diff options
Diffstat (limited to '')
62 files changed, 22028 insertions, 0 deletions
diff --git a/modules/brotli/enc/backward_references.c b/modules/brotli/enc/backward_references.c new file mode 100644 index 0000000000..a07a617a09 --- /dev/null +++ b/modules/brotli/enc/backward_references.c @@ -0,0 +1,145 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Function to find backward reference copies. */ + +#include "./backward_references.h" + +#include "../common/constants.h" +#include "../common/context.h" +#include "../common/dictionary.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./command.h" +#include "./dictionary_hash.h" +#include "./memory.h" +#include "./quality.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +static BROTLI_INLINE size_t ComputeDistanceCode(size_t distance, + size_t max_distance, + const int* dist_cache) { + if (distance <= max_distance) { + size_t distance_plus_3 = distance + 3; + size_t offset0 = distance_plus_3 - (size_t)dist_cache[0]; + size_t offset1 = distance_plus_3 - (size_t)dist_cache[1]; + if (distance == (size_t)dist_cache[0]) { + return 0; + } else if (distance == (size_t)dist_cache[1]) { + return 1; + } else if (offset0 < 7) { + return (0x9750468 >> (4 * offset0)) & 0xF; + } else if (offset1 < 7) { + return (0xFDB1ACE >> (4 * offset1)) & 0xF; + } else if (distance == (size_t)dist_cache[2]) { + return 2; + } else if (distance == (size_t)dist_cache[3]) { + return 3; + } + } + return distance + BROTLI_NUM_DISTANCE_SHORT_CODES - 1; +} + +#define EXPAND_CAT(a, b) CAT(a, b) +#define CAT(a, b) a ## b +#define FN(X) EXPAND_CAT(X, HASHER()) +#define EXPORT_FN(X) EXPAND_CAT(X, EXPAND_CAT(PREFIX(), HASHER())) + +#define PREFIX() N + +#define HASHER() H2 +/* NOLINTNEXTLINE(build/include) */ +#include "./backward_references_inc.h" +#undef HASHER + +#define HASHER() H3 +/* NOLINTNEXTLINE(build/include) */ +#include "./backward_references_inc.h" +#undef HASHER + +#define HASHER() H4 +/* NOLINTNEXTLINE(build/include) */ +#include "./backward_references_inc.h" +#undef HASHER + +#define HASHER() H5 +/* NOLINTNEXTLINE(build/include) */ +#include "./backward_references_inc.h" +#undef HASHER + +#define HASHER() H6 +/* NOLINTNEXTLINE(build/include) */ +#include "./backward_references_inc.h" +#undef HASHER + +#define HASHER() H40 +/* NOLINTNEXTLINE(build/include) */ +#include "./backward_references_inc.h" +#undef HASHER + +#define HASHER() H41 +/* NOLINTNEXTLINE(build/include) */ +#include "./backward_references_inc.h" +#undef HASHER + +#define HASHER() H42 +/* NOLINTNEXTLINE(build/include) */ +#include "./backward_references_inc.h" +#undef HASHER + +#define HASHER() H54 +/* NOLINTNEXTLINE(build/include) */ +#include "./backward_references_inc.h" +#undef HASHER + +#define HASHER() H35 +/* NOLINTNEXTLINE(build/include) */ +#include "./backward_references_inc.h" +#undef HASHER + +#define HASHER() H55 +/* NOLINTNEXTLINE(build/include) */ +#include "./backward_references_inc.h" +#undef HASHER + +#define HASHER() H65 +/* NOLINTNEXTLINE(build/include) */ +#include "./backward_references_inc.h" +#undef HASHER + +#undef PREFIX + +#undef EXPORT_FN +#undef FN +#undef CAT +#undef EXPAND_CAT + +void BrotliCreateBackwardReferences(size_t num_bytes, + size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, + ContextLut literal_context_lut, const BrotliEncoderParams* params, + Hasher* hasher, int* dist_cache, size_t* last_insert_len, + Command* commands, size_t* num_commands, size_t* num_literals) { + switch (params->hasher.type) { +#define CASE_(N) \ + case N: \ + CreateBackwardReferencesNH ## N(num_bytes, \ + position, ringbuffer, ringbuffer_mask, \ + literal_context_lut, params, hasher, dist_cache, \ + last_insert_len, commands, num_commands, num_literals); \ + return; + FOR_GENERIC_HASHERS(CASE_) +#undef CASE_ + default: + break; + } +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/backward_references.h b/modules/brotli/enc/backward_references.h new file mode 100644 index 0000000000..9589cc1541 --- /dev/null +++ b/modules/brotli/enc/backward_references.h @@ -0,0 +1,39 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Function to find backward reference copies. */ + +#ifndef BROTLI_ENC_BACKWARD_REFERENCES_H_ +#define BROTLI_ENC_BACKWARD_REFERENCES_H_ + +#include "../common/constants.h" +#include "../common/context.h" +#include "../common/dictionary.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./command.h" +#include "./hash.h" +#include "./quality.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* "commands" points to the next output command to write to, "*num_commands" is + initially the total amount of commands output by previous + CreateBackwardReferences calls, and must be incremented by the amount written + by this call. */ +BROTLI_INTERNAL void BrotliCreateBackwardReferences(size_t num_bytes, + size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, + ContextLut literal_context_lut, const BrotliEncoderParams* params, + Hasher* hasher, int* dist_cache, size_t* last_insert_len, + Command* commands, size_t* num_commands, size_t* num_literals); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_BACKWARD_REFERENCES_H_ */ diff --git a/modules/brotli/enc/backward_references_hq.c b/modules/brotli/enc/backward_references_hq.c new file mode 100644 index 0000000000..5651caeb7a --- /dev/null +++ b/modules/brotli/enc/backward_references_hq.c @@ -0,0 +1,843 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Function to find backward reference copies. */ + +#include "./backward_references_hq.h" + +#include <string.h> /* memcpy, memset */ + +#include "../common/constants.h" +#include "../common/context.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./command.h" +#include "./fast_log.h" +#include "./find_match_length.h" +#include "./literal_cost.h" +#include "./memory.h" +#include "./params.h" +#include "./prefix.h" +#include "./quality.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* BrotliCalculateDistanceCodeLimit(BROTLI_MAX_ALLOWED_DISTANCE, 3, 120). */ +#define BROTLI_MAX_EFFECTIVE_DISTANCE_ALPHABET_SIZE 544 + +static const float kInfinity = 1.7e38f; /* ~= 2 ^ 127 */ + +static const uint32_t kDistanceCacheIndex[] = { + 0, 1, 2, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, +}; +static const int kDistanceCacheOffset[] = { + 0, 0, 0, 0, -1, 1, -2, 2, -3, 3, -1, 1, -2, 2, -3, 3 +}; + +void BrotliInitZopfliNodes(ZopfliNode* array, size_t length) { + ZopfliNode stub; + size_t i; + stub.length = 1; + stub.distance = 0; + stub.dcode_insert_length = 0; + stub.u.cost = kInfinity; + for (i = 0; i < length; ++i) array[i] = stub; +} + +static BROTLI_INLINE uint32_t ZopfliNodeCopyLength(const ZopfliNode* self) { + return self->length & 0x1FFFFFF; +} + +static BROTLI_INLINE uint32_t ZopfliNodeLengthCode(const ZopfliNode* self) { + const uint32_t modifier = self->length >> 25; + return ZopfliNodeCopyLength(self) + 9u - modifier; +} + +static BROTLI_INLINE uint32_t ZopfliNodeCopyDistance(const ZopfliNode* self) { + return self->distance; +} + +static BROTLI_INLINE uint32_t ZopfliNodeDistanceCode(const ZopfliNode* self) { + const uint32_t short_code = self->dcode_insert_length >> 27; + return short_code == 0 ? + ZopfliNodeCopyDistance(self) + BROTLI_NUM_DISTANCE_SHORT_CODES - 1 : + short_code - 1; +} + +static BROTLI_INLINE uint32_t ZopfliNodeCommandLength(const ZopfliNode* self) { + return ZopfliNodeCopyLength(self) + (self->dcode_insert_length & 0x7FFFFFF); +} + +/* Histogram based cost model for zopflification. */ +typedef struct ZopfliCostModel { + /* The insert and copy length symbols. */ + float cost_cmd_[BROTLI_NUM_COMMAND_SYMBOLS]; + float* cost_dist_; + uint32_t distance_histogram_size; + /* Cumulative costs of literals per position in the stream. */ + float* literal_costs_; + float min_cost_cmd_; + size_t num_bytes_; +} ZopfliCostModel; + +static void InitZopfliCostModel( + MemoryManager* m, ZopfliCostModel* self, const BrotliDistanceParams* dist, + size_t num_bytes) { + self->num_bytes_ = num_bytes; + self->literal_costs_ = BROTLI_ALLOC(m, float, num_bytes + 2); + self->cost_dist_ = BROTLI_ALLOC(m, float, dist->alphabet_size_limit); + self->distance_histogram_size = dist->alphabet_size_limit; + if (BROTLI_IS_OOM(m)) return; +} + +static void CleanupZopfliCostModel(MemoryManager* m, ZopfliCostModel* self) { + BROTLI_FREE(m, self->literal_costs_); + BROTLI_FREE(m, self->cost_dist_); +} + +static void SetCost(const uint32_t* histogram, size_t histogram_size, + BROTLI_BOOL literal_histogram, float* cost) { + size_t sum = 0; + size_t missing_symbol_sum; + float log2sum; + float missing_symbol_cost; + size_t i; + for (i = 0; i < histogram_size; i++) { + sum += histogram[i]; + } + log2sum = (float)FastLog2(sum); + missing_symbol_sum = sum; + if (!literal_histogram) { + for (i = 0; i < histogram_size; i++) { + if (histogram[i] == 0) missing_symbol_sum++; + } + } + missing_symbol_cost = (float)FastLog2(missing_symbol_sum) + 2; + for (i = 0; i < histogram_size; i++) { + if (histogram[i] == 0) { + cost[i] = missing_symbol_cost; + continue; + } + + /* Shannon bits for this symbol. */ + cost[i] = log2sum - (float)FastLog2(histogram[i]); + + /* Cannot be coded with less than 1 bit */ + if (cost[i] < 1) cost[i] = 1; + } +} + +static void ZopfliCostModelSetFromCommands(ZopfliCostModel* self, + size_t position, + const uint8_t* ringbuffer, + size_t ringbuffer_mask, + const Command* commands, + size_t num_commands, + size_t last_insert_len) { + uint32_t histogram_literal[BROTLI_NUM_LITERAL_SYMBOLS]; + uint32_t histogram_cmd[BROTLI_NUM_COMMAND_SYMBOLS]; + uint32_t histogram_dist[BROTLI_MAX_EFFECTIVE_DISTANCE_ALPHABET_SIZE]; + float cost_literal[BROTLI_NUM_LITERAL_SYMBOLS]; + size_t pos = position - last_insert_len; + float min_cost_cmd = kInfinity; + size_t i; + float* cost_cmd = self->cost_cmd_; + + memset(histogram_literal, 0, sizeof(histogram_literal)); + memset(histogram_cmd, 0, sizeof(histogram_cmd)); + memset(histogram_dist, 0, sizeof(histogram_dist)); + + for (i = 0; i < num_commands; i++) { + size_t inslength = commands[i].insert_len_; + size_t copylength = CommandCopyLen(&commands[i]); + size_t distcode = commands[i].dist_prefix_ & 0x3FF; + size_t cmdcode = commands[i].cmd_prefix_; + size_t j; + + histogram_cmd[cmdcode]++; + if (cmdcode >= 128) histogram_dist[distcode]++; + + for (j = 0; j < inslength; j++) { + histogram_literal[ringbuffer[(pos + j) & ringbuffer_mask]]++; + } + + pos += inslength + copylength; + } + + SetCost(histogram_literal, BROTLI_NUM_LITERAL_SYMBOLS, BROTLI_TRUE, + cost_literal); + SetCost(histogram_cmd, BROTLI_NUM_COMMAND_SYMBOLS, BROTLI_FALSE, + cost_cmd); + SetCost(histogram_dist, self->distance_histogram_size, BROTLI_FALSE, + self->cost_dist_); + + for (i = 0; i < BROTLI_NUM_COMMAND_SYMBOLS; ++i) { + min_cost_cmd = BROTLI_MIN(float, min_cost_cmd, cost_cmd[i]); + } + self->min_cost_cmd_ = min_cost_cmd; + + { + float* literal_costs = self->literal_costs_; + float literal_carry = 0.0; + size_t num_bytes = self->num_bytes_; + literal_costs[0] = 0.0; + for (i = 0; i < num_bytes; ++i) { + literal_carry += + cost_literal[ringbuffer[(position + i) & ringbuffer_mask]]; + literal_costs[i + 1] = literal_costs[i] + literal_carry; + literal_carry -= literal_costs[i + 1] - literal_costs[i]; + } + } +} + +static void ZopfliCostModelSetFromLiteralCosts(ZopfliCostModel* self, + size_t position, + const uint8_t* ringbuffer, + size_t ringbuffer_mask) { + float* literal_costs = self->literal_costs_; + float literal_carry = 0.0; + float* cost_dist = self->cost_dist_; + float* cost_cmd = self->cost_cmd_; + size_t num_bytes = self->num_bytes_; + size_t i; + BrotliEstimateBitCostsForLiterals(position, num_bytes, ringbuffer_mask, + ringbuffer, &literal_costs[1]); + literal_costs[0] = 0.0; + for (i = 0; i < num_bytes; ++i) { + literal_carry += literal_costs[i + 1]; + literal_costs[i + 1] = literal_costs[i] + literal_carry; + literal_carry -= literal_costs[i + 1] - literal_costs[i]; + } + for (i = 0; i < BROTLI_NUM_COMMAND_SYMBOLS; ++i) { + cost_cmd[i] = (float)FastLog2(11 + (uint32_t)i); + } + for (i = 0; i < self->distance_histogram_size; ++i) { + cost_dist[i] = (float)FastLog2(20 + (uint32_t)i); + } + self->min_cost_cmd_ = (float)FastLog2(11); +} + +static BROTLI_INLINE float ZopfliCostModelGetCommandCost( + const ZopfliCostModel* self, uint16_t cmdcode) { + return self->cost_cmd_[cmdcode]; +} + +static BROTLI_INLINE float ZopfliCostModelGetDistanceCost( + const ZopfliCostModel* self, size_t distcode) { + return self->cost_dist_[distcode]; +} + +static BROTLI_INLINE float ZopfliCostModelGetLiteralCosts( + const ZopfliCostModel* self, size_t from, size_t to) { + return self->literal_costs_[to] - self->literal_costs_[from]; +} + +static BROTLI_INLINE float ZopfliCostModelGetMinCostCmd( + const ZopfliCostModel* self) { + return self->min_cost_cmd_; +} + +/* REQUIRES: len >= 2, start_pos <= pos */ +/* REQUIRES: cost < kInfinity, nodes[start_pos].cost < kInfinity */ +/* Maintains the "ZopfliNode array invariant". */ +static BROTLI_INLINE void UpdateZopfliNode(ZopfliNode* nodes, size_t pos, + size_t start_pos, size_t len, size_t len_code, size_t dist, + size_t short_code, float cost) { + ZopfliNode* next = &nodes[pos + len]; + next->length = (uint32_t)(len | ((len + 9u - len_code) << 25)); + next->distance = (uint32_t)dist; + next->dcode_insert_length = (uint32_t)( + (short_code << 27) | (pos - start_pos)); + next->u.cost = cost; +} + +typedef struct PosData { + size_t pos; + int distance_cache[4]; + float costdiff; + float cost; +} PosData; + +/* Maintains the smallest 8 cost difference together with their positions */ +typedef struct StartPosQueue { + PosData q_[8]; + size_t idx_; +} StartPosQueue; + +static BROTLI_INLINE void InitStartPosQueue(StartPosQueue* self) { + self->idx_ = 0; +} + +static size_t StartPosQueueSize(const StartPosQueue* self) { + return BROTLI_MIN(size_t, self->idx_, 8); +} + +static void StartPosQueuePush(StartPosQueue* self, const PosData* posdata) { + size_t offset = ~(self->idx_++) & 7; + size_t len = StartPosQueueSize(self); + size_t i; + PosData* q = self->q_; + q[offset] = *posdata; + /* Restore the sorted order. In the list of |len| items at most |len - 1| + adjacent element comparisons / swaps are required. */ + for (i = 1; i < len; ++i) { + if (q[offset & 7].costdiff > q[(offset + 1) & 7].costdiff) { + BROTLI_SWAP(PosData, q, offset & 7, (offset + 1) & 7); + } + ++offset; + } +} + +static const PosData* StartPosQueueAt(const StartPosQueue* self, size_t k) { + return &self->q_[(k - self->idx_) & 7]; +} + +/* Returns the minimum possible copy length that can improve the cost of any */ +/* future position. */ +static size_t ComputeMinimumCopyLength(const float start_cost, + const ZopfliNode* nodes, + const size_t num_bytes, + const size_t pos) { + /* Compute the minimum possible cost of reaching any future position. */ + float min_cost = start_cost; + size_t len = 2; + size_t next_len_bucket = 4; + size_t next_len_offset = 10; + while (pos + len <= num_bytes && nodes[pos + len].u.cost <= min_cost) { + /* We already reached (pos + len) with no more cost than the minimum + possible cost of reaching anything from this pos, so there is no point in + looking for lengths <= len. */ + ++len; + if (len == next_len_offset) { + /* We reached the next copy length code bucket, so we add one more + extra bit to the minimum cost. */ + min_cost += 1.0f; + next_len_offset += next_len_bucket; + next_len_bucket *= 2; + } + } + return len; +} + +/* REQUIRES: nodes[pos].cost < kInfinity + REQUIRES: nodes[0..pos] satisfies that "ZopfliNode array invariant". */ +static uint32_t ComputeDistanceShortcut(const size_t block_start, + const size_t pos, + const size_t max_backward_limit, + const size_t gap, + const ZopfliNode* nodes) { + const size_t clen = ZopfliNodeCopyLength(&nodes[pos]); + const size_t ilen = nodes[pos].dcode_insert_length & 0x7FFFFFF; + const size_t dist = ZopfliNodeCopyDistance(&nodes[pos]); + /* Since |block_start + pos| is the end position of the command, the copy part + starts from |block_start + pos - clen|. Distances that are greater than + this or greater than |max_backward_limit| + |gap| are static dictionary + references, and do not update the last distances. + Also distance code 0 (last distance) does not update the last distances. */ + if (pos == 0) { + return 0; + } else if (dist + clen <= block_start + pos + gap && + dist <= max_backward_limit + gap && + ZopfliNodeDistanceCode(&nodes[pos]) > 0) { + return (uint32_t)pos; + } else { + return nodes[pos - clen - ilen].u.shortcut; + } +} + +/* Fills in dist_cache[0..3] with the last four distances (as defined by + Section 4. of the Spec) that would be used at (block_start + pos) if we + used the shortest path of commands from block_start, computed from + nodes[0..pos]. The last four distances at block_start are in + starting_dist_cache[0..3]. + REQUIRES: nodes[pos].cost < kInfinity + REQUIRES: nodes[0..pos] satisfies that "ZopfliNode array invariant". */ +static void ComputeDistanceCache(const size_t pos, + const int* starting_dist_cache, + const ZopfliNode* nodes, + int* dist_cache) { + int idx = 0; + size_t p = nodes[pos].u.shortcut; + while (idx < 4 && p > 0) { + const size_t ilen = nodes[p].dcode_insert_length & 0x7FFFFFF; + const size_t clen = ZopfliNodeCopyLength(&nodes[p]); + const size_t dist = ZopfliNodeCopyDistance(&nodes[p]); + dist_cache[idx++] = (int)dist; + /* Because of prerequisite, p >= clen + ilen >= 2. */ + p = nodes[p - clen - ilen].u.shortcut; + } + for (; idx < 4; ++idx) { + dist_cache[idx] = *starting_dist_cache++; + } +} + +/* Maintains "ZopfliNode array invariant" and pushes node to the queue, if it + is eligible. */ +static void EvaluateNode( + const size_t block_start, const size_t pos, const size_t max_backward_limit, + const size_t gap, const int* starting_dist_cache, + const ZopfliCostModel* model, StartPosQueue* queue, ZopfliNode* nodes) { + /* Save cost, because ComputeDistanceCache invalidates it. */ + float node_cost = nodes[pos].u.cost; + nodes[pos].u.shortcut = ComputeDistanceShortcut( + block_start, pos, max_backward_limit, gap, nodes); + if (node_cost <= ZopfliCostModelGetLiteralCosts(model, 0, pos)) { + PosData posdata; + posdata.pos = pos; + posdata.cost = node_cost; + posdata.costdiff = node_cost - + ZopfliCostModelGetLiteralCosts(model, 0, pos); + ComputeDistanceCache( + pos, starting_dist_cache, nodes, posdata.distance_cache); + StartPosQueuePush(queue, &posdata); + } +} + +/* Returns longest copy length. */ +static size_t UpdateNodes( + const size_t num_bytes, const size_t block_start, const size_t pos, + const uint8_t* ringbuffer, const size_t ringbuffer_mask, + const BrotliEncoderParams* params, const size_t max_backward_limit, + const int* starting_dist_cache, const size_t num_matches, + const BackwardMatch* matches, const ZopfliCostModel* model, + StartPosQueue* queue, ZopfliNode* nodes) { + const size_t stream_offset = params->stream_offset; + const size_t cur_ix = block_start + pos; + const size_t cur_ix_masked = cur_ix & ringbuffer_mask; + const size_t max_distance = BROTLI_MIN(size_t, cur_ix, max_backward_limit); + const size_t dictionary_start = BROTLI_MIN(size_t, + cur_ix + stream_offset, max_backward_limit); + const size_t max_len = num_bytes - pos; + const size_t max_zopfli_len = MaxZopfliLen(params); + const size_t max_iters = MaxZopfliCandidates(params); + size_t min_len; + size_t result = 0; + size_t k; + size_t gap = 0; + + EvaluateNode(block_start + stream_offset, pos, max_backward_limit, gap, + starting_dist_cache, model, queue, nodes); + + { + const PosData* posdata = StartPosQueueAt(queue, 0); + float min_cost = (posdata->cost + ZopfliCostModelGetMinCostCmd(model) + + ZopfliCostModelGetLiteralCosts(model, posdata->pos, pos)); + min_len = ComputeMinimumCopyLength(min_cost, nodes, num_bytes, pos); + } + + /* Go over the command starting positions in order of increasing cost + difference. */ + for (k = 0; k < max_iters && k < StartPosQueueSize(queue); ++k) { + const PosData* posdata = StartPosQueueAt(queue, k); + const size_t start = posdata->pos; + const uint16_t inscode = GetInsertLengthCode(pos - start); + const float start_costdiff = posdata->costdiff; + const float base_cost = start_costdiff + (float)GetInsertExtra(inscode) + + ZopfliCostModelGetLiteralCosts(model, 0, pos); + + /* Look for last distance matches using the distance cache from this + starting position. */ + size_t best_len = min_len - 1; + size_t j = 0; + for (; j < BROTLI_NUM_DISTANCE_SHORT_CODES && best_len < max_len; ++j) { + const size_t idx = kDistanceCacheIndex[j]; + const size_t backward = + (size_t)(posdata->distance_cache[idx] + kDistanceCacheOffset[j]); + size_t prev_ix = cur_ix - backward; + size_t len = 0; + uint8_t continuation = ringbuffer[cur_ix_masked + best_len]; + if (cur_ix_masked + best_len > ringbuffer_mask) { + break; + } + if (BROTLI_PREDICT_FALSE(backward > dictionary_start + gap)) { + /* Word dictionary -> ignore. */ + continue; + } + if (backward <= max_distance) { + /* Regular backward reference. */ + if (prev_ix >= cur_ix) { + continue; + } + + prev_ix &= ringbuffer_mask; + if (prev_ix + best_len > ringbuffer_mask || + continuation != ringbuffer[prev_ix + best_len]) { + continue; + } + len = FindMatchLengthWithLimit(&ringbuffer[prev_ix], + &ringbuffer[cur_ix_masked], + max_len); + } else { + /* "Gray" area. It is addressable by decoder, but this encoder + instance does not have that data -> should not touch it. */ + continue; + } + { + const float dist_cost = base_cost + + ZopfliCostModelGetDistanceCost(model, j); + size_t l; + for (l = best_len + 1; l <= len; ++l) { + const uint16_t copycode = GetCopyLengthCode(l); + const uint16_t cmdcode = + CombineLengthCodes(inscode, copycode, j == 0); + const float cost = (cmdcode < 128 ? base_cost : dist_cost) + + (float)GetCopyExtra(copycode) + + ZopfliCostModelGetCommandCost(model, cmdcode); + if (cost < nodes[pos + l].u.cost) { + UpdateZopfliNode(nodes, pos, start, l, l, backward, j + 1, cost); + result = BROTLI_MAX(size_t, result, l); + } + best_len = l; + } + } + } + + /* At higher iterations look only for new last distance matches, since + looking only for new command start positions with the same distances + does not help much. */ + if (k >= 2) continue; + + { + /* Loop through all possible copy lengths at this position. */ + size_t len = min_len; + for (j = 0; j < num_matches; ++j) { + BackwardMatch match = matches[j]; + size_t dist = match.distance; + BROTLI_BOOL is_dictionary_match = + TO_BROTLI_BOOL(dist > dictionary_start + gap); + /* We already tried all possible last distance matches, so we can use + normal distance code here. */ + size_t dist_code = dist + BROTLI_NUM_DISTANCE_SHORT_CODES - 1; + uint16_t dist_symbol; + uint32_t distextra; + uint32_t distnumextra; + float dist_cost; + size_t max_match_len; + PrefixEncodeCopyDistance( + dist_code, params->dist.num_direct_distance_codes, + params->dist.distance_postfix_bits, &dist_symbol, &distextra); + distnumextra = dist_symbol >> 10; + dist_cost = base_cost + (float)distnumextra + + ZopfliCostModelGetDistanceCost(model, dist_symbol & 0x3FF); + + /* Try all copy lengths up until the maximum copy length corresponding + to this distance. If the distance refers to the static dictionary, or + the maximum length is long enough, try only one maximum length. */ + max_match_len = BackwardMatchLength(&match); + if (len < max_match_len && + (is_dictionary_match || max_match_len > max_zopfli_len)) { + len = max_match_len; + } + for (; len <= max_match_len; ++len) { + const size_t len_code = + is_dictionary_match ? BackwardMatchLengthCode(&match) : len; + const uint16_t copycode = GetCopyLengthCode(len_code); + const uint16_t cmdcode = CombineLengthCodes(inscode, copycode, 0); + const float cost = dist_cost + (float)GetCopyExtra(copycode) + + ZopfliCostModelGetCommandCost(model, cmdcode); + if (cost < nodes[pos + len].u.cost) { + UpdateZopfliNode(nodes, pos, start, len, len_code, dist, 0, cost); + result = BROTLI_MAX(size_t, result, len); + } + } + } + } + } + return result; +} + +static size_t ComputeShortestPathFromNodes(size_t num_bytes, + ZopfliNode* nodes) { + size_t index = num_bytes; + size_t num_commands = 0; + while ((nodes[index].dcode_insert_length & 0x7FFFFFF) == 0 && + nodes[index].length == 1) --index; + nodes[index].u.next = BROTLI_UINT32_MAX; + while (index != 0) { + size_t len = ZopfliNodeCommandLength(&nodes[index]); + index -= len; + nodes[index].u.next = (uint32_t)len; + num_commands++; + } + return num_commands; +} + +/* REQUIRES: nodes != NULL and len(nodes) >= num_bytes + 1 */ +void BrotliZopfliCreateCommands(const size_t num_bytes, + const size_t block_start, const ZopfliNode* nodes, int* dist_cache, + size_t* last_insert_len, const BrotliEncoderParams* params, + Command* commands, size_t* num_literals) { + const size_t stream_offset = params->stream_offset; + const size_t max_backward_limit = BROTLI_MAX_BACKWARD_LIMIT(params->lgwin); + size_t pos = 0; + uint32_t offset = nodes[0].u.next; + size_t i; + size_t gap = 0; + for (i = 0; offset != BROTLI_UINT32_MAX; i++) { + const ZopfliNode* next = &nodes[pos + offset]; + size_t copy_length = ZopfliNodeCopyLength(next); + size_t insert_length = next->dcode_insert_length & 0x7FFFFFF; + pos += insert_length; + offset = next->u.next; + if (i == 0) { + insert_length += *last_insert_len; + *last_insert_len = 0; + } + { + size_t distance = ZopfliNodeCopyDistance(next); + size_t len_code = ZopfliNodeLengthCode(next); + size_t dictionary_start = BROTLI_MIN(size_t, + block_start + pos + stream_offset, max_backward_limit); + BROTLI_BOOL is_dictionary = + TO_BROTLI_BOOL(distance > dictionary_start + gap); + size_t dist_code = ZopfliNodeDistanceCode(next); + InitCommand(&commands[i], ¶ms->dist, insert_length, + copy_length, (int)len_code - (int)copy_length, dist_code); + + if (!is_dictionary && dist_code > 0) { + dist_cache[3] = dist_cache[2]; + dist_cache[2] = dist_cache[1]; + dist_cache[1] = dist_cache[0]; + dist_cache[0] = (int)distance; + } + } + + *num_literals += insert_length; + pos += copy_length; + } + *last_insert_len += num_bytes - pos; +} + +static size_t ZopfliIterate(size_t num_bytes, size_t position, + const uint8_t* ringbuffer, size_t ringbuffer_mask, + const BrotliEncoderParams* params, const size_t gap, const int* dist_cache, + const ZopfliCostModel* model, const uint32_t* num_matches, + const BackwardMatch* matches, ZopfliNode* nodes) { + const size_t stream_offset = params->stream_offset; + const size_t max_backward_limit = BROTLI_MAX_BACKWARD_LIMIT(params->lgwin); + const size_t max_zopfli_len = MaxZopfliLen(params); + StartPosQueue queue; + size_t cur_match_pos = 0; + size_t i; + nodes[0].length = 0; + nodes[0].u.cost = 0; + InitStartPosQueue(&queue); + for (i = 0; i + 3 < num_bytes; i++) { + size_t skip = UpdateNodes(num_bytes, position, i, ringbuffer, + ringbuffer_mask, params, max_backward_limit, dist_cache, + num_matches[i], &matches[cur_match_pos], model, &queue, nodes); + if (skip < BROTLI_LONG_COPY_QUICK_STEP) skip = 0; + cur_match_pos += num_matches[i]; + if (num_matches[i] == 1 && + BackwardMatchLength(&matches[cur_match_pos - 1]) > max_zopfli_len) { + skip = BROTLI_MAX(size_t, + BackwardMatchLength(&matches[cur_match_pos - 1]), skip); + } + if (skip > 1) { + skip--; + while (skip) { + i++; + if (i + 3 >= num_bytes) break; + EvaluateNode(position + stream_offset, i, max_backward_limit, gap, + dist_cache, model, &queue, nodes); + cur_match_pos += num_matches[i]; + skip--; + } + } + } + return ComputeShortestPathFromNodes(num_bytes, nodes); +} + +/* REQUIRES: nodes != NULL and len(nodes) >= num_bytes + 1 */ +size_t BrotliZopfliComputeShortestPath(MemoryManager* m, size_t num_bytes, + size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, + ContextLut literal_context_lut, const BrotliEncoderParams* params, + const int* dist_cache, Hasher* hasher, ZopfliNode* nodes) { + const size_t stream_offset = params->stream_offset; + const size_t max_backward_limit = BROTLI_MAX_BACKWARD_LIMIT(params->lgwin); + const size_t max_zopfli_len = MaxZopfliLen(params); + ZopfliCostModel model; + StartPosQueue queue; + BackwardMatch matches[2 * (MAX_NUM_MATCHES_H10 + 64)]; + const size_t store_end = num_bytes >= StoreLookaheadH10() ? + position + num_bytes - StoreLookaheadH10() + 1 : position; + size_t i; + size_t gap = 0; + size_t lz_matches_offset = 0; + BROTLI_UNUSED(literal_context_lut); + nodes[0].length = 0; + nodes[0].u.cost = 0; + InitZopfliCostModel(m, &model, ¶ms->dist, num_bytes); + if (BROTLI_IS_OOM(m)) return 0; + ZopfliCostModelSetFromLiteralCosts( + &model, position, ringbuffer, ringbuffer_mask); + InitStartPosQueue(&queue); + for (i = 0; i + HashTypeLengthH10() - 1 < num_bytes; i++) { + const size_t pos = position + i; + const size_t max_distance = BROTLI_MIN(size_t, pos, max_backward_limit); + const size_t dictionary_start = BROTLI_MIN(size_t, + pos + stream_offset, max_backward_limit); + size_t skip; + size_t num_matches; + num_matches = FindAllMatchesH10(&hasher->privat._H10, + ¶ms->dictionary, + ringbuffer, ringbuffer_mask, pos, num_bytes - i, max_distance, + dictionary_start + gap, params, &matches[lz_matches_offset]); + if (num_matches > 0 && + BackwardMatchLength(&matches[num_matches - 1]) > max_zopfli_len) { + matches[0] = matches[num_matches - 1]; + num_matches = 1; + } + skip = UpdateNodes(num_bytes, position, i, ringbuffer, ringbuffer_mask, + params, max_backward_limit, dist_cache, num_matches, matches, &model, + &queue, nodes); + if (skip < BROTLI_LONG_COPY_QUICK_STEP) skip = 0; + if (num_matches == 1 && BackwardMatchLength(&matches[0]) > max_zopfli_len) { + skip = BROTLI_MAX(size_t, BackwardMatchLength(&matches[0]), skip); + } + if (skip > 1) { + /* Add the tail of the copy to the hasher. */ + StoreRangeH10(&hasher->privat._H10, + ringbuffer, ringbuffer_mask, pos + 1, BROTLI_MIN( + size_t, pos + skip, store_end)); + skip--; + while (skip) { + i++; + if (i + HashTypeLengthH10() - 1 >= num_bytes) break; + EvaluateNode(position + stream_offset, i, max_backward_limit, gap, + dist_cache, &model, &queue, nodes); + skip--; + } + } + } + CleanupZopfliCostModel(m, &model); + return ComputeShortestPathFromNodes(num_bytes, nodes); +} + +void BrotliCreateZopfliBackwardReferences(MemoryManager* m, size_t num_bytes, + size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, + ContextLut literal_context_lut, const BrotliEncoderParams* params, + Hasher* hasher, int* dist_cache, size_t* last_insert_len, + Command* commands, size_t* num_commands, size_t* num_literals) { + ZopfliNode* nodes = BROTLI_ALLOC(m, ZopfliNode, num_bytes + 1); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(nodes)) return; + BrotliInitZopfliNodes(nodes, num_bytes + 1); + *num_commands += BrotliZopfliComputeShortestPath(m, num_bytes, + position, ringbuffer, ringbuffer_mask, literal_context_lut, params, + dist_cache, hasher, nodes); + if (BROTLI_IS_OOM(m)) return; + BrotliZopfliCreateCommands(num_bytes, position, nodes, dist_cache, + last_insert_len, params, commands, num_literals); + BROTLI_FREE(m, nodes); +} + +void BrotliCreateHqZopfliBackwardReferences(MemoryManager* m, size_t num_bytes, + size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, + ContextLut literal_context_lut, const BrotliEncoderParams* params, + Hasher* hasher, int* dist_cache, size_t* last_insert_len, + Command* commands, size_t* num_commands, size_t* num_literals) { + const size_t stream_offset = params->stream_offset; + const size_t max_backward_limit = BROTLI_MAX_BACKWARD_LIMIT(params->lgwin); + uint32_t* num_matches = BROTLI_ALLOC(m, uint32_t, num_bytes); + size_t matches_size = 4 * num_bytes; + const size_t store_end = num_bytes >= StoreLookaheadH10() ? + position + num_bytes - StoreLookaheadH10() + 1 : position; + size_t cur_match_pos = 0; + size_t i; + size_t orig_num_literals; + size_t orig_last_insert_len; + int orig_dist_cache[4]; + size_t orig_num_commands; + ZopfliCostModel model; + ZopfliNode* nodes; + BackwardMatch* matches = BROTLI_ALLOC(m, BackwardMatch, matches_size); + size_t gap = 0; + size_t shadow_matches = 0; + BROTLI_UNUSED(literal_context_lut); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(num_matches) || + BROTLI_IS_NULL(matches)) { + return; + } + for (i = 0; i + HashTypeLengthH10() - 1 < num_bytes; ++i) { + const size_t pos = position + i; + size_t max_distance = BROTLI_MIN(size_t, pos, max_backward_limit); + size_t dictionary_start = BROTLI_MIN(size_t, + pos + stream_offset, max_backward_limit); + size_t max_length = num_bytes - i; + size_t num_found_matches; + size_t cur_match_end; + size_t j; + /* Ensure that we have enough free slots. */ + BROTLI_ENSURE_CAPACITY(m, BackwardMatch, matches, matches_size, + cur_match_pos + MAX_NUM_MATCHES_H10 + shadow_matches); + if (BROTLI_IS_OOM(m)) return; + num_found_matches = FindAllMatchesH10(&hasher->privat._H10, + ¶ms->dictionary, + ringbuffer, ringbuffer_mask, pos, max_length, + max_distance, dictionary_start + gap, params, + &matches[cur_match_pos + shadow_matches]); + cur_match_end = cur_match_pos + num_found_matches; + for (j = cur_match_pos; j + 1 < cur_match_end; ++j) { + BROTLI_DCHECK(BackwardMatchLength(&matches[j]) <= + BackwardMatchLength(&matches[j + 1])); + } + num_matches[i] = (uint32_t)num_found_matches; + if (num_found_matches > 0) { + const size_t match_len = BackwardMatchLength(&matches[cur_match_end - 1]); + if (match_len > MAX_ZOPFLI_LEN_QUALITY_11) { + const size_t skip = match_len - 1; + matches[cur_match_pos++] = matches[cur_match_end - 1]; + num_matches[i] = 1; + /* Add the tail of the copy to the hasher. */ + StoreRangeH10(&hasher->privat._H10, + ringbuffer, ringbuffer_mask, pos + 1, + BROTLI_MIN(size_t, pos + match_len, store_end)); + memset(&num_matches[i + 1], 0, skip * sizeof(num_matches[0])); + i += skip; + } else { + cur_match_pos = cur_match_end; + } + } + } + orig_num_literals = *num_literals; + orig_last_insert_len = *last_insert_len; + memcpy(orig_dist_cache, dist_cache, 4 * sizeof(dist_cache[0])); + orig_num_commands = *num_commands; + nodes = BROTLI_ALLOC(m, ZopfliNode, num_bytes + 1); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(nodes)) return; + InitZopfliCostModel(m, &model, ¶ms->dist, num_bytes); + if (BROTLI_IS_OOM(m)) return; + for (i = 0; i < 2; i++) { + BrotliInitZopfliNodes(nodes, num_bytes + 1); + if (i == 0) { + ZopfliCostModelSetFromLiteralCosts( + &model, position, ringbuffer, ringbuffer_mask); + } else { + ZopfliCostModelSetFromCommands(&model, position, ringbuffer, + ringbuffer_mask, commands, *num_commands - orig_num_commands, + orig_last_insert_len); + } + *num_commands = orig_num_commands; + *num_literals = orig_num_literals; + *last_insert_len = orig_last_insert_len; + memcpy(dist_cache, orig_dist_cache, 4 * sizeof(dist_cache[0])); + *num_commands += ZopfliIterate(num_bytes, position, ringbuffer, + ringbuffer_mask, params, gap, dist_cache, &model, num_matches, matches, + nodes); + BrotliZopfliCreateCommands(num_bytes, position, nodes, dist_cache, + last_insert_len, params, commands, num_literals); + } + CleanupZopfliCostModel(m, &model); + BROTLI_FREE(m, nodes); + BROTLI_FREE(m, matches); + BROTLI_FREE(m, num_matches); +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/backward_references_hq.h b/modules/brotli/enc/backward_references_hq.h new file mode 100644 index 0000000000..36b75f250d --- /dev/null +++ b/modules/brotli/enc/backward_references_hq.h @@ -0,0 +1,95 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Function to find backward reference copies. */ + +#ifndef BROTLI_ENC_BACKWARD_REFERENCES_HQ_H_ +#define BROTLI_ENC_BACKWARD_REFERENCES_HQ_H_ + +#include "../common/constants.h" +#include "../common/context.h" +#include "../common/dictionary.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./command.h" +#include "./hash.h" +#include "./memory.h" +#include "./quality.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +BROTLI_INTERNAL void BrotliCreateZopfliBackwardReferences(MemoryManager* m, + size_t num_bytes, + size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, + ContextLut literal_context_lut, const BrotliEncoderParams* params, + Hasher* hasher, int* dist_cache, size_t* last_insert_len, + Command* commands, size_t* num_commands, size_t* num_literals); + +BROTLI_INTERNAL void BrotliCreateHqZopfliBackwardReferences(MemoryManager* m, + size_t num_bytes, + size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, + ContextLut literal_context_lut, const BrotliEncoderParams* params, + Hasher* hasher, int* dist_cache, size_t* last_insert_len, + Command* commands, size_t* num_commands, size_t* num_literals); + +typedef struct ZopfliNode { + /* Best length to get up to this byte (not including this byte itself) + highest 7 bit is used to reconstruct the length code. */ + uint32_t length; + /* Distance associated with the length. */ + uint32_t distance; + /* Number of literal inserts before this copy; highest 5 bits contain + distance short code + 1 (or zero if no short code). */ + uint32_t dcode_insert_length; + + /* This union holds information used by dynamic-programming. During forward + pass |cost| it used to store the goal function. When node is processed its + |cost| is invalidated in favor of |shortcut|. On path back-tracing pass + |next| is assigned the offset to next node on the path. */ + union { + /* Smallest cost to get to this byte from the beginning, as found so far. */ + float cost; + /* Offset to the next node on the path. Equals to command_length() of the + next node on the path. For last node equals to BROTLI_UINT32_MAX */ + uint32_t next; + /* Node position that provides next distance for distance cache. */ + uint32_t shortcut; + } u; +} ZopfliNode; + +BROTLI_INTERNAL void BrotliInitZopfliNodes(ZopfliNode* array, size_t length); + +/* Computes the shortest path of commands from position to at most + position + num_bytes. + + On return, path->size() is the number of commands found and path[i] is the + length of the i-th command (copy length plus insert length). + Note that the sum of the lengths of all commands can be less than num_bytes. + + On return, the nodes[0..num_bytes] array will have the following + "ZopfliNode array invariant": + For each i in [1..num_bytes], if nodes[i].cost < kInfinity, then + (1) nodes[i].copy_length() >= 2 + (2) nodes[i].command_length() <= i and + (3) nodes[i - nodes[i].command_length()].cost < kInfinity */ +BROTLI_INTERNAL size_t BrotliZopfliComputeShortestPath( + MemoryManager* m, size_t num_bytes, + size_t position, const uint8_t* ringbuffer, size_t ringbuffer_mask, + ContextLut literal_context_lut, const BrotliEncoderParams* params, + const int* dist_cache, Hasher* hasher, ZopfliNode* nodes); + +BROTLI_INTERNAL void BrotliZopfliCreateCommands( + const size_t num_bytes, const size_t block_start, const ZopfliNode* nodes, + int* dist_cache, size_t* last_insert_len, const BrotliEncoderParams* params, + Command* commands, size_t* num_literals); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_BACKWARD_REFERENCES_HQ_H_ */ diff --git a/modules/brotli/enc/backward_references_inc.h b/modules/brotli/enc/backward_references_inc.h new file mode 100644 index 0000000000..766bf91ffd --- /dev/null +++ b/modules/brotli/enc/backward_references_inc.h @@ -0,0 +1,163 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: EXPORT_FN, FN */ + +static BROTLI_NOINLINE void EXPORT_FN(CreateBackwardReferences)( + size_t num_bytes, size_t position, + const uint8_t* ringbuffer, size_t ringbuffer_mask, + ContextLut literal_context_lut, const BrotliEncoderParams* params, + Hasher* hasher, int* dist_cache, size_t* last_insert_len, + Command* commands, size_t* num_commands, size_t* num_literals) { + HASHER()* privat = &hasher->privat.FN(_); + /* Set maximum distance, see section 9.1. of the spec. */ + const size_t max_backward_limit = BROTLI_MAX_BACKWARD_LIMIT(params->lgwin); + const size_t position_offset = params->stream_offset; + + const Command* const orig_commands = commands; + size_t insert_length = *last_insert_len; + const size_t pos_end = position + num_bytes; + const size_t store_end = num_bytes >= FN(StoreLookahead)() ? + position + num_bytes - FN(StoreLookahead)() + 1 : position; + + /* For speed up heuristics for random data. */ + const size_t random_heuristics_window_size = + LiteralSpreeLengthForSparseSearch(params); + size_t apply_random_heuristics = position + random_heuristics_window_size; + const size_t gap = 0; + + /* Minimum score to accept a backward reference. */ + const score_t kMinScore = BROTLI_SCORE_BASE + 100; + + BROTLI_UNUSED(literal_context_lut); + + FN(PrepareDistanceCache)(privat, dist_cache); + + while (position + FN(HashTypeLength)() < pos_end) { + size_t max_length = pos_end - position; + size_t max_distance = BROTLI_MIN(size_t, position, max_backward_limit); + size_t dictionary_start = BROTLI_MIN(size_t, + position + position_offset, max_backward_limit); + HasherSearchResult sr; + sr.len = 0; + sr.len_code_delta = 0; + sr.distance = 0; + sr.score = kMinScore; + FN(FindLongestMatch)(privat, ¶ms->dictionary, + ringbuffer, ringbuffer_mask, dist_cache, position, max_length, + max_distance, dictionary_start + gap, params->dist.max_distance, &sr); + if (sr.score > kMinScore) { + /* Found a match. Let's look for something even better ahead. */ + int delayed_backward_references_in_row = 0; + --max_length; + for (;; --max_length) { + const score_t cost_diff_lazy = 175; + HasherSearchResult sr2; + sr2.len = params->quality < MIN_QUALITY_FOR_EXTENSIVE_REFERENCE_SEARCH ? + BROTLI_MIN(size_t, sr.len - 1, max_length) : 0; + sr2.len_code_delta = 0; + sr2.distance = 0; + sr2.score = kMinScore; + max_distance = BROTLI_MIN(size_t, position + 1, max_backward_limit); + dictionary_start = BROTLI_MIN(size_t, + position + 1 + position_offset, max_backward_limit); + FN(FindLongestMatch)(privat, + ¶ms->dictionary, + ringbuffer, ringbuffer_mask, dist_cache, position + 1, max_length, + max_distance, dictionary_start + gap, params->dist.max_distance, + &sr2); + if (sr2.score >= sr.score + cost_diff_lazy) { + /* Ok, let's just write one byte for now and start a match from the + next byte. */ + ++position; + ++insert_length; + sr = sr2; + if (++delayed_backward_references_in_row < 4 && + position + FN(HashTypeLength)() < pos_end) { + continue; + } + } + break; + } + apply_random_heuristics = + position + 2 * sr.len + random_heuristics_window_size; + dictionary_start = BROTLI_MIN(size_t, + position + position_offset, max_backward_limit); + { + /* The first 16 codes are special short-codes, + and the minimum offset is 1. */ + size_t distance_code = ComputeDistanceCode( + sr.distance, dictionary_start + gap, dist_cache); + if ((sr.distance <= (dictionary_start + gap)) && distance_code > 0) { + dist_cache[3] = dist_cache[2]; + dist_cache[2] = dist_cache[1]; + dist_cache[1] = dist_cache[0]; + dist_cache[0] = (int)sr.distance; + FN(PrepareDistanceCache)(privat, dist_cache); + } + InitCommand(commands++, ¶ms->dist, insert_length, + sr.len, sr.len_code_delta, distance_code); + } + *num_literals += insert_length; + insert_length = 0; + /* Put the hash keys into the table, if there are enough bytes left. + Depending on the hasher implementation, it can push all positions + in the given range or only a subset of them. + Avoid hash poisoning with RLE data. */ + { + size_t range_start = position + 2; + size_t range_end = BROTLI_MIN(size_t, position + sr.len, store_end); + if (sr.distance < (sr.len >> 2)) { + range_start = BROTLI_MIN(size_t, range_end, BROTLI_MAX(size_t, + range_start, position + sr.len - (sr.distance << 2))); + } + FN(StoreRange)(privat, ringbuffer, ringbuffer_mask, range_start, + range_end); + } + position += sr.len; + } else { + ++insert_length; + ++position; + /* If we have not seen matches for a long time, we can skip some + match lookups. Unsuccessful match lookups are very very expensive + and this kind of a heuristic speeds up compression quite + a lot. */ + if (position > apply_random_heuristics) { + /* Going through uncompressible data, jump. */ + if (position > + apply_random_heuristics + 4 * random_heuristics_window_size) { + /* It is quite a long time since we saw a copy, so we assume + that this data is not compressible, and store hashes less + often. Hashes of non compressible data are less likely to + turn out to be useful in the future, too, so we store less of + them to not to flood out the hash table of good compressible + data. */ + const size_t kMargin = + BROTLI_MAX(size_t, FN(StoreLookahead)() - 1, 4); + size_t pos_jump = + BROTLI_MIN(size_t, position + 16, pos_end - kMargin); + for (; position < pos_jump; position += 4) { + FN(Store)(privat, ringbuffer, ringbuffer_mask, position); + insert_length += 4; + } + } else { + const size_t kMargin = + BROTLI_MAX(size_t, FN(StoreLookahead)() - 1, 2); + size_t pos_jump = + BROTLI_MIN(size_t, position + 8, pos_end - kMargin); + for (; position < pos_jump; position += 2) { + FN(Store)(privat, ringbuffer, ringbuffer_mask, position); + insert_length += 2; + } + } + } + } + } + insert_length += pos_end - position; + *last_insert_len = insert_length; + *num_commands += (size_t)(commands - orig_commands); +} diff --git a/modules/brotli/enc/bit_cost.c b/modules/brotli/enc/bit_cost.c new file mode 100644 index 0000000000..1f3f7ad5c9 --- /dev/null +++ b/modules/brotli/enc/bit_cost.c @@ -0,0 +1,35 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Functions to estimate the bit cost of Huffman trees. */ + +#include "./bit_cost.h" + +#include "../common/constants.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./fast_log.h" +#include "./histogram.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +#define FN(X) X ## Literal +#include "./bit_cost_inc.h" /* NOLINT(build/include) */ +#undef FN + +#define FN(X) X ## Command +#include "./bit_cost_inc.h" /* NOLINT(build/include) */ +#undef FN + +#define FN(X) X ## Distance +#include "./bit_cost_inc.h" /* NOLINT(build/include) */ +#undef FN + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/bit_cost.h b/modules/brotli/enc/bit_cost.h new file mode 100644 index 0000000000..6586469e62 --- /dev/null +++ b/modules/brotli/enc/bit_cost.h @@ -0,0 +1,63 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Functions to estimate the bit cost of Huffman trees. */ + +#ifndef BROTLI_ENC_BIT_COST_H_ +#define BROTLI_ENC_BIT_COST_H_ + +#include "../common/platform.h" +#include <brotli/types.h> +#include "./fast_log.h" +#include "./histogram.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +static BROTLI_INLINE double ShannonEntropy( + const uint32_t* population, size_t size, size_t* total) { + size_t sum = 0; + double retval = 0; + const uint32_t* population_end = population + size; + size_t p; + if (size & 1) { + goto odd_number_of_elements_left; + } + while (population < population_end) { + p = *population++; + sum += p; + retval -= (double)p * FastLog2(p); + odd_number_of_elements_left: + p = *population++; + sum += p; + retval -= (double)p * FastLog2(p); + } + if (sum) retval += (double)sum * FastLog2(sum); + *total = sum; + return retval; +} + +static BROTLI_INLINE double BitsEntropy( + const uint32_t* population, size_t size) { + size_t sum; + double retval = ShannonEntropy(population, size, &sum); + if (retval < sum) { + /* At least one bit per literal is needed. */ + retval = (double)sum; + } + return retval; +} + +BROTLI_INTERNAL double BrotliPopulationCostLiteral(const HistogramLiteral*); +BROTLI_INTERNAL double BrotliPopulationCostCommand(const HistogramCommand*); +BROTLI_INTERNAL double BrotliPopulationCostDistance(const HistogramDistance*); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_BIT_COST_H_ */ diff --git a/modules/brotli/enc/bit_cost_inc.h b/modules/brotli/enc/bit_cost_inc.h new file mode 100644 index 0000000000..453c226042 --- /dev/null +++ b/modules/brotli/enc/bit_cost_inc.h @@ -0,0 +1,127 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: FN */ + +#define HistogramType FN(Histogram) + +double FN(BrotliPopulationCost)(const HistogramType* histogram) { + static const double kOneSymbolHistogramCost = 12; + static const double kTwoSymbolHistogramCost = 20; + static const double kThreeSymbolHistogramCost = 28; + static const double kFourSymbolHistogramCost = 37; + const size_t data_size = FN(HistogramDataSize)(); + int count = 0; + size_t s[5]; + double bits = 0.0; + size_t i; + if (histogram->total_count_ == 0) { + return kOneSymbolHistogramCost; + } + for (i = 0; i < data_size; ++i) { + if (histogram->data_[i] > 0) { + s[count] = i; + ++count; + if (count > 4) break; + } + } + if (count == 1) { + return kOneSymbolHistogramCost; + } + if (count == 2) { + return (kTwoSymbolHistogramCost + (double)histogram->total_count_); + } + if (count == 3) { + const uint32_t histo0 = histogram->data_[s[0]]; + const uint32_t histo1 = histogram->data_[s[1]]; + const uint32_t histo2 = histogram->data_[s[2]]; + const uint32_t histomax = + BROTLI_MAX(uint32_t, histo0, BROTLI_MAX(uint32_t, histo1, histo2)); + return (kThreeSymbolHistogramCost + + 2 * (histo0 + histo1 + histo2) - histomax); + } + if (count == 4) { + uint32_t histo[4]; + uint32_t h23; + uint32_t histomax; + for (i = 0; i < 4; ++i) { + histo[i] = histogram->data_[s[i]]; + } + /* Sort */ + for (i = 0; i < 4; ++i) { + size_t j; + for (j = i + 1; j < 4; ++j) { + if (histo[j] > histo[i]) { + BROTLI_SWAP(uint32_t, histo, j, i); + } + } + } + h23 = histo[2] + histo[3]; + histomax = BROTLI_MAX(uint32_t, h23, histo[0]); + return (kFourSymbolHistogramCost + + 3 * h23 + 2 * (histo[0] + histo[1]) - histomax); + } + + { + /* In this loop we compute the entropy of the histogram and simultaneously + build a simplified histogram of the code length codes where we use the + zero repeat code 17, but we don't use the non-zero repeat code 16. */ + size_t max_depth = 1; + uint32_t depth_histo[BROTLI_CODE_LENGTH_CODES] = { 0 }; + const double log2total = FastLog2(histogram->total_count_); + for (i = 0; i < data_size;) { + if (histogram->data_[i] > 0) { + /* Compute -log2(P(symbol)) = -log2(count(symbol)/total_count) = + = log2(total_count) - log2(count(symbol)) */ + double log2p = log2total - FastLog2(histogram->data_[i]); + /* Approximate the bit depth by round(-log2(P(symbol))) */ + size_t depth = (size_t)(log2p + 0.5); + bits += histogram->data_[i] * log2p; + if (depth > 15) { + depth = 15; + } + if (depth > max_depth) { + max_depth = depth; + } + ++depth_histo[depth]; + ++i; + } else { + /* Compute the run length of zeros and add the appropriate number of 0 + and 17 code length codes to the code length code histogram. */ + uint32_t reps = 1; + size_t k; + for (k = i + 1; k < data_size && histogram->data_[k] == 0; ++k) { + ++reps; + } + i += reps; + if (i == data_size) { + /* Don't add any cost for the last zero run, since these are encoded + only implicitly. */ + break; + } + if (reps < 3) { + depth_histo[0] += reps; + } else { + reps -= 2; + while (reps > 0) { + ++depth_histo[BROTLI_REPEAT_ZERO_CODE_LENGTH]; + /* Add the 3 extra bits for the 17 code length code. */ + bits += 3; + reps >>= 3; + } + } + } + } + /* Add the estimated encoding cost of the code length code histogram. */ + bits += (double)(18 + 2 * max_depth); + /* Add the entropy of the code length code histogram. */ + bits += BitsEntropy(depth_histo, BROTLI_CODE_LENGTH_CODES); + } + return bits; +} + +#undef HistogramType diff --git a/modules/brotli/enc/block_encoder_inc.h b/modules/brotli/enc/block_encoder_inc.h new file mode 100644 index 0000000000..8cbd5eac67 --- /dev/null +++ b/modules/brotli/enc/block_encoder_inc.h @@ -0,0 +1,34 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2014 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: FN */ + +#define HistogramType FN(Histogram) + +/* Creates entropy codes for all block types and stores them to the bit + stream. */ +static void FN(BuildAndStoreEntropyCodes)(MemoryManager* m, BlockEncoder* self, + const HistogramType* histograms, const size_t histograms_size, + const size_t alphabet_size, HuffmanTree* tree, + size_t* storage_ix, uint8_t* storage) { + const size_t table_size = histograms_size * self->histogram_length_; + self->depths_ = BROTLI_ALLOC(m, uint8_t, table_size); + self->bits_ = BROTLI_ALLOC(m, uint16_t, table_size); + if (BROTLI_IS_OOM(m)) return; + + { + size_t i; + for (i = 0; i < histograms_size; ++i) { + size_t ix = i * self->histogram_length_; + BuildAndStoreHuffmanTree(&histograms[i].data_[0], self->histogram_length_, + alphabet_size, tree, &self->depths_[ix], &self->bits_[ix], + storage_ix, storage); + } + } +} + +#undef HistogramType diff --git a/modules/brotli/enc/block_splitter.c b/modules/brotli/enc/block_splitter.c new file mode 100644 index 0000000000..deb7c2e151 --- /dev/null +++ b/modules/brotli/enc/block_splitter.c @@ -0,0 +1,194 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Block split point selection utilities. */ + +#include "./block_splitter.h" + +#include <string.h> /* memcpy, memset */ + +#include "../common/platform.h" +#include "./bit_cost.h" +#include "./cluster.h" +#include "./command.h" +#include "./fast_log.h" +#include "./histogram.h" +#include "./memory.h" +#include "./quality.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +static const size_t kMaxLiteralHistograms = 100; +static const size_t kMaxCommandHistograms = 50; +static const double kLiteralBlockSwitchCost = 28.1; +static const double kCommandBlockSwitchCost = 13.5; +static const double kDistanceBlockSwitchCost = 14.6; +static const size_t kLiteralStrideLength = 70; +static const size_t kCommandStrideLength = 40; +static const size_t kSymbolsPerLiteralHistogram = 544; +static const size_t kSymbolsPerCommandHistogram = 530; +static const size_t kSymbolsPerDistanceHistogram = 544; +static const size_t kMinLengthForBlockSplitting = 128; +static const size_t kIterMulForRefining = 2; +static const size_t kMinItersForRefining = 100; + +static size_t CountLiterals(const Command* cmds, const size_t num_commands) { + /* Count how many we have. */ + size_t total_length = 0; + size_t i; + for (i = 0; i < num_commands; ++i) { + total_length += cmds[i].insert_len_; + } + return total_length; +} + +static void CopyLiteralsToByteArray(const Command* cmds, + const size_t num_commands, + const uint8_t* data, + const size_t offset, + const size_t mask, + uint8_t* literals) { + size_t pos = 0; + size_t from_pos = offset & mask; + size_t i; + for (i = 0; i < num_commands; ++i) { + size_t insert_len = cmds[i].insert_len_; + if (from_pos + insert_len > mask) { + size_t head_size = mask + 1 - from_pos; + memcpy(literals + pos, data + from_pos, head_size); + from_pos = 0; + pos += head_size; + insert_len -= head_size; + } + if (insert_len > 0) { + memcpy(literals + pos, data + from_pos, insert_len); + pos += insert_len; + } + from_pos = (from_pos + insert_len + CommandCopyLen(&cmds[i])) & mask; + } +} + +static BROTLI_INLINE uint32_t MyRand(uint32_t* seed) { + /* Initial seed should be 7. In this case, loop length is (1 << 29). */ + *seed *= 16807U; + return *seed; +} + +static BROTLI_INLINE double BitCost(size_t count) { + return count == 0 ? -2.0 : FastLog2(count); +} + +#define HISTOGRAMS_PER_BATCH 64 +#define CLUSTERS_PER_BATCH 16 + +#define FN(X) X ## Literal +#define DataType uint8_t +/* NOLINTNEXTLINE(build/include) */ +#include "./block_splitter_inc.h" +#undef DataType +#undef FN + +#define FN(X) X ## Command +#define DataType uint16_t +/* NOLINTNEXTLINE(build/include) */ +#include "./block_splitter_inc.h" +#undef FN + +#define FN(X) X ## Distance +/* NOLINTNEXTLINE(build/include) */ +#include "./block_splitter_inc.h" +#undef DataType +#undef FN + +void BrotliInitBlockSplit(BlockSplit* self) { + self->num_types = 0; + self->num_blocks = 0; + self->types = 0; + self->lengths = 0; + self->types_alloc_size = 0; + self->lengths_alloc_size = 0; +} + +void BrotliDestroyBlockSplit(MemoryManager* m, BlockSplit* self) { + BROTLI_FREE(m, self->types); + BROTLI_FREE(m, self->lengths); +} + +void BrotliSplitBlock(MemoryManager* m, + const Command* cmds, + const size_t num_commands, + const uint8_t* data, + const size_t pos, + const size_t mask, + const BrotliEncoderParams* params, + BlockSplit* literal_split, + BlockSplit* insert_and_copy_split, + BlockSplit* dist_split) { + { + size_t literals_count = CountLiterals(cmds, num_commands); + uint8_t* literals = BROTLI_ALLOC(m, uint8_t, literals_count); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(literals)) return; + /* Create a continuous array of literals. */ + CopyLiteralsToByteArray(cmds, num_commands, data, pos, mask, literals); + /* Create the block split on the array of literals. + Literal histograms have alphabet size 256. */ + SplitByteVectorLiteral( + m, literals, literals_count, + kSymbolsPerLiteralHistogram, kMaxLiteralHistograms, + kLiteralStrideLength, kLiteralBlockSwitchCost, params, + literal_split); + if (BROTLI_IS_OOM(m)) return; + BROTLI_FREE(m, literals); + } + + { + /* Compute prefix codes for commands. */ + uint16_t* insert_and_copy_codes = BROTLI_ALLOC(m, uint16_t, num_commands); + size_t i; + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(insert_and_copy_codes)) return; + for (i = 0; i < num_commands; ++i) { + insert_and_copy_codes[i] = cmds[i].cmd_prefix_; + } + /* Create the block split on the array of command prefixes. */ + SplitByteVectorCommand( + m, insert_and_copy_codes, num_commands, + kSymbolsPerCommandHistogram, kMaxCommandHistograms, + kCommandStrideLength, kCommandBlockSwitchCost, params, + insert_and_copy_split); + if (BROTLI_IS_OOM(m)) return; + /* TODO: reuse for distances? */ + BROTLI_FREE(m, insert_and_copy_codes); + } + + { + /* Create a continuous array of distance prefixes. */ + uint16_t* distance_prefixes = BROTLI_ALLOC(m, uint16_t, num_commands); + size_t j = 0; + size_t i; + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(distance_prefixes)) return; + for (i = 0; i < num_commands; ++i) { + const Command* cmd = &cmds[i]; + if (CommandCopyLen(cmd) && cmd->cmd_prefix_ >= 128) { + distance_prefixes[j++] = cmd->dist_prefix_ & 0x3FF; + } + } + /* Create the block split on the array of distance prefixes. */ + SplitByteVectorDistance( + m, distance_prefixes, j, + kSymbolsPerDistanceHistogram, kMaxCommandHistograms, + kCommandStrideLength, kDistanceBlockSwitchCost, params, + dist_split); + if (BROTLI_IS_OOM(m)) return; + BROTLI_FREE(m, distance_prefixes); + } +} + + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/block_splitter.h b/modules/brotli/enc/block_splitter.h new file mode 100644 index 0000000000..a5e006c4b3 --- /dev/null +++ b/modules/brotli/enc/block_splitter.h @@ -0,0 +1,51 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Block split point selection utilities. */ + +#ifndef BROTLI_ENC_BLOCK_SPLITTER_H_ +#define BROTLI_ENC_BLOCK_SPLITTER_H_ + +#include "../common/platform.h" +#include <brotli/types.h> +#include "./command.h" +#include "./memory.h" +#include "./quality.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +typedef struct BlockSplit { + size_t num_types; /* Amount of distinct types */ + size_t num_blocks; /* Amount of values in types and length */ + uint8_t* types; + uint32_t* lengths; + + size_t types_alloc_size; + size_t lengths_alloc_size; +} BlockSplit; + +BROTLI_INTERNAL void BrotliInitBlockSplit(BlockSplit* self); +BROTLI_INTERNAL void BrotliDestroyBlockSplit(MemoryManager* m, + BlockSplit* self); + +BROTLI_INTERNAL void BrotliSplitBlock(MemoryManager* m, + const Command* cmds, + const size_t num_commands, + const uint8_t* data, + const size_t offset, + const size_t mask, + const BrotliEncoderParams* params, + BlockSplit* literal_split, + BlockSplit* insert_and_copy_split, + BlockSplit* dist_split); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_BLOCK_SPLITTER_H_ */ diff --git a/modules/brotli/enc/block_splitter_inc.h b/modules/brotli/enc/block_splitter_inc.h new file mode 100644 index 0000000000..e612d6a370 --- /dev/null +++ b/modules/brotli/enc/block_splitter_inc.h @@ -0,0 +1,440 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: FN, DataType */ + +#define HistogramType FN(Histogram) + +static void FN(InitialEntropyCodes)(const DataType* data, size_t length, + size_t stride, + size_t num_histograms, + HistogramType* histograms) { + uint32_t seed = 7; + size_t block_length = length / num_histograms; + size_t i; + FN(ClearHistograms)(histograms, num_histograms); + for (i = 0; i < num_histograms; ++i) { + size_t pos = length * i / num_histograms; + if (i != 0) { + pos += MyRand(&seed) % block_length; + } + if (pos + stride >= length) { + pos = length - stride - 1; + } + FN(HistogramAddVector)(&histograms[i], data + pos, stride); + } +} + +static void FN(RandomSample)(uint32_t* seed, + const DataType* data, + size_t length, + size_t stride, + HistogramType* sample) { + size_t pos = 0; + if (stride >= length) { + stride = length; + } else { + pos = MyRand(seed) % (length - stride + 1); + } + FN(HistogramAddVector)(sample, data + pos, stride); +} + +static void FN(RefineEntropyCodes)(const DataType* data, size_t length, + size_t stride, + size_t num_histograms, + HistogramType* histograms) { + size_t iters = + kIterMulForRefining * length / stride + kMinItersForRefining; + uint32_t seed = 7; + size_t iter; + iters = ((iters + num_histograms - 1) / num_histograms) * num_histograms; + for (iter = 0; iter < iters; ++iter) { + HistogramType sample; + FN(HistogramClear)(&sample); + FN(RandomSample)(&seed, data, length, stride, &sample); + FN(HistogramAddHistogram)(&histograms[iter % num_histograms], &sample); + } +} + +/* Assigns a block id from the range [0, num_histograms) to each data element + in data[0..length) and fills in block_id[0..length) with the assigned values. + Returns the number of blocks, i.e. one plus the number of block switches. */ +static size_t FN(FindBlocks)(const DataType* data, const size_t length, + const double block_switch_bitcost, + const size_t num_histograms, + const HistogramType* histograms, + double* insert_cost, + double* cost, + uint8_t* switch_signal, + uint8_t* block_id) { + const size_t data_size = FN(HistogramDataSize)(); + const size_t bitmaplen = (num_histograms + 7) >> 3; + size_t num_blocks = 1; + size_t i; + size_t j; + BROTLI_DCHECK(num_histograms <= 256); + if (num_histograms <= 1) { + for (i = 0; i < length; ++i) { + block_id[i] = 0; + } + return 1; + } + memset(insert_cost, 0, sizeof(insert_cost[0]) * data_size * num_histograms); + for (i = 0; i < num_histograms; ++i) { + insert_cost[i] = FastLog2((uint32_t)histograms[i].total_count_); + } + for (i = data_size; i != 0;) { + --i; + for (j = 0; j < num_histograms; ++j) { + insert_cost[i * num_histograms + j] = + insert_cost[j] - BitCost(histograms[j].data_[i]); + } + } + memset(cost, 0, sizeof(cost[0]) * num_histograms); + memset(switch_signal, 0, sizeof(switch_signal[0]) * length * bitmaplen); + /* After each iteration of this loop, cost[k] will contain the difference + between the minimum cost of arriving at the current byte position using + entropy code k, and the minimum cost of arriving at the current byte + position. This difference is capped at the block switch cost, and if it + reaches block switch cost, it means that when we trace back from the last + position, we need to switch here. */ + for (i = 0; i < length; ++i) { + const size_t byte_ix = i; + size_t ix = byte_ix * bitmaplen; + size_t insert_cost_ix = data[byte_ix] * num_histograms; + double min_cost = 1e99; + double block_switch_cost = block_switch_bitcost; + size_t k; + for (k = 0; k < num_histograms; ++k) { + /* We are coding the symbol in data[byte_ix] with entropy code k. */ + cost[k] += insert_cost[insert_cost_ix + k]; + if (cost[k] < min_cost) { + min_cost = cost[k]; + block_id[byte_ix] = (uint8_t)k; + } + } + /* More blocks for the beginning. */ + if (byte_ix < 2000) { + block_switch_cost *= 0.77 + 0.07 * (double)byte_ix / 2000; + } + for (k = 0; k < num_histograms; ++k) { + cost[k] -= min_cost; + if (cost[k] >= block_switch_cost) { + const uint8_t mask = (uint8_t)(1u << (k & 7)); + cost[k] = block_switch_cost; + BROTLI_DCHECK((k >> 3) < bitmaplen); + switch_signal[ix + (k >> 3)] |= mask; + } + } + } + { /* Trace back from the last position and switch at the marked places. */ + size_t byte_ix = length - 1; + size_t ix = byte_ix * bitmaplen; + uint8_t cur_id = block_id[byte_ix]; + while (byte_ix > 0) { + const uint8_t mask = (uint8_t)(1u << (cur_id & 7)); + BROTLI_DCHECK(((size_t)cur_id >> 3) < bitmaplen); + --byte_ix; + ix -= bitmaplen; + if (switch_signal[ix + (cur_id >> 3)] & mask) { + if (cur_id != block_id[byte_ix]) { + cur_id = block_id[byte_ix]; + ++num_blocks; + } + } + block_id[byte_ix] = cur_id; + } + } + return num_blocks; +} + +static size_t FN(RemapBlockIds)(uint8_t* block_ids, const size_t length, + uint16_t* new_id, const size_t num_histograms) { + static const uint16_t kInvalidId = 256; + uint16_t next_id = 0; + size_t i; + for (i = 0; i < num_histograms; ++i) { + new_id[i] = kInvalidId; + } + for (i = 0; i < length; ++i) { + BROTLI_DCHECK(block_ids[i] < num_histograms); + if (new_id[block_ids[i]] == kInvalidId) { + new_id[block_ids[i]] = next_id++; + } + } + for (i = 0; i < length; ++i) { + block_ids[i] = (uint8_t)new_id[block_ids[i]]; + BROTLI_DCHECK(block_ids[i] < num_histograms); + } + BROTLI_DCHECK(next_id <= num_histograms); + return next_id; +} + +static void FN(BuildBlockHistograms)(const DataType* data, const size_t length, + const uint8_t* block_ids, + const size_t num_histograms, + HistogramType* histograms) { + size_t i; + FN(ClearHistograms)(histograms, num_histograms); + for (i = 0; i < length; ++i) { + FN(HistogramAdd)(&histograms[block_ids[i]], data[i]); + } +} + +static void FN(ClusterBlocks)(MemoryManager* m, + const DataType* data, const size_t length, + const size_t num_blocks, + uint8_t* block_ids, + BlockSplit* split) { + uint32_t* histogram_symbols = BROTLI_ALLOC(m, uint32_t, num_blocks); + uint32_t* block_lengths = BROTLI_ALLOC(m, uint32_t, num_blocks); + const size_t expected_num_clusters = CLUSTERS_PER_BATCH * + (num_blocks + HISTOGRAMS_PER_BATCH - 1) / HISTOGRAMS_PER_BATCH; + size_t all_histograms_size = 0; + size_t all_histograms_capacity = expected_num_clusters; + HistogramType* all_histograms = + BROTLI_ALLOC(m, HistogramType, all_histograms_capacity); + size_t cluster_size_size = 0; + size_t cluster_size_capacity = expected_num_clusters; + uint32_t* cluster_size = BROTLI_ALLOC(m, uint32_t, cluster_size_capacity); + size_t num_clusters = 0; + HistogramType* histograms = BROTLI_ALLOC(m, HistogramType, + BROTLI_MIN(size_t, num_blocks, HISTOGRAMS_PER_BATCH)); + size_t max_num_pairs = + HISTOGRAMS_PER_BATCH * HISTOGRAMS_PER_BATCH / 2; + size_t pairs_capacity = max_num_pairs + 1; + HistogramPair* pairs = BROTLI_ALLOC(m, HistogramPair, pairs_capacity); + size_t pos = 0; + uint32_t* clusters; + size_t num_final_clusters; + static const uint32_t kInvalidIndex = BROTLI_UINT32_MAX; + uint32_t* new_index; + size_t i; + uint32_t sizes[HISTOGRAMS_PER_BATCH] = { 0 }; + uint32_t new_clusters[HISTOGRAMS_PER_BATCH] = { 0 }; + uint32_t symbols[HISTOGRAMS_PER_BATCH] = { 0 }; + uint32_t remap[HISTOGRAMS_PER_BATCH] = { 0 }; + + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(histogram_symbols) || + BROTLI_IS_NULL(block_lengths) || BROTLI_IS_NULL(all_histograms) || + BROTLI_IS_NULL(cluster_size) || BROTLI_IS_NULL(histograms) || + BROTLI_IS_NULL(pairs)) { + return; + } + + memset(block_lengths, 0, num_blocks * sizeof(uint32_t)); + + { + size_t block_idx = 0; + for (i = 0; i < length; ++i) { + BROTLI_DCHECK(block_idx < num_blocks); + ++block_lengths[block_idx]; + if (i + 1 == length || block_ids[i] != block_ids[i + 1]) { + ++block_idx; + } + } + BROTLI_DCHECK(block_idx == num_blocks); + } + + for (i = 0; i < num_blocks; i += HISTOGRAMS_PER_BATCH) { + const size_t num_to_combine = + BROTLI_MIN(size_t, num_blocks - i, HISTOGRAMS_PER_BATCH); + size_t num_new_clusters; + size_t j; + for (j = 0; j < num_to_combine; ++j) { + size_t k; + FN(HistogramClear)(&histograms[j]); + for (k = 0; k < block_lengths[i + j]; ++k) { + FN(HistogramAdd)(&histograms[j], data[pos++]); + } + histograms[j].bit_cost_ = FN(BrotliPopulationCost)(&histograms[j]); + new_clusters[j] = (uint32_t)j; + symbols[j] = (uint32_t)j; + sizes[j] = 1; + } + num_new_clusters = FN(BrotliHistogramCombine)( + histograms, sizes, symbols, new_clusters, pairs, num_to_combine, + num_to_combine, HISTOGRAMS_PER_BATCH, max_num_pairs); + BROTLI_ENSURE_CAPACITY(m, HistogramType, all_histograms, + all_histograms_capacity, all_histograms_size + num_new_clusters); + BROTLI_ENSURE_CAPACITY(m, uint32_t, cluster_size, + cluster_size_capacity, cluster_size_size + num_new_clusters); + if (BROTLI_IS_OOM(m)) return; + for (j = 0; j < num_new_clusters; ++j) { + all_histograms[all_histograms_size++] = histograms[new_clusters[j]]; + cluster_size[cluster_size_size++] = sizes[new_clusters[j]]; + remap[new_clusters[j]] = (uint32_t)j; + } + for (j = 0; j < num_to_combine; ++j) { + histogram_symbols[i + j] = (uint32_t)num_clusters + remap[symbols[j]]; + } + num_clusters += num_new_clusters; + BROTLI_DCHECK(num_clusters == cluster_size_size); + BROTLI_DCHECK(num_clusters == all_histograms_size); + } + BROTLI_FREE(m, histograms); + + max_num_pairs = + BROTLI_MIN(size_t, 64 * num_clusters, (num_clusters / 2) * num_clusters); + if (pairs_capacity < max_num_pairs + 1) { + BROTLI_FREE(m, pairs); + pairs = BROTLI_ALLOC(m, HistogramPair, max_num_pairs + 1); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(pairs)) return; + } + + clusters = BROTLI_ALLOC(m, uint32_t, num_clusters); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(clusters)) return; + for (i = 0; i < num_clusters; ++i) { + clusters[i] = (uint32_t)i; + } + num_final_clusters = FN(BrotliHistogramCombine)( + all_histograms, cluster_size, histogram_symbols, clusters, pairs, + num_clusters, num_blocks, BROTLI_MAX_NUMBER_OF_BLOCK_TYPES, + max_num_pairs); + BROTLI_FREE(m, pairs); + BROTLI_FREE(m, cluster_size); + + new_index = BROTLI_ALLOC(m, uint32_t, num_clusters); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(new_index)) return; + for (i = 0; i < num_clusters; ++i) new_index[i] = kInvalidIndex; + pos = 0; + { + uint32_t next_index = 0; + for (i = 0; i < num_blocks; ++i) { + HistogramType histo; + size_t j; + uint32_t best_out; + double best_bits; + FN(HistogramClear)(&histo); + for (j = 0; j < block_lengths[i]; ++j) { + FN(HistogramAdd)(&histo, data[pos++]); + } + best_out = (i == 0) ? histogram_symbols[0] : histogram_symbols[i - 1]; + best_bits = + FN(BrotliHistogramBitCostDistance)(&histo, &all_histograms[best_out]); + for (j = 0; j < num_final_clusters; ++j) { + const double cur_bits = FN(BrotliHistogramBitCostDistance)( + &histo, &all_histograms[clusters[j]]); + if (cur_bits < best_bits) { + best_bits = cur_bits; + best_out = clusters[j]; + } + } + histogram_symbols[i] = best_out; + if (new_index[best_out] == kInvalidIndex) { + new_index[best_out] = next_index++; + } + } + } + BROTLI_FREE(m, clusters); + BROTLI_FREE(m, all_histograms); + BROTLI_ENSURE_CAPACITY( + m, uint8_t, split->types, split->types_alloc_size, num_blocks); + BROTLI_ENSURE_CAPACITY( + m, uint32_t, split->lengths, split->lengths_alloc_size, num_blocks); + if (BROTLI_IS_OOM(m)) return; + { + uint32_t cur_length = 0; + size_t block_idx = 0; + uint8_t max_type = 0; + for (i = 0; i < num_blocks; ++i) { + cur_length += block_lengths[i]; + if (i + 1 == num_blocks || + histogram_symbols[i] != histogram_symbols[i + 1]) { + const uint8_t id = (uint8_t)new_index[histogram_symbols[i]]; + split->types[block_idx] = id; + split->lengths[block_idx] = cur_length; + max_type = BROTLI_MAX(uint8_t, max_type, id); + cur_length = 0; + ++block_idx; + } + } + split->num_blocks = block_idx; + split->num_types = (size_t)max_type + 1; + } + BROTLI_FREE(m, new_index); + BROTLI_FREE(m, block_lengths); + BROTLI_FREE(m, histogram_symbols); +} + +static void FN(SplitByteVector)(MemoryManager* m, + const DataType* data, const size_t length, + const size_t literals_per_histogram, + const size_t max_histograms, + const size_t sampling_stride_length, + const double block_switch_cost, + const BrotliEncoderParams* params, + BlockSplit* split) { + const size_t data_size = FN(HistogramDataSize)(); + size_t num_histograms = length / literals_per_histogram + 1; + HistogramType* histograms; + if (num_histograms > max_histograms) { + num_histograms = max_histograms; + } + if (length == 0) { + split->num_types = 1; + return; + } else if (length < kMinLengthForBlockSplitting) { + BROTLI_ENSURE_CAPACITY(m, uint8_t, + split->types, split->types_alloc_size, split->num_blocks + 1); + BROTLI_ENSURE_CAPACITY(m, uint32_t, + split->lengths, split->lengths_alloc_size, split->num_blocks + 1); + if (BROTLI_IS_OOM(m)) return; + split->num_types = 1; + split->types[split->num_blocks] = 0; + split->lengths[split->num_blocks] = (uint32_t)length; + split->num_blocks++; + return; + } + histograms = BROTLI_ALLOC(m, HistogramType, num_histograms); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(histograms)) return; + /* Find good entropy codes. */ + FN(InitialEntropyCodes)(data, length, + sampling_stride_length, + num_histograms, histograms); + FN(RefineEntropyCodes)(data, length, + sampling_stride_length, + num_histograms, histograms); + { + /* Find a good path through literals with the good entropy codes. */ + uint8_t* block_ids = BROTLI_ALLOC(m, uint8_t, length); + size_t num_blocks = 0; + const size_t bitmaplen = (num_histograms + 7) >> 3; + double* insert_cost = BROTLI_ALLOC(m, double, data_size * num_histograms); + double* cost = BROTLI_ALLOC(m, double, num_histograms); + uint8_t* switch_signal = BROTLI_ALLOC(m, uint8_t, length * bitmaplen); + uint16_t* new_id = BROTLI_ALLOC(m, uint16_t, num_histograms); + const size_t iters = params->quality < HQ_ZOPFLIFICATION_QUALITY ? 3 : 10; + size_t i; + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(block_ids) || + BROTLI_IS_NULL(insert_cost) || BROTLI_IS_NULL(cost) || + BROTLI_IS_NULL(switch_signal) || BROTLI_IS_NULL(new_id)) { + return; + } + for (i = 0; i < iters; ++i) { + num_blocks = FN(FindBlocks)(data, length, + block_switch_cost, + num_histograms, histograms, + insert_cost, cost, switch_signal, + block_ids); + num_histograms = FN(RemapBlockIds)(block_ids, length, + new_id, num_histograms); + FN(BuildBlockHistograms)(data, length, block_ids, + num_histograms, histograms); + } + BROTLI_FREE(m, insert_cost); + BROTLI_FREE(m, cost); + BROTLI_FREE(m, switch_signal); + BROTLI_FREE(m, new_id); + BROTLI_FREE(m, histograms); + FN(ClusterBlocks)(m, data, length, num_blocks, block_ids, split); + if (BROTLI_IS_OOM(m)) return; + BROTLI_FREE(m, block_ids); + } +} + +#undef HistogramType diff --git a/modules/brotli/enc/brotli_bit_stream.c b/modules/brotli/enc/brotli_bit_stream.c new file mode 100644 index 0000000000..9348a97e1b --- /dev/null +++ b/modules/brotli/enc/brotli_bit_stream.c @@ -0,0 +1,1314 @@ +/* Copyright 2014 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Brotli bit stream functions to support the low level format. There are no + compression algorithms here, just the right ordering of bits to match the + specs. */ + +#include "./brotli_bit_stream.h" + +#include <string.h> /* memcpy, memset */ + +#include "../common/constants.h" +#include "../common/context.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./entropy_encode.h" +#include "./entropy_encode_static.h" +#include "./fast_log.h" +#include "./histogram.h" +#include "./memory.h" +#include "./write_bits.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +#define MAX_HUFFMAN_TREE_SIZE (2 * BROTLI_NUM_COMMAND_SYMBOLS + 1) +/* The maximum size of Huffman dictionary for distances assuming that + NPOSTFIX = 0 and NDIRECT = 0. */ +#define MAX_SIMPLE_DISTANCE_ALPHABET_SIZE \ + BROTLI_DISTANCE_ALPHABET_SIZE(0, 0, BROTLI_LARGE_MAX_DISTANCE_BITS) +/* MAX_SIMPLE_DISTANCE_ALPHABET_SIZE == 140 */ + +static BROTLI_INLINE uint32_t BlockLengthPrefixCode(uint32_t len) { + uint32_t code = (len >= 177) ? (len >= 753 ? 20 : 14) : (len >= 41 ? 7 : 0); + while (code < (BROTLI_NUM_BLOCK_LEN_SYMBOLS - 1) && + len >= _kBrotliPrefixCodeRanges[code + 1].offset) ++code; + return code; +} + +static BROTLI_INLINE void GetBlockLengthPrefixCode(uint32_t len, size_t* code, + uint32_t* n_extra, uint32_t* extra) { + *code = BlockLengthPrefixCode(len); + *n_extra = _kBrotliPrefixCodeRanges[*code].nbits; + *extra = len - _kBrotliPrefixCodeRanges[*code].offset; +} + +typedef struct BlockTypeCodeCalculator { + size_t last_type; + size_t second_last_type; +} BlockTypeCodeCalculator; + +static void InitBlockTypeCodeCalculator(BlockTypeCodeCalculator* self) { + self->last_type = 1; + self->second_last_type = 0; +} + +static BROTLI_INLINE size_t NextBlockTypeCode( + BlockTypeCodeCalculator* calculator, uint8_t type) { + size_t type_code = (type == calculator->last_type + 1) ? 1u : + (type == calculator->second_last_type) ? 0u : type + 2u; + calculator->second_last_type = calculator->last_type; + calculator->last_type = type; + return type_code; +} + +/* |nibblesbits| represents the 2 bits to encode MNIBBLES (0-3) + REQUIRES: length > 0 + REQUIRES: length <= (1 << 24) */ +static void BrotliEncodeMlen(size_t length, uint64_t* bits, + size_t* numbits, uint64_t* nibblesbits) { + size_t lg = (length == 1) ? 1 : Log2FloorNonZero((uint32_t)(length - 1)) + 1; + size_t mnibbles = (lg < 16 ? 16 : (lg + 3)) / 4; + BROTLI_DCHECK(length > 0); + BROTLI_DCHECK(length <= (1 << 24)); + BROTLI_DCHECK(lg <= 24); + *nibblesbits = mnibbles - 4; + *numbits = mnibbles * 4; + *bits = length - 1; +} + +static BROTLI_INLINE void StoreCommandExtra( + const Command* cmd, size_t* storage_ix, uint8_t* storage) { + uint32_t copylen_code = CommandCopyLenCode(cmd); + uint16_t inscode = GetInsertLengthCode(cmd->insert_len_); + uint16_t copycode = GetCopyLengthCode(copylen_code); + uint32_t insnumextra = GetInsertExtra(inscode); + uint64_t insextraval = cmd->insert_len_ - GetInsertBase(inscode); + uint64_t copyextraval = copylen_code - GetCopyBase(copycode); + uint64_t bits = (copyextraval << insnumextra) | insextraval; + BrotliWriteBits( + insnumextra + GetCopyExtra(copycode), bits, storage_ix, storage); +} + +/* Data structure that stores almost everything that is needed to encode each + block switch command. */ +typedef struct BlockSplitCode { + BlockTypeCodeCalculator type_code_calculator; + uint8_t type_depths[BROTLI_MAX_BLOCK_TYPE_SYMBOLS]; + uint16_t type_bits[BROTLI_MAX_BLOCK_TYPE_SYMBOLS]; + uint8_t length_depths[BROTLI_NUM_BLOCK_LEN_SYMBOLS]; + uint16_t length_bits[BROTLI_NUM_BLOCK_LEN_SYMBOLS]; +} BlockSplitCode; + +/* Stores a number between 0 and 255. */ +static void StoreVarLenUint8(size_t n, size_t* storage_ix, uint8_t* storage) { + if (n == 0) { + BrotliWriteBits(1, 0, storage_ix, storage); + } else { + size_t nbits = Log2FloorNonZero(n); + BrotliWriteBits(1, 1, storage_ix, storage); + BrotliWriteBits(3, nbits, storage_ix, storage); + BrotliWriteBits(nbits, n - ((size_t)1 << nbits), storage_ix, storage); + } +} + +/* Stores the compressed meta-block header. + REQUIRES: length > 0 + REQUIRES: length <= (1 << 24) */ +static void StoreCompressedMetaBlockHeader(BROTLI_BOOL is_final_block, + size_t length, + size_t* storage_ix, + uint8_t* storage) { + uint64_t lenbits; + size_t nlenbits; + uint64_t nibblesbits; + + /* Write ISLAST bit. */ + BrotliWriteBits(1, (uint64_t)is_final_block, storage_ix, storage); + /* Write ISEMPTY bit. */ + if (is_final_block) { + BrotliWriteBits(1, 0, storage_ix, storage); + } + + BrotliEncodeMlen(length, &lenbits, &nlenbits, &nibblesbits); + BrotliWriteBits(2, nibblesbits, storage_ix, storage); + BrotliWriteBits(nlenbits, lenbits, storage_ix, storage); + + if (!is_final_block) { + /* Write ISUNCOMPRESSED bit. */ + BrotliWriteBits(1, 0, storage_ix, storage); + } +} + +/* Stores the uncompressed meta-block header. + REQUIRES: length > 0 + REQUIRES: length <= (1 << 24) */ +static void BrotliStoreUncompressedMetaBlockHeader(size_t length, + size_t* storage_ix, + uint8_t* storage) { + uint64_t lenbits; + size_t nlenbits; + uint64_t nibblesbits; + + /* Write ISLAST bit. + Uncompressed block cannot be the last one, so set to 0. */ + BrotliWriteBits(1, 0, storage_ix, storage); + BrotliEncodeMlen(length, &lenbits, &nlenbits, &nibblesbits); + BrotliWriteBits(2, nibblesbits, storage_ix, storage); + BrotliWriteBits(nlenbits, lenbits, storage_ix, storage); + /* Write ISUNCOMPRESSED bit. */ + BrotliWriteBits(1, 1, storage_ix, storage); +} + +static void BrotliStoreHuffmanTreeOfHuffmanTreeToBitMask( + const int num_codes, const uint8_t* code_length_bitdepth, + size_t* storage_ix, uint8_t* storage) { + static const uint8_t kStorageOrder[BROTLI_CODE_LENGTH_CODES] = { + 1, 2, 3, 4, 0, 5, 17, 6, 16, 7, 8, 9, 10, 11, 12, 13, 14, 15 + }; + /* The bit lengths of the Huffman code over the code length alphabet + are compressed with the following static Huffman code: + Symbol Code + ------ ---- + 0 00 + 1 1110 + 2 110 + 3 01 + 4 10 + 5 1111 */ + static const uint8_t kHuffmanBitLengthHuffmanCodeSymbols[6] = { + 0, 7, 3, 2, 1, 15 + }; + static const uint8_t kHuffmanBitLengthHuffmanCodeBitLengths[6] = { + 2, 4, 3, 2, 2, 4 + }; + + size_t skip_some = 0; /* skips none. */ + + /* Throw away trailing zeros: */ + size_t codes_to_store = BROTLI_CODE_LENGTH_CODES; + if (num_codes > 1) { + for (; codes_to_store > 0; --codes_to_store) { + if (code_length_bitdepth[kStorageOrder[codes_to_store - 1]] != 0) { + break; + } + } + } + if (code_length_bitdepth[kStorageOrder[0]] == 0 && + code_length_bitdepth[kStorageOrder[1]] == 0) { + skip_some = 2; /* skips two. */ + if (code_length_bitdepth[kStorageOrder[2]] == 0) { + skip_some = 3; /* skips three. */ + } + } + BrotliWriteBits(2, skip_some, storage_ix, storage); + { + size_t i; + for (i = skip_some; i < codes_to_store; ++i) { + size_t l = code_length_bitdepth[kStorageOrder[i]]; + BrotliWriteBits(kHuffmanBitLengthHuffmanCodeBitLengths[l], + kHuffmanBitLengthHuffmanCodeSymbols[l], storage_ix, storage); + } + } +} + +static void BrotliStoreHuffmanTreeToBitMask( + const size_t huffman_tree_size, const uint8_t* huffman_tree, + const uint8_t* huffman_tree_extra_bits, const uint8_t* code_length_bitdepth, + const uint16_t* code_length_bitdepth_symbols, + size_t* BROTLI_RESTRICT storage_ix, uint8_t* BROTLI_RESTRICT storage) { + size_t i; + for (i = 0; i < huffman_tree_size; ++i) { + size_t ix = huffman_tree[i]; + BrotliWriteBits(code_length_bitdepth[ix], code_length_bitdepth_symbols[ix], + storage_ix, storage); + /* Extra bits */ + switch (ix) { + case BROTLI_REPEAT_PREVIOUS_CODE_LENGTH: + BrotliWriteBits(2, huffman_tree_extra_bits[i], storage_ix, storage); + break; + case BROTLI_REPEAT_ZERO_CODE_LENGTH: + BrotliWriteBits(3, huffman_tree_extra_bits[i], storage_ix, storage); + break; + } + } +} + +static void StoreSimpleHuffmanTree(const uint8_t* depths, + size_t symbols[4], + size_t num_symbols, + size_t max_bits, + size_t* storage_ix, uint8_t* storage) { + /* value of 1 indicates a simple Huffman code */ + BrotliWriteBits(2, 1, storage_ix, storage); + BrotliWriteBits(2, num_symbols - 1, storage_ix, storage); /* NSYM - 1 */ + + { + /* Sort */ + size_t i; + for (i = 0; i < num_symbols; i++) { + size_t j; + for (j = i + 1; j < num_symbols; j++) { + if (depths[symbols[j]] < depths[symbols[i]]) { + BROTLI_SWAP(size_t, symbols, j, i); + } + } + } + } + + if (num_symbols == 2) { + BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); + BrotliWriteBits(max_bits, symbols[1], storage_ix, storage); + } else if (num_symbols == 3) { + BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); + BrotliWriteBits(max_bits, symbols[1], storage_ix, storage); + BrotliWriteBits(max_bits, symbols[2], storage_ix, storage); + } else { + BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); + BrotliWriteBits(max_bits, symbols[1], storage_ix, storage); + BrotliWriteBits(max_bits, symbols[2], storage_ix, storage); + BrotliWriteBits(max_bits, symbols[3], storage_ix, storage); + /* tree-select */ + BrotliWriteBits(1, depths[symbols[0]] == 1 ? 1 : 0, storage_ix, storage); + } +} + +/* num = alphabet size + depths = symbol depths */ +void BrotliStoreHuffmanTree(const uint8_t* depths, size_t num, + HuffmanTree* tree, + size_t* storage_ix, uint8_t* storage) { + /* Write the Huffman tree into the brotli-representation. + The command alphabet is the largest, so this allocation will fit all + alphabets. */ + uint8_t huffman_tree[BROTLI_NUM_COMMAND_SYMBOLS]; + uint8_t huffman_tree_extra_bits[BROTLI_NUM_COMMAND_SYMBOLS]; + size_t huffman_tree_size = 0; + uint8_t code_length_bitdepth[BROTLI_CODE_LENGTH_CODES] = { 0 }; + uint16_t code_length_bitdepth_symbols[BROTLI_CODE_LENGTH_CODES]; + uint32_t huffman_tree_histogram[BROTLI_CODE_LENGTH_CODES] = { 0 }; + size_t i; + int num_codes = 0; + size_t code = 0; + + BROTLI_DCHECK(num <= BROTLI_NUM_COMMAND_SYMBOLS); + + BrotliWriteHuffmanTree(depths, num, &huffman_tree_size, huffman_tree, + huffman_tree_extra_bits); + + /* Calculate the statistics of the Huffman tree in brotli-representation. */ + for (i = 0; i < huffman_tree_size; ++i) { + ++huffman_tree_histogram[huffman_tree[i]]; + } + + for (i = 0; i < BROTLI_CODE_LENGTH_CODES; ++i) { + if (huffman_tree_histogram[i]) { + if (num_codes == 0) { + code = i; + num_codes = 1; + } else if (num_codes == 1) { + num_codes = 2; + break; + } + } + } + + /* Calculate another Huffman tree to use for compressing both the + earlier Huffman tree with. */ + BrotliCreateHuffmanTree(huffman_tree_histogram, BROTLI_CODE_LENGTH_CODES, + 5, tree, code_length_bitdepth); + BrotliConvertBitDepthsToSymbols(code_length_bitdepth, + BROTLI_CODE_LENGTH_CODES, + code_length_bitdepth_symbols); + + /* Now, we have all the data, let's start storing it */ + BrotliStoreHuffmanTreeOfHuffmanTreeToBitMask(num_codes, code_length_bitdepth, + storage_ix, storage); + + if (num_codes == 1) { + code_length_bitdepth[code] = 0; + } + + /* Store the real Huffman tree now. */ + BrotliStoreHuffmanTreeToBitMask(huffman_tree_size, + huffman_tree, + huffman_tree_extra_bits, + code_length_bitdepth, + code_length_bitdepth_symbols, + storage_ix, storage); +} + +/* Builds a Huffman tree from histogram[0:length] into depth[0:length] and + bits[0:length] and stores the encoded tree to the bit stream. */ +static void BuildAndStoreHuffmanTree(const uint32_t* histogram, + const size_t histogram_length, + const size_t alphabet_size, + HuffmanTree* tree, + uint8_t* depth, + uint16_t* bits, + size_t* storage_ix, + uint8_t* storage) { + size_t count = 0; + size_t s4[4] = { 0 }; + size_t i; + size_t max_bits = 0; + for (i = 0; i < histogram_length; i++) { + if (histogram[i]) { + if (count < 4) { + s4[count] = i; + } else if (count > 4) { + break; + } + count++; + } + } + + { + size_t max_bits_counter = alphabet_size - 1; + while (max_bits_counter) { + max_bits_counter >>= 1; + ++max_bits; + } + } + + if (count <= 1) { + BrotliWriteBits(4, 1, storage_ix, storage); + BrotliWriteBits(max_bits, s4[0], storage_ix, storage); + depth[s4[0]] = 0; + bits[s4[0]] = 0; + return; + } + + memset(depth, 0, histogram_length * sizeof(depth[0])); + BrotliCreateHuffmanTree(histogram, histogram_length, 15, tree, depth); + BrotliConvertBitDepthsToSymbols(depth, histogram_length, bits); + + if (count <= 4) { + StoreSimpleHuffmanTree(depth, s4, count, max_bits, storage_ix, storage); + } else { + BrotliStoreHuffmanTree(depth, histogram_length, tree, storage_ix, storage); + } +} + +static BROTLI_INLINE BROTLI_BOOL SortHuffmanTree( + const HuffmanTree* v0, const HuffmanTree* v1) { + return TO_BROTLI_BOOL(v0->total_count_ < v1->total_count_); +} + +void BrotliBuildAndStoreHuffmanTreeFast(MemoryManager* m, + const uint32_t* histogram, + const size_t histogram_total, + const size_t max_bits, + uint8_t* depth, uint16_t* bits, + size_t* storage_ix, + uint8_t* storage) { + size_t count = 0; + size_t symbols[4] = { 0 }; + size_t length = 0; + size_t total = histogram_total; + while (total != 0) { + if (histogram[length]) { + if (count < 4) { + symbols[count] = length; + } + ++count; + total -= histogram[length]; + } + ++length; + } + + if (count <= 1) { + BrotliWriteBits(4, 1, storage_ix, storage); + BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); + depth[symbols[0]] = 0; + bits[symbols[0]] = 0; + return; + } + + memset(depth, 0, length * sizeof(depth[0])); + { + const size_t max_tree_size = 2 * length + 1; + HuffmanTree* tree = BROTLI_ALLOC(m, HuffmanTree, max_tree_size); + uint32_t count_limit; + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(tree)) return; + for (count_limit = 1; ; count_limit *= 2) { + HuffmanTree* node = tree; + size_t l; + for (l = length; l != 0;) { + --l; + if (histogram[l]) { + if (BROTLI_PREDICT_TRUE(histogram[l] >= count_limit)) { + InitHuffmanTree(node, histogram[l], -1, (int16_t)l); + } else { + InitHuffmanTree(node, count_limit, -1, (int16_t)l); + } + ++node; + } + } + { + const int n = (int)(node - tree); + HuffmanTree sentinel; + int i = 0; /* Points to the next leaf node. */ + int j = n + 1; /* Points to the next non-leaf node. */ + int k; + + SortHuffmanTreeItems(tree, (size_t)n, SortHuffmanTree); + /* The nodes are: + [0, n): the sorted leaf nodes that we start with. + [n]: we add a sentinel here. + [n + 1, 2n): new parent nodes are added here, starting from + (n+1). These are naturally in ascending order. + [2n]: we add a sentinel at the end as well. + There will be (2n+1) elements at the end. */ + InitHuffmanTree(&sentinel, BROTLI_UINT32_MAX, -1, -1); + *node++ = sentinel; + *node++ = sentinel; + + for (k = n - 1; k > 0; --k) { + int left, right; + if (tree[i].total_count_ <= tree[j].total_count_) { + left = i; + ++i; + } else { + left = j; + ++j; + } + if (tree[i].total_count_ <= tree[j].total_count_) { + right = i; + ++i; + } else { + right = j; + ++j; + } + /* The sentinel node becomes the parent node. */ + node[-1].total_count_ = + tree[left].total_count_ + tree[right].total_count_; + node[-1].index_left_ = (int16_t)left; + node[-1].index_right_or_value_ = (int16_t)right; + /* Add back the last sentinel node. */ + *node++ = sentinel; + } + if (BrotliSetDepth(2 * n - 1, tree, depth, 14)) { + /* We need to pack the Huffman tree in 14 bits. If this was not + successful, add fake entities to the lowest values and retry. */ + break; + } + } + } + BROTLI_FREE(m, tree); + } + BrotliConvertBitDepthsToSymbols(depth, length, bits); + if (count <= 4) { + size_t i; + /* value of 1 indicates a simple Huffman code */ + BrotliWriteBits(2, 1, storage_ix, storage); + BrotliWriteBits(2, count - 1, storage_ix, storage); /* NSYM - 1 */ + + /* Sort */ + for (i = 0; i < count; i++) { + size_t j; + for (j = i + 1; j < count; j++) { + if (depth[symbols[j]] < depth[symbols[i]]) { + BROTLI_SWAP(size_t, symbols, j, i); + } + } + } + + if (count == 2) { + BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); + BrotliWriteBits(max_bits, symbols[1], storage_ix, storage); + } else if (count == 3) { + BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); + BrotliWriteBits(max_bits, symbols[1], storage_ix, storage); + BrotliWriteBits(max_bits, symbols[2], storage_ix, storage); + } else { + BrotliWriteBits(max_bits, symbols[0], storage_ix, storage); + BrotliWriteBits(max_bits, symbols[1], storage_ix, storage); + BrotliWriteBits(max_bits, symbols[2], storage_ix, storage); + BrotliWriteBits(max_bits, symbols[3], storage_ix, storage); + /* tree-select */ + BrotliWriteBits(1, depth[symbols[0]] == 1 ? 1 : 0, storage_ix, storage); + } + } else { + uint8_t previous_value = 8; + size_t i; + /* Complex Huffman Tree */ + StoreStaticCodeLengthCode(storage_ix, storage); + + /* Actual RLE coding. */ + for (i = 0; i < length;) { + const uint8_t value = depth[i]; + size_t reps = 1; + size_t k; + for (k = i + 1; k < length && depth[k] == value; ++k) { + ++reps; + } + i += reps; + if (value == 0) { + BrotliWriteBits(kZeroRepsDepth[reps], kZeroRepsBits[reps], + storage_ix, storage); + } else { + if (previous_value != value) { + BrotliWriteBits(kCodeLengthDepth[value], kCodeLengthBits[value], + storage_ix, storage); + --reps; + } + if (reps < 3) { + while (reps != 0) { + reps--; + BrotliWriteBits(kCodeLengthDepth[value], kCodeLengthBits[value], + storage_ix, storage); + } + } else { + reps -= 3; + BrotliWriteBits(kNonZeroRepsDepth[reps], kNonZeroRepsBits[reps], + storage_ix, storage); + } + previous_value = value; + } + } + } +} + +static size_t IndexOf(const uint8_t* v, size_t v_size, uint8_t value) { + size_t i = 0; + for (; i < v_size; ++i) { + if (v[i] == value) return i; + } + return i; +} + +static void MoveToFront(uint8_t* v, size_t index) { + uint8_t value = v[index]; + size_t i; + for (i = index; i != 0; --i) { + v[i] = v[i - 1]; + } + v[0] = value; +} + +static void MoveToFrontTransform(const uint32_t* BROTLI_RESTRICT v_in, + const size_t v_size, + uint32_t* v_out) { + size_t i; + uint8_t mtf[256]; + uint32_t max_value; + if (v_size == 0) { + return; + } + max_value = v_in[0]; + for (i = 1; i < v_size; ++i) { + if (v_in[i] > max_value) max_value = v_in[i]; + } + BROTLI_DCHECK(max_value < 256u); + for (i = 0; i <= max_value; ++i) { + mtf[i] = (uint8_t)i; + } + { + size_t mtf_size = max_value + 1; + for (i = 0; i < v_size; ++i) { + size_t index = IndexOf(mtf, mtf_size, (uint8_t)v_in[i]); + BROTLI_DCHECK(index < mtf_size); + v_out[i] = (uint32_t)index; + MoveToFront(mtf, index); + } + } +} + +/* Finds runs of zeros in v[0..in_size) and replaces them with a prefix code of + the run length plus extra bits (lower 9 bits is the prefix code and the rest + are the extra bits). Non-zero values in v[] are shifted by + *max_length_prefix. Will not create prefix codes bigger than the initial + value of *max_run_length_prefix. The prefix code of run length L is simply + Log2Floor(L) and the number of extra bits is the same as the prefix code. */ +static void RunLengthCodeZeros(const size_t in_size, + uint32_t* BROTLI_RESTRICT v, size_t* BROTLI_RESTRICT out_size, + uint32_t* BROTLI_RESTRICT max_run_length_prefix) { + uint32_t max_reps = 0; + size_t i; + uint32_t max_prefix; + for (i = 0; i < in_size;) { + uint32_t reps = 0; + for (; i < in_size && v[i] != 0; ++i) ; + for (; i < in_size && v[i] == 0; ++i) { + ++reps; + } + max_reps = BROTLI_MAX(uint32_t, reps, max_reps); + } + max_prefix = max_reps > 0 ? Log2FloorNonZero(max_reps) : 0; + max_prefix = BROTLI_MIN(uint32_t, max_prefix, *max_run_length_prefix); + *max_run_length_prefix = max_prefix; + *out_size = 0; + for (i = 0; i < in_size;) { + BROTLI_DCHECK(*out_size <= i); + if (v[i] != 0) { + v[*out_size] = v[i] + *max_run_length_prefix; + ++i; + ++(*out_size); + } else { + uint32_t reps = 1; + size_t k; + for (k = i + 1; k < in_size && v[k] == 0; ++k) { + ++reps; + } + i += reps; + while (reps != 0) { + if (reps < (2u << max_prefix)) { + uint32_t run_length_prefix = Log2FloorNonZero(reps); + const uint32_t extra_bits = reps - (1u << run_length_prefix); + v[*out_size] = run_length_prefix + (extra_bits << 9); + ++(*out_size); + break; + } else { + const uint32_t extra_bits = (1u << max_prefix) - 1u; + v[*out_size] = max_prefix + (extra_bits << 9); + reps -= (2u << max_prefix) - 1u; + ++(*out_size); + } + } + } + } +} + +#define SYMBOL_BITS 9 + +static void EncodeContextMap(MemoryManager* m, + const uint32_t* context_map, + size_t context_map_size, + size_t num_clusters, + HuffmanTree* tree, + size_t* storage_ix, uint8_t* storage) { + size_t i; + uint32_t* rle_symbols; + uint32_t max_run_length_prefix = 6; + size_t num_rle_symbols = 0; + uint32_t histogram[BROTLI_MAX_CONTEXT_MAP_SYMBOLS]; + static const uint32_t kSymbolMask = (1u << SYMBOL_BITS) - 1u; + uint8_t depths[BROTLI_MAX_CONTEXT_MAP_SYMBOLS]; + uint16_t bits[BROTLI_MAX_CONTEXT_MAP_SYMBOLS]; + + StoreVarLenUint8(num_clusters - 1, storage_ix, storage); + + if (num_clusters == 1) { + return; + } + + rle_symbols = BROTLI_ALLOC(m, uint32_t, context_map_size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(rle_symbols)) return; + MoveToFrontTransform(context_map, context_map_size, rle_symbols); + RunLengthCodeZeros(context_map_size, rle_symbols, + &num_rle_symbols, &max_run_length_prefix); + memset(histogram, 0, sizeof(histogram)); + for (i = 0; i < num_rle_symbols; ++i) { + ++histogram[rle_symbols[i] & kSymbolMask]; + } + { + BROTLI_BOOL use_rle = TO_BROTLI_BOOL(max_run_length_prefix > 0); + BrotliWriteBits(1, (uint64_t)use_rle, storage_ix, storage); + if (use_rle) { + BrotliWriteBits(4, max_run_length_prefix - 1, storage_ix, storage); + } + } + BuildAndStoreHuffmanTree(histogram, num_clusters + max_run_length_prefix, + num_clusters + max_run_length_prefix, + tree, depths, bits, storage_ix, storage); + for (i = 0; i < num_rle_symbols; ++i) { + const uint32_t rle_symbol = rle_symbols[i] & kSymbolMask; + const uint32_t extra_bits_val = rle_symbols[i] >> SYMBOL_BITS; + BrotliWriteBits(depths[rle_symbol], bits[rle_symbol], storage_ix, storage); + if (rle_symbol > 0 && rle_symbol <= max_run_length_prefix) { + BrotliWriteBits(rle_symbol, extra_bits_val, storage_ix, storage); + } + } + BrotliWriteBits(1, 1, storage_ix, storage); /* use move-to-front */ + BROTLI_FREE(m, rle_symbols); +} + +/* Stores the block switch command with index block_ix to the bit stream. */ +static BROTLI_INLINE void StoreBlockSwitch(BlockSplitCode* code, + const uint32_t block_len, + const uint8_t block_type, + BROTLI_BOOL is_first_block, + size_t* storage_ix, + uint8_t* storage) { + size_t typecode = NextBlockTypeCode(&code->type_code_calculator, block_type); + size_t lencode; + uint32_t len_nextra; + uint32_t len_extra; + if (!is_first_block) { + BrotliWriteBits(code->type_depths[typecode], code->type_bits[typecode], + storage_ix, storage); + } + GetBlockLengthPrefixCode(block_len, &lencode, &len_nextra, &len_extra); + + BrotliWriteBits(code->length_depths[lencode], code->length_bits[lencode], + storage_ix, storage); + BrotliWriteBits(len_nextra, len_extra, storage_ix, storage); +} + +/* Builds a BlockSplitCode data structure from the block split given by the + vector of block types and block lengths and stores it to the bit stream. */ +static void BuildAndStoreBlockSplitCode(const uint8_t* types, + const uint32_t* lengths, + const size_t num_blocks, + const size_t num_types, + HuffmanTree* tree, + BlockSplitCode* code, + size_t* storage_ix, + uint8_t* storage) { + uint32_t type_histo[BROTLI_MAX_BLOCK_TYPE_SYMBOLS]; + uint32_t length_histo[BROTLI_NUM_BLOCK_LEN_SYMBOLS]; + size_t i; + BlockTypeCodeCalculator type_code_calculator; + memset(type_histo, 0, (num_types + 2) * sizeof(type_histo[0])); + memset(length_histo, 0, sizeof(length_histo)); + InitBlockTypeCodeCalculator(&type_code_calculator); + for (i = 0; i < num_blocks; ++i) { + size_t type_code = NextBlockTypeCode(&type_code_calculator, types[i]); + if (i != 0) ++type_histo[type_code]; + ++length_histo[BlockLengthPrefixCode(lengths[i])]; + } + StoreVarLenUint8(num_types - 1, storage_ix, storage); + if (num_types > 1) { /* TODO: else? could StoreBlockSwitch occur? */ + BuildAndStoreHuffmanTree(&type_histo[0], num_types + 2, num_types + 2, tree, + &code->type_depths[0], &code->type_bits[0], + storage_ix, storage); + BuildAndStoreHuffmanTree(&length_histo[0], BROTLI_NUM_BLOCK_LEN_SYMBOLS, + BROTLI_NUM_BLOCK_LEN_SYMBOLS, + tree, &code->length_depths[0], + &code->length_bits[0], storage_ix, storage); + StoreBlockSwitch(code, lengths[0], types[0], 1, storage_ix, storage); + } +} + +/* Stores a context map where the histogram type is always the block type. */ +static void StoreTrivialContextMap(size_t num_types, + size_t context_bits, + HuffmanTree* tree, + size_t* storage_ix, + uint8_t* storage) { + StoreVarLenUint8(num_types - 1, storage_ix, storage); + if (num_types > 1) { + size_t repeat_code = context_bits - 1u; + size_t repeat_bits = (1u << repeat_code) - 1u; + size_t alphabet_size = num_types + repeat_code; + uint32_t histogram[BROTLI_MAX_CONTEXT_MAP_SYMBOLS]; + uint8_t depths[BROTLI_MAX_CONTEXT_MAP_SYMBOLS]; + uint16_t bits[BROTLI_MAX_CONTEXT_MAP_SYMBOLS]; + size_t i; + memset(histogram, 0, alphabet_size * sizeof(histogram[0])); + /* Write RLEMAX. */ + BrotliWriteBits(1, 1, storage_ix, storage); + BrotliWriteBits(4, repeat_code - 1, storage_ix, storage); + histogram[repeat_code] = (uint32_t)num_types; + histogram[0] = 1; + for (i = context_bits; i < alphabet_size; ++i) { + histogram[i] = 1; + } + BuildAndStoreHuffmanTree(histogram, alphabet_size, alphabet_size, + tree, depths, bits, storage_ix, storage); + for (i = 0; i < num_types; ++i) { + size_t code = (i == 0 ? 0 : i + context_bits - 1); + BrotliWriteBits(depths[code], bits[code], storage_ix, storage); + BrotliWriteBits( + depths[repeat_code], bits[repeat_code], storage_ix, storage); + BrotliWriteBits(repeat_code, repeat_bits, storage_ix, storage); + } + /* Write IMTF (inverse-move-to-front) bit. */ + BrotliWriteBits(1, 1, storage_ix, storage); + } +} + +/* Manages the encoding of one block category (literal, command or distance). */ +typedef struct BlockEncoder { + size_t histogram_length_; + size_t num_block_types_; + const uint8_t* block_types_; /* Not owned. */ + const uint32_t* block_lengths_; /* Not owned. */ + size_t num_blocks_; + BlockSplitCode block_split_code_; + size_t block_ix_; + size_t block_len_; + size_t entropy_ix_; + uint8_t* depths_; + uint16_t* bits_; +} BlockEncoder; + +static void InitBlockEncoder(BlockEncoder* self, size_t histogram_length, + size_t num_block_types, const uint8_t* block_types, + const uint32_t* block_lengths, const size_t num_blocks) { + self->histogram_length_ = histogram_length; + self->num_block_types_ = num_block_types; + self->block_types_ = block_types; + self->block_lengths_ = block_lengths; + self->num_blocks_ = num_blocks; + InitBlockTypeCodeCalculator(&self->block_split_code_.type_code_calculator); + self->block_ix_ = 0; + self->block_len_ = num_blocks == 0 ? 0 : block_lengths[0]; + self->entropy_ix_ = 0; + self->depths_ = 0; + self->bits_ = 0; +} + +static void CleanupBlockEncoder(MemoryManager* m, BlockEncoder* self) { + BROTLI_FREE(m, self->depths_); + BROTLI_FREE(m, self->bits_); +} + +/* Creates entropy codes of block lengths and block types and stores them + to the bit stream. */ +static void BuildAndStoreBlockSwitchEntropyCodes(BlockEncoder* self, + HuffmanTree* tree, size_t* storage_ix, uint8_t* storage) { + BuildAndStoreBlockSplitCode(self->block_types_, self->block_lengths_, + self->num_blocks_, self->num_block_types_, tree, &self->block_split_code_, + storage_ix, storage); +} + +/* Stores the next symbol with the entropy code of the current block type. + Updates the block type and block length at block boundaries. */ +static void StoreSymbol(BlockEncoder* self, size_t symbol, size_t* storage_ix, + uint8_t* storage) { + if (self->block_len_ == 0) { + size_t block_ix = ++self->block_ix_; + uint32_t block_len = self->block_lengths_[block_ix]; + uint8_t block_type = self->block_types_[block_ix]; + self->block_len_ = block_len; + self->entropy_ix_ = block_type * self->histogram_length_; + StoreBlockSwitch(&self->block_split_code_, block_len, block_type, 0, + storage_ix, storage); + } + --self->block_len_; + { + size_t ix = self->entropy_ix_ + symbol; + BrotliWriteBits(self->depths_[ix], self->bits_[ix], storage_ix, storage); + } +} + +/* Stores the next symbol with the entropy code of the current block type and + context value. + Updates the block type and block length at block boundaries. */ +static void StoreSymbolWithContext(BlockEncoder* self, size_t symbol, + size_t context, const uint32_t* context_map, size_t* storage_ix, + uint8_t* storage, const size_t context_bits) { + if (self->block_len_ == 0) { + size_t block_ix = ++self->block_ix_; + uint32_t block_len = self->block_lengths_[block_ix]; + uint8_t block_type = self->block_types_[block_ix]; + self->block_len_ = block_len; + self->entropy_ix_ = (size_t)block_type << context_bits; + StoreBlockSwitch(&self->block_split_code_, block_len, block_type, 0, + storage_ix, storage); + } + --self->block_len_; + { + size_t histo_ix = context_map[self->entropy_ix_ + context]; + size_t ix = histo_ix * self->histogram_length_ + symbol; + BrotliWriteBits(self->depths_[ix], self->bits_[ix], storage_ix, storage); + } +} + +#define FN(X) X ## Literal +/* NOLINTNEXTLINE(build/include) */ +#include "./block_encoder_inc.h" +#undef FN + +#define FN(X) X ## Command +/* NOLINTNEXTLINE(build/include) */ +#include "./block_encoder_inc.h" +#undef FN + +#define FN(X) X ## Distance +/* NOLINTNEXTLINE(build/include) */ +#include "./block_encoder_inc.h" +#undef FN + +static void JumpToByteBoundary(size_t* storage_ix, uint8_t* storage) { + *storage_ix = (*storage_ix + 7u) & ~7u; + storage[*storage_ix >> 3] = 0; +} + +void BrotliStoreMetaBlock(MemoryManager* m, + const uint8_t* input, size_t start_pos, size_t length, size_t mask, + uint8_t prev_byte, uint8_t prev_byte2, BROTLI_BOOL is_last, + const BrotliEncoderParams* params, ContextType literal_context_mode, + const Command* commands, size_t n_commands, const MetaBlockSplit* mb, + size_t* storage_ix, uint8_t* storage) { + + size_t pos = start_pos; + size_t i; + uint32_t num_distance_symbols = params->dist.alphabet_size_max; + uint32_t num_effective_distance_symbols = params->dist.alphabet_size_limit; + HuffmanTree* tree; + ContextLut literal_context_lut = BROTLI_CONTEXT_LUT(literal_context_mode); + BlockEncoder literal_enc; + BlockEncoder command_enc; + BlockEncoder distance_enc; + const BrotliDistanceParams* dist = ¶ms->dist; + BROTLI_DCHECK( + num_effective_distance_symbols <= BROTLI_NUM_HISTOGRAM_DISTANCE_SYMBOLS); + + StoreCompressedMetaBlockHeader(is_last, length, storage_ix, storage); + + tree = BROTLI_ALLOC(m, HuffmanTree, MAX_HUFFMAN_TREE_SIZE); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(tree)) return; + InitBlockEncoder(&literal_enc, BROTLI_NUM_LITERAL_SYMBOLS, + mb->literal_split.num_types, mb->literal_split.types, + mb->literal_split.lengths, mb->literal_split.num_blocks); + InitBlockEncoder(&command_enc, BROTLI_NUM_COMMAND_SYMBOLS, + mb->command_split.num_types, mb->command_split.types, + mb->command_split.lengths, mb->command_split.num_blocks); + InitBlockEncoder(&distance_enc, num_effective_distance_symbols, + mb->distance_split.num_types, mb->distance_split.types, + mb->distance_split.lengths, mb->distance_split.num_blocks); + + BuildAndStoreBlockSwitchEntropyCodes(&literal_enc, tree, storage_ix, storage); + BuildAndStoreBlockSwitchEntropyCodes(&command_enc, tree, storage_ix, storage); + BuildAndStoreBlockSwitchEntropyCodes( + &distance_enc, tree, storage_ix, storage); + + BrotliWriteBits(2, dist->distance_postfix_bits, storage_ix, storage); + BrotliWriteBits( + 4, dist->num_direct_distance_codes >> dist->distance_postfix_bits, + storage_ix, storage); + for (i = 0; i < mb->literal_split.num_types; ++i) { + BrotliWriteBits(2, literal_context_mode, storage_ix, storage); + } + + if (mb->literal_context_map_size == 0) { + StoreTrivialContextMap(mb->literal_histograms_size, + BROTLI_LITERAL_CONTEXT_BITS, tree, storage_ix, storage); + } else { + EncodeContextMap(m, + mb->literal_context_map, mb->literal_context_map_size, + mb->literal_histograms_size, tree, storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + } + + if (mb->distance_context_map_size == 0) { + StoreTrivialContextMap(mb->distance_histograms_size, + BROTLI_DISTANCE_CONTEXT_BITS, tree, storage_ix, storage); + } else { + EncodeContextMap(m, + mb->distance_context_map, mb->distance_context_map_size, + mb->distance_histograms_size, tree, storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + } + + BuildAndStoreEntropyCodesLiteral(m, &literal_enc, mb->literal_histograms, + mb->literal_histograms_size, BROTLI_NUM_LITERAL_SYMBOLS, tree, + storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + BuildAndStoreEntropyCodesCommand(m, &command_enc, mb->command_histograms, + mb->command_histograms_size, BROTLI_NUM_COMMAND_SYMBOLS, tree, + storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + BuildAndStoreEntropyCodesDistance(m, &distance_enc, mb->distance_histograms, + mb->distance_histograms_size, num_distance_symbols, tree, + storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + BROTLI_FREE(m, tree); + + for (i = 0; i < n_commands; ++i) { + const Command cmd = commands[i]; + size_t cmd_code = cmd.cmd_prefix_; + StoreSymbol(&command_enc, cmd_code, storage_ix, storage); + StoreCommandExtra(&cmd, storage_ix, storage); + if (mb->literal_context_map_size == 0) { + size_t j; + for (j = cmd.insert_len_; j != 0; --j) { + StoreSymbol(&literal_enc, input[pos & mask], storage_ix, storage); + ++pos; + } + } else { + size_t j; + for (j = cmd.insert_len_; j != 0; --j) { + size_t context = + BROTLI_CONTEXT(prev_byte, prev_byte2, literal_context_lut); + uint8_t literal = input[pos & mask]; + StoreSymbolWithContext(&literal_enc, literal, context, + mb->literal_context_map, storage_ix, storage, + BROTLI_LITERAL_CONTEXT_BITS); + prev_byte2 = prev_byte; + prev_byte = literal; + ++pos; + } + } + pos += CommandCopyLen(&cmd); + if (CommandCopyLen(&cmd)) { + prev_byte2 = input[(pos - 2) & mask]; + prev_byte = input[(pos - 1) & mask]; + if (cmd.cmd_prefix_ >= 128) { + size_t dist_code = cmd.dist_prefix_ & 0x3FF; + uint32_t distnumextra = cmd.dist_prefix_ >> 10; + uint64_t distextra = cmd.dist_extra_; + if (mb->distance_context_map_size == 0) { + StoreSymbol(&distance_enc, dist_code, storage_ix, storage); + } else { + size_t context = CommandDistanceContext(&cmd); + StoreSymbolWithContext(&distance_enc, dist_code, context, + mb->distance_context_map, storage_ix, storage, + BROTLI_DISTANCE_CONTEXT_BITS); + } + BrotliWriteBits(distnumextra, distextra, storage_ix, storage); + } + } + } + CleanupBlockEncoder(m, &distance_enc); + CleanupBlockEncoder(m, &command_enc); + CleanupBlockEncoder(m, &literal_enc); + if (is_last) { + JumpToByteBoundary(storage_ix, storage); + } +} + +static void BuildHistograms(const uint8_t* input, + size_t start_pos, + size_t mask, + const Command* commands, + size_t n_commands, + HistogramLiteral* lit_histo, + HistogramCommand* cmd_histo, + HistogramDistance* dist_histo) { + size_t pos = start_pos; + size_t i; + for (i = 0; i < n_commands; ++i) { + const Command cmd = commands[i]; + size_t j; + HistogramAddCommand(cmd_histo, cmd.cmd_prefix_); + for (j = cmd.insert_len_; j != 0; --j) { + HistogramAddLiteral(lit_histo, input[pos & mask]); + ++pos; + } + pos += CommandCopyLen(&cmd); + if (CommandCopyLen(&cmd) && cmd.cmd_prefix_ >= 128) { + HistogramAddDistance(dist_histo, cmd.dist_prefix_ & 0x3FF); + } + } +} + +static void StoreDataWithHuffmanCodes(const uint8_t* input, + size_t start_pos, + size_t mask, + const Command* commands, + size_t n_commands, + const uint8_t* lit_depth, + const uint16_t* lit_bits, + const uint8_t* cmd_depth, + const uint16_t* cmd_bits, + const uint8_t* dist_depth, + const uint16_t* dist_bits, + size_t* storage_ix, + uint8_t* storage) { + size_t pos = start_pos; + size_t i; + for (i = 0; i < n_commands; ++i) { + const Command cmd = commands[i]; + const size_t cmd_code = cmd.cmd_prefix_; + size_t j; + BrotliWriteBits( + cmd_depth[cmd_code], cmd_bits[cmd_code], storage_ix, storage); + StoreCommandExtra(&cmd, storage_ix, storage); + for (j = cmd.insert_len_; j != 0; --j) { + const uint8_t literal = input[pos & mask]; + BrotliWriteBits( + lit_depth[literal], lit_bits[literal], storage_ix, storage); + ++pos; + } + pos += CommandCopyLen(&cmd); + if (CommandCopyLen(&cmd) && cmd.cmd_prefix_ >= 128) { + const size_t dist_code = cmd.dist_prefix_ & 0x3FF; + const uint32_t distnumextra = cmd.dist_prefix_ >> 10; + const uint32_t distextra = cmd.dist_extra_; + BrotliWriteBits(dist_depth[dist_code], dist_bits[dist_code], + storage_ix, storage); + BrotliWriteBits(distnumextra, distextra, storage_ix, storage); + } + } +} + +void BrotliStoreMetaBlockTrivial(MemoryManager* m, + const uint8_t* input, size_t start_pos, size_t length, size_t mask, + BROTLI_BOOL is_last, const BrotliEncoderParams* params, + const Command* commands, size_t n_commands, + size_t* storage_ix, uint8_t* storage) { + HistogramLiteral lit_histo; + HistogramCommand cmd_histo; + HistogramDistance dist_histo; + uint8_t lit_depth[BROTLI_NUM_LITERAL_SYMBOLS]; + uint16_t lit_bits[BROTLI_NUM_LITERAL_SYMBOLS]; + uint8_t cmd_depth[BROTLI_NUM_COMMAND_SYMBOLS]; + uint16_t cmd_bits[BROTLI_NUM_COMMAND_SYMBOLS]; + uint8_t dist_depth[MAX_SIMPLE_DISTANCE_ALPHABET_SIZE]; + uint16_t dist_bits[MAX_SIMPLE_DISTANCE_ALPHABET_SIZE]; + HuffmanTree* tree; + uint32_t num_distance_symbols = params->dist.alphabet_size_max; + + StoreCompressedMetaBlockHeader(is_last, length, storage_ix, storage); + + HistogramClearLiteral(&lit_histo); + HistogramClearCommand(&cmd_histo); + HistogramClearDistance(&dist_histo); + + BuildHistograms(input, start_pos, mask, commands, n_commands, + &lit_histo, &cmd_histo, &dist_histo); + + BrotliWriteBits(13, 0, storage_ix, storage); + + tree = BROTLI_ALLOC(m, HuffmanTree, MAX_HUFFMAN_TREE_SIZE); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(tree)) return; + BuildAndStoreHuffmanTree(lit_histo.data_, BROTLI_NUM_LITERAL_SYMBOLS, + BROTLI_NUM_LITERAL_SYMBOLS, tree, + lit_depth, lit_bits, + storage_ix, storage); + BuildAndStoreHuffmanTree(cmd_histo.data_, BROTLI_NUM_COMMAND_SYMBOLS, + BROTLI_NUM_COMMAND_SYMBOLS, tree, + cmd_depth, cmd_bits, + storage_ix, storage); + BuildAndStoreHuffmanTree(dist_histo.data_, MAX_SIMPLE_DISTANCE_ALPHABET_SIZE, + num_distance_symbols, tree, + dist_depth, dist_bits, + storage_ix, storage); + BROTLI_FREE(m, tree); + StoreDataWithHuffmanCodes(input, start_pos, mask, commands, + n_commands, lit_depth, lit_bits, + cmd_depth, cmd_bits, + dist_depth, dist_bits, + storage_ix, storage); + if (is_last) { + JumpToByteBoundary(storage_ix, storage); + } +} + +void BrotliStoreMetaBlockFast(MemoryManager* m, + const uint8_t* input, size_t start_pos, size_t length, size_t mask, + BROTLI_BOOL is_last, const BrotliEncoderParams* params, + const Command* commands, size_t n_commands, + size_t* storage_ix, uint8_t* storage) { + uint32_t num_distance_symbols = params->dist.alphabet_size_max; + uint32_t distance_alphabet_bits = + Log2FloorNonZero(num_distance_symbols - 1) + 1; + + StoreCompressedMetaBlockHeader(is_last, length, storage_ix, storage); + + BrotliWriteBits(13, 0, storage_ix, storage); + + if (n_commands <= 128) { + uint32_t histogram[BROTLI_NUM_LITERAL_SYMBOLS] = { 0 }; + size_t pos = start_pos; + size_t num_literals = 0; + size_t i; + uint8_t lit_depth[BROTLI_NUM_LITERAL_SYMBOLS]; + uint16_t lit_bits[BROTLI_NUM_LITERAL_SYMBOLS]; + for (i = 0; i < n_commands; ++i) { + const Command cmd = commands[i]; + size_t j; + for (j = cmd.insert_len_; j != 0; --j) { + ++histogram[input[pos & mask]]; + ++pos; + } + num_literals += cmd.insert_len_; + pos += CommandCopyLen(&cmd); + } + BrotliBuildAndStoreHuffmanTreeFast(m, histogram, num_literals, + /* max_bits = */ 8, + lit_depth, lit_bits, + storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + StoreStaticCommandHuffmanTree(storage_ix, storage); + StoreStaticDistanceHuffmanTree(storage_ix, storage); + StoreDataWithHuffmanCodes(input, start_pos, mask, commands, + n_commands, lit_depth, lit_bits, + kStaticCommandCodeDepth, + kStaticCommandCodeBits, + kStaticDistanceCodeDepth, + kStaticDistanceCodeBits, + storage_ix, storage); + } else { + HistogramLiteral lit_histo; + HistogramCommand cmd_histo; + HistogramDistance dist_histo; + uint8_t lit_depth[BROTLI_NUM_LITERAL_SYMBOLS]; + uint16_t lit_bits[BROTLI_NUM_LITERAL_SYMBOLS]; + uint8_t cmd_depth[BROTLI_NUM_COMMAND_SYMBOLS]; + uint16_t cmd_bits[BROTLI_NUM_COMMAND_SYMBOLS]; + uint8_t dist_depth[MAX_SIMPLE_DISTANCE_ALPHABET_SIZE]; + uint16_t dist_bits[MAX_SIMPLE_DISTANCE_ALPHABET_SIZE]; + HistogramClearLiteral(&lit_histo); + HistogramClearCommand(&cmd_histo); + HistogramClearDistance(&dist_histo); + BuildHistograms(input, start_pos, mask, commands, n_commands, + &lit_histo, &cmd_histo, &dist_histo); + BrotliBuildAndStoreHuffmanTreeFast(m, lit_histo.data_, + lit_histo.total_count_, + /* max_bits = */ 8, + lit_depth, lit_bits, + storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + BrotliBuildAndStoreHuffmanTreeFast(m, cmd_histo.data_, + cmd_histo.total_count_, + /* max_bits = */ 10, + cmd_depth, cmd_bits, + storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + BrotliBuildAndStoreHuffmanTreeFast(m, dist_histo.data_, + dist_histo.total_count_, + /* max_bits = */ + distance_alphabet_bits, + dist_depth, dist_bits, + storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + StoreDataWithHuffmanCodes(input, start_pos, mask, commands, + n_commands, lit_depth, lit_bits, + cmd_depth, cmd_bits, + dist_depth, dist_bits, + storage_ix, storage); + } + + if (is_last) { + JumpToByteBoundary(storage_ix, storage); + } +} + +/* This is for storing uncompressed blocks (simple raw storage of + bytes-as-bytes). */ +void BrotliStoreUncompressedMetaBlock(BROTLI_BOOL is_final_block, + const uint8_t* BROTLI_RESTRICT input, + size_t position, size_t mask, + size_t len, + size_t* BROTLI_RESTRICT storage_ix, + uint8_t* BROTLI_RESTRICT storage) { + size_t masked_pos = position & mask; + BrotliStoreUncompressedMetaBlockHeader(len, storage_ix, storage); + JumpToByteBoundary(storage_ix, storage); + + if (masked_pos + len > mask + 1) { + size_t len1 = mask + 1 - masked_pos; + memcpy(&storage[*storage_ix >> 3], &input[masked_pos], len1); + *storage_ix += len1 << 3; + len -= len1; + masked_pos = 0; + } + memcpy(&storage[*storage_ix >> 3], &input[masked_pos], len); + *storage_ix += len << 3; + + /* We need to clear the next 4 bytes to continue to be + compatible with BrotliWriteBits. */ + BrotliWriteBitsPrepareStorage(*storage_ix, storage); + + /* Since the uncompressed block itself may not be the final block, add an + empty one after this. */ + if (is_final_block) { + BrotliWriteBits(1, 1, storage_ix, storage); /* islast */ + BrotliWriteBits(1, 1, storage_ix, storage); /* isempty */ + JumpToByteBoundary(storage_ix, storage); + } +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/brotli_bit_stream.h b/modules/brotli/enc/brotli_bit_stream.h new file mode 100644 index 0000000000..2ed703bf79 --- /dev/null +++ b/modules/brotli/enc/brotli_bit_stream.h @@ -0,0 +1,84 @@ +/* Copyright 2014 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Functions to convert brotli-related data structures into the + brotli bit stream. The functions here operate under + assumption that there is enough space in the storage, i.e., there are + no out-of-range checks anywhere. + + These functions do bit addressing into a byte array. The byte array + is called "storage" and the index to the bit is called storage_ix + in function arguments. */ + +#ifndef BROTLI_ENC_BROTLI_BIT_STREAM_H_ +#define BROTLI_ENC_BROTLI_BIT_STREAM_H_ + +#include "../common/context.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./command.h" +#include "./entropy_encode.h" +#include "./memory.h" +#include "./metablock.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* All Store functions here will use a storage_ix, which is always the bit + position for the current storage. */ + +BROTLI_INTERNAL void BrotliStoreHuffmanTree(const uint8_t* depths, size_t num, + HuffmanTree* tree, size_t* storage_ix, uint8_t* storage); + +BROTLI_INTERNAL void BrotliBuildAndStoreHuffmanTreeFast( + MemoryManager* m, const uint32_t* histogram, const size_t histogram_total, + const size_t max_bits, uint8_t* depth, uint16_t* bits, size_t* storage_ix, + uint8_t* storage); + +/* REQUIRES: length > 0 */ +/* REQUIRES: length <= (1 << 24) */ +BROTLI_INTERNAL void BrotliStoreMetaBlock(MemoryManager* m, + const uint8_t* input, size_t start_pos, size_t length, size_t mask, + uint8_t prev_byte, uint8_t prev_byte2, BROTLI_BOOL is_last, + const BrotliEncoderParams* params, ContextType literal_context_mode, + const Command* commands, size_t n_commands, const MetaBlockSplit* mb, + size_t* storage_ix, uint8_t* storage); + +/* Stores the meta-block without doing any block splitting, just collects + one histogram per block category and uses that for entropy coding. + REQUIRES: length > 0 + REQUIRES: length <= (1 << 24) */ +BROTLI_INTERNAL void BrotliStoreMetaBlockTrivial(MemoryManager* m, + const uint8_t* input, size_t start_pos, size_t length, size_t mask, + BROTLI_BOOL is_last, const BrotliEncoderParams* params, + const Command* commands, size_t n_commands, + size_t* storage_ix, uint8_t* storage); + +/* Same as above, but uses static prefix codes for histograms with a only a few + symbols, and uses static code length prefix codes for all other histograms. + REQUIRES: length > 0 + REQUIRES: length <= (1 << 24) */ +BROTLI_INTERNAL void BrotliStoreMetaBlockFast(MemoryManager* m, + const uint8_t* input, size_t start_pos, size_t length, size_t mask, + BROTLI_BOOL is_last, const BrotliEncoderParams* params, + const Command* commands, size_t n_commands, + size_t* storage_ix, uint8_t* storage); + +/* This is for storing uncompressed blocks (simple raw storage of + bytes-as-bytes). + REQUIRES: length > 0 + REQUIRES: length <= (1 << 24) */ +BROTLI_INTERNAL void BrotliStoreUncompressedMetaBlock( + BROTLI_BOOL is_final_block, const uint8_t* BROTLI_RESTRICT input, + size_t position, size_t mask, size_t len, + size_t* BROTLI_RESTRICT storage_ix, uint8_t* BROTLI_RESTRICT storage); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_BROTLI_BIT_STREAM_H_ */ diff --git a/modules/brotli/enc/cluster.c b/modules/brotli/enc/cluster.c new file mode 100644 index 0000000000..a20dfd385f --- /dev/null +++ b/modules/brotli/enc/cluster.c @@ -0,0 +1,56 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Functions for clustering similar histograms together. */ + +#include "./cluster.h" + +#include "../common/platform.h" +#include <brotli/types.h> +#include "./bit_cost.h" /* BrotliPopulationCost */ +#include "./fast_log.h" +#include "./histogram.h" +#include "./memory.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +static BROTLI_INLINE BROTLI_BOOL HistogramPairIsLess( + const HistogramPair* p1, const HistogramPair* p2) { + if (p1->cost_diff != p2->cost_diff) { + return TO_BROTLI_BOOL(p1->cost_diff > p2->cost_diff); + } + return TO_BROTLI_BOOL((p1->idx2 - p1->idx1) > (p2->idx2 - p2->idx1)); +} + +/* Returns entropy reduction of the context map when we combine two clusters. */ +static BROTLI_INLINE double ClusterCostDiff(size_t size_a, size_t size_b) { + size_t size_c = size_a + size_b; + return (double)size_a * FastLog2(size_a) + + (double)size_b * FastLog2(size_b) - + (double)size_c * FastLog2(size_c); +} + +#define CODE(X) X + +#define FN(X) X ## Literal +#include "./cluster_inc.h" /* NOLINT(build/include) */ +#undef FN + +#define FN(X) X ## Command +#include "./cluster_inc.h" /* NOLINT(build/include) */ +#undef FN + +#define FN(X) X ## Distance +#include "./cluster_inc.h" /* NOLINT(build/include) */ +#undef FN + +#undef CODE + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/cluster.h b/modules/brotli/enc/cluster.h new file mode 100644 index 0000000000..bb26124d24 --- /dev/null +++ b/modules/brotli/enc/cluster.h @@ -0,0 +1,48 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Functions for clustering similar histograms together. */ + +#ifndef BROTLI_ENC_CLUSTER_H_ +#define BROTLI_ENC_CLUSTER_H_ + +#include "../common/platform.h" +#include <brotli/types.h> +#include "./histogram.h" +#include "./memory.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +typedef struct HistogramPair { + uint32_t idx1; + uint32_t idx2; + double cost_combo; + double cost_diff; +} HistogramPair; + +#define CODE(X) /* Declaration */; + +#define FN(X) X ## Literal +#include "./cluster_inc.h" /* NOLINT(build/include) */ +#undef FN + +#define FN(X) X ## Command +#include "./cluster_inc.h" /* NOLINT(build/include) */ +#undef FN + +#define FN(X) X ## Distance +#include "./cluster_inc.h" /* NOLINT(build/include) */ +#undef FN + +#undef CODE + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_CLUSTER_H_ */ diff --git a/modules/brotli/enc/cluster_inc.h b/modules/brotli/enc/cluster_inc.h new file mode 100644 index 0000000000..3d4f40e601 --- /dev/null +++ b/modules/brotli/enc/cluster_inc.h @@ -0,0 +1,320 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: FN, CODE */ + +#define HistogramType FN(Histogram) + +/* Computes the bit cost reduction by combining out[idx1] and out[idx2] and if + it is below a threshold, stores the pair (idx1, idx2) in the *pairs queue. */ +BROTLI_INTERNAL void FN(BrotliCompareAndPushToQueue)( + const HistogramType* out, const uint32_t* cluster_size, uint32_t idx1, + uint32_t idx2, size_t max_num_pairs, HistogramPair* pairs, + size_t* num_pairs) CODE({ + BROTLI_BOOL is_good_pair = BROTLI_FALSE; + HistogramPair p; + p.idx1 = p.idx2 = 0; + p.cost_diff = p.cost_combo = 0; + if (idx1 == idx2) { + return; + } + if (idx2 < idx1) { + uint32_t t = idx2; + idx2 = idx1; + idx1 = t; + } + p.idx1 = idx1; + p.idx2 = idx2; + p.cost_diff = 0.5 * ClusterCostDiff(cluster_size[idx1], cluster_size[idx2]); + p.cost_diff -= out[idx1].bit_cost_; + p.cost_diff -= out[idx2].bit_cost_; + + if (out[idx1].total_count_ == 0) { + p.cost_combo = out[idx2].bit_cost_; + is_good_pair = BROTLI_TRUE; + } else if (out[idx2].total_count_ == 0) { + p.cost_combo = out[idx1].bit_cost_; + is_good_pair = BROTLI_TRUE; + } else { + double threshold = *num_pairs == 0 ? 1e99 : + BROTLI_MAX(double, 0.0, pairs[0].cost_diff); + HistogramType combo = out[idx1]; + double cost_combo; + FN(HistogramAddHistogram)(&combo, &out[idx2]); + cost_combo = FN(BrotliPopulationCost)(&combo); + if (cost_combo < threshold - p.cost_diff) { + p.cost_combo = cost_combo; + is_good_pair = BROTLI_TRUE; + } + } + if (is_good_pair) { + p.cost_diff += p.cost_combo; + if (*num_pairs > 0 && HistogramPairIsLess(&pairs[0], &p)) { + /* Replace the top of the queue if needed. */ + if (*num_pairs < max_num_pairs) { + pairs[*num_pairs] = pairs[0]; + ++(*num_pairs); + } + pairs[0] = p; + } else if (*num_pairs < max_num_pairs) { + pairs[*num_pairs] = p; + ++(*num_pairs); + } + } +}) + +BROTLI_INTERNAL size_t FN(BrotliHistogramCombine)(HistogramType* out, + uint32_t* cluster_size, + uint32_t* symbols, + uint32_t* clusters, + HistogramPair* pairs, + size_t num_clusters, + size_t symbols_size, + size_t max_clusters, + size_t max_num_pairs) CODE({ + double cost_diff_threshold = 0.0; + size_t min_cluster_size = 1; + size_t num_pairs = 0; + + { + /* We maintain a vector of histogram pairs, with the property that the pair + with the maximum bit cost reduction is the first. */ + size_t idx1; + for (idx1 = 0; idx1 < num_clusters; ++idx1) { + size_t idx2; + for (idx2 = idx1 + 1; idx2 < num_clusters; ++idx2) { + FN(BrotliCompareAndPushToQueue)(out, cluster_size, clusters[idx1], + clusters[idx2], max_num_pairs, &pairs[0], &num_pairs); + } + } + } + + while (num_clusters > min_cluster_size) { + uint32_t best_idx1; + uint32_t best_idx2; + size_t i; + if (pairs[0].cost_diff >= cost_diff_threshold) { + cost_diff_threshold = 1e99; + min_cluster_size = max_clusters; + continue; + } + /* Take the best pair from the top of heap. */ + best_idx1 = pairs[0].idx1; + best_idx2 = pairs[0].idx2; + FN(HistogramAddHistogram)(&out[best_idx1], &out[best_idx2]); + out[best_idx1].bit_cost_ = pairs[0].cost_combo; + cluster_size[best_idx1] += cluster_size[best_idx2]; + for (i = 0; i < symbols_size; ++i) { + if (symbols[i] == best_idx2) { + symbols[i] = best_idx1; + } + } + for (i = 0; i < num_clusters; ++i) { + if (clusters[i] == best_idx2) { + memmove(&clusters[i], &clusters[i + 1], + (num_clusters - i - 1) * sizeof(clusters[0])); + break; + } + } + --num_clusters; + { + /* Remove pairs intersecting the just combined best pair. */ + size_t copy_to_idx = 0; + for (i = 0; i < num_pairs; ++i) { + HistogramPair* p = &pairs[i]; + if (p->idx1 == best_idx1 || p->idx2 == best_idx1 || + p->idx1 == best_idx2 || p->idx2 == best_idx2) { + /* Remove invalid pair from the queue. */ + continue; + } + if (HistogramPairIsLess(&pairs[0], p)) { + /* Replace the top of the queue if needed. */ + HistogramPair front = pairs[0]; + pairs[0] = *p; + pairs[copy_to_idx] = front; + } else { + pairs[copy_to_idx] = *p; + } + ++copy_to_idx; + } + num_pairs = copy_to_idx; + } + + /* Push new pairs formed with the combined histogram to the heap. */ + for (i = 0; i < num_clusters; ++i) { + FN(BrotliCompareAndPushToQueue)(out, cluster_size, best_idx1, clusters[i], + max_num_pairs, &pairs[0], &num_pairs); + } + } + return num_clusters; +}) + +/* What is the bit cost of moving histogram from cur_symbol to candidate. */ +BROTLI_INTERNAL double FN(BrotliHistogramBitCostDistance)( + const HistogramType* histogram, const HistogramType* candidate) CODE({ + if (histogram->total_count_ == 0) { + return 0.0; + } else { + HistogramType tmp = *histogram; + FN(HistogramAddHistogram)(&tmp, candidate); + return FN(BrotliPopulationCost)(&tmp) - candidate->bit_cost_; + } +}) + +/* Find the best 'out' histogram for each of the 'in' histograms. + When called, clusters[0..num_clusters) contains the unique values from + symbols[0..in_size), but this property is not preserved in this function. + Note: we assume that out[]->bit_cost_ is already up-to-date. */ +BROTLI_INTERNAL void FN(BrotliHistogramRemap)(const HistogramType* in, + size_t in_size, const uint32_t* clusters, size_t num_clusters, + HistogramType* out, uint32_t* symbols) CODE({ + size_t i; + for (i = 0; i < in_size; ++i) { + uint32_t best_out = i == 0 ? symbols[0] : symbols[i - 1]; + double best_bits = + FN(BrotliHistogramBitCostDistance)(&in[i], &out[best_out]); + size_t j; + for (j = 0; j < num_clusters; ++j) { + const double cur_bits = + FN(BrotliHistogramBitCostDistance)(&in[i], &out[clusters[j]]); + if (cur_bits < best_bits) { + best_bits = cur_bits; + best_out = clusters[j]; + } + } + symbols[i] = best_out; + } + + /* Recompute each out based on raw and symbols. */ + for (i = 0; i < num_clusters; ++i) { + FN(HistogramClear)(&out[clusters[i]]); + } + for (i = 0; i < in_size; ++i) { + FN(HistogramAddHistogram)(&out[symbols[i]], &in[i]); + } +}) + +/* Reorders elements of the out[0..length) array and changes values in + symbols[0..length) array in the following way: + * when called, symbols[] contains indexes into out[], and has N unique + values (possibly N < length) + * on return, symbols'[i] = f(symbols[i]) and + out'[symbols'[i]] = out[symbols[i]], for each 0 <= i < length, + where f is a bijection between the range of symbols[] and [0..N), and + the first occurrences of values in symbols'[i] come in consecutive + increasing order. + Returns N, the number of unique values in symbols[]. */ +BROTLI_INTERNAL size_t FN(BrotliHistogramReindex)(MemoryManager* m, + HistogramType* out, uint32_t* symbols, size_t length) CODE({ + static const uint32_t kInvalidIndex = BROTLI_UINT32_MAX; + uint32_t* new_index = BROTLI_ALLOC(m, uint32_t, length); + uint32_t next_index; + HistogramType* tmp; + size_t i; + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(new_index)) return 0; + for (i = 0; i < length; ++i) { + new_index[i] = kInvalidIndex; + } + next_index = 0; + for (i = 0; i < length; ++i) { + if (new_index[symbols[i]] == kInvalidIndex) { + new_index[symbols[i]] = next_index; + ++next_index; + } + } + /* TODO: by using idea of "cycle-sort" we can avoid allocation of + tmp and reduce the number of copying by the factor of 2. */ + tmp = BROTLI_ALLOC(m, HistogramType, next_index); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(tmp)) return 0; + next_index = 0; + for (i = 0; i < length; ++i) { + if (new_index[symbols[i]] == next_index) { + tmp[next_index] = out[symbols[i]]; + ++next_index; + } + symbols[i] = new_index[symbols[i]]; + } + BROTLI_FREE(m, new_index); + for (i = 0; i < next_index; ++i) { + out[i] = tmp[i]; + } + BROTLI_FREE(m, tmp); + return next_index; +}) + +BROTLI_INTERNAL void FN(BrotliClusterHistograms)( + MemoryManager* m, const HistogramType* in, const size_t in_size, + size_t max_histograms, HistogramType* out, size_t* out_size, + uint32_t* histogram_symbols) CODE({ + uint32_t* cluster_size = BROTLI_ALLOC(m, uint32_t, in_size); + uint32_t* clusters = BROTLI_ALLOC(m, uint32_t, in_size); + size_t num_clusters = 0; + const size_t max_input_histograms = 64; + size_t pairs_capacity = max_input_histograms * max_input_histograms / 2; + /* For the first pass of clustering, we allow all pairs. */ + HistogramPair* pairs = BROTLI_ALLOC(m, HistogramPair, pairs_capacity + 1); + size_t i; + + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(cluster_size) || + BROTLI_IS_NULL(clusters) || BROTLI_IS_NULL(pairs)) { + return; + } + + for (i = 0; i < in_size; ++i) { + cluster_size[i] = 1; + } + + for (i = 0; i < in_size; ++i) { + out[i] = in[i]; + out[i].bit_cost_ = FN(BrotliPopulationCost)(&in[i]); + histogram_symbols[i] = (uint32_t)i; + } + + for (i = 0; i < in_size; i += max_input_histograms) { + size_t num_to_combine = + BROTLI_MIN(size_t, in_size - i, max_input_histograms); + size_t num_new_clusters; + size_t j; + for (j = 0; j < num_to_combine; ++j) { + clusters[num_clusters + j] = (uint32_t)(i + j); + } + num_new_clusters = + FN(BrotliHistogramCombine)(out, cluster_size, + &histogram_symbols[i], + &clusters[num_clusters], pairs, + num_to_combine, num_to_combine, + max_histograms, pairs_capacity); + num_clusters += num_new_clusters; + } + + { + /* For the second pass, we limit the total number of histogram pairs. + After this limit is reached, we only keep searching for the best pair. */ + size_t max_num_pairs = BROTLI_MIN(size_t, + 64 * num_clusters, (num_clusters / 2) * num_clusters); + BROTLI_ENSURE_CAPACITY( + m, HistogramPair, pairs, pairs_capacity, max_num_pairs + 1); + if (BROTLI_IS_OOM(m)) return; + + /* Collapse similar histograms. */ + num_clusters = FN(BrotliHistogramCombine)(out, cluster_size, + histogram_symbols, clusters, + pairs, num_clusters, in_size, + max_histograms, max_num_pairs); + } + BROTLI_FREE(m, pairs); + BROTLI_FREE(m, cluster_size); + /* Find the optimal map from original histograms to the final ones. */ + FN(BrotliHistogramRemap)(in, in_size, clusters, num_clusters, + out, histogram_symbols); + BROTLI_FREE(m, clusters); + /* Convert the context map to a canonical form. */ + *out_size = FN(BrotliHistogramReindex)(m, out, histogram_symbols, in_size); + if (BROTLI_IS_OOM(m)) return; +}) + +#undef HistogramType diff --git a/modules/brotli/enc/command.c b/modules/brotli/enc/command.c new file mode 100644 index 0000000000..5e6c249196 --- /dev/null +++ b/modules/brotli/enc/command.c @@ -0,0 +1,28 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +#include "./command.h" + +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +const uint32_t kBrotliInsBase[BROTLI_NUM_INS_COPY_CODES] = { + 0, 1, 2, 3, 4, 5, 6, 8, 10, 14, 18, 26, + 34, 50, 66, 98, 130, 194, 322, 578, 1090, 2114, 6210, 22594}; +const uint32_t kBrotliInsExtra[BROTLI_NUM_INS_COPY_CODES] = { + 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 10, 12, 14, 24}; +const uint32_t kBrotliCopyBase[BROTLI_NUM_INS_COPY_CODES] = { + 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 18, + 22, 30, 38, 54, 70, 102, 134, 198, 326, 582, 1094, 2118}; +const uint32_t kBrotliCopyExtra[BROTLI_NUM_INS_COPY_CODES] = { + 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 10, 24}; + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/command.h b/modules/brotli/enc/command.h new file mode 100644 index 0000000000..d84e373d00 --- /dev/null +++ b/modules/brotli/enc/command.h @@ -0,0 +1,190 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* This class models a sequence of literals and a backward reference copy. */ + +#ifndef BROTLI_ENC_COMMAND_H_ +#define BROTLI_ENC_COMMAND_H_ + +#include "../common/constants.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./fast_log.h" +#include "./params.h" +#include "./prefix.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +BROTLI_INTERNAL extern const uint32_t + kBrotliInsBase[BROTLI_NUM_INS_COPY_CODES]; +BROTLI_INTERNAL extern const uint32_t + kBrotliInsExtra[BROTLI_NUM_INS_COPY_CODES]; +BROTLI_INTERNAL extern const uint32_t + kBrotliCopyBase[BROTLI_NUM_INS_COPY_CODES]; +BROTLI_INTERNAL extern const uint32_t + kBrotliCopyExtra[BROTLI_NUM_INS_COPY_CODES]; + +static BROTLI_INLINE uint16_t GetInsertLengthCode(size_t insertlen) { + if (insertlen < 6) { + return (uint16_t)insertlen; + } else if (insertlen < 130) { + uint32_t nbits = Log2FloorNonZero(insertlen - 2) - 1u; + return (uint16_t)((nbits << 1) + ((insertlen - 2) >> nbits) + 2); + } else if (insertlen < 2114) { + return (uint16_t)(Log2FloorNonZero(insertlen - 66) + 10); + } else if (insertlen < 6210) { + return 21u; + } else if (insertlen < 22594) { + return 22u; + } else { + return 23u; + } +} + +static BROTLI_INLINE uint16_t GetCopyLengthCode(size_t copylen) { + if (copylen < 10) { + return (uint16_t)(copylen - 2); + } else if (copylen < 134) { + uint32_t nbits = Log2FloorNonZero(copylen - 6) - 1u; + return (uint16_t)((nbits << 1) + ((copylen - 6) >> nbits) + 4); + } else if (copylen < 2118) { + return (uint16_t)(Log2FloorNonZero(copylen - 70) + 12); + } else { + return 23u; + } +} + +static BROTLI_INLINE uint16_t CombineLengthCodes( + uint16_t inscode, uint16_t copycode, BROTLI_BOOL use_last_distance) { + uint16_t bits64 = + (uint16_t)((copycode & 0x7u) | ((inscode & 0x7u) << 3u)); + if (use_last_distance && inscode < 8u && copycode < 16u) { + return (copycode < 8u) ? bits64 : (bits64 | 64u); + } else { + /* Specification: 5 Encoding of ... (last table) */ + /* offset = 2 * index, where index is in range [0..8] */ + uint32_t offset = 2u * ((copycode >> 3u) + 3u * (inscode >> 3u)); + /* All values in specification are K * 64, + where K = [2, 3, 6, 4, 5, 8, 7, 9, 10], + i + 1 = [1, 2, 3, 4, 5, 6, 7, 8, 9], + K - i - 1 = [1, 1, 3, 0, 0, 2, 0, 1, 2] = D. + All values in D require only 2 bits to encode. + Magic constant is shifted 6 bits left, to avoid final multiplication. */ + offset = (offset << 5u) + 0x40u + ((0x520D40u >> offset) & 0xC0u); + return (uint16_t)(offset | bits64); + } +} + +static BROTLI_INLINE void GetLengthCode(size_t insertlen, size_t copylen, + BROTLI_BOOL use_last_distance, + uint16_t* code) { + uint16_t inscode = GetInsertLengthCode(insertlen); + uint16_t copycode = GetCopyLengthCode(copylen); + *code = CombineLengthCodes(inscode, copycode, use_last_distance); +} + +static BROTLI_INLINE uint32_t GetInsertBase(uint16_t inscode) { + return kBrotliInsBase[inscode]; +} + +static BROTLI_INLINE uint32_t GetInsertExtra(uint16_t inscode) { + return kBrotliInsExtra[inscode]; +} + +static BROTLI_INLINE uint32_t GetCopyBase(uint16_t copycode) { + return kBrotliCopyBase[copycode]; +} + +static BROTLI_INLINE uint32_t GetCopyExtra(uint16_t copycode) { + return kBrotliCopyExtra[copycode]; +} + +typedef struct Command { + uint32_t insert_len_; + /* Stores copy_len in low 25 bits and copy_code - copy_len in high 7 bit. */ + uint32_t copy_len_; + /* Stores distance extra bits. */ + uint32_t dist_extra_; + uint16_t cmd_prefix_; + /* Stores distance code in low 10 bits + and number of extra bits in high 6 bits. */ + uint16_t dist_prefix_; +} Command; + +/* distance_code is e.g. 0 for same-as-last short code, or 16 for offset 1. */ +static BROTLI_INLINE void InitCommand(Command* self, + const BrotliDistanceParams* dist, size_t insertlen, + size_t copylen, int copylen_code_delta, size_t distance_code) { + /* Don't rely on signed int representation, use honest casts. */ + uint32_t delta = (uint8_t)((int8_t)copylen_code_delta); + self->insert_len_ = (uint32_t)insertlen; + self->copy_len_ = (uint32_t)(copylen | (delta << 25)); + /* The distance prefix and extra bits are stored in this Command as if + npostfix and ndirect were 0, they are only recomputed later after the + clustering if needed. */ + PrefixEncodeCopyDistance( + distance_code, dist->num_direct_distance_codes, + dist->distance_postfix_bits, &self->dist_prefix_, &self->dist_extra_); + GetLengthCode( + insertlen, (size_t)((int)copylen + copylen_code_delta), + TO_BROTLI_BOOL((self->dist_prefix_ & 0x3FF) == 0), &self->cmd_prefix_); +} + +static BROTLI_INLINE void InitInsertCommand(Command* self, size_t insertlen) { + self->insert_len_ = (uint32_t)insertlen; + self->copy_len_ = 4 << 25; + self->dist_extra_ = 0; + self->dist_prefix_ = BROTLI_NUM_DISTANCE_SHORT_CODES; + GetLengthCode(insertlen, 4, BROTLI_FALSE, &self->cmd_prefix_); +} + +static BROTLI_INLINE uint32_t CommandRestoreDistanceCode( + const Command* self, const BrotliDistanceParams* dist) { + if ((self->dist_prefix_ & 0x3FFu) < + BROTLI_NUM_DISTANCE_SHORT_CODES + dist->num_direct_distance_codes) { + return self->dist_prefix_ & 0x3FFu; + } else { + uint32_t dcode = self->dist_prefix_ & 0x3FFu; + uint32_t nbits = self->dist_prefix_ >> 10; + uint32_t extra = self->dist_extra_; + uint32_t postfix_mask = (1U << dist->distance_postfix_bits) - 1U; + uint32_t hcode = (dcode - dist->num_direct_distance_codes - + BROTLI_NUM_DISTANCE_SHORT_CODES) >> + dist->distance_postfix_bits; + uint32_t lcode = (dcode - dist->num_direct_distance_codes - + BROTLI_NUM_DISTANCE_SHORT_CODES) & postfix_mask; + uint32_t offset = ((2U + (hcode & 1U)) << nbits) - 4U; + return ((offset + extra) << dist->distance_postfix_bits) + lcode + + dist->num_direct_distance_codes + BROTLI_NUM_DISTANCE_SHORT_CODES; + } +} + +static BROTLI_INLINE uint32_t CommandDistanceContext(const Command* self) { + uint32_t r = self->cmd_prefix_ >> 6; + uint32_t c = self->cmd_prefix_ & 7; + if ((r == 0 || r == 2 || r == 4 || r == 7) && (c <= 2)) { + return c; + } + return 3; +} + +static BROTLI_INLINE uint32_t CommandCopyLen(const Command* self) { + return self->copy_len_ & 0x1FFFFFF; +} + +static BROTLI_INLINE uint32_t CommandCopyLenCode(const Command* self) { + uint32_t modifier = self->copy_len_ >> 25; + int32_t delta = (int8_t)((uint8_t)(modifier | ((modifier & 0x40) << 1))); + return (uint32_t)((int32_t)(self->copy_len_ & 0x1FFFFFF) + delta); +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_COMMAND_H_ */ diff --git a/modules/brotli/enc/compress_fragment.c b/modules/brotli/enc/compress_fragment.c new file mode 100644 index 0000000000..9e50b2098a --- /dev/null +++ b/modules/brotli/enc/compress_fragment.c @@ -0,0 +1,790 @@ +/* Copyright 2015 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Function for fast encoding of an input fragment, independently from the input + history. This function uses one-pass processing: when we find a backward + match, we immediately emit the corresponding command and literal codes to + the bit stream. + + Adapted from the CompressFragment() function in + https://github.com/google/snappy/blob/master/snappy.cc */ + +#include "./compress_fragment.h" + +#include <string.h> /* memcmp, memcpy, memset */ + +#include "../common/constants.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./brotli_bit_stream.h" +#include "./entropy_encode.h" +#include "./fast_log.h" +#include "./find_match_length.h" +#include "./memory.h" +#include "./write_bits.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +#define MAX_DISTANCE (long)BROTLI_MAX_BACKWARD_LIMIT(18) + +/* kHashMul32 multiplier has these properties: + * The multiplier must be odd. Otherwise we may lose the highest bit. + * No long streaks of ones or zeros. + * There is no effort to ensure that it is a prime, the oddity is enough + for this use. + * The number has been tuned heuristically against compression benchmarks. */ +static const uint32_t kHashMul32 = 0x1E35A7BD; + +static BROTLI_INLINE uint32_t Hash(const uint8_t* p, size_t shift) { + const uint64_t h = (BROTLI_UNALIGNED_LOAD64LE(p) << 24) * kHashMul32; + return (uint32_t)(h >> shift); +} + +static BROTLI_INLINE uint32_t HashBytesAtOffset( + uint64_t v, int offset, size_t shift) { + BROTLI_DCHECK(offset >= 0); + BROTLI_DCHECK(offset <= 3); + { + const uint64_t h = ((v >> (8 * offset)) << 24) * kHashMul32; + return (uint32_t)(h >> shift); + } +} + +static BROTLI_INLINE BROTLI_BOOL IsMatch(const uint8_t* p1, const uint8_t* p2) { + return TO_BROTLI_BOOL( + BrotliUnalignedRead32(p1) == BrotliUnalignedRead32(p2) && + p1[4] == p2[4]); +} + +/* Builds a literal prefix code into "depths" and "bits" based on the statistics + of the "input" string and stores it into the bit stream. + Note that the prefix code here is built from the pre-LZ77 input, therefore + we can only approximate the statistics of the actual literal stream. + Moreover, for long inputs we build a histogram from a sample of the input + and thus have to assign a non-zero depth for each literal. + Returns estimated compression ratio millibytes/char for encoding given input + with generated code. */ +static size_t BuildAndStoreLiteralPrefixCode(MemoryManager* m, + const uint8_t* input, + const size_t input_size, + uint8_t depths[256], + uint16_t bits[256], + size_t* storage_ix, + uint8_t* storage) { + uint32_t histogram[256] = { 0 }; + size_t histogram_total; + size_t i; + if (input_size < (1 << 15)) { + for (i = 0; i < input_size; ++i) { + ++histogram[input[i]]; + } + histogram_total = input_size; + for (i = 0; i < 256; ++i) { + /* We weigh the first 11 samples with weight 3 to account for the + balancing effect of the LZ77 phase on the histogram. */ + const uint32_t adjust = 2 * BROTLI_MIN(uint32_t, histogram[i], 11u); + histogram[i] += adjust; + histogram_total += adjust; + } + } else { + static const size_t kSampleRate = 29; + for (i = 0; i < input_size; i += kSampleRate) { + ++histogram[input[i]]; + } + histogram_total = (input_size + kSampleRate - 1) / kSampleRate; + for (i = 0; i < 256; ++i) { + /* We add 1 to each population count to avoid 0 bit depths (since this is + only a sample and we don't know if the symbol appears or not), and we + weigh the first 11 samples with weight 3 to account for the balancing + effect of the LZ77 phase on the histogram (more frequent symbols are + more likely to be in backward references instead as literals). */ + const uint32_t adjust = 1 + 2 * BROTLI_MIN(uint32_t, histogram[i], 11u); + histogram[i] += adjust; + histogram_total += adjust; + } + } + BrotliBuildAndStoreHuffmanTreeFast(m, histogram, histogram_total, + /* max_bits = */ 8, + depths, bits, storage_ix, storage); + if (BROTLI_IS_OOM(m)) return 0; + { + size_t literal_ratio = 0; + for (i = 0; i < 256; ++i) { + if (histogram[i]) literal_ratio += histogram[i] * depths[i]; + } + /* Estimated encoding ratio, millibytes per symbol. */ + return (literal_ratio * 125) / histogram_total; + } +} + +/* Builds a command and distance prefix code (each 64 symbols) into "depth" and + "bits" based on "histogram" and stores it into the bit stream. */ +static void BuildAndStoreCommandPrefixCode(const uint32_t histogram[128], + uint8_t depth[128], uint16_t bits[128], size_t* storage_ix, + uint8_t* storage) { + /* Tree size for building a tree over 64 symbols is 2 * 64 + 1. */ + HuffmanTree tree[129]; + uint8_t cmd_depth[BROTLI_NUM_COMMAND_SYMBOLS] = { 0 }; + uint16_t cmd_bits[64]; + + BrotliCreateHuffmanTree(histogram, 64, 15, tree, depth); + BrotliCreateHuffmanTree(&histogram[64], 64, 14, tree, &depth[64]); + /* We have to jump through a few hoops here in order to compute + the command bits because the symbols are in a different order than in + the full alphabet. This looks complicated, but having the symbols + in this order in the command bits saves a few branches in the Emit* + functions. */ + memcpy(cmd_depth, depth, 24); + memcpy(cmd_depth + 24, depth + 40, 8); + memcpy(cmd_depth + 32, depth + 24, 8); + memcpy(cmd_depth + 40, depth + 48, 8); + memcpy(cmd_depth + 48, depth + 32, 8); + memcpy(cmd_depth + 56, depth + 56, 8); + BrotliConvertBitDepthsToSymbols(cmd_depth, 64, cmd_bits); + memcpy(bits, cmd_bits, 48); + memcpy(bits + 24, cmd_bits + 32, 16); + memcpy(bits + 32, cmd_bits + 48, 16); + memcpy(bits + 40, cmd_bits + 24, 16); + memcpy(bits + 48, cmd_bits + 40, 16); + memcpy(bits + 56, cmd_bits + 56, 16); + BrotliConvertBitDepthsToSymbols(&depth[64], 64, &bits[64]); + { + /* Create the bit length array for the full command alphabet. */ + size_t i; + memset(cmd_depth, 0, 64); /* only 64 first values were used */ + memcpy(cmd_depth, depth, 8); + memcpy(cmd_depth + 64, depth + 8, 8); + memcpy(cmd_depth + 128, depth + 16, 8); + memcpy(cmd_depth + 192, depth + 24, 8); + memcpy(cmd_depth + 384, depth + 32, 8); + for (i = 0; i < 8; ++i) { + cmd_depth[128 + 8 * i] = depth[40 + i]; + cmd_depth[256 + 8 * i] = depth[48 + i]; + cmd_depth[448 + 8 * i] = depth[56 + i]; + } + BrotliStoreHuffmanTree( + cmd_depth, BROTLI_NUM_COMMAND_SYMBOLS, tree, storage_ix, storage); + } + BrotliStoreHuffmanTree(&depth[64], 64, tree, storage_ix, storage); +} + +/* REQUIRES: insertlen < 6210 */ +static BROTLI_INLINE void EmitInsertLen(size_t insertlen, + const uint8_t depth[128], + const uint16_t bits[128], + uint32_t histo[128], + size_t* storage_ix, + uint8_t* storage) { + if (insertlen < 6) { + const size_t code = insertlen + 40; + BrotliWriteBits(depth[code], bits[code], storage_ix, storage); + ++histo[code]; + } else if (insertlen < 130) { + const size_t tail = insertlen - 2; + const uint32_t nbits = Log2FloorNonZero(tail) - 1u; + const size_t prefix = tail >> nbits; + const size_t inscode = (nbits << 1) + prefix + 42; + BrotliWriteBits(depth[inscode], bits[inscode], storage_ix, storage); + BrotliWriteBits(nbits, tail - (prefix << nbits), storage_ix, storage); + ++histo[inscode]; + } else if (insertlen < 2114) { + const size_t tail = insertlen - 66; + const uint32_t nbits = Log2FloorNonZero(tail); + const size_t code = nbits + 50; + BrotliWriteBits(depth[code], bits[code], storage_ix, storage); + BrotliWriteBits(nbits, tail - ((size_t)1 << nbits), storage_ix, storage); + ++histo[code]; + } else { + BrotliWriteBits(depth[61], bits[61], storage_ix, storage); + BrotliWriteBits(12, insertlen - 2114, storage_ix, storage); + ++histo[61]; + } +} + +static BROTLI_INLINE void EmitLongInsertLen(size_t insertlen, + const uint8_t depth[128], + const uint16_t bits[128], + uint32_t histo[128], + size_t* storage_ix, + uint8_t* storage) { + if (insertlen < 22594) { + BrotliWriteBits(depth[62], bits[62], storage_ix, storage); + BrotliWriteBits(14, insertlen - 6210, storage_ix, storage); + ++histo[62]; + } else { + BrotliWriteBits(depth[63], bits[63], storage_ix, storage); + BrotliWriteBits(24, insertlen - 22594, storage_ix, storage); + ++histo[63]; + } +} + +static BROTLI_INLINE void EmitCopyLen(size_t copylen, + const uint8_t depth[128], + const uint16_t bits[128], + uint32_t histo[128], + size_t* storage_ix, + uint8_t* storage) { + if (copylen < 10) { + BrotliWriteBits( + depth[copylen + 14], bits[copylen + 14], storage_ix, storage); + ++histo[copylen + 14]; + } else if (copylen < 134) { + const size_t tail = copylen - 6; + const uint32_t nbits = Log2FloorNonZero(tail) - 1u; + const size_t prefix = tail >> nbits; + const size_t code = (nbits << 1) + prefix + 20; + BrotliWriteBits(depth[code], bits[code], storage_ix, storage); + BrotliWriteBits(nbits, tail - (prefix << nbits), storage_ix, storage); + ++histo[code]; + } else if (copylen < 2118) { + const size_t tail = copylen - 70; + const uint32_t nbits = Log2FloorNonZero(tail); + const size_t code = nbits + 28; + BrotliWriteBits(depth[code], bits[code], storage_ix, storage); + BrotliWriteBits(nbits, tail - ((size_t)1 << nbits), storage_ix, storage); + ++histo[code]; + } else { + BrotliWriteBits(depth[39], bits[39], storage_ix, storage); + BrotliWriteBits(24, copylen - 2118, storage_ix, storage); + ++histo[39]; + } +} + +static BROTLI_INLINE void EmitCopyLenLastDistance(size_t copylen, + const uint8_t depth[128], + const uint16_t bits[128], + uint32_t histo[128], + size_t* storage_ix, + uint8_t* storage) { + if (copylen < 12) { + BrotliWriteBits(depth[copylen - 4], bits[copylen - 4], storage_ix, storage); + ++histo[copylen - 4]; + } else if (copylen < 72) { + const size_t tail = copylen - 8; + const uint32_t nbits = Log2FloorNonZero(tail) - 1; + const size_t prefix = tail >> nbits; + const size_t code = (nbits << 1) + prefix + 4; + BrotliWriteBits(depth[code], bits[code], storage_ix, storage); + BrotliWriteBits(nbits, tail - (prefix << nbits), storage_ix, storage); + ++histo[code]; + } else if (copylen < 136) { + const size_t tail = copylen - 8; + const size_t code = (tail >> 5) + 30; + BrotliWriteBits(depth[code], bits[code], storage_ix, storage); + BrotliWriteBits(5, tail & 31, storage_ix, storage); + BrotliWriteBits(depth[64], bits[64], storage_ix, storage); + ++histo[code]; + ++histo[64]; + } else if (copylen < 2120) { + const size_t tail = copylen - 72; + const uint32_t nbits = Log2FloorNonZero(tail); + const size_t code = nbits + 28; + BrotliWriteBits(depth[code], bits[code], storage_ix, storage); + BrotliWriteBits(nbits, tail - ((size_t)1 << nbits), storage_ix, storage); + BrotliWriteBits(depth[64], bits[64], storage_ix, storage); + ++histo[code]; + ++histo[64]; + } else { + BrotliWriteBits(depth[39], bits[39], storage_ix, storage); + BrotliWriteBits(24, copylen - 2120, storage_ix, storage); + BrotliWriteBits(depth[64], bits[64], storage_ix, storage); + ++histo[39]; + ++histo[64]; + } +} + +static BROTLI_INLINE void EmitDistance(size_t distance, + const uint8_t depth[128], + const uint16_t bits[128], + uint32_t histo[128], + size_t* storage_ix, uint8_t* storage) { + const size_t d = distance + 3; + const uint32_t nbits = Log2FloorNonZero(d) - 1u; + const size_t prefix = (d >> nbits) & 1; + const size_t offset = (2 + prefix) << nbits; + const size_t distcode = 2 * (nbits - 1) + prefix + 80; + BrotliWriteBits(depth[distcode], bits[distcode], storage_ix, storage); + BrotliWriteBits(nbits, d - offset, storage_ix, storage); + ++histo[distcode]; +} + +static BROTLI_INLINE void EmitLiterals(const uint8_t* input, const size_t len, + const uint8_t depth[256], + const uint16_t bits[256], + size_t* storage_ix, uint8_t* storage) { + size_t j; + for (j = 0; j < len; j++) { + const uint8_t lit = input[j]; + BrotliWriteBits(depth[lit], bits[lit], storage_ix, storage); + } +} + +/* REQUIRES: len <= 1 << 24. */ +static void BrotliStoreMetaBlockHeader( + size_t len, BROTLI_BOOL is_uncompressed, size_t* storage_ix, + uint8_t* storage) { + size_t nibbles = 6; + /* ISLAST */ + BrotliWriteBits(1, 0, storage_ix, storage); + if (len <= (1U << 16)) { + nibbles = 4; + } else if (len <= (1U << 20)) { + nibbles = 5; + } + BrotliWriteBits(2, nibbles - 4, storage_ix, storage); + BrotliWriteBits(nibbles * 4, len - 1, storage_ix, storage); + /* ISUNCOMPRESSED */ + BrotliWriteBits(1, (uint64_t)is_uncompressed, storage_ix, storage); +} + +static void UpdateBits(size_t n_bits, uint32_t bits, size_t pos, + uint8_t* array) { + while (n_bits > 0) { + size_t byte_pos = pos >> 3; + size_t n_unchanged_bits = pos & 7; + size_t n_changed_bits = BROTLI_MIN(size_t, n_bits, 8 - n_unchanged_bits); + size_t total_bits = n_unchanged_bits + n_changed_bits; + uint32_t mask = + (~((1u << total_bits) - 1u)) | ((1u << n_unchanged_bits) - 1u); + uint32_t unchanged_bits = array[byte_pos] & mask; + uint32_t changed_bits = bits & ((1u << n_changed_bits) - 1u); + array[byte_pos] = + (uint8_t)((changed_bits << n_unchanged_bits) | unchanged_bits); + n_bits -= n_changed_bits; + bits >>= n_changed_bits; + pos += n_changed_bits; + } +} + +static void RewindBitPosition(const size_t new_storage_ix, + size_t* storage_ix, uint8_t* storage) { + const size_t bitpos = new_storage_ix & 7; + const size_t mask = (1u << bitpos) - 1; + storage[new_storage_ix >> 3] &= (uint8_t)mask; + *storage_ix = new_storage_ix; +} + +static BROTLI_BOOL ShouldMergeBlock( + const uint8_t* data, size_t len, const uint8_t* depths) { + size_t histo[256] = { 0 }; + static const size_t kSampleRate = 43; + size_t i; + for (i = 0; i < len; i += kSampleRate) { + ++histo[data[i]]; + } + { + const size_t total = (len + kSampleRate - 1) / kSampleRate; + double r = (FastLog2(total) + 0.5) * (double)total + 200; + for (i = 0; i < 256; ++i) { + r -= (double)histo[i] * (depths[i] + FastLog2(histo[i])); + } + return TO_BROTLI_BOOL(r >= 0.0); + } +} + +/* Acceptable loss for uncompressible speedup is 2% */ +#define MIN_RATIO 980 + +static BROTLI_INLINE BROTLI_BOOL ShouldUseUncompressedMode( + const uint8_t* metablock_start, const uint8_t* next_emit, + const size_t insertlen, const size_t literal_ratio) { + const size_t compressed = (size_t)(next_emit - metablock_start); + if (compressed * 50 > insertlen) { + return BROTLI_FALSE; + } else { + return TO_BROTLI_BOOL(literal_ratio > MIN_RATIO); + } +} + +static void EmitUncompressedMetaBlock(const uint8_t* begin, const uint8_t* end, + const size_t storage_ix_start, + size_t* storage_ix, uint8_t* storage) { + const size_t len = (size_t)(end - begin); + RewindBitPosition(storage_ix_start, storage_ix, storage); + BrotliStoreMetaBlockHeader(len, 1, storage_ix, storage); + *storage_ix = (*storage_ix + 7u) & ~7u; + memcpy(&storage[*storage_ix >> 3], begin, len); + *storage_ix += len << 3; + storage[*storage_ix >> 3] = 0; +} + +static uint32_t kCmdHistoSeed[128] = { + 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 0, 0, 0, 0, +}; + +static BROTLI_INLINE void BrotliCompressFragmentFastImpl( + MemoryManager* m, const uint8_t* input, size_t input_size, + BROTLI_BOOL is_last, int* table, size_t table_bits, uint8_t cmd_depth[128], + uint16_t cmd_bits[128], size_t* cmd_code_numbits, uint8_t* cmd_code, + size_t* storage_ix, uint8_t* storage) { + uint32_t cmd_histo[128]; + const uint8_t* ip_end; + + /* "next_emit" is a pointer to the first byte that is not covered by a + previous copy. Bytes between "next_emit" and the start of the next copy or + the end of the input will be emitted as literal bytes. */ + const uint8_t* next_emit = input; + /* Save the start of the first block for position and distance computations. + */ + const uint8_t* base_ip = input; + + static const size_t kFirstBlockSize = 3 << 15; + static const size_t kMergeBlockSize = 1 << 16; + + const size_t kInputMarginBytes = BROTLI_WINDOW_GAP; + const size_t kMinMatchLen = 5; + + const uint8_t* metablock_start = input; + size_t block_size = BROTLI_MIN(size_t, input_size, kFirstBlockSize); + size_t total_block_size = block_size; + /* Save the bit position of the MLEN field of the meta-block header, so that + we can update it later if we decide to extend this meta-block. */ + size_t mlen_storage_ix = *storage_ix + 3; + + uint8_t lit_depth[256]; + uint16_t lit_bits[256]; + + size_t literal_ratio; + + const uint8_t* ip; + int last_distance; + + const size_t shift = 64u - table_bits; + + BrotliStoreMetaBlockHeader(block_size, 0, storage_ix, storage); + /* No block splits, no contexts. */ + BrotliWriteBits(13, 0, storage_ix, storage); + + literal_ratio = BuildAndStoreLiteralPrefixCode( + m, input, block_size, lit_depth, lit_bits, storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + + { + /* Store the pre-compressed command and distance prefix codes. */ + size_t i; + for (i = 0; i + 7 < *cmd_code_numbits; i += 8) { + BrotliWriteBits(8, cmd_code[i >> 3], storage_ix, storage); + } + } + BrotliWriteBits(*cmd_code_numbits & 7, cmd_code[*cmd_code_numbits >> 3], + storage_ix, storage); + + emit_commands: + /* Initialize the command and distance histograms. We will gather + statistics of command and distance codes during the processing + of this block and use it to update the command and distance + prefix codes for the next block. */ + memcpy(cmd_histo, kCmdHistoSeed, sizeof(kCmdHistoSeed)); + + /* "ip" is the input pointer. */ + ip = input; + last_distance = -1; + ip_end = input + block_size; + + if (BROTLI_PREDICT_TRUE(block_size >= kInputMarginBytes)) { + /* For the last block, we need to keep a 16 bytes margin so that we can be + sure that all distances are at most window size - 16. + For all other blocks, we only need to keep a margin of 5 bytes so that + we don't go over the block size with a copy. */ + const size_t len_limit = BROTLI_MIN(size_t, block_size - kMinMatchLen, + input_size - kInputMarginBytes); + const uint8_t* ip_limit = input + len_limit; + + uint32_t next_hash; + for (next_hash = Hash(++ip, shift); ; ) { + /* Step 1: Scan forward in the input looking for a 5-byte-long match. + If we get close to exhausting the input then goto emit_remainder. + + Heuristic match skipping: If 32 bytes are scanned with no matches + found, start looking only at every other byte. If 32 more bytes are + scanned, look at every third byte, etc.. When a match is found, + immediately go back to looking at every byte. This is a small loss + (~5% performance, ~0.1% density) for compressible data due to more + bookkeeping, but for non-compressible data (such as JPEG) it's a huge + win since the compressor quickly "realizes" the data is incompressible + and doesn't bother looking for matches everywhere. + + The "skip" variable keeps track of how many bytes there are since the + last match; dividing it by 32 (i.e. right-shifting by five) gives the + number of bytes to move ahead for each iteration. */ + uint32_t skip = 32; + + const uint8_t* next_ip = ip; + const uint8_t* candidate; + BROTLI_DCHECK(next_emit < ip); +trawl: + do { + uint32_t hash = next_hash; + uint32_t bytes_between_hash_lookups = skip++ >> 5; + BROTLI_DCHECK(hash == Hash(next_ip, shift)); + ip = next_ip; + next_ip = ip + bytes_between_hash_lookups; + if (BROTLI_PREDICT_FALSE(next_ip > ip_limit)) { + goto emit_remainder; + } + next_hash = Hash(next_ip, shift); + candidate = ip - last_distance; + if (IsMatch(ip, candidate)) { + if (BROTLI_PREDICT_TRUE(candidate < ip)) { + table[hash] = (int)(ip - base_ip); + break; + } + } + candidate = base_ip + table[hash]; + BROTLI_DCHECK(candidate >= base_ip); + BROTLI_DCHECK(candidate < ip); + + table[hash] = (int)(ip - base_ip); + } while (BROTLI_PREDICT_TRUE(!IsMatch(ip, candidate))); + + /* Check copy distance. If candidate is not feasible, continue search. + Checking is done outside of hot loop to reduce overhead. */ + if (ip - candidate > MAX_DISTANCE) goto trawl; + + /* Step 2: Emit the found match together with the literal bytes from + "next_emit" to the bit stream, and then see if we can find a next match + immediately afterwards. Repeat until we find no match for the input + without emitting some literal bytes. */ + + { + /* We have a 5-byte match at ip, and we need to emit bytes in + [next_emit, ip). */ + const uint8_t* base = ip; + size_t matched = 5 + FindMatchLengthWithLimit( + candidate + 5, ip + 5, (size_t)(ip_end - ip) - 5); + int distance = (int)(base - candidate); /* > 0 */ + size_t insert = (size_t)(base - next_emit); + ip += matched; + BROTLI_DCHECK(0 == memcmp(base, candidate, matched)); + if (BROTLI_PREDICT_TRUE(insert < 6210)) { + EmitInsertLen(insert, cmd_depth, cmd_bits, cmd_histo, + storage_ix, storage); + } else if (ShouldUseUncompressedMode(metablock_start, next_emit, insert, + literal_ratio)) { + EmitUncompressedMetaBlock(metablock_start, base, mlen_storage_ix - 3, + storage_ix, storage); + input_size -= (size_t)(base - input); + input = base; + next_emit = input; + goto next_block; + } else { + EmitLongInsertLen(insert, cmd_depth, cmd_bits, cmd_histo, + storage_ix, storage); + } + EmitLiterals(next_emit, insert, lit_depth, lit_bits, + storage_ix, storage); + if (distance == last_distance) { + BrotliWriteBits(cmd_depth[64], cmd_bits[64], storage_ix, storage); + ++cmd_histo[64]; + } else { + EmitDistance((size_t)distance, cmd_depth, cmd_bits, + cmd_histo, storage_ix, storage); + last_distance = distance; + } + EmitCopyLenLastDistance(matched, cmd_depth, cmd_bits, cmd_histo, + storage_ix, storage); + + next_emit = ip; + if (BROTLI_PREDICT_FALSE(ip >= ip_limit)) { + goto emit_remainder; + } + /* We could immediately start working at ip now, but to improve + compression we first update "table" with the hashes of some positions + within the last copy. */ + { + uint64_t input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 3); + uint32_t prev_hash = HashBytesAtOffset(input_bytes, 0, shift); + uint32_t cur_hash = HashBytesAtOffset(input_bytes, 3, shift); + table[prev_hash] = (int)(ip - base_ip - 3); + prev_hash = HashBytesAtOffset(input_bytes, 1, shift); + table[prev_hash] = (int)(ip - base_ip - 2); + prev_hash = HashBytesAtOffset(input_bytes, 2, shift); + table[prev_hash] = (int)(ip - base_ip - 1); + + candidate = base_ip + table[cur_hash]; + table[cur_hash] = (int)(ip - base_ip); + } + } + + while (IsMatch(ip, candidate)) { + /* We have a 5-byte match at ip, and no need to emit any literal bytes + prior to ip. */ + const uint8_t* base = ip; + size_t matched = 5 + FindMatchLengthWithLimit( + candidate + 5, ip + 5, (size_t)(ip_end - ip) - 5); + if (ip - candidate > MAX_DISTANCE) break; + ip += matched; + last_distance = (int)(base - candidate); /* > 0 */ + BROTLI_DCHECK(0 == memcmp(base, candidate, matched)); + EmitCopyLen(matched, cmd_depth, cmd_bits, cmd_histo, + storage_ix, storage); + EmitDistance((size_t)last_distance, cmd_depth, cmd_bits, + cmd_histo, storage_ix, storage); + + next_emit = ip; + if (BROTLI_PREDICT_FALSE(ip >= ip_limit)) { + goto emit_remainder; + } + /* We could immediately start working at ip now, but to improve + compression we first update "table" with the hashes of some positions + within the last copy. */ + { + uint64_t input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 3); + uint32_t prev_hash = HashBytesAtOffset(input_bytes, 0, shift); + uint32_t cur_hash = HashBytesAtOffset(input_bytes, 3, shift); + table[prev_hash] = (int)(ip - base_ip - 3); + prev_hash = HashBytesAtOffset(input_bytes, 1, shift); + table[prev_hash] = (int)(ip - base_ip - 2); + prev_hash = HashBytesAtOffset(input_bytes, 2, shift); + table[prev_hash] = (int)(ip - base_ip - 1); + + candidate = base_ip + table[cur_hash]; + table[cur_hash] = (int)(ip - base_ip); + } + } + + next_hash = Hash(++ip, shift); + } + } + + emit_remainder: + BROTLI_DCHECK(next_emit <= ip_end); + input += block_size; + input_size -= block_size; + block_size = BROTLI_MIN(size_t, input_size, kMergeBlockSize); + + /* Decide if we want to continue this meta-block instead of emitting the + last insert-only command. */ + if (input_size > 0 && + total_block_size + block_size <= (1 << 20) && + ShouldMergeBlock(input, block_size, lit_depth)) { + BROTLI_DCHECK(total_block_size > (1 << 16)); + /* Update the size of the current meta-block and continue emitting commands. + We can do this because the current size and the new size both have 5 + nibbles. */ + total_block_size += block_size; + UpdateBits(20, (uint32_t)(total_block_size - 1), mlen_storage_ix, storage); + goto emit_commands; + } + + /* Emit the remaining bytes as literals. */ + if (next_emit < ip_end) { + const size_t insert = (size_t)(ip_end - next_emit); + if (BROTLI_PREDICT_TRUE(insert < 6210)) { + EmitInsertLen(insert, cmd_depth, cmd_bits, cmd_histo, + storage_ix, storage); + EmitLiterals(next_emit, insert, lit_depth, lit_bits, storage_ix, storage); + } else if (ShouldUseUncompressedMode(metablock_start, next_emit, insert, + literal_ratio)) { + EmitUncompressedMetaBlock(metablock_start, ip_end, mlen_storage_ix - 3, + storage_ix, storage); + } else { + EmitLongInsertLen(insert, cmd_depth, cmd_bits, cmd_histo, + storage_ix, storage); + EmitLiterals(next_emit, insert, lit_depth, lit_bits, + storage_ix, storage); + } + } + next_emit = ip_end; + +next_block: + /* If we have more data, write a new meta-block header and prefix codes and + then continue emitting commands. */ + if (input_size > 0) { + metablock_start = input; + block_size = BROTLI_MIN(size_t, input_size, kFirstBlockSize); + total_block_size = block_size; + /* Save the bit position of the MLEN field of the meta-block header, so that + we can update it later if we decide to extend this meta-block. */ + mlen_storage_ix = *storage_ix + 3; + BrotliStoreMetaBlockHeader(block_size, 0, storage_ix, storage); + /* No block splits, no contexts. */ + BrotliWriteBits(13, 0, storage_ix, storage); + literal_ratio = BuildAndStoreLiteralPrefixCode( + m, input, block_size, lit_depth, lit_bits, storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + BuildAndStoreCommandPrefixCode(cmd_histo, cmd_depth, cmd_bits, + storage_ix, storage); + goto emit_commands; + } + + if (!is_last) { + /* If this is not the last block, update the command and distance prefix + codes for the next block and store the compressed forms. */ + cmd_code[0] = 0; + *cmd_code_numbits = 0; + BuildAndStoreCommandPrefixCode(cmd_histo, cmd_depth, cmd_bits, + cmd_code_numbits, cmd_code); + } +} + +#define FOR_TABLE_BITS_(X) X(9) X(11) X(13) X(15) + +#define BAKE_METHOD_PARAM_(B) \ +static BROTLI_NOINLINE void BrotliCompressFragmentFastImpl ## B( \ + MemoryManager* m, const uint8_t* input, size_t input_size, \ + BROTLI_BOOL is_last, int* table, uint8_t cmd_depth[128], \ + uint16_t cmd_bits[128], size_t* cmd_code_numbits, uint8_t* cmd_code, \ + size_t* storage_ix, uint8_t* storage) { \ + BrotliCompressFragmentFastImpl(m, input, input_size, is_last, table, B, \ + cmd_depth, cmd_bits, cmd_code_numbits, cmd_code, storage_ix, storage); \ +} +FOR_TABLE_BITS_(BAKE_METHOD_PARAM_) +#undef BAKE_METHOD_PARAM_ + +void BrotliCompressFragmentFast( + MemoryManager* m, const uint8_t* input, size_t input_size, + BROTLI_BOOL is_last, int* table, size_t table_size, uint8_t cmd_depth[128], + uint16_t cmd_bits[128], size_t* cmd_code_numbits, uint8_t* cmd_code, + size_t* storage_ix, uint8_t* storage) { + const size_t initial_storage_ix = *storage_ix; + const size_t table_bits = Log2FloorNonZero(table_size); + + if (input_size == 0) { + BROTLI_DCHECK(is_last); + BrotliWriteBits(1, 1, storage_ix, storage); /* islast */ + BrotliWriteBits(1, 1, storage_ix, storage); /* isempty */ + *storage_ix = (*storage_ix + 7u) & ~7u; + return; + } + + switch (table_bits) { +#define CASE_(B) \ + case B: \ + BrotliCompressFragmentFastImpl ## B( \ + m, input, input_size, is_last, table, cmd_depth, cmd_bits, \ + cmd_code_numbits, cmd_code, storage_ix, storage); \ + break; + FOR_TABLE_BITS_(CASE_) +#undef CASE_ + default: BROTLI_DCHECK(0); break; + } + + /* If output is larger than single uncompressed block, rewrite it. */ + if (*storage_ix - initial_storage_ix > 31 + (input_size << 3)) { + EmitUncompressedMetaBlock(input, input + input_size, initial_storage_ix, + storage_ix, storage); + } + + if (is_last) { + BrotliWriteBits(1, 1, storage_ix, storage); /* islast */ + BrotliWriteBits(1, 1, storage_ix, storage); /* isempty */ + *storage_ix = (*storage_ix + 7u) & ~7u; + } +} + +#undef FOR_TABLE_BITS_ + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/compress_fragment.h b/modules/brotli/enc/compress_fragment.h new file mode 100644 index 0000000000..80007f5dca --- /dev/null +++ b/modules/brotli/enc/compress_fragment.h @@ -0,0 +1,61 @@ +/* Copyright 2015 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Function for fast encoding of an input fragment, independently from the input + history. This function uses one-pass processing: when we find a backward + match, we immediately emit the corresponding command and literal codes to + the bit stream. */ + +#ifndef BROTLI_ENC_COMPRESS_FRAGMENT_H_ +#define BROTLI_ENC_COMPRESS_FRAGMENT_H_ + +#include "../common/platform.h" +#include <brotli/types.h> +#include "./memory.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* Compresses "input" string to the "*storage" buffer as one or more complete + meta-blocks, and updates the "*storage_ix" bit position. + + If "is_last" is 1, emits an additional empty last meta-block. + + "cmd_depth" and "cmd_bits" contain the command and distance prefix codes + (see comment in encode.h) used for the encoding of this input fragment. + If "is_last" is 0, they are updated to reflect the statistics + of this input fragment, to be used for the encoding of the next fragment. + + "*cmd_code_numbits" is the number of bits of the compressed representation + of the command and distance prefix codes, and "cmd_code" is an array of + at least "(*cmd_code_numbits + 7) >> 3" size that contains the compressed + command and distance prefix codes. If "is_last" is 0, these are also + updated to represent the updated "cmd_depth" and "cmd_bits". + + REQUIRES: "input_size" is greater than zero, or "is_last" is 1. + REQUIRES: "input_size" is less or equal to maximal metablock size (1 << 24). + REQUIRES: All elements in "table[0..table_size-1]" are initialized to zero. + REQUIRES: "table_size" is an odd (9, 11, 13, 15) power of two + OUTPUT: maximal copy distance <= |input_size| + OUTPUT: maximal copy distance <= BROTLI_MAX_BACKWARD_LIMIT(18) */ +BROTLI_INTERNAL void BrotliCompressFragmentFast(MemoryManager* m, + const uint8_t* input, + size_t input_size, + BROTLI_BOOL is_last, + int* table, size_t table_size, + uint8_t cmd_depth[128], + uint16_t cmd_bits[128], + size_t* cmd_code_numbits, + uint8_t* cmd_code, + size_t* storage_ix, + uint8_t* storage); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_COMPRESS_FRAGMENT_H_ */ diff --git a/modules/brotli/enc/compress_fragment_two_pass.c b/modules/brotli/enc/compress_fragment_two_pass.c new file mode 100644 index 0000000000..ca68b38139 --- /dev/null +++ b/modules/brotli/enc/compress_fragment_two_pass.c @@ -0,0 +1,645 @@ +/* Copyright 2015 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Function for fast encoding of an input fragment, independently from the input + history. This function uses two-pass processing: in the first pass we save + the found backward matches and literal bytes into a buffer, and in the + second pass we emit them into the bit stream using prefix codes built based + on the actual command and literal byte histograms. */ + +#include "./compress_fragment_two_pass.h" + +#include <string.h> /* memcmp, memcpy, memset */ + +#include "../common/constants.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./bit_cost.h" +#include "./brotli_bit_stream.h" +#include "./entropy_encode.h" +#include "./fast_log.h" +#include "./find_match_length.h" +#include "./memory.h" +#include "./write_bits.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +#define MAX_DISTANCE (long)BROTLI_MAX_BACKWARD_LIMIT(18) + +/* kHashMul32 multiplier has these properties: + * The multiplier must be odd. Otherwise we may lose the highest bit. + * No long streaks of ones or zeros. + * There is no effort to ensure that it is a prime, the oddity is enough + for this use. + * The number has been tuned heuristically against compression benchmarks. */ +static const uint32_t kHashMul32 = 0x1E35A7BD; + +static BROTLI_INLINE uint32_t Hash(const uint8_t* p, + size_t shift, size_t length) { + const uint64_t h = + (BROTLI_UNALIGNED_LOAD64LE(p) << ((8 - length) * 8)) * kHashMul32; + return (uint32_t)(h >> shift); +} + +static BROTLI_INLINE uint32_t HashBytesAtOffset(uint64_t v, size_t offset, + size_t shift, size_t length) { + BROTLI_DCHECK(offset <= 8 - length); + { + const uint64_t h = ((v >> (8 * offset)) << ((8 - length) * 8)) * kHashMul32; + return (uint32_t)(h >> shift); + } +} + +static BROTLI_INLINE BROTLI_BOOL IsMatch(const uint8_t* p1, const uint8_t* p2, + size_t length) { + if (BrotliUnalignedRead32(p1) == BrotliUnalignedRead32(p2)) { + if (length == 4) return BROTLI_TRUE; + return TO_BROTLI_BOOL(p1[4] == p2[4] && p1[5] == p2[5]); + } + return BROTLI_FALSE; +} + +/* Builds a command and distance prefix code (each 64 symbols) into "depth" and + "bits" based on "histogram" and stores it into the bit stream. */ +static void BuildAndStoreCommandPrefixCode( + const uint32_t histogram[128], + uint8_t depth[128], uint16_t bits[128], + size_t* storage_ix, uint8_t* storage) { + /* Tree size for building a tree over 64 symbols is 2 * 64 + 1. */ + HuffmanTree tree[129]; + uint8_t cmd_depth[BROTLI_NUM_COMMAND_SYMBOLS] = { 0 }; + uint16_t cmd_bits[64]; + BrotliCreateHuffmanTree(histogram, 64, 15, tree, depth); + BrotliCreateHuffmanTree(&histogram[64], 64, 14, tree, &depth[64]); + /* We have to jump through a few hoops here in order to compute + the command bits because the symbols are in a different order than in + the full alphabet. This looks complicated, but having the symbols + in this order in the command bits saves a few branches in the Emit* + functions. */ + memcpy(cmd_depth, depth + 24, 24); + memcpy(cmd_depth + 24, depth, 8); + memcpy(cmd_depth + 32, depth + 48, 8); + memcpy(cmd_depth + 40, depth + 8, 8); + memcpy(cmd_depth + 48, depth + 56, 8); + memcpy(cmd_depth + 56, depth + 16, 8); + BrotliConvertBitDepthsToSymbols(cmd_depth, 64, cmd_bits); + memcpy(bits, cmd_bits + 24, 16); + memcpy(bits + 8, cmd_bits + 40, 16); + memcpy(bits + 16, cmd_bits + 56, 16); + memcpy(bits + 24, cmd_bits, 48); + memcpy(bits + 48, cmd_bits + 32, 16); + memcpy(bits + 56, cmd_bits + 48, 16); + BrotliConvertBitDepthsToSymbols(&depth[64], 64, &bits[64]); + { + /* Create the bit length array for the full command alphabet. */ + size_t i; + memset(cmd_depth, 0, 64); /* only 64 first values were used */ + memcpy(cmd_depth, depth + 24, 8); + memcpy(cmd_depth + 64, depth + 32, 8); + memcpy(cmd_depth + 128, depth + 40, 8); + memcpy(cmd_depth + 192, depth + 48, 8); + memcpy(cmd_depth + 384, depth + 56, 8); + for (i = 0; i < 8; ++i) { + cmd_depth[128 + 8 * i] = depth[i]; + cmd_depth[256 + 8 * i] = depth[8 + i]; + cmd_depth[448 + 8 * i] = depth[16 + i]; + } + BrotliStoreHuffmanTree( + cmd_depth, BROTLI_NUM_COMMAND_SYMBOLS, tree, storage_ix, storage); + } + BrotliStoreHuffmanTree(&depth[64], 64, tree, storage_ix, storage); +} + +static BROTLI_INLINE void EmitInsertLen( + uint32_t insertlen, uint32_t** commands) { + if (insertlen < 6) { + **commands = insertlen; + } else if (insertlen < 130) { + const uint32_t tail = insertlen - 2; + const uint32_t nbits = Log2FloorNonZero(tail) - 1u; + const uint32_t prefix = tail >> nbits; + const uint32_t inscode = (nbits << 1) + prefix + 2; + const uint32_t extra = tail - (prefix << nbits); + **commands = inscode | (extra << 8); + } else if (insertlen < 2114) { + const uint32_t tail = insertlen - 66; + const uint32_t nbits = Log2FloorNonZero(tail); + const uint32_t code = nbits + 10; + const uint32_t extra = tail - (1u << nbits); + **commands = code | (extra << 8); + } else if (insertlen < 6210) { + const uint32_t extra = insertlen - 2114; + **commands = 21 | (extra << 8); + } else if (insertlen < 22594) { + const uint32_t extra = insertlen - 6210; + **commands = 22 | (extra << 8); + } else { + const uint32_t extra = insertlen - 22594; + **commands = 23 | (extra << 8); + } + ++(*commands); +} + +static BROTLI_INLINE void EmitCopyLen(size_t copylen, uint32_t** commands) { + if (copylen < 10) { + **commands = (uint32_t)(copylen + 38); + } else if (copylen < 134) { + const size_t tail = copylen - 6; + const size_t nbits = Log2FloorNonZero(tail) - 1; + const size_t prefix = tail >> nbits; + const size_t code = (nbits << 1) + prefix + 44; + const size_t extra = tail - (prefix << nbits); + **commands = (uint32_t)(code | (extra << 8)); + } else if (copylen < 2118) { + const size_t tail = copylen - 70; + const size_t nbits = Log2FloorNonZero(tail); + const size_t code = nbits + 52; + const size_t extra = tail - ((size_t)1 << nbits); + **commands = (uint32_t)(code | (extra << 8)); + } else { + const size_t extra = copylen - 2118; + **commands = (uint32_t)(63 | (extra << 8)); + } + ++(*commands); +} + +static BROTLI_INLINE void EmitCopyLenLastDistance( + size_t copylen, uint32_t** commands) { + if (copylen < 12) { + **commands = (uint32_t)(copylen + 20); + ++(*commands); + } else if (copylen < 72) { + const size_t tail = copylen - 8; + const size_t nbits = Log2FloorNonZero(tail) - 1; + const size_t prefix = tail >> nbits; + const size_t code = (nbits << 1) + prefix + 28; + const size_t extra = tail - (prefix << nbits); + **commands = (uint32_t)(code | (extra << 8)); + ++(*commands); + } else if (copylen < 136) { + const size_t tail = copylen - 8; + const size_t code = (tail >> 5) + 54; + const size_t extra = tail & 31; + **commands = (uint32_t)(code | (extra << 8)); + ++(*commands); + **commands = 64; + ++(*commands); + } else if (copylen < 2120) { + const size_t tail = copylen - 72; + const size_t nbits = Log2FloorNonZero(tail); + const size_t code = nbits + 52; + const size_t extra = tail - ((size_t)1 << nbits); + **commands = (uint32_t)(code | (extra << 8)); + ++(*commands); + **commands = 64; + ++(*commands); + } else { + const size_t extra = copylen - 2120; + **commands = (uint32_t)(63 | (extra << 8)); + ++(*commands); + **commands = 64; + ++(*commands); + } +} + +static BROTLI_INLINE void EmitDistance(uint32_t distance, uint32_t** commands) { + uint32_t d = distance + 3; + uint32_t nbits = Log2FloorNonZero(d) - 1; + const uint32_t prefix = (d >> nbits) & 1; + const uint32_t offset = (2 + prefix) << nbits; + const uint32_t distcode = 2 * (nbits - 1) + prefix + 80; + uint32_t extra = d - offset; + **commands = distcode | (extra << 8); + ++(*commands); +} + +/* REQUIRES: len <= 1 << 24. */ +static void BrotliStoreMetaBlockHeader( + size_t len, BROTLI_BOOL is_uncompressed, size_t* storage_ix, + uint8_t* storage) { + size_t nibbles = 6; + /* ISLAST */ + BrotliWriteBits(1, 0, storage_ix, storage); + if (len <= (1U << 16)) { + nibbles = 4; + } else if (len <= (1U << 20)) { + nibbles = 5; + } + BrotliWriteBits(2, nibbles - 4, storage_ix, storage); + BrotliWriteBits(nibbles * 4, len - 1, storage_ix, storage); + /* ISUNCOMPRESSED */ + BrotliWriteBits(1, (uint64_t)is_uncompressed, storage_ix, storage); +} + +static BROTLI_INLINE void CreateCommands(const uint8_t* input, + size_t block_size, size_t input_size, const uint8_t* base_ip, int* table, + size_t table_bits, size_t min_match, + uint8_t** literals, uint32_t** commands) { + /* "ip" is the input pointer. */ + const uint8_t* ip = input; + const size_t shift = 64u - table_bits; + const uint8_t* ip_end = input + block_size; + /* "next_emit" is a pointer to the first byte that is not covered by a + previous copy. Bytes between "next_emit" and the start of the next copy or + the end of the input will be emitted as literal bytes. */ + const uint8_t* next_emit = input; + + int last_distance = -1; + const size_t kInputMarginBytes = BROTLI_WINDOW_GAP; + + if (BROTLI_PREDICT_TRUE(block_size >= kInputMarginBytes)) { + /* For the last block, we need to keep a 16 bytes margin so that we can be + sure that all distances are at most window size - 16. + For all other blocks, we only need to keep a margin of 5 bytes so that + we don't go over the block size with a copy. */ + const size_t len_limit = BROTLI_MIN(size_t, block_size - min_match, + input_size - kInputMarginBytes); + const uint8_t* ip_limit = input + len_limit; + + uint32_t next_hash; + for (next_hash = Hash(++ip, shift, min_match); ; ) { + /* Step 1: Scan forward in the input looking for a 6-byte-long match. + If we get close to exhausting the input then goto emit_remainder. + + Heuristic match skipping: If 32 bytes are scanned with no matches + found, start looking only at every other byte. If 32 more bytes are + scanned, look at every third byte, etc.. When a match is found, + immediately go back to looking at every byte. This is a small loss + (~5% performance, ~0.1% density) for compressible data due to more + bookkeeping, but for non-compressible data (such as JPEG) it's a huge + win since the compressor quickly "realizes" the data is incompressible + and doesn't bother looking for matches everywhere. + + The "skip" variable keeps track of how many bytes there are since the + last match; dividing it by 32 (ie. right-shifting by five) gives the + number of bytes to move ahead for each iteration. */ + uint32_t skip = 32; + + const uint8_t* next_ip = ip; + const uint8_t* candidate; + + BROTLI_DCHECK(next_emit < ip); +trawl: + do { + uint32_t hash = next_hash; + uint32_t bytes_between_hash_lookups = skip++ >> 5; + ip = next_ip; + BROTLI_DCHECK(hash == Hash(ip, shift, min_match)); + next_ip = ip + bytes_between_hash_lookups; + if (BROTLI_PREDICT_FALSE(next_ip > ip_limit)) { + goto emit_remainder; + } + next_hash = Hash(next_ip, shift, min_match); + candidate = ip - last_distance; + if (IsMatch(ip, candidate, min_match)) { + if (BROTLI_PREDICT_TRUE(candidate < ip)) { + table[hash] = (int)(ip - base_ip); + break; + } + } + candidate = base_ip + table[hash]; + BROTLI_DCHECK(candidate >= base_ip); + BROTLI_DCHECK(candidate < ip); + + table[hash] = (int)(ip - base_ip); + } while (BROTLI_PREDICT_TRUE(!IsMatch(ip, candidate, min_match))); + + /* Check copy distance. If candidate is not feasible, continue search. + Checking is done outside of hot loop to reduce overhead. */ + if (ip - candidate > MAX_DISTANCE) goto trawl; + + /* Step 2: Emit the found match together with the literal bytes from + "next_emit", and then see if we can find a next match immediately + afterwards. Repeat until we find no match for the input + without emitting some literal bytes. */ + + { + /* We have a 6-byte match at ip, and we need to emit bytes in + [next_emit, ip). */ + const uint8_t* base = ip; + size_t matched = min_match + FindMatchLengthWithLimit( + candidate + min_match, ip + min_match, + (size_t)(ip_end - ip) - min_match); + int distance = (int)(base - candidate); /* > 0 */ + int insert = (int)(base - next_emit); + ip += matched; + BROTLI_DCHECK(0 == memcmp(base, candidate, matched)); + EmitInsertLen((uint32_t)insert, commands); + memcpy(*literals, next_emit, (size_t)insert); + *literals += insert; + if (distance == last_distance) { + **commands = 64; + ++(*commands); + } else { + EmitDistance((uint32_t)distance, commands); + last_distance = distance; + } + EmitCopyLenLastDistance(matched, commands); + + next_emit = ip; + if (BROTLI_PREDICT_FALSE(ip >= ip_limit)) { + goto emit_remainder; + } + { + /* We could immediately start working at ip now, but to improve + compression we first update "table" with the hashes of some + positions within the last copy. */ + uint64_t input_bytes; + uint32_t cur_hash; + uint32_t prev_hash; + if (min_match == 4) { + input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 3); + cur_hash = HashBytesAtOffset(input_bytes, 3, shift, min_match); + prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 3); + prev_hash = HashBytesAtOffset(input_bytes, 1, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 2); + prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 1); + } else { + input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 5); + prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 5); + prev_hash = HashBytesAtOffset(input_bytes, 1, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 4); + prev_hash = HashBytesAtOffset(input_bytes, 2, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 3); + input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 2); + cur_hash = HashBytesAtOffset(input_bytes, 2, shift, min_match); + prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 2); + prev_hash = HashBytesAtOffset(input_bytes, 1, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 1); + } + + candidate = base_ip + table[cur_hash]; + table[cur_hash] = (int)(ip - base_ip); + } + } + + while (ip - candidate <= MAX_DISTANCE && + IsMatch(ip, candidate, min_match)) { + /* We have a 6-byte match at ip, and no need to emit any + literal bytes prior to ip. */ + const uint8_t* base = ip; + size_t matched = min_match + FindMatchLengthWithLimit( + candidate + min_match, ip + min_match, + (size_t)(ip_end - ip) - min_match); + ip += matched; + last_distance = (int)(base - candidate); /* > 0 */ + BROTLI_DCHECK(0 == memcmp(base, candidate, matched)); + EmitCopyLen(matched, commands); + EmitDistance((uint32_t)last_distance, commands); + + next_emit = ip; + if (BROTLI_PREDICT_FALSE(ip >= ip_limit)) { + goto emit_remainder; + } + { + /* We could immediately start working at ip now, but to improve + compression we first update "table" with the hashes of some + positions within the last copy. */ + uint64_t input_bytes; + uint32_t cur_hash; + uint32_t prev_hash; + if (min_match == 4) { + input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 3); + cur_hash = HashBytesAtOffset(input_bytes, 3, shift, min_match); + prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 3); + prev_hash = HashBytesAtOffset(input_bytes, 1, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 2); + prev_hash = HashBytesAtOffset(input_bytes, 2, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 1); + } else { + input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 5); + prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 5); + prev_hash = HashBytesAtOffset(input_bytes, 1, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 4); + prev_hash = HashBytesAtOffset(input_bytes, 2, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 3); + input_bytes = BROTLI_UNALIGNED_LOAD64LE(ip - 2); + cur_hash = HashBytesAtOffset(input_bytes, 2, shift, min_match); + prev_hash = HashBytesAtOffset(input_bytes, 0, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 2); + prev_hash = HashBytesAtOffset(input_bytes, 1, shift, min_match); + table[prev_hash] = (int)(ip - base_ip - 1); + } + + candidate = base_ip + table[cur_hash]; + table[cur_hash] = (int)(ip - base_ip); + } + } + + next_hash = Hash(++ip, shift, min_match); + } + } + +emit_remainder: + BROTLI_DCHECK(next_emit <= ip_end); + /* Emit the remaining bytes as literals. */ + if (next_emit < ip_end) { + const uint32_t insert = (uint32_t)(ip_end - next_emit); + EmitInsertLen(insert, commands); + memcpy(*literals, next_emit, insert); + *literals += insert; + } +} + +static void StoreCommands(MemoryManager* m, + const uint8_t* literals, const size_t num_literals, + const uint32_t* commands, const size_t num_commands, + size_t* storage_ix, uint8_t* storage) { + static const uint32_t kNumExtraBits[128] = { + 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 10, 12, 14, 24, + 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, + 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 10, 24, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, + 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, + 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, + }; + static const uint32_t kInsertOffset[24] = { + 0, 1, 2, 3, 4, 5, 6, 8, 10, 14, 18, 26, 34, 50, 66, 98, 130, 194, 322, 578, + 1090, 2114, 6210, 22594, + }; + + uint8_t lit_depths[256]; + uint16_t lit_bits[256]; + uint32_t lit_histo[256] = { 0 }; + uint8_t cmd_depths[128] = { 0 }; + uint16_t cmd_bits[128] = { 0 }; + uint32_t cmd_histo[128] = { 0 }; + size_t i; + for (i = 0; i < num_literals; ++i) { + ++lit_histo[literals[i]]; + } + BrotliBuildAndStoreHuffmanTreeFast(m, lit_histo, num_literals, + /* max_bits = */ 8, + lit_depths, lit_bits, + storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + + for (i = 0; i < num_commands; ++i) { + const uint32_t code = commands[i] & 0xFF; + BROTLI_DCHECK(code < 128); + ++cmd_histo[code]; + } + cmd_histo[1] += 1; + cmd_histo[2] += 1; + cmd_histo[64] += 1; + cmd_histo[84] += 1; + BuildAndStoreCommandPrefixCode(cmd_histo, cmd_depths, cmd_bits, + storage_ix, storage); + + for (i = 0; i < num_commands; ++i) { + const uint32_t cmd = commands[i]; + const uint32_t code = cmd & 0xFF; + const uint32_t extra = cmd >> 8; + BROTLI_DCHECK(code < 128); + BrotliWriteBits(cmd_depths[code], cmd_bits[code], storage_ix, storage); + BrotliWriteBits(kNumExtraBits[code], extra, storage_ix, storage); + if (code < 24) { + const uint32_t insert = kInsertOffset[code] + extra; + uint32_t j; + for (j = 0; j < insert; ++j) { + const uint8_t lit = *literals; + BrotliWriteBits(lit_depths[lit], lit_bits[lit], storage_ix, storage); + ++literals; + } + } + } +} + +/* Acceptable loss for uncompressible speedup is 2% */ +#define MIN_RATIO 0.98 +#define SAMPLE_RATE 43 + +static BROTLI_BOOL ShouldCompress( + const uint8_t* input, size_t input_size, size_t num_literals) { + double corpus_size = (double)input_size; + if ((double)num_literals < MIN_RATIO * corpus_size) { + return BROTLI_TRUE; + } else { + uint32_t literal_histo[256] = { 0 }; + const double max_total_bit_cost = corpus_size * 8 * MIN_RATIO / SAMPLE_RATE; + size_t i; + for (i = 0; i < input_size; i += SAMPLE_RATE) { + ++literal_histo[input[i]]; + } + return TO_BROTLI_BOOL(BitsEntropy(literal_histo, 256) < max_total_bit_cost); + } +} + +static void RewindBitPosition(const size_t new_storage_ix, + size_t* storage_ix, uint8_t* storage) { + const size_t bitpos = new_storage_ix & 7; + const size_t mask = (1u << bitpos) - 1; + storage[new_storage_ix >> 3] &= (uint8_t)mask; + *storage_ix = new_storage_ix; +} + +static void EmitUncompressedMetaBlock(const uint8_t* input, size_t input_size, + size_t* storage_ix, uint8_t* storage) { + BrotliStoreMetaBlockHeader(input_size, 1, storage_ix, storage); + *storage_ix = (*storage_ix + 7u) & ~7u; + memcpy(&storage[*storage_ix >> 3], input, input_size); + *storage_ix += input_size << 3; + storage[*storage_ix >> 3] = 0; +} + +static BROTLI_INLINE void BrotliCompressFragmentTwoPassImpl( + MemoryManager* m, const uint8_t* input, size_t input_size, + BROTLI_BOOL is_last, uint32_t* command_buf, uint8_t* literal_buf, + int* table, size_t table_bits, size_t min_match, + size_t* storage_ix, uint8_t* storage) { + /* Save the start of the first block for position and distance computations. + */ + const uint8_t* base_ip = input; + BROTLI_UNUSED(is_last); + + while (input_size > 0) { + size_t block_size = + BROTLI_MIN(size_t, input_size, kCompressFragmentTwoPassBlockSize); + uint32_t* commands = command_buf; + uint8_t* literals = literal_buf; + size_t num_literals; + CreateCommands(input, block_size, input_size, base_ip, table, + table_bits, min_match, &literals, &commands); + num_literals = (size_t)(literals - literal_buf); + if (ShouldCompress(input, block_size, num_literals)) { + const size_t num_commands = (size_t)(commands - command_buf); + BrotliStoreMetaBlockHeader(block_size, 0, storage_ix, storage); + /* No block splits, no contexts. */ + BrotliWriteBits(13, 0, storage_ix, storage); + StoreCommands(m, literal_buf, num_literals, command_buf, num_commands, + storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + } else { + /* Since we did not find many backward references and the entropy of + the data is close to 8 bits, we can simply emit an uncompressed block. + This makes compression speed of uncompressible data about 3x faster. */ + EmitUncompressedMetaBlock(input, block_size, storage_ix, storage); + } + input += block_size; + input_size -= block_size; + } +} + +#define FOR_TABLE_BITS_(X) \ + X(8) X(9) X(10) X(11) X(12) X(13) X(14) X(15) X(16) X(17) + +#define BAKE_METHOD_PARAM_(B) \ +static BROTLI_NOINLINE void BrotliCompressFragmentTwoPassImpl ## B( \ + MemoryManager* m, const uint8_t* input, size_t input_size, \ + BROTLI_BOOL is_last, uint32_t* command_buf, uint8_t* literal_buf, \ + int* table, size_t* storage_ix, uint8_t* storage) { \ + size_t min_match = (B <= 15) ? 4 : 6; \ + BrotliCompressFragmentTwoPassImpl(m, input, input_size, is_last, command_buf,\ + literal_buf, table, B, min_match, storage_ix, storage); \ +} +FOR_TABLE_BITS_(BAKE_METHOD_PARAM_) +#undef BAKE_METHOD_PARAM_ + +void BrotliCompressFragmentTwoPass( + MemoryManager* m, const uint8_t* input, size_t input_size, + BROTLI_BOOL is_last, uint32_t* command_buf, uint8_t* literal_buf, + int* table, size_t table_size, size_t* storage_ix, uint8_t* storage) { + const size_t initial_storage_ix = *storage_ix; + const size_t table_bits = Log2FloorNonZero(table_size); + switch (table_bits) { +#define CASE_(B) \ + case B: \ + BrotliCompressFragmentTwoPassImpl ## B( \ + m, input, input_size, is_last, command_buf, \ + literal_buf, table, storage_ix, storage); \ + break; + FOR_TABLE_BITS_(CASE_) +#undef CASE_ + default: BROTLI_DCHECK(0); break; + } + + /* If output is larger than single uncompressed block, rewrite it. */ + if (*storage_ix - initial_storage_ix > 31 + (input_size << 3)) { + RewindBitPosition(initial_storage_ix, storage_ix, storage); + EmitUncompressedMetaBlock(input, input_size, storage_ix, storage); + } + + if (is_last) { + BrotliWriteBits(1, 1, storage_ix, storage); /* islast */ + BrotliWriteBits(1, 1, storage_ix, storage); /* isempty */ + *storage_ix = (*storage_ix + 7u) & ~7u; + } +} + +#undef FOR_TABLE_BITS_ + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/compress_fragment_two_pass.h b/modules/brotli/enc/compress_fragment_two_pass.h new file mode 100644 index 0000000000..928677df42 --- /dev/null +++ b/modules/brotli/enc/compress_fragment_two_pass.h @@ -0,0 +1,54 @@ +/* Copyright 2015 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Function for fast encoding of an input fragment, independently from the input + history. This function uses two-pass processing: in the first pass we save + the found backward matches and literal bytes into a buffer, and in the + second pass we emit them into the bit stream using prefix codes built based + on the actual command and literal byte histograms. */ + +#ifndef BROTLI_ENC_COMPRESS_FRAGMENT_TWO_PASS_H_ +#define BROTLI_ENC_COMPRESS_FRAGMENT_TWO_PASS_H_ + +#include "../common/platform.h" +#include <brotli/types.h> +#include "./memory.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +static const size_t kCompressFragmentTwoPassBlockSize = 1 << 17; + +/* Compresses "input" string to the "*storage" buffer as one or more complete + meta-blocks, and updates the "*storage_ix" bit position. + + If "is_last" is 1, emits an additional empty last meta-block. + + REQUIRES: "input_size" is greater than zero, or "is_last" is 1. + REQUIRES: "input_size" is less or equal to maximal metablock size (1 << 24). + REQUIRES: "command_buf" and "literal_buf" point to at least + kCompressFragmentTwoPassBlockSize long arrays. + REQUIRES: All elements in "table[0..table_size-1]" are initialized to zero. + REQUIRES: "table_size" is a power of two + OUTPUT: maximal copy distance <= |input_size| + OUTPUT: maximal copy distance <= BROTLI_MAX_BACKWARD_LIMIT(18) */ +BROTLI_INTERNAL void BrotliCompressFragmentTwoPass(MemoryManager* m, + const uint8_t* input, + size_t input_size, + BROTLI_BOOL is_last, + uint32_t* command_buf, + uint8_t* literal_buf, + int* table, + size_t table_size, + size_t* storage_ix, + uint8_t* storage); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_COMPRESS_FRAGMENT_TWO_PASS_H_ */ diff --git a/modules/brotli/enc/dictionary_hash.c b/modules/brotli/enc/dictionary_hash.c new file mode 100644 index 0000000000..16d853fe5a --- /dev/null +++ b/modules/brotli/enc/dictionary_hash.c @@ -0,0 +1,1846 @@ +/* Copyright 2015 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Hash table on the 4-byte prefixes of static dictionary words. */ + +#include "../common/platform.h" +#include "./dictionary_hash.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +BROTLI_INTERNAL const uint16_t kStaticDictionaryHashWords[32768] = { +1002,0,0,0,0,0,0,0,0,683,0,0,0,0,0,0,0,1265,0,0,0,0,0,1431,0,0,0,0,0,0,40,0,0,0, +0,155,8,741,0,624,0,0,0,0,0,0,0,0,0,0,0,0,66,503,0,0,0,451,0,0,0,0,0,0,0,835,70, +0,0,539,0,0,0,0,0,0,0,0,0,113,0,0,0,0,718,0,0,0,0,0,0,520,0,1070,0,0,0,0,0,1515, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,78,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,610,0,0,750,0,0,0,307,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,964,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,999,0,0,0,0,0,0,0,0, +645,75,0,649,52,282,0,200,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1621,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,211,225,0,0,687,718,0,0,110,0,58,0,0,0,0,0,0,345,0,0,301,0,0, +0,203,0,0,1154,674,1949,0,0,0,0,0,0,0,0,0,259,0,0,0,0,0,0,0,1275,0,0,0,1231,254, +0,0,0,0,0,0,0,277,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,248,0,0,800,0,0,0,29, +116,100,490,0,0,0,0,0,1641,0,543,0,0,0,0,41,181,0,657,0,0,202,25,0,0,0,0,0,0,0, +0,0,0,423,0,0,0,113,0,0,0,927,963,0,976,0,206,0,0,0,0,0,0,0,0,0,2002,0,0,0,0,0, +0,0,0,0,0,0,696,0,1170,0,0,0,0,226,13,0,769,678,551,0,0,0,0,0,0,57,0,0,0,10,188, +0,0,0,624,0,0,0,0,0,0,0,0,0,1941,130,0,0,0,0,378,269,0,0,528,0,1146,0,0,0,1105, +0,1616,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,656,0,1940,0,0,0,0,0,173,0,0,0,0,0,0,0,0,0, +0,0,457,342,810,0,0,0,0,620,0,0,0,0,0,0,0,967,95,447,406,0,0,0,477,0,1268,944, +1941,0,0,0,629,0,0,0,0,0,375,0,0,0,1636,0,0,0,0,774,0,1,1034,0,0,0,0,0,824,0,0, +0,0,0,118,0,0,560,296,0,0,0,0,0,0,0,0,1009,894,0,0,0,0,0,0,0,0,0,0,0,0,0,1474, +366,0,0,0,0,0,0,0,0,0,79,1723,0,0,200,0,0,0,0,0,0,0,0,1759,372,0,16,0,943,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,258,0,0,900,1839,707,30,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,2004,0,0,10,115,0,50,0,0,0,0,0,0,0,0,0,0,520,1,0,738,98,482,0,0,0,0, +0,0,0,0,0,0,701,2,0,0,0,0,0,0,0,0,557,0,0,0,0,0,0,0,0,0,347,0,0,0,0,572,0,0,0,0, +0,0,0,0,0,832,0,0,797,809,0,0,0,0,0,0,0,0,0,0,0,528,0,0,0,861,0,0,294,0,0,0,109, +0,0,0,0,0,0,0,0,1187,290,266,0,0,0,0,49,50,748,0,0,466,399,0,0,0,0,0,0,0,378,0, +519,0,0,0,0,0,0,0,0,0,0,0,0,667,351,902,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,180, +0,0,869,0,0,0,0,0,0,0,260,0,0,0,0,0,0,0,0,0,0,523,36,0,0,587,510,809,29,260,0,0, +0,0,0,0,0,0,570,0,565,0,1464,0,0,0,0,0,0,10,0,0,787,399,380,200,0,0,0,0,516,0, +844,887,0,0,0,0,0,0,0,44,0,0,0,305,1655,0,0,0,0,0,0,0,0,0,0,0,0,0,0,786,10,0,0, +0,0,0,0,0,0,0,2031,0,0,0,0,0,684,0,0,0,0,0,1480,0,0,0,27,0,0,0,395,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,813,511,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,56,0,0,0,206, +496,0,0,0,0,0,909,0,891,0,0,0,0,0,0,0,0,0,687,0,0,0,1342,0,0,0,0,0,0,0,0,0,0, +160,41,0,0,0,0,0,0,0,0,0,0,0,1718,778,0,0,0,0,0,0,0,0,0,0,1610,0,0,0,0,0,115,0, +0,0,0,314,294,0,0,0,983,178,193,0,0,0,0,0,0,0,0,0,174,0,0,0,0,0,0,0,0,0,0,848, +1796,0,0,0,0,0,0,221,0,687,1660,0,0,0,0,262,0,0,179,0,0,0,0,0,66,0,773,0,352,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,35,0,152,0,0,1197,0,0,0,0,0,0,0,0,0,0,0,0,560,0,0, +564,0,0,0,797,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,556,0,819,0,0,0,0,0,0,0,0,719,544, +637,5,0,0,0,0,0,0,0,0,0,0,0,101,0,1441,0,0,0,893,0,0,0,0,0,0,0,0,0,238,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,1296,0,0,969,1729,314,60,0,0,0,0,0,1144,0,1147,0,0,0,0,0, +0,0,0,0,0,437,1853,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,828,0,176,0,0,0,0,0,0,434,39,0, +0,0,0,0,159,0,0,0,902,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,270,0,0,0,0,801,556,0,0, +0,0,0,0,0,416,19,197,369,0,0,0,0,0,0,0,0,0,28,34,0,757,0,0,898,1553,0,721,0,0,0, +0,1012,0,0,0,0,1102,0,898,183,0,0,0,0,0,0,0,136,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,247,277,0,0,0,435,0,0,0,0,0,1311,0,0,0,0, +0,0,211,437,0,0,0,28,0,0,750,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2012,0,702, +0,808,0,0,0,0,739,166,0,0,0,0,0,0,719,170,500,0,0,0,0,0,0,0,0,1500,327,0,0,450, +0,0,0,1318,0,0,0,1602,0,0,331,754,0,0,0,0,0,1368,0,0,557,0,0,0,799,850,0,0,0,0, +0,0,0,0,908,0,0,0,0,0,19,62,459,0,0,0,0,0,0,0,0,0,0,0,0,1802,0,0,0,0,0,0,0,0,0, +1397,0,0,0,0,120,238,0,0,0,0,0,0,0,0,0,0,0,1324,0,0,0,0,0,0,0,0,602,201,0,0,164, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,615,0,0,0,0,0,0,0,0,0,0,0,0,0,1243,0,0,0,0,968,0,0, +0,0,0,0,882,0,0,0,907,329,100,0,0,0,0,0,0,0,0,0,0,0,176,26,9,0,0,265,256,0,0,0, +0,0,0,0,0,0,643,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,127,610,0,0,0,0,973,2001,0, +0,0,0,0,0,522,0,0,0,0,0,0,0,0,0,0,0,553,0,0,0,0,0,0,1582,0,1578,0,0,0,0,0,0,0,0, +0,0,0,795,0,0,0,432,0,0,0,0,0,0,84,126,0,0,0,0,790,0,377,64,0,1529,0,0,0,0,530, +1857,539,1104,0,0,0,0,0,0,0,0,0,0,0,0,977,0,0,0,34,0,0,0,0,0,0,0,0,0,0,0,24,26, +0,0,918,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,183,379,0,0,0,0,0,0,0,792, +0,0,0,0,0,0,0,0,0,1920,0,0,0,0,0,0,0,0,0,771,0,0,0,1979,0,901,254,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,140,0,0,0,0,0,440,37,0, +508,0,0,0,513,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,533,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,752,920,0,1048,0,153,0, +0,391,0,0,1952,0,0,0,0,0,0,0,0,0,0,126,0,0,0,0,640,0,483,69,1616,0,0,0,0,0,734, +0,0,0,0,0,0,480,0,495,0,472,0,0,0,0,0,0,0,0,874,229,0,0,0,0,948,0,0,0,0,0,0,0,0, +1009,748,0,555,0,0,0,0,0,0,193,0,653,0,0,0,0,0,0,0,0,0,0,984,0,0,0,172,0,0,0,0, +0,0,0,0,83,1568,0,0,384,0,0,0,0,0,0,0,164,880,0,0,0,0,0,0,0,0,0,0,0,367,121,0,0, +828,0,0,0,0,0,0,0,1541,0,0,0,0,0,0,0,343,0,0,0,0,0,0,0,0,561,57,0,0,0,0,0,0,0, +926,0,0,0,0,827,0,194,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,22,0,0,0,0,0,0,0, +0,0,0,896,1249,0,0,0,0,0,1614,0,0,0,860,0,0,0,0,0,0,0,0,964,102,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,899,0,569,0,0,0,0,795,2045,0,0,0, +0,0,0,104,52,0,0,0,0,0,604,0,0,0,0,779,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,32,0,0,0,0, +494,0,677,0,0,0,0,0,0,0,508,0,0,0,0,0,0,0,0,0,1014,0,957,0,0,630,310,0,0,0,570, +0,0,449,0,64,537,0,0,0,0,0,0,0,244,0,0,0,0,0,0,0,0,0,0,0,0,0,0,702,1650,49,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,338,0,0,0,0,1279,0,0,0,0,0,0,0,896,0,0, +178,0,0,0,0,0,0,0,0,0,0,0,0,0,808,695,0,0,0,0,539,1117,0,0,0,0,0,0,0,0,257,0, +1003,0,0,0,1,448,0,516,0,0,960,0,125,4,0,1268,30,748,0,0,852,0,0,0,6,0,0,848, +236,1385,862,1811,0,0,0,0,698,803,0,0,0,0,0,0,0,610,992,0,0,878,0,1847,0,0,0,0, +0,0,0,383,0,1404,0,0,0,0,986,0,347,0,0,0,0,0,0,0,0,0,0,0,592,572,0,1411,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,64,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,606,0,0,0,0,0,0, +0,0,0,0,0,0,0,1829,0,0,0,0,0,0,0,0,0,0,0,0,700,748,0,0,0,0,0,0,365,0,0,127,0,0, +83,198,0,0,0,0,0,0,864,55,0,0,0,0,726,1752,0,0,0,0,0,0,0,0,0,0,0,0,0,1066,0,764, +0,0,0,0,683,0,550,309,0,0,874,1212,0,0,0,1364,0,986,381,723,0,0,0,1573,0,0,0,0, +0,1025,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1559,0,0,0,0,493,133,0,0,0,0,148, +119,0,0,0,0,0,0,537,14,541,0,635,126,0,0,0,495,0,0,0,0,861,998,1009,0,0,0,0,0,0, +0,359,368,0,0,0,0,304,1577,0,0,0,0,0,1107,0,0,0,0,0,929,0,0,0,1142,0,0,0,0,289, +175,0,432,0,219,0,0,0,0,0,785,0,0,595,0,0,0,0,0,0,0,0,0,0,0,0,0,80,0,0,0,0,0,0, +931,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1323,0,0,0,0,290,0,559,1751,127,0,0,0, +934,1167,0,963,0,260,0,0,0,573,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +580,1689,0,0,0,0,0,0,0,0,0,1164,0,0,982,1922,0,63,0,0,0,0,0,793,0,0,0,0,0,0,0,0, +0,0,0,0,0,67,790,0,0,0,0,0,0,0,0,0,0,391,443,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,271,0,0,0,0,0,0,0,0,0,0,0,1140,0,0,0,0,340,300,0,897,0,0,0,0,0,0, +0,0,0,0,890,0,0,0,0,818,321,53,0,0,0,0,0,0,0,0,0,468,0,243,0,870,0,0,0,1765,121, +0,0,0,180,518,0,822,419,634,0,0,0,0,0,0,0,0,0,898,0,0,0,0,454,36,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,806,0,0,0,0,0,0,0,0,0,0,0,0,1326,0,104,0,0,0,0,0,0,0, +0,0,260,0,0,0,0,0,0,0,0,0,0,0,0,542,45,0,0,263,1516,42,0,0,0,0,0,468,0,1005,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,288,87,0,0,0,0,0,0,0,0,502,988,133,0,0,0,0,0,0, +141,0,0,872,1842,0,0,0,0,0,0,0,0,261,619,0,0,0,0,189,246,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,678,0,0,0,0,0,0,0,0,0,0,0,0,285,35,0,517,0,0,0,0,0,0,0,0,0,0, +540,214,667,0,74,0,0,125,0,0,0,0,0,761,131,0,0,0,0,0,0,0,0,0,0,0,0,0,333,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1338,94,0,0,0,0,0,0,0,0,0,0,0,0,449,0,646,103, +86,641,2028,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,869,87,277,117,39,0,0,0,0,0,0,0,0,938, +297,0,0,0,0,558,464,0,0,0,0,0,0,0,0,0,0,731,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1608,0, +0,0,0,0,0,0,1429,0,0,733,1010,0,0,338,1656,0,0,0,1038,979,2010,0,0,0,0,0,0,0, +1005,0,0,121,0,0,0,219,20,0,0,0,0,0,0,872,1440,0,0,0,683,0,1070,0,0,522,0,0,0,0, +439,669,0,0,0,0,0,0,0,0,1245,0,0,0,0,0,1218,0,0,547,233,0,0,0,0,0,0,0,0,0,482,0, +0,0,0,0,0,0,886,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,795,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,371,0,0,0,0,0,0,0,0,0,0,0,0,0,622,0,625,0,0,0,339,29,0,0,338,0,0,0, +0,130,0,0,0,0,0,0,0,0,0,307,0,0,0,0,0,0,0,0,0,0,2044,0,0,0,0,0,0,0,0,308,770,0, +0,0,0,0,1266,0,0,0,0,0,0,0,0,0,400,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,690,739,0,0, +0,0,0,0,0,990,0,0,0,1831,0,0,0,0,0,0,0,0,0,0,0,0,0,613,0,0,0,0,0,0,0,0,0,0,0,0, +0,763,0,878,0,0,0,977,0,100,0,0,0,0,0,0,0,0,0,463,0,0,0,0,623,318,0,0,296,463, +137,0,0,454,0,0,0,1527,58,0,0,0,0,0,0,0,18,48,0,0,0,0,0,729,0,0,0,442,0,0,0,0, +40,449,0,853,0,0,0,0,0,0,227,0,0,0,0,0,0,1491,0,0,0,0,0,0,0,0,0,0,161,55,0,450, +0,1174,62,0,207,0,0,0,0,0,0,0,0,869,0,0,0,0,80,213,0,0,0,0,0,0,0,0,0,0,354,820, +0,0,747,0,0,0,954,0,0,1073,0,556,0,0,0,692,0,191,0,804,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,831,162,0,0,35,0,0,0,0,0,0,0,0,1235,0,0,0,0,0,1234,0,0, +0,0,0,0,0,0,0,0,96,0,0,0,0,0,0,0,149,0,0,0,902,204,0,0,833,0,287,366,0,0,0,0,0, +0,992,2020,0,0,0,0,0,0,0,0,0,0,0,356,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,784,0,0,567, +630,0,0,0,539,0,0,27,0,0,0,0,0,0,0,0,0,0,755,0,0,0,0,0,0,0,0,0,0,0,0,814,0,0,0, +0,0,0,0,0,0,0,0,0,0,987,0,0,255,761,194,0,1086,0,0,0,0,0,0,1016,0,0,1396,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,562,271,913,0,0,0,0,0,0,0,0,320,153,45,475,0,0, +0,0,0,0,0,713,0,327,0,0,0,0,0,0,604,552,3,359,0,0,0,0,853,80,0,0,0,0,0,0,0,2016, +6,887,0,0,0,0,975,0,961,0,0,0,0,0,916,1891,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,100,101,390,708,0,0,0,587,983,512,0,0,0,0,0,0,0,0,0,0,0,645,0,0,0,851,0,0,0, +0,0,498,140,217,0,0,0,1448,0,0,0,0,0,0,0,0,0,905,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +643,105,0,792,0,0,0,0,0,0,0,0,0,0,0,0,56,0,0,0,0,0,0,0,0,0,0,535,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,1748,0,0,0,0,0,754,0,0,0,0,0,0,0,0,0,0,0,0,91,0,0,1565,0,91,792, +939,3,370,0,0,0,0,95,0,0,0,0,551,7,619,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1150,0, +0,0,0,0,0,0,0,0,0,0,0,0,671,0,0,0,0,0,888,368,149,0,0,105,1134,0,983,0,0,458,31, +0,643,0,0,0,312,0,740,0,0,0,1642,0,0,0,0,0,0,0,236,0,0,0,0,0,0,0,59,68,0,0,0,0, +0,867,795,0,0,0,0,970,1977,0,0,0,0,0,0,0,1148,0,775,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,970,0,0,0,0,0,0,0,0,0,665,71,0,0,0,0,827,0,0,0,0,0,0,0,0,0, +0,479,0,0,0,0,0,0,0,0,99,607,0,0,0,0,0,0,0,1960,0,0,0,793,0,0,871,41,0,0,241,94, +0,0,0,0,209,0,0,1497,0,0,0,0,0,0,0,0,0,98,0,0,0,463,0,0,0,0,291,0,0,0,0,0,0,0,0, +0,0,984,0,0,0,0,0,205,0,0,0,0,0,0,205,42,0,801,0,0,0,0,0,635,0,0,533,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,371,0,1282,0,0,0,825,0,0,0,0,0,0,0,0,0,357,879,467,0,317,0,0, +0,0,0,0,0,924,0,0,0,0,849,1795,0,0,0,0,895,1799,43,0,0,0,0,0,0,0,0,0,0,1820,0,0, +0,0,0,0,0,525,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,110,0,493,0,174,417,0,0, +0,0,0,583,733,0,0,0,0,0,0,481,215,0,0,0,0,477,0,0,0,0,0,0,0,0,308,0,0,0,0,0,0,0, +0,297,126,0,0,361,1551,0,0,0,0,0,0,871,1807,0,0,0,0,0,1307,0,685,0,0,0,0,0,0,0, +797,0,858,0,565,0,0,0,0,0,0,0,0,0,0,0,0,434,252,826,0,0,0,0,0,0,791,0,0,0,0,509, +231,178,601,0,0,0,0,0,0,0,0,43,1591,0,0,0,0,0,1683,0,0,0,0,45,0,0,0,0,0,0,0,0,0, +0,1120,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,556,494,0,398,0,0,0,1030,0,0,0,0,0,0, +168,0,0,0,0,0,0,0,0,0,0,973,0,642,0,0,0,0,0,0,0,0,0,1615,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,378,594,0,1093,0,679,112,0,0,0,0,1492,540,1374,714, +1486,0,0,0,0,825,1511,0,0,0,0,0,0,0,0,0,0,0,0,0,952,0,0,736,143,0,700,0,1540,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1557,0,0,0,860,990,0,0,0,807,0,0,0,0,0,131, +515,0,646,0,0,0,0,117,728,508,121,0,0,0,0,0,0,357,0,0,0,0,0,0,237,0,0,0,0,0,0,0, +0,0,1784,0,0,0,0,0,0,0,0,0,0,0,713,348,1536,0,738,0,0,0,0,0,0,0,434,0,0,0,0,0,0, +366,1877,39,0,0,0,0,0,0,580,0,0,0,0,0,0,0,0,0,0,0,0,0,0,873,0,0,0,0,171,0,625, +550,107,343,943,0,0,0,0,0,0,0,768,0,0,0,0,0,0,0,799,0,0,0,894,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,1673,0,0,0,0,0,0,0,0,0,0,0,1052,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +272,0,441,0,0,3,9,0,0,0,1182,0,1346,0,0,0,0,0,0,0,0,682,0,0,1004,24,0,0,968,0,0, +0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,185,0,0,0,578, +474,0,0,0,0,0,0,0,0,0,0,0,0,0,0,113,530,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,556,0,0,0,0,0,0,16,1317,0,0,97,0,0,0,703,0,0,0,0,0,0,0,0,892,0,0,0,1571,0,0, +426,186,0,1101,0,0,0,0,0,0,0,0,937,585,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,644,291, +0,0,0,0,749,0,162,0,0,381,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,762,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,628,21,0,0,0,0,0,0,0,0,919,0,0,0,0,0,0,0,0,0, +633,0,0,0,0,332,0,0,0,0,0,0,0,0,0,1489,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,832,398,0,645,0,0,0,13,0,0,0,0,0,0,0,0,0,0,20,0,800,0,0,0,0,0,0,0,0,0, +0,0,0,0,1993,0,0,0,0,769,0,0,0,665,0,0,0,0,0,0,0,0,0,0,1426,0,0,0,0,60,0,0,0, +641,1874,0,644,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1757,0,0,0,0,0,937,0,1652,0,654,0, +0,0,0,0,0,0,527,0,0,0,0,0,0,0,0,0,0,0,0,0,226,0,0,0,0,0,1486,0,0,0,0,0,0,0,0,0, +0,0,325,0,0,0,0,0,0,0,1345,0,0,91,0,404,0,0,0,0,0,0,0,0,0,0,0,0,973,0,0,0,0,0,0, +0,1176,0,549,0,0,0,0,0,0,0,0,0,0,976,0,0,0,0,0,21,0,0,0,0,0,51,0,0,0,0,314,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,198,6,0,1093,0,0,0,0,0,0,0,0,0, +0,0,0,0,1776,0,0,0,0,0,1528,0,419,0,0,0,0,0,0,0,0,76,138,0,0,0,0,638,29,0,0,0,0, +0,0,0,1418,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1710,0,0,0,0,0, +0,0,0,0,0,0,0,532,23,0,0,0,0,0,0,0,862,0,0,946,592,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,70,0,0,0,0,0,0,0,0,0,812,0,0,0,76,0,0,988,0,442,0,0,0,896,0,0,0,0,0,0, +483,0,0,0,0,1709,0,0,0,0,0,0,119,0,0,0,117,0,309,0,0,0,0,0,596,976,0,0,0,0,0,0, +0,0,0,0,0,768,0,0,0,0,0,0,0,0,0,518,0,0,0,0,0,0,0,0,0,0,0,0,0,0,863,0,0,0,24, +145,1020,0,0,1984,0,0,0,0,0,0,0,658,0,0,0,0,0,0,0,0,0,0,106,1827,0,1010,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,582,87,0,0,0,0,0,0,0,267,0,0,0,703,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,496,0,0,0,0,1121,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,249,561,0,0,0,0,0, +0,0,760,0,0,154,0,0,0,255,0,419,323,0,0,0,0,0,368,0,0,0,0,0,0,0,0,0,0,522,0,0,0, +0,0,0,0,551,562,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,92,0,0,0,0, +0,0,0,284,525,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,958,0,0,594,0,0,0,0,0,0,6,479,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,61,0,0,0,0,0,0,0,820,1641,0,1556,0,0,0,0,0,0,0,302,0,0, +0,0,0,148,0,0,676,0,0,0,0,0,0,1674,0,0,0,0,0,0,178,0,0,0,0,0,0,0,94,389,0,0,0,0, +91,8,0,0,0,0,0,0,0,0,0,0,112,0,0,0,0,0,0,0,0,0,0,747,0,0,0,0,0,0,0,1746,0,0,0,0, +0,24,0,1352,158,1530,0,0,718,130,280,1401,0,0,0,0,0,1946,8,0,0,0,0,1607,0,0,0,0, +0,0,882,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,417,0,0,0,1597,633,433,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,234,0,0,0,0,0,0,0,0,680,1950,0,0,0,0,249,5,0,0,0, +0,0,0,0,0,0,1216,0,1773,0,0,0,0,0,0,0,0,0,0,0,0,0,0,509,180,0,0,0,0,0,0,0,1002, +0,0,0,0,0,0,0,0,0,0,0,0,0,931,0,0,0,0,0,0,0,0,747,943,0,1837,0,0,0,0,0,0,0,641, +0,0,0,0,280,0,0,0,5,0,0,0,0,0,72,545,0,0,0,0,0,0,0,0,0,742,0,0,254,151,872,0,0, +0,0,0,0,0,0,0,0,0,0,921,0,0,517,833,0,1680,0,0,436,251,584,0,0,0,0,0,0,0,0,0,0, +0,24,500,0,0,0,0,0,0,0,0,195,1775,514,389,0,0,0,0,0,0,0,743,0,0,0,0,0,0,292,0,0, +0,227,1283,774,1805,0,0,0,0,0,0,0,0,0,0,119,81,0,0,0,0,0,0,0,0,0,0,0,0,0,0,913, +1910,0,0,0,1826,490,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1162,700,30, +0,0,0,721,839,0,0,0,617,0,0,0,0,0,0,0,0,0,169,428,0,0,0,0,0,1648,637,1205,0,0,0, +1596,0,0,4,266,0,0,0,0,0,0,0,0,0,0,0,862,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0,0,0,0, +0,279,157,391,604,0,0,713,945,877,973,0,0,0,0,0,0,0,0,0,0,0,0,0,0,859,567,628, +1846,0,0,0,0,0,0,0,0,0,762,0,0,191,0,0,0,0,298,0,0,767,909,0,0,0,0,0,0,0,795,0, +0,301,0,0,1970,0,0,0,0,0,0,0,0,0,1236,0,0,0,0,0,0,644,369,15,0,160,71,0,0,0,0,0, +1447,0,0,0,0,0,0,0,0,735,1255,76,0,0,0,0,0,0,0,0,0,0,474,0,0,0,0,0,0,0,0,0,0, +841,0,0,0,0,0,0,0,0,0,0,836,0,0,0,0,0,1622,0,0,735,0,0,0,0,1601,804,1390,394,0, +0,0,0,0,0,96,0,289,0,0,35,688,0,0,0,667,0,513,0,0,0,0,0,0,0,2034,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,704,0,1524,0,1078,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,306, +0,0,0,0,0,0,0,431,0,1196,0,0,54,0,15,1448,0,1418,0,0,0,0,0,0,0,0,0,907,0,0,0,0, +0,0,194,1767,0,0,0,0,0,840,0,900,0,0,0,0,0,0,0,0,0,0,0,1436,0,0,0,0,642,1560,0, +0,0,0,0,0,94,386,0,0,0,0,0,0,0,0,0,0,830,416,0,0,20,731,0,0,0,0,0,0,0,0,697,0,0, +662,0,0,0,0,0,0,0,0,0,861,0,0,0,0,0,0,0,871,671,864,0,928,7,0,332,0,0,0,0,1055, +0,0,0,0,0,0,986,0,0,0,0,0,44,76,0,0,0,0,0,0,0,0,0,0,300,0,0,0,0,0,0,0,175,518, +831,1108,0,0,0,836,0,1852,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,843,1804,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,246,0,0,0,610,202,0,0,36,0,0,0,240,654,13,0,0,0,0,0,0,0, +0,391,0,403,0,0,0,0,0,0,0,0,0,0,75,0,366,815,0,0,631,0,0,0,0,0,0,0,0,345,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,952,0,0,0,0,0,0,0,0,0,0,0,673,35,662,0,287,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,5,34,0,0,0,0,0,0,0,0,151,0,427,0,0,382,0,0,0,329,0,0,279,0,0,0, +0,0,0,0,0,0,0,906,0,0,366,843,0,1443,0,1372,992,0,36,123,0,649,0,0,0,0,0,767,0, +1018,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,995,0,0,0,0,0,0,0,72,368,0,0,1345,0,0,0, +589,0,0,0,0,0,0,0,0,0,1988,0,0,220,541,0,0,0,686,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,32,196,0,0,0,0,0,0,0,0,0,0,0,0,0,381,0,0,0,0,0,0,0,0,0,1452,0, +0,0,616,0,0,0,0,0,0,0,0,0,1229,0,0,0,0,0,0,0,0,0,0,667,120,0,0,0,0,0,0,0,1146,0, +0,0,0,0,0,0,0,0,0,0,352,0,0,0,0,0,293,0,0,0,0,0,0,0,0,0,0,0,0,0,935,0,1050,0, +147,88,0,0,923,0,0,0,0,0,934,0,0,0,0,0,0,0,0,114,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,341,222,0,0,0,0,0,0,0,0,0,0,293,0,0,0,0,0,0,0,0,0,0,0,0, +637,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1159,0,0,0,847,0,0,0,0,0,0,683,0,867,944,0,0, +0,0,0,1809,0,0,0,0,0,0,0,0,0,0,395,170,0,0,0,0,0,0,0,0,0,0,618,535,0,1625,0,0,0, +0,0,0,0,0,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,778,0,0,0,0,0,46,0,2032,0,0,37, +1458,0,938,363,34,0,0,0,0,0,0,0,0,0,0,0,0,0,0,314,0,0,0,0,0,0,889,0,0,0,0,0,0,0, +0,0,0,0,462,0,0,0,0,525,0,0,23,0,0,0,0,0,0,0,0,0,0,0,676,0,0,0,0,0,0,0,0,0,0,0, +0,498,725,0,0,0,0,7,0,0,0,0,773,0,0,0,164,0,0,0,0,0,0,0,0,936,583,659,1462,0, +220,0,0,0,0,803,0,0,544,119,0,0,0,0,0,0,0,0,0,0,0,181,176,0,1192,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,1878,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,0,0,0,0,0,0, +944,0,0,0,0,0,0,0,273,0,0,0,0,0,855,0,0,0,0,5,127,0,0,0,0,0,0,0,0,752,230,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,68,162,0,654,48,156,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,240,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,197, +0,0,0,0,0,0,0,963,0,0,0,0,0,0,0,0,0,0,858,0,0,0,0,0,0,0,0,0,0,676,1978,0,0,102, +972,0,0,0,0,0,0,0,361,0,461,0,0,0,472,0,0,0,0,0,0,0,0,0,0,0,0,0,0,747,905,0,0,0, +155,0,0,0,0,0,0,0,0,0,0,319,163,0,0,0,0,0,0,0,0,0,848,0,0,36,631,0,0,0,0,0,1769, +0,0,0,0,0,144,0,0,0,0,0,0,0,0,0,0,369,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,555,247,0,0, +996,0,0,189,0,0,0,0,0,0,0,0,0,0,280,0,0,0,0,0,0,0,0,0,0,0,526,746,0,0,345,0,0,0, +1017,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,651,428,0,0,0,1162,230,327,546,792,0,0,0, +1203,0,0,0,0,0,0,0,0,0,672,189,0,0,0,0,0,0,99,0,0,0,298,0,0,0,0,0,0,555,397,0,0, +0,0,0,1157,0,0,0,0,0,0,0,0,0,0,398,1523,0,366,0,0,787,0,0,0,282,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,157,0,941,0,0,0,0,0,1336,0,0,116,0,0,0,0,0,0,787,0,0,0,0,0,0,0,0,0, +0,170,160,0,1815,0,0,0,0,0,866,0,0,0,0,0,0,0,0,0,689,0,0,0,0,820,0,498,108,0,0, +0,1119,0,0,0,244,609,1005,0,581,0,0,0,0,0,895,0,0,0,1898,0,0,0,0,0,926,0,0,0,0, +0,0,0,0,0,0,0,0,0,538,496,294,301,0,0,0,18,0,0,757,0,0,0,0,0,1263,0,820,0,722,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2028,0,0,0,0,124,1875,0,0,0,881,0,0,0,1348, +0,0,0,0,0,0,0,911,0,954,0,0,0,0,414,0,0,0,0,517,0,0,0,0,0,816,0,0,0,0,0,0,0,0, +713,0,0,0,0,0,0,0,33,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,593,150,0,0,0,0, +0,553,0,0,0,0,0,0,0,0,0,0,108,0,0,0,0,420,0,0,0,0,0,0,0,0,0,0,0,1777,0,0,55,493, +0,0,81,0,321,980,0,0,0,0,0,0,0,0,0,0,0,0,0,0,362,112,0,74,0,0,0,0,0,0,0,625,0,0, +0,0,0,0,377,16,0,0,61,281,0,0,0,0,0,0,0,0,0,0,0,0,0,0,224,1031,0,0,0,0,0,0,51,0, +0,0,0,0,0,0,211,309,15,125,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,789,173,0,439,9,648, +0,0,294,0,0,0,0,0,0,0,374,8,0,1099,0,0,0,0,0,0,0,575,0,0,0,518,0,0,0,702,0,0,0, +0,0,0,87,0,0,0,438,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,464,122,0,0,0,1802,0,0,0,0, +0,0,499,0,0,0,87,476,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,840,283,0,0,0,0,1620,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,609,1160,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,600, +323,372,0,0,0,0,471,722,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0, +477,1304,0,1774,0,0,88,0,438,12,0,0,0,0,0,0,0,0,671,997,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,639,22,0,0,782,681,0,0,0,0,0,0,0,0,0,0,1013,664,0,942,0,1349,0,0,0,0,0,0,0, +0,0,0,0,0,356,0,0,32,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,215,289,0,1975, +109,450,0,0,0,0,0,0,0,0,0,0,705,0,0,664,0,0,0,0,0,0,0,1238,0,0,318,0,0,0,0,0,0, +0,0,0,0,0,0,0,960,1872,0,0,0,0,0,0,0,0,0,0,0,0,0,0,103,0,0,0,0,0,0,0,0,0,239, +777,0,26,0,0,0,0,0,0,0,0,0,0,0,0,375,414,0,17,0,0,0,1350,0,955,0,0,0,0,0,0,0,0, +887,960,0,0,0,0,0,0,0,0,0,0,708,710,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,919,0,0,0, +0,502,280,7,45,0,0,0,0,777,0,0,0,0,410,0,1110,0,0,0,0,0,0,414,341,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,787,0,0,0,436,0,0,0,0,0,0,0,1707,613,377,96,0,0,0,0,451, +0,0,0,0,0,0,0,0,0,0,0,0,0,680,0,483,916,0,0,0,0,0,0,937,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,739,0,0,0,0,0,0,0,0,82,0,0,663,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,128,0,0,0,0,0,0,0,0,1087,0,0,0,0,0,0,0,503,0,0,0,0,0,0,9,113,104,324,0,460,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,935,702,434,485,1014,949,423,0,900, +0,0,0,0,0,0,0,2018,574,0,0,0,0,0,0,0,0,0,0,0,0,1206,0,0,0,0,0,0,0,0,38,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,1022,0,0,0,0,143,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,2029,0,0,0,0,0,0,0,0,0,0,0,0,523,0,0,0,0,0,0,625,0,0,425,37,0,0,0,1943,0,0,0, +0,0,765,0,0,0,0,0,0,0,0,0,0,551,0,0,0,0,0,0,0,0,0,0,0,0,168,0,0,1010,0,0,1994,0, +0,0,91,0,0,0,0,532,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1884,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,240,15,0,0,0,1227,0,1534,0,0,0,0,0,0,0,0,0,0,0,0,0,0,392,0, +0,0,0,0,0,0,0,0,0,0,0,655,562,395,0,0,0,501,1019,0,0,0,0,509,267,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1099,0,0,0,0,0,0,948,0,0,0,0,0,0,0, +462,114,0,0,258,404,0,1717,0,0,0,0,82,1061,0,724,0,0,0,0,0,1133,0,0,0,0,0,0, +1021,841,0,1021,0,0,0,0,0,0,0,0,0,0,488,373,37,0,0,0,0,564,0,0,0,0,0,513,0,0,0, +825,0,0,899,0,0,778,0,0,12,1417,0,1116,0,0,0,0,0,0,0,0,0,0,0,0,0,0,114,545,0,5, +0,0,0,0,0,0,0,192,0,0,763,0,0,0,0,0,0,0,755,759,0,0,0,0,0,0,0,0,0,370,0,1237,0, +0,0,0,0,0,298,87,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,31,0,0, +0,0,0,0,814,991,0,757,57,0,0,0,0,0,0,0,0,0,540,0,0,0,0,608,0,0,0,0,0,0,0,0,1014, +0,0,0,902,0,0,0,0,553,1668,0,0,0,0,0,0,0,0,0,559,60,0,0,0,0,0,511,0,0,675,0,0, +156,0,0,0,0,0,0,709,0,698,0,0,0,1745,0,0,0,0,0,0,0,0,0,714,0,0,0,0,0,0,0,0,206, +8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,776,0,0,0,0,0,0,0,0,0,1272,0,0, +0,0,0,1059,0,0,0,0,0,0,406,0,0,0,0,0,0,0,0,0,0,947,0,0,0,0,0,0,168,0,0,0,0,0,0, +870,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,554,0,0,0,0,784,908,0,0,0,0,0,0, +0,396,358,0,0,0,0,0,0,0,0,2,228,0,0,0,0,0,0,0,0,0,0,0,845,14,0,716,1820,594,0, +81,1428,0,161,0,782,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,64,0,0,0,0,0,998,0, +0,0,0,0,0,0,0,0,0,0,0,1043,0,1496,0,0,0,0,0,0,0,0,781,0,0,0,0,0,0,0,817,1114,0, +1814,958,0,0,0,0,812,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,139,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,236,643,0,0,0,0,0,0,0,0,0,1172,0,0,0,0,0,0,0,0,0,1338,0,0,0, +0,0,0,0,0,0,0,0,54,0,0,0,256,0,0,351,0,955,1885,0,469,0,0,0,1270,0,744,0,313,0, +0,0,0,0,0,0,0,402,969,0,0,0,0,0,0,50,0,0,0,0,572,0,0,0,0,847,0,0,0,0,0,0,0,248, +43,0,369,0,0,0,0,0,0,0,0,0,0,0,0,0,766,0,363,0,0,0,0,0,0,0,0,0,0,0,678,0,0,409, +258,82,249,0,0,0,0,0,0,0,0,0,0,0,0,32,393,0,788,0,0,0,1281,509,1968,0,0,0,0,39, +291,0,0,0,589,0,0,54,1059,0,0,0,0,0,0,824,0,0,0,0,0,0,0,0,0,0,1005,0,1598,0,0,0, +0,0,919,0,0,0,0,0,0,0,0,52,132,0,0,0,0,0,328,0,0,0,0,173,0,0,0,0,0,65,1411,0,0, +0,0,0,0,0,0,0,0,442,0,842,0,0,0,0,0,0,0,0,0,534,0,0,0,0,0,0,0,0,0,0,0,0,0,845, +210,0,0,0,0,0,0,0,0,892,0,0,223,0,0,0,0,529,0,0,0,807,0,137,218,0,1444,0,0,0,0, +0,332,661,0,0,0,0,0,0,0,76,1517,0,0,0,0,0,0,0,0,0,0,0,418,0,0,0,0,0,0,0,0,481, +379,0,0,0,0,0,149,18,0,0,0,0,0,0,0,0,742,304,142,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,799,925,195,51,0,0,0,0,688,0,0,0,0,697,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,1169,751,0,0,0,452,929,0,221,0,1437,0,0,0,0,955,1251,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,192,0,132,0,0,0,0,0,865,0,0,0,0,0,0,0,767, +672,42,0,0,0,1050,0,0,0,0,0,0,0,0,368,44,0,0,0,0,0,0,0,570,29,0,0,0,0,0,0,227,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,522,0,0,0,0,0,0,0,1529,0,0,0,0,0,0,739,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,1667,0,0,0,0,0,0,132,511,0,138,208,1020,0,0,23,565,0,344,0,0,0, +0,0,922,0,0,0,0,0,0,0,240,0,0,415,171,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,402,0,0,754,31,716,0,982,731,0,0,0,0,0,0,0,888,0,0,0,803,847,0,0,823, +0,0,0,0,0,0,785,0,0,2,0,0,0,0,0,0,0,532,0,0,681,0,0,314,0,384,684,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,649,447,0,1818,1007,0,321,0,66,360,0,0,0,385,0,0,0,0,0,0, +0,900,73,254,0,0,0,0,683,1959,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,86,0,0,725,0,0,0,0,0,196,0,0,0,0,0,831,0,0,0,0,723,0,0,0,0,0,994,627,0,0, +0,0,0,0,0,0,0,0,764,66,0,0,0,0,205,36,0,0,0,0,0,0,0,950,0,0,0,887,111,0,0,831, +388,165,0,0,0,0,0,155,0,0,0,0,0,0,0,0,0,0,0,0,0,0,780,755,0,0,0,0,898,146,0,0,0, +0,0,0,0,45,7,0,0,0,0,0,0,0,0,607,0,0,0,0,0,0,65,0,0,0,0,0,0,0,0,0,88,0,0,0,0,0, +621,600,0,367,0,0,0,0,0,0,0,561,0,559,0,585,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +287,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,672,157,0,0,0,0,714,0,0,0, +0,0,456,0,925,0,0,0,0,0,0,0,0,19,0,0,0,0,1473,0,0,0,0,0,0,0,0,0,0,113,0,0,0,0,0, +0,0,0,0,0,0,0,0,69,463,0,0,82,193,2,471,0,0,0,0,633,0,0,0,0,0,0,1148,129,1392, +542,803,0,0,0,0,0,0,0,0,0,0,0,0,438,0,0,0,0,0,0,875,0,0,0,0,0,237,0,0,0,0,0,0,0, +65,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,563,0,0,0,9,444,0,0,43,1260,0,0,0,0,0,0, +971,0,0,699,0,0,0,0,0,1116,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,829,242,0, +0,593,0,0,0,0,0,0,0,0,201,36,224,0,0,0,0,0,0,1430,0,1806,0,523,0,0,212,1889,0,0, +0,827,0,0,0,0,0,2043,136,242,0,0,0,0,0,0,284,148,10,0,0,0,0,0,0,1249,0,0,0,807, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,94,0,0,0,494,0,0,0,0,0,0,0,0,1510,0,0,0,0,0, +0,0,0,0,0,505,1306,0,0,764,268,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,384,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1703,0,0,0,0,159,964,583,0,0,0, +0,0,0,515,0,0,854,0,0,0,0,0,0,0,0,0,0,0,0,1123,0,0,0,0,0,0,0,136,0,0,0,0,0,1782, +0,0,44,1287,0,0,0,0,0,732,0,0,0,0,313,679,0,0,316,0,0,0,0,595,0,0,0,0,0,0,753, +147,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,137,0,0,0,0,414,0,1762,0,0,0,0,0,0,0,0, +0,0,0,599,0,0,0,0,0,0,0,0,0,1749,0,0,0,1627,0,488,0,0,0,0,0,83,0,0,0,0,676,0,0, +1639,0,0,0,0,0,0,0,0,0,278,0,0,0,0,0,0,97,0,14,1085,0,0,0,0,0,0,781,388,0,849, +59,229,0,0,0,0,0,1115,0,0,0,0,108,0,0,0,0,700,0,0,0,0,0,0,0,0,0,1414,0,0,0,0,0, +0,0,0,0,0,0,0,0,660,737,1035,0,0,0,0,0,0,521,690,0,0,0,0,0,0,0,0,0,0,0,0,272,0, +0,0,0,0,0,0,0,0,0,1744,0,0,0,0,0,0,128,733,0,0,277,0,0,0,0,0,0,0,0,0,4,0,0,0,0, +0,0,0,0,0,0,0,0,0,936,1981,40,0,0,0,0,0,0,0,0,775,0,0,0,0,0,0,0,0,0,306,0,0,0,0, +0,0,0,979,0,0,0,0,0,611,0,0,0,0,0,178,0,0,0,1969,0,0,0,0,0,0,0,664,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,390,0,0,0,1510,0,0,0,0,0,0,0,0,0,0,0,493,0,0,37,0,0,0,0,724,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,96,1537,0,0,168,473,0,0,0,105,0,0,0,0, +627,438,0,0,0,0,0,0,0,0,0,0,11,1256,0,0,0,1626,0,779,0,0,0,0,25,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,308,0,0,0,0,0,741,0,671,0,0,0,0,649,150,0,0,99,521,0,0,3,339,0,0,0, +543,0,0,0,0,0,0,0,0,0,1358,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,234,155, +0,0,0,0,0,0,0,1628,0,766,0,0,0,0,0,0,0,0,0,0,0,0,0,829,0,0,0,1445,0,0,0,486,0,0, +0,0,2,1635,0,0,0,0,558,0,0,0,0,0,0,0,0,0,0,1461,0,0,0,0,0,599,0,0,0,0,0,0,0,0,0, +1376,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,93,0,0,0,0,0,0,447,0,0,66,1432,0,0,0,0, +0,0,307,0,413,609,0,0,0,930,0,0,0,0,21,939,0,0,0,0,0,962,4,651,0,0,0,0,15,579,0, +0,0,0,0,597,0,0,0,0,0,981,0,0,0,545,0,0,0,0,0,0,0,1558,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,800,17,0,0,17,0,907,0,0,0,110,0,0,0,53,458,0,1983,0,0,0,0,0,0,0,0,0,0,443,0, +0,0,0,0,0,0,0,0,0,0,924,1844,0,1232,0,0,0,0,70,519,0,993,0,0,0,0,0,0,14,530,0, +907,0,0,0,0,0,733,0,0,0,0,0,0,0,0,55,0,188,531,56,0,0,1693,0,0,0,0,0,0,0,0,441, +0,192,928,0,0,0,0,0,241,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1525,0,259,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,512,185,0,464,1603,0,0,0,0,0,0,0,0,0,0,0,1113, +284,720,0,0,722,0,0,0,0,0,13,0,0,0,0,0,0,0,4,289,43,0,0,0,0,0,0,1694,0,0,0,0, +193,0,0,0,0,409,0,0,0,0,0,0,0,0,0,0,0,0,308,0,0,1863,0,0,0,0,0,0,0,0,0,790,0,0, +745,1002,0,0,0,0,0,0,0,0,0,289,68,477,13,0,0,0,0,0,0,0,0,0,0,609,0,0,0,0,0,0,0, +0,0,0,0,367,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,528,0,0,0,0,0,0,0,0,0,694,58, +548,0,0,0,0,0,0,687,0,0,0,0,1749,0,0,0,0,0,0,0,0,1004,661,0,0,0,0,0,0,445,0,0,0, +74,0,0,0,0,213,0,0,0,0,0,0,0,0,0,0,0,0,0,834,0,0,189,1672,0,0,0,0,0,0,0,1548, +192,0,0,0,0,0,0,0,0,0,0,0,0,0,32,751,0,78,0,0,0,0,0,0,544,1602,105,473,0,0,0,0, +0,0,156,1949,0,1779,0,0,0,0,0,0,0,0,0,0,0,763,0,0,0,0,0,0,0,0,29,0,0,0,0,0,0,0, +0,0,0,883,0,0,0,0,0,0,0,488,0,617,0,0,50,0,694,1518,785,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,546,0,0,0,0,0,0,0,0,0,0,22,0,0,0,0,1016,0,0,0,577,0,0,0,0,0,0, +184,935,114,720,0,0,100,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,95,14,0,969,0,0,0,0,0,0,0, +727,0,1021,0,0,0,0,0,1190,0,0,0,0,0,0,0,0,0,0,0,0,0,153,0,0,0,0,0,0,0,0,0,798,0, +587,0,0,695,42,0,1929,141,957,0,465,7,908,0,0,450,148,0,0,0,1166,0,0,0,0,0,0,0, +0,0,0,0,0,253,0,1003,0,0,0,0,0,0,0,0,0,0,0,46,0,0,879,0,806,0,1868,0,0,0,0,0, +1846,0,0,0,730,0,0,0,0,0,0,0,965,0,0,0,0,506,0,0,0,10,0,0,0,22,0,0,0,0,0,0,0,0, +0,0,0,0,0,960,296,0,0,0,0,0,0,0,0,0,0,0,587,0,0,0,0,20,0,0,0,32,982,0,0,0,0,0,0, +0,0,0,0,941,0,0,0,0,435,0,0,0,0,0,0,71,419,0,0,0,0,0,0,688,740,94,345,0,0,679, +582,0,0,0,0,0,0,0,945,0,0,0,0,0,0,0,0,0,0,0,0,539,0,684,1993,0,0,0,659,0,583,0, +803,0,704,0,0,0,0,0,198,181,347,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,481,405,203,0,0,99,826,0,0,0,0,0,0,0,492,0,408,0,0,0,0,0,0,0,0,0,0,4,0,0, +0,0,665,349,137,0,0,0,0,612,1270,0,0,0,0,0,371,0,0,0,826,0,0,0,0,21,1535,858, +374,0,0,0,0,0,0,311,0,0,0,991,1968,0,0,0,0,494,1647,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,769,0,0,0,0,0,642,0,0,157,123,0,0,0,1435,0,0,0,0,0,0,0,0,0,0,79,0,0,0, +0,0,0,1425,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,106,393,486,1690,0,0,0,0, +0,0,0,0,0,0,0,0,756,184,0,0,0,1382,0,0,0,175,0,1493,0,1007,0,0,0,0,0,0,0,0,0,0, +0,219,0,0,0,0,515,99,0,851,0,0,0,0,0,1278,0,0,0,0,0,0,0,1000,982,0,762,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,910,1819,0,0,0,0,0,0,906,0,0,0,0,0,0,0,0,0,0,1730,0,0, +0,0,0,0,0,0,0,0,0,1185,0,0,0,0,0,0,0,0,40,0,0,0,147,0,0,0,0,0,0,0,0,0,0,0,0,0, +650,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,56,30,0,553,0,0,20,597,0,1614,0,0,0,0,0,327, +49,0,0,0,0,0,0,0,78,0,0,786,134,0,0,0,12,496,0,0,0,0,0,0,0,0,0,0,42,204,0,614,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,147,247,0,0,0,0,942,0,0,2023,0,0,0,0, +0,0,67,285,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1309,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,41,532,0,0,0,0,0,0,0, +1692,0,0,0,0,55,1704,0,0,0,0,988,0,0,0,223,0,0,0,0,0,0,0,57,1123,0,0,0,0,0,1764, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2015,0,0,0,1599,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,129,0,0,0,0,0,0,0,0,0,0,0,534,0,0,0,0,0,0,0,0,0,0,0, +0,0,504,621,1248,321,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1397,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,441,75,0,0,0,0,0,0,0,0,0,0,841,0,0,0,0,0,693,0,650,314,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,913,0,0,0,0,0,0,0,0,0,0,0,0,0,0,880,0,475,0, +0,1016,179,602,111,329,0,0,0,1864,0,0,0,0,846,1888,0,0,780,0,0,0,82,0,0,0,0,821, +0,0,0,0,0,0,0,0,0,0,0,956,112,0,0,0,261,455,0,0,0,0,0,0,337,385,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,184,1865,0,0,721,16,0,486,0,0,0,265,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,621,0,0,0,0,0,0,0,0,234,0,0,815,0,0,743, +1987,205,197,0,0,0,0,0,0,0,0,0,314,0,0,0,0,0,0,0,0,0,0,0,0,0,0,219,452,589,0, +176,333,0,0,0,0,0,0,0,1110,47,0,0,0,0,0,0,0,0,0,0,0,864,0,0,300,0,1237,0,0,0,0, +0,0,0,0,0,0,0,1685,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,135,395,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,631,0,0,0,0,0,0,835,0,0,0,606,459,0,979,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,612,0,0,0,0,0,0,0,0,158,372,0,854,0,0,0,0,0, +0,0,1492,0,0,0,833,0,0,0,0,0,0,0,1739,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +195,0,0,0,0,0,0,0,0,730,1997,0,0,0,0,0,0,0,0,61,0,0,0,0,0,0,0,266,751,0,0,0,0,0, +0,0,821,0,0,0,715,0,0,0,868,0,959,0,0,0,0,0,0,0,0,0,0,0,1053,0,0,0,950,0,1081,0, +1595,0,0,0,0,59,0,0,0,0,0,0,0,0,0,0,47,684,0,0,0,0,0,0,1606,0,777,0,1020,0,0,0, +1094,0,0,0,0,0,0,0,350,0,0,0,0,0,0,242,1812,0,0,0,967,0,0,0,473,286,0,0,0,0,0,0, +798,629,222,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,513,337,306,0,0,0,0,0,0,0,0,0, +146,0,0,1646,0,0,0,0,0,465,0,0,0,525,0,0,0,0,0,0,299,165,0,0,0,0,0,0,0,1064,0,0, +0,0,0,596,0,0,0,0,0,0,0,0,0,0,0,0,0,0,238,1741,0,1233,451,1824,0,0,0,0,733,495, +0,0,0,0,0,1204,0,0,0,559,341,0,224,21,0,0,0,0,0,0,0,0,97,1446,0,0,0,0,0,0,0,729, +0,0,565,727,0,1948,0,0,0,519,0,0,0,0,0,0,0,0,0,1193,0,0,0,0,0,0,790,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,323,2,201,0,0,59,0,0,34,0,896,961,0,1285,0,0,46,0,479,0,0, +0,0,549,0,663,0,0,0,0,0,783,65,682,0,0,0,0,0,11,0,0,0,0,0,522,0,0,0,52,0,0,0,0, +0,383,0,0,0,0,0,0,0,0,127,0,0,0,0,0,397,194,0,0,635,0,0,0,0,0,0,0,0,0,0,975,0,0, +0,0,0,0,0,0,0,0,116,0,51,0,0,858,0,1075,535,448,0,0,0,0,0,610,0,0,0,0,0,0,0,0,0, +0,191,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,267,673,319,94,92,0,551,0,0,218, +1406,69,256,0,0,952,1980,0,833,0,0,0,0,0,0,0,0,0,0,0,0,39,0,0,0,0,0,0,0,81,0,0, +0,352,634,0,0,0,0,0,618,0,0,0,0,0,0,73,339,0,0,0,0,0,0,0,0,0,0,0,0,0,0,169,759, +0,0,0,0,0,0,0,0,0,0,0,0,0,1075,0,0,0,0,0,0,482,649,0,0,0,0,0,0,0,0,386,336,0,0, +0,1035,0,0,0,0,0,0,0,0,0,0,0,924,0,73,0,0,0,0,0,1971,0,0,0,0,0,0,0,0,0,1344,0, +501,0,0,0,0,0,0,0,0,46,799,0,0,0,0,0,0,0,276,0,0,0,0,0,0,0,770,0,0,0,0,0,0,0,0, +0,0,0,0,0,158,0,0,0,0,0,1432,0,0,0,0,0,0,0,0,0,0,25,0,0,2001,0,0,0,0,0,0,0,0,0, +0,0,0,0,478,0,0,0,0,0,0,91,1461,211,602,0,0,0,0,0,0,0,0,0,1068,0,0,124,567,0,0, +0,1006,0,0,0,0,0,0,0,0,0,735,812,0,0,323,0,0,0,304,0,0,0,0,0,0,0,0,0,148,0,0,0, +0,0,0,0,0,0,523,0,0,144,730,0,0,981,0,0,111,0,0,132,0,0,0,0,0,0,890,0,0,0,0,0, +444,0,1787,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,2041,932,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,937,0,995,0,0,255,0,0,138,863,965,0,0,631,0,0,0,0,1394,16,652,0,0,0,0,0,0, +0,0,0,0,0,0,0,897,0,321,0,0,0,0,0,922,0,619,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,844,0,0,0,0,0,0,1659,0,1100,0,0,0,1173,0,1930,268,251,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,390,711,0,0,0,0,0,0,0,0,0,0,0,0,0,744,0,0,0,0,0,0,0,0,0,624,0,0,0, +1998,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1125,0,0,0,594,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,268,0,0,0,0,0,0,0,563,0,0,0,0,0,0,0,0,2,39,0,0,0,1332,0,0,0,0,0, +0,0,508,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,66,796,0,0,0,0,527,0,0,0,0,98,0,0,576,0, +0,0,0,0,122,0,276,37,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,645,0,0,0,0, +0,0,0,0,0,0,0,290,0,0,762,1292,0,0,0,1315,0,1955,0,0,0,0,0,0,0,0,0,0,210,131,0, +0,0,0,797,0,38,0,11,488,0,936,0,441,0,0,0,0,0,595,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +991,0,0,0,0,0,0,0,0,0,0,0,653,0,523,0,0,0,903,0,0,0,0,0,0,0,0,0,0,0,0,80,0,0,0, +0,0,0,0,0,0,432,0,0,314,0,0,0,0,232,1368,534,0,0,0,0,0,27,0,0,0,12,0,0,0,0,0,0, +0,0,0,264,736,0,1657,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1117,0,127,0,0,0,1208,0,1294, +0,0,0,0,364,0,0,0,0,0,125,1334,0,0,0,0,0,0,0,0,0,0,0,0,0,0,792,0,0,0,0,0,0,0, +849,699,0,0,0,0,0,968,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1446, +124,397,0,0,0,0,0,0,0,0,0,0,0,641,0,0,0,0,0,0,0,0,0,0,0,0,127,346,0,0,517,75,0, +0,0,0,0,0,0,0,83,0,0,0,0,0,0,1031,0,0,0,0,0,0,0,1470,0,954,0,0,345,304,410,0,0, +0,0,734,0,0,0,0,0,1822,0,0,0,1798,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,161, +1865,69,0,0,0,0,0,0,922,0,0,0,0,0,0,0,0,0,0,0,541,0,627,0,0,0,0,0,0,0,0,0,166,0, +0,0,0,0,0,0,0,0,849,0,0,0,0,0,0,0,717,0,0,0,0,0,0,0,0,0,0,0,0,0,0,600,0,0,0,0,0, +0,654,0,0,188,273,0,0,0,543,0,410,87,0,0,941,0,0,186,250,0,1785,0,0,0,0,0,1339, +462,961,0,780,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,529,0,0,0,0,0,0,474,1276,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,24,948,0,0,0,0,657,753,0,0,0,0,941,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,706,985,837,0,1861,0,0,0,0,0,0,0,0,0,0,0,0,0,0,292,933,0,0,0,0,0, +0,0,0,0,767,0,0,0,0,0,0,0,641,0,0,0,1233,114,0,883,0,274,2008,0,1794,285,0,0, +571,0,0,0,0,0,0,0,0,0,0,823,960,16,617,0,431,0,0,0,0,0,0,0,0,0,0,567,0,401,0,2, +781,424,33,0,2006,0,0,274,0,0,1882,0,794,0,0,0,1848,0,0,0,0,0,0,448,47,0,0,0, +1199,0,0,0,0,0,0,0,0,417,0,0,0,0,0,0,0,0,0,0,295,0,0,0,0,0,0,0,1019,0,0,0,0,0,0, +0,0,0,0,0,0,0,620,0,0,0,0,464,0,0,0,0,208,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,442,0,930,0,0,0,0,0,516,68,0,0,0,0,0,1128,104,0,0,0,0,0,0,0,0,787,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,491,0,0,0,0,0,0,711,0,0,9,0,101,441,0,0,0,0,0,0,0,0, +0,0,160,396,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,679,326,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,1128,0,0,0,0,0,737,0,1796,0,0,0,0,0,0,0,0,0,0,0,0,338,574,0,0, +0,0,0,1096,491,405,0,0,0,0,0,1081,0,0,0,0,0,0,0,0,0,0,0,0,0,1676,0,1207,0,0,0,0, +0,0,969,354,0,0,0,0,598,0,297,0,0,0,0,0,0,0,0,1772,751,0,37,0,0,1828,0,0,0,0,0, +0,0,0,0,257,191,582,0,0,0,0,0,0,790,0,0,0,0,0,47,0,0,0,0,0,0,0,449,306,1011,0,0, +0,0,0,299,0,0,0,0,0,0,837,0,0,0,0,0,0,10,329,0,0,0,0,0,1320,0,0,0,0,0,0,158,657, +0,1191,0,0,0,0,0,0,7,0,974,1939,0,1665,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,288, +66,0,0,0,0,494,175,0,1643,0,0,0,0,0,0,0,0,570,750,719,0,0,0,0,0,0,0,0,0,0,0,0,0, +13,0,0,1247,0,0,221,356,0,0,0,0,0,0,0,0,0,0,694,1809,0,0,0,0,0,0,0,411,0,44,31, +0,0,0,0,669,0,673,0,0,0,0,0,0,0,0,0,1303,704,299,0,0,0,275,0,0,216,1761,0,0,0,0, +0,0,0,0,0,0,0,1319,0,0,428,0,0,0,0,0,0,0,0,0,0,514,0,0,0,0,0,0,49,55,102,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,364,0,0,0,0,379,0,921,971,52,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,1258,0,0,0,1058,0,0,0,0,0,656,0,0,0,0,0,144,0,0,0,0,0,0,0,0,0,0, +0,1373,10,605,0,0,0,0,0,0,0,838,0,1012,0,0,0,0,0,0,0,0,0,0,0,0,0,0,154,365,0,0, +0,0,0,0,0,0,0,340,0,0,0,0,0,810,0,0,0,0,0,0,495,0,0,0,0,0,0,0,0,0,261,0,535,248, +0,358,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,567,445,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,697,0,0,0,1336,0,0,0,0,0,0,0,0,917,174,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,972,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,351,0,0,0,0,0,0,0,0,0,0, +0,0,0,286,0,0,56,438,0,0,0,0,0,1950,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,738,0,0,0,0,0, +0,0,0,0,0,969,2047,0,0,0,0,0,0,0,818,0,0,0,0,0,0,0,866,0,0,0,0,0,0,0,1467,0,0,0, +0,0,0,0,0,0,0,0,0,0,972,0,355,0,0,0,116,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,267,189,104,0,0,0,0,1613,0,0,0,0,0,0,0,116,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,886,0,86,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,45,0,0,863,0,0,0,0,0, +0,0,1953,450,1773,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,381,0,0,0,0,0,0,0, +0,0,0,0,0,1142,0,1189,0,0,0,663,0,0,0,0,0,0,0,846,0,0,528,0,393,378,0,0,0,0,0,0, +325,899,680,1880,0,1770,0,0,0,0,0,648,0,0,0,0,0,0,185,167,0,2046,0,0,0,0,0,0, +249,1645,0,152,0,0,0,1733,0,0,0,0,0,1006,0,0,0,0,0,420,0,0,0,832,0,0,0,0,0,351, +0,0,0,0,6,40,0,0,60,0,0,0,0,1354,745,724,0,0,0,0,0,0,0,0,772,1951,275,108,639,0, +0,0,0,0,0,0,0,0,500,1758,0,0,0,0,0,0,0,0,0,0,0,1886,711,205,0,0,965,865,0,0,0, +534,0,0,0,0,691,0,0,0,237,443,0,878,0,0,0,0,0,1410,0,0,0,0,0,0,0,0,0,0,0,0,0, +995,0,0,0,0,0,0,0,0,0,0,0,0,0,578,0,0,0,0,881,0,0,0,0,0,0,0,0,822,0,923,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,924,0,0,0,665,0,0,0,0,0,1901,0,0,0,0,0,950,498,93, +0,0,0,1451,0,0,0,0,0,747,828,788,400,184,0,198,0,0,0,0,0,0,0,0,0,0,0,994,0,0,0, +0,0,0,0,0,615,320,0,0,0,978,843,905,0,0,0,0,0,0,0,0,850,974,0,0,0,0,6,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,509,0,0,0,0,0,273,0,0,0,0,0,0,0,0,0,0,0,0,0, +201,0,0,0,1041,0,0,0,1040,0,0,0,0,0,0,0,0,0,693,234,774,0,336,0,1399,22,0,805, +802,777,167,789,0,0,1705,0,0,0,0,0,0,0,0,0,0,0,10,13,11,0,0,204,264,0,0,56,0,0, +1917,0,470,0,0,0,0,0,0,0,0,0,0,0,1198,0,0,0,0,0,0,0,0,0,0,1015,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,715,0,0,1002,0,0,0,298,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,867,0,0,724,0,0,0,0,0,0,0,0,0,0,0,0,768,0,0,0,0,0,1066,0,0,0,0,67,0,174,948, +0,0,0,0,0,0,0,0,0,0,0,0,0,764,0,0,0,0,75,137,0,756,0,0,0,0,0,0,1008,842,643,0,0, +0,67,0,0,0,0,0,0,0,0,0,0,0,135,821,0,0,0,0,0,0,0,0,736,0,389,355,0,0,786,0,0,0, +0,0,0,2044,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1030,0,0,0,1083,0,0,0,0,0, +1226,0,0,0,0,356,319,8,389,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,474,0,0,0,427, +0,413,0,730,0,0,0,0,0,373,0,0,0,0,0,0,0,0,0,799,0,0,0,1793,0,0,0,322,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,89,290,2,0,0,0,0,0,0,0,0,0,0,672, +699,1860,0,0,0,737,0,0,0,1612,0,0,0,0,0,0,0,0,0,0,0,145,124,884,0,0,0,0,0,387,0, +0,0,0,0,0,0,0,0,0,0,679,0,550,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1305,0,0,0,0,0,0,0, +576,0,0,0,0,0,0,0,686,0,607,0,0,37,0,0,0,0,0,0,0,0,0,101,1726,0,0,0,0,0,958,0,0, +0,903,0,0,0,0,147,0,0,0,0,0,0,0,0,0,0,0,367,0,0,0,0,690,0,705,273,0,0,887,0,0,0, +0,0,0,0,0,0,0,0,90,0,0,0,0,0,0,0,908,0,0,0,0,0,0,0,1261,0,0,497,1235,0,429,0,0, +0,0,904,0,12,125,0,0,0,841,0,0,0,0,0,860,946,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,768,0,770,160,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,271,0,0,0,0,0,0,0,719,0,699,581,0,0,0,0,0,0,0,0,0,0,862,304,0,631,0,0,0,0,880, +1513,0,0,0,0,0,981,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,434,0,0,0,0,0,550,0,0,476,930, +824,553,0,0,452,0,151,0,0,0,0,0,0,772,0,292,135,0,0,0,0,0,0,0,504,0,0,1089,0,0, +0,0,0,0,0,0,0,0,0,783,0,0,0,0,0,0,206,393,0,0,0,0,0,0,0,0,232,912,0,0,0,0,0,977, +0,0,716,98,0,0,0,0,0,733,0,0,0,0,0,0,0,0,19,0,0,0,0,668,0,360,0,0,0,0,0,0,656,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,726,0,0,0,0,0,0,0,0,0,0,0,0,72,0,0,1269,0,0,463,0, +0,0,0,0,0,1454,0,1287,245,0,989,0,0,0,0,0,0,0,0,0,107,164,0,0,0,0,0,0,0,1061,0, +0,0,0,2,484,0,0,0,0,0,0,0,1127,0,0,0,0,0,0,0,460,0,0,0,0,0,932,0,0,0,0,0,0,0, +588,625,0,0,0,0,76,92,0,0,0,0,0,0,0,0,0,0,0,0,0,104,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +763,0,622,0,0,0,253,0,546,0,0,110,0,256,916,0,0,35,212,0,0,746,0,0,0,150,0,0, +1466,0,0,0,1299,0,0,0,0,0,0,0,0,0,1518,0,0,0,0,0,0,0,0,0,0,0,0,0,1229,0,0,0,816, +0,0,0,0,0,0,159,0,0,0,0,0,734,869,126,1716,0,0,0,0,0,0,202,232,0,0,0,0,212,0,0, +0,0,0,111,1003,0,0,0,0,0,0,0,0,0,0,0,1712,0,0,216,0,0,0,0,516,0,0,0,0,0,650,0,0, +0,0,57,99,0,0,0,0,300,574,0,0,0,0,1023,0,0,302,0,1871,0,728,252,0,0,461,0,0,0, +323,0,0,0,0,0,0,775,461,0,0,0,0,0,0,172,0,0,464,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,73,727,0,1023,0,0,0,0,0,0,0,0,0,0,577,0,0,0,0,0,0,0,0,1037,0,0,0,0,0,0, +0,0,280,677,0,0,0,0,0,0,0,0,0,0,0,799,0,0,0,0,159,0,446,1730,0,0,0,0,0,0,0,0,0, +395,0,0,0,0,145,0,0,0,0,0,0,0,20,0,0,426,608,0,0,0,0,0,977,0,250,0,0,0,0,0,100, +0,0,0,0,1982,0,0,0,0,0,476,0,0,0,0,0,0,594,76,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,447,0,0,0,0,526,0,0,14,1124,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,188,0,0,0,0,0,0,0,0,362,301,0,0,0,1743,0,178,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,872,0,831,0,0,208,202,0,0,0,0,0,0,0,1954,0, +0,0,0,516,872,0,0,313,224,0,0,24,0,11,546,0,0,0,1937,242,241,46,0,0,0,830,1273, +0,0,0,0,0,0,0,825,327,1006,0,0,0,0,0,1580,516,366,0,0,0,0,0,1736,0,0,0,0,0,0,0, +0,0,0,0,1935,0,826,0,0,0,0,139,331,0,0,0,0,0,0,0,0,0,0,0,288,0,916,0,0,0,0,0, +1888,0,0,0,0,0,0,0,1471,0,1570,0,394,0,0,0,0,0,0,0,1931,0,1719,0,658,228,0,0,0, +0,0,374,0,0,0,0,735,0,0,0,0,0,0,323,498,0,1063,0,0,0,0,155,0,0,0,0,0,0,0,0,906, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1139,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,108,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,616, +902,0,0,0,0,0,692,0,0,0,0,0,0,823,0,0,0,305,0,0,0,0,0,0,0,681,0,0,0,0,0,214, +1004,0,0,0,0,0,0,0,23,0,0,1703,0,0,0,0,0,0,0,0,0,1443,0,0,19,714,0,0,0,0,64,737, +0,0,345,1758,0,0,579,47,0,0,539,139,0,0,0,0,388,0,0,0,0,253,0,0,0,0,0,0,252,0, +745,0,0,0,0,0,0,0,0,0,0,0,504,107,0,871,0,0,0,229,0,0,0,0,0,903,0,0,71,0,0,549, +6,47,0,0,0,0,0,0,0,0,0,980,865,705,0,0,0,161,0,0,0,0,143,1331,0,0,0,1388,33,724, +0,0,0,19,0,0,0,395,0,0,0,0,0,846,210,0,0,0,122,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,695,937,497,0,0,0,0,0,718,0,0,0,0,0,0,0,1581,0, +0,0,0,0,0,161,49,0,0,0,0,0,0,0,0,0,597,0,0,0,1094,0,0,0,811,908,0,0,0,0,0,0,0,0, +0,0,1471,0,0,0,0,0,0,0,0,0,0,42,1935,0,0,0,2014,66,2007,0,0,586,0,0,0,0,0,0,0,0, +0,28,1077,0,0,0,1221,0,0,62,0,0,0,0,0,0,0,0,0,0,1766,0,0,0,0,0,0,0,0,0,0,0,0,25, +0,499,1388,0,0,97,10,0,0,0,0,0,481,0,0,0,0,0,0,0,0,0,0,37,134,155,486,0,1442,0, +0,0,0,0,591,0,0,0,0,0,0,310,1173,0,0,0,0,409,1156,0,0,0,482,0,0,263,926,0,0,0,0, +0,0,0,0,0,0,0,0,0,804,0,0,0,0,0,0,0,0,0,0,0,0,0,1265,0,415,0,348,0,0,0,1012,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,165,1803,0,0,0,0,0,0,0,408, +0,0,0,0,0,0,257,1321,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1138,0,0,0,249,0, +0,0,576,0,0,0,0,231,0,0,0,288,0,0,0,0,0,0,0,0,0,433,1487,569,1678,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,87,0,0,0,0,0,779,538,0,0,0,413,0,0,0, +0,0,0,0,0,0,0,495,0,0,0,0,0,191,54,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,530,567, +0,0,0,0,0,1484,0,0,0,0,0,0,815,609,0,0,0,0,0,484,0,0,0,0,0,0,0,0,0,0,900,0,0,0, +0,1335,0,1724,0,0,0,0,0,0,0,0,0,0,0,640,0,0,0,0,0,0,0,0,0,0,0,1831,0,0,0,0,0,0, +0,0,0,0,0,0,0,474,0,0,0,0,0,0,0,0,0,1103,0,1504,655,1034,0,0,0,0,0,305,0,0,0,0, +0,0,0,0,0,1236,0,0,429,217,0,0,0,0,739,278,0,0,0,0,0,0,0,708,0,0,0,0,0,1840,233, +0,0,0,0,0,0,0,0,2017,0,0,0,0,0,1488,0,0,0,1590,0,0,0,0,0,1800,28,0,0,0,0,0,0,0, +0,0,45,0,36,0,22,1442,378,0,0,0,0,0,0,1507,0,0,0,0,0,0,0,0,0,0,39,0,0,1054,725, +1955,0,2036,0,0,0,0,0,0,0,0,0,0,896,1871,0,0,0,0,0,0,0,0,0,0,805,0,0,0,0,2046,0, +0,0,0,17,712,0,617,55,320,271,0,0,0,0,0,0,0,0,0,445,0,184,103,0,0,0,0,0,0,0,0, +659,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,676,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +337,0,0,0,506,0,0,0,0,0,843,77,0,458,0,0,0,0,0,1420,382,109,142,330,0,0,0,0,0,0, +0,0,0,0,0,0,87,0,0,0,492,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1239,0,0,0,0,0,0, +211,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1049,0,321,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,1985,0,0,122,0,0,234,0,0,0,1098,0,0,0,0,0,0,549,253,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,522,131,0,0,149,0,0,0,0,0,0,0,0,0,0,0,0,0,0,507,0,0,0,0,811,630,0,0,0,343, +0,0,0,0,0,448,591,455,0,1381,0,0,0,0,0,0,0,575,0,0,0,0,0,1175,0,0,0,0,0,0,0,0,0, +653,0,0,0,1761,0,1198,0,0,0,0,297,1127,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,678,0,0, +164,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,35,0,45,0,0,0,0,0,121,0,0,0,0,0,0, +0,0,125,0,0,0,1622,0,0,0,0,0,721,145,0,0,0,970,792,0,0,0,715,0,0,0,0,0,1999,0,0, +74,531,0,0,65,0,0,0,105,220,0,0,0,0,0,0,0,960,0,0,0,0,0,0,428,19,0,0,401,96,0,0, +0,0,0,1595,116,0,1021,0,0,0,0,0,750,1961,0,0,148,0,0,0,0,0,0,0,0,0,0,0,0,0,75,0, +0,1383,0,0,0,0,0,0,0,0,0,0,0,0,0,0,779,0,0,0,0,0,0,0,0,598,0,424,0,0,0,0,0,0,0, +1222,0,0,0,876,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,133,0,0,0,0,187,0,8,0,0,0,0,0, +0,0,429,0,685,0,0,0,0,0,0,0,0,0,0,0,132,472,0,0,0,0,0,0,0,0,0,938,0,0,874,0,0,0, +0,0,774,0,0,0,0,0,92,0,0,0,0,0,0,830,701,0,0,0,0,0,426,350,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,603,59,0,0,0,0,0,0,0,0,0,0,293,0,0,0,0,0,0,0,0,0,0,0,0,0,0,441,163,4,0, +0,0,0,0,0,0,0,0,806,0,0,0,0,0,0,233,0,0,0,0,1994,0,1739,0,0,393,0,47,1038,0,0,0, +309,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,363,0,0,0,175,0,0,0,0,0,0,0,666, +0,0,1675,0,1600,0,0,0,808,0,0,0,0,0,0,0,0,0,0,0,280,54,0,0,0,0,0,0,0,0,421,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,249,0,0,103,254,0,262,1,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,805,0,0,0,0,0,0,0,0,0,1630,0,0,0,0,0,0,0,0,0,0,0,0,0,671,972,989,0,0, +0,0,0,0,0,889,0,0,0,1382,0,0,0,0,0,0,0,775,0,0,0,0,0,0,0,0,0,0,388,202,0,0,0,0, +16,560,0,0,0,841,0,0,566,0,0,0,938,0,0,0,0,0,0,0,0,0,0,912,0,0,0,1361,0,0,0,0,0, +0,618,236,0,1854,0,0,318,190,0,1376,0,0,0,0,0,0,0,349,0,0,0,0,951,1972,0,0,0,0, +0,0,344,0,0,0,0,0,0,0,0,850,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,910,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,0,163,85,0,487,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,145,0,83,0,0,1013,0,0,0,1922,0,0,169,557,66,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,1193,82,0,352,454,57,0,0,1333,396,107,0,370,0,0,0,0,0,0,0,0,0,204,0,0,0, +0,0,1706,0,0,0,0,0,0,0,0,0,0,0,0,394,1204,0,0,0,0,0,1007,0,0,0,1696,0,1519,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,981,0,0,0,0,1072,0,0,0,712,0,1629,0,0,0,0,0,0,0,728,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1271,0,0,0,1608,16,0,0,0,0,485,0,0,0,0,0,0, +153,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1991,0,0,0,0,0,0,0,0,52,0,21,0, +0,0,0,0,0,0,0,0,819,0,0,0,0,0,917,0,0,0,0,784,0,0,0,0,135,0,0,0,0,0,454,0,0,0,0, +0,0,0,0,0,852,1719,0,0,0,0,0,852,0,0,0,0,0,952,0,0,0,0,568,0,0,0,0,0,448,0,0,0, +67,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1826,657,0,729,666,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +669,0,0,0,0,0,0,0,402,0,0,152,0,0,0,0,912,0,0,0,0,0,0,51,320,0,445,0,0,0,0,308, +0,0,0,0,0,386,0,0,239,0,0,130,83,0,143,0,348,0,0,0,0,0,0,0,958,0,0,0,0,0,210,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,430,0,0,0,0,0,0,0,0,0,0,0,0,7,213,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,801,0,0,0,0,0,0,0,0,0,936,0,108,0,0, +0,0,0,0,0,0,0,885,587,219,398,364,0,1165,0,0,342,241,303,0,0,0,0,0,0,0,0,0,0, +1454,0,0,0,0,0,0,0,0,0,0,254,562,0,786,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1294,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,493,216,0,0,0,0,219,341,0,0,0,0,0, +0,0,0,0,0,130,1734,154,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,701,604,0,0,879,0,195, +666,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1669,0,0,0,1791,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,1228,0,0,0,0,0,623,0,0,0,0,0,0,0,798,0,0,0,0,0,0,0,0,0,0,0,0,84, +122,0,0,0,837,0,0,0,0,0,0,1013,0,0,577,0,0,0,460,932,0,0,0,0,0,0,0,0,0,0,0,31, +131,0,0,0,605,0,0,0,1246,0,0,0,0,68,278,165,307,781,0,0,0,0,0,0,33,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,1113,0,0,720,1953,203,0,0,0,0,0,0,0,425,326,0,0,0,0,0, +0,0,0,0,0,241,1316,0,0,0,0,0,416,0,0,0,1300,0,847,0,0,662,358,0,0,0,0,839,1823, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,654,1522,0,0,0,0,0,0,163,0,0,0,0,0,314,978,0,0,0, +601,0,0,0,0,0,946,434,0,0,0,402,411,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,1467, +410,0,0,0,0,0,0,0,0,0,0,0,0,0,0,483,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,677,0,0,0,0,0,0,0,0,0,0,0,0,70,0,0,0,0,1405,0,0,0,0,0,0,108,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,777,0,0,0,0,0,747,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,68,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,505,0,326,0,0,164,628,654,0,0,0, +37,32,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,668,152,0,0,0,0,0,0,0,0,0,0,0,581, +0,0,0,0,44,126,89,0,0,0,0,0,0,0,0,1531,0,0,0,0,0,0,0,0,203,1167,0,0,0,0,0,0,0,0, +531,1232,0,0,0,0,0,943,0,670,231,880,0,1617,0,0,0,1957,0,0,0,0,0,0,0,975,0,0,0, +0,0,0,0,0,0,0,0,242,0,0,0,0,0,0,0,0,0,421,0,0,14,834,0,0,0,0,0,0,0,0,0,0,0,0, +465,0,0,0,0,0,834,688,413,855,0,0,0,590,0,0,0,0,0,0,0,0,114,0,0,0,0,0,0,0,0,0,0, +0,45,169,0,0,0,0,0,0,0,0,0,0,0,198,0,0,565,585,0,0,0,0,0,0,0,0,0,0,0,0,0,691,0, +0,0,593,0,0,0,0,0,0,0,0,0,913,116,0,0,0,0,1360,0,0,0,802,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,673,308,0,709,1006,1895,0,228,0,0,0,1840,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,608,0,0,0,0,0,0,0,0,0,1573,0,2039,136,540,0,0,0,0,0,0,0, +897,0,0,938,1878,0,0,0,0,0,0,0,0,0,1469,0,999,0,299,0,0,0,0,0,0,0,578,0,0,0,0,0, +456,0,0,0,1679,163,693,0,0,0,0,0,0,48,755,0,0,0,0,0,0,0,0,0,0,0,0,338,0,0,0,0, +1091,0,0,0,0,695,0,0,1464,0,0,0,0,0,975,0,0,335,0,0,1979,0,0,0,0,269,1566,630, +396,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1815,634,0,0,0,966,0,0,0,0,0,0,0,9, +412,0,958,0,0,579,382,0,212,0,0,0,0,965,681,0,0,16,0,0,0,0,0,0,0,0,0,0,0,0,655, +0,0,0,0,67,0,0,0,0,0,0,751,0,0,0,0,423,231,0,0,1016,300,0,0,0,0,100,237,0,0,0, +1370,0,0,0,1208,0,0,0,0,0,1219,129,0,0,0,0,0,0,0,0,0,0,0,0,0,0,199,0,0,427,0,0, +0,0,949,665,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,712,0,0,0,0,0,1186,0,0,0,0,0,0,0,0,0,0,295,312,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +151,0,0,0,0,588,4,0,0,0,0,0,414,104,0,0,757,263,0,561,0,0,0,320,0,0,0,0,0,0,0,0, +0,0,0,225,0,0,0,0,37,817,0,974,0,0,0,0,0,0,0,0,0,0,0,0,0,2026,131,235,16,0,590, +1157,0,0,0,0,0,0,0,0,221,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,140,390,0,0,0,0, +0,0,0,1144,0,0,0,464,0,0,0,0,0,0,0,0,0,0,0,0,204,407,303,1218,0,0,0,0,5,325,0,0, +0,0,12,800,0,1783,0,0,0,0,0,0,0,0,0,0,504,621,0,0,0,0,0,0,0,0,0,920,0,376,0,0,0, +0,0,218,580,0,768,454,0,0,0,0,0,0,0,0,0,0,0,0,676,0,0,0,0,0,0,164,0,0,0,0,0,0,0, +0,50,0,0,0,0,0,0,0,0,0,0,0,0,0,120,285,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,226,343, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,29,0,0,1812,0,0,8,0,0,0,21,1125,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,1327,0,0,0,0,575,1598,0,0,0,0,0,0,0,0,0,895,0,0,0,959,0,0, +0,0,0,1759,173,0,0,0,0,266,261,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,1427,0,0,300,1033,0,0,0,0,0,0,0,0,0,0,0,584,0,0,0,0,52,734, +0,0,217,239,0,1129,0,0,0,0,0,0,0,0,732,20,0,0,0,0,0,0,0,0,0,0,0,418,0,0,0,613,0, +0,0,0,0,0,0,0,0,632,0,0,85,984,0,0,0,0,909,694,7,1109,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,167,0,0,0,0,280,62,0,0,33,0,0,359,186,980,0,0,0,0,0,0,0,0,0,0,0,585,0,0,0, +211,0,0,336,145,0,1130,0,873,0,0,840,263,0,0,0,0,0,0,0,0,0,916,0,0,0,0,0,0,0,0, +0,0,155,0,0,0,461,97,0,0,0,0,0,1356,0,0,0,0,0,0,0,593,0,0,0,0,0,1392,0,0,0,0, +126,0,0,0,0,1179,0,0,0,0,0,162,0,0,0,0,0,765,0,187,0,1286,0,0,0,0,0,0,0,0,0,635, +0,0,23,215,0,0,0,1306,0,0,97,716,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,657,0, +0,0,0,0,0,0,0,299,0,0,0,0,0,0,134,0,0,0,0,0,0,0,0,0,0,0,658,1082,0,0,0,0,0,2002, +0,0,0,0,0,0,833,248,0,0,0,0,0,1654,0,0,531,0,0,0,0,0,0,634,0,0,0,0,0,0,0,0,0, +853,573,249,0,0,0,0,0,0,0,0,527,0,0,0,0,1419,0,0,0,0,0,0,20,49,0,0,0,992,0,0,0, +728,0,0,0,0,0,0,0,0,0,0,0,0,497,1579,0,0,0,0,62,268,0,0,0,0,0,0,0,1201,0,0,0,0, +0,0,0,0,0,0,0,0,495,193,0,0,0,0,106,0,0,859,0,0,23,0,0,0,0,0,0,0,813,925,0,0, +223,613,953,0,0,0,0,0,0,0,0,666,0,0,0,0,0,0,0,0,0,670,0,0,40,216,0,0,0,0,0,0, +259,0,0,0,440,1114,0,0,0,0,0,0,0,0,74,475,0,0,188,139,0,797,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,1572,0,0,0,0,39,0,0,0,0,0,0,0,0,0,0,0,0,1594,0,0,0,0,0,0,0,290,0,232, +0,0,887,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,521,14,0,0,0,0,0,741,0,0,0,992,0, +0,0,0,0,0,0,0,111,0,0,425,0,0,0,0,0,789,0,0,0,1593,0,1768,0,0,233,0,0,0,0,943,0, +0,0,0,0,0,0,955,225,245,0,0,0,0,0,0,241,0,0,0,0,1943,0,0,0,1284,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,709,0,0,0,0,0,0,554,0,0,0,0,0,0,0,0,1564,0,0,0, +443,0,0,0,0,0,0,280,0,0,0,0,0,0,0,0,729,0,0,0,348,0,0,0,0,0,0,0,758,848,298,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,829,1422,189,121,0,0,632,812,0,0,556,0,0,0,0,0,436,172, +530,844,232,984,0,0,0,0,0,0,0,0,0,0,147,0,0,0,0,0,0,0,0,537,0,0,0,0,0,859,0,0, +842,0,0,0,0,0,0,0,0,0,0,1291,0,0,0,0,0,0,0,0,0,0,0,1482,612,392,0,0,0,262,31,0, +0,0,0,0,0,0,0,0,0,753,549,0,0,0,0,0,0,696,0,0,0,0,0,0,0,834,0,0,0,0,0,771,0,0,0, +0,0,0,0,0,0,0,0,0,0,921,0,0,0,674,0,0,0,0,0,0,0,0,0,0,308,444,0,0,0,0,0,0,805, +180,0,0,278,271,0,0,214,505,0,1215,0,0,0,0,0,0,387,271,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,1645,42,92,0,459,0,0,330,1557,0,0,0,0,0,0,0,0,113,18,0,0,0, +1742,0,0,0,965,0,0,0,0,0,0,0,0,0,0,0,0,0,182,0,0,65,0,0,0,0,0,0,0,0,0,0,0,0,973, +0,0,0,0,0,328,0,0,588,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1786, +0,0,962,1985,0,0,0,308,508,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,588,0,0,0,0,0,0,614,793,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,290,0,0,0,0,0,0,0,0,0,0,1136,0,0,0,0,0,0,0,0,0,0,796,719,0,0, +326,210,0,0,0,701,758,472,0,0,0,1947,278,1079,0,0,0,0,0,0,497,41,0,0,634,46,961, +0,810,524,0,0,33,0,0,0,0,0,0,0,0,0,0,0,0,532,0,997,0,0,0,0,0,0,0,0,0,0,0,1301,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1298,0,671,0,0,0,306,0,0,0,0,0,0,0,0,0,0, +693,1823,0,0,0,759,0,0,0,0,0,1932,0,0,0,0,0,0,0,0,0,0,0,0,0,0,88,182,0,0,0,1964, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,521,0,0,0,0,0,0,424,857,0,0,0,0,671,328,0, +529,0,0,0,0,0,716,0,1509,80,67,0,0,0,0,59,141,0,0,0,0,0,0,783,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1498,0,0,0,0,343,430,803,1183,677, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1357,53,0,0,0,0,590,0,0,0,0,0,0,0,0,0,0, +0,0,0,329,0,0,0,0,0,0,0,469,0,0,0,0,0,0,0,0,0,0,460,0,0,1743,0,0,963,340,0,0,0, +0,0,1603,0,0,250,0,0,0,0,0,646,218,0,1794,0,0,0,571,0,455,0,0,0,1012,0,0,0,0,0, +0,0,0,0,0,0,0,597,161,0,349,0,524,0,0,0,0,0,0,0,0,0,0,0,0,322,432,0,0,0,0,0,0, +325,223,0,0,0,0,0,566,0,0,0,1394,481,436,0,48,457,610,756,618,0,0,0,755,0,1217, +0,0,0,0,0,197,0,0,0,0,0,0,0,0,0,0,0,0,0,0,544,492,107,414,0,0,0,0,0,0,0,0,0,0,0, +1007,0,0,0,0,5,0,0,1580,0,0,0,0,0,0,0,0,0,0,0,0,0,673,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,1843,0,0,0,0,0,0,0,0,0,165,0,0,0,0,0,0,809,885,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,498,0,0,0,306,9,0,0,0,0,0,0,0,437,721,146,0,0,0,0,0,0,0,0,0,0,0,177,0,0,0,0, +0,0,0,1377,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,200,0,959,0,0,0,1928,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1435,0,481,0,0,0,0,0,0,142,84,0,0,0,0,0, +1015,0,0,0,315,0,0,0,0,0,0,759,0,0,0,0,0,0,0,0,712,0,0,0,1722,0,0,0,0,0,0,0,0,0, +0,0,0,222,0,985,1414,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1273, +538,706,0,0,0,0,0,0,0,0,115,0,0,0,0,0,0,0,0,0,0,1781,0,0,0,0,0,431,97,665,42, +237,0,0,0,264,0,0,213,0,0,0,0,0,0,0,455,0,0,0,906,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +624,0,574,0,0,0,0,0,0,0,0,0,0,0,0,354,0,0,0,1558,0,0,0,0,0,0,0,0,0,0,0,0,0,0,68, +235,723,1813,0,0,0,957,0,830,0,0,0,0,0,0,0,0,0,0,0,0,23,0,0,496,0,0,0,0,0,0,0, +547,239,88,0,0,0,0,0,0,0,0,0,1310,0,0,0,0,0,0,0,0,80,1076,0,0,118,0,0,0,479,274, +0,0,0,0,0,0,0,0,0,0,0,497,0,0,669,261,0,0,0,0,13,0,0,0,0,0,0,791,250,642,0,0,0, +1429,939,949,0,0,0,0,0,0,0,0,0,0,0,0,0,818,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,982,330,0,0,0,0,545,0,0,0,0,0,0,947,0,1188,0,0,0,0,0,904,0,0,0,0,0,1372,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,693,377,0,0,0,0,0,0,0,0,0,0,0,0,0,0,695,0,0, +713,386,0,0,0,0,128,1575,0,0,0,0,0,0,424,893,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,904,0,0,0,0,0,552,322,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,28,1808,49,0,0,0,0, +1832,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,421,0,0,442,415,0,0,289, +0,0,0,0,0,206,110,0,0,0,0,0,205,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +19,1539,0,0,0,0,0,1340,0,1194,0,0,0,0,0,0,0,0,549,0,0,0,0,0,0,0,0,1720,0,0,0,0, +0,0,0,0,0,319,0,0,0,0,112,1180,0,0,0,0,0,0,0,0,0,0,0,967,0,0,0,0,0,0,0,0,0,1940, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,735,0,0,0,0,0,0,0,0,0,897,132,0,0,0,0,0,0,0, +0,0,0,38,838,0,0,0,379,218,8,660,1017,0,0,0,0,0,0,111,387,647,877,0,0,53,790,0, +0,0,0,0,0,0,0,458,0,0,0,0,0,0,954,0,0,0,394,0,1367,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,882,0,0,0,0,0,0,0,1409,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,38,124,342,199,0,0,0,0, +0,0,0,0,0,0,724,628,0,0,0,0,804,266,0,0,0,0,0,208,0,79,0,0,0,0,0,0,0,0,741,0,0, +0,0,0,0,0,0,0,0,606,0,1494,821,1553,0,0,135,405,0,0,178,100,0,0,0,0,0,0,0,0,0,0, +0,0,0,481,0,0,0,1378,0,0,0,0,0,0,0,0,0,0,0,0,0,791,33,1227,857,0,467,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,447,0,0,0,0,0,0,86,128,0,0,0,0,0,0,587,0,0,0,692,1018,0, +195,0,0,0,0,0,0,0,1546,0,0,0,0,0,0,0,0,0,0,0,684,0,0,345,0,0,0,0,0,0,365,0,1683, +0,0,472,0,433,0,0,0,0,0,0,0,28,0,0,0,997,0,705,3,0,0,0,0,0,0,0,0,0,229,0,0,0,0, +102,0,0,0,0,866,1022,0,0,0,0,0,0,0,0,0,55,0,115,0,0,0,0,933,0,0,0,0,0,0,0,702,0, +0,0,0,0,0,0,1728,26,484,0,0,0,185,618,417,0,803,0,0,0,0,0,0,0,0,0,0,0,1262,0,0, +0,0,0,0,0,0,0,0,0,0,0,633,0,0,0,0,0,0,0,0,0,0,0,0,0,479,262,0,0,0,0,0,0,830,0,0, +0,0,26,70,0,0,0,0,0,0,0,0,217,0,640,51,0,0,360,1586,0,0,0,0,0,652,0,0,0,0,0,766, +0,0,0,0,298,737,0,0,0,0,0,0,0,0,0,0,655,222,906,0,0,1013,991,2009,0,0,0,0,503,0, +0,0,216,154,0,0,0,716,0,844,0,0,0,0,621,252,0,0,0,0,748,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,103,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,576,0,0,0,648,0,0,0,331,0,0,0, +0,0,0,0,0,0,0,0,0,632,0,0,0,518,107,0,0,0,0,0,0,0,0,851,0,0,0,0,504,0,0,0,0,0,0, +0,0,0,0,0,0,7,883,0,0,0,0,0,0,0,922,0,0,0,0,0,0,0,0,91,993,0,0,0,0,0,0,200,131, +10,0,0,0,0,0,0,0,0,0,0,0,0,0,365,1433,0,0,0,0,28,103,0,0,798,1013,0,0,0,0,0,0,0, +0,39,1925,0,853,0,0,271,519,0,0,0,0,338,0,0,300,470,419,0,0,0,0,0,0,836,0,0,0,0, +0,0,1937,0,0,0,0,0,393,0,0,357,0,0,0,0,0,703,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,387,0,0,0,0,0,0,75,708,453,1351,0,303,0,0,772,0,0,0,0,0,0,0,0,749,0,0, +0,0,0,0,0,0,0,0,0,0,0,1065,0,0,717,226,0,0,0,0,0,890,431,626,0,0,0,0,706,0,0,0, +51,698,0,0,0,0,0,0,0,0,0,0,0,828,0,0,17,0,0,0,0,1929,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,84,0,0,0,0,0,0,0,0,0,0,0,0,0,0,27,871,498,0,101,1793,0,0,0,0,0,0,435,0, +0,0,0,0,966,0,129,1644,0,0,0,0,0,0,0,0,0,0,0,0,0,997,502,0,0,0,0,0,0,0,0,0,0,0, +0,823,0,1927,0,0,0,0,98,1756,0,0,0,0,0,0,0,0,0,0,0,0,8,0,160,1046,0,492,0,0,0,0, +0,0,129,45,0,0,0,0,0,0,353,558,0,0,0,0,0,785,0,0,0,1145,189,0,0,0,26,353,0,0,0, +0,0,2024,0,0,0,606,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,32,855,0,0,0,0,0,0,0,0,0,0,0, +0,0,2011,0,0,5,4,0,0,461,764,0,0,0,1449,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1445,0,0, +0,1168,0,0,0,233,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,255,0,0,216,0,0,0,286,0,0,0, +3,0,0,0,723,536,0,0,0,0,0,285,0,0,0,560,0,0,0,0,0,690,0,0,0,0,0,1246,0,0,63,0, +33,0,0,0,0,0,520,1862,0,0,0,0,0,0,0,0,0,0,0,0,630,0,0,0,0,554,0,0,0,0,0,1001,0, +0,0,0,0,446,0,0,0,0,0,0,0,1313,0,0,837,636,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,278, +0,0,0,0,0,0,0,0,868,0,0,0,0,1010,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +1231,0,304,0,506,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,0,93,1408,794, +843,704,0,285,114,485,898,145,0,19,2035,0,0,0,1933,0,0,0,0,0,0,0,1728,0,0,0,0,0, +0,0,0,746,0,0,0,0,0,0,0,995,1964,0,0,0,0,0,0,0,0,0,0,0,1550,0,874,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,1018,0,0,0,814,126,0,0,1264,0,0,814,955,0,0,0,0,0,0, +0,981,0,0,0,0,0,0,0,0,915,56,0,0,100,0,0,0,0,0,0,0,0,0,638,0,0,0,0,738,0,0,0,0, +0,0,0,0,0,758,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1112,0,0,214,0,0,0,133,0,196, +168,0,0,0,0,0,1152,0,1245,0,0,538,169,871,1816,0,0,413,133,0,0,0,978,0,0,43,93, +371,0,0,0,0,0,0,526,25,0,754,335,0,0,0,0,182,0,0,0,0,0,0,0,0,0,0,0,39,601,0,0,0, +0,0,0,0,181,370,0,0,1652,358,0,0,0,0,0,0,0,0,0,176,286,0,788,0,0,0,0,0,1223,780, +254,1003,896,0,0,0,1447,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,744,0,0,0,0,0,126,0, +41,788,0,0,0,629,0,0,0,0,0,0,0,0,0,0,0,293,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,420,37,1900,0,0,0,0,542,1570,957,0,0,0,0,0,0, +0,373,31,0,0,0,0,125,325,0,0,0,0,0,0,323,0,0,1547,0,0,0,0,0,0,0,0,0,0,0,0,0, +1216,0,0,0,0,0,0,198,1905,629,15,0,0,0,0,0,0,20,75,543,1353,0,0,0,533,0,0,6,0,0, +0,0,0,0,538,0,0,0,0,0,0,0,0,0,0,0,338,0,0,0,0,11,0,0,0,284,659,0,989,0,0,0,0,0, +0,0,0,0,848,0,0,507,0,0,0,0,0,0,0,0,188,991,884,0,0,0,0,60,959,0,0,0,0,0,1653,0, +0,922,337,0,638,0,0,500,0,0,0,0,0,0,0,0,0,0,0,166,0,0,0,0,0,0,0,0,0,0,0,0,418,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,760,0,0,0,0,0,0,1277,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,770,0,0,0,0,0,0,0,243,89,0,0,0,0,0,0,0,0,0,1396,0, +560,0,0,3,1658,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,586,0,0,1271,0,0,0,505,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,637,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1947, +41,445,0,0,0,0,0,0,0,0,57,189,0,0,371,0,0,0,0,552,0,883,0,923,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,875,0,0,0,1788,49,0,0,0,0,0, +0,0,0,0,0,0,661,0,0,1945,0,0,0,0,0,794,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,1135,0,0,0,745,0,0,0,0,0,0,0,84,0,0,0,0,0,0,0,410,0,976,0,0,0,0,0,703,0,0, +0,0,0,0,187,322,0,0,0,227,0,0,0,0,560,0,31,1395,0,0,0,0,0,466,0,0,0,0,643,167,0, +0,0,1428,0,412,0,0,0,0,0,0,0,0,0,1118,562,0,0,0,0,0,256,0,0,0,0,0,0,1771,0,0,0, +0,0,1190,132,0,66,0,0,0,0,0,0,0,0,0,0,317,0,0,0,63,0,0,0,0,0,0,0,1475,0,0,0,0,0, +0,0,288,0,0,0,0,608,0,0,0,0,0,0,0,0,1225,0,1189,0,0,0,0,0,0,0,1468,0,0,0,0,0, +689,120,0,0,0,0,0,0,0,1,0,329,0,0,0,0,226,0,0,0,0,0,1855,0,0,461,0,0,0,0,1346,0, +0,0,0,0,85,0,0,299,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1171,0,0, +0,980,0,0,0,0,0,0,0,0,637,279,0,0,0,0,0,293,0,0,0,0,528,17,0,0,0,0,5,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,48,0,0,0,0,0,0,0,601,0,0,0,0,0,0,779,0, +196,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1322,737,752,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,412,192,80,0,0,8,1470,0,0,0,0,0,0,0,0,0,873,0,0,0,0,0,835,0,0,0,0,256, +38,986,0,0,0,0,0,0,0,0,0,91,257,278,911,0,0,0,0,0,0,0,0,749,151,0,0,0,0,0,0,0,0, +0,0,0,0,989,0,0,990,0,0,90,194,0,0,0,0,0,425,0,0,0,0,0,774,0,0,0,0,0,0,0,0,0,0, +646,827,752,0,0,0,662,0,22,21,0,0,0,0,0,0,95,239,0,0,0,431,0,0,0,0,0,874,0,0, +265,65,0,0,0,1350,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1887,0,0,0,0,0,0,0,809, +0,696,0,1074,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,630,0,0,802,0,0,0,56,776,0, +970,0,0,797,0,0,0,0,0,400,0,0,1951,0,0,41,0,11,118,0,0,0,0,0,0,0,0,251,615,0,0, +0,1044,0,0,0,0,0,0,0,0,0,0,0,225,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,370,0,0,0,0, +104,48,209,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,930,0,0,0,0, +0,0,0,0,0,0,0,1286,0,759,0,120,385,0,0,0,429,0,0,0,0,0,0,0,0,820,0,0,0,0,0,0, +199,0,10,151,0,0,0,761,365,0,0,0,0,0,0,0,0,0,46,1086,0,0,0,0,11,1624,58,344,0,0, +1008,1868,0,0,0,888,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,711,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,440,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,914,1913,0,958,0,885,0,0,0,0,0,0,0,0,0,0,0, +0,0,847,276,0,302,65,0,0,0,510,0,1514,0,0,0,0,0,0,152,291,0,0,0,0,0,0,0,0,0,0,0, +0,282,589,0,0,0,0,0,0,0,0,0,0,0,0,0,130,0,0,463,42,0,0,0,0,0,372,0,0,0,0,0,0,0, +0,0,680,0,0,0,0,0,0,0,0,977,1997,0,0,0,810,0,0,0,0,0,0,0,0,0,1390,0,0,0,644,0,0, +867,982,0,0,0,0,0,0,0,540,0,123,0,0,0,1978,0,0,0,0,789,623,0,1723,0,1220,0,0,0, +0,0,0,0,480,0,0,0,0,0,0,0,0,0,0,0,888,0,0,0,0,0,0,0,0,0,0,0,0,299,1995,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,788,179,0,0,0,0,0,0,431,156,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1373,39,80,196,0,0,507,0,0,0,646,0,0,0,0, +0,1214,0,0,0,0,926,0,0,0,1,114,0,0,0,0,0,446,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,490,0,0,0,491,0,1584,0,0,507,250,0,0,0,158, +10,362,1,0,0,0,0,0,0,0,0,0,408,228,860,480,0,779,0,0,0,557,0,0,142,197,0,0,0,0, +0,0,0,0,0,0,0,1490,11,378,316,1057,0,0,18,579,299,1546,0,177,0,0,0,0,0,0,0,0,0, +411,0,0,0,0,727,439,0,0,0,0,0,1528,0,0,0,0,0,0,58,0,482,0,0,0,505,1952,0,0,0,0, +0,0,0,0,0,0,0,242,0,0,0,0,0,0,0,953,0,0,0,0,802,0,0,0,0,0,0,0,0,0,0,290,0,0,791, +52,0,0,0,0,0,0,0,0,0,0,0,112,0,0,0,0,0,1028,0,0,138,0,0,0,0,1811,0,0,0,0,0,0, +934,1821,0,0,0,0,371,38,0,0,0,1296,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,723,0,0,0,0,0, +0,0,0,0,0,0,0,0,1330,0,0,0,0,0,0,0,1255,296,109,0,0,0,0,0,660,0,0,0,0,270,591,0, +0,0,0,0,0,0,1090,81,0,0,0,0,391,0,0,0,0,249,322,0,0,0,0,0,0,0,1412,0,0,0,0,0,0, +0,0,0,0,526,632,0,0,0,0,0,0,235,144,0,0,0,0,0,940,0,0,0,52,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,309,196,0,0,0,0,0,1912,0,1290,0,686,0,0,625,0,0,0,0,0,0,0,0,0,0,0,412,0, +0,0,0,43,0,0,0,0,11,967,758,0,0,0,0,0,0,0,0,0,0,0,0,0,0,220,0,0,0,0,0,0,0,0,0,0, +873,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,890,0,0,2,0,0,0,0,0,0,0,0,1774, +393,263,0,0,0,0,0,0,818,456,0,0,251,178,393,97,0,0,0,0,0,674,168,0,0,0,0,0,0,0, +159,1639,0,0,0,0,0,0,0,0,59,934,0,191,0,0,0,0,346,165,0,877,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,128,0,0,0,0,0,0,1297,0,0,0,0,0,0,164,0,0,0,15,132,241,1073,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,228,324,53,0,0,910,0,0,0,0,0,0,0,0,734,705, +217,73,0,0,0,0,0,0,0,0,636,389,0,1409,0,0,0,0,0,893,0,0,0,0,21,0,0,0,0,0,0,0,0, +0,0,0,0,0,721,0,0,0,959,0,0,0,0,1433,0,0,0,0,0,0,0,0,0,0,0,0,174,189,0,0,0,0,0, +0,0,0,0,0,22,2,0,0,815,354,0,0,0,0,425,0,411,60,13,1611,0,0,0,0,0,0,0,0,0,0,0,0, +0,1478,596,0,0,398,0,50,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,192,1159,0,0,0,0,0, +592,223,0,0,0,0,0,0,0,245,64,0,0,0,0,278,0,604,0,0,1502,265,0,0,0,0,0,0,0,310, +1763,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,129,0,0,0,0,0,0,0,0,0,1356,0,0,0,0,0,0,0, +0,505,0,0,0,0,0,0,0,1000,0,0,966,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,839,0,0,0,0,0,0, +0,0,0,0,0,0,0,637,0,0,0,0,0,0,0,0,0,0,0,0,0,0,590,0,0,0,0,280,0,0,0,1386,0,0,0, +281,0,1064,0,0,0,0,0,917,0,0,15,555,0,0,1014,1883,0,0,0,965,0,0,117,33,0,0,0, +801,0,0,0,0,0,877,0,824,0,0,0,0,0,0,0,0,0,0,0,365,0,0,0,0,0,0,774,7,0,430,0,0, +231,360,0,0,0,0,0,0,0,0,822,740,0,0,929,1485,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,852,0,0,0,0,17,0,0,0,0,0,0,1001,0,0,0,0,35,831,0,0,384,457,0,0,0,1351,0,27, +0,0,984,0,264,552,0,401,0,0,0,710,0,1211,0,0,11,205,0,0,0,0,0,0,0,0,0,0,0,0,5, +579,0,717,0,0,1011,0,0,0,0,0,0,0,0,0,0,0,0,0,0,805,0,0,0,0,0,0,0,0,0,0,0,489,0, +0,0,1024,0,0,0,0,0,0,0,0,0,892,0,0,0,0,0,0,0,0,0,0,0,0,473,0,0,0,659,864,0,0,0, +0,0,0,152,819,0,51,0,0,0,0,0,0,0,0,0,0,130,0,0,0,0,0,229,0,0,0,0,674,0,0,0,0,0, +0,0,0,0,770,52,79,0,0,0,1666,0,409,0,0,0,0,0,0,0,195,0,688,0,0,0,0,0,0,0,0,0,0, +0,889,174,160,0,0,0,0,0,0,0,0,0,0,0,0,0,872,0,918,569,268,0,0,0,1224,0,1361,0,0, +0,0,0,0,0,0,0,374,0,0,0,0,0,731,0,0,0,0,190,0,0,0,0,0,0,0,202,506,444,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,835,0,17,1526,0,0,0,0,0,477,0,0, +994,1374,76,0,0,0,0,0,0,0,355,287,0,1389,0,0,0,0,0,0,455,384,0,0,0,264,0,0,0,0, +0,0,0,0,0,0,0,0,1001,0,0,0,0,0,0,0,0,0,0,0,0,28,0,0,0,851,175,359,0,0,0,0,0,0,0, +0,287,740,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,857,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +819,1402,0,0,0,0,0,0,174,224,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1649, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,655,573,0,0,0,0,0,0,0,0,128,351,0,0,0,0,0,0, +0,0,0,0,0,918,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,687,0,0,0,0,0,0,0,0,0,1525, +0,0,0,1009,0,0,0,0,0,0,0,340,0,0,0,0,0,0,0,0,0,0,861,0,176,0,0,0,0,0,0,0,0,0,96, +985,0,615,0,0,0,0,0,0,0,1919,0,0,0,0,0,1131,0,0,0,0,0,0,0,247,0,0,0,0,27,23,0,0, +0,0,0,0,0,0,38,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1015,0,0,0,0,0,1088,0,0, +0,0,0,1585,0,0,0,0,227,0,0,0,478,360,0,0,0,95,0,0,0,0,0,0,699,0,0,0,26,0,0,0,0, +1119,0,0,0,739,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,741,67,0,0,0,0,0,0,464,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,42,0,96,0,0,0,26,342,0,0,0,0,0,0,203,0,0,449,0, +0,0,0,0,0,0,0,0,0,256,311,0,0,0,0,0,0,758,0,0,0,0,0,0,0,0,827,0,0,0,0,581,64,0, +1047,0,0,0,0,0,288,0,0,0,0,0,1375,0,0,0,0,0,0,0,0,0,0,0,1309,0,0,0,0,0,0,0,0, +376,12,0,0,0,0,0,154,0,1520,0,1753,95,502,0,0,0,0,0,0,0,269,291,1197,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,1341,0,1017,0,0,0,0,0,0,0, +0,857,1810,533,0,0,1453,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,836,211,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,19,0,156,0,0,0,0,1009,0,0,0,0,0,0,0,0,0,0,0,0,0,820,0,0, +0,0,0,0,0,0,0,228,0,0,0,1131,0,1276,0,0,0,0,0,0,0,0,0,0,0,0,849,1792,0,0,389, +291,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,525,0,0, +0,453,0,0,0,0,666,0,0,0,422,0,355,0,0,0,0,165,0,260,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,865,0,0,0,0,0,0,0,1625,0,0,0,234,0,1383,0,0,0,0,0,0,0,0,306,0,0,0,802,1921, +0,0,0,0,0,0,180,0,0,0,0,1312,814,0,0,0,0,0,0,0,0,0,0,707,0,0,0,1493,11,61,733,0, +0,0,341,0,0,0,98,0,0,0,0,0,0,0,0,0,0,0,1014,0,0,0,0,0,0,0,142,102,0,0,30,0,0, +823,0,1045,0,0,0,1930,0,1512,0,0,0,0,0,0,0,87,0,1243,245,0,0,0,0,0,0,0,48,68,0, +0,0,0,0,0,0,0,126,77,625,938,0,0,351,0,0,0,174,1668,0,707,0,0,0,0,0,0,0,0,0,0,0, +403,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,282,0,0,0,0,0,0,8,44,0,0,363,115,0,0,0,0,0,0, +0,0,0,0,0,0,545,761,0,0,835,1254,0,0,0,0,930,1936,0,0,0,0,0,0,0,0,653,0,0,0,0,0, +344,0,0,1483,673,185,0,0,460,93,753,478,0,0,0,0,0,1020,0,0,0,0,0,0,0,103,0,0,0, +499,0,0,0,0,0,0,207,0,0,0,0,0,0,0,0,0,0,0,0,0,0,96,0,968,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,3,0,0,0,0,399,0,0,0,0,224,563,0,0,0,0,0,704,0,0,0,0,0,0,0,0,0,0,0, +1559,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,861,0,0,0,0,946,333,746,0,0,0,0,0, +0,0,910,0,0,0,0,0,0,0,0,0,0,0,0,0,652,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +1393,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1514,0,0,0,0,201,0,510,717,0,0,528,0,0,0,0, +20,0,0,0,1251,0,0,0,1163,0,0,0,307,0,0,0,0,0,1091,0,0,0,0,0,0,0,0,0,0,0,429,0,0, +0,881,0,0,0,0,0,621,0,0,0,0,0,0,0,736,0,348,0,868,0,0,0,0,433,0,0,0,771,1495,0, +0,0,0,215,0,0,0,0,0,124,0,0,0,0,0,0,0,0,0,0,0,55,0,0,0,0,0,0,0,112,62,0,856,270, +0,572,0,0,0,0,939,0,0,0,0,0,0,0,352,0,0,0,0,0,0,0,0,0,647,0,0,0,0,10,0,0,0,0,0, +0,0,220,0,0,0,0,0,0,0,0,0,0,0,0,0,464,0,0,109,0,0,0,1746,0,0,0,515,0,0,0,566,0, +0,0,0,0,0,67,40,0,0,722,992,0,0,923,0,0,0,0,0,0,1145,0,0,0,0,0,0,0,0,0,0,0,568, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,247,0,0,0,0,645,0,0,328,0,0,0,0,0,0,0,0,0,0,0,0, +1363,0,0,0,0,0,1280,0,0,0,0,0,0,0,0,0,0,7,28,360,162,0,0,0,0,0,0,0,0,0,0,0,764, +0,0,833,862,0,856,0,0,0,0,0,0,736,92,0,0,948,1944,0,1479,63,590,0,0,0,1521,0,0, +0,709,0,0,61,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,483,0,0,0,0,1213, +0,0,0,0,29,1022,0,1712,0,466,0,0,0,0,0,0,0,0,0,0,0,0,0,731,0,0,0,0,0,0,171,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,241,0,0,0,0,0,0,0,0,0,0,0,964,2005,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,1100,0,0,0,954,0,0,0,0,0,0,0,0,0,1958,0,0,34,549,994,0,0,449, +137,850,0,0,670,146,0,0,0,0,518,159,0,0,0,0,0,0,0,0,151,0,0,1027,0,0,0,0,0,0,0, +0,0,0,983,0,0,0,0,993,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,141,501,0,0,0, +0,0,0,0,0,0,452,0,0,0,0,0,0,0,0,0,0,233,149,0,0,0,0,0,0,0,0,582,0,0,0,801,0,0,0, +0,0,0,70,0,0,369,0,36,0,0,0,0,0,0,0,204,721,430,241,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1817,16,1078,1021,0,0, +406,0,0,0,0,0,69,0,0,0,0,0,1830,0,0,0,824,0,0,0,0,0,0,0,0,0,826,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,816,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1000,717,1845,0,423,0,0, +0,0,0,0,0,0,510,0,0,1048,0,0,0,618,0,0,0,520,0,0,0,0,990,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,321,0,0,0,0,0,0,0,1135,0,0,921,0,0,0,24,397,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,856,0,0,0,139,282,981,0,288,0,0,0,1890,651,56,0,0,0,0,0,0,0, +0,261,0,0,0,0,0,0,0,0,0,0,0,617,1403,0,1205,0,0,563,0,0,0,0,0,0,0,0,333,0,0,0,0, +0,369,0,0,0,0,0,0,0,0,0,622,0,0,0,1407,0,0,0,0,0,0,0,0,0,0,0,0,624,160,0,363,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,619,0,174,292,0,0,656,616,0,0,0,685,0,0,0,0,0,0,0,0,0,0,0,0,0,647,0,0,0,631,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1267,0,0,0,1797,0,0,0,1684,0,0,469,0,531, +1230,73,0,0,0,0,0,0,0,0,0,268,0,0,0,0,0,102,558,109,65,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,595,0,0,0,0,0,374,1832,0,0,0,0,0,0,16,0,405,6,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,881,0,1495,0,0,0,0,0,0,0,0,0,142,0,0,0,0,0,0,0,0,0,0,21,466,23, +257,0,0,0,0,0,0,77,404,0,0,0,0,0,0,712,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,860, +1848,0,0,652,629,0,0,0,0,13,377,0,1842,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1501,0, +0,0,1906,0,0,0,0,0,0,0,0,0,0,0,0,0,491,234,171,0,0,0,0,631,1186,0,0,0,0,0,0,0,0, +0,0,0,0,931,0,170,0,0,0,0,0,0,0,0,0,0,1587,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +765,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,424,0,0,714,0,0,0,0,685,0,0,0,0,0, +0,285,0,0,0,0,0,0,429,0,0,0,0,0,0,0,0,0,0,71,18,0,0,0,0,0,0,0,0,0,0,116,828,0,0, +0,0,0,0,289,0,0,0,0,0,0,0,0,675,0,0,0,1424,0,0,0,0,0,647,0,0,0,1334,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,36,209,0,0,0,0,0,0,0,342,0,0,0,928,0,0,0,0,0,1838,118,856,654, +318,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,915,895,454,0,0,513,1425,0,0, +0,0,0,0,791,0,153,0,0,0,0,0,0,796,909,445,345,0,0,0,0,0,0,0,0,578,0,0,0,1387,0, +0,0,555,0,0,0,0,0,0,766,0,0,0,0,0,0,0,0,0,0,541,0,0,0,0,0,0,0,0,0,0,0,0,0,880,0, +0,0,0,0,1506,0,0,983,0,768,0,0,0,0,584,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,737, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,226,30,426,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +117,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,462,0,0,0,385,0,398,0,0,0,0,0,0, +0,0,0,347,0,0,0,0,125,1259,644,136,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,469,0,0,0,0,0, +1367,0,0,0,0,0,0,0,0,0,0,0,719,0,0,0,0,0,0,0,0,0,0,0,0,0,1423,0,0,0,0,0,0,0,0,0, +749,0,0,0,0,546,645,0,0,0,0,0,0,277,0,0,1275,0,0,0,0,0,0,0,453,536,555,0,0,987, +1107,0,0,90,0,0,0,0,0,0,0,0,860,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +257,0,1768,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1071,0,0,0,0,0,0,0,0,0,0,0,0,0,83, +0,835,0,0,0,0,0,0,0,2006,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,696,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,95,1718,0,0,0,0,0,0,0,26,0,550,0,0,0,0,0,901,0,0,0,0,0, +0,822,0,0,122,0,0,0,807,0,0,0,0,0,262,0,620,601,34,0,0,170,0,0,0,0,537,0,0,0,0, +0,0,0,0,0,332,0,0,208,1909,182,261,0,0,0,1721,0,0,0,0,0,933,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,1609,0,895,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,812,0,0,942,1916,0,0,0,0, +0,0,0,778,0,0,0,137,0,1314,0,0,0,0,0,0,0,1661,0,0,0,0,0,0,0,1591,0,0,0,0,0,0, +820,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,185,89,0,1160,230,6,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,63,29,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1740,0,0,177, +170,0,1961,0,0,0,0,0,0,0,0,0,0,0,0,91,0,17,44,0,0,0,0,0,0,0,0,0,270,0,296,0,0,0, +0,0,0,0,1523,0,0,0,0,0,0,0,0,0,0,757,7,0,0,0,0,0,0,0,0,0,0,530,588,0,0,0,0,0,0, +0,0,0,786,0,0,0,0,0,580,627,88,447,57,0,0,0,0,0,0,0,0,845,735,0,0,0,0,0,31,15,0, +460,521,12,424,0,0,0,1302,0,0,0,0,0,0,0,595,0,0,0,13,548,97,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,1472,452,1767,0,0,0,0,0,0,0,0,0,0,115,0,0,0,0,0,0,1543,0,1111,0,0,0,0, +1,0,359,488,0,267,0,0,0,1983,0,0,0,0,0,0,0,1155,0,1575,0,1438,31,0,0,377,101,0, +0,0,0,0,0,0,0,0,0,0,0,0,476,0,0,0,0,0,0,0,0,2023,0,0,0,0,0,1836,0,0,0,0,35,843, +0,0,0,0,0,0,0,554,0,0,0,536,625,207,0,1371,0,0,0,424,785,336,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,896,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,27,750,0,0,0,0,238,0,0, +0,0,0,383,0,0,0,0,0,0,0,0,603,725,11,0,0,0,0,0,0,0,0,0,476,0,0,0,0,0,1552,0,0,0, +0,0,0,0,680,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,435,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +1431,0,0,13,112,0,0,356,0,0,0,0,0,0,0,0,0,0,1963,0,0,0,1244,18,0,0,0,0,0,0,867, +0,0,0,0,0,0,50,708,73,592,0,502,0,0,0,0,0,0,161,347,0,0,0,0,470,33,0,246,571,10, +0,465,614,0,237,0,0,0,0,0,24,18,0,506,0,0,0,0,0,0,33,309,0,0,0,0,0,0,0,0,0,0, +140,0,0,0,0,1056,0,0,0,1704,0,0,0,0,0,0,0,1036,0,0,0,0,0,0,0,0,0,1315,432,86, +264,524,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,107,0,0,0,0,0,123,927,0,0,957,1149,0,0, +0,0,0,778,0,502,196,0,0,0,0,1312,0,0,0,0,0,0,0,855,0,0,0,0,0,0,0,0,0,0,45,1400, +0,0,0,1003,0,0,0,0,0,1097,0,0,0,0,0,0,0,0,545,612,0,0,0,0,0,0,0,0,0,0,0,0,54,0, +0,0,0,172,0,0,0,1029,0,0,0,0,0,0,0,0,0,568,0,0,0,732,617,0,0,974,94,989,733,0,0, +0,0,0,0,1789,0,0,665,2015,0,0,0,0,0,0,806,287,0,0,0,0,0,1539,0,0,0,0,0,0,0,0,0, +0,182,1563,0,0,0,0,0,0,0,0,0,484,0,0,0,0,0,1623,0,0,0,0,0,0,0,0,878,1833,0,1569, +0,0,0,0,0,0,0,0,93,0,715,994,0,0,0,0,0,63,0,591,0,0,0,0,0,0,0,749,0,0,0,0,547, +366,0,0,0,1747,0,0,0,0,0,0,0,89,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1463,0,772, +893,0,0,0,48,0,0,941,0,0,690,1785,106,440,0,0,0,0,0,0,0,0,0,0,32,0,332,216,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,852,0, +0,416,564,0,918,0,1764,0,0,3,0,0,274,0,0,0,0,501,0,0,0,0,0,0,0,851,743,0,49,0, +879,0,0,47,0,0,0,0,0,0,865,0,1202,0,0,0,0,0,0,47,272,0,0,0,0,0,0,0,0,0,0,0,1455, +0,0,0,0,891,1911,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,761,0,0,0,0,0,0,0,0,0,407,0, +183,0,0,490,0,0,0,0,0,0,0,35,731,0,0,0,0,0,0,0,819,0,0,0,0,0,0,0,0,0,0,0,0,0, +575,0,0,0,0,45,818,0,0,77,222,0,0,0,0,849,1880,0,0,0,633,0,1308,0,0,0,0,0,0,0,0, +0,0,86,0,0,0,0,0,0,0,0,0,0,0,0,0,0,817,0,0,0,0,0,0,0,0,0,882,0,0,0,914,0,0,0,0, +0,0,0,0,0,0,865,0,0,426,399,58,0,0,0,0,0,0,538,102,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,876,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,139,566,0,63,12,0,0,0, +0,0,0,0,0,0,0,0,0,0,3,114,0,0,0,0,0,0,0,0,576,0,0,0,0,0,0,0,0,933,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,692,0,0,0,0,0,0,0,0,0,0,0,0,752,0,0,0,0, +0,0,0,0,375,0,1011,0,0,96,0,0,0,0,0,0,0,0,0,148,0,0,0,0,0,0,0,0,0,0,0,337,56, +666,0,246,394,0,0,0,0,0,0,0,0,437,0,0,0,506,0,0,0,0,1003,0,1163,0,328,0,0,0,0,0, +0,0,0,1000,0,0,0,0,0,744,101,0,0,0,0,0,726,0,0,176,0,146,9,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,839,0,0,0,0,0,0,223,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,246,1931,29,0,0,1771,0,0,0,0,0,846,6,157,0,0,0,0,0,0,0,0,0,875,0,0,477, +773,177,639,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1747,0,0,0,0,158,873,0,659,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,391,0,0,0,0,0,0,0,0,0,0,0,0,668,883,0,78,628,0,0,0, +0,0,0,0,0,0,0,0,0,1460,0,962,0,0,0,0,0,460,0,0,0,0,0,0,0,0,0,0,0,0,0,0,34,199,0, +0,0,388,474,0,271,0,333,608,0,0,0,0,0,0,49,0,988,0,707,617,0,0,0,0,0,0,0,756,0, +0,0,0,0,1583,0,0,0,0,0,0,0,0,0,0,285,0,0,0,0,0,0,0,0,0,0,0,0,0,0,344,0,0,0,0,0, +0,0,0,515,1709,0,0,0,0,0,0,0,0,404,0,0,0,0,500,0,0,0,0,0,0,0,0,0,68,216,0,0,0,0, +0,0,0,488,353,0,0,177,236,0,0,458,490,0,0,0,0,0,0,756,1504,0,757,0,1735,0,0,108, +598,0,0,0,0}; +BROTLI_INTERNAL const uint8_t kStaticDictionaryHashLengths[32768] = { +8,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0,0,0,12,0,0,0,0,4,22,5,0, +4,0,0,0,0,0,0,0,0,0,0,0,0,14,6,0,0,0,5,0,0,0,0,0,0,0,7,13,0,0,4,0,0,0,0,0,0,0,0, +0,6,0,0,0,0,8,0,0,0,0,0,0,7,0,7,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,4,0,0,0,4, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,10,4,0,5,13,7,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0,0,8,7,0,0,9,0,8,0,0,0,0,0,0,6,0, +0,9,0,0,0,11,0,0,6,8,7,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,7,0,0,0,6,8,0,0,0,0,0, +0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,9,0,0,0,8,4,13,7,0,0,0,0,0, +7,0,5,0,0,0,0,8,5,0,5,0,0,8,7,0,0,0,0,0,0,0,0,0,0,9,0,0,0,8,0,0,0,10,4,0,5,0,4, +0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,0,0,0,8,7,0,4,9,4,0,0,0,0,0,0, +9,0,0,0,8,5,0,0,0,6,0,0,0,0,0,0,0,0,0,7,18,0,0,0,0,4,9,0,0,4,0,6,0,0,0,6,0,6,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,5,8,7,0,0,0, +0,9,0,0,0,0,0,0,0,8,6,10,6,0,0,0,4,0,6,8,6,0,0,0,4,0,0,0,0,0,5,0,0,0,6,0,0,0,0, +10,0,12,7,0,0,0,0,0,4,0,0,0,0,0,5,0,0,8,7,0,0,0,0,0,0,0,0,9,5,0,0,0,0,0,0,0,0,0, +0,0,0,0,6,11,0,0,0,0,0,0,0,0,0,8,7,0,0,10,0,0,0,0,0,0,0,0,6,10,0,17,0,8,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,8,6,9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +7,0,0,11,4,0,5,0,0,0,0,0,0,0,0,0,0,10,5,0,6,8,5,0,0,0,0,0,0,0,0,0,0,11,5,0,0,0, +0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,9,0,0,0,0,5,0,0,0,0,0,0,0,0,0,6,0,0,8,7,0,0,0,0,0, +0,0,0,0,0,0,5,0,0,0,6,0,0,10,0,0,0,20,0,0,0,0,0,0,0,0,6,9,5,0,0,0,0,10,4,8,0,0, +4,13,0,0,0,0,0,0,0,9,0,9,0,0,0,0,0,0,0,0,0,0,0,0,4,8,6,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,12,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,12,5,0,0,10,4,10,7,13, +0,0,0,0,0,0,0,0,6,0,6,0,6,0,0,0,0,0,0,19,0,0,4,12,6,9,0,0,0,0,4,0,4,11,0,0,0,0, +0,0,0,12,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,4,0,0,0,0,0,0,0,0,0,6,0,0,0,0, +0,5,0,0,0,0,0,6,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,8,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,9,6,0,0,0,0,0,4,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0, +6,0,0,0,0,0,0,0,0,0,0,13,6,0,0,0,0,0,0,0,0,0,0,0,6,8,0,0,0,0,0,0,0,0,0,0,6,0,0, +0,0,0,5,0,0,0,0,14,4,0,0,0,4,12,5,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,8,6,0, +0,0,0,0,0,12,0,9,6,0,0,0,0,13,0,0,5,0,0,0,0,0,4,0,6,0,7,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,13,0,9,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,5,0,0,0,6,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,8,7,8,4,0,0,0,0,0,0,0,0,0,0,0,7,0,7,0,0,0,4,0, +0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,8,6,8,4,0,0,0,0,0,6,0,7,0, +0,0,0,0,0,0,0,0,0,10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,7,0,0,0,0,0,0,9,5,0,0, +0,0,0,7,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,9,4,0,0,0,0,0,0,0,4, +12,5,11,0,0,0,0,0,0,0,0,0,8,7,0,5,0,0,8,7,0,5,0,0,0,0,8,0,0,0,0,7,0,4,10,0,0,0, +0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +13,5,0,0,0,4,0,0,0,0,0,6,0,0,0,0,0,0,14,5,0,0,0,7,0,0,10,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,6,0,4,0,5,0,0,0,0,8,5,0,0,0,0,0,0,9,5,9,0,0,0,0,0,0,0,0,6,9,0, +0,4,0,0,0,7,0,0,0,6,0,0,10,4,0,0,0,0,0,6,0,0,10,0,0,0,8,5,0,0,0,0,0,0,0,0,10,0, +0,0,0,0,18,4,12,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,6,0,0,0,0,8,7,0,0,0, +0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,8,4,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0, +0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,8,0,0,0,0,0,0,6,0,0,0,4,10,5,0,0,0,0,0,0,0,0,0,0, +0,4,8,7,0,0,8,6,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,0, +0,0,0,8,6,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,6,0,7,0,0,0,0,0,0, +0,0,0,0,0,6,0,0,0,7,0,0,0,0,0,0,8,7,0,0,0,0,8,0,12,6,0,6,0,0,0,0,9,7,11,7,0,0,0, +0,0,0,0,0,0,0,0,0,11,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,8,7,0,0,10,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0, +0,0,0,6,0,0,0,7,0,4,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,14,0,0,0,0,0,8,4,0,4,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,20,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,12,5,0,7,0,5,0,0,10,0,0,7,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,6,0,4,9,7,0,0,0, +0,0,7,0,0,0,0,0,0,10,0,9,0,9,0,0,0,0,0,0,0,0,4,9,0,0,0,0,6,0,0,0,0,0,0,0,0,11,4, +0,6,0,0,0,0,0,0,8,0,8,0,0,0,0,0,0,0,0,0,0,4,0,0,0,5,0,0,0,0,0,0,0,0,13,6,0,0,11, +0,0,0,0,0,0,0,9,7,0,0,0,0,0,0,0,0,0,0,0,6,18,0,0,4,0,0,0,0,0,0,0,6,0,0,0,0,0,0, +0,5,0,0,0,0,0,0,0,0,9,7,0,0,0,0,0,0,0,6,0,0,0,0,9,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,11,7,0,0,0,0,0,6,0,0,0,7,0,0,0,0,0,0,0,0,11, +4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,4,0,0,0,0,8, +6,0,0,0,0,0,0,9,6,0,0,0,0,0,4,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,0,0,0, +0,6,0,6,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,6,0,6,0,0,10,6,0,0,0,7,0,0,8,0,8,7,0, +0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,9,0,0,0,0,6,0,0,0,0,0,0,0,5,0,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0, +0,0,0,8,7,0,0,0,0,0,0,0,0,12,0,12,0,0,0,11,6,0,5,0,0,12,0,12,5,0,7,11,6,0,0,11, +0,0,0,12,0,0,4,12,7,8,6,0,0,0,0,8,5,0,0,0,0,0,0,0,4,11,0,0,6,0,7,0,0,0,0,0,0,0, +5,0,6,0,0,0,0,8,0,10,0,0,0,0,0,0,0,0,0,0,0,9,7,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0, +0,0,0,0,0,0,0,0,0,11,7,0,0,0,0,0,0,10,0,0,5,0,0,12,6,0,0,0,0,0,0,10,6,0,0,0,0,8, +6,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,5,0,0,0,0,11,0,10,6,0,0,8,6,0,0,0,6,0,7,10,6,0, +0,0,7,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,10,7,0,0,0,0, +10,6,0,0,0,0,0,0,8,5,11,0,8,4,0,0,0,4,0,0,0,0,9,4,8,0,0,0,0,0,0,0,11,6,0,0,0,0, +10,7,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,7,0,0,0,0,9,6,0,5,0,7,0,0,0,0,0,7,0,0,11,0,0, +0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6, +0,0,0,0,13,0,8,6,13,0,0,0,11,7,0,7,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,9,6,0,0,0,0,0,0,0,0,0,6,0,0,9,6,0,6,0,0,0,0,0,5,0,0,0,0,0,0,0,0, +0,0,0,0,0,5,9,0,0,0,0,0,0,0,0,0,0,4,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,9,7,0,7,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0, +5,11,5,0,0,0,0,0,0,0,0,0,4,0,7,0,6,0,0,0,6,20,0,0,0,10,7,0,5,14,4,0,0,0,0,0,0,0, +0,0,6,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0, +0,0,6,0,4,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,9,7,0,0,11,6,15,0,0,0,0,0, +10,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,7,0,0,0,0,0,0,0,0,9,7,13,0,0,0,0,0, +0,7,0,0,8,6,0,0,0,0,0,0,0,0,9,4,0,0,0,0,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,5,0,0,0,0,0,0,0,0,0,0,0,0,8,5,0,4,0,0,0,0,0,0,0,0,0,0,12,6,8,0,12,0,0,7,0,0,0, +0,0,5,10,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7, +14,0,0,0,0,0,0,0,0,0,0,0,0,5,0,5,8,7,10,7,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6,18,6, +14,7,0,0,0,0,0,0,0,0,11,6,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,0,11,7,0,0,10,7,0,0,0,6,8,6,0,0,0,0,0,0,0,6,0,0, +19,0,0,0,9,5,0,0,0,0,0,0,11,7,0,0,0,7,0,6,0,0,11,0,0,0,0,4,8,0,0,0,0,0,0,0,0,6, +0,0,0,0,0,6,0,0,8,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,7, +0,7,0,0,0,7,15,0,0,5,0,0,0,0,10,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,7,0,0, +0,0,0,0,0,0,9,6,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +11,7,0,0,0,0,0,0,0,6,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0, +0,0,5,0,4,0,0,0,4,0,4,0,0,0,0,0,0,0,0,0,6,0,0,0,0,11,6,0,0,8,5,14,0,0,4,0,0,0,7, +17,0,0,0,0,0,0,0,13,5,0,0,0,0,0,5,0,0,0,5,0,0,0,0,16,6,0,4,0,0,0,0,0,0,12,0,0,0, +0,0,0,6,0,0,0,0,0,0,0,0,0,0,12,5,0,5,0,6,10,0,12,0,0,0,0,0,0,0,0,7,0,0,0,0,8,4, +0,0,0,0,0,0,0,0,0,0,8,7,0,0,8,0,0,0,8,0,0,6,0,7,0,0,0,5,0,6,0,4,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,22,0,0,0,0,0,0,0,0,7,0,0,0,0,0,6,0,0,0, +0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,18,0,0,0,9,4,0,0,8,0,9,7,0,0,0,0,0,0,8,6,0,0,0,0, +0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,9,7,0,0,0,6,0,0,14,0,0,0,0, +0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,7,10,4, +0,6,0,0,0,0,0,0,8,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,9,6,0,0,0,0,0,0, +0,0,11,6,12,7,0,0,0,0,0,0,0,6,0,5,0,0,0,0,0,0,9,6,11,6,0,0,0,0,9,5,0,0,0,0,0,0, +0,6,8,5,0,0,0,0,8,0,10,0,0,0,0,0,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9, +5,10,7,0,0,0,5,8,7,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,4,8,7,0,0,0,6,0,0, +0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,7,0,6,0,0,0,0,0,0,0,0,0,0,0,0,22, +0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,5,0,0,0,0,0,0,0, +0,0,0,0,0,17,0,0,6,0,6,12,4,19,6,0,0,0,0,16,0,0,0,0,7,15,7,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,4,10,4,0,0,8,7,0,7,0,0,9, +4,0,6,0,0,0,4,0,5,0,0,0,7,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,7,10,0,0,0,0,0,11,7,0,0, +0,0,12,6,0,0,0,0,0,0,0,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8, +0,0,0,0,0,0,0,0,0,10,4,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,8,7,0,0, +0,0,0,0,0,6,0,0,0,4,0,0,11,4,0,0,12,7,0,0,0,0,9,0,0,6,0,0,0,0,0,0,0,0,0,5,0,0,0, +4,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,6,0,0,0,0,0,0,9,4,0,6,0,0,0,0,0,4, +0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,6,0,0,0,5,0,0,0,0,0,0,0,0,0,7,9,6,0,7,0, +0,0,0,0,0,0,6,0,0,0,0,8,6,0,0,0,0,10,6,11,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,5, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,5,0,4,8,0,0,0,0,0,9,7,0,0,0,0,0,0, +13,5,0,0,0,0,8,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,8,5,0,0,11,7,0,0,0,0,0,0,8,6,0, +0,0,0,0,7,0,4,0,0,0,0,0,0,0,5,0,6,0,5,0,0,0,0,0,0,0,0,0,0,0,0,10,4,9,0,0,0,0,0, +0,4,0,0,0,0,10,5,10,7,0,0,0,0,0,0,0,0,16,7,0,0,0,0,0,7,0,0,0,0,11,0,0,0,0,0,0,0, +0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,5,0,4,0,0,0,7,0,0,0,0,0,0,13,0,0, +0,0,0,0,0,0,0,0,7,0,4,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,13,7,0,7,0,4,16,0,0,0,0,6,8,7,9,7,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0, +0,6,0,0,8,5,0,4,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,5,11,7,0,0,11, +0,0,0,0,0,9,5,0,4,0,0,0,0,9,7,8,6,0,0,0,0,0,0,10,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0, +0,7,0,0,0,0,0,0,0,0,0,0,0,4,10,6,0,7,0,0,0,0,0,0,0,5,0,0,0,0,0,0,10,7,10,0,0,0, +0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,7,0,6,8,7,12,4,0,0,0,0,0,0,0,5,14, +0,0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0, +6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,4,0,0,20,4,0,0,0,7,0,6,0,0,0,0,0,0,0,0,8,0, +0,6,15,0,0,6,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,12,0,0,0,9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,5,0,0,0,0,0,0,8,6,0,0,18,0,0,0,10,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,9,6,0, +6,0,0,0,0,0,0,0,0,9,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,7,0,0,0,0,9,0,9,0,0,4, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,9,5,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,10,0,0,0,0,7,0,0,0,0,0,0,0,0,0,7,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,8,0,8,0,0,0,16,0,0,0,0,0,0,0, +0,0,0,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,8,0,0,0,11,0,0,0,0,0,0,0,0,0,0, +6,0,0,0,0,11,0,0,0,9,7,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,7,0,7,0,6, +0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6, +0,0,0,0,0,0,0,6,0,0,18,0,8,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,7,0,4,0,0,0, +0,0,0,0,0,0,0,8,0,0,0,0,0,16,0,0,0,0,0,16,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,18,0,0,0,0,0,0,0,0,0,9,7,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,6,0,4,0, +0,0,0,0,0,0,0,9,4,0,0,0,0,12,5,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,12,5,0,0,0,0,0,0,0,5,0,0,10,6,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,9,0,0,0,11,0,0,6,0,6,0,0, +0,7,0,0,0,0,0,0,8,0,0,0,0,6,0,0,0,0,0,0,19,0,0,0,12,0,9,0,0,0,0,0,10,7,0,0,0,0, +0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,16,7,12, +0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,12,6,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,10,5,0,0,0,0,0,0,0,4,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,7,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,4,0,0,0,0,0,0,0,4,0,0,9,0,0,0,8,0,12,4,0,0,0,0, +0,4,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,12,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,5,0, +0,0,0,0,0,13,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,8,6,0,6,0,0,0,0,0,0, +0,4,0,0,0,0,0,6,0,0,9,0,0,0,0,0,0,6,0,0,0,0,0,0,11,0,0,0,0,0,0,0,10,6,0,0,0,0,8, +6,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,7,0,0,0,0,0,7,0,6, +10,7,0,0,10,5,11,6,0,0,0,0,0,7,16,0,0,0,0,6,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,5,0,0,0,7,9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0,0,0, +0,0,0,0,0,8,7,0,0,0,0,11,6,0,0,0,0,0,0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +8,7,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,12,7,0,7,0,0,0, +0,0,0,0,6,0,0,0,0,9,0,0,0,23,0,0,0,0,0,10,5,0,0,0,0,0,0,0,0,0,4,0,0,11,7,10,0,0, +0,0,0,0,0,0,0,0,0,0,6,0,0,8,7,0,7,0,0,8,7,8,0,0,0,0,0,0,0,0,0,0,0,14,5,0,0,0,0, +0,0,0,0,18,6,8,7,0,0,0,0,0,0,0,4,0,0,0,0,0,0,11,0,0,0,9,7,12,6,0,0,0,0,0,0,0,0, +0,0,12,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0,0,0,7,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,6,8,7,0,0,0,6,10,0,0,0,9,0,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,6, +10,7,0,0,0,7,0,0,8,4,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,19,0,0,0,0,0,0, +0,0,0,8,7,8,6,0,0,11,7,10,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,4,8,7,0,0,0,0,0,0,0,0, +0,5,0,0,13,0,0,0,0,5,0,0,9,7,0,0,0,0,0,0,0,4,0,0,11,0,0,7,0,0,0,0,0,0,0,0,0,6,0, +0,0,0,0,0,12,7,19,0,8,6,0,0,0,0,0,6,0,0,0,0,0,0,0,0,10,6,8,0,0,0,0,0,0,0,0,0,0, +6,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,7,0,0,12,0,0,0,0,6,9,6, +14,0,0,0,0,0,0,6,0,5,0,0,8,7,0,0,0,6,0,4,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,4,0,6,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,5,0, +7,0,0,10,0,9,7,0,6,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,12,6,0,0,0,0,0,5,0,6,0,0,0,0, +0,0,0,0,0,0,0,6,0,0,0,0,9,7,0,0,0,0,0,0,11,6,0,0,0,0,0,0,0,0,0,0,11,7,0,0,13,7, +0,0,0,0,0,0,0,0,12,0,0,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,6,11,5,0,5,13,0,8,0, +0,0,0,6,0,0,0,0,0,0,11,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,11,5, +9,6,0,0,0,4,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,10,0,0,0,8,5,0,0,9,0,0,0,8,7,9,0,0,0,0,0,0,0,0,7,0,6,0,0,0,0,0,0,0,0,0, +0,11,0,13,6,0,0,9,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0, +0,0,0,0,0,5,21,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,5,0,0,0,0,0,0,0,0,10,0,8,0, +0,6,0,0,0,4,0,0,9,0,0,0,0,0,0,0,0,0,0,4,0,0,8,6,0,6,0,7,10,0,8,4,0,4,0,0,0,0,0, +5,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,6,12,0,0,7,0,0,0,5,0,0, +0,0,0,0,0,0,0,6,0,0,8,6,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +15,7,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,6,0,0,24,7,0,0,0,0,0,0,0,0,0, +7,0,0,0,0,0,0,0,0,0,0,9,6,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,6,0, +0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,4,12,0,0,7,0,0,0,0,0,5,0,0,0,0,0,0,0,0,15,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,8,0,0,0, +0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,9,0,9,6, +0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,8,4,0,7,0,0,0,0,0,0,0,0, +22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,4,0,7,0,0,21,7,0,7,9,6,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,8,0,0,6, +0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,23,0,0,0,0,7,0,0,0, +4,0,0,0,0,0,0,0,0,9,4,11,7,0,5,0,0,0,0,11,0,0,4,20,0,0,0,0,0,0,0,0,0,0,0,11,5,0, +7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +21,0,0,0,0,0,0,7,0,0,0,0,0,0,0,5,0,0,0,0,0,6,0,0,0,0,11,6,0,0,0,0,0,0,0,0,9,6,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,5,0,4,9,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0, +0,0,0,10,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,8,7,0,0,11,7,0,0,0,0,0,0,0,4, +0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,0,5,0,0,0,0,0,0,0,0,0,0,8,7,0, +0,0,0,0,0,0,0,0,6,0,0,21,6,0,0,0,0,0,6,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,14,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,9,6,0,0,8,0,0,7,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0, +0,0,0,8,7,0,0,11,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,5,0,0,0,7,13,7,10,4,0, +0,0,6,0,0,0,0,0,0,0,0,0,5,10,0,0,0,0,0,0,5,0,0,0,7,0,0,0,0,0,0,8,4,0,0,0,0,0,6, +0,0,0,0,0,0,0,0,0,0,12,7,0,6,0,0,10,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,6,0, +0,0,0,0,7,0,0,8,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,10,5,0,6,0,0,0,0,0,4,0,0,0,0, +0,0,0,0,0,4,0,0,0,0,9,0,11,4,0,0,0,6,0,0,0,5,12,7,0,5,0,0,0,0,0,4,0,0,0,7,0,0,0, +0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,13,6,10,0,0,0,17,0,0,4,0,0,0,0,0,6,0,4,0,5,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,11,7,0,0,0,7,0,0,0,6,0,0,0,0,0,0, +0,6,0,4,0,0,0,0,8,0,0,0,0,5,0,0,0,0,0,4,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,9,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,5,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,12,0,0, +0,0,7,0,0,0,0,0,0,0,0,0,0,0,7,0,0,16,4,0,0,11,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +8,7,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,8,6,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10, +7,0,0,0,0,0,0,9,0,0,0,0,0,0,0,12,5,10,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,5,0, +5,18,7,0,0,14,0,0,0,0,0,0,0,9,4,0,7,0,0,0,0,0,0,0,5,0,0,0,6,0,0,0,6,0,0,0,0,0,0, +8,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,5,0,0,0,7,0,0,0,0,0,0,11,0,0,0, +10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,14,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +11,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,14,6,0,0,0,0,11,4,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,10,7,0,6,0,0,9,0,9,5,0,0,0,0,0, +0,0,0,10,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,8,5,0,0,0,0,0,0,0,0,0,0,11,4,0,6, +0,6,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,12,4,0,6,8,6,0,0,0,0,0,0,0,0,0,0,8,0,0,5,0,0,0,0,0,0,0,7,0,0,13,0,0,0,0,0,0,0, +0,0,0,0,0,0,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,12,7,0,6,0,0,0, +0,0,0,0,0,0,0,0,0,13,4,0,7,0,0,0,7,0,7,0,0,0,0,0,0,0,0,10,4,0,0,0,0,0,0,0,0,0,0, +9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,10,6,21,5,0,0,0,0,8,0,0,0,0,4,0, +7,0,0,0,0,0,0,11,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,4,0,0,0,0,0,0, +0,7,9,6,11,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,7,10,0,0,0,0,0,0,6,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,19,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,18,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,7,0,0,0,0,0,0,9,4,10,4,0,7,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,9,7,9,7,10,4,0,7,0,0,0,0,0,0,0,6,12,0, +0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0, +0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,8,0, +0,0,0,0,0,5,0,0,8,7,0,0,0,7,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0, +0,0,0,0,4,0,0,8,0,0,6,0,0,0,7,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,7,9,7,0,0,0,4,8,0,0,0,0,6,11,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,10,0,0,0,0,0,0,0,13,4,0,0, +12,6,0,6,0,0,0,0,8,7,0,7,0,0,0,0,0,6,0,0,0,0,0,0,12,6,0,4,0,0,0,0,0,0,0,0,0,0,9, +7,22,0,0,0,0,4,0,0,0,0,0,6,0,0,0,4,0,0,9,0,0,6,0,0,24,7,0,7,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,10,6,0,5,0,0,0,0,0,0,0,7,0,0,8,0,0,0,0,0,0,0,10,5,0,0,0,0,0,0,0,0,0,7,0, +7,0,0,0,0,0,0,13,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,0, +0,0,0,0,0,7,12,0,9,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,8,0,0,0,0,0,0,0,0,4,0,0,0,7,0, +0,0,0,8,7,0,0,0,0,0,0,0,0,0,4,18,0,0,0,0,0,10,0,0,5,0,0,11,0,0,0,0,0,0,5,0,6,0, +0,0,6,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,6,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0, +4,0,0,0,0,0,0,10,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0, +0,0,0,5,8,0,0,0,0,0,0,0,8,6,0,0,0,0,0,0,0,0,20,7,0,0,0,0,0,0,0,0,0,0,0,4,9,0,12, +6,8,0,14,7,0,5,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,10,0,0, +0,0,0,0,0,0,0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,9,6,0,7,12,0,0,0,0,4, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,7, +0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,4,0,0,9,0, +12,6,0,5,0,0,0,6,0,4,0,6,0,0,0,0,0,0,0,0,10,7,0,0,0,0,0,0,8,0,0,0,0,4,0,0,0,0, +10,0,0,0,0,0,0,0,8,6,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,5,0,0,0,0,0,0,0,0,0,0,0, +6,0,0,12,6,20,5,0,0,0,0,0,0,0,0,0,0,0,0,9,5,0,5,0,0,0,6,13,7,0,0,0,0,15,6,0,0,0, +6,0,0,13,7,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,5,0,7,0,0,0,0,0,4,0,0,0,0,0,0,0,0, +10,6,0,0,0,0,0,6,0,0,0,0,9,0,0,0,0,0,19,6,0,0,0,0,0,0,0,0,0,0,13,0,11,0,0,0,0,0, +0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,0,0,0,0,0,0,10,0,0,6,0,0,0,0,8,0,0, +0,9,0,15,4,0,6,0,0,0,0,0,6,12,0,0,0,0,0,0,0,14,7,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0, +0,0,0,0,0,8,7,0,0,0,0,0,6,10,0,0,0,0,0,0,0,0,7,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,7,10,5,0,0,0,0,8,0,0,0,0,4,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,6,12,0,0,0,10,7,0,5,0,6,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,6,0,4,0,0,0,0,0,7,0,0,0,0,0,0,0,4,9,6,0,0,0,7,0,0,0,0,0,0,0,0,8,6,0,0, +0,0,0,0,0,4,12,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,7,0, +0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,12,6,0,6,9,4,0,0,8,4,0,6, +0,0,0,0,0,4,0,0,0,0,0,0,0,6,0,0,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,8,0,0,6,13,4,0,5,8,0,0,0,0,0,0,0,8,0,0,0,10,5,0,0,9,0,0,0,0,0,0,6,0,0, +24,0,0,0,0,0,0,0,8,0,0,7,0,0,12,0,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,7,0, +6,8,0,10,0,9,7,0,0,0,5,0,0,0,0,0,0,0,4,8,5,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,0,0,4,0,0,0,0,0,6,0,0,0,0,0,5,0,0,0,0,8,0,0, +0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,8,6,0,0,0,0,10,4,0,0,0,0,0,0,0,6,0,0,0,4,20,0,0,7, +10,6,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,7,0,0,0,0,9,6,0,0,0,0,0,0,0,4, +12,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,9,4,0,5,0,0, +0,0,0,0,0,6,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,6,9,0,0,0,0,7,0,0,0,0,0,6,0,5,0,0,0,0,0,0,0,0,9,0,0,0, +0,6,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,17,7,0,0,13,6,14,6,0,0,0,0, +8,0,0,0,0,0,0,7,12,7,8,7,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,4,0,0,0,0,0,4,0, +0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,12,4,0,0,10,7,0,0,0, +0,0,0,10,0,0,6,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,12,0,0,6, +0,0,0,0,0,0,0,0,8,7,12,0,0,0,0,0,0,6,0,6,0,4,0,0,18,6,0,0,0,6,0,0,0,0,0,6,10,6, +0,0,0,0,0,0,8,7,14,0,0,0,0,0,0,6,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19, +0,0,0,8,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,8,7,0,0,10,5,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0, +0,0,9,4,8,0,0,0,0,0,0,4,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,4,0,0,0,0, +0,6,0,0,9,7,0,0,0,0,0,5,0,0,0,0,8,7,0,0,14,0,0,0,0,6,0,0,0,0,0,0,9,6,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,5,0,7,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0, +0,0,0,6,0,0,0,6,0,4,0,0,0,0,0,4,0,0,0,0,12,0,0,7,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0, +0,12,0,16,6,0,0,0,0,0,0,11,7,0,4,8,7,0,0,0,0,0,6,0,0,0,0,16,0,0,0,0,6,0,0,0,0,0, +0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,4,10,7,0,0,0,0,0,0,12,7,0,0,0,0,0,0,0,0,0,0, +0,0,10,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,13,4,0,0,10,0,0,0,0,0,0,0,0,0,19,0,0,0, +0,0,0,0,0,0,0,0,0,0,8,6,22,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0, +5,0,0,0,0,0,5,0,0,0,0,0,5,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +4,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,7,0,0,18,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,14,7,0,0,11,5,0,0,0,5,0,0,0,0,12,5,0,0,0,0,0,0,0,0,0,0,24,6,0,0, +0,7,0,4,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,7,0,4,0,0,0,0,8,7,0,0, +9,6,0,0,14,5,0,0,0,6,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,12,6,0,0,0,0,0,0,0,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,7,0,0,0,5,0,0, +0,0,12,7,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,6,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,6,0,0,13,7,0,0,0,0,0,0,14,0,11,4,0, +0,0,4,0,0,0,0,14,5,0,0,0,0,0,5,11,5,0,0,0,0,22,5,0,0,0,0,0,7,0,0,0,0,0,4,0,0,0, +4,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,17,0,10,0,0,0,8,0,0,0,19, +5,18,7,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,10,6,0,6,0,0,0,0,10,4,0,4,0, +0,0,0,0,0,14,7,0,5,0,0,0,0,0,6,0,0,0,0,0,0,0,0,8,0,9,6,12,0,0,6,0,0,0,0,0,0,0,0, +12,0,10,6,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,4,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,5,13,0,9,7,0,0,0,0,0,0,0,0,0,0,0,7,9,7,0,0,8,0,0,0,0,0, +22,0,0,0,0,0,0,0,23,6,14,0,0,0,0,0,0,7,0,0,0,0,11,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0, +0,0,10,0,0,6,0,0,0,0,0,0,0,0,0,6,0,0,8,5,0,0,0,0,0,0,0,0,0,7,11,6,21,0,0,0,0,0, +0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0, +0,0,0,0,0,0,0,4,9,7,0,0,0,0,0,0,12,0,0,0,0,7,0,0,0,0,0,0,0,0,10,4,0,0,0,0,0,0,9, +0,0,0,20,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,11,7,0,0,0,0,0,0,0,6,15,0,0, +0,0,0,0,0,0,0,0,0,0,0,12,4,0,5,0,0,0,0,0,0,11,7,17,6,0,0,0,0,0,0,15,6,0,7,0,0,0, +0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,6,0,5, +0,0,11,0,11,7,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0, +17,0,0,0,0,6,0,0,0,5,0,0,0,0,0,0,8,7,9,6,0,0,14,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0, +8,7,0,4,0,0,0,0,0,0,0,6,0,5,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0, +0,0,0,5,0,4,0,0,8,7,0,6,12,5,0,7,18,7,0,0,8,5,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0, +10,0,11,0,0,0,0,0,0,0,0,0,0,0,9,0,0,4,0,6,0,7,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0, +7,0,0,0,0,8,0,0,0,15,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,0,0,0,0,0,0,0, +0,0,6,0,0,0,0,23,0,0,0,10,7,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,5,0,0,0,0,0,0,8,6,0,0, +0,0,0,0,12,7,9,7,0,0,10,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,9,0,8,7,0,0,0, +6,0,6,0,4,0,5,0,0,0,0,0,5,8,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,7,10,5,0,0,11,6,0,0,0,0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,4,9,7,0, +0,0,0,11,7,0,0,0,0,0,5,0,0,0,7,0,0,0,0,23,6,11,4,0,0,0,0,0,0,9,0,0,0,10,6,0,0,0, +0,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,10,6,0,0,0,7,0,0, +0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13, +6,11,7,0,0,0,0,0,0,0,0,0,0,0,0,10,5,0,0,0,6,0,0,0,5,0,6,0,6,0,0,0,0,0,0,0,0,0,0, +0,6,0,0,0,0,8,7,0,5,0,0,0,0,0,6,0,0,0,0,0,0,0,4,10,0,8,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,10,6,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6,0,0, +0,0,0,0,0,0,10,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,11,6,0,4,0,0,14,5,0,7,0,0,0,0,0,6,16,0,0,0,0,0,0,0,10,0,0,7,15,0,0,0,11,7,0,0, +0,0,0,0,0,0,0,0,8,7,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,5,0,0,0, +0,8,0,0,6,0,0,0,0,0,0,9,5,0,0,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,6,0, +0,0,0,0,0,0,7,0,0,0,0,15,7,0,0,0,0,8,0,0,0,14,0,0,0,0,0,0,0,16,7,0,0,0,0,0,7,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,12,6,11,7, +9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13, +7,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,12,0,10,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,8,0,0,5,8,7,10,6,0,0,0,7,0,0,0,0,12,6, +0,0,9,0,0,0,12,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,4,10,0,0,0,10,5,0,0,0,0,0,0,9,6, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,6,0,0,9,5,0,4,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,9,0,0,5,0,0,8,7,8, +6,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,10,0,9,4,0,0,0,0,0,0,0,6, +11,0,0,0,0,0,0,0,0,0,0,0,8,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,8,7,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0, +0,0,0,10,0,0,0,8,7,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0, +0,0,8,4,0,5,0,0,0,0,0,0,0,7,0,0,0,6,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,22,0,0,0,0,0,0,0,8,5,0,0,0, +0,0,0,0,7,0,0,0,6,0,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,5,0,6,0,7,0,0,0,0, +20,0,0,0,0,0,0,0,0,0,0,7,9,0,0,0,0,0,0,6,0,6,0,7,0,0,0,7,0,0,0,0,0,0,0,4,0,0,0, +0,0,0,14,7,0,0,0,5,0,0,22,4,10,0,0,0,0,0,0,4,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,11,5,13,0,0,0,0,0,0,0,0,0,8,0,0,7,0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,0,10,7,0, +0,0,0,0,0,0,6,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,7,0,7,14,6,0,0,0,0,9,5, +0,0,0,0,0,6,0,0,0,5,10,0,8,6,0,0,0,0,0,0,0,0,9,7,0,0,0,0,0,0,0,6,0,0,8,4,0,6,0, +0,0,5,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,7, +14,0,0,5,0,0,18,0,8,4,0,6,0,0,20,0,13,0,0,0,0,7,0,4,0,0,0,0,0,4,8,4,0,0,0,0,0,6, +0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,4,0,0,0,0,0,0,0,0,14,0,0,0,0,0,9,7,0,0,9,0,0,0,0, +0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,20,0,14,0,0,4,0,6,8,5,0,0,0,0,0,7,0,0,0,0,0,0, +0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,10,4,12,7,0,6,0,0,9,7,10,5, +0,0,8,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,18,0,0,0,14,7,0,0,0,0,0,4, +0,0,0,0,0,0,17,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,4,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0, +0,0,0,0,0,8,6,0,0,0,0,0,0,0,0,8,5,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,5,0,7,0,0,0,0,0, +7,0,0,0,0,0,0,0,0,0,7,0,6,0,0,0,0,0,0,0,0,8,5,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,5,0, +0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,23,0,0,7,0,0,0,0,0,0, +0,0,0,0,0,0,0,4,0,0,0,0,0,0,12,7,8,4,0,0,0,0,0,0,0,0,0,6,0,0,9,5,0,0,0,7,0,0,0, +0,0,0,0,0,0,4,10,0,0,7,0,0,0,5,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,5,0,0,18,7, +0,0,8,0,0,5,0,0,10,0,0,0,0,0,0,6,0,0,0,0,0,5,0,7,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0, +6,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,6,0,0,10,0,0,5,10,4,0,0,12,0,0,0,0, +6,22,4,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,5,0,0,0,0,0,7,0,5,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,6,0,7,0,0,0,6,0,6,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,5,0,0,0,7,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0, +0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,16,6,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,12,7,0,0,0,0,9,0,0,0,0,6,0,0,11,0,0,0,0,0,13,0,9,6,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,4,0,0,10,7,0,0,0,7,0,6,0, +0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,11,0,15,0,22,7,0,4,0,6,0,0,0,0,0,7,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,4,0,7,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0, +18,0,0,0,0,0,0,0,0,0,14,0,0,4,0,0,0,0,8,7,9,0,0,0,0,0,9,0,0,0,14,0,0,0,0,0,0,0, +0,0,11,7,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,7,0,0,0,6,0,6,0,0,0,0,8,0,0,0,0, +0,11,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,9,4,0,0,0,0,0,4,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,8,7,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0, +0,0,0,0,0,0,8,6,0,0,9,5,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,5,0, +0,10,6,9,0,0,0,0,6,0,0,0,0,0,6,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0, +11,7,12,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,4,0,5,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0, +0,0,0,0,6,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,5,0,0,10,6, +0,0,0,4,0,7,13,0,0,4,0,0,11,4,0,6,0,0,0,0,0,6,8,7,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,5,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,5,0,0,0,0,12,6,0,0,0,0, +11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,11,5,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8, +7,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,4,0,0,0,6,17,0,9,0,10,6,0,6,12,0,0,4,0,0,0, +0,0,0,0,0,0,0,8,5,12,7,0,4,0,0,0,0,0,0,0,0,0,0,11,0,9,0,10,6,11,5,0,7,0,0,8,0,0, +7,0,4,0,0,0,7,0,0,0,0,0,0,8,6,0,0,0,6,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,6,0, +0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,11,0,0,0,0,6,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,10,0,0,0,0,0,8,6,0,0,0,0,0,6,12,0,0,0,0,0, +0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,6,0,0,16,0,11,5,0,0,0,0,0, +0,0,0,0,0,10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,9,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,6,0,7,0,0,0,0,0,0,0,0,0,0,0,0,8,4,0,0,0,0,0,6,10, +7,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,6,0,0,0,0,0,0,9,5,0,0,0,0,8,0,9,0,0, +0,0,0,0,0,0,7,10,0,13,0,0,6,0,0,0,0,0,0,0,0,0,6,9,4,0,0,0,0,0,0,10,0,0,0,0,0,10, +0,0,0,0,0,0,0,10,6,11,0,0,0,0,0,9,0,0,0,0,0,0,4,0,0,0,0,0,0,10,5,0,0,0,0,0,6,0, +0,0,0,0,0,18,4,0,7,0,0,0,0,0,0,24,0,8,6,0,7,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0, +0,8,5,0,0,0,0,10,7,0,6,0,0,0,0,0,0,0,0,8,5,10,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0, +6,0,0,8,7,0,0,0,0,0,0,0,0,0,0,12,6,0,0,0,0,0,0,0,4,0,5,15,0,0,0,0,7,0,7,0,0,0,0, +0,0,0,0,0,6,10,5,0,0,0,6,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,7,0,0,12,0,0,0,0,0,0,0,0, +0,0,5,0,0,0,0,0,0,14,4,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,11,0,10,4,9,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,4,0,0,0,0,0,7,0,0,0, +0,0,0,0,0,0,0,0,7,13,7,0,0,0,0,0,0,0,5,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,7,0,0, +0,0,0,0,0,0,0,5,0,0,0,0,0,6,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,8,0,10,6,0,4,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,6,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,6,0, +0,0,0,0,0,0,0,10,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,9,7,0,0,0,0,0,6, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,10,6,0,0,0,0,0,0,0,6,0,0,0, +0,0,0,0,5,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,6,0,0,0,5,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,11,0,0,0,0,6,0,0,0,0,0,0,0,6, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,22,0,0, +6,0,0,0,0,0,0,0,6,10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0, +0,0,0,0,0,0,0,6,0,6,0,0,0,5,0,0,0,0,0,0,0,5,0,0,10,0,11,5,0,0,0,0,0,0,14,7,9,7, +0,6,0,0,0,0,0,4,0,0,0,0,0,0,11,7,0,6,0,0,0,0,0,0,9,7,0,4,0,0,0,7,0,0,0,0,0,5,0, +0,0,0,0,5,0,0,0,7,0,0,0,0,0,5,0,0,0,0,17,5,0,0,8,0,0,0,0,6,9,4,0,0,0,0,0,0,0,0, +8,7,11,7,9,0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,6,9,5,0,0,8,6,0,0,0,5,0, +0,0,0,9,0,0,0,9,6,0,7,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0, +0,0,0,0,4,0,0,0,0,10,0,0,0,0,0,0,0,0,4,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,4,0,0,0,5,0,0,0,0,0,7,0,0,0,0,0,7,13,5,0,0,0,7,0,0,0,0,0,7,9,6,11,7,0,7,0,0,0, +0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,8,5,0,0,0,5,9,4,0,0,0,0,0,0,0,0,8,4,0,0,0,0, +24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0, +0,0,0,0,6,0,0,0,7,0,0,0,6,0,0,0,0,0,0,0,0,0,5,11,6,0,4,0,7,20,0,8,5,9,5,9,0,0,6, +0,0,0,0,0,0,0,0,0,0,0,7,23,5,0,0,8,4,0,0,10,0,0,6,0,5,0,0,0,0,0,0,0,0,0,0,0,7,0, +0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,9,0,0,0, +10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0, +6,0,0,0,0,14,0,18,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,9,6,0,4,0,0,0,0,0,0,8,4, +11,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,8,4,0,0,0,0,0,0,0,0,12,0,10,7,0,0,10,0,0,0,0, +0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,6,0,0,0,0,8, +6,10,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,4,0,6,0,4,0,0,0,0,0,5,0,0, +0,0,0,0,0,0,0,7,0,0,0,7,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,17,7,11,0,0,0,0,0,0,0,0,0,0,4,12,6,0,0,0,5,0,0,0,6,0,0,0,0,0,0,0,0,0,0, +0,5,12,7,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,6,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +7,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,6,0,6,0,0,20,0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,0,4, +0,0,0,5,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,6,0,4,13,0,0,7,0,0,0,0,0,0, +0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,0,12,6,0,7,0,0,0,0,10,0,23,6,0,0, +0,4,0,0,0,0,0,6,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +10,0,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,11,0,9,7,0,0, +0,0,0,0,0,0,0,0,9,7,0,4,0,0,0,0,8,7,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4, +0,0,0,0,0,6,0,0,10,7,10,5,0,0,8,0,8,0,0,0,0,0,0,4,0,5,10,0,0,0,0,0,0,0,9,0,0,6, +0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,11,7,0,0,0,0,0,0,0,0,9,4,0,0,0,0,0,6,0,0,8, +7,0,0,0,0,0,5,0,0,0,0,0,0,0,0,10,0,0,0,0,5,0,4,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,24,7,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,6,0,0,9,0,0,0,0,0,0,7,0,6,13,0,8, +0,0,0,0,0,0,0,0,0,9,7,0,0,0,0,0,0,0,6,0,0,0,0,8,5,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0, +4,0,0,0,0,0,4,0,0,0,0,0,0,0,6,8,0,0,0,0,6,8,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,4,0,4,0,0,0,5,0,7,0,0,10,0,10,7,0,0,12,5,0,0,9,0,0,0,10,0, +0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,5,0,0,0,0,0,0, +12,0,0,0,0,0,8,5,13,6,0,0,0,0,0,0,9,4,0,0,0,0,8,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0, +0,0,6,0,0,14,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0,17,6,0,0,0,0,12,6,0,0,0,0,8,0,0,7,0, +7,0,4,9,0,0,6,0,0,0,6,0,0,0,0,0,0,8,7,0,0,0,0,0,0,11,0,0,4,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,18,7,0,4,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,6,0,0,0,0,0, +0,0,0,12,5,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,8,0,11,7,0,0,0,0,0,0,0,0,0,4,0,0,0,0, +11,0,0,0,0,0,0,0,21,0,0,6,10,0,0,0,0,0,9,0,10,0,0,0,0,0,11,0,0,0,0,6,0,0,0,0,0, +5,0,0,0,0,0,0,10,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,4,0,0,23,7,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,9,7,0,0,0,7, +0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,6,0,0, +11,6,0,0,0,0,0,0,0,6,0,0,0,0,10,7,0,0,9,4,0,0,11,0,8,5,0,0,0,7,8,5,22,0,0,0,9,6, +0,0,0,0,0,0,0,6,10,4,0,0,0,0,0,7,9,4,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6,0,4,0, +0,0,0,11,6,0,0,0,0,0,0,0,0,0,0,0,7,0,6,0,0,0,0,0,7,0,0,0,0,0,0,0,6,0,6,0,4,0,0, +0,0,0,0,0,7,0,7,0,4,13,0,0,0,0,0,8,0,0,0,0,7,0,0,0,0,0,0,11,6,0,7,0,0,0,0,9,0,0, +0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,4,8,0,0,0,0,0,8,0,0,0,0,0,0,6,0,0,0,4,0,0,0,0,0,0,0,6,0,0,0,0,13,5,8,0,0, +0,0,0,0,0,14,0,0,6,0,0,0,0,0,0,0,0,0,7,0,0,17,6,0,0,0,0,13,4,0,0,9,6,0,0,10,5,0, +0,10,5,0,0,0,0,13,0,0,0,0,6,0,0,0,0,0,0,10,0,12,0,0,0,0,0,0,0,0,0,0,0,8,4,0,4,0, +0,0,4,0,0,0,0,0,4,0,0,12,0,0,5,9,4,0,0,0,0,0,0,0,0,0,5,8,5,0,0,0,7,0,0,0,0,8,7, +0,0,0,6,12,5,0,0,0,5,0,0,0,5,0,0,0,0,0,4,12,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,8,7,0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0, +0,9,6,0,0,0,0,0,0,0,0,0,4,0,0,0,6,0,0,0,4,11,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0, +0,0,0,0,12,7,0,0,0,7,10,7,0,0,11,0,0,0,0,0,0,0,0,0,11,7,0,0,0,6,0,0,11,0,0,0,0, +0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,22,0,10,7,0,0,8,5,0,0,0,0,0,5,0,0,0,0,0,0, +0,0,0,0,9,6,8,7,0,6,0,0,0,0,0,5,0,0,0,0,0,0,8,7,0,0,0,0,9,7,0,0,0,6,0,0,8,7,0,0, +0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,4,0,5,0,0,0,4,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,6,0,0,0,0,0,0,0,4,0,0,0,0,0,0,9, +6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,4,0,0,0,5,0,0,0,0,14,0,0,0, +9,0,0,0,0,0,0,0,0,0,9,7,12,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,12,0,0,0,0,0,12,7,0,0,0,5,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,10,7,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,0,6,0,0,0,0,0,0,9,6,0,0,0,0,0,6,0,0,0,0,0, +0,0,0,0,0,9,0,0,0,0,7,0,6,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0, +0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,6,0,7,12,6,0,0,0,0,0,5,0,0,0,0,0,0,0,0, +0,7,0,0,8,6,0,0,0,0,10,7,0,0,0,0,0,0,0,6,0,0,0,0,0,6,12,0,0,0,0,0,0,0,0,6,0,0,0, +0,0,6,0,0,0,6,0,0,0,0,0,6,16,0,0,0,0,0,0,0,0,0,9,0,17,0,14,7,8,0,0,0,0,0,0,6,0, +0,0,0,0,0,0,0,0,0,11,0,0,6,8,7,0,6,0,0,0,0,0,0,0,0,0,0,12,6,0,0,0,0,0,0,0,0,0,0, +9,0,0,0,0,7,0,0,0,0,11,5,0,4,9,6,8,0,0,0,0,0,0,0,0,0,10,0,11,7,0,0,0,0,0,0,0,0, +9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11, +0,0,0,12,0,0,0,0,0,10,5,0,4,0,0,0,0,0,7,10,6,11,6,0,0,0,0,0,0,0,0,0,0,0,0,17,0, +0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,6,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,8,0,0,4,0,0,0,6,0,0,0, +0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,4,0,0,0,0,9,6,0,0,0,4,0,0,0,0,0,4,10,7,0,7,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0, +0,0,0,0,0,0,6,0,0,0,6,0,6,0,0,0,0,10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,18,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,13,0,0,0,0,0,10,0,0,0,0,0,0,0,0,4, +0,0,0,6,0,0,0,0,0,4,8,0,0,0,11,7,0,0,0,4,0,0,0,0,0,7,0,0,8,5,0,0,16,0,0,0,13,6, +0,0,0,0,0,0,0,6,0,0,0,0,20,0,11,6,0,0,8,7,0,0,0,0,0,6,17,0,8,0,0,0,0,0,8,7,0,0, +9,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0, +0,0,4,0,7,0,0,0,0,0,0,0,6,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,8, +0,8,0,0,0,0,0,0,0,11,0,8,0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,6,0,0,9,0, +0,0,0,0,8,0,0,0,0,0,18,0,0,0,0,0,0,4,9,0,0,0,0,0,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,9,6,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,8,7,0,0,0,0,0,0,0,0, +0,4,0,0,0,0,0,0,14,0,0,0,0,7,0,6,0,0,8,0,20,7,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,8,0,0,0,14,0,0,0,0,0,0,0,8,0,0,7,0,6,0,0,0,7,0,0,0,0,0,0,0,0, +0,0,0,4,12,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,10,6,0, +5,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0, +0,0,0,5,8,4,0,0,0,0,0,0,0,4,0,0,0,7,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,12,7,0, +0,0,0,13,6,0,0,0,7,0,0,8,0,0,0,8,0,0,0,0,0,0,0,0,0,0,5,0,0,0,7,0,0,0,0,0,0,11,5, +0,6,0,0,8,5,0,7,0,0,0,0,0,0,0,7,0,0,0,0,8,6,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,4,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +14,0,10,7,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,19,0,0,4,0,0,0,7, +0,0,11,5,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,16,0,10,5,18,0,0,7,9,6,0,5,0,0,0,0,0, +0,0,0,0,5,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,0,5,0,0,0,7,0,6,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,6,0,0,0,4,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,6,0,0,0,7,23,0,0,0,0,5,0,0,0,0,0,0,8,5,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,14,0,20,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0, +11,0,0,0,0,7,0,0,0,0,15,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,9,6,0,0,0,0,0,7,0,0,0,0, +0,4,0,0,0,0,10,0,0,0,0,0,9,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,10,0,11,6,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,5,0,0,11,0,0,0,0,7,0,0,0,0,0,0,8,7,0, +4,0,0,0,0,11,0,0,0,0,0,11,0,0,5,0,0,8,7,0,4,0,7,0,0,0,0,0,0,0,6,0,0,0,0,0,4,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,10,5,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,6,0,5,0,0,0,0,0,0,0, +0,0,4,11,5,10,7,0,7,0,0,9,6,9,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,9,4,0,4, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,8,6,0,0,0,0,11,7,0,0,0,0,0,0,0,0,0,0,11,7,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,8,5,0,0,8,0,9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,4,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0, +10,7,0,0,0,6,0,0,0,0,0,0,8,0,0,6,0,0,0,6,10,0,0,0,0,0,0,0,0,0,0,0,8,5,0,0,0,6,0, +0,0,6,0,0,0,0,9,5,8,5,8,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0, +0,8,7,10,0,0,0,0,0,0,0,9,6,0,0,0,0,0,0,0,0,0,0,11,7,0,0,0,0,0,5,0,0,0,6,0,7,0,0, +10,5,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,6,0,0,0,0,0,0,11,0,0,0,0,0,13,4, +0,0,0,4,0,0,0,0,0,5,8,0,0,0,12,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,7,14,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,7,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,4,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,5,0,0,15,6,10,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,9,6,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,14,6,10,0,0,0,0,0,0,0,0,6,0, +0,0,0,0,0,0,0,12,6,0,0,0,0,0,0,0,0,9,7,0,0,0,0,0,6,0,5,11,4,0,6,0,0,0,7,0,0,0,0, +0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,5,0,0,8,5,0,0,0,0,0,0,0,0,0,0, +0,0,10,0,0,0,0,0,9,6,9,4,0,0,0,4,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,8,5,0, +0,0,0,0,0,0,0,0,0,0,4,0,0,11,5,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,5,0,0,0,0,0,0, +0,0,0,7,12,0,0,0,0,6,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0, +4,9,6,0,4,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,6,0, +7,8,6,0,0,0,0,0,0,0,4,0,0,9,6,0,0,0,0,0,0,0,0,0,6,0,5,0,4,0,0,0,0,0,0,0,5,0,0,0, +0,0,5,0,0,0,7,12,7,0,0,0,0,0,0,18,4,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,6,0,0,0, +0,12,0,0,7,0,0,0,0,0,7,0,0,13,0,0,6,0,0,0,0,8,7,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,7,10,5,0,0,8,0,0,0,0,0,0,0,8,6,0,7,0,0,8,4,0,4,0,0,0,0,10,4,0,0,14,0, +0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,17,0,0,0,0,0,0,6,0,0,0,0,8,6,0,0,10,5,0,0,0,0,8, +6,0,0,0,6,0,0,0,7,0,0,0,0,0,6,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,12,0,0,0,0,6, +8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0, +0,0,0,6,0,0,0,0,0,0,0,0,0,0,12,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,4,24,0,0, +0,0,0,12,6,0,0,10,6,0,5,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,17,7,0,5,0,0,0, +0,0,0,0,0,0,0,0,0,0,6,11,5,9,0,8,7,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,10,7,0,0,0,0,0,0,0,7,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,11,5,8,7,0,0,0, +0,8,5,0,0,0,0,10,7,0,7,0,0,0,0,0,0,0,0,0,0,13,6,0,0,0,0,0,0,0,0,0,6,0,4,0,0,0,0, +0,6,12,0,8,7,0,0,0,0,0,0,0,0,0,0,16,0,10,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,22,0,0,0, +0,0,0,0,0,0,0,0,0,0,13,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,22,0,0,6,0,0,21,0,0,0,22,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +6,0,0,0,0,9,6,0,0,0,0,0,0,0,0,0,6,0,0,0,5,0,0,0,0,0,7,8,0,0,0,0,6,14,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,8,6,0,0,0,0,0,0, +0,0,0,0,0,6,0,0,0,0,8,5,0,0,11,7,0,6,0,0,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0, +6,0,0,0,5,0,0,0,0,0,0,0,0,0,4,0,0,8,7,0,0,0,0,8,5,11,7,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,4,0,0,0,0,8,5,0,0,10,0,0,4,13,7,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,5,0,0,13,6, +0,6,0,7,0,0,8,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,15,0,0,0,10,7,0,0,0,0,0, +7,0,0,0,0,0,0,0,4,0,0,0,0,0,6,0,0,0,0,19,0,0,0,0,6,0,0,0,0,0,4,0,0,0,0,0,6,0,5, +0,7,0,0,0,0,0,0,0,0,0,6,0,0,11,4,0,0,0,6,0,0,13,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,8,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,12,6,0,0,0,0, +0,7,0,0,0,0,0,0,11,7,0,0,0,0,0,6,0,0,10,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,5,11,6, +0,0,0,0,0,0,0,0,10,0,0,0,0,6,0,0,0,0,0,0,8,7,0,0,0,5,0,0,0,5,0,0,0,0,0,0,0,0,0, +0,0,0,8,7,0,0,0,0,9,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,10,7,0,0,0,0,10,0, +0,6,0,0,13,0,0,0,0,0,0,0,9,6,0,0,8,6,8,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0, +0,9,7,0,0,0,0,0,0,11,0,0,0,10,7,0,0,0,0,0,0,0,0,9,6,0,0,12,4,0,4,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,6,0,0,0,0,21,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,5,0,0, +9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,4,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,0, +16,0,0,4,0,0,0,0,0,7,0,0,0,6,0,6,0,0,11,0,0,0,0,5,0,0,0,0,0,0,0,4,8,5,0,0,0,0,0, +0,14,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0, +0,0,8,0,0,0,0,0,0,0,0,6,0,0,0,4,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,4,0,0,0,4,0,0,0, +0,0,0,0,6,9,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,14,7,0,0,9,7,0,0,11,0,0,0,0,0,10, +4,11,5,13,6,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,5,0,0,0,0,0,4,0,0,9,0,0,0,0, +0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,6,12,5,0,0,0,6,14,0,0,0,0,0,0,0,0,0,0,4,9,4, +0,0,0,0,0,5,0,0,0,0,0,0,0,4,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,5,0,0, +0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,0,11,6,0,0,13,7,0,0,13,6,0,7,0,0,0,0,0,0,8,6,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,10,6,0,4,0,0,12,6,0,0,0,0,0,0,0,0,10,6, +0,0,0,6,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,6,0, +0,0,0,0,7,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,8,6,0, +0,0,7,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0, +0,0,0,5,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0, +0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,8,7,0,0,8,5,0,0,0,4,9,5,0,0,0,7,10,6,0,0, +0,0,0,0,9,7,0,0,8,5,8,0,8,4,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,5,0,5,0,0,0,0,0,0,0, +0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,0,0,4,0,0,0,0,0,0,0,0,0, +0,11,7,0,0,0,7,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,5,0,0,0,7,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,9,7,0,0,0,0,8,5,0,4,0,0,0,0,0,6,0,6,14, +6,0,0,0,0,9,6,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,6,0,0,0,0,14,7,9,7,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,16, +0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,14,0, +0,6,0,0,8,6,0,0,0,0,0,6,0,0,12,0,0,0,0,0,8,5,0,7,11,0,0,5,0,4,0,0,0,6,0,0,0,0,0, +0,0,0,0,0,0,0,9,6,0,4,0,6,0,0,0,0,0,0,0,0,0,0,0,0,11,6,0,0,0,0,0,0,10,5,0,0,0,0, +0,4,0,0,0,7,11,6,0,4,8,5,9,5,0,0,0,5,0,7,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,8,5,14,7,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,16,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,4, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,9,6,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,9,0,0,0,12,5,0,0,0,0,0,0,0,4,10,5,0,0,0,0,0,0,0,0,0,0,0,6,0, +0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,4,0,0,0,6,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,0,0,0,0,0,10,4,0,0,0,0,0,5,0,0,0,4, +0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,8,0,10,7,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,10,7,0,0,0,0,0,0,0,0,15,0,0,0, +0,0,0,0,0,0,0,7,0,0,0,0,0,7,10,7,9,7,0,0,0,7,0,0,8,0,0,0,0,0,0,0,9,0,0,0,8,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,8,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,7,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,15,7,12,6,0,0,0,7,0,5,0,0,0,0,0,0,0,0,0,0,0,0,18,0,0,5,0,0,0,0, +0,0,0,6,9,5,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,9,7,0,0,14,0,0,0,11,7,0,0,0,0,0, +0,0,0,0,0,0,4,0,0,11,7,0,0,0,0,8,0,0,0,0,0,0,6,8,7,0,0,0,7,10,4,0,0,0,0,0,0,0,0, +0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,10,0,0,0,0,0,0, +6,0,6,0,0,0,0,0,4,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,11,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,7,0,0,10,7,0,0,0,0,9,7,0,0,0,0,0,0,13,7,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,12,0, +0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,9,6,0,0,11,0,0, +0,0,0,14,4,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,23,7,0,0, +0,0,0,6,0,7,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,5,0,0,0,0,20, +7,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,8,0,0,0,0,0,0,0,0,0,11,5,0,0,0,0,0,0,0,0,0,0,10,4,0,0,0,5,8,5,10,4,0,0,0,0,0, +0,13,6,9,7,0,0,10,7,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,6,0,0,0,7,0,6,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,7,10,7,0,0, +0,0,0,0,0,0,0,0,12,4,0,0,0,0,8,7,0,0,0,0,0,7,0,6,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0, +0,0,0,0,6,0,6,9,6,0,0,12,5,0,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,6,0,0,0,0, +0,0,0,0,0,0,0,0,0,5,8,7,9,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,11, +4,0,0,0,0,0,0,8,0,0,0,10,7,0,4,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6,0,0,8,0, +0,0,0,0,0,5,0,6,0,0,10,0,14,0,0,0,0,0,0,0,23,0,0,0,12,0,10,5,0,0,0,0,0,0,0,0,0, +5,0,0,0,0,8,0,0,0,0,6,8,0,0,0,0,0,0,0,0,0,22,0,8,0,0,0,0,6,0,0,0,0,0,0,0,5,0,0, +0,0,0,0,0,6,18,4,0,0,0,7,10,6,0,6,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0, +0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,7,10,0,0,0,0,0,0,6,0,0,0,0,11,5,0,0,0,0,0,0,0,0, +15,0,8,6,0,0,13,7,0,0,0,0,0,7,0,0,0,0,0,7,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,9,5,9, +0,0,6,8,6,0,0,0,0,10,0,0,0,18,5,0,0,0,5,0,7,0,0,0,0,8,6,0,0,0,0,9,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,14,0,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,6,0,0,0,5,0, +0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,8,5,0,0,0,0,0,0,0,0,9,0,0,0,0,4,0,0,0,0,0,0,0,0, +0,0,0,0,20,5,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,9,5,0,0,0,0,0,0,8,4,24,0,0,0,0,0,0, +0,0,0,0,0,0,0,9,7,0,0,0,0,10,5,0,0,8,5,0,0,0,0,0,0,0,0,12,7,0,6,0,0,10,6,0,0,0, +0,14,0,0,4,9,5,0,0,0,0,0,0,9,0,0,0,0,0,0,6,0,0,0,0,0,4,0,0,8,0,0,0,0,0,11,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,8,5,11,7,0,4,0,0,10,0,0,0,0, +0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,11,6,0,0,0,0,0,5,14,6,0,0,0,0,10,0,0, +0,13,4,0,0,0,0,0,0,0,0,0,0,0,6,0,0,10,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,7,12,0,10,6,0,0,0,0,0,0,10,0,0,0,0,0,10,0,9, +7,0,0,0,0,0,0,0,0,0,0,0,0,0,7,8,0,0,0,0,0,0,0,0,0,0,0,0,4,0,7,0,0,0,0,9,7,0,0,0, +0,0,0,0,0,0,0,0,0,24,0,11,7,0,7,0,0,0,0,0,0,8,6,0,0,0,0,0,0,8,7,0,0,0,0,0,5,0,0, +0,6,9,0,0,0,23,5,0,0,0,0,0,6,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,7,0,0,0, +0,0,0,0,0,0,0,0,0,0,6,0,0,18,4,0,0,11,7,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6, +0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,9,0,0,0,11,0,0,0,23,0,0, +0,10,4,0,0,0,0,0,7,0,0,0,7,0,0,0,0,0,4,0,0,0,0,0,7,0,0,19,0,11,0,0,0,0,0,12,7,0, +0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,5,0,0,0,0,0,5,0,0,0,0,0,5,0,0,0,0,0,0,0,6,0,0, +9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,4,0,0,0,0,10,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,4,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,22,0,8,7,10,4,11,0,13,5,8,7,9,0,8,7,0,0,0,7,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0, +0,8,0,0,0,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,4,0,0,0,4,11,0,0,6,0,0,8,5,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,8,5,0,0, +20,0,0,0,0,0,0,0,0,0,11,0,0,0,0,5,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,7,0,0,14,0,0,0,9,0,13,7,0,0,0,0,0,6,0,7,0,0,8,6,10,6,0,0,8,6,0,0,0,6,0, +0,12,6,9,0,0,0,0,0,0,5,9,0,12,4,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,8,5,0,0,0,0,0, +0,0,4,8,0,0,6,8,0,0,0,0,0,0,0,0,0,13,6,0,7,0,0,0,0,0,6,8,7,8,6,0,0,0,7,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,18,0,11,4,0,0,0,5,0,0,0,0,0,0,0,0,0,0, +0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,14, +6,0,0,0,0,12,7,8,0,0,0,0,0,0,0,8,7,0,0,0,0,10,4,0,0,0,0,0,0,10,0,0,6,0,0,0,0,0, +0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,15,6,9,7,0,0,0,0,0,0,15,6,11,7,0,0,0,7,0,0,21,0,0, +0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,17,6,0,0,10,5,0,5,0,0,0,0,0,0,0,0,0,7, +0,0,10,0,0,0,0,0,0,0,0,4,11,5,0,0,0,0,16,7,0,0,0,0,0,6,0,0,8,7,0,4,0,0,10,0,0,0, +0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,8,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0, +0,0,0,10,4,0,0,0,0,0,0,0,0,0,6,0,5,0,0,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0, +0,7,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,6,10,7,0,0,0,0,0,0,0,0,8,4,0,0,10,0,0,0,0,4,0,6,0,6,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,7,17,0,0,0,0,0, +0,0,0,0,0,0,10,0,0,7,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +6,0,0,0,5,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,5,0,4,0,0,0,0,0,6,0,0,0,0,0,0,10,5,0,0, +0,5,0,0,0,0,9,0,19,7,0,0,0,0,0,7,0,0,0,0,10,6,0,0,0,6,0,5,0,0,0,0,0,0,0,0,0,6,8, +0,0,0,0,0,11,0,0,0,0,0,0,6,0,0,0,0,0,7,9,0,15,0,0,0,0,0,0,0,0,0,0,4,0,0,0,5,0,0, +0,0,0,0,0,6,0,0,0,0,0,0,0,4,0,0,0,0,9,0,0,0,0,0,0,0,0,6,0,7,0,0,0,0,0,0,0,6,0,0, +0,0,0,6,10,0,0,0,0,0,0,0,23,0,14,0,0,0,0,7,0,0,0,0,0,7,0,0,9,0,0,0,0,7,0,0,0,0, +0,6,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,4,0,0,0, +0,0,0,0,0,9,5,0,0,0,0,0,4,0,0,0,0,9,5,0,0,0,0,22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,22,0,0,0,0,0,0,0,10,0,0,0,0,0,0,5,0,4,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,6,11,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,14,7,0,0,12,7,0,0,0, +0,0,0,0,0,0,4,0,0,0,0,0,6,0,0,0,0,8,6,10,0,0,0,0,0,0,0,0,0,10,7,8,5,0,0,0,0,0,0, +0,0,8,4,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,5,0,0,9,5,0,0,0,0,0,5,0,0,0,0,0,4,0,0,0, +0,0,0,0,0,0,0,12,4,11,0,0,0,9,0,11,7,0,0,0,0,0,0,10,6,0,0,0,6,0,0,0,0,15,5,0,0, +11,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,4,0,4,0,6,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,8,0,0,0,19,7,0,4,0,0,9,0,0,0,0,0,10,0, +0,6,0,0,13,0,12,6,0,0,0,0,0,0,0,0,10,7,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,13,7,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,4,9,0,0,0,10,0,0,0,0,0,0,0, +0,5,0,0,0,0,0,0,10,0,23,6,0,0,0,6,8,0,0,0,0,0,0,0,0,0,17,7,0,0,0,0,11,6,22,5,0, +0,9,6,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0,5,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,4,11,0,9,4,0,0, +0,7,0,7,0,0,0,0,0,0,12,4,0,0,0,0,0,0,0,0,0,0,0,0,11,4,0,0,0,0,0,0,0,0,0,0,0,0,0, +4,0,0,11,5,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,8,6,0,0,0,4,0,0,0,0, +0,0,0,0,0,7,0,0,0,4,0,0,10,4,0,0,0,0,0,0,0,7,0,7,0,0,0,6,0,0,0,0,8,6,0,6,0,6,0, +0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,0,0,0,0,9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,6,22,6,12,0,0,6,0,0,0,6,0,0,0,0,0,7,0,0,0,0,11,0,0,0, +9,7,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,6,0,0,0,6,0,6,0,0,8,7,0,0,0,4,9,7,19,0,0,0,0,0,0,0,0,0,9,6,10,6,0,6,0,0,0, +4,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,6,16,7,10,6,0,0,23,6,11,7,0,4,0,0,0,0,0,0,0,0,0, +5,0,0,0,0,10,7,0,0,0,0,0,7,0,0,0,0,0,0,15,0,10,0,0,0,14,6,0,0,0,0,0,0,0,0,0,0,0, +5,0,0,0,0,0,0,0,5,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,5,0,0,11,5,0,0,0,0,0,0,0,0,0,0, +0,4,0,0,0,0,0,6,0,0,10,0,0,0,0,7,0,0,0,0,0,0,10,6,0,0,0,0,8,4,0,0,0,7,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,7,12,5,0,0,0,0, +0,6,0,0,0,0,9,6,0,0,0,0,0,0,0,6,9,0,0,0,0,6,0,0,0,0,8,7,0,0,0,0,0,0,0,6,0,0,0,0, +0,0,0,0,0,0,10,5,0,0,0,0,0,0,8,6,0,0,0,0,0,6,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,8,5,0,0,0,0,0,7,0,7,0,4,0,0,10,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,5,0,0,0,0,13, +7,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,7,0,0,13,0,0,0,0,0,0,0,0,7,10,5,0,0,0,0,0,0,9,7,0,0,8,6,9, +5,0,0,0,0,0,6,12,0,0,0,0,0,0,0,18,6,0,0,0,0,0,0,0,0,19,7,0,4,0,0,0,0,9,5,0,5,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,7,0,0,0,0,0,0,14,0,0,0,23,7,8,7,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,22,0,0,7,0,0,0,0,0,0,0,0,9,7,8,4,0, +0,0,0,0,0,0,0,8,5,0,6,0,0,0,0,0,6,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0, +8,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,12,5,0,0,0,0,0,0,0,0,0,0,8,6,0,0,11,7,0,0,0, +0,12,0,8,6,19,7,0,0,0,0,0,0,0,0,0,0,0,0,0,6,11,0,0,6,0,7,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,11,7,0,0,0,0,0,4,10,0,0,0,0,0,0,0,8,7,0,0,0,0,14,0,8,0,0,6,10,0,0, +0,0,0,0,0,12,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,6,0,0,0,0, +0,0,0,0,13,0,0,0,0,0,0,0,11,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0, +0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,5,0,0,0,6,0,0,0,5,0,7,0,0,0, +0,0,6,0,0,21,7,0,0,9,6,0,0,0,6,0,0,13,7,0,0,0,5,0,0,0,0,0,4,0,6,0,0,0,0,0,0,0,0, +0,0,0,4,0,0,0,0,0,0,11,5,0,6,0,0,10,5,0,0,0,0,0,0,0,0,9,6,0,0,8,7,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,9,0,0,0,0,0,0,6,0,0,0,0,15,4,0,0,12,7,0,0,0,6, +0,7,0,0,8,0,9,5,0,4,0,0,0,6,0,6,0,0,23,4,0,0,0,0,0,0,0,0,0,0,0,0,10,7,0,4,0,0,8, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,6,0,0,0,0,0,0,0,0,0, +7,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,12,6,0,0,0,0,0,0,10,7,0,7,0,0,0,0,0,0,0,0,0,0, +9,0,0,0,0,0,8,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4,11,5,0,0,0,6,0,6,0,0,0,0,0,0,0,6,0, +4,0,0,0,0,0,0,0,0,0,0,0,5,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,8,7,0,0,0,6,0,6,0, +0,0,0,0,0,0,0,0,5,0,0,0,0,0,5,0,0,0,0,11,0,0,0,0,0,0,0,10,5,9,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,23,7,0,0,0,0,0,7,0,0,10,6,18,0,0,0, +0,0,0,0,8,7,0,6,0,0,0,0,0,0,8,5,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0, +0,0,0,0,0,6,0,0,0,4,12,7,0,0,0,0,0,0,0,0,10,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,6,0,0,0,0,0,0,13,5,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,4,0,0,0,0,0,0,0,0, +11,7,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0, +0,0,0,0,6,0,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,10,0,11,0,0,0,0,0,0,0,0,0, +17,5,0,4,0,0,0,0,0,0,0,7,0,0,0,0,0,6,0,0,0,0,0,0,0,4,0,0,0,0,8,7,0,0,0,0,0,0,0, +0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0, +10,0,0,0,8,6,0,0,0,7,0,0,0,0,0,0,8,0,0,0,14,0,0,0,0,7,0,0,0,4,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,9,4,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0, +10,0,0,0,16,5,0,0,0,0,0,0,8,0,0,4,0,0,0,0,0,0,0,0,0,0,9,6,0,0,0,0,0,0,10,0,0,0, +0,0,0,0,0,5,0,0,0,0,12,5,0,7,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,7,0, +0,0,0,0,0,0,0,12,6,0,0,0,0,0,7,0,6,0,6,12,6,0,0,0,0,0,0,0,4,8,7,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,6,0,6,0,0,0,0,0,0,0,0,10,6,8,0,0, +6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +16,0,8,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,23,5,0,0,0,7,0,6,0, +0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,14,0,0,0,0,7,0,0,0,4,17,5,0,0,0,0,11,0,9,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,6,0,0,0,5,0,7,0,0,0,0,0,0,0,0,8,0,0,0, +12,6,0,0,0,0,0,0,13,0,0,0,0,7,9,0,0,0,0,0,0,0,0,0,0,5,0,0,0,7,10,7,12,0,0,0,9,0, +0,0,14,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,15,6,0,0,23,0,0,7,0,6,0,0,0,7,0,6, +0,0,0,0,0,0,0,6,0,6,9,0,0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,8,7,9,4,0,0,10,0,0,0,10, +6,0,7,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,23,0,0,6,0,0,0,0,0,0,9,4, +0,0,10,7,0,0,0,0,0,0,0,0,0,0,0,0,9,7,0,0,9,6,0,0,0,0,8,6,0,0,0,0,0,0,0,0,12,0,0, +0,0,0,8,0,0,6,11,6,0,0,8,7,8,5,0,0,0,0,0,5,0,0,0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,0, +10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0, +7,0,0,0,0,9,6,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,8,0,0,0,0,6,12,5,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,10,0,10, +7,0,0,8,0,0,0,0,4,0,0,0,6,0,0,0,6,0,0,0,6,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,5,0, +0,0,4,0,0,0,0,0,4,0,0,0,0,0,0,0,6,0,6,0,5,0,0,0,0,8,0,0,0,10,7,0,0,0,0,10,0,0,0, +0,0,13,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,19,7,0,4,12,0,8,0,0,0,0,6,0,0,0,0, +0,0,0,6,0,0,0,0,0,0,0,0,0,4,0,0,0,0,18,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0, +0,14,0,0,4,0,0,0,6,0,0,0,6,0,0,0,7,0,0,0,0,0,0,10,4,0,0,9,7,0,0,11,0,0,0,0,0,0, +7,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,4,0,0,12,0,0,0, +0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,22,5,9,7,0,0,0,0,0,0,0,0,0, +0,0,6,0,0,9,6,0,5,0,0,0,0,0,0,10,5,0,0,8,6,0,6,10,5,0,0,0,6,0,0,0,6,0,0,20,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,6,0,0,0,0,17,4,0,7,0,6, +0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10, +0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,7,0,0,0,0,0,0,0, +0,0,7,0,0,8,6,12,0,0,7,18,7,0,0,8,4,0,0,0,0,9,6,0,0,0,0,0,0,0,0,13,0,0,6,0,0,0, +0,0,0,0,0,0,0,10,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,7,0,0, +0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,8,5,0,0,0,0,0,0,0,0,12,0,0,0,8,0,0,0,0,0,0, +4,0,0,10,0,16,0,0,0,0,0,0,0,12,7,10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,16,6,10,0,0,5,0,0,0,0,0,6,0,0,0,0, +0,7,0,0,0,7,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,5,8,7,0,7,0,0,0,0,0,0,0,0,8,0,0,6,0,0,0,6,0,0,0,4,0,0,0,0, +8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,7,0,0,8,0,0,0, +9,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,7,13,5,0,5,0,0,0,7,8,4,0,0,0,0,0,0,0, +0,12,0,0,0,0,0,0,0,0,0,0,0,8,6,0,6,0,0,11,0,0,0,0,0,0,0,0,6,0,0,0,0,0,4,0,0,0,0, +0,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,10,7,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,11,6,0,0,10,6,0,0, +0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6, +0,0,0,6,0,0,0,7,0,0,9,0,8,7,11,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,9,6,10,5,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,10,7,0,0,0,0,0,0,11,0,9,6,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,5,0,6,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,15,5,12,5, +0,0,0,0,0,0,12,7,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,12,6,0, +0,0,0,24,4,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,7,0,0,0,0,0,0,0,0,0,0, +0,0,0,4,10,4,0,0,0,0,10,7,0,0,0,0,0,0,0,0,0,0,0,0,9,0,11,0,0,0,0,0,0,0,0,0,0,6, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5, +0,0,8,0,0,0,0,7,0,0,0,0,0,0,10,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,10,7,0,0,0,0,0, +0,0,0,0,0,14,7,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,4,0,0,0,6,0,0,0,0,0,6,0,0,0,6,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,11,6,0,0,0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,7,20,7,11,4,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,7,9,6,0,0,12,7,0,0,0,0,0,0,10,0,12,0, +0,0,0,0,0,4,9,6,13,0,0,0,0,0,0,0,0,6,0,0,0,6,0,0,0,5,0,0,0,0,0,0,8,0,0,0,0,0,0, +0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,11,0,9,0,0,0,0,4,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,8,5,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0, +0,4,0,5,0,0,0,0,0,0,0,0,0,4,0,0,0,0,9,7,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0, +0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,6, +0,0,0,0,8,7,0,0,0,0,0,0,12,0,0,6,0,0,0,0,0,0,0,6,8,4,0,0,10,7,0,0,10,0,0,0,0,0, +0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,7,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,4,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,7,0,0,0,0,0,0,0,5, +0,4,0,0,0,0,0,6,0,0,0,0,0,0,8,0,0,6,0,0,0,6,0,0,0,0,0,7,0,5,8,4,0,0,9,0,0,0,0,4, +0,0,0,0,0,0,0,0,0,5,0,0,15,6,8,6,0,0,0,6,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,6,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,9,6,0,0,0,0,0,0,0,7,0,0,0,4,0, +6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,9,5,0,6,12,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,6,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,8,7,0,6,0,0,0,0,0,0,0,0,0,0,0,0,11,0,12,7,0,0,0,0, +0,0,0,0,0,5,0,5,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,11,4,0,0,0,0,0,0,0,0,0,0,10, +7,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,7,8,7,9,6,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,5,12,0, +10,5,12,6,0,0,0,7,0,0,0,0,0,0,0,5,0,0,0,5,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7, +11,7,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,6,0,7,0,0,0,0,8,0,8,5,0,6,0,0,0,6,0,0,0, +0,0,0,0,6,0,6,0,6,9,0,0,5,17,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,7,0,0, +0,0,0,7,0,0,0,0,16,5,0,0,0,0,0,0,0,4,0,0,0,5,11,5,0,7,0,0,0,4,8,7,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,7,0,0,0,0,12,0,0,0, +0,0,12,0,0,0,0,0,0,0,0,4,10,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,6,0,0,0,0,0,0,0,4,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,20,5,0,0, +10,0,0,0,0,0,0,0,0,0,0,6,0,0,0,6,12,0,0,0,0,0,0,6,0,0,0,0,0,0,9,4,10,7,0,4,0,0, +0,0,0,0,10,6,0,0,0,0,8,4,0,7,8,6,0,6,8,0,10,0,0,0,0,0,13,5,0,6,0,0,0,0,0,0,22,4, +0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,6,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,6,10, +5,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,10,4,0,0,10,7,0,0,0,0,0,5,0, +5,8,0,0,0,0,6,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,10,7,0,0,0,4,0,0,0,0,0,6,0,0, +0,0,0,0,0,0,8,7,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,7,0,0,0,6,0,0,0,0,0,0,0,0,0, +4,0,0,0,4,10,0,0,6,13,7,8,0,0,0,0,0,0,7,0,0,12,7,0,0,0,0,0,0,10,5,0,0,0,0,0,6,0, +0,0,0,0,0,0,0,0,0,13,7,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,6,0,0,0,0,0,0,0,0,8,6,0,6, +0,0,0,0,0,0,0,0,12,0,8,4,0,0,0,0,0,4,0,4,0,0,0,0,0,0,0,5,0,0,0,0,12,5,0,0,0,7,0, +0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,10,0,0,0,20,0,0,5,0,0,10, +7,11,7,0,0,0,0,0,0,0,0,0,0,17,0,9,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,10,7,0,4,0,6,0,0,24,0,0,5,0,0,0,0,8,0,0, +0,0,0,0,0,10,5,0,4,0,6,0,0,8,0,0,0,0,0,0,4,0,6,0,0,0,0,0,0,9,5,0,0,0,0,0,0,0,0, +0,0,0,6,0,0,0,0,9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,4,0,7, +0,0,13,0,0,0,0,0,0,0,11,6,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0, +17,7,0,0,11,6,0,0,0,0,12,6,0,0,0,6,0,6,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,5,0,0,0,6,0,0,0,0,0,0,0,0,0,0,10,0,0,4,8,6,0,0,0, +0,0,0,9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,9,5,0,7,18,0,0,0,0,0,0,0,0,0,0,0,0,0,8,6,0,0,0,0,0,0,0,0,8,0,0,0, +0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0, +0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,4,0,6,0,0,9,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0, +0,0,0,8,7,10,0,8,5,0,0,0,0,0,0,0,0,9,0,0,0,10,0,0,0,0,6,0,7,0,4,0,0,0,0,0,0,0,0, +8,0,0,0,0,0,8,4,0,0,0,0,0,5,0,0,10,0,12,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +4,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,6,11,0,0, +7,0,0,0,0,0,6,10,5,0,0,0,0,0,0,0,0,0,5,0,0,9,5,12,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,6,0,0,0,0,13,6,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0, +0,0,0,8,4,0,6,12,0,0,0,0,0,0,0,0,0,0,0,0,6,0,6,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,11,4,0,0,0,6,14,0,11,0,9,6,0,0,0,0,0,0,22,0,12,0,8,6,0,0,0,0,0,0,0,6,0, +0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0, +10,7,0,0,0,0,0,0,0,0,9,0,0,0,0,4,0,0,0,0,0,0,0,0,0,5,11,0,0,0,0,0,0,0,8,6,0,0,9, +7,0,0,12,4,0,0,0,0,0,0,12,6,0,6,0,7,0,0,8,5,0,0,0,0}; + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/dictionary_hash.h b/modules/brotli/enc/dictionary_hash.h new file mode 100644 index 0000000000..e553ea5d4e --- /dev/null +++ b/modules/brotli/enc/dictionary_hash.h @@ -0,0 +1,25 @@ +/* Copyright 2015 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Hash table on the 4-byte prefixes of static dictionary words. */ + +#ifndef BROTLI_ENC_DICTIONARY_HASH_H_ +#define BROTLI_ENC_DICTIONARY_HASH_H_ + +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +extern const uint16_t kStaticDictionaryHashWords[32768]; +extern const uint8_t kStaticDictionaryHashLengths[32768]; + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_DICTIONARY_HASH_H_ */ diff --git a/modules/brotli/enc/encode.c b/modules/brotli/enc/encode.c new file mode 100644 index 0000000000..8d90937b43 --- /dev/null +++ b/modules/brotli/enc/encode.c @@ -0,0 +1,1927 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Implementation of Brotli compressor. */ + +#include <brotli/encode.h> + +#include <stdlib.h> /* free, malloc */ +#include <string.h> /* memcpy, memset */ + +#include "../common/constants.h" +#include "../common/context.h" +#include "../common/platform.h" +#include "../common/version.h" +#include "./backward_references.h" +#include "./backward_references_hq.h" +#include "./bit_cost.h" +#include "./brotli_bit_stream.h" +#include "./compress_fragment.h" +#include "./compress_fragment_two_pass.h" +#include "./encoder_dict.h" +#include "./entropy_encode.h" +#include "./fast_log.h" +#include "./hash.h" +#include "./histogram.h" +#include "./memory.h" +#include "./metablock.h" +#include "./prefix.h" +#include "./quality.h" +#include "./ringbuffer.h" +#include "./utf8_util.h" +#include "./write_bits.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +#define COPY_ARRAY(dst, src) memcpy(dst, src, sizeof(src)); + +typedef enum BrotliEncoderStreamState { + /* Default state. */ + BROTLI_STREAM_PROCESSING = 0, + /* Intermediate state; after next block is emitted, byte-padding should be + performed before getting back to default state. */ + BROTLI_STREAM_FLUSH_REQUESTED = 1, + /* Last metablock was produced; no more input is acceptable. */ + BROTLI_STREAM_FINISHED = 2, + /* Flushing compressed block and writing meta-data block header. */ + BROTLI_STREAM_METADATA_HEAD = 3, + /* Writing metadata block body. */ + BROTLI_STREAM_METADATA_BODY = 4 +} BrotliEncoderStreamState; + +typedef enum BrotliEncoderFlintState { + BROTLI_FLINT_NEEDS_2_BYTES = 2, + BROTLI_FLINT_NEEDS_1_BYTE = 1, + BROTLI_FLINT_WAITING_FOR_PROCESSING = 0, + BROTLI_FLINT_WAITING_FOR_FLUSHING = -1, + BROTLI_FLINT_DONE = -2 +} BrotliEncoderFlintState; + +typedef struct BrotliEncoderStateStruct { + BrotliEncoderParams params; + + MemoryManager memory_manager_; + + uint64_t input_pos_; + RingBuffer ringbuffer_; + size_t cmd_alloc_size_; + Command* commands_; + size_t num_commands_; + size_t num_literals_; + size_t last_insert_len_; + uint64_t last_flush_pos_; + uint64_t last_processed_pos_; + int dist_cache_[BROTLI_NUM_DISTANCE_SHORT_CODES]; + int saved_dist_cache_[4]; + uint16_t last_bytes_; + uint8_t last_bytes_bits_; + /* "Flint" is a tiny uncompressed block emitted before the continuation + block to unwire literal context from previous data. Despite being int8_t, + field is actually BrotliEncoderFlintState enum. */ + int8_t flint_; + uint8_t prev_byte_; + uint8_t prev_byte2_; + size_t storage_size_; + uint8_t* storage_; + + Hasher hasher_; + + /* Hash table for FAST_ONE_PASS_COMPRESSION_QUALITY mode. */ + int small_table_[1 << 10]; /* 4KiB */ + int* large_table_; /* Allocated only when needed */ + size_t large_table_size_; + /* Command and distance prefix codes (each 64 symbols, stored back-to-back) + used for the next block in FAST_ONE_PASS_COMPRESSION_QUALITY. The command + prefix code is over a smaller alphabet with the following 64 symbols: + 0 - 15: insert length code 0, copy length code 0 - 15, same distance + 16 - 39: insert length code 0, copy length code 0 - 23 + 40 - 63: insert length code 0 - 23, copy length code 0 + Note that symbols 16 and 40 represent the same code in the full alphabet, + but we do not use either of them in FAST_ONE_PASS_COMPRESSION_QUALITY. */ + uint8_t cmd_depths_[128]; + uint16_t cmd_bits_[128]; + /* The compressed form of the command and distance prefix codes for the next + block in FAST_ONE_PASS_COMPRESSION_QUALITY. */ + uint8_t cmd_code_[512]; + size_t cmd_code_numbits_; + /* Command and literal buffers for FAST_TWO_PASS_COMPRESSION_QUALITY. */ + uint32_t* command_buf_; + uint8_t* literal_buf_; + + uint8_t* next_out_; + size_t available_out_; + size_t total_out_; + /* Temporary buffer for padding flush bits or metadata block header / body. */ + union { + uint64_t u64[2]; + uint8_t u8[16]; + } tiny_buf_; + uint32_t remaining_metadata_bytes_; + BrotliEncoderStreamState stream_state_; + + BROTLI_BOOL is_last_block_emitted_; + BROTLI_BOOL is_initialized_; +} BrotliEncoderStateStruct; + +static size_t InputBlockSize(BrotliEncoderState* s) { + return (size_t)1 << s->params.lgblock; +} + +static uint64_t UnprocessedInputSize(BrotliEncoderState* s) { + return s->input_pos_ - s->last_processed_pos_; +} + +static size_t RemainingInputBlockSize(BrotliEncoderState* s) { + const uint64_t delta = UnprocessedInputSize(s); + size_t block_size = InputBlockSize(s); + if (delta >= block_size) return 0; + return block_size - (size_t)delta; +} + +BROTLI_BOOL BrotliEncoderSetParameter( + BrotliEncoderState* state, BrotliEncoderParameter p, uint32_t value) { + /* Changing parameters on the fly is not implemented yet. */ + if (state->is_initialized_) return BROTLI_FALSE; + /* TODO: Validate/clamp parameters here. */ + switch (p) { + case BROTLI_PARAM_MODE: + state->params.mode = (BrotliEncoderMode)value; + return BROTLI_TRUE; + + case BROTLI_PARAM_QUALITY: + state->params.quality = (int)value; + return BROTLI_TRUE; + + case BROTLI_PARAM_LGWIN: + state->params.lgwin = (int)value; + return BROTLI_TRUE; + + case BROTLI_PARAM_LGBLOCK: + state->params.lgblock = (int)value; + return BROTLI_TRUE; + + case BROTLI_PARAM_DISABLE_LITERAL_CONTEXT_MODELING: + if ((value != 0) && (value != 1)) return BROTLI_FALSE; + state->params.disable_literal_context_modeling = TO_BROTLI_BOOL(!!value); + return BROTLI_TRUE; + + case BROTLI_PARAM_SIZE_HINT: + state->params.size_hint = value; + return BROTLI_TRUE; + + case BROTLI_PARAM_LARGE_WINDOW: + state->params.large_window = TO_BROTLI_BOOL(!!value); + return BROTLI_TRUE; + + case BROTLI_PARAM_NPOSTFIX: + state->params.dist.distance_postfix_bits = value; + return BROTLI_TRUE; + + case BROTLI_PARAM_NDIRECT: + state->params.dist.num_direct_distance_codes = value; + return BROTLI_TRUE; + + case BROTLI_PARAM_STREAM_OFFSET: + if (value > (1u << 30)) return BROTLI_FALSE; + state->params.stream_offset = value; + return BROTLI_TRUE; + + default: return BROTLI_FALSE; + } +} + +/* Wraps 64-bit input position to 32-bit ring-buffer position preserving + "not-a-first-lap" feature. */ +static uint32_t WrapPosition(uint64_t position) { + uint32_t result = (uint32_t)position; + uint64_t gb = position >> 30; + if (gb > 2) { + /* Wrap every 2GiB; The first 3GB are continuous. */ + result = (result & ((1u << 30) - 1)) | ((uint32_t)((gb - 1) & 1) + 1) << 30; + } + return result; +} + +static uint8_t* GetBrotliStorage(BrotliEncoderState* s, size_t size) { + MemoryManager* m = &s->memory_manager_; + if (s->storage_size_ < size) { + BROTLI_FREE(m, s->storage_); + s->storage_ = BROTLI_ALLOC(m, uint8_t, size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(s->storage_)) return NULL; + s->storage_size_ = size; + } + return s->storage_; +} + +static size_t HashTableSize(size_t max_table_size, size_t input_size) { + size_t htsize = 256; + while (htsize < max_table_size && htsize < input_size) { + htsize <<= 1; + } + return htsize; +} + +static int* GetHashTable(BrotliEncoderState* s, int quality, + size_t input_size, size_t* table_size) { + /* Use smaller hash table when input.size() is smaller, since we + fill the table, incurring O(hash table size) overhead for + compression, and if the input is short, we won't need that + many hash table entries anyway. */ + MemoryManager* m = &s->memory_manager_; + const size_t max_table_size = MaxHashTableSize(quality); + size_t htsize = HashTableSize(max_table_size, input_size); + int* table; + BROTLI_DCHECK(max_table_size >= 256); + if (quality == FAST_ONE_PASS_COMPRESSION_QUALITY) { + /* Only odd shifts are supported by fast-one-pass. */ + if ((htsize & 0xAAAAA) == 0) { + htsize <<= 1; + } + } + + if (htsize <= sizeof(s->small_table_) / sizeof(s->small_table_[0])) { + table = s->small_table_; + } else { + if (htsize > s->large_table_size_) { + s->large_table_size_ = htsize; + BROTLI_FREE(m, s->large_table_); + s->large_table_ = BROTLI_ALLOC(m, int, htsize); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(s->large_table_)) return 0; + } + table = s->large_table_; + } + + *table_size = htsize; + memset(table, 0, htsize * sizeof(*table)); + return table; +} + +static void EncodeWindowBits(int lgwin, BROTLI_BOOL large_window, + uint16_t* last_bytes, uint8_t* last_bytes_bits) { + if (large_window) { + *last_bytes = (uint16_t)(((lgwin & 0x3F) << 8) | 0x11); + *last_bytes_bits = 14; + } else { + if (lgwin == 16) { + *last_bytes = 0; + *last_bytes_bits = 1; + } else if (lgwin == 17) { + *last_bytes = 1; + *last_bytes_bits = 7; + } else if (lgwin > 17) { + *last_bytes = (uint16_t)(((lgwin - 17) << 1) | 0x01); + *last_bytes_bits = 4; + } else { + *last_bytes = (uint16_t)(((lgwin - 8) << 4) | 0x01); + *last_bytes_bits = 7; + } + } +} + +/* Initializes the command and distance prefix codes for the first block. */ +static void InitCommandPrefixCodes(uint8_t cmd_depths[128], + uint16_t cmd_bits[128], + uint8_t cmd_code[512], + size_t* cmd_code_numbits) { + static const uint8_t kDefaultCommandDepths[128] = { + 0, 4, 4, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, + 0, 0, 0, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, + 7, 7, 10, 10, 10, 10, 10, 10, 0, 4, 4, 5, 5, 5, 6, 6, + 7, 8, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, + 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, + 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 10, + 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, + }; + static const uint16_t kDefaultCommandBits[128] = { + 0, 0, 8, 9, 3, 35, 7, 71, + 39, 103, 23, 47, 175, 111, 239, 31, + 0, 0, 0, 4, 12, 2, 10, 6, + 13, 29, 11, 43, 27, 59, 87, 55, + 15, 79, 319, 831, 191, 703, 447, 959, + 0, 14, 1, 25, 5, 21, 19, 51, + 119, 159, 95, 223, 479, 991, 63, 575, + 127, 639, 383, 895, 255, 767, 511, 1023, + 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 27, 59, 7, 39, 23, 55, 30, 1, 17, 9, 25, 5, 0, 8, 4, 12, + 2, 10, 6, 21, 13, 29, 3, 19, 11, 15, 47, 31, 95, 63, 127, 255, + 767, 2815, 1791, 3839, 511, 2559, 1535, 3583, 1023, 3071, 2047, 4095, + }; + static const uint8_t kDefaultCommandCode[] = { + 0xff, 0x77, 0xd5, 0xbf, 0xe7, 0xde, 0xea, 0x9e, 0x51, 0x5d, 0xde, 0xc6, + 0x70, 0x57, 0xbc, 0x58, 0x58, 0x58, 0xd8, 0xd8, 0x58, 0xd5, 0xcb, 0x8c, + 0xea, 0xe0, 0xc3, 0x87, 0x1f, 0x83, 0xc1, 0x60, 0x1c, 0x67, 0xb2, 0xaa, + 0x06, 0x83, 0xc1, 0x60, 0x30, 0x18, 0xcc, 0xa1, 0xce, 0x88, 0x54, 0x94, + 0x46, 0xe1, 0xb0, 0xd0, 0x4e, 0xb2, 0xf7, 0x04, 0x00, + }; + static const size_t kDefaultCommandCodeNumBits = 448; + COPY_ARRAY(cmd_depths, kDefaultCommandDepths); + COPY_ARRAY(cmd_bits, kDefaultCommandBits); + + /* Initialize the pre-compressed form of the command and distance prefix + codes. */ + COPY_ARRAY(cmd_code, kDefaultCommandCode); + *cmd_code_numbits = kDefaultCommandCodeNumBits; +} + +/* Decide about the context map based on the ability of the prediction + ability of the previous byte UTF8-prefix on the next byte. The + prediction ability is calculated as Shannon entropy. Here we need + Shannon entropy instead of 'BitsEntropy' since the prefix will be + encoded with the remaining 6 bits of the following byte, and + BitsEntropy will assume that symbol to be stored alone using Huffman + coding. */ +static void ChooseContextMap(int quality, + uint32_t* bigram_histo, + size_t* num_literal_contexts, + const uint32_t** literal_context_map) { + static const uint32_t kStaticContextMapContinuation[64] = { + 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + }; + static const uint32_t kStaticContextMapSimpleUTF8[64] = { + 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + }; + + uint32_t monogram_histo[3] = { 0 }; + uint32_t two_prefix_histo[6] = { 0 }; + size_t total; + size_t i; + size_t dummy; + double entropy[4]; + for (i = 0; i < 9; ++i) { + monogram_histo[i % 3] += bigram_histo[i]; + two_prefix_histo[i % 6] += bigram_histo[i]; + } + entropy[1] = ShannonEntropy(monogram_histo, 3, &dummy); + entropy[2] = (ShannonEntropy(two_prefix_histo, 3, &dummy) + + ShannonEntropy(two_prefix_histo + 3, 3, &dummy)); + entropy[3] = 0; + for (i = 0; i < 3; ++i) { + entropy[3] += ShannonEntropy(bigram_histo + 3 * i, 3, &dummy); + } + + total = monogram_histo[0] + monogram_histo[1] + monogram_histo[2]; + BROTLI_DCHECK(total != 0); + entropy[0] = 1.0 / (double)total; + entropy[1] *= entropy[0]; + entropy[2] *= entropy[0]; + entropy[3] *= entropy[0]; + + if (quality < MIN_QUALITY_FOR_HQ_CONTEXT_MODELING) { + /* 3 context models is a bit slower, don't use it at lower qualities. */ + entropy[3] = entropy[1] * 10; + } + /* If expected savings by symbol are less than 0.2 bits, skip the + context modeling -- in exchange for faster decoding speed. */ + if (entropy[1] - entropy[2] < 0.2 && + entropy[1] - entropy[3] < 0.2) { + *num_literal_contexts = 1; + } else if (entropy[2] - entropy[3] < 0.02) { + *num_literal_contexts = 2; + *literal_context_map = kStaticContextMapSimpleUTF8; + } else { + *num_literal_contexts = 3; + *literal_context_map = kStaticContextMapContinuation; + } +} + +/* Decide if we want to use a more complex static context map containing 13 + context values, based on the entropy reduction of histograms over the + first 5 bits of literals. */ +static BROTLI_BOOL ShouldUseComplexStaticContextMap(const uint8_t* input, + size_t start_pos, size_t length, size_t mask, int quality, size_t size_hint, + size_t* num_literal_contexts, const uint32_t** literal_context_map) { + static const uint32_t kStaticContextMapComplexUTF8[64] = { + 11, 11, 12, 12, /* 0 special */ + 0, 0, 0, 0, /* 4 lf */ + 1, 1, 9, 9, /* 8 space */ + 2, 2, 2, 2, /* !, first after space/lf and after something else. */ + 1, 1, 1, 1, /* " */ + 8, 3, 3, 3, /* % */ + 1, 1, 1, 1, /* ({[ */ + 2, 2, 2, 2, /* }]) */ + 8, 4, 4, 4, /* :; */ + 8, 7, 4, 4, /* . */ + 8, 0, 0, 0, /* > */ + 3, 3, 3, 3, /* [0..9] */ + 5, 5, 10, 5, /* [A-Z] */ + 5, 5, 10, 5, + 6, 6, 6, 6, /* [a-z] */ + 6, 6, 6, 6, + }; + BROTLI_UNUSED(quality); + /* Try the more complex static context map only for long data. */ + if (size_hint < (1 << 20)) { + return BROTLI_FALSE; + } else { + const size_t end_pos = start_pos + length; + /* To make entropy calculations faster and to fit on the stack, we collect + histograms over the 5 most significant bits of literals. One histogram + without context and 13 additional histograms for each context value. */ + uint32_t combined_histo[32] = { 0 }; + uint32_t context_histo[13][32] = { { 0 } }; + uint32_t total = 0; + double entropy[3]; + size_t dummy; + size_t i; + ContextLut utf8_lut = BROTLI_CONTEXT_LUT(CONTEXT_UTF8); + for (; start_pos + 64 <= end_pos; start_pos += 4096) { + const size_t stride_end_pos = start_pos + 64; + uint8_t prev2 = input[start_pos & mask]; + uint8_t prev1 = input[(start_pos + 1) & mask]; + size_t pos; + /* To make the analysis of the data faster we only examine 64 byte long + strides at every 4kB intervals. */ + for (pos = start_pos + 2; pos < stride_end_pos; ++pos) { + const uint8_t literal = input[pos & mask]; + const uint8_t context = (uint8_t)kStaticContextMapComplexUTF8[ + BROTLI_CONTEXT(prev1, prev2, utf8_lut)]; + ++total; + ++combined_histo[literal >> 3]; + ++context_histo[context][literal >> 3]; + prev2 = prev1; + prev1 = literal; + } + } + entropy[1] = ShannonEntropy(combined_histo, 32, &dummy); + entropy[2] = 0; + for (i = 0; i < 13; ++i) { + entropy[2] += ShannonEntropy(&context_histo[i][0], 32, &dummy); + } + entropy[0] = 1.0 / (double)total; + entropy[1] *= entropy[0]; + entropy[2] *= entropy[0]; + /* The triggering heuristics below were tuned by compressing the individual + files of the silesia corpus. If we skip this kind of context modeling + for not very well compressible input (i.e. entropy using context modeling + is 60% of maximal entropy) or if expected savings by symbol are less + than 0.2 bits, then in every case when it triggers, the final compression + ratio is improved. Note however that this heuristics might be too strict + for some cases and could be tuned further. */ + if (entropy[2] > 3.0 || entropy[1] - entropy[2] < 0.2) { + return BROTLI_FALSE; + } else { + *num_literal_contexts = 13; + *literal_context_map = kStaticContextMapComplexUTF8; + return BROTLI_TRUE; + } + } +} + +static void DecideOverLiteralContextModeling(const uint8_t* input, + size_t start_pos, size_t length, size_t mask, int quality, size_t size_hint, + size_t* num_literal_contexts, const uint32_t** literal_context_map) { + if (quality < MIN_QUALITY_FOR_CONTEXT_MODELING || length < 64) { + return; + } else if (ShouldUseComplexStaticContextMap( + input, start_pos, length, mask, quality, size_hint, + num_literal_contexts, literal_context_map)) { + /* Context map was already set, nothing else to do. */ + } else { + /* Gather bi-gram data of the UTF8 byte prefixes. To make the analysis of + UTF8 data faster we only examine 64 byte long strides at every 4kB + intervals. */ + const size_t end_pos = start_pos + length; + uint32_t bigram_prefix_histo[9] = { 0 }; + for (; start_pos + 64 <= end_pos; start_pos += 4096) { + static const int lut[4] = { 0, 0, 1, 2 }; + const size_t stride_end_pos = start_pos + 64; + int prev = lut[input[start_pos & mask] >> 6] * 3; + size_t pos; + for (pos = start_pos + 1; pos < stride_end_pos; ++pos) { + const uint8_t literal = input[pos & mask]; + ++bigram_prefix_histo[prev + lut[literal >> 6]]; + prev = lut[literal >> 6] * 3; + } + } + ChooseContextMap(quality, &bigram_prefix_histo[0], num_literal_contexts, + literal_context_map); + } +} + +static BROTLI_BOOL ShouldCompress( + const uint8_t* data, const size_t mask, const uint64_t last_flush_pos, + const size_t bytes, const size_t num_literals, const size_t num_commands) { + /* TODO: find more precise minimal block overhead. */ + if (bytes <= 2) return BROTLI_FALSE; + if (num_commands < (bytes >> 8) + 2) { + if ((double)num_literals > 0.99 * (double)bytes) { + uint32_t literal_histo[256] = { 0 }; + static const uint32_t kSampleRate = 13; + static const double kMinEntropy = 7.92; + const double bit_cost_threshold = + (double)bytes * kMinEntropy / kSampleRate; + size_t t = (bytes + kSampleRate - 1) / kSampleRate; + uint32_t pos = (uint32_t)last_flush_pos; + size_t i; + for (i = 0; i < t; i++) { + ++literal_histo[data[pos & mask]]; + pos += kSampleRate; + } + if (BitsEntropy(literal_histo, 256) > bit_cost_threshold) { + return BROTLI_FALSE; + } + } + } + return BROTLI_TRUE; +} + +/* Chooses the literal context mode for a metablock */ +static ContextType ChooseContextMode(const BrotliEncoderParams* params, + const uint8_t* data, const size_t pos, const size_t mask, + const size_t length) { + /* We only do the computation for the option of something else than + CONTEXT_UTF8 for the highest qualities */ + if (params->quality >= MIN_QUALITY_FOR_HQ_BLOCK_SPLITTING && + !BrotliIsMostlyUTF8(data, pos, mask, length, kMinUTF8Ratio)) { + return CONTEXT_SIGNED; + } + return CONTEXT_UTF8; +} + +static void WriteMetaBlockInternal(MemoryManager* m, + const uint8_t* data, + const size_t mask, + const uint64_t last_flush_pos, + const size_t bytes, + const BROTLI_BOOL is_last, + ContextType literal_context_mode, + const BrotliEncoderParams* params, + const uint8_t prev_byte, + const uint8_t prev_byte2, + const size_t num_literals, + const size_t num_commands, + Command* commands, + const int* saved_dist_cache, + int* dist_cache, + size_t* storage_ix, + uint8_t* storage) { + const uint32_t wrapped_last_flush_pos = WrapPosition(last_flush_pos); + uint16_t last_bytes; + uint8_t last_bytes_bits; + ContextLut literal_context_lut = BROTLI_CONTEXT_LUT(literal_context_mode); + BrotliEncoderParams block_params = *params; + + if (bytes == 0) { + /* Write the ISLAST and ISEMPTY bits. */ + BrotliWriteBits(2, 3, storage_ix, storage); + *storage_ix = (*storage_ix + 7u) & ~7u; + return; + } + + if (!ShouldCompress(data, mask, last_flush_pos, bytes, + num_literals, num_commands)) { + /* Restore the distance cache, as its last update by + CreateBackwardReferences is now unused. */ + memcpy(dist_cache, saved_dist_cache, 4 * sizeof(dist_cache[0])); + BrotliStoreUncompressedMetaBlock(is_last, data, + wrapped_last_flush_pos, mask, bytes, + storage_ix, storage); + return; + } + + BROTLI_DCHECK(*storage_ix <= 14); + last_bytes = (uint16_t)((storage[1] << 8) | storage[0]); + last_bytes_bits = (uint8_t)(*storage_ix); + if (params->quality <= MAX_QUALITY_FOR_STATIC_ENTROPY_CODES) { + BrotliStoreMetaBlockFast(m, data, wrapped_last_flush_pos, + bytes, mask, is_last, params, + commands, num_commands, + storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + } else if (params->quality < MIN_QUALITY_FOR_BLOCK_SPLIT) { + BrotliStoreMetaBlockTrivial(m, data, wrapped_last_flush_pos, + bytes, mask, is_last, params, + commands, num_commands, + storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + } else { + MetaBlockSplit mb; + InitMetaBlockSplit(&mb); + if (params->quality < MIN_QUALITY_FOR_HQ_BLOCK_SPLITTING) { + size_t num_literal_contexts = 1; + const uint32_t* literal_context_map = NULL; + if (!params->disable_literal_context_modeling) { + DecideOverLiteralContextModeling( + data, wrapped_last_flush_pos, bytes, mask, params->quality, + params->size_hint, &num_literal_contexts, + &literal_context_map); + } + BrotliBuildMetaBlockGreedy(m, data, wrapped_last_flush_pos, mask, + prev_byte, prev_byte2, literal_context_lut, num_literal_contexts, + literal_context_map, commands, num_commands, &mb); + if (BROTLI_IS_OOM(m)) return; + } else { + BrotliBuildMetaBlock(m, data, wrapped_last_flush_pos, mask, &block_params, + prev_byte, prev_byte2, + commands, num_commands, + literal_context_mode, + &mb); + if (BROTLI_IS_OOM(m)) return; + } + if (params->quality >= MIN_QUALITY_FOR_OPTIMIZE_HISTOGRAMS) { + /* The number of distance symbols effectively used for distance + histograms. It might be less than distance alphabet size + for "Large Window Brotli" (32-bit). */ + BrotliOptimizeHistograms(block_params.dist.alphabet_size_limit, &mb); + } + BrotliStoreMetaBlock(m, data, wrapped_last_flush_pos, bytes, mask, + prev_byte, prev_byte2, + is_last, + &block_params, + literal_context_mode, + commands, num_commands, + &mb, + storage_ix, storage); + if (BROTLI_IS_OOM(m)) return; + DestroyMetaBlockSplit(m, &mb); + } + if (bytes + 4 < (*storage_ix >> 3)) { + /* Restore the distance cache and last byte. */ + memcpy(dist_cache, saved_dist_cache, 4 * sizeof(dist_cache[0])); + storage[0] = (uint8_t)last_bytes; + storage[1] = (uint8_t)(last_bytes >> 8); + *storage_ix = last_bytes_bits; + BrotliStoreUncompressedMetaBlock(is_last, data, + wrapped_last_flush_pos, mask, + bytes, storage_ix, storage); + } +} + +static void ChooseDistanceParams(BrotliEncoderParams* params) { + uint32_t distance_postfix_bits = 0; + uint32_t num_direct_distance_codes = 0; + + if (params->quality >= MIN_QUALITY_FOR_NONZERO_DISTANCE_PARAMS) { + uint32_t ndirect_msb; + if (params->mode == BROTLI_MODE_FONT) { + distance_postfix_bits = 1; + num_direct_distance_codes = 12; + } else { + distance_postfix_bits = params->dist.distance_postfix_bits; + num_direct_distance_codes = params->dist.num_direct_distance_codes; + } + ndirect_msb = (num_direct_distance_codes >> distance_postfix_bits) & 0x0F; + if (distance_postfix_bits > BROTLI_MAX_NPOSTFIX || + num_direct_distance_codes > BROTLI_MAX_NDIRECT || + (ndirect_msb << distance_postfix_bits) != num_direct_distance_codes) { + distance_postfix_bits = 0; + num_direct_distance_codes = 0; + } + } + + BrotliInitDistanceParams( + params, distance_postfix_bits, num_direct_distance_codes); +} + +static BROTLI_BOOL EnsureInitialized(BrotliEncoderState* s) { + if (BROTLI_IS_OOM(&s->memory_manager_)) return BROTLI_FALSE; + if (s->is_initialized_) return BROTLI_TRUE; + + s->last_bytes_bits_ = 0; + s->last_bytes_ = 0; + s->flint_ = BROTLI_FLINT_DONE; + s->remaining_metadata_bytes_ = BROTLI_UINT32_MAX; + + SanitizeParams(&s->params); + s->params.lgblock = ComputeLgBlock(&s->params); + ChooseDistanceParams(&s->params); + + if (s->params.stream_offset != 0) { + s->flint_ = BROTLI_FLINT_NEEDS_2_BYTES; + /* Poison the distance cache. -16 +- 3 is still less than zero (invalid). */ + s->dist_cache_[0] = -16; + s->dist_cache_[1] = -16; + s->dist_cache_[2] = -16; + s->dist_cache_[3] = -16; + memcpy(s->saved_dist_cache_, s->dist_cache_, sizeof(s->saved_dist_cache_)); + } + + RingBufferSetup(&s->params, &s->ringbuffer_); + + /* Initialize last byte with stream header. */ + { + int lgwin = s->params.lgwin; + if (s->params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY || + s->params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY) { + lgwin = BROTLI_MAX(int, lgwin, 18); + } + if (s->params.stream_offset == 0) { + EncodeWindowBits(lgwin, s->params.large_window, + &s->last_bytes_, &s->last_bytes_bits_); + } else { + /* Bigger values have the same effect, but could cause overflows. */ + s->params.stream_offset = BROTLI_MIN(size_t, + s->params.stream_offset, BROTLI_MAX_BACKWARD_LIMIT(lgwin)); + } + } + + if (s->params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY) { + InitCommandPrefixCodes(s->cmd_depths_, s->cmd_bits_, + s->cmd_code_, &s->cmd_code_numbits_); + } + + s->is_initialized_ = BROTLI_TRUE; + return BROTLI_TRUE; +} + +static void BrotliEncoderInitParams(BrotliEncoderParams* params) { + params->mode = BROTLI_DEFAULT_MODE; + params->large_window = BROTLI_FALSE; + params->quality = BROTLI_DEFAULT_QUALITY; + params->lgwin = BROTLI_DEFAULT_WINDOW; + params->lgblock = 0; + params->stream_offset = 0; + params->size_hint = 0; + params->disable_literal_context_modeling = BROTLI_FALSE; + BrotliInitEncoderDictionary(¶ms->dictionary); + params->dist.distance_postfix_bits = 0; + params->dist.num_direct_distance_codes = 0; + params->dist.alphabet_size_max = + BROTLI_DISTANCE_ALPHABET_SIZE(0, 0, BROTLI_MAX_DISTANCE_BITS); + params->dist.alphabet_size_limit = params->dist.alphabet_size_max; + params->dist.max_distance = BROTLI_MAX_DISTANCE; +} + +static void BrotliEncoderInitState(BrotliEncoderState* s) { + BrotliEncoderInitParams(&s->params); + s->input_pos_ = 0; + s->num_commands_ = 0; + s->num_literals_ = 0; + s->last_insert_len_ = 0; + s->last_flush_pos_ = 0; + s->last_processed_pos_ = 0; + s->prev_byte_ = 0; + s->prev_byte2_ = 0; + s->storage_size_ = 0; + s->storage_ = 0; + HasherInit(&s->hasher_); + s->large_table_ = NULL; + s->large_table_size_ = 0; + s->cmd_code_numbits_ = 0; + s->command_buf_ = NULL; + s->literal_buf_ = NULL; + s->next_out_ = NULL; + s->available_out_ = 0; + s->total_out_ = 0; + s->stream_state_ = BROTLI_STREAM_PROCESSING; + s->is_last_block_emitted_ = BROTLI_FALSE; + s->is_initialized_ = BROTLI_FALSE; + + RingBufferInit(&s->ringbuffer_); + + s->commands_ = 0; + s->cmd_alloc_size_ = 0; + + /* Initialize distance cache. */ + s->dist_cache_[0] = 4; + s->dist_cache_[1] = 11; + s->dist_cache_[2] = 15; + s->dist_cache_[3] = 16; + /* Save the state of the distance cache in case we need to restore it for + emitting an uncompressed block. */ + memcpy(s->saved_dist_cache_, s->dist_cache_, sizeof(s->saved_dist_cache_)); +} + +BrotliEncoderState* BrotliEncoderCreateInstance( + brotli_alloc_func alloc_func, brotli_free_func free_func, void* opaque) { + BrotliEncoderState* state = 0; + if (!alloc_func && !free_func) { + state = (BrotliEncoderState*)malloc(sizeof(BrotliEncoderState)); + } else if (alloc_func && free_func) { + state = (BrotliEncoderState*)alloc_func(opaque, sizeof(BrotliEncoderState)); + } + if (state == 0) { + /* BROTLI_DUMP(); */ + return 0; + } + BrotliInitMemoryManager( + &state->memory_manager_, alloc_func, free_func, opaque); + BrotliEncoderInitState(state); + return state; +} + +static void BrotliEncoderCleanupState(BrotliEncoderState* s) { + MemoryManager* m = &s->memory_manager_; + if (BROTLI_IS_OOM(m)) { + BrotliWipeOutMemoryManager(m); + return; + } + BROTLI_FREE(m, s->storage_); + BROTLI_FREE(m, s->commands_); + RingBufferFree(m, &s->ringbuffer_); + DestroyHasher(m, &s->hasher_); + BROTLI_FREE(m, s->large_table_); + BROTLI_FREE(m, s->command_buf_); + BROTLI_FREE(m, s->literal_buf_); +} + +/* Deinitializes and frees BrotliEncoderState instance. */ +void BrotliEncoderDestroyInstance(BrotliEncoderState* state) { + if (!state) { + return; + } else { + MemoryManager* m = &state->memory_manager_; + brotli_free_func free_func = m->free_func; + void* opaque = m->opaque; + BrotliEncoderCleanupState(state); + free_func(opaque, state); + } +} + +/* + Copies the given input data to the internal ring buffer of the compressor. + No processing of the data occurs at this time and this function can be + called multiple times before calling WriteBrotliData() to process the + accumulated input. At most input_block_size() bytes of input data can be + copied to the ring buffer, otherwise the next WriteBrotliData() will fail. + */ +static void CopyInputToRingBuffer(BrotliEncoderState* s, + const size_t input_size, + const uint8_t* input_buffer) { + RingBuffer* ringbuffer_ = &s->ringbuffer_; + MemoryManager* m = &s->memory_manager_; + RingBufferWrite(m, input_buffer, input_size, ringbuffer_); + if (BROTLI_IS_OOM(m)) return; + s->input_pos_ += input_size; + + /* TL;DR: If needed, initialize 7 more bytes in the ring buffer to make the + hashing not depend on uninitialized data. This makes compression + deterministic and it prevents uninitialized memory warnings in Valgrind. + Even without erasing, the output would be valid (but nondeterministic). + + Background information: The compressor stores short (at most 8 bytes) + substrings of the input already read in a hash table, and detects + repetitions by looking up such substrings in the hash table. If it + can find a substring, it checks whether the substring is really there + in the ring buffer (or it's just a hash collision). Should the hash + table become corrupt, this check makes sure that the output is + still valid, albeit the compression ratio would be bad. + + The compressor populates the hash table from the ring buffer as it's + reading new bytes from the input. However, at the last few indexes of + the ring buffer, there are not enough bytes to build full-length + substrings from. Since the hash table always contains full-length + substrings, we erase with dummy zeros here to make sure that those + substrings will contain zeros at the end instead of uninitialized + data. + + Please note that erasing is not necessary (because the + memory region is already initialized since he ring buffer + has a `tail' that holds a copy of the beginning,) so we + skip erasing if we have already gone around at least once in + the ring buffer. + + Only clear during the first round of ring-buffer writes. On + subsequent rounds data in the ring-buffer would be affected. */ + if (ringbuffer_->pos_ <= ringbuffer_->mask_) { + /* This is the first time when the ring buffer is being written. + We clear 7 bytes just after the bytes that have been copied from + the input buffer. + + The ring-buffer has a "tail" that holds a copy of the beginning, + but only once the ring buffer has been fully written once, i.e., + pos <= mask. For the first time, we need to write values + in this tail (where index may be larger than mask), so that + we have exactly defined behavior and don't read uninitialized + memory. Due to performance reasons, hashing reads data using a + LOAD64, which can go 7 bytes beyond the bytes written in the + ring-buffer. */ + memset(ringbuffer_->buffer_ + ringbuffer_->pos_, 0, 7); + } +} + +/* Marks all input as processed. + Returns true if position wrapping occurs. */ +static BROTLI_BOOL UpdateLastProcessedPos(BrotliEncoderState* s) { + uint32_t wrapped_last_processed_pos = WrapPosition(s->last_processed_pos_); + uint32_t wrapped_input_pos = WrapPosition(s->input_pos_); + s->last_processed_pos_ = s->input_pos_; + return TO_BROTLI_BOOL(wrapped_input_pos < wrapped_last_processed_pos); +} + +static void ExtendLastCommand(BrotliEncoderState* s, uint32_t* bytes, + uint32_t* wrapped_last_processed_pos) { + Command* last_command = &s->commands_[s->num_commands_ - 1]; + const uint8_t* data = s->ringbuffer_.buffer_; + const uint32_t mask = s->ringbuffer_.mask_; + uint64_t max_backward_distance = + (((uint64_t)1) << s->params.lgwin) - BROTLI_WINDOW_GAP; + uint64_t last_copy_len = last_command->copy_len_ & 0x1FFFFFF; + uint64_t last_processed_pos = s->last_processed_pos_ - last_copy_len; + uint64_t max_distance = last_processed_pos < max_backward_distance ? + last_processed_pos : max_backward_distance; + uint64_t cmd_dist = (uint64_t)s->dist_cache_[0]; + uint32_t distance_code = CommandRestoreDistanceCode(last_command, + &s->params.dist); + if (distance_code < BROTLI_NUM_DISTANCE_SHORT_CODES || + distance_code - (BROTLI_NUM_DISTANCE_SHORT_CODES - 1) == cmd_dist) { + if (cmd_dist <= max_distance) { + while (*bytes != 0 && data[*wrapped_last_processed_pos & mask] == + data[(*wrapped_last_processed_pos - cmd_dist) & mask]) { + last_command->copy_len_++; + (*bytes)--; + (*wrapped_last_processed_pos)++; + } + } else { + } + /* The copy length is at most the metablock size, and thus expressible. */ + GetLengthCode(last_command->insert_len_, + (size_t)((int)(last_command->copy_len_ & 0x1FFFFFF) + + (int)(last_command->copy_len_ >> 25)), + TO_BROTLI_BOOL((last_command->dist_prefix_ & 0x3FF) == 0), + &last_command->cmd_prefix_); + } +} + +/* + Processes the accumulated input data and sets |*out_size| to the length of + the new output meta-block, or to zero if no new output meta-block has been + created (in this case the processed input data is buffered internally). + If |*out_size| is positive, |*output| points to the start of the output + data. If |is_last| or |force_flush| is BROTLI_TRUE, an output meta-block is + always created. However, until |is_last| is BROTLI_TRUE encoder may retain up + to 7 bits of the last byte of output. To force encoder to dump the remaining + bits use WriteMetadata() to append an empty meta-data block. + Returns BROTLI_FALSE if the size of the input data is larger than + input_block_size(). + */ +static BROTLI_BOOL EncodeData( + BrotliEncoderState* s, const BROTLI_BOOL is_last, + const BROTLI_BOOL force_flush, size_t* out_size, uint8_t** output) { + const uint64_t delta = UnprocessedInputSize(s); + uint32_t bytes = (uint32_t)delta; + uint32_t wrapped_last_processed_pos = WrapPosition(s->last_processed_pos_); + uint8_t* data; + uint32_t mask; + MemoryManager* m = &s->memory_manager_; + ContextType literal_context_mode; + ContextLut literal_context_lut; + + data = s->ringbuffer_.buffer_; + mask = s->ringbuffer_.mask_; + + /* Adding more blocks after "last" block is forbidden. */ + if (s->is_last_block_emitted_) return BROTLI_FALSE; + if (is_last) s->is_last_block_emitted_ = BROTLI_TRUE; + + if (delta > InputBlockSize(s)) { + return BROTLI_FALSE; + } + if (s->params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY && + !s->command_buf_) { + s->command_buf_ = + BROTLI_ALLOC(m, uint32_t, kCompressFragmentTwoPassBlockSize); + s->literal_buf_ = + BROTLI_ALLOC(m, uint8_t, kCompressFragmentTwoPassBlockSize); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(s->command_buf_) || + BROTLI_IS_NULL(s->literal_buf_)) { + return BROTLI_FALSE; + } + } + + if (s->params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY || + s->params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY) { + uint8_t* storage; + size_t storage_ix = s->last_bytes_bits_; + size_t table_size; + int* table; + + if (delta == 0 && !is_last) { + /* We have no new input data and we don't have to finish the stream, so + nothing to do. */ + *out_size = 0; + return BROTLI_TRUE; + } + storage = GetBrotliStorage(s, 2 * bytes + 503); + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + storage[0] = (uint8_t)s->last_bytes_; + storage[1] = (uint8_t)(s->last_bytes_ >> 8); + table = GetHashTable(s, s->params.quality, bytes, &table_size); + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + if (s->params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY) { + BrotliCompressFragmentFast( + m, &data[wrapped_last_processed_pos & mask], + bytes, is_last, + table, table_size, + s->cmd_depths_, s->cmd_bits_, + &s->cmd_code_numbits_, s->cmd_code_, + &storage_ix, storage); + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + } else { + BrotliCompressFragmentTwoPass( + m, &data[wrapped_last_processed_pos & mask], + bytes, is_last, + s->command_buf_, s->literal_buf_, + table, table_size, + &storage_ix, storage); + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + } + s->last_bytes_ = (uint16_t)(storage[storage_ix >> 3]); + s->last_bytes_bits_ = storage_ix & 7u; + UpdateLastProcessedPos(s); + *output = &storage[0]; + *out_size = storage_ix >> 3; + return BROTLI_TRUE; + } + + { + /* Theoretical max number of commands is 1 per 2 bytes. */ + size_t newsize = s->num_commands_ + bytes / 2 + 1; + if (newsize > s->cmd_alloc_size_) { + Command* new_commands; + /* Reserve a bit more memory to allow merging with a next block + without reallocation: that would impact speed. */ + newsize += (bytes / 4) + 16; + s->cmd_alloc_size_ = newsize; + new_commands = BROTLI_ALLOC(m, Command, newsize); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(new_commands)) return BROTLI_FALSE; + if (s->commands_) { + memcpy(new_commands, s->commands_, sizeof(Command) * s->num_commands_); + BROTLI_FREE(m, s->commands_); + } + s->commands_ = new_commands; + } + } + + InitOrStitchToPreviousBlock(m, &s->hasher_, data, mask, &s->params, + wrapped_last_processed_pos, bytes, is_last); + + literal_context_mode = ChooseContextMode( + &s->params, data, WrapPosition(s->last_flush_pos_), + mask, (size_t)(s->input_pos_ - s->last_flush_pos_)); + literal_context_lut = BROTLI_CONTEXT_LUT(literal_context_mode); + + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + + if (s->num_commands_ && s->last_insert_len_ == 0) { + ExtendLastCommand(s, &bytes, &wrapped_last_processed_pos); + } + + if (s->params.quality == ZOPFLIFICATION_QUALITY) { + BROTLI_DCHECK(s->params.hasher.type == 10); + BrotliCreateZopfliBackwardReferences(m, bytes, wrapped_last_processed_pos, + data, mask, literal_context_lut, &s->params, + &s->hasher_, s->dist_cache_, + &s->last_insert_len_, &s->commands_[s->num_commands_], + &s->num_commands_, &s->num_literals_); + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + } else if (s->params.quality == HQ_ZOPFLIFICATION_QUALITY) { + BROTLI_DCHECK(s->params.hasher.type == 10); + BrotliCreateHqZopfliBackwardReferences(m, bytes, wrapped_last_processed_pos, + data, mask, literal_context_lut, &s->params, + &s->hasher_, s->dist_cache_, + &s->last_insert_len_, &s->commands_[s->num_commands_], + &s->num_commands_, &s->num_literals_); + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + } else { + BrotliCreateBackwardReferences(bytes, wrapped_last_processed_pos, + data, mask, literal_context_lut, &s->params, + &s->hasher_, s->dist_cache_, + &s->last_insert_len_, &s->commands_[s->num_commands_], + &s->num_commands_, &s->num_literals_); + } + + { + const size_t max_length = MaxMetablockSize(&s->params); + const size_t max_literals = max_length / 8; + const size_t max_commands = max_length / 8; + const size_t processed_bytes = (size_t)(s->input_pos_ - s->last_flush_pos_); + /* If maximal possible additional block doesn't fit metablock, flush now. */ + /* TODO: Postpone decision until next block arrives? */ + const BROTLI_BOOL next_input_fits_metablock = TO_BROTLI_BOOL( + processed_bytes + InputBlockSize(s) <= max_length); + /* If block splitting is not used, then flush as soon as there is some + amount of commands / literals produced. */ + const BROTLI_BOOL should_flush = TO_BROTLI_BOOL( + s->params.quality < MIN_QUALITY_FOR_BLOCK_SPLIT && + s->num_literals_ + s->num_commands_ >= MAX_NUM_DELAYED_SYMBOLS); + if (!is_last && !force_flush && !should_flush && + next_input_fits_metablock && + s->num_literals_ < max_literals && + s->num_commands_ < max_commands) { + /* Merge with next input block. Everything will happen later. */ + if (UpdateLastProcessedPos(s)) { + HasherReset(&s->hasher_); + } + *out_size = 0; + return BROTLI_TRUE; + } + } + + /* Create the last insert-only command. */ + if (s->last_insert_len_ > 0) { + InitInsertCommand(&s->commands_[s->num_commands_++], s->last_insert_len_); + s->num_literals_ += s->last_insert_len_; + s->last_insert_len_ = 0; + } + + if (!is_last && s->input_pos_ == s->last_flush_pos_) { + /* We have no new input data and we don't have to finish the stream, so + nothing to do. */ + *out_size = 0; + return BROTLI_TRUE; + } + BROTLI_DCHECK(s->input_pos_ >= s->last_flush_pos_); + BROTLI_DCHECK(s->input_pos_ > s->last_flush_pos_ || is_last); + BROTLI_DCHECK(s->input_pos_ - s->last_flush_pos_ <= 1u << 24); + { + const uint32_t metablock_size = + (uint32_t)(s->input_pos_ - s->last_flush_pos_); + uint8_t* storage = GetBrotliStorage(s, 2 * metablock_size + 503); + size_t storage_ix = s->last_bytes_bits_; + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + storage[0] = (uint8_t)s->last_bytes_; + storage[1] = (uint8_t)(s->last_bytes_ >> 8); + WriteMetaBlockInternal( + m, data, mask, s->last_flush_pos_, metablock_size, is_last, + literal_context_mode, &s->params, s->prev_byte_, s->prev_byte2_, + s->num_literals_, s->num_commands_, s->commands_, s->saved_dist_cache_, + s->dist_cache_, &storage_ix, storage); + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + s->last_bytes_ = (uint16_t)(storage[storage_ix >> 3]); + s->last_bytes_bits_ = storage_ix & 7u; + s->last_flush_pos_ = s->input_pos_; + if (UpdateLastProcessedPos(s)) { + HasherReset(&s->hasher_); + } + if (s->last_flush_pos_ > 0) { + s->prev_byte_ = data[((uint32_t)s->last_flush_pos_ - 1) & mask]; + } + if (s->last_flush_pos_ > 1) { + s->prev_byte2_ = data[(uint32_t)(s->last_flush_pos_ - 2) & mask]; + } + s->num_commands_ = 0; + s->num_literals_ = 0; + /* Save the state of the distance cache in case we need to restore it for + emitting an uncompressed block. */ + memcpy(s->saved_dist_cache_, s->dist_cache_, sizeof(s->saved_dist_cache_)); + *output = &storage[0]; + *out_size = storage_ix >> 3; + return BROTLI_TRUE; + } +} + +/* Dumps remaining output bits and metadata header to |header|. + Returns number of produced bytes. + REQUIRED: |header| should be 8-byte aligned and at least 16 bytes long. + REQUIRED: |block_size| <= (1 << 24). */ +static size_t WriteMetadataHeader( + BrotliEncoderState* s, const size_t block_size, uint8_t* header) { + size_t storage_ix; + storage_ix = s->last_bytes_bits_; + header[0] = (uint8_t)s->last_bytes_; + header[1] = (uint8_t)(s->last_bytes_ >> 8); + s->last_bytes_ = 0; + s->last_bytes_bits_ = 0; + + BrotliWriteBits(1, 0, &storage_ix, header); + BrotliWriteBits(2, 3, &storage_ix, header); + BrotliWriteBits(1, 0, &storage_ix, header); + if (block_size == 0) { + BrotliWriteBits(2, 0, &storage_ix, header); + } else { + uint32_t nbits = (block_size == 1) ? 0 : + (Log2FloorNonZero((uint32_t)block_size - 1) + 1); + uint32_t nbytes = (nbits + 7) / 8; + BrotliWriteBits(2, nbytes, &storage_ix, header); + BrotliWriteBits(8 * nbytes, block_size - 1, &storage_ix, header); + } + return (storage_ix + 7u) >> 3; +} + +static BROTLI_BOOL BrotliCompressBufferQuality10( + int lgwin, size_t input_size, const uint8_t* input_buffer, + size_t* encoded_size, uint8_t* encoded_buffer) { + MemoryManager memory_manager; + MemoryManager* m = &memory_manager; + + const size_t mask = BROTLI_SIZE_MAX >> 1; + int dist_cache[4] = { 4, 11, 15, 16 }; + int saved_dist_cache[4] = { 4, 11, 15, 16 }; + BROTLI_BOOL ok = BROTLI_TRUE; + const size_t max_out_size = *encoded_size; + size_t total_out_size = 0; + uint16_t last_bytes; + uint8_t last_bytes_bits; + + const size_t hasher_eff_size = BROTLI_MIN(size_t, + input_size, BROTLI_MAX_BACKWARD_LIMIT(lgwin) + BROTLI_WINDOW_GAP); + + BrotliEncoderParams params; + + const int lgmetablock = BROTLI_MIN(int, 24, lgwin + 1); + size_t max_block_size; + const size_t max_metablock_size = (size_t)1 << lgmetablock; + const size_t max_literals_per_metablock = max_metablock_size / 8; + const size_t max_commands_per_metablock = max_metablock_size / 8; + size_t metablock_start = 0; + uint8_t prev_byte = 0; + uint8_t prev_byte2 = 0; + + Hasher hasher; + HasherInit(&hasher); + + BrotliEncoderInitParams(¶ms); + params.quality = 10; + params.lgwin = lgwin; + if (lgwin > BROTLI_MAX_WINDOW_BITS) { + params.large_window = BROTLI_TRUE; + } + SanitizeParams(¶ms); + params.lgblock = ComputeLgBlock(¶ms); + ChooseDistanceParams(¶ms); + max_block_size = (size_t)1 << params.lgblock; + + BrotliInitMemoryManager(m, 0, 0, 0); + + BROTLI_DCHECK(input_size <= mask + 1); + EncodeWindowBits(lgwin, params.large_window, &last_bytes, &last_bytes_bits); + InitOrStitchToPreviousBlock(m, &hasher, input_buffer, mask, ¶ms, + 0, hasher_eff_size, BROTLI_TRUE); + if (BROTLI_IS_OOM(m)) goto oom; + + while (ok && metablock_start < input_size) { + const size_t metablock_end = + BROTLI_MIN(size_t, input_size, metablock_start + max_metablock_size); + const size_t expected_num_commands = + (metablock_end - metablock_start) / 12 + 16; + Command* commands = 0; + size_t num_commands = 0; + size_t last_insert_len = 0; + size_t num_literals = 0; + size_t metablock_size = 0; + size_t cmd_alloc_size = 0; + BROTLI_BOOL is_last; + uint8_t* storage; + size_t storage_ix; + + ContextType literal_context_mode = ChooseContextMode(¶ms, + input_buffer, metablock_start, mask, metablock_end - metablock_start); + ContextLut literal_context_lut = BROTLI_CONTEXT_LUT(literal_context_mode); + + size_t block_start; + for (block_start = metablock_start; block_start < metablock_end; ) { + size_t block_size = + BROTLI_MIN(size_t, metablock_end - block_start, max_block_size); + ZopfliNode* nodes = BROTLI_ALLOC(m, ZopfliNode, block_size + 1); + size_t path_size; + size_t new_cmd_alloc_size; + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(nodes)) goto oom; + BrotliInitZopfliNodes(nodes, block_size + 1); + StitchToPreviousBlockH10(&hasher.privat._H10, block_size, block_start, + input_buffer, mask); + path_size = BrotliZopfliComputeShortestPath(m, block_size, block_start, + input_buffer, mask, literal_context_lut, ¶ms, dist_cache, &hasher, + nodes); + if (BROTLI_IS_OOM(m)) goto oom; + /* We allocate a command buffer in the first iteration of this loop that + will be likely big enough for the whole metablock, so that for most + inputs we will not have to reallocate in later iterations. We do the + allocation here and not before the loop, because if the input is small, + this will be allocated after the Zopfli cost model is freed, so this + will not increase peak memory usage. + TODO: If the first allocation is too small, increase command + buffer size exponentially. */ + new_cmd_alloc_size = BROTLI_MAX(size_t, expected_num_commands, + num_commands + path_size + 1); + if (cmd_alloc_size != new_cmd_alloc_size) { + Command* new_commands = BROTLI_ALLOC(m, Command, new_cmd_alloc_size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(new_commands)) goto oom; + cmd_alloc_size = new_cmd_alloc_size; + if (commands) { + memcpy(new_commands, commands, sizeof(Command) * num_commands); + BROTLI_FREE(m, commands); + } + commands = new_commands; + } + BrotliZopfliCreateCommands(block_size, block_start, &nodes[0], dist_cache, + &last_insert_len, ¶ms, &commands[num_commands], &num_literals); + num_commands += path_size; + block_start += block_size; + metablock_size += block_size; + BROTLI_FREE(m, nodes); + if (num_literals > max_literals_per_metablock || + num_commands > max_commands_per_metablock) { + break; + } + } + + if (last_insert_len > 0) { + InitInsertCommand(&commands[num_commands++], last_insert_len); + num_literals += last_insert_len; + } + + is_last = TO_BROTLI_BOOL(metablock_start + metablock_size == input_size); + storage = NULL; + storage_ix = last_bytes_bits; + + if (metablock_size == 0) { + /* Write the ISLAST and ISEMPTY bits. */ + storage = BROTLI_ALLOC(m, uint8_t, 16); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(storage)) goto oom; + storage[0] = (uint8_t)last_bytes; + storage[1] = (uint8_t)(last_bytes >> 8); + BrotliWriteBits(2, 3, &storage_ix, storage); + storage_ix = (storage_ix + 7u) & ~7u; + } else if (!ShouldCompress(input_buffer, mask, metablock_start, + metablock_size, num_literals, num_commands)) { + /* Restore the distance cache, as its last update by + CreateBackwardReferences is now unused. */ + memcpy(dist_cache, saved_dist_cache, 4 * sizeof(dist_cache[0])); + storage = BROTLI_ALLOC(m, uint8_t, metablock_size + 16); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(storage)) goto oom; + storage[0] = (uint8_t)last_bytes; + storage[1] = (uint8_t)(last_bytes >> 8); + BrotliStoreUncompressedMetaBlock(is_last, input_buffer, + metablock_start, mask, metablock_size, + &storage_ix, storage); + } else { + MetaBlockSplit mb; + BrotliEncoderParams block_params = params; + InitMetaBlockSplit(&mb); + BrotliBuildMetaBlock(m, input_buffer, metablock_start, mask, + &block_params, + prev_byte, prev_byte2, + commands, num_commands, + literal_context_mode, + &mb); + if (BROTLI_IS_OOM(m)) goto oom; + { + /* The number of distance symbols effectively used for distance + histograms. It might be less than distance alphabet size + for "Large Window Brotli" (32-bit). */ + BrotliOptimizeHistograms(block_params.dist.alphabet_size_limit, &mb); + } + storage = BROTLI_ALLOC(m, uint8_t, 2 * metablock_size + 503); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(storage)) goto oom; + storage[0] = (uint8_t)last_bytes; + storage[1] = (uint8_t)(last_bytes >> 8); + BrotliStoreMetaBlock(m, input_buffer, metablock_start, metablock_size, + mask, prev_byte, prev_byte2, + is_last, + &block_params, + literal_context_mode, + commands, num_commands, + &mb, + &storage_ix, storage); + if (BROTLI_IS_OOM(m)) goto oom; + if (metablock_size + 4 < (storage_ix >> 3)) { + /* Restore the distance cache and last byte. */ + memcpy(dist_cache, saved_dist_cache, 4 * sizeof(dist_cache[0])); + storage[0] = (uint8_t)last_bytes; + storage[1] = (uint8_t)(last_bytes >> 8); + storage_ix = last_bytes_bits; + BrotliStoreUncompressedMetaBlock(is_last, input_buffer, + metablock_start, mask, + metablock_size, &storage_ix, storage); + } + DestroyMetaBlockSplit(m, &mb); + } + last_bytes = (uint16_t)(storage[storage_ix >> 3]); + last_bytes_bits = storage_ix & 7u; + metablock_start += metablock_size; + if (metablock_start < input_size) { + prev_byte = input_buffer[metablock_start - 1]; + prev_byte2 = input_buffer[metablock_start - 2]; + } + /* Save the state of the distance cache in case we need to restore it for + emitting an uncompressed block. */ + memcpy(saved_dist_cache, dist_cache, 4 * sizeof(dist_cache[0])); + + { + const size_t out_size = storage_ix >> 3; + total_out_size += out_size; + if (total_out_size <= max_out_size) { + memcpy(encoded_buffer, storage, out_size); + encoded_buffer += out_size; + } else { + ok = BROTLI_FALSE; + } + } + BROTLI_FREE(m, storage); + BROTLI_FREE(m, commands); + } + + *encoded_size = total_out_size; + DestroyHasher(m, &hasher); + return ok; + +oom: + BrotliWipeOutMemoryManager(m); + return BROTLI_FALSE; +} + +size_t BrotliEncoderMaxCompressedSize(size_t input_size) { + /* [window bits / empty metadata] + N * [uncompressed] + [last empty] */ + size_t num_large_blocks = input_size >> 14; + size_t overhead = 2 + (4 * num_large_blocks) + 3 + 1; + size_t result = input_size + overhead; + if (input_size == 0) return 2; + return (result < input_size) ? 0 : result; +} + +/* Wraps data to uncompressed brotli stream with minimal window size. + |output| should point at region with at least BrotliEncoderMaxCompressedSize + addressable bytes. + Returns the length of stream. */ +static size_t MakeUncompressedStream( + const uint8_t* input, size_t input_size, uint8_t* output) { + size_t size = input_size; + size_t result = 0; + size_t offset = 0; + if (input_size == 0) { + output[0] = 6; + return 1; + } + output[result++] = 0x21; /* window bits = 10, is_last = false */ + output[result++] = 0x03; /* empty metadata, padding */ + while (size > 0) { + uint32_t nibbles = 0; + uint32_t chunk_size; + uint32_t bits; + chunk_size = (size > (1u << 24)) ? (1u << 24) : (uint32_t)size; + if (chunk_size > (1u << 16)) nibbles = (chunk_size > (1u << 20)) ? 2 : 1; + bits = + (nibbles << 1) | ((chunk_size - 1) << 3) | (1u << (19 + 4 * nibbles)); + output[result++] = (uint8_t)bits; + output[result++] = (uint8_t)(bits >> 8); + output[result++] = (uint8_t)(bits >> 16); + if (nibbles == 2) output[result++] = (uint8_t)(bits >> 24); + memcpy(&output[result], &input[offset], chunk_size); + result += chunk_size; + offset += chunk_size; + size -= chunk_size; + } + output[result++] = 3; + return result; +} + +BROTLI_BOOL BrotliEncoderCompress( + int quality, int lgwin, BrotliEncoderMode mode, size_t input_size, + const uint8_t* input_buffer, size_t* encoded_size, + uint8_t* encoded_buffer) { + BrotliEncoderState* s; + size_t out_size = *encoded_size; + const uint8_t* input_start = input_buffer; + uint8_t* output_start = encoded_buffer; + size_t max_out_size = BrotliEncoderMaxCompressedSize(input_size); + if (out_size == 0) { + /* Output buffer needs at least one byte. */ + return BROTLI_FALSE; + } + if (input_size == 0) { + /* Handle the special case of empty input. */ + *encoded_size = 1; + *encoded_buffer = 6; + return BROTLI_TRUE; + } + if (quality == 10) { + /* TODO: Implement this direct path for all quality levels. */ + const int lg_win = BROTLI_MIN(int, BROTLI_LARGE_MAX_WINDOW_BITS, + BROTLI_MAX(int, 16, lgwin)); + int ok = BrotliCompressBufferQuality10(lg_win, input_size, input_buffer, + encoded_size, encoded_buffer); + if (!ok || (max_out_size && *encoded_size > max_out_size)) { + goto fallback; + } + return BROTLI_TRUE; + } + + s = BrotliEncoderCreateInstance(0, 0, 0); + if (!s) { + return BROTLI_FALSE; + } else { + size_t available_in = input_size; + const uint8_t* next_in = input_buffer; + size_t available_out = *encoded_size; + uint8_t* next_out = encoded_buffer; + size_t total_out = 0; + BROTLI_BOOL result = BROTLI_FALSE; + BrotliEncoderSetParameter(s, BROTLI_PARAM_QUALITY, (uint32_t)quality); + BrotliEncoderSetParameter(s, BROTLI_PARAM_LGWIN, (uint32_t)lgwin); + BrotliEncoderSetParameter(s, BROTLI_PARAM_MODE, (uint32_t)mode); + BrotliEncoderSetParameter(s, BROTLI_PARAM_SIZE_HINT, (uint32_t)input_size); + if (lgwin > BROTLI_MAX_WINDOW_BITS) { + BrotliEncoderSetParameter(s, BROTLI_PARAM_LARGE_WINDOW, BROTLI_TRUE); + } + result = BrotliEncoderCompressStream(s, BROTLI_OPERATION_FINISH, + &available_in, &next_in, &available_out, &next_out, &total_out); + if (!BrotliEncoderIsFinished(s)) result = 0; + *encoded_size = total_out; + BrotliEncoderDestroyInstance(s); + if (!result || (max_out_size && *encoded_size > max_out_size)) { + goto fallback; + } + return BROTLI_TRUE; + } +fallback: + *encoded_size = 0; + if (!max_out_size) return BROTLI_FALSE; + if (out_size >= max_out_size) { + *encoded_size = + MakeUncompressedStream(input_start, input_size, output_start); + return BROTLI_TRUE; + } + return BROTLI_FALSE; +} + +static void InjectBytePaddingBlock(BrotliEncoderState* s) { + uint32_t seal = s->last_bytes_; + size_t seal_bits = s->last_bytes_bits_; + uint8_t* destination; + s->last_bytes_ = 0; + s->last_bytes_bits_ = 0; + /* is_last = 0, data_nibbles = 11, reserved = 0, meta_nibbles = 00 */ + seal |= 0x6u << seal_bits; + seal_bits += 6; + /* If we have already created storage, then append to it. + Storage is valid until next block is being compressed. */ + if (s->next_out_) { + destination = s->next_out_ + s->available_out_; + } else { + destination = s->tiny_buf_.u8; + s->next_out_ = destination; + } + destination[0] = (uint8_t)seal; + if (seal_bits > 8) destination[1] = (uint8_t)(seal >> 8); + if (seal_bits > 16) destination[2] = (uint8_t)(seal >> 16); + s->available_out_ += (seal_bits + 7) >> 3; +} + +/* Injects padding bits or pushes compressed data to output. + Returns false if nothing is done. */ +static BROTLI_BOOL InjectFlushOrPushOutput(BrotliEncoderState* s, + size_t* available_out, uint8_t** next_out, size_t* total_out) { + if (s->stream_state_ == BROTLI_STREAM_FLUSH_REQUESTED && + s->last_bytes_bits_ != 0) { + InjectBytePaddingBlock(s); + return BROTLI_TRUE; + } + + if (s->available_out_ != 0 && *available_out != 0) { + size_t copy_output_size = + BROTLI_MIN(size_t, s->available_out_, *available_out); + memcpy(*next_out, s->next_out_, copy_output_size); + *next_out += copy_output_size; + *available_out -= copy_output_size; + s->next_out_ += copy_output_size; + s->available_out_ -= copy_output_size; + s->total_out_ += copy_output_size; + if (total_out) *total_out = s->total_out_; + return BROTLI_TRUE; + } + + return BROTLI_FALSE; +} + +static void CheckFlushComplete(BrotliEncoderState* s) { + if (s->stream_state_ == BROTLI_STREAM_FLUSH_REQUESTED && + s->available_out_ == 0) { + s->stream_state_ = BROTLI_STREAM_PROCESSING; + s->next_out_ = 0; + } +} + +static BROTLI_BOOL BrotliEncoderCompressStreamFast( + BrotliEncoderState* s, BrotliEncoderOperation op, size_t* available_in, + const uint8_t** next_in, size_t* available_out, uint8_t** next_out, + size_t* total_out) { + const size_t block_size_limit = (size_t)1 << s->params.lgwin; + const size_t buf_size = BROTLI_MIN(size_t, kCompressFragmentTwoPassBlockSize, + BROTLI_MIN(size_t, *available_in, block_size_limit)); + uint32_t* tmp_command_buf = NULL; + uint32_t* command_buf = NULL; + uint8_t* tmp_literal_buf = NULL; + uint8_t* literal_buf = NULL; + MemoryManager* m = &s->memory_manager_; + if (s->params.quality != FAST_ONE_PASS_COMPRESSION_QUALITY && + s->params.quality != FAST_TWO_PASS_COMPRESSION_QUALITY) { + return BROTLI_FALSE; + } + if (s->params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY) { + if (!s->command_buf_ && buf_size == kCompressFragmentTwoPassBlockSize) { + s->command_buf_ = + BROTLI_ALLOC(m, uint32_t, kCompressFragmentTwoPassBlockSize); + s->literal_buf_ = + BROTLI_ALLOC(m, uint8_t, kCompressFragmentTwoPassBlockSize); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(s->command_buf_) || + BROTLI_IS_NULL(s->literal_buf_)) { + return BROTLI_FALSE; + } + } + if (s->command_buf_) { + command_buf = s->command_buf_; + literal_buf = s->literal_buf_; + } else { + tmp_command_buf = BROTLI_ALLOC(m, uint32_t, buf_size); + tmp_literal_buf = BROTLI_ALLOC(m, uint8_t, buf_size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(tmp_command_buf) || + BROTLI_IS_NULL(tmp_literal_buf)) { + return BROTLI_FALSE; + } + command_buf = tmp_command_buf; + literal_buf = tmp_literal_buf; + } + } + + while (BROTLI_TRUE) { + if (InjectFlushOrPushOutput(s, available_out, next_out, total_out)) { + continue; + } + + /* Compress block only when internal output buffer is empty, stream is not + finished, there is no pending flush request, and there is either + additional input or pending operation. */ + if (s->available_out_ == 0 && + s->stream_state_ == BROTLI_STREAM_PROCESSING && + (*available_in != 0 || op != BROTLI_OPERATION_PROCESS)) { + size_t block_size = BROTLI_MIN(size_t, block_size_limit, *available_in); + BROTLI_BOOL is_last = + (*available_in == block_size) && (op == BROTLI_OPERATION_FINISH); + BROTLI_BOOL force_flush = + (*available_in == block_size) && (op == BROTLI_OPERATION_FLUSH); + size_t max_out_size = 2 * block_size + 503; + BROTLI_BOOL inplace = BROTLI_TRUE; + uint8_t* storage = NULL; + size_t storage_ix = s->last_bytes_bits_; + size_t table_size; + int* table; + + if (force_flush && block_size == 0) { + s->stream_state_ = BROTLI_STREAM_FLUSH_REQUESTED; + continue; + } + if (max_out_size <= *available_out) { + storage = *next_out; + } else { + inplace = BROTLI_FALSE; + storage = GetBrotliStorage(s, max_out_size); + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + } + storage[0] = (uint8_t)s->last_bytes_; + storage[1] = (uint8_t)(s->last_bytes_ >> 8); + table = GetHashTable(s, s->params.quality, block_size, &table_size); + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + + if (s->params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY) { + BrotliCompressFragmentFast(m, *next_in, block_size, is_last, table, + table_size, s->cmd_depths_, s->cmd_bits_, &s->cmd_code_numbits_, + s->cmd_code_, &storage_ix, storage); + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + } else { + BrotliCompressFragmentTwoPass(m, *next_in, block_size, is_last, + command_buf, literal_buf, table, table_size, + &storage_ix, storage); + if (BROTLI_IS_OOM(m)) return BROTLI_FALSE; + } + if (block_size != 0) { + *next_in += block_size; + *available_in -= block_size; + } + if (inplace) { + size_t out_bytes = storage_ix >> 3; + BROTLI_DCHECK(out_bytes <= *available_out); + BROTLI_DCHECK((storage_ix & 7) == 0 || out_bytes < *available_out); + *next_out += out_bytes; + *available_out -= out_bytes; + s->total_out_ += out_bytes; + if (total_out) *total_out = s->total_out_; + } else { + size_t out_bytes = storage_ix >> 3; + s->next_out_ = storage; + s->available_out_ = out_bytes; + } + s->last_bytes_ = (uint16_t)(storage[storage_ix >> 3]); + s->last_bytes_bits_ = storage_ix & 7u; + + if (force_flush) s->stream_state_ = BROTLI_STREAM_FLUSH_REQUESTED; + if (is_last) s->stream_state_ = BROTLI_STREAM_FINISHED; + continue; + } + break; + } + BROTLI_FREE(m, tmp_command_buf); + BROTLI_FREE(m, tmp_literal_buf); + CheckFlushComplete(s); + return BROTLI_TRUE; +} + +static BROTLI_BOOL ProcessMetadata( + BrotliEncoderState* s, size_t* available_in, const uint8_t** next_in, + size_t* available_out, uint8_t** next_out, size_t* total_out) { + if (*available_in > (1u << 24)) return BROTLI_FALSE; + /* Switch to metadata block workflow, if required. */ + if (s->stream_state_ == BROTLI_STREAM_PROCESSING) { + s->remaining_metadata_bytes_ = (uint32_t)*available_in; + s->stream_state_ = BROTLI_STREAM_METADATA_HEAD; + } + if (s->stream_state_ != BROTLI_STREAM_METADATA_HEAD && + s->stream_state_ != BROTLI_STREAM_METADATA_BODY) { + return BROTLI_FALSE; + } + + while (BROTLI_TRUE) { + if (InjectFlushOrPushOutput(s, available_out, next_out, total_out)) { + continue; + } + if (s->available_out_ != 0) break; + + if (s->input_pos_ != s->last_flush_pos_) { + BROTLI_BOOL result = EncodeData(s, BROTLI_FALSE, BROTLI_TRUE, + &s->available_out_, &s->next_out_); + if (!result) return BROTLI_FALSE; + continue; + } + + if (s->stream_state_ == BROTLI_STREAM_METADATA_HEAD) { + s->next_out_ = s->tiny_buf_.u8; + s->available_out_ = + WriteMetadataHeader(s, s->remaining_metadata_bytes_, s->next_out_); + s->stream_state_ = BROTLI_STREAM_METADATA_BODY; + continue; + } else { + /* Exit workflow only when there is no more input and no more output. + Otherwise client may continue producing empty metadata blocks. */ + if (s->remaining_metadata_bytes_ == 0) { + s->remaining_metadata_bytes_ = BROTLI_UINT32_MAX; + s->stream_state_ = BROTLI_STREAM_PROCESSING; + break; + } + if (*available_out) { + /* Directly copy input to output. */ + uint32_t copy = (uint32_t)BROTLI_MIN( + size_t, s->remaining_metadata_bytes_, *available_out); + memcpy(*next_out, *next_in, copy); + *next_in += copy; + *available_in -= copy; + s->remaining_metadata_bytes_ -= copy; + *next_out += copy; + *available_out -= copy; + } else { + /* This guarantees progress in "TakeOutput" workflow. */ + uint32_t copy = BROTLI_MIN(uint32_t, s->remaining_metadata_bytes_, 16); + s->next_out_ = s->tiny_buf_.u8; + memcpy(s->next_out_, *next_in, copy); + *next_in += copy; + *available_in -= copy; + s->remaining_metadata_bytes_ -= copy; + s->available_out_ = copy; + } + continue; + } + } + + return BROTLI_TRUE; +} + +static void UpdateSizeHint(BrotliEncoderState* s, size_t available_in) { + if (s->params.size_hint == 0) { + uint64_t delta = UnprocessedInputSize(s); + uint64_t tail = available_in; + uint32_t limit = 1u << 30; + uint32_t total; + if ((delta >= limit) || (tail >= limit) || ((delta + tail) >= limit)) { + total = limit; + } else { + total = (uint32_t)(delta + tail); + } + s->params.size_hint = total; + } +} + +BROTLI_BOOL BrotliEncoderCompressStream( + BrotliEncoderState* s, BrotliEncoderOperation op, size_t* available_in, + const uint8_t** next_in, size_t* available_out,uint8_t** next_out, + size_t* total_out) { + if (!EnsureInitialized(s)) return BROTLI_FALSE; + + /* Unfinished metadata block; check requirements. */ + if (s->remaining_metadata_bytes_ != BROTLI_UINT32_MAX) { + if (*available_in != s->remaining_metadata_bytes_) return BROTLI_FALSE; + if (op != BROTLI_OPERATION_EMIT_METADATA) return BROTLI_FALSE; + } + + if (op == BROTLI_OPERATION_EMIT_METADATA) { + UpdateSizeHint(s, 0); /* First data metablock might be emitted here. */ + return ProcessMetadata( + s, available_in, next_in, available_out, next_out, total_out); + } + + if (s->stream_state_ == BROTLI_STREAM_METADATA_HEAD || + s->stream_state_ == BROTLI_STREAM_METADATA_BODY) { + return BROTLI_FALSE; + } + + if (s->stream_state_ != BROTLI_STREAM_PROCESSING && *available_in != 0) { + return BROTLI_FALSE; + } + if (s->params.quality == FAST_ONE_PASS_COMPRESSION_QUALITY || + s->params.quality == FAST_TWO_PASS_COMPRESSION_QUALITY) { + return BrotliEncoderCompressStreamFast(s, op, available_in, next_in, + available_out, next_out, total_out); + } + while (BROTLI_TRUE) { + size_t remaining_block_size = RemainingInputBlockSize(s); + /* Shorten input to flint size. */ + if (s->flint_ >= 0 && remaining_block_size > (size_t)s->flint_) { + remaining_block_size = (size_t)s->flint_; + } + + if (remaining_block_size != 0 && *available_in != 0) { + size_t copy_input_size = + BROTLI_MIN(size_t, remaining_block_size, *available_in); + CopyInputToRingBuffer(s, copy_input_size, *next_in); + *next_in += copy_input_size; + *available_in -= copy_input_size; + if (s->flint_ > 0) s->flint_ = (int8_t)(s->flint_ - (int)copy_input_size); + continue; + } + + if (InjectFlushOrPushOutput(s, available_out, next_out, total_out)) { + /* Exit the "emit flint" workflow. */ + if (s->flint_ == BROTLI_FLINT_WAITING_FOR_FLUSHING) { + CheckFlushComplete(s); + if (s->stream_state_ == BROTLI_STREAM_PROCESSING) { + s->flint_ = BROTLI_FLINT_DONE; + } + } + continue; + } + + /* Compress data only when internal output buffer is empty, stream is not + finished and there is no pending flush request. */ + if (s->available_out_ == 0 && + s->stream_state_ == BROTLI_STREAM_PROCESSING) { + if (remaining_block_size == 0 || op != BROTLI_OPERATION_PROCESS) { + BROTLI_BOOL is_last = TO_BROTLI_BOOL( + (*available_in == 0) && op == BROTLI_OPERATION_FINISH); + BROTLI_BOOL force_flush = TO_BROTLI_BOOL( + (*available_in == 0) && op == BROTLI_OPERATION_FLUSH); + BROTLI_BOOL result; + /* Force emitting (uncompressed) piece containing flint. */ + if (!is_last && s->flint_ == 0) { + s->flint_ = BROTLI_FLINT_WAITING_FOR_FLUSHING; + force_flush = BROTLI_TRUE; + } + UpdateSizeHint(s, *available_in); + result = EncodeData(s, is_last, force_flush, + &s->available_out_, &s->next_out_); + if (!result) return BROTLI_FALSE; + if (force_flush) s->stream_state_ = BROTLI_STREAM_FLUSH_REQUESTED; + if (is_last) s->stream_state_ = BROTLI_STREAM_FINISHED; + continue; + } + } + break; + } + CheckFlushComplete(s); + return BROTLI_TRUE; +} + +BROTLI_BOOL BrotliEncoderIsFinished(BrotliEncoderState* s) { + return TO_BROTLI_BOOL(s->stream_state_ == BROTLI_STREAM_FINISHED && + !BrotliEncoderHasMoreOutput(s)); +} + +BROTLI_BOOL BrotliEncoderHasMoreOutput(BrotliEncoderState* s) { + return TO_BROTLI_BOOL(s->available_out_ != 0); +} + +const uint8_t* BrotliEncoderTakeOutput(BrotliEncoderState* s, size_t* size) { + size_t consumed_size = s->available_out_; + uint8_t* result = s->next_out_; + if (*size) { + consumed_size = BROTLI_MIN(size_t, *size, s->available_out_); + } + if (consumed_size) { + s->next_out_ += consumed_size; + s->available_out_ -= consumed_size; + s->total_out_ += consumed_size; + CheckFlushComplete(s); + *size = consumed_size; + } else { + *size = 0; + result = 0; + } + return result; +} + +uint32_t BrotliEncoderVersion(void) { + return BROTLI_VERSION; +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/encoder_dict.c b/modules/brotli/enc/encoder_dict.c new file mode 100644 index 0000000000..c9e963b89d --- /dev/null +++ b/modules/brotli/enc/encoder_dict.c @@ -0,0 +1,33 @@ +/* Copyright 2017 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +#include "./encoder_dict.h" + +#include "../common/dictionary.h" +#include "../common/transform.h" +#include "./dictionary_hash.h" +#include "./hash.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +void BrotliInitEncoderDictionary(BrotliEncoderDictionary* dict) { + dict->words = BrotliGetDictionary(); + dict->num_transforms = (uint32_t)BrotliGetTransforms()->num_transforms; + + dict->hash_table_words = kStaticDictionaryHashWords; + dict->hash_table_lengths = kStaticDictionaryHashLengths; + dict->buckets = kStaticDictionaryBuckets; + dict->dict_words = kStaticDictionaryWords; + + dict->cutoffTransformsCount = kCutoffTransformsCount; + dict->cutoffTransforms = kCutoffTransforms; +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/encoder_dict.h b/modules/brotli/enc/encoder_dict.h new file mode 100644 index 0000000000..a1c329fbf4 --- /dev/null +++ b/modules/brotli/enc/encoder_dict.h @@ -0,0 +1,43 @@ +/* Copyright 2017 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +#ifndef BROTLI_ENC_ENCODER_DICT_H_ +#define BROTLI_ENC_ENCODER_DICT_H_ + +#include "../common/dictionary.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./static_dict_lut.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* Dictionary data (words and transforms) for 1 possible context */ +typedef struct BrotliEncoderDictionary { + const BrotliDictionary* words; + uint32_t num_transforms; + + /* cut off for fast encoder */ + uint32_t cutoffTransformsCount; + uint64_t cutoffTransforms; + + /* from dictionary_hash.h, for fast encoder */ + const uint16_t* hash_table_words; + const uint8_t* hash_table_lengths; + + /* from static_dict_lut.h, for slow encoder */ + const uint16_t* buckets; + const DictWord* dict_words; +} BrotliEncoderDictionary; + +BROTLI_INTERNAL void BrotliInitEncoderDictionary(BrotliEncoderDictionary* dict); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_ENCODER_DICT_H_ */ diff --git a/modules/brotli/enc/entropy_encode.c b/modules/brotli/enc/entropy_encode.c new file mode 100644 index 0000000000..b50ccb5d1f --- /dev/null +++ b/modules/brotli/enc/entropy_encode.c @@ -0,0 +1,503 @@ +/* Copyright 2010 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Entropy encoding (Huffman) utilities. */ + +#include "./entropy_encode.h" + +#include <string.h> /* memset */ + +#include "../common/constants.h" +#include "../common/platform.h" +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +const size_t kBrotliShellGaps[] = {132, 57, 23, 10, 4, 1}; + +BROTLI_BOOL BrotliSetDepth( + int p0, HuffmanTree* pool, uint8_t* depth, int max_depth) { + int stack[16]; + int level = 0; + int p = p0; + BROTLI_DCHECK(max_depth <= 15); + stack[0] = -1; + while (BROTLI_TRUE) { + if (pool[p].index_left_ >= 0) { + level++; + if (level > max_depth) return BROTLI_FALSE; + stack[level] = pool[p].index_right_or_value_; + p = pool[p].index_left_; + continue; + } else { + depth[pool[p].index_right_or_value_] = (uint8_t)level; + } + while (level >= 0 && stack[level] == -1) level--; + if (level < 0) return BROTLI_TRUE; + p = stack[level]; + stack[level] = -1; + } +} + +/* Sort the root nodes, least popular first. */ +static BROTLI_INLINE BROTLI_BOOL SortHuffmanTree( + const HuffmanTree* v0, const HuffmanTree* v1) { + if (v0->total_count_ != v1->total_count_) { + return TO_BROTLI_BOOL(v0->total_count_ < v1->total_count_); + } + return TO_BROTLI_BOOL(v0->index_right_or_value_ > v1->index_right_or_value_); +} + +/* This function will create a Huffman tree. + + The catch here is that the tree cannot be arbitrarily deep. + Brotli specifies a maximum depth of 15 bits for "code trees" + and 7 bits for "code length code trees." + + count_limit is the value that is to be faked as the minimum value + and this minimum value is raised until the tree matches the + maximum length requirement. + + This algorithm is not of excellent performance for very long data blocks, + especially when population counts are longer than 2**tree_limit, but + we are not planning to use this with extremely long blocks. + + See http://en.wikipedia.org/wiki/Huffman_coding */ +void BrotliCreateHuffmanTree(const uint32_t* data, + const size_t length, + const int tree_limit, + HuffmanTree* tree, + uint8_t* depth) { + uint32_t count_limit; + HuffmanTree sentinel; + InitHuffmanTree(&sentinel, BROTLI_UINT32_MAX, -1, -1); + /* For block sizes below 64 kB, we never need to do a second iteration + of this loop. Probably all of our block sizes will be smaller than + that, so this loop is mostly of academic interest. If we actually + would need this, we would be better off with the Katajainen algorithm. */ + for (count_limit = 1; ; count_limit *= 2) { + size_t n = 0; + size_t i; + size_t j; + size_t k; + for (i = length; i != 0;) { + --i; + if (data[i]) { + const uint32_t count = BROTLI_MAX(uint32_t, data[i], count_limit); + InitHuffmanTree(&tree[n++], count, -1, (int16_t)i); + } + } + + if (n == 1) { + depth[tree[0].index_right_or_value_] = 1; /* Only one element. */ + break; + } + + SortHuffmanTreeItems(tree, n, SortHuffmanTree); + + /* The nodes are: + [0, n): the sorted leaf nodes that we start with. + [n]: we add a sentinel here. + [n + 1, 2n): new parent nodes are added here, starting from + (n+1). These are naturally in ascending order. + [2n]: we add a sentinel at the end as well. + There will be (2n+1) elements at the end. */ + tree[n] = sentinel; + tree[n + 1] = sentinel; + + i = 0; /* Points to the next leaf node. */ + j = n + 1; /* Points to the next non-leaf node. */ + for (k = n - 1; k != 0; --k) { + size_t left, right; + if (tree[i].total_count_ <= tree[j].total_count_) { + left = i; + ++i; + } else { + left = j; + ++j; + } + if (tree[i].total_count_ <= tree[j].total_count_) { + right = i; + ++i; + } else { + right = j; + ++j; + } + + { + /* The sentinel node becomes the parent node. */ + size_t j_end = 2 * n - k; + tree[j_end].total_count_ = + tree[left].total_count_ + tree[right].total_count_; + tree[j_end].index_left_ = (int16_t)left; + tree[j_end].index_right_or_value_ = (int16_t)right; + + /* Add back the last sentinel node. */ + tree[j_end + 1] = sentinel; + } + } + if (BrotliSetDepth((int)(2 * n - 1), &tree[0], depth, tree_limit)) { + /* We need to pack the Huffman tree in tree_limit bits. If this was not + successful, add fake entities to the lowest values and retry. */ + break; + } + } +} + +static void Reverse(uint8_t* v, size_t start, size_t end) { + --end; + while (start < end) { + uint8_t tmp = v[start]; + v[start] = v[end]; + v[end] = tmp; + ++start; + --end; + } +} + +static void BrotliWriteHuffmanTreeRepetitions( + const uint8_t previous_value, + const uint8_t value, + size_t repetitions, + size_t* tree_size, + uint8_t* tree, + uint8_t* extra_bits_data) { + BROTLI_DCHECK(repetitions > 0); + if (previous_value != value) { + tree[*tree_size] = value; + extra_bits_data[*tree_size] = 0; + ++(*tree_size); + --repetitions; + } + if (repetitions == 7) { + tree[*tree_size] = value; + extra_bits_data[*tree_size] = 0; + ++(*tree_size); + --repetitions; + } + if (repetitions < 3) { + size_t i; + for (i = 0; i < repetitions; ++i) { + tree[*tree_size] = value; + extra_bits_data[*tree_size] = 0; + ++(*tree_size); + } + } else { + size_t start = *tree_size; + repetitions -= 3; + while (BROTLI_TRUE) { + tree[*tree_size] = BROTLI_REPEAT_PREVIOUS_CODE_LENGTH; + extra_bits_data[*tree_size] = repetitions & 0x3; + ++(*tree_size); + repetitions >>= 2; + if (repetitions == 0) { + break; + } + --repetitions; + } + Reverse(tree, start, *tree_size); + Reverse(extra_bits_data, start, *tree_size); + } +} + +static void BrotliWriteHuffmanTreeRepetitionsZeros( + size_t repetitions, + size_t* tree_size, + uint8_t* tree, + uint8_t* extra_bits_data) { + if (repetitions == 11) { + tree[*tree_size] = 0; + extra_bits_data[*tree_size] = 0; + ++(*tree_size); + --repetitions; + } + if (repetitions < 3) { + size_t i; + for (i = 0; i < repetitions; ++i) { + tree[*tree_size] = 0; + extra_bits_data[*tree_size] = 0; + ++(*tree_size); + } + } else { + size_t start = *tree_size; + repetitions -= 3; + while (BROTLI_TRUE) { + tree[*tree_size] = BROTLI_REPEAT_ZERO_CODE_LENGTH; + extra_bits_data[*tree_size] = repetitions & 0x7; + ++(*tree_size); + repetitions >>= 3; + if (repetitions == 0) { + break; + } + --repetitions; + } + Reverse(tree, start, *tree_size); + Reverse(extra_bits_data, start, *tree_size); + } +} + +void BrotliOptimizeHuffmanCountsForRle(size_t length, uint32_t* counts, + uint8_t* good_for_rle) { + size_t nonzero_count = 0; + size_t stride; + size_t limit; + size_t sum; + const size_t streak_limit = 1240; + /* Let's make the Huffman code more compatible with RLE encoding. */ + size_t i; + for (i = 0; i < length; i++) { + if (counts[i]) { + ++nonzero_count; + } + } + if (nonzero_count < 16) { + return; + } + while (length != 0 && counts[length - 1] == 0) { + --length; + } + if (length == 0) { + return; /* All zeros. */ + } + /* Now counts[0..length - 1] does not have trailing zeros. */ + { + size_t nonzeros = 0; + uint32_t smallest_nonzero = 1 << 30; + for (i = 0; i < length; ++i) { + if (counts[i] != 0) { + ++nonzeros; + if (smallest_nonzero > counts[i]) { + smallest_nonzero = counts[i]; + } + } + } + if (nonzeros < 5) { + /* Small histogram will model it well. */ + return; + } + if (smallest_nonzero < 4) { + size_t zeros = length - nonzeros; + if (zeros < 6) { + for (i = 1; i < length - 1; ++i) { + if (counts[i - 1] != 0 && counts[i] == 0 && counts[i + 1] != 0) { + counts[i] = 1; + } + } + } + } + if (nonzeros < 28) { + return; + } + } + /* 2) Let's mark all population counts that already can be encoded + with an RLE code. */ + memset(good_for_rle, 0, length); + { + /* Let's not spoil any of the existing good RLE codes. + Mark any seq of 0's that is longer as 5 as a good_for_rle. + Mark any seq of non-0's that is longer as 7 as a good_for_rle. */ + uint32_t symbol = counts[0]; + size_t step = 0; + for (i = 0; i <= length; ++i) { + if (i == length || counts[i] != symbol) { + if ((symbol == 0 && step >= 5) || + (symbol != 0 && step >= 7)) { + size_t k; + for (k = 0; k < step; ++k) { + good_for_rle[i - k - 1] = 1; + } + } + step = 1; + if (i != length) { + symbol = counts[i]; + } + } else { + ++step; + } + } + } + /* 3) Let's replace those population counts that lead to more RLE codes. + Math here is in 24.8 fixed point representation. */ + stride = 0; + limit = 256 * (counts[0] + counts[1] + counts[2]) / 3 + 420; + sum = 0; + for (i = 0; i <= length; ++i) { + if (i == length || good_for_rle[i] || + (i != 0 && good_for_rle[i - 1]) || + (256 * counts[i] - limit + streak_limit) >= 2 * streak_limit) { + if (stride >= 4 || (stride >= 3 && sum == 0)) { + size_t k; + /* The stride must end, collapse what we have, if we have enough (4). */ + size_t count = (sum + stride / 2) / stride; + if (count == 0) { + count = 1; + } + if (sum == 0) { + /* Don't make an all zeros stride to be upgraded to ones. */ + count = 0; + } + for (k = 0; k < stride; ++k) { + /* We don't want to change value at counts[i], + that is already belonging to the next stride. Thus - 1. */ + counts[i - k - 1] = (uint32_t)count; + } + } + stride = 0; + sum = 0; + if (i < length - 2) { + /* All interesting strides have a count of at least 4, */ + /* at least when non-zeros. */ + limit = 256 * (counts[i] + counts[i + 1] + counts[i + 2]) / 3 + 420; + } else if (i < length) { + limit = 256 * counts[i]; + } else { + limit = 0; + } + } + ++stride; + if (i != length) { + sum += counts[i]; + if (stride >= 4) { + limit = (256 * sum + stride / 2) / stride; + } + if (stride == 4) { + limit += 120; + } + } + } +} + +static void DecideOverRleUse(const uint8_t* depth, const size_t length, + BROTLI_BOOL* use_rle_for_non_zero, + BROTLI_BOOL* use_rle_for_zero) { + size_t total_reps_zero = 0; + size_t total_reps_non_zero = 0; + size_t count_reps_zero = 1; + size_t count_reps_non_zero = 1; + size_t i; + for (i = 0; i < length;) { + const uint8_t value = depth[i]; + size_t reps = 1; + size_t k; + for (k = i + 1; k < length && depth[k] == value; ++k) { + ++reps; + } + if (reps >= 3 && value == 0) { + total_reps_zero += reps; + ++count_reps_zero; + } + if (reps >= 4 && value != 0) { + total_reps_non_zero += reps; + ++count_reps_non_zero; + } + i += reps; + } + *use_rle_for_non_zero = + TO_BROTLI_BOOL(total_reps_non_zero > count_reps_non_zero * 2); + *use_rle_for_zero = TO_BROTLI_BOOL(total_reps_zero > count_reps_zero * 2); +} + +void BrotliWriteHuffmanTree(const uint8_t* depth, + size_t length, + size_t* tree_size, + uint8_t* tree, + uint8_t* extra_bits_data) { + uint8_t previous_value = BROTLI_INITIAL_REPEATED_CODE_LENGTH; + size_t i; + BROTLI_BOOL use_rle_for_non_zero = BROTLI_FALSE; + BROTLI_BOOL use_rle_for_zero = BROTLI_FALSE; + + /* Throw away trailing zeros. */ + size_t new_length = length; + for (i = 0; i < length; ++i) { + if (depth[length - i - 1] == 0) { + --new_length; + } else { + break; + } + } + + /* First gather statistics on if it is a good idea to do RLE. */ + if (length > 50) { + /* Find RLE coding for longer codes. + Shorter codes seem not to benefit from RLE. */ + DecideOverRleUse(depth, new_length, + &use_rle_for_non_zero, &use_rle_for_zero); + } + + /* Actual RLE coding. */ + for (i = 0; i < new_length;) { + const uint8_t value = depth[i]; + size_t reps = 1; + if ((value != 0 && use_rle_for_non_zero) || + (value == 0 && use_rle_for_zero)) { + size_t k; + for (k = i + 1; k < new_length && depth[k] == value; ++k) { + ++reps; + } + } + if (value == 0) { + BrotliWriteHuffmanTreeRepetitionsZeros( + reps, tree_size, tree, extra_bits_data); + } else { + BrotliWriteHuffmanTreeRepetitions(previous_value, + value, reps, tree_size, + tree, extra_bits_data); + previous_value = value; + } + i += reps; + } +} + +static uint16_t BrotliReverseBits(size_t num_bits, uint16_t bits) { + static const size_t kLut[16] = { /* Pre-reversed 4-bit values. */ + 0x00, 0x08, 0x04, 0x0C, 0x02, 0x0A, 0x06, 0x0E, + 0x01, 0x09, 0x05, 0x0D, 0x03, 0x0B, 0x07, 0x0F + }; + size_t retval = kLut[bits & 0x0F]; + size_t i; + for (i = 4; i < num_bits; i += 4) { + retval <<= 4; + bits = (uint16_t)(bits >> 4); + retval |= kLut[bits & 0x0F]; + } + retval >>= ((0 - num_bits) & 0x03); + return (uint16_t)retval; +} + +/* 0..15 are values for bits */ +#define MAX_HUFFMAN_BITS 16 + +void BrotliConvertBitDepthsToSymbols(const uint8_t* depth, + size_t len, + uint16_t* bits) { + /* In Brotli, all bit depths are [1..15] + 0 bit depth means that the symbol does not exist. */ + uint16_t bl_count[MAX_HUFFMAN_BITS] = { 0 }; + uint16_t next_code[MAX_HUFFMAN_BITS]; + size_t i; + int code = 0; + for (i = 0; i < len; ++i) { + ++bl_count[depth[i]]; + } + bl_count[0] = 0; + next_code[0] = 0; + for (i = 1; i < MAX_HUFFMAN_BITS; ++i) { + code = (code + bl_count[i - 1]) << 1; + next_code[i] = (uint16_t)code; + } + for (i = 0; i < len; ++i) { + if (depth[i]) { + bits[i] = BrotliReverseBits(depth[i], next_code[depth[i]]++); + } + } +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/entropy_encode.h b/modules/brotli/enc/entropy_encode.h new file mode 100644 index 0000000000..9618e1d359 --- /dev/null +++ b/modules/brotli/enc/entropy_encode.h @@ -0,0 +1,122 @@ +/* Copyright 2010 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Entropy encoding (Huffman) utilities. */ + +#ifndef BROTLI_ENC_ENTROPY_ENCODE_H_ +#define BROTLI_ENC_ENTROPY_ENCODE_H_ + +#include "../common/platform.h" +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* A node of a Huffman tree. */ +typedef struct HuffmanTree { + uint32_t total_count_; + int16_t index_left_; + int16_t index_right_or_value_; +} HuffmanTree; + +static BROTLI_INLINE void InitHuffmanTree(HuffmanTree* self, uint32_t count, + int16_t left, int16_t right) { + self->total_count_ = count; + self->index_left_ = left; + self->index_right_or_value_ = right; +} + +/* Returns 1 is assignment of depths succeeded, otherwise 0. */ +BROTLI_INTERNAL BROTLI_BOOL BrotliSetDepth( + int p, HuffmanTree* pool, uint8_t* depth, int max_depth); + +/* This function will create a Huffman tree. + + The (data,length) contains the population counts. + The tree_limit is the maximum bit depth of the Huffman codes. + + The depth contains the tree, i.e., how many bits are used for + the symbol. + + The actual Huffman tree is constructed in the tree[] array, which has to + be at least 2 * length + 1 long. + + See http://en.wikipedia.org/wiki/Huffman_coding */ +BROTLI_INTERNAL void BrotliCreateHuffmanTree(const uint32_t* data, + const size_t length, + const int tree_limit, + HuffmanTree* tree, + uint8_t* depth); + +/* Change the population counts in a way that the consequent + Huffman tree compression, especially its RLE-part will be more + likely to compress this data more efficiently. + + length contains the size of the histogram. + counts contains the population counts. + good_for_rle is a buffer of at least length size */ +BROTLI_INTERNAL void BrotliOptimizeHuffmanCountsForRle( + size_t length, uint32_t* counts, uint8_t* good_for_rle); + +/* Write a Huffman tree from bit depths into the bit-stream representation + of a Huffman tree. The generated Huffman tree is to be compressed once + more using a Huffman tree */ +BROTLI_INTERNAL void BrotliWriteHuffmanTree(const uint8_t* depth, + size_t num, + size_t* tree_size, + uint8_t* tree, + uint8_t* extra_bits_data); + +/* Get the actual bit values for a tree of bit depths. */ +BROTLI_INTERNAL void BrotliConvertBitDepthsToSymbols(const uint8_t* depth, + size_t len, + uint16_t* bits); + +BROTLI_INTERNAL extern const size_t kBrotliShellGaps[6]; +/* Input size optimized Shell sort. */ +typedef BROTLI_BOOL (*HuffmanTreeComparator)( + const HuffmanTree*, const HuffmanTree*); +static BROTLI_INLINE void SortHuffmanTreeItems(HuffmanTree* items, + const size_t n, HuffmanTreeComparator comparator) { + if (n < 13) { + /* Insertion sort. */ + size_t i; + for (i = 1; i < n; ++i) { + HuffmanTree tmp = items[i]; + size_t k = i; + size_t j = i - 1; + while (comparator(&tmp, &items[j])) { + items[k] = items[j]; + k = j; + if (!j--) break; + } + items[k] = tmp; + } + return; + } else { + /* Shell sort. */ + int g = n < 57 ? 2 : 0; + for (; g < 6; ++g) { + size_t gap = kBrotliShellGaps[g]; + size_t i; + for (i = gap; i < n; ++i) { + size_t j = i; + HuffmanTree tmp = items[i]; + for (; j >= gap && comparator(&tmp, &items[j - gap]); j -= gap) { + items[j] = items[j - gap]; + } + items[j] = tmp; + } + } + } +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_ENTROPY_ENCODE_H_ */ diff --git a/modules/brotli/enc/entropy_encode_static.h b/modules/brotli/enc/entropy_encode_static.h new file mode 100644 index 0000000000..62b99a954c --- /dev/null +++ b/modules/brotli/enc/entropy_encode_static.h @@ -0,0 +1,539 @@ +/* Copyright 2015 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Static entropy codes used for faster meta-block encoding. */ + +#ifndef BROTLI_ENC_ENTROPY_ENCODE_STATIC_H_ +#define BROTLI_ENC_ENTROPY_ENCODE_STATIC_H_ + +#include "../common/constants.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./write_bits.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +static const uint8_t kCodeLengthDepth[18] = { + 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 0, 4, 4, +}; + +static const uint8_t kStaticCommandCodeDepth[BROTLI_NUM_COMMAND_SYMBOLS] = { + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, + 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, +}; + +static const uint8_t kStaticDistanceCodeDepth[64] = { + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, +}; + +static const uint32_t kCodeLengthBits[18] = { + 0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 15, 31, 0, 11, 7, +}; + +static BROTLI_INLINE void StoreStaticCodeLengthCode( + size_t* storage_ix, uint8_t* storage) { + BrotliWriteBits( + 40, BROTLI_MAKE_UINT64_T(0x0000FFu, 0x55555554u), storage_ix, storage); +} + +static const uint64_t kZeroRepsBits[BROTLI_NUM_COMMAND_SYMBOLS] = { + 0x00000000, 0x00000000, 0x00000000, 0x00000007, 0x00000017, 0x00000027, + 0x00000037, 0x00000047, 0x00000057, 0x00000067, 0x00000077, 0x00000770, + 0x00000b87, 0x00001387, 0x00001b87, 0x00002387, 0x00002b87, 0x00003387, + 0x00003b87, 0x00000397, 0x00000b97, 0x00001397, 0x00001b97, 0x00002397, + 0x00002b97, 0x00003397, 0x00003b97, 0x000003a7, 0x00000ba7, 0x000013a7, + 0x00001ba7, 0x000023a7, 0x00002ba7, 0x000033a7, 0x00003ba7, 0x000003b7, + 0x00000bb7, 0x000013b7, 0x00001bb7, 0x000023b7, 0x00002bb7, 0x000033b7, + 0x00003bb7, 0x000003c7, 0x00000bc7, 0x000013c7, 0x00001bc7, 0x000023c7, + 0x00002bc7, 0x000033c7, 0x00003bc7, 0x000003d7, 0x00000bd7, 0x000013d7, + 0x00001bd7, 0x000023d7, 0x00002bd7, 0x000033d7, 0x00003bd7, 0x000003e7, + 0x00000be7, 0x000013e7, 0x00001be7, 0x000023e7, 0x00002be7, 0x000033e7, + 0x00003be7, 0x000003f7, 0x00000bf7, 0x000013f7, 0x00001bf7, 0x000023f7, + 0x00002bf7, 0x000033f7, 0x00003bf7, 0x0001c387, 0x0005c387, 0x0009c387, + 0x000dc387, 0x0011c387, 0x0015c387, 0x0019c387, 0x001dc387, 0x0001cb87, + 0x0005cb87, 0x0009cb87, 0x000dcb87, 0x0011cb87, 0x0015cb87, 0x0019cb87, + 0x001dcb87, 0x0001d387, 0x0005d387, 0x0009d387, 0x000dd387, 0x0011d387, + 0x0015d387, 0x0019d387, 0x001dd387, 0x0001db87, 0x0005db87, 0x0009db87, + 0x000ddb87, 0x0011db87, 0x0015db87, 0x0019db87, 0x001ddb87, 0x0001e387, + 0x0005e387, 0x0009e387, 0x000de387, 0x0011e387, 0x0015e387, 0x0019e387, + 0x001de387, 0x0001eb87, 0x0005eb87, 0x0009eb87, 0x000deb87, 0x0011eb87, + 0x0015eb87, 0x0019eb87, 0x001deb87, 0x0001f387, 0x0005f387, 0x0009f387, + 0x000df387, 0x0011f387, 0x0015f387, 0x0019f387, 0x001df387, 0x0001fb87, + 0x0005fb87, 0x0009fb87, 0x000dfb87, 0x0011fb87, 0x0015fb87, 0x0019fb87, + 0x001dfb87, 0x0001c397, 0x0005c397, 0x0009c397, 0x000dc397, 0x0011c397, + 0x0015c397, 0x0019c397, 0x001dc397, 0x0001cb97, 0x0005cb97, 0x0009cb97, + 0x000dcb97, 0x0011cb97, 0x0015cb97, 0x0019cb97, 0x001dcb97, 0x0001d397, + 0x0005d397, 0x0009d397, 0x000dd397, 0x0011d397, 0x0015d397, 0x0019d397, + 0x001dd397, 0x0001db97, 0x0005db97, 0x0009db97, 0x000ddb97, 0x0011db97, + 0x0015db97, 0x0019db97, 0x001ddb97, 0x0001e397, 0x0005e397, 0x0009e397, + 0x000de397, 0x0011e397, 0x0015e397, 0x0019e397, 0x001de397, 0x0001eb97, + 0x0005eb97, 0x0009eb97, 0x000deb97, 0x0011eb97, 0x0015eb97, 0x0019eb97, + 0x001deb97, 0x0001f397, 0x0005f397, 0x0009f397, 0x000df397, 0x0011f397, + 0x0015f397, 0x0019f397, 0x001df397, 0x0001fb97, 0x0005fb97, 0x0009fb97, + 0x000dfb97, 0x0011fb97, 0x0015fb97, 0x0019fb97, 0x001dfb97, 0x0001c3a7, + 0x0005c3a7, 0x0009c3a7, 0x000dc3a7, 0x0011c3a7, 0x0015c3a7, 0x0019c3a7, + 0x001dc3a7, 0x0001cba7, 0x0005cba7, 0x0009cba7, 0x000dcba7, 0x0011cba7, + 0x0015cba7, 0x0019cba7, 0x001dcba7, 0x0001d3a7, 0x0005d3a7, 0x0009d3a7, + 0x000dd3a7, 0x0011d3a7, 0x0015d3a7, 0x0019d3a7, 0x001dd3a7, 0x0001dba7, + 0x0005dba7, 0x0009dba7, 0x000ddba7, 0x0011dba7, 0x0015dba7, 0x0019dba7, + 0x001ddba7, 0x0001e3a7, 0x0005e3a7, 0x0009e3a7, 0x000de3a7, 0x0011e3a7, + 0x0015e3a7, 0x0019e3a7, 0x001de3a7, 0x0001eba7, 0x0005eba7, 0x0009eba7, + 0x000deba7, 0x0011eba7, 0x0015eba7, 0x0019eba7, 0x001deba7, 0x0001f3a7, + 0x0005f3a7, 0x0009f3a7, 0x000df3a7, 0x0011f3a7, 0x0015f3a7, 0x0019f3a7, + 0x001df3a7, 0x0001fba7, 0x0005fba7, 0x0009fba7, 0x000dfba7, 0x0011fba7, + 0x0015fba7, 0x0019fba7, 0x001dfba7, 0x0001c3b7, 0x0005c3b7, 0x0009c3b7, + 0x000dc3b7, 0x0011c3b7, 0x0015c3b7, 0x0019c3b7, 0x001dc3b7, 0x0001cbb7, + 0x0005cbb7, 0x0009cbb7, 0x000dcbb7, 0x0011cbb7, 0x0015cbb7, 0x0019cbb7, + 0x001dcbb7, 0x0001d3b7, 0x0005d3b7, 0x0009d3b7, 0x000dd3b7, 0x0011d3b7, + 0x0015d3b7, 0x0019d3b7, 0x001dd3b7, 0x0001dbb7, 0x0005dbb7, 0x0009dbb7, + 0x000ddbb7, 0x0011dbb7, 0x0015dbb7, 0x0019dbb7, 0x001ddbb7, 0x0001e3b7, + 0x0005e3b7, 0x0009e3b7, 0x000de3b7, 0x0011e3b7, 0x0015e3b7, 0x0019e3b7, + 0x001de3b7, 0x0001ebb7, 0x0005ebb7, 0x0009ebb7, 0x000debb7, 0x0011ebb7, + 0x0015ebb7, 0x0019ebb7, 0x001debb7, 0x0001f3b7, 0x0005f3b7, 0x0009f3b7, + 0x000df3b7, 0x0011f3b7, 0x0015f3b7, 0x0019f3b7, 0x001df3b7, 0x0001fbb7, + 0x0005fbb7, 0x0009fbb7, 0x000dfbb7, 0x0011fbb7, 0x0015fbb7, 0x0019fbb7, + 0x001dfbb7, 0x0001c3c7, 0x0005c3c7, 0x0009c3c7, 0x000dc3c7, 0x0011c3c7, + 0x0015c3c7, 0x0019c3c7, 0x001dc3c7, 0x0001cbc7, 0x0005cbc7, 0x0009cbc7, + 0x000dcbc7, 0x0011cbc7, 0x0015cbc7, 0x0019cbc7, 0x001dcbc7, 0x0001d3c7, + 0x0005d3c7, 0x0009d3c7, 0x000dd3c7, 0x0011d3c7, 0x0015d3c7, 0x0019d3c7, + 0x001dd3c7, 0x0001dbc7, 0x0005dbc7, 0x0009dbc7, 0x000ddbc7, 0x0011dbc7, + 0x0015dbc7, 0x0019dbc7, 0x001ddbc7, 0x0001e3c7, 0x0005e3c7, 0x0009e3c7, + 0x000de3c7, 0x0011e3c7, 0x0015e3c7, 0x0019e3c7, 0x001de3c7, 0x0001ebc7, + 0x0005ebc7, 0x0009ebc7, 0x000debc7, 0x0011ebc7, 0x0015ebc7, 0x0019ebc7, + 0x001debc7, 0x0001f3c7, 0x0005f3c7, 0x0009f3c7, 0x000df3c7, 0x0011f3c7, + 0x0015f3c7, 0x0019f3c7, 0x001df3c7, 0x0001fbc7, 0x0005fbc7, 0x0009fbc7, + 0x000dfbc7, 0x0011fbc7, 0x0015fbc7, 0x0019fbc7, 0x001dfbc7, 0x0001c3d7, + 0x0005c3d7, 0x0009c3d7, 0x000dc3d7, 0x0011c3d7, 0x0015c3d7, 0x0019c3d7, + 0x001dc3d7, 0x0001cbd7, 0x0005cbd7, 0x0009cbd7, 0x000dcbd7, 0x0011cbd7, + 0x0015cbd7, 0x0019cbd7, 0x001dcbd7, 0x0001d3d7, 0x0005d3d7, 0x0009d3d7, + 0x000dd3d7, 0x0011d3d7, 0x0015d3d7, 0x0019d3d7, 0x001dd3d7, 0x0001dbd7, + 0x0005dbd7, 0x0009dbd7, 0x000ddbd7, 0x0011dbd7, 0x0015dbd7, 0x0019dbd7, + 0x001ddbd7, 0x0001e3d7, 0x0005e3d7, 0x0009e3d7, 0x000de3d7, 0x0011e3d7, + 0x0015e3d7, 0x0019e3d7, 0x001de3d7, 0x0001ebd7, 0x0005ebd7, 0x0009ebd7, + 0x000debd7, 0x0011ebd7, 0x0015ebd7, 0x0019ebd7, 0x001debd7, 0x0001f3d7, + 0x0005f3d7, 0x0009f3d7, 0x000df3d7, 0x0011f3d7, 0x0015f3d7, 0x0019f3d7, + 0x001df3d7, 0x0001fbd7, 0x0005fbd7, 0x0009fbd7, 0x000dfbd7, 0x0011fbd7, + 0x0015fbd7, 0x0019fbd7, 0x001dfbd7, 0x0001c3e7, 0x0005c3e7, 0x0009c3e7, + 0x000dc3e7, 0x0011c3e7, 0x0015c3e7, 0x0019c3e7, 0x001dc3e7, 0x0001cbe7, + 0x0005cbe7, 0x0009cbe7, 0x000dcbe7, 0x0011cbe7, 0x0015cbe7, 0x0019cbe7, + 0x001dcbe7, 0x0001d3e7, 0x0005d3e7, 0x0009d3e7, 0x000dd3e7, 0x0011d3e7, + 0x0015d3e7, 0x0019d3e7, 0x001dd3e7, 0x0001dbe7, 0x0005dbe7, 0x0009dbe7, + 0x000ddbe7, 0x0011dbe7, 0x0015dbe7, 0x0019dbe7, 0x001ddbe7, 0x0001e3e7, + 0x0005e3e7, 0x0009e3e7, 0x000de3e7, 0x0011e3e7, 0x0015e3e7, 0x0019e3e7, + 0x001de3e7, 0x0001ebe7, 0x0005ebe7, 0x0009ebe7, 0x000debe7, 0x0011ebe7, + 0x0015ebe7, 0x0019ebe7, 0x001debe7, 0x0001f3e7, 0x0005f3e7, 0x0009f3e7, + 0x000df3e7, 0x0011f3e7, 0x0015f3e7, 0x0019f3e7, 0x001df3e7, 0x0001fbe7, + 0x0005fbe7, 0x0009fbe7, 0x000dfbe7, 0x0011fbe7, 0x0015fbe7, 0x0019fbe7, + 0x001dfbe7, 0x0001c3f7, 0x0005c3f7, 0x0009c3f7, 0x000dc3f7, 0x0011c3f7, + 0x0015c3f7, 0x0019c3f7, 0x001dc3f7, 0x0001cbf7, 0x0005cbf7, 0x0009cbf7, + 0x000dcbf7, 0x0011cbf7, 0x0015cbf7, 0x0019cbf7, 0x001dcbf7, 0x0001d3f7, + 0x0005d3f7, 0x0009d3f7, 0x000dd3f7, 0x0011d3f7, 0x0015d3f7, 0x0019d3f7, + 0x001dd3f7, 0x0001dbf7, 0x0005dbf7, 0x0009dbf7, 0x000ddbf7, 0x0011dbf7, + 0x0015dbf7, 0x0019dbf7, 0x001ddbf7, 0x0001e3f7, 0x0005e3f7, 0x0009e3f7, + 0x000de3f7, 0x0011e3f7, 0x0015e3f7, 0x0019e3f7, 0x001de3f7, 0x0001ebf7, + 0x0005ebf7, 0x0009ebf7, 0x000debf7, 0x0011ebf7, 0x0015ebf7, 0x0019ebf7, + 0x001debf7, 0x0001f3f7, 0x0005f3f7, 0x0009f3f7, 0x000df3f7, 0x0011f3f7, + 0x0015f3f7, 0x0019f3f7, 0x001df3f7, 0x0001fbf7, 0x0005fbf7, 0x0009fbf7, + 0x000dfbf7, 0x0011fbf7, 0x0015fbf7, 0x0019fbf7, 0x001dfbf7, 0x00e1c387, + 0x02e1c387, 0x04e1c387, 0x06e1c387, 0x08e1c387, 0x0ae1c387, 0x0ce1c387, + 0x0ee1c387, 0x00e5c387, 0x02e5c387, 0x04e5c387, 0x06e5c387, 0x08e5c387, + 0x0ae5c387, 0x0ce5c387, 0x0ee5c387, 0x00e9c387, 0x02e9c387, 0x04e9c387, + 0x06e9c387, 0x08e9c387, 0x0ae9c387, 0x0ce9c387, 0x0ee9c387, 0x00edc387, + 0x02edc387, 0x04edc387, 0x06edc387, 0x08edc387, 0x0aedc387, 0x0cedc387, + 0x0eedc387, 0x00f1c387, 0x02f1c387, 0x04f1c387, 0x06f1c387, 0x08f1c387, + 0x0af1c387, 0x0cf1c387, 0x0ef1c387, 0x00f5c387, 0x02f5c387, 0x04f5c387, + 0x06f5c387, 0x08f5c387, 0x0af5c387, 0x0cf5c387, 0x0ef5c387, 0x00f9c387, + 0x02f9c387, 0x04f9c387, 0x06f9c387, 0x08f9c387, 0x0af9c387, 0x0cf9c387, + 0x0ef9c387, 0x00fdc387, 0x02fdc387, 0x04fdc387, 0x06fdc387, 0x08fdc387, + 0x0afdc387, 0x0cfdc387, 0x0efdc387, 0x00e1cb87, 0x02e1cb87, 0x04e1cb87, + 0x06e1cb87, 0x08e1cb87, 0x0ae1cb87, 0x0ce1cb87, 0x0ee1cb87, 0x00e5cb87, + 0x02e5cb87, 0x04e5cb87, 0x06e5cb87, 0x08e5cb87, 0x0ae5cb87, 0x0ce5cb87, + 0x0ee5cb87, 0x00e9cb87, 0x02e9cb87, 0x04e9cb87, 0x06e9cb87, 0x08e9cb87, + 0x0ae9cb87, 0x0ce9cb87, 0x0ee9cb87, 0x00edcb87, 0x02edcb87, 0x04edcb87, + 0x06edcb87, 0x08edcb87, 0x0aedcb87, 0x0cedcb87, 0x0eedcb87, 0x00f1cb87, + 0x02f1cb87, 0x04f1cb87, 0x06f1cb87, 0x08f1cb87, 0x0af1cb87, 0x0cf1cb87, + 0x0ef1cb87, 0x00f5cb87, 0x02f5cb87, 0x04f5cb87, 0x06f5cb87, 0x08f5cb87, + 0x0af5cb87, 0x0cf5cb87, 0x0ef5cb87, 0x00f9cb87, 0x02f9cb87, 0x04f9cb87, + 0x06f9cb87, 0x08f9cb87, +}; + +static const uint32_t kZeroRepsDepth[BROTLI_NUM_COMMAND_SYMBOLS] = { + 0, 4, 8, 7, 7, 7, 7, 7, 7, 7, 7, 11, 14, 14, 14, 14, + 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, + 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, + 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 28, 28, 28, 28, 28, + 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, + 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, + 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, + 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, + 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, + 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, + 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, +}; + +static const uint64_t kNonZeroRepsBits[BROTLI_NUM_COMMAND_SYMBOLS] = { + 0x0000000b, 0x0000001b, 0x0000002b, 0x0000003b, 0x000002cb, 0x000006cb, + 0x00000acb, 0x00000ecb, 0x000002db, 0x000006db, 0x00000adb, 0x00000edb, + 0x000002eb, 0x000006eb, 0x00000aeb, 0x00000eeb, 0x000002fb, 0x000006fb, + 0x00000afb, 0x00000efb, 0x0000b2cb, 0x0001b2cb, 0x0002b2cb, 0x0003b2cb, + 0x0000b6cb, 0x0001b6cb, 0x0002b6cb, 0x0003b6cb, 0x0000bacb, 0x0001bacb, + 0x0002bacb, 0x0003bacb, 0x0000becb, 0x0001becb, 0x0002becb, 0x0003becb, + 0x0000b2db, 0x0001b2db, 0x0002b2db, 0x0003b2db, 0x0000b6db, 0x0001b6db, + 0x0002b6db, 0x0003b6db, 0x0000badb, 0x0001badb, 0x0002badb, 0x0003badb, + 0x0000bedb, 0x0001bedb, 0x0002bedb, 0x0003bedb, 0x0000b2eb, 0x0001b2eb, + 0x0002b2eb, 0x0003b2eb, 0x0000b6eb, 0x0001b6eb, 0x0002b6eb, 0x0003b6eb, + 0x0000baeb, 0x0001baeb, 0x0002baeb, 0x0003baeb, 0x0000beeb, 0x0001beeb, + 0x0002beeb, 0x0003beeb, 0x0000b2fb, 0x0001b2fb, 0x0002b2fb, 0x0003b2fb, + 0x0000b6fb, 0x0001b6fb, 0x0002b6fb, 0x0003b6fb, 0x0000bafb, 0x0001bafb, + 0x0002bafb, 0x0003bafb, 0x0000befb, 0x0001befb, 0x0002befb, 0x0003befb, + 0x002cb2cb, 0x006cb2cb, 0x00acb2cb, 0x00ecb2cb, 0x002db2cb, 0x006db2cb, + 0x00adb2cb, 0x00edb2cb, 0x002eb2cb, 0x006eb2cb, 0x00aeb2cb, 0x00eeb2cb, + 0x002fb2cb, 0x006fb2cb, 0x00afb2cb, 0x00efb2cb, 0x002cb6cb, 0x006cb6cb, + 0x00acb6cb, 0x00ecb6cb, 0x002db6cb, 0x006db6cb, 0x00adb6cb, 0x00edb6cb, + 0x002eb6cb, 0x006eb6cb, 0x00aeb6cb, 0x00eeb6cb, 0x002fb6cb, 0x006fb6cb, + 0x00afb6cb, 0x00efb6cb, 0x002cbacb, 0x006cbacb, 0x00acbacb, 0x00ecbacb, + 0x002dbacb, 0x006dbacb, 0x00adbacb, 0x00edbacb, 0x002ebacb, 0x006ebacb, + 0x00aebacb, 0x00eebacb, 0x002fbacb, 0x006fbacb, 0x00afbacb, 0x00efbacb, + 0x002cbecb, 0x006cbecb, 0x00acbecb, 0x00ecbecb, 0x002dbecb, 0x006dbecb, + 0x00adbecb, 0x00edbecb, 0x002ebecb, 0x006ebecb, 0x00aebecb, 0x00eebecb, + 0x002fbecb, 0x006fbecb, 0x00afbecb, 0x00efbecb, 0x002cb2db, 0x006cb2db, + 0x00acb2db, 0x00ecb2db, 0x002db2db, 0x006db2db, 0x00adb2db, 0x00edb2db, + 0x002eb2db, 0x006eb2db, 0x00aeb2db, 0x00eeb2db, 0x002fb2db, 0x006fb2db, + 0x00afb2db, 0x00efb2db, 0x002cb6db, 0x006cb6db, 0x00acb6db, 0x00ecb6db, + 0x002db6db, 0x006db6db, 0x00adb6db, 0x00edb6db, 0x002eb6db, 0x006eb6db, + 0x00aeb6db, 0x00eeb6db, 0x002fb6db, 0x006fb6db, 0x00afb6db, 0x00efb6db, + 0x002cbadb, 0x006cbadb, 0x00acbadb, 0x00ecbadb, 0x002dbadb, 0x006dbadb, + 0x00adbadb, 0x00edbadb, 0x002ebadb, 0x006ebadb, 0x00aebadb, 0x00eebadb, + 0x002fbadb, 0x006fbadb, 0x00afbadb, 0x00efbadb, 0x002cbedb, 0x006cbedb, + 0x00acbedb, 0x00ecbedb, 0x002dbedb, 0x006dbedb, 0x00adbedb, 0x00edbedb, + 0x002ebedb, 0x006ebedb, 0x00aebedb, 0x00eebedb, 0x002fbedb, 0x006fbedb, + 0x00afbedb, 0x00efbedb, 0x002cb2eb, 0x006cb2eb, 0x00acb2eb, 0x00ecb2eb, + 0x002db2eb, 0x006db2eb, 0x00adb2eb, 0x00edb2eb, 0x002eb2eb, 0x006eb2eb, + 0x00aeb2eb, 0x00eeb2eb, 0x002fb2eb, 0x006fb2eb, 0x00afb2eb, 0x00efb2eb, + 0x002cb6eb, 0x006cb6eb, 0x00acb6eb, 0x00ecb6eb, 0x002db6eb, 0x006db6eb, + 0x00adb6eb, 0x00edb6eb, 0x002eb6eb, 0x006eb6eb, 0x00aeb6eb, 0x00eeb6eb, + 0x002fb6eb, 0x006fb6eb, 0x00afb6eb, 0x00efb6eb, 0x002cbaeb, 0x006cbaeb, + 0x00acbaeb, 0x00ecbaeb, 0x002dbaeb, 0x006dbaeb, 0x00adbaeb, 0x00edbaeb, + 0x002ebaeb, 0x006ebaeb, 0x00aebaeb, 0x00eebaeb, 0x002fbaeb, 0x006fbaeb, + 0x00afbaeb, 0x00efbaeb, 0x002cbeeb, 0x006cbeeb, 0x00acbeeb, 0x00ecbeeb, + 0x002dbeeb, 0x006dbeeb, 0x00adbeeb, 0x00edbeeb, 0x002ebeeb, 0x006ebeeb, + 0x00aebeeb, 0x00eebeeb, 0x002fbeeb, 0x006fbeeb, 0x00afbeeb, 0x00efbeeb, + 0x002cb2fb, 0x006cb2fb, 0x00acb2fb, 0x00ecb2fb, 0x002db2fb, 0x006db2fb, + 0x00adb2fb, 0x00edb2fb, 0x002eb2fb, 0x006eb2fb, 0x00aeb2fb, 0x00eeb2fb, + 0x002fb2fb, 0x006fb2fb, 0x00afb2fb, 0x00efb2fb, 0x002cb6fb, 0x006cb6fb, + 0x00acb6fb, 0x00ecb6fb, 0x002db6fb, 0x006db6fb, 0x00adb6fb, 0x00edb6fb, + 0x002eb6fb, 0x006eb6fb, 0x00aeb6fb, 0x00eeb6fb, 0x002fb6fb, 0x006fb6fb, + 0x00afb6fb, 0x00efb6fb, 0x002cbafb, 0x006cbafb, 0x00acbafb, 0x00ecbafb, + 0x002dbafb, 0x006dbafb, 0x00adbafb, 0x00edbafb, 0x002ebafb, 0x006ebafb, + 0x00aebafb, 0x00eebafb, 0x002fbafb, 0x006fbafb, 0x00afbafb, 0x00efbafb, + 0x002cbefb, 0x006cbefb, 0x00acbefb, 0x00ecbefb, 0x002dbefb, 0x006dbefb, + 0x00adbefb, 0x00edbefb, 0x002ebefb, 0x006ebefb, 0x00aebefb, 0x00eebefb, + 0x002fbefb, 0x006fbefb, 0x00afbefb, 0x00efbefb, 0x0b2cb2cb, 0x1b2cb2cb, + 0x2b2cb2cb, 0x3b2cb2cb, 0x0b6cb2cb, 0x1b6cb2cb, 0x2b6cb2cb, 0x3b6cb2cb, + 0x0bacb2cb, 0x1bacb2cb, 0x2bacb2cb, 0x3bacb2cb, 0x0becb2cb, 0x1becb2cb, + 0x2becb2cb, 0x3becb2cb, 0x0b2db2cb, 0x1b2db2cb, 0x2b2db2cb, 0x3b2db2cb, + 0x0b6db2cb, 0x1b6db2cb, 0x2b6db2cb, 0x3b6db2cb, 0x0badb2cb, 0x1badb2cb, + 0x2badb2cb, 0x3badb2cb, 0x0bedb2cb, 0x1bedb2cb, 0x2bedb2cb, 0x3bedb2cb, + 0x0b2eb2cb, 0x1b2eb2cb, 0x2b2eb2cb, 0x3b2eb2cb, 0x0b6eb2cb, 0x1b6eb2cb, + 0x2b6eb2cb, 0x3b6eb2cb, 0x0baeb2cb, 0x1baeb2cb, 0x2baeb2cb, 0x3baeb2cb, + 0x0beeb2cb, 0x1beeb2cb, 0x2beeb2cb, 0x3beeb2cb, 0x0b2fb2cb, 0x1b2fb2cb, + 0x2b2fb2cb, 0x3b2fb2cb, 0x0b6fb2cb, 0x1b6fb2cb, 0x2b6fb2cb, 0x3b6fb2cb, + 0x0bafb2cb, 0x1bafb2cb, 0x2bafb2cb, 0x3bafb2cb, 0x0befb2cb, 0x1befb2cb, + 0x2befb2cb, 0x3befb2cb, 0x0b2cb6cb, 0x1b2cb6cb, 0x2b2cb6cb, 0x3b2cb6cb, + 0x0b6cb6cb, 0x1b6cb6cb, 0x2b6cb6cb, 0x3b6cb6cb, 0x0bacb6cb, 0x1bacb6cb, + 0x2bacb6cb, 0x3bacb6cb, 0x0becb6cb, 0x1becb6cb, 0x2becb6cb, 0x3becb6cb, + 0x0b2db6cb, 0x1b2db6cb, 0x2b2db6cb, 0x3b2db6cb, 0x0b6db6cb, 0x1b6db6cb, + 0x2b6db6cb, 0x3b6db6cb, 0x0badb6cb, 0x1badb6cb, 0x2badb6cb, 0x3badb6cb, + 0x0bedb6cb, 0x1bedb6cb, 0x2bedb6cb, 0x3bedb6cb, 0x0b2eb6cb, 0x1b2eb6cb, + 0x2b2eb6cb, 0x3b2eb6cb, 0x0b6eb6cb, 0x1b6eb6cb, 0x2b6eb6cb, 0x3b6eb6cb, + 0x0baeb6cb, 0x1baeb6cb, 0x2baeb6cb, 0x3baeb6cb, 0x0beeb6cb, 0x1beeb6cb, + 0x2beeb6cb, 0x3beeb6cb, 0x0b2fb6cb, 0x1b2fb6cb, 0x2b2fb6cb, 0x3b2fb6cb, + 0x0b6fb6cb, 0x1b6fb6cb, 0x2b6fb6cb, 0x3b6fb6cb, 0x0bafb6cb, 0x1bafb6cb, + 0x2bafb6cb, 0x3bafb6cb, 0x0befb6cb, 0x1befb6cb, 0x2befb6cb, 0x3befb6cb, + 0x0b2cbacb, 0x1b2cbacb, 0x2b2cbacb, 0x3b2cbacb, 0x0b6cbacb, 0x1b6cbacb, + 0x2b6cbacb, 0x3b6cbacb, 0x0bacbacb, 0x1bacbacb, 0x2bacbacb, 0x3bacbacb, + 0x0becbacb, 0x1becbacb, 0x2becbacb, 0x3becbacb, 0x0b2dbacb, 0x1b2dbacb, + 0x2b2dbacb, 0x3b2dbacb, 0x0b6dbacb, 0x1b6dbacb, 0x2b6dbacb, 0x3b6dbacb, + 0x0badbacb, 0x1badbacb, 0x2badbacb, 0x3badbacb, 0x0bedbacb, 0x1bedbacb, + 0x2bedbacb, 0x3bedbacb, 0x0b2ebacb, 0x1b2ebacb, 0x2b2ebacb, 0x3b2ebacb, + 0x0b6ebacb, 0x1b6ebacb, 0x2b6ebacb, 0x3b6ebacb, 0x0baebacb, 0x1baebacb, + 0x2baebacb, 0x3baebacb, 0x0beebacb, 0x1beebacb, 0x2beebacb, 0x3beebacb, + 0x0b2fbacb, 0x1b2fbacb, 0x2b2fbacb, 0x3b2fbacb, 0x0b6fbacb, 0x1b6fbacb, + 0x2b6fbacb, 0x3b6fbacb, 0x0bafbacb, 0x1bafbacb, 0x2bafbacb, 0x3bafbacb, + 0x0befbacb, 0x1befbacb, 0x2befbacb, 0x3befbacb, 0x0b2cbecb, 0x1b2cbecb, + 0x2b2cbecb, 0x3b2cbecb, 0x0b6cbecb, 0x1b6cbecb, 0x2b6cbecb, 0x3b6cbecb, + 0x0bacbecb, 0x1bacbecb, 0x2bacbecb, 0x3bacbecb, 0x0becbecb, 0x1becbecb, + 0x2becbecb, 0x3becbecb, 0x0b2dbecb, 0x1b2dbecb, 0x2b2dbecb, 0x3b2dbecb, + 0x0b6dbecb, 0x1b6dbecb, 0x2b6dbecb, 0x3b6dbecb, 0x0badbecb, 0x1badbecb, + 0x2badbecb, 0x3badbecb, 0x0bedbecb, 0x1bedbecb, 0x2bedbecb, 0x3bedbecb, + 0x0b2ebecb, 0x1b2ebecb, 0x2b2ebecb, 0x3b2ebecb, 0x0b6ebecb, 0x1b6ebecb, + 0x2b6ebecb, 0x3b6ebecb, 0x0baebecb, 0x1baebecb, 0x2baebecb, 0x3baebecb, + 0x0beebecb, 0x1beebecb, 0x2beebecb, 0x3beebecb, 0x0b2fbecb, 0x1b2fbecb, + 0x2b2fbecb, 0x3b2fbecb, 0x0b6fbecb, 0x1b6fbecb, 0x2b6fbecb, 0x3b6fbecb, + 0x0bafbecb, 0x1bafbecb, 0x2bafbecb, 0x3bafbecb, 0x0befbecb, 0x1befbecb, + 0x2befbecb, 0x3befbecb, 0x0b2cb2db, 0x1b2cb2db, 0x2b2cb2db, 0x3b2cb2db, + 0x0b6cb2db, 0x1b6cb2db, 0x2b6cb2db, 0x3b6cb2db, 0x0bacb2db, 0x1bacb2db, + 0x2bacb2db, 0x3bacb2db, 0x0becb2db, 0x1becb2db, 0x2becb2db, 0x3becb2db, + 0x0b2db2db, 0x1b2db2db, 0x2b2db2db, 0x3b2db2db, 0x0b6db2db, 0x1b6db2db, + 0x2b6db2db, 0x3b6db2db, 0x0badb2db, 0x1badb2db, 0x2badb2db, 0x3badb2db, + 0x0bedb2db, 0x1bedb2db, 0x2bedb2db, 0x3bedb2db, 0x0b2eb2db, 0x1b2eb2db, + 0x2b2eb2db, 0x3b2eb2db, 0x0b6eb2db, 0x1b6eb2db, 0x2b6eb2db, 0x3b6eb2db, + 0x0baeb2db, 0x1baeb2db, 0x2baeb2db, 0x3baeb2db, 0x0beeb2db, 0x1beeb2db, + 0x2beeb2db, 0x3beeb2db, 0x0b2fb2db, 0x1b2fb2db, 0x2b2fb2db, 0x3b2fb2db, + 0x0b6fb2db, 0x1b6fb2db, 0x2b6fb2db, 0x3b6fb2db, 0x0bafb2db, 0x1bafb2db, + 0x2bafb2db, 0x3bafb2db, 0x0befb2db, 0x1befb2db, 0x2befb2db, 0x3befb2db, + 0x0b2cb6db, 0x1b2cb6db, 0x2b2cb6db, 0x3b2cb6db, 0x0b6cb6db, 0x1b6cb6db, + 0x2b6cb6db, 0x3b6cb6db, 0x0bacb6db, 0x1bacb6db, 0x2bacb6db, 0x3bacb6db, + 0x0becb6db, 0x1becb6db, 0x2becb6db, 0x3becb6db, 0x0b2db6db, 0x1b2db6db, + 0x2b2db6db, 0x3b2db6db, 0x0b6db6db, 0x1b6db6db, 0x2b6db6db, 0x3b6db6db, + 0x0badb6db, 0x1badb6db, 0x2badb6db, 0x3badb6db, 0x0bedb6db, 0x1bedb6db, + 0x2bedb6db, 0x3bedb6db, 0x0b2eb6db, 0x1b2eb6db, 0x2b2eb6db, 0x3b2eb6db, + 0x0b6eb6db, 0x1b6eb6db, 0x2b6eb6db, 0x3b6eb6db, 0x0baeb6db, 0x1baeb6db, + 0x2baeb6db, 0x3baeb6db, +}; + +static const uint32_t kNonZeroRepsDepth[BROTLI_NUM_COMMAND_SYMBOLS] = { + 6, 6, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, + 12, 12, 12, 12, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, + 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, + 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, + 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, + 18, 18, 18, 18, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, + 24, 24, 24, 24, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, + 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, +}; + +static const uint16_t kStaticCommandCodeBits[BROTLI_NUM_COMMAND_SYMBOLS] = { + 0, 256, 128, 384, 64, 320, 192, 448, + 32, 288, 160, 416, 96, 352, 224, 480, + 16, 272, 144, 400, 80, 336, 208, 464, + 48, 304, 176, 432, 112, 368, 240, 496, + 8, 264, 136, 392, 72, 328, 200, 456, + 40, 296, 168, 424, 104, 360, 232, 488, + 24, 280, 152, 408, 88, 344, 216, 472, + 56, 312, 184, 440, 120, 376, 248, 504, + 4, 260, 132, 388, 68, 324, 196, 452, + 36, 292, 164, 420, 100, 356, 228, 484, + 20, 276, 148, 404, 84, 340, 212, 468, + 52, 308, 180, 436, 116, 372, 244, 500, + 12, 268, 140, 396, 76, 332, 204, 460, + 44, 300, 172, 428, 108, 364, 236, 492, + 28, 284, 156, 412, 92, 348, 220, 476, + 60, 316, 188, 444, 124, 380, 252, 508, + 2, 258, 130, 386, 66, 322, 194, 450, + 34, 290, 162, 418, 98, 354, 226, 482, + 18, 274, 146, 402, 82, 338, 210, 466, + 50, 306, 178, 434, 114, 370, 242, 498, + 10, 266, 138, 394, 74, 330, 202, 458, + 42, 298, 170, 426, 106, 362, 234, 490, + 26, 282, 154, 410, 90, 346, 218, 474, + 58, 314, 186, 442, 122, 378, 250, 506, + 6, 262, 134, 390, 70, 326, 198, 454, + 38, 294, 166, 422, 102, 358, 230, 486, + 22, 278, 150, 406, 86, 342, 214, 470, + 54, 310, 182, 438, 118, 374, 246, 502, + 14, 270, 142, 398, 78, 334, 206, 462, + 46, 302, 174, 430, 110, 366, 238, 494, + 30, 286, 158, 414, 94, 350, 222, 478, + 62, 318, 190, 446, 126, 382, 254, 510, + 1, 257, 129, 385, 65, 321, 193, 449, + 33, 289, 161, 417, 97, 353, 225, 481, + 17, 273, 145, 401, 81, 337, 209, 465, + 49, 305, 177, 433, 113, 369, 241, 497, + 9, 265, 137, 393, 73, 329, 201, 457, + 41, 297, 169, 425, 105, 361, 233, 489, + 25, 281, 153, 409, 89, 345, 217, 473, + 57, 313, 185, 441, 121, 377, 249, 505, + 5, 261, 133, 389, 69, 325, 197, 453, + 37, 293, 165, 421, 101, 357, 229, 485, + 21, 277, 149, 405, 85, 341, 213, 469, + 53, 309, 181, 437, 117, 373, 245, 501, + 13, 269, 141, 397, 77, 333, 205, 461, + 45, 301, 173, 429, 109, 365, 237, 493, + 29, 285, 157, 413, 93, 349, 221, 477, + 61, 317, 189, 445, 125, 381, 253, 509, + 3, 259, 131, 387, 67, 323, 195, 451, + 35, 291, 163, 419, 99, 355, 227, 483, + 19, 275, 147, 403, 83, 339, 211, 467, + 51, 307, 179, 435, 115, 371, 243, 499, + 11, 267, 139, 395, 75, 331, 203, 459, + 43, 299, 171, 427, 107, 363, 235, 491, + 27, 283, 155, 411, 91, 347, 219, 475, + 59, 315, 187, 443, 123, 379, 251, 507, + 7, 1031, 519, 1543, 263, 1287, 775, 1799, + 135, 1159, 647, 1671, 391, 1415, 903, 1927, + 71, 1095, 583, 1607, 327, 1351, 839, 1863, + 199, 1223, 711, 1735, 455, 1479, 967, 1991, + 39, 1063, 551, 1575, 295, 1319, 807, 1831, + 167, 1191, 679, 1703, 423, 1447, 935, 1959, + 103, 1127, 615, 1639, 359, 1383, 871, 1895, + 231, 1255, 743, 1767, 487, 1511, 999, 2023, + 23, 1047, 535, 1559, 279, 1303, 791, 1815, + 151, 1175, 663, 1687, 407, 1431, 919, 1943, + 87, 1111, 599, 1623, 343, 1367, 855, 1879, + 215, 1239, 727, 1751, 471, 1495, 983, 2007, + 55, 1079, 567, 1591, 311, 1335, 823, 1847, + 183, 1207, 695, 1719, 439, 1463, 951, 1975, + 119, 1143, 631, 1655, 375, 1399, 887, 1911, + 247, 1271, 759, 1783, 503, 1527, 1015, 2039, + 15, 1039, 527, 1551, 271, 1295, 783, 1807, + 143, 1167, 655, 1679, 399, 1423, 911, 1935, + 79, 1103, 591, 1615, 335, 1359, 847, 1871, + 207, 1231, 719, 1743, 463, 1487, 975, 1999, + 47, 1071, 559, 1583, 303, 1327, 815, 1839, + 175, 1199, 687, 1711, 431, 1455, 943, 1967, + 111, 1135, 623, 1647, 367, 1391, 879, 1903, + 239, 1263, 751, 1775, 495, 1519, 1007, 2031, + 31, 1055, 543, 1567, 287, 1311, 799, 1823, + 159, 1183, 671, 1695, 415, 1439, 927, 1951, + 95, 1119, 607, 1631, 351, 1375, 863, 1887, + 223, 1247, 735, 1759, 479, 1503, 991, 2015, + 63, 1087, 575, 1599, 319, 1343, 831, 1855, + 191, 1215, 703, 1727, 447, 1471, 959, 1983, + 127, 1151, 639, 1663, 383, 1407, 895, 1919, + 255, 1279, 767, 1791, 511, 1535, 1023, 2047, +}; + +static BROTLI_INLINE void StoreStaticCommandHuffmanTree( + size_t* storage_ix, uint8_t* storage) { + BrotliWriteBits( + 56, BROTLI_MAKE_UINT64_T(0x926244U, 0x16307003U), storage_ix, storage); + BrotliWriteBits(3, 0x00000000U, storage_ix, storage); +} + +static const uint16_t kStaticDistanceCodeBits[64] = { + 0, 32, 16, 48, 8, 40, 24, 56, 4, 36, 20, 52, 12, 44, 28, 60, + 2, 34, 18, 50, 10, 42, 26, 58, 6, 38, 22, 54, 14, 46, 30, 62, + 1, 33, 17, 49, 9, 41, 25, 57, 5, 37, 21, 53, 13, 45, 29, 61, + 3, 35, 19, 51, 11, 43, 27, 59, 7, 39, 23, 55, 15, 47, 31, 63, +}; + +static BROTLI_INLINE void StoreStaticDistanceHuffmanTree( + size_t* storage_ix, uint8_t* storage) { + BrotliWriteBits(28, 0x0369DC03u, storage_ix, storage); +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_ENTROPY_ENCODE_STATIC_H_ */ diff --git a/modules/brotli/enc/fast_log.c b/modules/brotli/enc/fast_log.c new file mode 100644 index 0000000000..2319baeb74 --- /dev/null +++ b/modules/brotli/enc/fast_log.c @@ -0,0 +1,105 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +#include "./fast_log.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* ", ".join(["%.16ff" % x for x in [0.0]+[log2(x) for x in range(1, 256)]]) */ +const double kBrotliLog2Table[BROTLI_LOG2_TABLE_SIZE] = { + 0.0000000000000000f, 0.0000000000000000f, 1.0000000000000000f, + 1.5849625007211563f, 2.0000000000000000f, 2.3219280948873622f, + 2.5849625007211561f, 2.8073549220576042f, 3.0000000000000000f, + 3.1699250014423126f, 3.3219280948873626f, 3.4594316186372978f, + 3.5849625007211565f, 3.7004397181410922f, 3.8073549220576037f, + 3.9068905956085187f, 4.0000000000000000f, 4.0874628412503400f, + 4.1699250014423122f, 4.2479275134435852f, 4.3219280948873626f, + 4.3923174227787607f, 4.4594316186372973f, 4.5235619560570131f, + 4.5849625007211570f, 4.6438561897747244f, 4.7004397181410926f, + 4.7548875021634691f, 4.8073549220576037f, 4.8579809951275728f, + 4.9068905956085187f, 4.9541963103868758f, 5.0000000000000000f, + 5.0443941193584534f, 5.0874628412503400f, 5.1292830169449664f, + 5.1699250014423122f, 5.2094533656289501f, 5.2479275134435852f, + 5.2854022188622487f, 5.3219280948873626f, 5.3575520046180838f, + 5.3923174227787607f, 5.4262647547020979f, 5.4594316186372973f, + 5.4918530963296748f, 5.5235619560570131f, 5.5545888516776376f, + 5.5849625007211570f, 5.6147098441152083f, 5.6438561897747244f, + 5.6724253419714961f, 5.7004397181410926f, 5.7279204545631996f, + 5.7548875021634691f, 5.7813597135246599f, 5.8073549220576046f, + 5.8328900141647422f, 5.8579809951275719f, 5.8826430493618416f, + 5.9068905956085187f, 5.9307373375628867f, 5.9541963103868758f, + 5.9772799234999168f, 6.0000000000000000f, 6.0223678130284544f, + 6.0443941193584534f, 6.0660891904577721f, 6.0874628412503400f, + 6.1085244567781700f, 6.1292830169449672f, 6.1497471195046822f, + 6.1699250014423122f, 6.1898245588800176f, 6.2094533656289510f, + 6.2288186904958804f, 6.2479275134435861f, 6.2667865406949019f, + 6.2854022188622487f, 6.3037807481771031f, 6.3219280948873617f, + 6.3398500028846252f, 6.3575520046180847f, 6.3750394313469254f, + 6.3923174227787598f, 6.4093909361377026f, 6.4262647547020979f, + 6.4429434958487288f, 6.4594316186372982f, 6.4757334309663976f, + 6.4918530963296748f, 6.5077946401986964f, 6.5235619560570131f, + 6.5391588111080319f, 6.5545888516776376f, 6.5698556083309478f, + 6.5849625007211561f, 6.5999128421871278f, 6.6147098441152092f, + 6.6293566200796095f, 6.6438561897747253f, 6.6582114827517955f, + 6.6724253419714952f, 6.6865005271832185f, 6.7004397181410917f, + 6.7142455176661224f, 6.7279204545631988f, 6.7414669864011465f, + 6.7548875021634691f, 6.7681843247769260f, 6.7813597135246599f, + 6.7944158663501062f, 6.8073549220576037f, 6.8201789624151887f, + 6.8328900141647422f, 6.8454900509443757f, 6.8579809951275719f, + 6.8703647195834048f, 6.8826430493618416f, 6.8948177633079437f, + 6.9068905956085187f, 6.9188632372745955f, 6.9307373375628867f, + 6.9425145053392399f, 6.9541963103868758f, 6.9657842846620879f, + 6.9772799234999168f, 6.9886846867721664f, 7.0000000000000000f, + 7.0112272554232540f, 7.0223678130284544f, 7.0334230015374501f, + 7.0443941193584534f, 7.0552824355011898f, 7.0660891904577721f, + 7.0768155970508317f, 7.0874628412503400f, 7.0980320829605272f, + 7.1085244567781700f, 7.1189410727235076f, 7.1292830169449664f, + 7.1395513523987937f, 7.1497471195046822f, 7.1598713367783891f, + 7.1699250014423130f, 7.1799090900149345f, 7.1898245588800176f, + 7.1996723448363644f, 7.2094533656289492f, 7.2191685204621621f, + 7.2288186904958804f, 7.2384047393250794f, 7.2479275134435861f, + 7.2573878426926521f, 7.2667865406949019f, 7.2761244052742384f, + 7.2854022188622487f, 7.2946207488916270f, 7.3037807481771031f, + 7.3128829552843557f, 7.3219280948873617f, 7.3309168781146177f, + 7.3398500028846243f, 7.3487281542310781f, 7.3575520046180847f, + 7.3663222142458151f, 7.3750394313469254f, 7.3837042924740528f, + 7.3923174227787607f, 7.4008794362821844f, 7.4093909361377026f, + 7.4178525148858991f, 7.4262647547020979f, 7.4346282276367255f, + 7.4429434958487288f, 7.4512111118323299f, 7.4594316186372973f, + 7.4676055500829976f, 7.4757334309663976f, 7.4838157772642564f, + 7.4918530963296748f, 7.4998458870832057f, 7.5077946401986964f, + 7.5156998382840436f, 7.5235619560570131f, 7.5313814605163119f, + 7.5391588111080319f, 7.5468944598876373f, 7.5545888516776376f, + 7.5622424242210728f, 7.5698556083309478f, 7.5774288280357487f, + 7.5849625007211561f, 7.5924570372680806f, 7.5999128421871278f, + 7.6073303137496113f, 7.6147098441152075f, 7.6220518194563764f, + 7.6293566200796095f, 7.6366246205436488f, 7.6438561897747244f, + 7.6510516911789290f, 7.6582114827517955f, 7.6653359171851765f, + 7.6724253419714952f, 7.6794800995054464f, 7.6865005271832185f, + 7.6934869574993252f, 7.7004397181410926f, 7.7073591320808825f, + 7.7142455176661224f, 7.7210991887071856f, 7.7279204545631996f, + 7.7347096202258392f, 7.7414669864011465f, 7.7481928495894596f, + 7.7548875021634691f, 7.7615512324444795f, 7.7681843247769260f, + 7.7747870596011737f, 7.7813597135246608f, 7.7879025593914317f, + 7.7944158663501062f, 7.8008998999203047f, 7.8073549220576037f, + 7.8137811912170374f, 7.8201789624151887f, 7.8265484872909159f, + 7.8328900141647422f, 7.8392037880969445f, 7.8454900509443757f, + 7.8517490414160571f, 7.8579809951275719f, 7.8641861446542798f, + 7.8703647195834048f, 7.8765169465650002f, 7.8826430493618425f, + 7.8887432488982601f, 7.8948177633079446f, 7.9008668079807496f, + 7.9068905956085187f, 7.9128893362299619f, 7.9188632372745955f, + 7.9248125036057813f, 7.9307373375628867f, 7.9366379390025719f, + 7.9425145053392399f, 7.9483672315846778f, 7.9541963103868758f, + 7.9600019320680806f, 7.9657842846620870f, 7.9715435539507720f, + 7.9772799234999168f, 7.9829935746943104f, 7.9886846867721664f, + 7.9943534368588578f +}; + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/fast_log.h b/modules/brotli/enc/fast_log.h new file mode 100644 index 0000000000..2094f13e55 --- /dev/null +++ b/modules/brotli/enc/fast_log.h @@ -0,0 +1,66 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Utilities for fast computation of logarithms. */ + +#ifndef BROTLI_ENC_FAST_LOG_H_ +#define BROTLI_ENC_FAST_LOG_H_ + +#include <math.h> + +#include "../common/platform.h" +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +static BROTLI_INLINE uint32_t Log2FloorNonZero(size_t n) { +#if defined(BROTLI_BSR32) + return BROTLI_BSR32((uint32_t)n); +#else + uint32_t result = 0; + while (n >>= 1) result++; + return result; +#endif +} + +#define BROTLI_LOG2_TABLE_SIZE 256 + +/* A lookup table for small values of log2(int) to be used in entropy + computation. */ +BROTLI_INTERNAL extern const double kBrotliLog2Table[BROTLI_LOG2_TABLE_SIZE]; + +/* Visual Studio 2012 and Android API levels < 18 do not have the log2() + * function defined, so we use log() and a multiplication instead. */ +#if !defined(BROTLI_HAVE_LOG2) +#if ((defined(_MSC_VER) && _MSC_VER <= 1700) || \ + (defined(__ANDROID_API__) && __ANDROID_API__ < 18)) +#define BROTLI_HAVE_LOG2 0 +#else +#define BROTLI_HAVE_LOG2 1 +#endif +#endif + +#define LOG_2_INV 1.4426950408889634 + +/* Faster logarithm for small integers, with the property of log2(0) == 0. */ +static BROTLI_INLINE double FastLog2(size_t v) { + if (v < BROTLI_LOG2_TABLE_SIZE) { + return kBrotliLog2Table[v]; + } +#if !(BROTLI_HAVE_LOG2) + return log((double)v) * LOG_2_INV; +#else + return log2((double)v); +#endif +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_FAST_LOG_H_ */ diff --git a/modules/brotli/enc/find_match_length.h b/modules/brotli/enc/find_match_length.h new file mode 100644 index 0000000000..f8853a70fb --- /dev/null +++ b/modules/brotli/enc/find_match_length.h @@ -0,0 +1,79 @@ +/* Copyright 2010 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Function to find maximal matching prefixes of strings. */ + +#ifndef BROTLI_ENC_FIND_MATCH_LENGTH_H_ +#define BROTLI_ENC_FIND_MATCH_LENGTH_H_ + +#include "../common/platform.h" +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* Separate implementation for little-endian 64-bit targets, for speed. */ +#if defined(BROTLI_TZCNT64) && BROTLI_64_BITS && BROTLI_LITTLE_ENDIAN +static BROTLI_INLINE size_t FindMatchLengthWithLimit(const uint8_t* s1, + const uint8_t* s2, + size_t limit) { + size_t matched = 0; + size_t limit2 = (limit >> 3) + 1; /* + 1 is for pre-decrement in while */ + while (BROTLI_PREDICT_TRUE(--limit2)) { + if (BROTLI_PREDICT_FALSE(BROTLI_UNALIGNED_LOAD64LE(s2) == + BROTLI_UNALIGNED_LOAD64LE(s1 + matched))) { + s2 += 8; + matched += 8; + } else { + uint64_t x = BROTLI_UNALIGNED_LOAD64LE(s2) ^ + BROTLI_UNALIGNED_LOAD64LE(s1 + matched); + size_t matching_bits = (size_t)BROTLI_TZCNT64(x); + matched += matching_bits >> 3; + return matched; + } + } + limit = (limit & 7) + 1; /* + 1 is for pre-decrement in while */ + while (--limit) { + if (BROTLI_PREDICT_TRUE(s1[matched] == *s2)) { + ++s2; + ++matched; + } else { + return matched; + } + } + return matched; +} +#else +static BROTLI_INLINE size_t FindMatchLengthWithLimit(const uint8_t* s1, + const uint8_t* s2, + size_t limit) { + size_t matched = 0; + const uint8_t* s2_limit = s2 + limit; + const uint8_t* s2_ptr = s2; + /* Find out how long the match is. We loop over the data 32 bits at a + time until we find a 32-bit block that doesn't match; then we find + the first non-matching bit and use that to calculate the total + length of the match. */ + while (s2_ptr <= s2_limit - 4 && + BrotliUnalignedRead32(s2_ptr) == + BrotliUnalignedRead32(s1 + matched)) { + s2_ptr += 4; + matched += 4; + } + while ((s2_ptr < s2_limit) && (s1[matched] == *s2_ptr)) { + ++s2_ptr; + ++matched; + } + return matched; +} +#endif + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_FIND_MATCH_LENGTH_H_ */ diff --git a/modules/brotli/enc/hash.h b/modules/brotli/enc/hash.h new file mode 100644 index 0000000000..6362f69b9f --- /dev/null +++ b/modules/brotli/enc/hash.h @@ -0,0 +1,488 @@ +/* Copyright 2010 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* A (forgetful) hash table to the data seen by the compressor, to + help create backward references to previous data. */ + +#ifndef BROTLI_ENC_HASH_H_ +#define BROTLI_ENC_HASH_H_ + +#include <string.h> /* memcmp, memset */ + +#include "../common/constants.h" +#include "../common/dictionary.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./encoder_dict.h" +#include "./fast_log.h" +#include "./find_match_length.h" +#include "./memory.h" +#include "./quality.h" +#include "./static_dict.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +typedef struct { + /* Dynamically allocated area; first member for quickest access. */ + void* extra; + + size_t dict_num_lookups; + size_t dict_num_matches; + + BrotliHasherParams params; + + /* False if hasher needs to be "prepared" before use. */ + BROTLI_BOOL is_prepared_; +} HasherCommon; + +#define score_t size_t + +static const uint32_t kCutoffTransformsCount = 10; +/* 0, 12, 27, 23, 42, 63, 56, 48, 59, 64 */ +/* 0+0, 4+8, 8+19, 12+11, 16+26, 20+43, 24+32, 28+20, 32+27, 36+28 */ +static const uint64_t kCutoffTransforms = + BROTLI_MAKE_UINT64_T(0x071B520A, 0xDA2D3200); + +typedef struct HasherSearchResult { + size_t len; + size_t distance; + score_t score; + int len_code_delta; /* == len_code - len */ +} HasherSearchResult; + +/* kHashMul32 multiplier has these properties: + * The multiplier must be odd. Otherwise we may lose the highest bit. + * No long streaks of ones or zeros. + * There is no effort to ensure that it is a prime, the oddity is enough + for this use. + * The number has been tuned heuristically against compression benchmarks. */ +static const uint32_t kHashMul32 = 0x1E35A7BD; +static const uint64_t kHashMul64 = BROTLI_MAKE_UINT64_T(0x1E35A7BD, 0x1E35A7BD); +static const uint64_t kHashMul64Long = + BROTLI_MAKE_UINT64_T(0x1FE35A7Bu, 0xD3579BD3u); + +static BROTLI_INLINE uint32_t Hash14(const uint8_t* data) { + uint32_t h = BROTLI_UNALIGNED_LOAD32LE(data) * kHashMul32; + /* The higher bits contain more mixture from the multiplication, + so we take our results from there. */ + return h >> (32 - 14); +} + +static BROTLI_INLINE void PrepareDistanceCache( + int* BROTLI_RESTRICT distance_cache, const int num_distances) { + if (num_distances > 4) { + int last_distance = distance_cache[0]; + distance_cache[4] = last_distance - 1; + distance_cache[5] = last_distance + 1; + distance_cache[6] = last_distance - 2; + distance_cache[7] = last_distance + 2; + distance_cache[8] = last_distance - 3; + distance_cache[9] = last_distance + 3; + if (num_distances > 10) { + int next_last_distance = distance_cache[1]; + distance_cache[10] = next_last_distance - 1; + distance_cache[11] = next_last_distance + 1; + distance_cache[12] = next_last_distance - 2; + distance_cache[13] = next_last_distance + 2; + distance_cache[14] = next_last_distance - 3; + distance_cache[15] = next_last_distance + 3; + } + } +} + +#define BROTLI_LITERAL_BYTE_SCORE 135 +#define BROTLI_DISTANCE_BIT_PENALTY 30 +/* Score must be positive after applying maximal penalty. */ +#define BROTLI_SCORE_BASE (BROTLI_DISTANCE_BIT_PENALTY * 8 * sizeof(size_t)) + +/* Usually, we always choose the longest backward reference. This function + allows for the exception of that rule. + + If we choose a backward reference that is further away, it will + usually be coded with more bits. We approximate this by assuming + log2(distance). If the distance can be expressed in terms of the + last four distances, we use some heuristic constants to estimate + the bits cost. For the first up to four literals we use the bit + cost of the literals from the literal cost model, after that we + use the average bit cost of the cost model. + + This function is used to sometimes discard a longer backward reference + when it is not much longer and the bit cost for encoding it is more + than the saved literals. + + backward_reference_offset MUST be positive. */ +static BROTLI_INLINE score_t BackwardReferenceScore( + size_t copy_length, size_t backward_reference_offset) { + return BROTLI_SCORE_BASE + BROTLI_LITERAL_BYTE_SCORE * (score_t)copy_length - + BROTLI_DISTANCE_BIT_PENALTY * Log2FloorNonZero(backward_reference_offset); +} + +static BROTLI_INLINE score_t BackwardReferenceScoreUsingLastDistance( + size_t copy_length) { + return BROTLI_LITERAL_BYTE_SCORE * (score_t)copy_length + + BROTLI_SCORE_BASE + 15; +} + +static BROTLI_INLINE score_t BackwardReferencePenaltyUsingLastDistance( + size_t distance_short_code) { + return (score_t)39 + ((0x1CA10 >> (distance_short_code & 0xE)) & 0xE); +} + +static BROTLI_INLINE BROTLI_BOOL TestStaticDictionaryItem( + const BrotliEncoderDictionary* dictionary, size_t len, size_t word_idx, + const uint8_t* data, size_t max_length, size_t max_backward, + size_t max_distance, HasherSearchResult* out) { + size_t offset; + size_t matchlen; + size_t backward; + score_t score; + offset = dictionary->words->offsets_by_length[len] + len * word_idx; + if (len > max_length) { + return BROTLI_FALSE; + } + + matchlen = + FindMatchLengthWithLimit(data, &dictionary->words->data[offset], len); + if (matchlen + dictionary->cutoffTransformsCount <= len || matchlen == 0) { + return BROTLI_FALSE; + } + { + size_t cut = len - matchlen; + size_t transform_id = (cut << 2) + + (size_t)((dictionary->cutoffTransforms >> (cut * 6)) & 0x3F); + backward = max_backward + 1 + word_idx + + (transform_id << dictionary->words->size_bits_by_length[len]); + } + if (backward > max_distance) { + return BROTLI_FALSE; + } + score = BackwardReferenceScore(matchlen, backward); + if (score < out->score) { + return BROTLI_FALSE; + } + out->len = matchlen; + out->len_code_delta = (int)len - (int)matchlen; + out->distance = backward; + out->score = score; + return BROTLI_TRUE; +} + +static BROTLI_INLINE void SearchInStaticDictionary( + const BrotliEncoderDictionary* dictionary, + HasherCommon* common, const uint8_t* data, size_t max_length, + size_t max_backward, size_t max_distance, + HasherSearchResult* out, BROTLI_BOOL shallow) { + size_t key; + size_t i; + if (common->dict_num_matches < (common->dict_num_lookups >> 7)) { + return; + } + key = Hash14(data) << 1; + for (i = 0; i < (shallow ? 1u : 2u); ++i, ++key) { + common->dict_num_lookups++; + if (dictionary->hash_table_lengths[key] != 0) { + BROTLI_BOOL item_matches = TestStaticDictionaryItem( + dictionary, dictionary->hash_table_lengths[key], + dictionary->hash_table_words[key], data, + max_length, max_backward, max_distance, out); + if (item_matches) { + common->dict_num_matches++; + } + } + } +} + +typedef struct BackwardMatch { + uint32_t distance; + uint32_t length_and_code; +} BackwardMatch; + +static BROTLI_INLINE void InitBackwardMatch(BackwardMatch* self, + size_t dist, size_t len) { + self->distance = (uint32_t)dist; + self->length_and_code = (uint32_t)(len << 5); +} + +static BROTLI_INLINE void InitDictionaryBackwardMatch(BackwardMatch* self, + size_t dist, size_t len, size_t len_code) { + self->distance = (uint32_t)dist; + self->length_and_code = + (uint32_t)((len << 5) | (len == len_code ? 0 : len_code)); +} + +static BROTLI_INLINE size_t BackwardMatchLength(const BackwardMatch* self) { + return self->length_and_code >> 5; +} + +static BROTLI_INLINE size_t BackwardMatchLengthCode(const BackwardMatch* self) { + size_t code = self->length_and_code & 31; + return code ? code : BackwardMatchLength(self); +} + +#define EXPAND_CAT(a, b) CAT(a, b) +#define CAT(a, b) a ## b +#define FN(X) EXPAND_CAT(X, HASHER()) + +#define HASHER() H10 +#define BUCKET_BITS 17 +#define MAX_TREE_SEARCH_DEPTH 64 +#define MAX_TREE_COMP_LENGTH 128 +#include "./hash_to_binary_tree_inc.h" /* NOLINT(build/include) */ +#undef MAX_TREE_SEARCH_DEPTH +#undef MAX_TREE_COMP_LENGTH +#undef BUCKET_BITS +#undef HASHER +/* MAX_NUM_MATCHES == 64 + MAX_TREE_SEARCH_DEPTH */ +#define MAX_NUM_MATCHES_H10 128 + +/* For BUCKET_SWEEP_BITS == 0, enabling the dictionary lookup makes compression + a little faster (0.5% - 1%) and it compresses 0.15% better on small text + and HTML inputs. */ + +#define HASHER() H2 +#define BUCKET_BITS 16 +#define BUCKET_SWEEP_BITS 0 +#define HASH_LEN 5 +#define USE_DICTIONARY 1 +#include "./hash_longest_match_quickly_inc.h" /* NOLINT(build/include) */ +#undef BUCKET_SWEEP_BITS +#undef USE_DICTIONARY +#undef HASHER + +#define HASHER() H3 +#define BUCKET_SWEEP_BITS 1 +#define USE_DICTIONARY 0 +#include "./hash_longest_match_quickly_inc.h" /* NOLINT(build/include) */ +#undef USE_DICTIONARY +#undef BUCKET_SWEEP_BITS +#undef BUCKET_BITS +#undef HASHER + +#define HASHER() H4 +#define BUCKET_BITS 17 +#define BUCKET_SWEEP_BITS 2 +#define USE_DICTIONARY 1 +#include "./hash_longest_match_quickly_inc.h" /* NOLINT(build/include) */ +#undef USE_DICTIONARY +#undef HASH_LEN +#undef BUCKET_SWEEP_BITS +#undef BUCKET_BITS +#undef HASHER + +#define HASHER() H5 +#include "./hash_longest_match_inc.h" /* NOLINT(build/include) */ +#undef HASHER + +#define HASHER() H6 +#include "./hash_longest_match64_inc.h" /* NOLINT(build/include) */ +#undef HASHER + +#define BUCKET_BITS 15 + +#define NUM_LAST_DISTANCES_TO_CHECK 4 +#define NUM_BANKS 1 +#define BANK_BITS 16 +#define HASHER() H40 +#include "./hash_forgetful_chain_inc.h" /* NOLINT(build/include) */ +#undef HASHER +#undef NUM_LAST_DISTANCES_TO_CHECK + +#define NUM_LAST_DISTANCES_TO_CHECK 10 +#define HASHER() H41 +#include "./hash_forgetful_chain_inc.h" /* NOLINT(build/include) */ +#undef HASHER +#undef NUM_LAST_DISTANCES_TO_CHECK +#undef NUM_BANKS +#undef BANK_BITS + +#define NUM_LAST_DISTANCES_TO_CHECK 16 +#define NUM_BANKS 512 +#define BANK_BITS 9 +#define HASHER() H42 +#include "./hash_forgetful_chain_inc.h" /* NOLINT(build/include) */ +#undef HASHER +#undef NUM_LAST_DISTANCES_TO_CHECK +#undef NUM_BANKS +#undef BANK_BITS + +#undef BUCKET_BITS + +#define HASHER() H54 +#define BUCKET_BITS 20 +#define BUCKET_SWEEP_BITS 2 +#define HASH_LEN 7 +#define USE_DICTIONARY 0 +#include "./hash_longest_match_quickly_inc.h" /* NOLINT(build/include) */ +#undef USE_DICTIONARY +#undef HASH_LEN +#undef BUCKET_SWEEP_BITS +#undef BUCKET_BITS +#undef HASHER + +/* fast large window hashers */ + +#define HASHER() HROLLING_FAST +#define CHUNKLEN 32 +#define JUMP 4 +#define NUMBUCKETS 16777216 +#define MASK ((NUMBUCKETS * 64) - 1) +#include "./hash_rolling_inc.h" /* NOLINT(build/include) */ +#undef JUMP +#undef HASHER + + +#define HASHER() HROLLING +#define JUMP 1 +#include "./hash_rolling_inc.h" /* NOLINT(build/include) */ +#undef MASK +#undef NUMBUCKETS +#undef JUMP +#undef CHUNKLEN +#undef HASHER + +#define HASHER() H35 +#define HASHER_A H3 +#define HASHER_B HROLLING_FAST +#include "./hash_composite_inc.h" /* NOLINT(build/include) */ +#undef HASHER_A +#undef HASHER_B +#undef HASHER + +#define HASHER() H55 +#define HASHER_A H54 +#define HASHER_B HROLLING_FAST +#include "./hash_composite_inc.h" /* NOLINT(build/include) */ +#undef HASHER_A +#undef HASHER_B +#undef HASHER + +#define HASHER() H65 +#define HASHER_A H6 +#define HASHER_B HROLLING +#include "./hash_composite_inc.h" /* NOLINT(build/include) */ +#undef HASHER_A +#undef HASHER_B +#undef HASHER + +#undef FN +#undef CAT +#undef EXPAND_CAT + +#define FOR_SIMPLE_HASHERS(H) H(2) H(3) H(4) H(5) H(6) H(40) H(41) H(42) H(54) +#define FOR_COMPOSITE_HASHERS(H) H(35) H(55) H(65) +#define FOR_GENERIC_HASHERS(H) FOR_SIMPLE_HASHERS(H) FOR_COMPOSITE_HASHERS(H) +#define FOR_ALL_HASHERS(H) FOR_GENERIC_HASHERS(H) H(10) + +typedef struct { + HasherCommon common; + + union { +#define MEMBER_(N) \ + H ## N _H ## N; + FOR_ALL_HASHERS(MEMBER_) +#undef MEMBER_ + } privat; +} Hasher; + +/* MUST be invoked before any other method. */ +static BROTLI_INLINE void HasherInit(Hasher* hasher) { + hasher->common.extra = NULL; +} + +static BROTLI_INLINE void DestroyHasher(MemoryManager* m, Hasher* hasher) { + if (hasher->common.extra == NULL) return; + BROTLI_FREE(m, hasher->common.extra); +} + +static BROTLI_INLINE void HasherReset(Hasher* hasher) { + hasher->common.is_prepared_ = BROTLI_FALSE; +} + +static BROTLI_INLINE size_t HasherSize(const BrotliEncoderParams* params, + BROTLI_BOOL one_shot, const size_t input_size) { + switch (params->hasher.type) { +#define SIZE_(N) \ + case N: \ + return HashMemAllocInBytesH ## N(params, one_shot, input_size); + FOR_ALL_HASHERS(SIZE_) +#undef SIZE_ + default: + break; + } + return 0; /* Default case. */ +} + +static BROTLI_INLINE void HasherSetup(MemoryManager* m, Hasher* hasher, + BrotliEncoderParams* params, const uint8_t* data, size_t position, + size_t input_size, BROTLI_BOOL is_last) { + BROTLI_BOOL one_shot = (position == 0 && is_last); + if (hasher->common.extra == NULL) { + size_t alloc_size; + ChooseHasher(params, ¶ms->hasher); + alloc_size = HasherSize(params, one_shot, input_size); + hasher->common.extra = BROTLI_ALLOC(m, uint8_t, alloc_size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(hasher->common.extra)) return; + hasher->common.params = params->hasher; + switch (hasher->common.params.type) { +#define INITIALIZE_(N) \ + case N: \ + InitializeH ## N(&hasher->common, \ + &hasher->privat._H ## N, params); \ + break; + FOR_ALL_HASHERS(INITIALIZE_); +#undef INITIALIZE_ + default: + break; + } + HasherReset(hasher); + } + + if (!hasher->common.is_prepared_) { + switch (hasher->common.params.type) { +#define PREPARE_(N) \ + case N: \ + PrepareH ## N( \ + &hasher->privat._H ## N, \ + one_shot, input_size, data); \ + break; + FOR_ALL_HASHERS(PREPARE_) +#undef PREPARE_ + default: break; + } + if (position == 0) { + hasher->common.dict_num_lookups = 0; + hasher->common.dict_num_matches = 0; + } + hasher->common.is_prepared_ = BROTLI_TRUE; + } +} + +static BROTLI_INLINE void InitOrStitchToPreviousBlock( + MemoryManager* m, Hasher* hasher, const uint8_t* data, size_t mask, + BrotliEncoderParams* params, size_t position, size_t input_size, + BROTLI_BOOL is_last) { + HasherSetup(m, hasher, params, data, position, input_size, is_last); + if (BROTLI_IS_OOM(m)) return; + switch (hasher->common.params.type) { +#define INIT_(N) \ + case N: \ + StitchToPreviousBlockH ## N( \ + &hasher->privat._H ## N, \ + input_size, position, data, mask); \ + break; + FOR_ALL_HASHERS(INIT_) +#undef INIT_ + default: break; + } +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_HASH_H_ */ diff --git a/modules/brotli/enc/hash_composite_inc.h b/modules/brotli/enc/hash_composite_inc.h new file mode 100644 index 0000000000..cba156c0e2 --- /dev/null +++ b/modules/brotli/enc/hash_composite_inc.h @@ -0,0 +1,125 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2018 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: FN, HASHER_A, HASHER_B */ + +/* Composite hasher: This hasher allows to combine two other hashers, HASHER_A + and HASHER_B. */ + +#define HashComposite HASHER() + +#define FN_A(X) EXPAND_CAT(X, HASHER_A) +#define FN_B(X) EXPAND_CAT(X, HASHER_B) + +static BROTLI_INLINE size_t FN(HashTypeLength)(void) { + size_t a = FN_A(HashTypeLength)(); + size_t b = FN_B(HashTypeLength)(); + return a > b ? a : b; +} + +static BROTLI_INLINE size_t FN(StoreLookahead)(void) { + size_t a = FN_A(StoreLookahead)(); + size_t b = FN_B(StoreLookahead)(); + return a > b ? a : b; +} + +typedef struct HashComposite { + HASHER_A ha; + HASHER_B hb; + HasherCommon hb_common; + + /* Shortcuts. */ + void* extra; + HasherCommon* common; + + BROTLI_BOOL fresh; + const BrotliEncoderParams* params; +} HashComposite; + +static void FN(Initialize)(HasherCommon* common, + HashComposite* BROTLI_RESTRICT self, const BrotliEncoderParams* params) { + self->common = common; + self->extra = common->extra; + + self->hb_common = *self->common; + self->fresh = BROTLI_TRUE; + self->params = params; + /* TODO: Initialize of the hashers is defered to Prepare (and params + remembered here) because we don't get the one_shot and input_size params + here that are needed to know the memory size of them. Instead provide + those params to all hashers FN(Initialize) */ +} + +static void FN(Prepare)( + HashComposite* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, + size_t input_size, const uint8_t* BROTLI_RESTRICT data) { + if (self->fresh) { + self->fresh = BROTLI_FALSE; + self->hb_common.extra = (uint8_t*)self->extra + + FN_A(HashMemAllocInBytes)(self->params, one_shot, input_size); + + FN_A(Initialize)(self->common, &self->ha, self->params); + FN_B(Initialize)(&self->hb_common, &self->hb, self->params); + } + FN_A(Prepare)(&self->ha, one_shot, input_size, data); + FN_B(Prepare)(&self->hb, one_shot, input_size, data); +} + +static BROTLI_INLINE size_t FN(HashMemAllocInBytes)( + const BrotliEncoderParams* params, BROTLI_BOOL one_shot, + size_t input_size) { + return FN_A(HashMemAllocInBytes)(params, one_shot, input_size) + + FN_B(HashMemAllocInBytes)(params, one_shot, input_size); +} + +static BROTLI_INLINE void FN(Store)(HashComposite* BROTLI_RESTRICT self, + const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix) { + FN_A(Store)(&self->ha, data, mask, ix); + FN_B(Store)(&self->hb, data, mask, ix); +} + +static BROTLI_INLINE void FN(StoreRange)( + HashComposite* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, + const size_t mask, const size_t ix_start, + const size_t ix_end) { + FN_A(StoreRange)(&self->ha, data, mask, ix_start, ix_end); + FN_B(StoreRange)(&self->hb, data, mask, ix_start, ix_end); +} + +static BROTLI_INLINE void FN(StitchToPreviousBlock)( + HashComposite* BROTLI_RESTRICT self, + size_t num_bytes, size_t position, const uint8_t* ringbuffer, + size_t ring_buffer_mask) { + FN_A(StitchToPreviousBlock)(&self->ha, num_bytes, position, + ringbuffer, ring_buffer_mask); + FN_B(StitchToPreviousBlock)(&self->hb, num_bytes, position, + ringbuffer, ring_buffer_mask); +} + +static BROTLI_INLINE void FN(PrepareDistanceCache)( + HashComposite* BROTLI_RESTRICT self, int* BROTLI_RESTRICT distance_cache) { + FN_A(PrepareDistanceCache)(&self->ha, distance_cache); + FN_B(PrepareDistanceCache)(&self->hb, distance_cache); +} + +static BROTLI_INLINE void FN(FindLongestMatch)( + HashComposite* BROTLI_RESTRICT self, + const BrotliEncoderDictionary* dictionary, + const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, + const int* BROTLI_RESTRICT distance_cache, const size_t cur_ix, + const size_t max_length, const size_t max_backward, + const size_t dictionary_distance, const size_t max_distance, + HasherSearchResult* BROTLI_RESTRICT out) { + FN_A(FindLongestMatch)(&self->ha, dictionary, data, ring_buffer_mask, + distance_cache, cur_ix, max_length, max_backward, dictionary_distance, + max_distance, out); + FN_B(FindLongestMatch)(&self->hb, dictionary, data, ring_buffer_mask, + distance_cache, cur_ix, max_length, max_backward, dictionary_distance, + max_distance, out); +} + +#undef HashComposite diff --git a/modules/brotli/enc/hash_forgetful_chain_inc.h b/modules/brotli/enc/hash_forgetful_chain_inc.h new file mode 100644 index 0000000000..bfae6ba6a2 --- /dev/null +++ b/modules/brotli/enc/hash_forgetful_chain_inc.h @@ -0,0 +1,293 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2016 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: FN, BUCKET_BITS, NUM_BANKS, BANK_BITS, + NUM_LAST_DISTANCES_TO_CHECK */ + +/* A (forgetful) hash table to the data seen by the compressor, to + help create backward references to previous data. + + Hashes are stored in chains which are bucketed to groups. Group of chains + share a storage "bank". When more than "bank size" chain nodes are added, + oldest nodes are replaced; this way several chains may share a tail. */ + +#define HashForgetfulChain HASHER() + +#define BANK_SIZE (1 << BANK_BITS) + +/* Number of hash buckets. */ +#define BUCKET_SIZE (1 << BUCKET_BITS) + +#define CAPPED_CHAINS 0 + +static BROTLI_INLINE size_t FN(HashTypeLength)(void) { return 4; } +static BROTLI_INLINE size_t FN(StoreLookahead)(void) { return 4; } + +/* HashBytes is the function that chooses the bucket to place the address in.*/ +static BROTLI_INLINE size_t FN(HashBytes)(const uint8_t* BROTLI_RESTRICT data) { + const uint32_t h = BROTLI_UNALIGNED_LOAD32LE(data) * kHashMul32; + /* The higher bits contain more mixture from the multiplication, + so we take our results from there. */ + return h >> (32 - BUCKET_BITS); +} + +typedef struct FN(Slot) { + uint16_t delta; + uint16_t next; +} FN(Slot); + +typedef struct FN(Bank) { + FN(Slot) slots[BANK_SIZE]; +} FN(Bank); + +typedef struct HashForgetfulChain { + uint16_t free_slot_idx[NUM_BANKS]; /* Up to 1KiB. Move to dynamic? */ + size_t max_hops; + + /* Shortcuts. */ + void* extra; + HasherCommon* common; + + /* --- Dynamic size members --- */ + + /* uint32_t addr[BUCKET_SIZE]; */ + + /* uint16_t head[BUCKET_SIZE]; */ + + /* Truncated hash used for quick rejection of "distance cache" candidates. */ + /* uint8_t tiny_hash[65536];*/ + + /* FN(Bank) banks[NUM_BANKS]; */ +} HashForgetfulChain; + +static uint32_t* FN(Addr)(void* extra) { + return (uint32_t*)extra; +} + +static uint16_t* FN(Head)(void* extra) { + return (uint16_t*)(&FN(Addr)(extra)[BUCKET_SIZE]); +} + +static uint8_t* FN(TinyHash)(void* extra) { + return (uint8_t*)(&FN(Head)(extra)[BUCKET_SIZE]); +} + +static FN(Bank)* FN(Banks)(void* extra) { + return (FN(Bank)*)(&FN(TinyHash)(extra)[65536]); +} + +static void FN(Initialize)( + HasherCommon* common, HashForgetfulChain* BROTLI_RESTRICT self, + const BrotliEncoderParams* params) { + self->common = common; + self->extra = common->extra; + + self->max_hops = (params->quality > 6 ? 7u : 8u) << (params->quality - 4); +} + +static void FN(Prepare)( + HashForgetfulChain* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, + size_t input_size, const uint8_t* BROTLI_RESTRICT data) { + uint32_t* BROTLI_RESTRICT addr = FN(Addr)(self->extra); + uint16_t* BROTLI_RESTRICT head = FN(Head)(self->extra); + uint8_t* BROTLI_RESTRICT tiny_hash = FN(TinyHash)(self->extra); + /* Partial preparation is 100 times slower (per socket). */ + size_t partial_prepare_threshold = BUCKET_SIZE >> 6; + if (one_shot && input_size <= partial_prepare_threshold) { + size_t i; + for (i = 0; i < input_size; ++i) { + size_t bucket = FN(HashBytes)(&data[i]); + /* See InitEmpty comment. */ + addr[bucket] = 0xCCCCCCCC; + head[bucket] = 0xCCCC; + } + } else { + /* Fill |addr| array with 0xCCCCCCCC value. Because of wrapping, position + processed by hasher never reaches 3GB + 64M; this makes all new chains + to be terminated after the first node. */ + memset(addr, 0xCC, sizeof(uint32_t) * BUCKET_SIZE); + memset(head, 0, sizeof(uint16_t) * BUCKET_SIZE); + } + memset(tiny_hash, 0, sizeof(uint8_t) * 65536); + memset(self->free_slot_idx, 0, sizeof(self->free_slot_idx)); +} + +static BROTLI_INLINE size_t FN(HashMemAllocInBytes)( + const BrotliEncoderParams* params, BROTLI_BOOL one_shot, + size_t input_size) { + BROTLI_UNUSED(params); + BROTLI_UNUSED(one_shot); + BROTLI_UNUSED(input_size); + return sizeof(uint32_t) * BUCKET_SIZE + sizeof(uint16_t) * BUCKET_SIZE + + sizeof(uint8_t) * 65536 + sizeof(FN(Bank)) * NUM_BANKS; +} + +/* Look at 4 bytes at &data[ix & mask]. Compute a hash from these, and prepend + node to corresponding chain; also update tiny_hash for current position. */ +static BROTLI_INLINE void FN(Store)(HashForgetfulChain* BROTLI_RESTRICT self, + const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix) { + uint32_t* BROTLI_RESTRICT addr = FN(Addr)(self->extra); + uint16_t* BROTLI_RESTRICT head = FN(Head)(self->extra); + uint8_t* BROTLI_RESTRICT tiny_hash = FN(TinyHash)(self->extra); + FN(Bank)* BROTLI_RESTRICT banks = FN(Banks)(self->extra); + const size_t key = FN(HashBytes)(&data[ix & mask]); + const size_t bank = key & (NUM_BANKS - 1); + const size_t idx = self->free_slot_idx[bank]++ & (BANK_SIZE - 1); + size_t delta = ix - addr[key]; + tiny_hash[(uint16_t)ix] = (uint8_t)key; + if (delta > 0xFFFF) delta = CAPPED_CHAINS ? 0 : 0xFFFF; + banks[bank].slots[idx].delta = (uint16_t)delta; + banks[bank].slots[idx].next = head[key]; + addr[key] = (uint32_t)ix; + head[key] = (uint16_t)idx; +} + +static BROTLI_INLINE void FN(StoreRange)( + HashForgetfulChain* BROTLI_RESTRICT self, + const uint8_t* BROTLI_RESTRICT data, const size_t mask, + const size_t ix_start, const size_t ix_end) { + size_t i; + for (i = ix_start; i < ix_end; ++i) { + FN(Store)(self, data, mask, i); + } +} + +static BROTLI_INLINE void FN(StitchToPreviousBlock)( + HashForgetfulChain* BROTLI_RESTRICT self, + size_t num_bytes, size_t position, const uint8_t* ringbuffer, + size_t ring_buffer_mask) { + if (num_bytes >= FN(HashTypeLength)() - 1 && position >= 3) { + /* Prepare the hashes for three last bytes of the last write. + These could not be calculated before, since they require knowledge + of both the previous and the current block. */ + FN(Store)(self, ringbuffer, ring_buffer_mask, position - 3); + FN(Store)(self, ringbuffer, ring_buffer_mask, position - 2); + FN(Store)(self, ringbuffer, ring_buffer_mask, position - 1); + } +} + +static BROTLI_INLINE void FN(PrepareDistanceCache)( + HashForgetfulChain* BROTLI_RESTRICT self, + int* BROTLI_RESTRICT distance_cache) { + BROTLI_UNUSED(self); + PrepareDistanceCache(distance_cache, NUM_LAST_DISTANCES_TO_CHECK); +} + +/* Find a longest backward match of &data[cur_ix] up to the length of + max_length and stores the position cur_ix in the hash table. + + REQUIRES: FN(PrepareDistanceCache) must be invoked for current distance cache + values; if this method is invoked repeatedly with the same distance + cache values, it is enough to invoke FN(PrepareDistanceCache) once. + + Does not look for matches longer than max_length. + Does not look for matches further away than max_backward. + Writes the best match into |out|. + |out|->score is updated only if a better match is found. */ +static BROTLI_INLINE void FN(FindLongestMatch)( + HashForgetfulChain* BROTLI_RESTRICT self, + const BrotliEncoderDictionary* dictionary, + const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, + const int* BROTLI_RESTRICT distance_cache, + const size_t cur_ix, const size_t max_length, const size_t max_backward, + const size_t dictionary_distance, const size_t max_distance, + HasherSearchResult* BROTLI_RESTRICT out) { + uint32_t* BROTLI_RESTRICT addr = FN(Addr)(self->extra); + uint16_t* BROTLI_RESTRICT head = FN(Head)(self->extra); + uint8_t* BROTLI_RESTRICT tiny_hashes = FN(TinyHash)(self->extra); + FN(Bank)* BROTLI_RESTRICT banks = FN(Banks)(self->extra); + const size_t cur_ix_masked = cur_ix & ring_buffer_mask; + /* Don't accept a short copy from far away. */ + score_t min_score = out->score; + score_t best_score = out->score; + size_t best_len = out->len; + size_t i; + const size_t key = FN(HashBytes)(&data[cur_ix_masked]); + const uint8_t tiny_hash = (uint8_t)(key); + out->len = 0; + out->len_code_delta = 0; + /* Try last distance first. */ + for (i = 0; i < NUM_LAST_DISTANCES_TO_CHECK; ++i) { + const size_t backward = (size_t)distance_cache[i]; + size_t prev_ix = (cur_ix - backward); + /* For distance code 0 we want to consider 2-byte matches. */ + if (i > 0 && tiny_hashes[(uint16_t)prev_ix] != tiny_hash) continue; + if (prev_ix >= cur_ix || backward > max_backward) { + continue; + } + prev_ix &= ring_buffer_mask; + { + const size_t len = FindMatchLengthWithLimit(&data[prev_ix], + &data[cur_ix_masked], + max_length); + if (len >= 2) { + score_t score = BackwardReferenceScoreUsingLastDistance(len); + if (best_score < score) { + if (i != 0) score -= BackwardReferencePenaltyUsingLastDistance(i); + if (best_score < score) { + best_score = score; + best_len = len; + out->len = best_len; + out->distance = backward; + out->score = best_score; + } + } + } + } + } + { + const size_t bank = key & (NUM_BANKS - 1); + size_t backward = 0; + size_t hops = self->max_hops; + size_t delta = cur_ix - addr[key]; + size_t slot = head[key]; + while (hops--) { + size_t prev_ix; + size_t last = slot; + backward += delta; + if (backward > max_backward || (CAPPED_CHAINS && !delta)) break; + prev_ix = (cur_ix - backward) & ring_buffer_mask; + slot = banks[bank].slots[last].next; + delta = banks[bank].slots[last].delta; + if (cur_ix_masked + best_len > ring_buffer_mask || + prev_ix + best_len > ring_buffer_mask || + data[cur_ix_masked + best_len] != data[prev_ix + best_len]) { + continue; + } + { + const size_t len = FindMatchLengthWithLimit(&data[prev_ix], + &data[cur_ix_masked], + max_length); + if (len >= 4) { + /* Comparing for >= 3 does not change the semantics, but just saves + for a few unnecessary binary logarithms in backward reference + score, since we are not interested in such short matches. */ + score_t score = BackwardReferenceScore(len, backward); + if (best_score < score) { + best_score = score; + best_len = len; + out->len = best_len; + out->distance = backward; + out->score = best_score; + } + } + } + } + FN(Store)(self, data, ring_buffer_mask, cur_ix); + } + if (out->score == min_score) { + SearchInStaticDictionary(dictionary, + self->common, &data[cur_ix_masked], max_length, dictionary_distance, + max_distance, out, BROTLI_FALSE); + } +} + +#undef BANK_SIZE +#undef BUCKET_SIZE +#undef CAPPED_CHAINS + +#undef HashForgetfulChain diff --git a/modules/brotli/enc/hash_longest_match64_inc.h b/modules/brotli/enc/hash_longest_match64_inc.h new file mode 100644 index 0000000000..956fb304b3 --- /dev/null +++ b/modules/brotli/enc/hash_longest_match64_inc.h @@ -0,0 +1,267 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2010 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: FN */ + +/* A (forgetful) hash table to the data seen by the compressor, to + help create backward references to previous data. + + This is a hash map of fixed size (bucket_size_) to a ring buffer of + fixed size (block_size_). The ring buffer contains the last block_size_ + index positions of the given hash key in the compressed data. */ + +#define HashLongestMatch HASHER() + +static BROTLI_INLINE size_t FN(HashTypeLength)(void) { return 8; } +static BROTLI_INLINE size_t FN(StoreLookahead)(void) { return 8; } + +/* HashBytes is the function that chooses the bucket to place the address in. */ +static BROTLI_INLINE uint32_t FN(HashBytes)(const uint8_t* BROTLI_RESTRICT data, + const uint64_t mask, + const int shift) { + const uint64_t h = (BROTLI_UNALIGNED_LOAD64LE(data) & mask) * kHashMul64Long; + /* The higher bits contain more mixture from the multiplication, + so we take our results from there. */ + return (uint32_t)(h >> shift); +} + +typedef struct HashLongestMatch { + /* Number of hash buckets. */ + size_t bucket_size_; + /* Only block_size_ newest backward references are kept, + and the older are forgotten. */ + size_t block_size_; + /* Left-shift for computing hash bucket index from hash value. */ + int hash_shift_; + /* Mask for selecting the next 4-8 bytes of input */ + uint64_t hash_mask_; + /* Mask for accessing entries in a block (in a ring-buffer manner). */ + uint32_t block_mask_; + + int block_bits_; + int num_last_distances_to_check_; + + /* Shortcuts. */ + HasherCommon* common_; + + /* --- Dynamic size members --- */ + + /* Number of entries in a particular bucket. */ + uint16_t* num_; /* uint16_t[bucket_size]; */ + + /* Buckets containing block_size_ of backward references. */ + uint32_t* buckets_; /* uint32_t[bucket_size * block_size]; */ +} HashLongestMatch; + +static void FN(Initialize)( + HasherCommon* common, HashLongestMatch* BROTLI_RESTRICT self, + const BrotliEncoderParams* params) { + self->common_ = common; + + BROTLI_UNUSED(params); + self->hash_shift_ = 64 - common->params.bucket_bits; + self->hash_mask_ = (~((uint64_t)0U)) >> (64 - 8 * common->params.hash_len); + self->bucket_size_ = (size_t)1 << common->params.bucket_bits; + self->block_bits_ = common->params.block_bits; + self->block_size_ = (size_t)1 << common->params.block_bits; + self->block_mask_ = (uint32_t)(self->block_size_ - 1); + self->num_last_distances_to_check_ = + common->params.num_last_distances_to_check; + self->num_ = (uint16_t*)common->extra; + self->buckets_ = (uint32_t*)&self->num_[self->bucket_size_]; +} + +static void FN(Prepare)( + HashLongestMatch* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, + size_t input_size, const uint8_t* BROTLI_RESTRICT data) { + uint16_t* BROTLI_RESTRICT num = self->num_; + /* Partial preparation is 100 times slower (per socket). */ + size_t partial_prepare_threshold = self->bucket_size_ >> 6; + if (one_shot && input_size <= partial_prepare_threshold) { + size_t i; + for (i = 0; i < input_size; ++i) { + const uint32_t key = FN(HashBytes)(&data[i], self->hash_mask_, + self->hash_shift_); + num[key] = 0; + } + } else { + memset(num, 0, self->bucket_size_ * sizeof(num[0])); + } +} + +static BROTLI_INLINE size_t FN(HashMemAllocInBytes)( + const BrotliEncoderParams* params, BROTLI_BOOL one_shot, + size_t input_size) { + size_t bucket_size = (size_t)1 << params->hasher.bucket_bits; + size_t block_size = (size_t)1 << params->hasher.block_bits; + BROTLI_UNUSED(one_shot); + BROTLI_UNUSED(input_size); + return sizeof(uint16_t) * bucket_size + + sizeof(uint32_t) * bucket_size * block_size; +} + +/* Look at 4 bytes at &data[ix & mask]. + Compute a hash from these, and store the value of ix at that position. */ +static BROTLI_INLINE void FN(Store)( + HashLongestMatch* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, + const size_t mask, const size_t ix) { + uint16_t* BROTLI_RESTRICT num = self->num_; + uint32_t* BROTLI_RESTRICT buckets = self->buckets_; + const uint32_t key = FN(HashBytes)(&data[ix & mask], self->hash_mask_, + self->hash_shift_); + const size_t minor_ix = num[key] & self->block_mask_; + const size_t offset = minor_ix + (key << self->block_bits_); + ++num[key]; + buckets[offset] = (uint32_t)ix; +} + +static BROTLI_INLINE void FN(StoreRange)(HashLongestMatch* BROTLI_RESTRICT self, + const uint8_t* BROTLI_RESTRICT data, const size_t mask, + const size_t ix_start, const size_t ix_end) { + size_t i; + for (i = ix_start; i < ix_end; ++i) { + FN(Store)(self, data, mask, i); + } +} + +static BROTLI_INLINE void FN(StitchToPreviousBlock)( + HashLongestMatch* BROTLI_RESTRICT self, + size_t num_bytes, size_t position, const uint8_t* ringbuffer, + size_t ringbuffer_mask) { + if (num_bytes >= FN(HashTypeLength)() - 1 && position >= 3) { + /* Prepare the hashes for three last bytes of the last write. + These could not be calculated before, since they require knowledge + of both the previous and the current block. */ + FN(Store)(self, ringbuffer, ringbuffer_mask, position - 3); + FN(Store)(self, ringbuffer, ringbuffer_mask, position - 2); + FN(Store)(self, ringbuffer, ringbuffer_mask, position - 1); + } +} + +static BROTLI_INLINE void FN(PrepareDistanceCache)( + HashLongestMatch* BROTLI_RESTRICT self, + int* BROTLI_RESTRICT distance_cache) { + PrepareDistanceCache(distance_cache, self->num_last_distances_to_check_); +} + +/* Find a longest backward match of &data[cur_ix] up to the length of + max_length and stores the position cur_ix in the hash table. + + REQUIRES: FN(PrepareDistanceCache) must be invoked for current distance cache + values; if this method is invoked repeatedly with the same distance + cache values, it is enough to invoke FN(PrepareDistanceCache) once. + + Does not look for matches longer than max_length. + Does not look for matches further away than max_backward. + Writes the best match into |out|. + |out|->score is updated only if a better match is found. */ +static BROTLI_INLINE void FN(FindLongestMatch)( + HashLongestMatch* BROTLI_RESTRICT self, + const BrotliEncoderDictionary* dictionary, + const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, + const int* BROTLI_RESTRICT distance_cache, const size_t cur_ix, + const size_t max_length, const size_t max_backward, + const size_t dictionary_distance, const size_t max_distance, + HasherSearchResult* BROTLI_RESTRICT out) { + uint16_t* BROTLI_RESTRICT num = self->num_; + uint32_t* BROTLI_RESTRICT buckets = self->buckets_; + const size_t cur_ix_masked = cur_ix & ring_buffer_mask; + /* Don't accept a short copy from far away. */ + score_t min_score = out->score; + score_t best_score = out->score; + size_t best_len = out->len; + size_t i; + out->len = 0; + out->len_code_delta = 0; + /* Try last distance first. */ + for (i = 0; i < (size_t)self->num_last_distances_to_check_; ++i) { + const size_t backward = (size_t)distance_cache[i]; + size_t prev_ix = (size_t)(cur_ix - backward); + if (prev_ix >= cur_ix) { + continue; + } + if (BROTLI_PREDICT_FALSE(backward > max_backward)) { + continue; + } + prev_ix &= ring_buffer_mask; + + if (cur_ix_masked + best_len > ring_buffer_mask || + prev_ix + best_len > ring_buffer_mask || + data[cur_ix_masked + best_len] != data[prev_ix + best_len]) { + continue; + } + { + const size_t len = FindMatchLengthWithLimit(&data[prev_ix], + &data[cur_ix_masked], + max_length); + if (len >= 3 || (len == 2 && i < 2)) { + /* Comparing for >= 2 does not change the semantics, but just saves for + a few unnecessary binary logarithms in backward reference score, + since we are not interested in such short matches. */ + score_t score = BackwardReferenceScoreUsingLastDistance(len); + if (best_score < score) { + if (i != 0) score -= BackwardReferencePenaltyUsingLastDistance(i); + if (best_score < score) { + best_score = score; + best_len = len; + out->len = best_len; + out->distance = backward; + out->score = best_score; + } + } + } + } + } + { + const uint32_t key = FN(HashBytes)( + &data[cur_ix_masked], self->hash_mask_, self->hash_shift_); + uint32_t* BROTLI_RESTRICT bucket = &buckets[key << self->block_bits_]; + const size_t down = + (num[key] > self->block_size_) ? + (num[key] - self->block_size_) : 0u; + for (i = num[key]; i > down;) { + size_t prev_ix = bucket[--i & self->block_mask_]; + const size_t backward = cur_ix - prev_ix; + if (BROTLI_PREDICT_FALSE(backward > max_backward)) { + break; + } + prev_ix &= ring_buffer_mask; + if (cur_ix_masked + best_len > ring_buffer_mask || + prev_ix + best_len > ring_buffer_mask || + data[cur_ix_masked + best_len] != data[prev_ix + best_len]) { + continue; + } + { + const size_t len = FindMatchLengthWithLimit(&data[prev_ix], + &data[cur_ix_masked], + max_length); + if (len >= 4) { + /* Comparing for >= 3 does not change the semantics, but just saves + for a few unnecessary binary logarithms in backward reference + score, since we are not interested in such short matches. */ + score_t score = BackwardReferenceScore(len, backward); + if (best_score < score) { + best_score = score; + best_len = len; + out->len = best_len; + out->distance = backward; + out->score = best_score; + } + } + } + } + bucket[num[key] & self->block_mask_] = (uint32_t)cur_ix; + ++num[key]; + } + if (min_score == out->score) { + SearchInStaticDictionary(dictionary, + self->common_, &data[cur_ix_masked], max_length, dictionary_distance, + max_distance, out, BROTLI_FALSE); + } +} + +#undef HashLongestMatch diff --git a/modules/brotli/enc/hash_longest_match_inc.h b/modules/brotli/enc/hash_longest_match_inc.h new file mode 100644 index 0000000000..27f4463d7f --- /dev/null +++ b/modules/brotli/enc/hash_longest_match_inc.h @@ -0,0 +1,262 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2010 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: FN */ + +/* A (forgetful) hash table to the data seen by the compressor, to + help create backward references to previous data. + + This is a hash map of fixed size (bucket_size_) to a ring buffer of + fixed size (block_size_). The ring buffer contains the last block_size_ + index positions of the given hash key in the compressed data. */ + +#define HashLongestMatch HASHER() + +static BROTLI_INLINE size_t FN(HashTypeLength)(void) { return 4; } +static BROTLI_INLINE size_t FN(StoreLookahead)(void) { return 4; } + +/* HashBytes is the function that chooses the bucket to place the address in. */ +static uint32_t FN(HashBytes)( + const uint8_t* BROTLI_RESTRICT data, const int shift) { + uint32_t h = BROTLI_UNALIGNED_LOAD32LE(data) * kHashMul32; + /* The higher bits contain more mixture from the multiplication, + so we take our results from there. */ + return (uint32_t)(h >> shift); +} + +typedef struct HashLongestMatch { + /* Number of hash buckets. */ + size_t bucket_size_; + /* Only block_size_ newest backward references are kept, + and the older are forgotten. */ + size_t block_size_; + /* Left-shift for computing hash bucket index from hash value. */ + int hash_shift_; + /* Mask for accessing entries in a block (in a ring-buffer manner). */ + uint32_t block_mask_; + + int block_bits_; + int num_last_distances_to_check_; + + /* Shortcuts. */ + HasherCommon* common_; + + /* --- Dynamic size members --- */ + + /* Number of entries in a particular bucket. */ + uint16_t* num_; /* uint16_t[bucket_size]; */ + + /* Buckets containing block_size_ of backward references. */ + uint32_t* buckets_; /* uint32_t[bucket_size * block_size]; */ +} HashLongestMatch; + +static BROTLI_INLINE uint16_t* FN(Num)(void* extra) { + return (uint16_t*)extra; +} + +static void FN(Initialize)( + HasherCommon* common, HashLongestMatch* BROTLI_RESTRICT self, + const BrotliEncoderParams* params) { + self->common_ = common; + + BROTLI_UNUSED(params); + self->hash_shift_ = 32 - common->params.bucket_bits; + self->bucket_size_ = (size_t)1 << common->params.bucket_bits; + self->block_size_ = (size_t)1 << common->params.block_bits; + self->block_mask_ = (uint32_t)(self->block_size_ - 1); + self->num_ = (uint16_t*)common->extra; + self->buckets_ = (uint32_t*)(&self->num_[self->bucket_size_]); + self->block_bits_ = common->params.block_bits; + self->num_last_distances_to_check_ = + common->params.num_last_distances_to_check; +} + +static void FN(Prepare)( + HashLongestMatch* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, + size_t input_size, const uint8_t* BROTLI_RESTRICT data) { + uint16_t* BROTLI_RESTRICT num = self->num_; + /* Partial preparation is 100 times slower (per socket). */ + size_t partial_prepare_threshold = self->bucket_size_ >> 6; + if (one_shot && input_size <= partial_prepare_threshold) { + size_t i; + for (i = 0; i < input_size; ++i) { + const uint32_t key = FN(HashBytes)(&data[i], self->hash_shift_); + num[key] = 0; + } + } else { + memset(num, 0, self->bucket_size_ * sizeof(num[0])); + } +} + +static BROTLI_INLINE size_t FN(HashMemAllocInBytes)( + const BrotliEncoderParams* params, BROTLI_BOOL one_shot, + size_t input_size) { + size_t bucket_size = (size_t)1 << params->hasher.bucket_bits; + size_t block_size = (size_t)1 << params->hasher.block_bits; + BROTLI_UNUSED(one_shot); + BROTLI_UNUSED(input_size); + return sizeof(uint16_t) * bucket_size + + sizeof(uint32_t) * bucket_size * block_size; +} + +/* Look at 4 bytes at &data[ix & mask]. + Compute a hash from these, and store the value of ix at that position. */ +static BROTLI_INLINE void FN(Store)( + HashLongestMatch* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, + const size_t mask, const size_t ix) { + const uint32_t key = FN(HashBytes)(&data[ix & mask], self->hash_shift_); + const size_t minor_ix = self->num_[key] & self->block_mask_; + const size_t offset = minor_ix + (key << self->block_bits_); + self->buckets_[offset] = (uint32_t)ix; + ++self->num_[key]; +} + +static BROTLI_INLINE void FN(StoreRange)(HashLongestMatch* BROTLI_RESTRICT self, + const uint8_t* BROTLI_RESTRICT data, const size_t mask, + const size_t ix_start, const size_t ix_end) { + size_t i; + for (i = ix_start; i < ix_end; ++i) { + FN(Store)(self, data, mask, i); + } +} + +static BROTLI_INLINE void FN(StitchToPreviousBlock)( + HashLongestMatch* BROTLI_RESTRICT self, + size_t num_bytes, size_t position, const uint8_t* ringbuffer, + size_t ringbuffer_mask) { + if (num_bytes >= FN(HashTypeLength)() - 1 && position >= 3) { + /* Prepare the hashes for three last bytes of the last write. + These could not be calculated before, since they require knowledge + of both the previous and the current block. */ + FN(Store)(self, ringbuffer, ringbuffer_mask, position - 3); + FN(Store)(self, ringbuffer, ringbuffer_mask, position - 2); + FN(Store)(self, ringbuffer, ringbuffer_mask, position - 1); + } +} + +static BROTLI_INLINE void FN(PrepareDistanceCache)( + HashLongestMatch* BROTLI_RESTRICT self, + int* BROTLI_RESTRICT distance_cache) { + PrepareDistanceCache(distance_cache, self->num_last_distances_to_check_); +} + +/* Find a longest backward match of &data[cur_ix] up to the length of + max_length and stores the position cur_ix in the hash table. + + REQUIRES: FN(PrepareDistanceCache) must be invoked for current distance cache + values; if this method is invoked repeatedly with the same distance + cache values, it is enough to invoke FN(PrepareDistanceCache) once. + + Does not look for matches longer than max_length. + Does not look for matches further away than max_backward. + Writes the best match into |out|. + |out|->score is updated only if a better match is found. */ +static BROTLI_INLINE void FN(FindLongestMatch)( + HashLongestMatch* BROTLI_RESTRICT self, + const BrotliEncoderDictionary* dictionary, + const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, + const int* BROTLI_RESTRICT distance_cache, const size_t cur_ix, + const size_t max_length, const size_t max_backward, + const size_t dictionary_distance, const size_t max_distance, + HasherSearchResult* BROTLI_RESTRICT out) { + uint16_t* BROTLI_RESTRICT num = self->num_; + uint32_t* BROTLI_RESTRICT buckets = self->buckets_; + const size_t cur_ix_masked = cur_ix & ring_buffer_mask; + /* Don't accept a short copy from far away. */ + score_t min_score = out->score; + score_t best_score = out->score; + size_t best_len = out->len; + size_t i; + out->len = 0; + out->len_code_delta = 0; + /* Try last distance first. */ + for (i = 0; i < (size_t)self->num_last_distances_to_check_; ++i) { + const size_t backward = (size_t)distance_cache[i]; + size_t prev_ix = (size_t)(cur_ix - backward); + if (prev_ix >= cur_ix) { + continue; + } + if (BROTLI_PREDICT_FALSE(backward > max_backward)) { + continue; + } + prev_ix &= ring_buffer_mask; + + if (cur_ix_masked + best_len > ring_buffer_mask || + prev_ix + best_len > ring_buffer_mask || + data[cur_ix_masked + best_len] != data[prev_ix + best_len]) { + continue; + } + { + const size_t len = FindMatchLengthWithLimit(&data[prev_ix], + &data[cur_ix_masked], + max_length); + if (len >= 3 || (len == 2 && i < 2)) { + /* Comparing for >= 2 does not change the semantics, but just saves for + a few unnecessary binary logarithms in backward reference score, + since we are not interested in such short matches. */ + score_t score = BackwardReferenceScoreUsingLastDistance(len); + if (best_score < score) { + if (i != 0) score -= BackwardReferencePenaltyUsingLastDistance(i); + if (best_score < score) { + best_score = score; + best_len = len; + out->len = best_len; + out->distance = backward; + out->score = best_score; + } + } + } + } + } + { + const uint32_t key = + FN(HashBytes)(&data[cur_ix_masked], self->hash_shift_); + uint32_t* BROTLI_RESTRICT bucket = &buckets[key << self->block_bits_]; + const size_t down = + (num[key] > self->block_size_) ? (num[key] - self->block_size_) : 0u; + for (i = num[key]; i > down;) { + size_t prev_ix = bucket[--i & self->block_mask_]; + const size_t backward = cur_ix - prev_ix; + if (BROTLI_PREDICT_FALSE(backward > max_backward)) { + break; + } + prev_ix &= ring_buffer_mask; + if (cur_ix_masked + best_len > ring_buffer_mask || + prev_ix + best_len > ring_buffer_mask || + data[cur_ix_masked + best_len] != data[prev_ix + best_len]) { + continue; + } + { + const size_t len = FindMatchLengthWithLimit(&data[prev_ix], + &data[cur_ix_masked], + max_length); + if (len >= 4) { + /* Comparing for >= 3 does not change the semantics, but just saves + for a few unnecessary binary logarithms in backward reference + score, since we are not interested in such short matches. */ + score_t score = BackwardReferenceScore(len, backward); + if (best_score < score) { + best_score = score; + best_len = len; + out->len = best_len; + out->distance = backward; + out->score = best_score; + } + } + } + } + bucket[num[key] & self->block_mask_] = (uint32_t)cur_ix; + ++num[key]; + } + if (min_score == out->score) { + SearchInStaticDictionary(dictionary, + self->common_, &data[cur_ix_masked], max_length, dictionary_distance, + max_distance, out, BROTLI_FALSE); + } +} + +#undef HashLongestMatch diff --git a/modules/brotli/enc/hash_longest_match_quickly_inc.h b/modules/brotli/enc/hash_longest_match_quickly_inc.h new file mode 100644 index 0000000000..e5ba840ab9 --- /dev/null +++ b/modules/brotli/enc/hash_longest_match_quickly_inc.h @@ -0,0 +1,266 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2010 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: FN, BUCKET_BITS, BUCKET_SWEEP_BITS, HASH_LEN, + USE_DICTIONARY + */ + +#define HashLongestMatchQuickly HASHER() + +#define BUCKET_SIZE (1 << BUCKET_BITS) +#define BUCKET_MASK (BUCKET_SIZE - 1) +#define BUCKET_SWEEP (1 << BUCKET_SWEEP_BITS) +#define BUCKET_SWEEP_MASK ((BUCKET_SWEEP - 1) << 3) + +static BROTLI_INLINE size_t FN(HashTypeLength)(void) { return 8; } +static BROTLI_INLINE size_t FN(StoreLookahead)(void) { return 8; } + +/* HashBytes is the function that chooses the bucket to place + the address in. The HashLongestMatch and HashLongestMatchQuickly + classes have separate, different implementations of hashing. */ +static uint32_t FN(HashBytes)(const uint8_t* data) { + const uint64_t h = ((BROTLI_UNALIGNED_LOAD64LE(data) << (64 - 8 * HASH_LEN)) * + kHashMul64); + /* The higher bits contain more mixture from the multiplication, + so we take our results from there. */ + return (uint32_t)(h >> (64 - BUCKET_BITS)); +} + +/* A (forgetful) hash table to the data seen by the compressor, to + help create backward references to previous data. + + This is a hash map of fixed size (BUCKET_SIZE). */ +typedef struct HashLongestMatchQuickly { + /* Shortcuts. */ + HasherCommon* common; + + /* --- Dynamic size members --- */ + + uint32_t* buckets_; /* uint32_t[BUCKET_SIZE]; */ +} HashLongestMatchQuickly; + +static void FN(Initialize)( + HasherCommon* common, HashLongestMatchQuickly* BROTLI_RESTRICT self, + const BrotliEncoderParams* params) { + self->common = common; + + BROTLI_UNUSED(params); + self->buckets_ = (uint32_t*)common->extra; +} + +static void FN(Prepare)( + HashLongestMatchQuickly* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, + size_t input_size, const uint8_t* BROTLI_RESTRICT data) { + uint32_t* BROTLI_RESTRICT buckets = self->buckets_; + /* Partial preparation is 100 times slower (per socket). */ + size_t partial_prepare_threshold = BUCKET_SIZE >> 5; + if (one_shot && input_size <= partial_prepare_threshold) { + size_t i; + for (i = 0; i < input_size; ++i) { + const uint32_t key = FN(HashBytes)(&data[i]); + if (BUCKET_SWEEP == 1) { + buckets[key] = 0; + } else { + uint32_t j; + for (j = 0; j < BUCKET_SWEEP; ++j) { + buckets[(key + (j << 3)) & BUCKET_MASK] = 0; + } + } + } + } else { + /* It is not strictly necessary to fill this buffer here, but + not filling will make the results of the compression stochastic + (but correct). This is because random data would cause the + system to find accidentally good backward references here and there. */ + memset(buckets, 0, sizeof(uint32_t) * BUCKET_SIZE); + } +} + +static BROTLI_INLINE size_t FN(HashMemAllocInBytes)( + const BrotliEncoderParams* params, BROTLI_BOOL one_shot, + size_t input_size) { + BROTLI_UNUSED(params); + BROTLI_UNUSED(one_shot); + BROTLI_UNUSED(input_size); + return sizeof(uint32_t) * BUCKET_SIZE; +} + +/* Look at 5 bytes at &data[ix & mask]. + Compute a hash from these, and store the value somewhere within + [ix .. ix+3]. */ +static BROTLI_INLINE void FN(Store)( + HashLongestMatchQuickly* BROTLI_RESTRICT self, + const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix) { + const uint32_t key = FN(HashBytes)(&data[ix & mask]); + if (BUCKET_SWEEP == 1) { + self->buckets_[key] = (uint32_t)ix; + } else { + /* Wiggle the value with the bucket sweep range. */ + const uint32_t off = ix & BUCKET_SWEEP_MASK; + self->buckets_[(key + off) & BUCKET_MASK] = (uint32_t)ix; + } +} + +static BROTLI_INLINE void FN(StoreRange)( + HashLongestMatchQuickly* BROTLI_RESTRICT self, + const uint8_t* BROTLI_RESTRICT data, const size_t mask, + const size_t ix_start, const size_t ix_end) { + size_t i; + for (i = ix_start; i < ix_end; ++i) { + FN(Store)(self, data, mask, i); + } +} + +static BROTLI_INLINE void FN(StitchToPreviousBlock)( + HashLongestMatchQuickly* BROTLI_RESTRICT self, + size_t num_bytes, size_t position, + const uint8_t* ringbuffer, size_t ringbuffer_mask) { + if (num_bytes >= FN(HashTypeLength)() - 1 && position >= 3) { + /* Prepare the hashes for three last bytes of the last write. + These could not be calculated before, since they require knowledge + of both the previous and the current block. */ + FN(Store)(self, ringbuffer, ringbuffer_mask, position - 3); + FN(Store)(self, ringbuffer, ringbuffer_mask, position - 2); + FN(Store)(self, ringbuffer, ringbuffer_mask, position - 1); + } +} + +static BROTLI_INLINE void FN(PrepareDistanceCache)( + HashLongestMatchQuickly* BROTLI_RESTRICT self, + int* BROTLI_RESTRICT distance_cache) { + BROTLI_UNUSED(self); + BROTLI_UNUSED(distance_cache); +} + +/* Find a longest backward match of &data[cur_ix & ring_buffer_mask] + up to the length of max_length and stores the position cur_ix in the + hash table. + + Does not look for matches longer than max_length. + Does not look for matches further away than max_backward. + Writes the best match into |out|. + |out|->score is updated only if a better match is found. */ +static BROTLI_INLINE void FN(FindLongestMatch)( + HashLongestMatchQuickly* BROTLI_RESTRICT self, + const BrotliEncoderDictionary* dictionary, + const uint8_t* BROTLI_RESTRICT data, + const size_t ring_buffer_mask, const int* BROTLI_RESTRICT distance_cache, + const size_t cur_ix, const size_t max_length, const size_t max_backward, + const size_t dictionary_distance, const size_t max_distance, + HasherSearchResult* BROTLI_RESTRICT out) { + uint32_t* BROTLI_RESTRICT buckets = self->buckets_; + const size_t best_len_in = out->len; + const size_t cur_ix_masked = cur_ix & ring_buffer_mask; + int compare_char = data[cur_ix_masked + best_len_in]; + size_t key = FN(HashBytes)(&data[cur_ix_masked]); + size_t key_out; + score_t min_score = out->score; + score_t best_score = out->score; + size_t best_len = best_len_in; + size_t cached_backward = (size_t)distance_cache[0]; + size_t prev_ix = cur_ix - cached_backward; + out->len_code_delta = 0; + if (prev_ix < cur_ix) { + prev_ix &= (uint32_t)ring_buffer_mask; + if (compare_char == data[prev_ix + best_len]) { + const size_t len = FindMatchLengthWithLimit( + &data[prev_ix], &data[cur_ix_masked], max_length); + if (len >= 4) { + const score_t score = BackwardReferenceScoreUsingLastDistance(len); + if (best_score < score) { + out->len = len; + out->distance = cached_backward; + out->score = score; + if (BUCKET_SWEEP == 1) { + buckets[key] = (uint32_t)cur_ix; + return; + } else { + best_len = len; + best_score = score; + compare_char = data[cur_ix_masked + len]; + } + } + } + } + } + if (BUCKET_SWEEP == 1) { + size_t backward; + size_t len; + /* Only one to look for, don't bother to prepare for a loop. */ + prev_ix = buckets[key]; + buckets[key] = (uint32_t)cur_ix; + backward = cur_ix - prev_ix; + prev_ix &= (uint32_t)ring_buffer_mask; + if (compare_char != data[prev_ix + best_len_in]) { + return; + } + if (BROTLI_PREDICT_FALSE(backward == 0 || backward > max_backward)) { + return; + } + len = FindMatchLengthWithLimit(&data[prev_ix], + &data[cur_ix_masked], + max_length); + if (len >= 4) { + const score_t score = BackwardReferenceScore(len, backward); + if (best_score < score) { + out->len = len; + out->distance = backward; + out->score = score; + return; + } + } + } else { + size_t keys[BUCKET_SWEEP]; + size_t i; + for (i = 0; i < BUCKET_SWEEP; ++i) { + keys[i] = (key + (i << 3)) & BUCKET_MASK; + } + key_out = keys[(cur_ix & BUCKET_SWEEP_MASK) >> 3]; + for (i = 0; i < BUCKET_SWEEP; ++i) { + size_t len; + size_t backward; + prev_ix = buckets[keys[i]]; + backward = cur_ix - prev_ix; + prev_ix &= (uint32_t)ring_buffer_mask; + if (compare_char != data[prev_ix + best_len]) { + continue; + } + if (BROTLI_PREDICT_FALSE(backward == 0 || backward > max_backward)) { + continue; + } + len = FindMatchLengthWithLimit(&data[prev_ix], + &data[cur_ix_masked], + max_length); + if (len >= 4) { + const score_t score = BackwardReferenceScore(len, backward); + if (best_score < score) { + best_len = len; + out->len = len; + compare_char = data[cur_ix_masked + len]; + best_score = score; + out->score = score; + out->distance = backward; + } + } + } + } + if (USE_DICTIONARY && min_score == out->score) { + SearchInStaticDictionary(dictionary, + self->common, &data[cur_ix_masked], max_length, dictionary_distance, + max_distance, out, BROTLI_TRUE); + } + if (BUCKET_SWEEP != 1) { + buckets[key_out] = (uint32_t)cur_ix; + } +} + +#undef BUCKET_SWEEP_MASK +#undef BUCKET_SWEEP +#undef BUCKET_MASK +#undef BUCKET_SIZE + +#undef HashLongestMatchQuickly diff --git a/modules/brotli/enc/hash_rolling_inc.h b/modules/brotli/enc/hash_rolling_inc.h new file mode 100644 index 0000000000..586ae73859 --- /dev/null +++ b/modules/brotli/enc/hash_rolling_inc.h @@ -0,0 +1,212 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2018 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: FN, JUMP, NUMBUCKETS, MASK, CHUNKLEN */ +/* NUMBUCKETS / (MASK + 1) = probability of storing and using hash code. */ +/* JUMP = skip bytes for speedup */ + +/* Rolling hash for long distance long string matches. Stores one position + per bucket, bucket key is computed over a long region. */ + +#define HashRolling HASHER() + +static const uint32_t FN(kRollingHashMul32) = 69069; +static const uint32_t FN(kInvalidPos) = 0xffffffff; + +/* This hasher uses a longer forward length, but returning a higher value here + will hurt compression by the main hasher when combined with a composite + hasher. The hasher tests for forward itself instead. */ +static BROTLI_INLINE size_t FN(HashTypeLength)(void) { return 4; } +static BROTLI_INLINE size_t FN(StoreLookahead)(void) { return 4; } + +/* Computes a code from a single byte. A lookup table of 256 values could be + used, but simply adding 1 works about as good. */ +static uint32_t FN(HashByte)(uint8_t byte) { + return (uint32_t)byte + 1u; +} + +static uint32_t FN(HashRollingFunctionInitial)(uint32_t state, uint8_t add, + uint32_t factor) { + return (uint32_t)(factor * state + FN(HashByte)(add)); +} + +static uint32_t FN(HashRollingFunction)(uint32_t state, uint8_t add, + uint8_t rem, uint32_t factor, + uint32_t factor_remove) { + return (uint32_t)(factor * state + + FN(HashByte)(add) - factor_remove * FN(HashByte)(rem)); +} + +typedef struct HashRolling { + uint32_t state; + uint32_t* table; + size_t next_ix; + + uint32_t chunk_len; + uint32_t factor; + uint32_t factor_remove; +} HashRolling; + +static void FN(Initialize)( + HasherCommon* common, HashRolling* BROTLI_RESTRICT self, + const BrotliEncoderParams* params) { + size_t i; + self->state = 0; + self->next_ix = 0; + + self->factor = FN(kRollingHashMul32); + + /* Compute the factor of the oldest byte to remove: factor**steps modulo + 0xffffffff (the multiplications rely on 32-bit overflow) */ + self->factor_remove = 1; + for (i = 0; i < CHUNKLEN; i += JUMP) { + self->factor_remove *= self->factor; + } + + self->table = (uint32_t*)common->extra; + for (i = 0; i < NUMBUCKETS; i++) { + self->table[i] = FN(kInvalidPos); + } + + BROTLI_UNUSED(params); +} + +static void FN(Prepare)(HashRolling* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, + size_t input_size, const uint8_t* BROTLI_RESTRICT data) { + size_t i; + /* Too small size, cannot use this hasher. */ + if (input_size < CHUNKLEN) return; + self->state = 0; + for (i = 0; i < CHUNKLEN; i += JUMP) { + self->state = FN(HashRollingFunctionInitial)( + self->state, data[i], self->factor); + } + BROTLI_UNUSED(one_shot); +} + +static BROTLI_INLINE size_t FN(HashMemAllocInBytes)( + const BrotliEncoderParams* params, BROTLI_BOOL one_shot, + size_t input_size) { + return NUMBUCKETS * sizeof(uint32_t); + BROTLI_UNUSED(params); + BROTLI_UNUSED(one_shot); + BROTLI_UNUSED(input_size); +} + +static BROTLI_INLINE void FN(Store)(HashRolling* BROTLI_RESTRICT self, + const uint8_t* BROTLI_RESTRICT data, const size_t mask, const size_t ix) { + BROTLI_UNUSED(self); + BROTLI_UNUSED(data); + BROTLI_UNUSED(mask); + BROTLI_UNUSED(ix); +} + +static BROTLI_INLINE void FN(StoreRange)(HashRolling* BROTLI_RESTRICT self, + const uint8_t* BROTLI_RESTRICT data, const size_t mask, + const size_t ix_start, const size_t ix_end) { + BROTLI_UNUSED(self); + BROTLI_UNUSED(data); + BROTLI_UNUSED(mask); + BROTLI_UNUSED(ix_start); + BROTLI_UNUSED(ix_end); +} + +static BROTLI_INLINE void FN(StitchToPreviousBlock)( + HashRolling* BROTLI_RESTRICT self, + size_t num_bytes, size_t position, const uint8_t* ringbuffer, + size_t ring_buffer_mask) { + /* In this case we must re-initialize the hasher from scratch from the + current position. */ + size_t position_masked; + size_t available = num_bytes; + if ((position & (JUMP - 1)) != 0) { + size_t diff = JUMP - (position & (JUMP - 1)); + available = (diff > available) ? 0 : (available - diff); + position += diff; + } + position_masked = position & ring_buffer_mask; + /* wrapping around ringbuffer not handled. */ + if (available > ring_buffer_mask - position_masked) { + available = ring_buffer_mask - position_masked; + } + + FN(Prepare)(self, BROTLI_FALSE, available, + ringbuffer + (position & ring_buffer_mask)); + self->next_ix = position; + BROTLI_UNUSED(num_bytes); +} + +static BROTLI_INLINE void FN(PrepareDistanceCache)( + HashRolling* BROTLI_RESTRICT self, + int* BROTLI_RESTRICT distance_cache) { + BROTLI_UNUSED(self); + BROTLI_UNUSED(distance_cache); +} + +static BROTLI_INLINE void FN(FindLongestMatch)( + HashRolling* BROTLI_RESTRICT self, + const BrotliEncoderDictionary* dictionary, + const uint8_t* BROTLI_RESTRICT data, const size_t ring_buffer_mask, + const int* BROTLI_RESTRICT distance_cache, const size_t cur_ix, + const size_t max_length, const size_t max_backward, + const size_t dictionary_distance, const size_t max_distance, + HasherSearchResult* BROTLI_RESTRICT out) { + const size_t cur_ix_masked = cur_ix & ring_buffer_mask; + size_t pos; + + if ((cur_ix & (JUMP - 1)) != 0) return; + + /* Not enough lookahead */ + if (max_length < CHUNKLEN) return; + + for (pos = self->next_ix; pos <= cur_ix; pos += JUMP) { + uint32_t code = self->state & MASK; + + uint8_t rem = data[pos & ring_buffer_mask]; + uint8_t add = data[(pos + CHUNKLEN) & ring_buffer_mask]; + size_t found_ix = FN(kInvalidPos); + + self->state = FN(HashRollingFunction)( + self->state, add, rem, self->factor, self->factor_remove); + + if (code < NUMBUCKETS) { + found_ix = self->table[code]; + self->table[code] = (uint32_t)pos; + if (pos == cur_ix && found_ix != FN(kInvalidPos)) { + /* The cast to 32-bit makes backward distances up to 4GB work even + if cur_ix is above 4GB, despite using 32-bit values in the table. */ + size_t backward = (uint32_t)(cur_ix - found_ix); + if (backward <= max_backward) { + const size_t found_ix_masked = found_ix & ring_buffer_mask; + const size_t len = FindMatchLengthWithLimit(&data[found_ix_masked], + &data[cur_ix_masked], + max_length); + if (len >= 4 && len > out->len) { + score_t score = BackwardReferenceScore(len, backward); + if (score > out->score) { + out->len = len; + out->distance = backward; + out->score = score; + out->len_code_delta = 0; + } + } + } + } + } + } + + self->next_ix = cur_ix + JUMP; + + /* NOTE: this hasher does not search in the dictionary. It is used as + backup-hasher, the main hasher already searches in it. */ + BROTLI_UNUSED(dictionary); + BROTLI_UNUSED(distance_cache); + BROTLI_UNUSED(dictionary_distance); + BROTLI_UNUSED(max_distance); +} + +#undef HashRolling diff --git a/modules/brotli/enc/hash_to_binary_tree_inc.h b/modules/brotli/enc/hash_to_binary_tree_inc.h new file mode 100644 index 0000000000..9880e0aef6 --- /dev/null +++ b/modules/brotli/enc/hash_to_binary_tree_inc.h @@ -0,0 +1,329 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2016 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: FN, BUCKET_BITS, MAX_TREE_COMP_LENGTH, + MAX_TREE_SEARCH_DEPTH */ + +/* A (forgetful) hash table where each hash bucket contains a binary tree of + sequences whose first 4 bytes share the same hash code. + Each sequence is MAX_TREE_COMP_LENGTH long and is identified by its starting + position in the input data. The binary tree is sorted by the lexicographic + order of the sequences, and it is also a max-heap with respect to the + starting positions. */ + +#define HashToBinaryTree HASHER() + +#define BUCKET_SIZE (1 << BUCKET_BITS) + +static BROTLI_INLINE size_t FN(HashTypeLength)(void) { return 4; } +static BROTLI_INLINE size_t FN(StoreLookahead)(void) { + return MAX_TREE_COMP_LENGTH; +} + +static uint32_t FN(HashBytes)(const uint8_t* BROTLI_RESTRICT data) { + uint32_t h = BROTLI_UNALIGNED_LOAD32LE(data) * kHashMul32; + /* The higher bits contain more mixture from the multiplication, + so we take our results from there. */ + return h >> (32 - BUCKET_BITS); +} + +typedef struct HashToBinaryTree { + /* The window size minus 1 */ + size_t window_mask_; + + /* Hash table that maps the 4-byte hashes of the sequence to the last + position where this hash was found, which is the root of the binary + tree of sequences that share this hash bucket. */ + uint32_t* buckets_; /* uint32_t[BUCKET_SIZE]; */ + + /* A position used to mark a non-existent sequence, i.e. a tree is empty if + its root is at invalid_pos_ and a node is a leaf if both its children + are at invalid_pos_. */ + uint32_t invalid_pos_; + + /* --- Dynamic size members --- */ + + /* The union of the binary trees of each hash bucket. The root of the tree + corresponding to a hash is a sequence starting at buckets_[hash] and + the left and right children of a sequence starting at pos are + forest_[2 * pos] and forest_[2 * pos + 1]. */ + uint32_t* forest_; /* uint32_t[2 * num_nodes] */ +} HashToBinaryTree; + +static void FN(Initialize)( + HasherCommon* common, HashToBinaryTree* BROTLI_RESTRICT self, + const BrotliEncoderParams* params) { + self->buckets_ = (uint32_t*)common->extra; + self->forest_ = &self->buckets_[BUCKET_SIZE]; + + self->window_mask_ = (1u << params->lgwin) - 1u; + self->invalid_pos_ = (uint32_t)(0 - self->window_mask_); +} + +static void FN(Prepare) + (HashToBinaryTree* BROTLI_RESTRICT self, BROTLI_BOOL one_shot, + size_t input_size, const uint8_t* BROTLI_RESTRICT data) { + uint32_t invalid_pos = self->invalid_pos_; + uint32_t i; + uint32_t* BROTLI_RESTRICT buckets = self->buckets_; + BROTLI_UNUSED(data); + BROTLI_UNUSED(one_shot); + BROTLI_UNUSED(input_size); + for (i = 0; i < BUCKET_SIZE; i++) { + buckets[i] = invalid_pos; + } +} + +static BROTLI_INLINE size_t FN(HashMemAllocInBytes)( + const BrotliEncoderParams* params, BROTLI_BOOL one_shot, + size_t input_size) { + size_t num_nodes = (size_t)1 << params->lgwin; + if (one_shot && input_size < num_nodes) { + num_nodes = input_size; + } + return sizeof(uint32_t) * BUCKET_SIZE + 2 * sizeof(uint32_t) * num_nodes; +} + +static BROTLI_INLINE size_t FN(LeftChildIndex)( + HashToBinaryTree* BROTLI_RESTRICT self, + const size_t pos) { + return 2 * (pos & self->window_mask_); +} + +static BROTLI_INLINE size_t FN(RightChildIndex)( + HashToBinaryTree* BROTLI_RESTRICT self, + const size_t pos) { + return 2 * (pos & self->window_mask_) + 1; +} + +/* Stores the hash of the next 4 bytes and in a single tree-traversal, the + hash bucket's binary tree is searched for matches and is re-rooted at the + current position. + + If less than MAX_TREE_COMP_LENGTH data is available, the hash bucket of the + current position is searched for matches, but the state of the hash table + is not changed, since we can not know the final sorting order of the + current (incomplete) sequence. + + This function must be called with increasing cur_ix positions. */ +static BROTLI_INLINE BackwardMatch* FN(StoreAndFindMatches)( + HashToBinaryTree* BROTLI_RESTRICT self, const uint8_t* BROTLI_RESTRICT data, + const size_t cur_ix, const size_t ring_buffer_mask, const size_t max_length, + const size_t max_backward, size_t* const BROTLI_RESTRICT best_len, + BackwardMatch* BROTLI_RESTRICT matches) { + const size_t cur_ix_masked = cur_ix & ring_buffer_mask; + const size_t max_comp_len = + BROTLI_MIN(size_t, max_length, MAX_TREE_COMP_LENGTH); + const BROTLI_BOOL should_reroot_tree = + TO_BROTLI_BOOL(max_length >= MAX_TREE_COMP_LENGTH); + const uint32_t key = FN(HashBytes)(&data[cur_ix_masked]); + uint32_t* BROTLI_RESTRICT buckets = self->buckets_; + uint32_t* BROTLI_RESTRICT forest = self->forest_; + size_t prev_ix = buckets[key]; + /* The forest index of the rightmost node of the left subtree of the new + root, updated as we traverse and re-root the tree of the hash bucket. */ + size_t node_left = FN(LeftChildIndex)(self, cur_ix); + /* The forest index of the leftmost node of the right subtree of the new + root, updated as we traverse and re-root the tree of the hash bucket. */ + size_t node_right = FN(RightChildIndex)(self, cur_ix); + /* The match length of the rightmost node of the left subtree of the new + root, updated as we traverse and re-root the tree of the hash bucket. */ + size_t best_len_left = 0; + /* The match length of the leftmost node of the right subtree of the new + root, updated as we traverse and re-root the tree of the hash bucket. */ + size_t best_len_right = 0; + size_t depth_remaining; + if (should_reroot_tree) { + buckets[key] = (uint32_t)cur_ix; + } + for (depth_remaining = MAX_TREE_SEARCH_DEPTH; ; --depth_remaining) { + const size_t backward = cur_ix - prev_ix; + const size_t prev_ix_masked = prev_ix & ring_buffer_mask; + if (backward == 0 || backward > max_backward || depth_remaining == 0) { + if (should_reroot_tree) { + forest[node_left] = self->invalid_pos_; + forest[node_right] = self->invalid_pos_; + } + break; + } + { + const size_t cur_len = BROTLI_MIN(size_t, best_len_left, best_len_right); + size_t len; + BROTLI_DCHECK(cur_len <= MAX_TREE_COMP_LENGTH); + len = cur_len + + FindMatchLengthWithLimit(&data[cur_ix_masked + cur_len], + &data[prev_ix_masked + cur_len], + max_length - cur_len); + BROTLI_DCHECK( + 0 == memcmp(&data[cur_ix_masked], &data[prev_ix_masked], len)); + if (matches && len > *best_len) { + *best_len = len; + InitBackwardMatch(matches++, backward, len); + } + if (len >= max_comp_len) { + if (should_reroot_tree) { + forest[node_left] = forest[FN(LeftChildIndex)(self, prev_ix)]; + forest[node_right] = forest[FN(RightChildIndex)(self, prev_ix)]; + } + break; + } + if (data[cur_ix_masked + len] > data[prev_ix_masked + len]) { + best_len_left = len; + if (should_reroot_tree) { + forest[node_left] = (uint32_t)prev_ix; + } + node_left = FN(RightChildIndex)(self, prev_ix); + prev_ix = forest[node_left]; + } else { + best_len_right = len; + if (should_reroot_tree) { + forest[node_right] = (uint32_t)prev_ix; + } + node_right = FN(LeftChildIndex)(self, prev_ix); + prev_ix = forest[node_right]; + } + } + } + return matches; +} + +/* Finds all backward matches of &data[cur_ix & ring_buffer_mask] up to the + length of max_length and stores the position cur_ix in the hash table. + + Sets *num_matches to the number of matches found, and stores the found + matches in matches[0] to matches[*num_matches - 1]. The matches will be + sorted by strictly increasing length and (non-strictly) increasing + distance. */ +static BROTLI_INLINE size_t FN(FindAllMatches)( + HashToBinaryTree* BROTLI_RESTRICT self, + const BrotliEncoderDictionary* dictionary, + const uint8_t* BROTLI_RESTRICT data, + const size_t ring_buffer_mask, const size_t cur_ix, + const size_t max_length, const size_t max_backward, + const size_t dictionary_distance, const BrotliEncoderParams* params, + BackwardMatch* matches) { + BackwardMatch* const orig_matches = matches; + const size_t cur_ix_masked = cur_ix & ring_buffer_mask; + size_t best_len = 1; + const size_t short_match_max_backward = + params->quality != HQ_ZOPFLIFICATION_QUALITY ? 16 : 64; + size_t stop = cur_ix - short_match_max_backward; + uint32_t dict_matches[BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN + 1]; + size_t i; + if (cur_ix < short_match_max_backward) { stop = 0; } + for (i = cur_ix - 1; i > stop && best_len <= 2; --i) { + size_t prev_ix = i; + const size_t backward = cur_ix - prev_ix; + if (BROTLI_PREDICT_FALSE(backward > max_backward)) { + break; + } + prev_ix &= ring_buffer_mask; + if (data[cur_ix_masked] != data[prev_ix] || + data[cur_ix_masked + 1] != data[prev_ix + 1]) { + continue; + } + { + const size_t len = + FindMatchLengthWithLimit(&data[prev_ix], &data[cur_ix_masked], + max_length); + if (len > best_len) { + best_len = len; + InitBackwardMatch(matches++, backward, len); + } + } + } + if (best_len < max_length) { + matches = FN(StoreAndFindMatches)(self, data, cur_ix, + ring_buffer_mask, max_length, max_backward, &best_len, matches); + } + for (i = 0; i <= BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN; ++i) { + dict_matches[i] = kInvalidMatch; + } + { + size_t minlen = BROTLI_MAX(size_t, 4, best_len + 1); + if (BrotliFindAllStaticDictionaryMatches(dictionary, + &data[cur_ix_masked], minlen, max_length, &dict_matches[0])) { + size_t maxlen = BROTLI_MIN( + size_t, BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN, max_length); + size_t l; + for (l = minlen; l <= maxlen; ++l) { + uint32_t dict_id = dict_matches[l]; + if (dict_id < kInvalidMatch) { + size_t distance = dictionary_distance + (dict_id >> 5) + 1; + if (distance <= params->dist.max_distance) { + InitDictionaryBackwardMatch(matches++, distance, l, dict_id & 31); + } + } + } + } + } + return (size_t)(matches - orig_matches); +} + +/* Stores the hash of the next 4 bytes and re-roots the binary tree at the + current sequence, without returning any matches. + REQUIRES: ix + MAX_TREE_COMP_LENGTH <= end-of-current-block */ +static BROTLI_INLINE void FN(Store)(HashToBinaryTree* BROTLI_RESTRICT self, + const uint8_t* BROTLI_RESTRICT data, + const size_t mask, const size_t ix) { + /* Maximum distance is window size - 16, see section 9.1. of the spec. */ + const size_t max_backward = self->window_mask_ - BROTLI_WINDOW_GAP + 1; + FN(StoreAndFindMatches)(self, data, ix, mask, MAX_TREE_COMP_LENGTH, + max_backward, NULL, NULL); +} + +static BROTLI_INLINE void FN(StoreRange)(HashToBinaryTree* BROTLI_RESTRICT self, + const uint8_t* BROTLI_RESTRICT data, const size_t mask, + const size_t ix_start, const size_t ix_end) { + size_t i = ix_start; + size_t j = ix_start; + if (ix_start + 63 <= ix_end) { + i = ix_end - 63; + } + if (ix_start + 512 <= i) { + for (; j < i; j += 8) { + FN(Store)(self, data, mask, j); + } + } + for (; i < ix_end; ++i) { + FN(Store)(self, data, mask, i); + } +} + +static BROTLI_INLINE void FN(StitchToPreviousBlock)( + HashToBinaryTree* BROTLI_RESTRICT self, + size_t num_bytes, size_t position, const uint8_t* ringbuffer, + size_t ringbuffer_mask) { + if (num_bytes >= FN(HashTypeLength)() - 1 && + position >= MAX_TREE_COMP_LENGTH) { + /* Store the last `MAX_TREE_COMP_LENGTH - 1` positions in the hasher. + These could not be calculated before, since they require knowledge + of both the previous and the current block. */ + const size_t i_start = position - MAX_TREE_COMP_LENGTH + 1; + const size_t i_end = BROTLI_MIN(size_t, position, i_start + num_bytes); + size_t i; + for (i = i_start; i < i_end; ++i) { + /* Maximum distance is window size - 16, see section 9.1. of the spec. + Furthermore, we have to make sure that we don't look further back + from the start of the next block than the window size, otherwise we + could access already overwritten areas of the ring-buffer. */ + const size_t max_backward = + self->window_mask_ - BROTLI_MAX(size_t, + BROTLI_WINDOW_GAP - 1, + position - i); + /* We know that i + MAX_TREE_COMP_LENGTH <= position + num_bytes, i.e. the + end of the current block and that we have at least + MAX_TREE_COMP_LENGTH tail in the ring-buffer. */ + FN(StoreAndFindMatches)(self, ringbuffer, i, ringbuffer_mask, + MAX_TREE_COMP_LENGTH, max_backward, NULL, NULL); + } + } +} + +#undef BUCKET_SIZE + +#undef HashToBinaryTree diff --git a/modules/brotli/enc/histogram.c b/modules/brotli/enc/histogram.c new file mode 100644 index 0000000000..6da2ff6bb4 --- /dev/null +++ b/modules/brotli/enc/histogram.c @@ -0,0 +1,100 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Build per-context histograms of literals, commands and distance codes. */ + +#include "./histogram.h" + +#include "../common/context.h" +#include "./block_splitter.h" +#include "./command.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +typedef struct BlockSplitIterator { + const BlockSplit* split_; /* Not owned. */ + size_t idx_; + size_t type_; + size_t length_; +} BlockSplitIterator; + +static void InitBlockSplitIterator(BlockSplitIterator* self, + const BlockSplit* split) { + self->split_ = split; + self->idx_ = 0; + self->type_ = 0; + self->length_ = split->lengths ? split->lengths[0] : 0; +} + +static void BlockSplitIteratorNext(BlockSplitIterator* self) { + if (self->length_ == 0) { + ++self->idx_; + self->type_ = self->split_->types[self->idx_]; + self->length_ = self->split_->lengths[self->idx_]; + } + --self->length_; +} + +void BrotliBuildHistogramsWithContext( + const Command* cmds, const size_t num_commands, + const BlockSplit* literal_split, const BlockSplit* insert_and_copy_split, + const BlockSplit* dist_split, const uint8_t* ringbuffer, size_t start_pos, + size_t mask, uint8_t prev_byte, uint8_t prev_byte2, + const ContextType* context_modes, HistogramLiteral* literal_histograms, + HistogramCommand* insert_and_copy_histograms, + HistogramDistance* copy_dist_histograms) { + size_t pos = start_pos; + BlockSplitIterator literal_it; + BlockSplitIterator insert_and_copy_it; + BlockSplitIterator dist_it; + size_t i; + + InitBlockSplitIterator(&literal_it, literal_split); + InitBlockSplitIterator(&insert_and_copy_it, insert_and_copy_split); + InitBlockSplitIterator(&dist_it, dist_split); + for (i = 0; i < num_commands; ++i) { + const Command* cmd = &cmds[i]; + size_t j; + BlockSplitIteratorNext(&insert_and_copy_it); + HistogramAddCommand(&insert_and_copy_histograms[insert_and_copy_it.type_], + cmd->cmd_prefix_); + /* TODO: unwrap iterator blocks. */ + for (j = cmd->insert_len_; j != 0; --j) { + size_t context; + BlockSplitIteratorNext(&literal_it); + context = literal_it.type_; + if (context_modes) { + ContextLut lut = BROTLI_CONTEXT_LUT(context_modes[context]); + context = (context << BROTLI_LITERAL_CONTEXT_BITS) + + BROTLI_CONTEXT(prev_byte, prev_byte2, lut); + } + HistogramAddLiteral(&literal_histograms[context], + ringbuffer[pos & mask]); + prev_byte2 = prev_byte; + prev_byte = ringbuffer[pos & mask]; + ++pos; + } + pos += CommandCopyLen(cmd); + if (CommandCopyLen(cmd)) { + prev_byte2 = ringbuffer[(pos - 2) & mask]; + prev_byte = ringbuffer[(pos - 1) & mask]; + if (cmd->cmd_prefix_ >= 128) { + size_t context; + BlockSplitIteratorNext(&dist_it); + context = (dist_it.type_ << BROTLI_DISTANCE_CONTEXT_BITS) + + CommandDistanceContext(cmd); + HistogramAddDistance(©_dist_histograms[context], + cmd->dist_prefix_ & 0x3FF); + } + } + } +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/histogram.h b/modules/brotli/enc/histogram.h new file mode 100644 index 0000000000..42af3c3f9d --- /dev/null +++ b/modules/brotli/enc/histogram.h @@ -0,0 +1,63 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Models the histograms of literals, commands and distance codes. */ + +#ifndef BROTLI_ENC_HISTOGRAM_H_ +#define BROTLI_ENC_HISTOGRAM_H_ + +#include <string.h> /* memset */ + +#include "../common/constants.h" +#include "../common/context.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./block_splitter.h" +#include "./command.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* The distance symbols effectively used by "Large Window Brotli" (32-bit). */ +#define BROTLI_NUM_HISTOGRAM_DISTANCE_SYMBOLS 544 + +#define FN(X) X ## Literal +#define DATA_SIZE BROTLI_NUM_LITERAL_SYMBOLS +#define DataType uint8_t +#include "./histogram_inc.h" /* NOLINT(build/include) */ +#undef DataType +#undef DATA_SIZE +#undef FN + +#define FN(X) X ## Command +#define DataType uint16_t +#define DATA_SIZE BROTLI_NUM_COMMAND_SYMBOLS +#include "./histogram_inc.h" /* NOLINT(build/include) */ +#undef DATA_SIZE +#undef FN + +#define FN(X) X ## Distance +#define DATA_SIZE BROTLI_NUM_HISTOGRAM_DISTANCE_SYMBOLS +#include "./histogram_inc.h" /* NOLINT(build/include) */ +#undef DataType +#undef DATA_SIZE +#undef FN + +BROTLI_INTERNAL void BrotliBuildHistogramsWithContext( + const Command* cmds, const size_t num_commands, + const BlockSplit* literal_split, const BlockSplit* insert_and_copy_split, + const BlockSplit* dist_split, const uint8_t* ringbuffer, size_t pos, + size_t mask, uint8_t prev_byte, uint8_t prev_byte2, + const ContextType* context_modes, HistogramLiteral* literal_histograms, + HistogramCommand* insert_and_copy_histograms, + HistogramDistance* copy_dist_histograms); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_HISTOGRAM_H_ */ diff --git a/modules/brotli/enc/histogram_inc.h b/modules/brotli/enc/histogram_inc.h new file mode 100644 index 0000000000..50eaf7468d --- /dev/null +++ b/modules/brotli/enc/histogram_inc.h @@ -0,0 +1,51 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: Histogram, DATA_SIZE, DataType */ + +/* A simple container for histograms of data in blocks. */ + +typedef struct FN(Histogram) { + uint32_t data_[DATA_SIZE]; + size_t total_count_; + double bit_cost_; +} FN(Histogram); + +static BROTLI_INLINE void FN(HistogramClear)(FN(Histogram)* self) { + memset(self->data_, 0, sizeof(self->data_)); + self->total_count_ = 0; + self->bit_cost_ = HUGE_VAL; +} + +static BROTLI_INLINE void FN(ClearHistograms)( + FN(Histogram)* array, size_t length) { + size_t i; + for (i = 0; i < length; ++i) FN(HistogramClear)(array + i); +} + +static BROTLI_INLINE void FN(HistogramAdd)(FN(Histogram)* self, size_t val) { + ++self->data_[val]; + ++self->total_count_; +} + +static BROTLI_INLINE void FN(HistogramAddVector)(FN(Histogram)* self, + const DataType* p, size_t n) { + self->total_count_ += n; + n += 1; + while (--n) ++self->data_[*p++]; +} + +static BROTLI_INLINE void FN(HistogramAddHistogram)(FN(Histogram)* self, + const FN(Histogram)* v) { + size_t i; + self->total_count_ += v->total_count_; + for (i = 0; i < DATA_SIZE; ++i) { + self->data_[i] += v->data_[i]; + } +} + +static BROTLI_INLINE size_t FN(HistogramDataSize)(void) { return DATA_SIZE; } diff --git a/modules/brotli/enc/literal_cost.c b/modules/brotli/enc/literal_cost.c new file mode 100644 index 0000000000..c231100e34 --- /dev/null +++ b/modules/brotli/enc/literal_cost.c @@ -0,0 +1,175 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Literal cost model to allow backward reference replacement to be efficient. +*/ + +#include "./literal_cost.h" + +#include "../common/platform.h" +#include <brotli/types.h> +#include "./fast_log.h" +#include "./utf8_util.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +static size_t UTF8Position(size_t last, size_t c, size_t clamp) { + if (c < 128) { + return 0; /* Next one is the 'Byte 1' again. */ + } else if (c >= 192) { /* Next one is the 'Byte 2' of utf-8 encoding. */ + return BROTLI_MIN(size_t, 1, clamp); + } else { + /* Let's decide over the last byte if this ends the sequence. */ + if (last < 0xE0) { + return 0; /* Completed two or three byte coding. */ + } else { /* Next one is the 'Byte 3' of utf-8 encoding. */ + return BROTLI_MIN(size_t, 2, clamp); + } + } +} + +static size_t DecideMultiByteStatsLevel(size_t pos, size_t len, size_t mask, + const uint8_t* data) { + size_t counts[3] = { 0 }; + size_t max_utf8 = 1; /* should be 2, but 1 compresses better. */ + size_t last_c = 0; + size_t i; + for (i = 0; i < len; ++i) { + size_t c = data[(pos + i) & mask]; + ++counts[UTF8Position(last_c, c, 2)]; + last_c = c; + } + if (counts[2] < 500) { + max_utf8 = 1; + } + if (counts[1] + counts[2] < 25) { + max_utf8 = 0; + } + return max_utf8; +} + +static void EstimateBitCostsForLiteralsUTF8(size_t pos, size_t len, size_t mask, + const uint8_t* data, float* cost) { + /* max_utf8 is 0 (normal ASCII single byte modeling), + 1 (for 2-byte UTF-8 modeling), or 2 (for 3-byte UTF-8 modeling). */ + const size_t max_utf8 = DecideMultiByteStatsLevel(pos, len, mask, data); + size_t histogram[3][256] = { { 0 } }; + size_t window_half = 495; + size_t in_window = BROTLI_MIN(size_t, window_half, len); + size_t in_window_utf8[3] = { 0 }; + + size_t i; + { /* Bootstrap histograms. */ + size_t last_c = 0; + size_t utf8_pos = 0; + for (i = 0; i < in_window; ++i) { + size_t c = data[(pos + i) & mask]; + ++histogram[utf8_pos][c]; + ++in_window_utf8[utf8_pos]; + utf8_pos = UTF8Position(last_c, c, max_utf8); + last_c = c; + } + } + + /* Compute bit costs with sliding window. */ + for (i = 0; i < len; ++i) { + if (i >= window_half) { + /* Remove a byte in the past. */ + size_t c = + i < window_half + 1 ? 0 : data[(pos + i - window_half - 1) & mask]; + size_t last_c = + i < window_half + 2 ? 0 : data[(pos + i - window_half - 2) & mask]; + size_t utf8_pos2 = UTF8Position(last_c, c, max_utf8); + --histogram[utf8_pos2][data[(pos + i - window_half) & mask]]; + --in_window_utf8[utf8_pos2]; + } + if (i + window_half < len) { + /* Add a byte in the future. */ + size_t c = data[(pos + i + window_half - 1) & mask]; + size_t last_c = data[(pos + i + window_half - 2) & mask]; + size_t utf8_pos2 = UTF8Position(last_c, c, max_utf8); + ++histogram[utf8_pos2][data[(pos + i + window_half) & mask]]; + ++in_window_utf8[utf8_pos2]; + } + { + size_t c = i < 1 ? 0 : data[(pos + i - 1) & mask]; + size_t last_c = i < 2 ? 0 : data[(pos + i - 2) & mask]; + size_t utf8_pos = UTF8Position(last_c, c, max_utf8); + size_t masked_pos = (pos + i) & mask; + size_t histo = histogram[utf8_pos][data[masked_pos]]; + double lit_cost; + if (histo == 0) { + histo = 1; + } + lit_cost = FastLog2(in_window_utf8[utf8_pos]) - FastLog2(histo); + lit_cost += 0.02905; + if (lit_cost < 1.0) { + lit_cost *= 0.5; + lit_cost += 0.5; + } + /* Make the first bytes more expensive -- seems to help, not sure why. + Perhaps because the entropy source is changing its properties + rapidly in the beginning of the file, perhaps because the beginning + of the data is a statistical "anomaly". */ + if (i < 2000) { + lit_cost += 0.7 - ((double)(2000 - i) / 2000.0 * 0.35); + } + cost[i] = (float)lit_cost; + } + } +} + +void BrotliEstimateBitCostsForLiterals(size_t pos, size_t len, size_t mask, + const uint8_t* data, float* cost) { + if (BrotliIsMostlyUTF8(data, pos, mask, len, kMinUTF8Ratio)) { + EstimateBitCostsForLiteralsUTF8(pos, len, mask, data, cost); + return; + } else { + size_t histogram[256] = { 0 }; + size_t window_half = 2000; + size_t in_window = BROTLI_MIN(size_t, window_half, len); + + /* Bootstrap histogram. */ + size_t i; + for (i = 0; i < in_window; ++i) { + ++histogram[data[(pos + i) & mask]]; + } + + /* Compute bit costs with sliding window. */ + for (i = 0; i < len; ++i) { + size_t histo; + if (i >= window_half) { + /* Remove a byte in the past. */ + --histogram[data[(pos + i - window_half) & mask]]; + --in_window; + } + if (i + window_half < len) { + /* Add a byte in the future. */ + ++histogram[data[(pos + i + window_half) & mask]]; + ++in_window; + } + histo = histogram[data[(pos + i) & mask]]; + if (histo == 0) { + histo = 1; + } + { + double lit_cost = FastLog2(in_window) - FastLog2(histo); + lit_cost += 0.029; + if (lit_cost < 1.0) { + lit_cost *= 0.5; + lit_cost += 0.5; + } + cost[i] = (float)lit_cost; + } + } + } +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/literal_cost.h b/modules/brotli/enc/literal_cost.h new file mode 100644 index 0000000000..8f53f39d3f --- /dev/null +++ b/modules/brotli/enc/literal_cost.h @@ -0,0 +1,30 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Literal cost model to allow backward reference replacement to be efficient. +*/ + +#ifndef BROTLI_ENC_LITERAL_COST_H_ +#define BROTLI_ENC_LITERAL_COST_H_ + +#include "../common/platform.h" +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* Estimates how many bits the literals in the interval [pos, pos + len) in the + ring-buffer (data, mask) will take entropy coded and writes these estimates + to the cost[0..len) array. */ +BROTLI_INTERNAL void BrotliEstimateBitCostsForLiterals( + size_t pos, size_t len, size_t mask, const uint8_t* data, float* cost); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_LITERAL_COST_H_ */ diff --git a/modules/brotli/enc/memory.c b/modules/brotli/enc/memory.c new file mode 100644 index 0000000000..f6ed7e3cb7 --- /dev/null +++ b/modules/brotli/enc/memory.c @@ -0,0 +1,170 @@ +/* Copyright 2015 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Algorithms for distributing the literals and commands of a metablock between + block types and contexts. */ + +#include "./memory.h" + +#include <stdlib.h> /* exit, free, malloc */ +#include <string.h> /* memcpy */ + +#include "../common/platform.h" +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +#define MAX_PERM_ALLOCATED 128 +#define MAX_NEW_ALLOCATED 64 +#define MAX_NEW_FREED 64 + +#define PERM_ALLOCATED_OFFSET 0 +#define NEW_ALLOCATED_OFFSET MAX_PERM_ALLOCATED +#define NEW_FREED_OFFSET (MAX_PERM_ALLOCATED + MAX_NEW_ALLOCATED) + +void BrotliInitMemoryManager( + MemoryManager* m, brotli_alloc_func alloc_func, brotli_free_func free_func, + void* opaque) { + if (!alloc_func) { + m->alloc_func = BrotliDefaultAllocFunc; + m->free_func = BrotliDefaultFreeFunc; + m->opaque = 0; + } else { + m->alloc_func = alloc_func; + m->free_func = free_func; + m->opaque = opaque; + } +#if !defined(BROTLI_ENCODER_EXIT_ON_OOM) + m->is_oom = BROTLI_FALSE; + m->perm_allocated = 0; + m->new_allocated = 0; + m->new_freed = 0; +#endif /* BROTLI_ENCODER_EXIT_ON_OOM */ +} + +#if defined(BROTLI_ENCODER_EXIT_ON_OOM) + +void* BrotliAllocate(MemoryManager* m, size_t n) { + void* result = m->alloc_func(m->opaque, n); + if (!result) exit(EXIT_FAILURE); + return result; +} + +void BrotliFree(MemoryManager* m, void* p) { + m->free_func(m->opaque, p); +} + +void BrotliWipeOutMemoryManager(MemoryManager* m) { + BROTLI_UNUSED(m); +} + +#else /* BROTLI_ENCODER_EXIT_ON_OOM */ + +static void SortPointers(void** items, const size_t n) { + /* Shell sort. */ + static const size_t gaps[] = {23, 10, 4, 1}; + int g = 0; + for (; g < 4; ++g) { + size_t gap = gaps[g]; + size_t i; + for (i = gap; i < n; ++i) { + size_t j = i; + void* tmp = items[i]; + for (; j >= gap && tmp < items[j - gap]; j -= gap) { + items[j] = items[j - gap]; + } + items[j] = tmp; + } + } +} + +static size_t Annihilate(void** a, size_t a_len, void** b, size_t b_len) { + size_t a_read_index = 0; + size_t b_read_index = 0; + size_t a_write_index = 0; + size_t b_write_index = 0; + size_t annihilated = 0; + while (a_read_index < a_len && b_read_index < b_len) { + if (a[a_read_index] == b[b_read_index]) { + a_read_index++; + b_read_index++; + annihilated++; + } else if (a[a_read_index] < b[b_read_index]) { + a[a_write_index++] = a[a_read_index++]; + } else { + b[b_write_index++] = b[b_read_index++]; + } + } + while (a_read_index < a_len) a[a_write_index++] = a[a_read_index++]; + while (b_read_index < b_len) b[b_write_index++] = b[b_read_index++]; + return annihilated; +} + +static void CollectGarbagePointers(MemoryManager* m) { + size_t annihilated; + SortPointers(m->pointers + NEW_ALLOCATED_OFFSET, m->new_allocated); + SortPointers(m->pointers + NEW_FREED_OFFSET, m->new_freed); + annihilated = Annihilate( + m->pointers + NEW_ALLOCATED_OFFSET, m->new_allocated, + m->pointers + NEW_FREED_OFFSET, m->new_freed); + m->new_allocated -= annihilated; + m->new_freed -= annihilated; + + if (m->new_freed != 0) { + annihilated = Annihilate( + m->pointers + PERM_ALLOCATED_OFFSET, m->perm_allocated, + m->pointers + NEW_FREED_OFFSET, m->new_freed); + m->perm_allocated -= annihilated; + m->new_freed -= annihilated; + BROTLI_DCHECK(m->new_freed == 0); + } + + if (m->new_allocated != 0) { + BROTLI_DCHECK(m->perm_allocated + m->new_allocated <= MAX_PERM_ALLOCATED); + memcpy(m->pointers + PERM_ALLOCATED_OFFSET + m->perm_allocated, + m->pointers + NEW_ALLOCATED_OFFSET, + sizeof(void*) * m->new_allocated); + m->perm_allocated += m->new_allocated; + m->new_allocated = 0; + SortPointers(m->pointers + PERM_ALLOCATED_OFFSET, m->perm_allocated); + } +} + +void* BrotliAllocate(MemoryManager* m, size_t n) { + void* result = m->alloc_func(m->opaque, n); + if (!result) { + m->is_oom = BROTLI_TRUE; + return NULL; + } + if (m->new_allocated == MAX_NEW_ALLOCATED) CollectGarbagePointers(m); + m->pointers[NEW_ALLOCATED_OFFSET + (m->new_allocated++)] = result; + return result; +} + +void BrotliFree(MemoryManager* m, void* p) { + if (!p) return; + m->free_func(m->opaque, p); + if (m->new_freed == MAX_NEW_FREED) CollectGarbagePointers(m); + m->pointers[NEW_FREED_OFFSET + (m->new_freed++)] = p; +} + +void BrotliWipeOutMemoryManager(MemoryManager* m) { + size_t i; + CollectGarbagePointers(m); + /* Now all unfreed pointers are in perm-allocated list. */ + for (i = 0; i < m->perm_allocated; ++i) { + m->free_func(m->opaque, m->pointers[PERM_ALLOCATED_OFFSET + i]); + } + m->perm_allocated = 0; +} + +#endif /* BROTLI_ENCODER_EXIT_ON_OOM */ + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/memory.h b/modules/brotli/enc/memory.h new file mode 100644 index 0000000000..832e7b2b6e --- /dev/null +++ b/modules/brotli/enc/memory.h @@ -0,0 +1,114 @@ +/* Copyright 2016 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Macros for memory management. */ + +#ifndef BROTLI_ENC_MEMORY_H_ +#define BROTLI_ENC_MEMORY_H_ + +#include <string.h> /* memcpy */ + +#include "../common/platform.h" +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +#if !defined(BROTLI_ENCODER_CLEANUP_ON_OOM) && \ + !defined(BROTLI_ENCODER_EXIT_ON_OOM) +#define BROTLI_ENCODER_EXIT_ON_OOM +#endif + +typedef struct MemoryManager { + brotli_alloc_func alloc_func; + brotli_free_func free_func; + void* opaque; +#if !defined(BROTLI_ENCODER_EXIT_ON_OOM) + BROTLI_BOOL is_oom; + size_t perm_allocated; + size_t new_allocated; + size_t new_freed; + void* pointers[256]; +#endif /* BROTLI_ENCODER_EXIT_ON_OOM */ +} MemoryManager; + +BROTLI_INTERNAL void BrotliInitMemoryManager( + MemoryManager* m, brotli_alloc_func alloc_func, brotli_free_func free_func, + void* opaque); + +BROTLI_INTERNAL void* BrotliAllocate(MemoryManager* m, size_t n); +#define BROTLI_ALLOC(M, T, N) \ + ((N) > 0 ? ((T*)BrotliAllocate((M), (N) * sizeof(T))) : NULL) + +BROTLI_INTERNAL void BrotliFree(MemoryManager* m, void* p); +#define BROTLI_FREE(M, P) { \ + BrotliFree((M), (P)); \ + P = NULL; \ +} + +#if defined(BROTLI_ENCODER_EXIT_ON_OOM) +#define BROTLI_IS_OOM(M) (!!0) +#else /* BROTLI_ENCODER_EXIT_ON_OOM */ +#define BROTLI_IS_OOM(M) (!!(M)->is_oom) +#endif /* BROTLI_ENCODER_EXIT_ON_OOM */ + +/* +BROTLI_IS_NULL is a fake check, BROTLI_IS_OOM does the heavy lifting. +The only purpose of it is to explain static analyzers the state of things. +NB: use ONLY together with BROTLI_IS_OOM + AND ONLY for allocations in the current scope. + */ +#if defined(__clang_analyzer__) && !defined(BROTLI_ENCODER_EXIT_ON_OOM) +#define BROTLI_IS_NULL(A) ((A) == nullptr) +#else /* defined(__clang_analyzer__) */ +#define BROTLI_IS_NULL(A) (!!0) +#endif /* defined(__clang_analyzer__) */ + +BROTLI_INTERNAL void BrotliWipeOutMemoryManager(MemoryManager* m); + +/* +Dynamically grows array capacity to at least the requested size +M: MemoryManager +T: data type +A: array +C: capacity +R: requested size +*/ +#define BROTLI_ENSURE_CAPACITY(M, T, A, C, R) { \ + if (C < (R)) { \ + size_t _new_size = (C == 0) ? (R) : C; \ + T* new_array; \ + while (_new_size < (R)) _new_size *= 2; \ + new_array = BROTLI_ALLOC((M), T, _new_size); \ + if (!BROTLI_IS_OOM(M) && !BROTLI_IS_NULL(new_array) && C != 0) \ + memcpy(new_array, A, C * sizeof(T)); \ + BROTLI_FREE((M), A); \ + A = new_array; \ + C = _new_size; \ + } \ +} + +/* +Appends value and dynamically grows array capacity when needed +M: MemoryManager +T: data type +A: array +C: array capacity +S: array size +V: value to append +*/ +#define BROTLI_ENSURE_CAPACITY_APPEND(M, T, A, C, S, V) { \ + (S)++; \ + BROTLI_ENSURE_CAPACITY(M, T, A, C, S); \ + A[(S) - 1] = (V); \ +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_MEMORY_H_ */ diff --git a/modules/brotli/enc/metablock.c b/modules/brotli/enc/metablock.c new file mode 100644 index 0000000000..5aa4d4f17c --- /dev/null +++ b/modules/brotli/enc/metablock.c @@ -0,0 +1,663 @@ +/* Copyright 2015 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Algorithms for distributing the literals and commands of a metablock between + block types and contexts. */ + +#include "./metablock.h" + +#include "../common/constants.h" +#include "../common/context.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./bit_cost.h" +#include "./block_splitter.h" +#include "./cluster.h" +#include "./entropy_encode.h" +#include "./histogram.h" +#include "./memory.h" +#include "./quality.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +void BrotliInitDistanceParams(BrotliEncoderParams* params, + uint32_t npostfix, uint32_t ndirect) { + BrotliDistanceParams* dist_params = ¶ms->dist; + uint32_t alphabet_size_max; + uint32_t alphabet_size_limit; + uint32_t max_distance; + + dist_params->distance_postfix_bits = npostfix; + dist_params->num_direct_distance_codes = ndirect; + + alphabet_size_max = BROTLI_DISTANCE_ALPHABET_SIZE( + npostfix, ndirect, BROTLI_MAX_DISTANCE_BITS); + alphabet_size_limit = alphabet_size_max; + max_distance = ndirect + (1U << (BROTLI_MAX_DISTANCE_BITS + npostfix + 2)) - + (1U << (npostfix + 2)); + + if (params->large_window) { + BrotliDistanceCodeLimit limit = BrotliCalculateDistanceCodeLimit( + BROTLI_MAX_ALLOWED_DISTANCE, npostfix, ndirect); + alphabet_size_max = BROTLI_DISTANCE_ALPHABET_SIZE( + npostfix, ndirect, BROTLI_LARGE_MAX_DISTANCE_BITS); + alphabet_size_limit = limit.max_alphabet_size; + max_distance = limit.max_distance; + } + + dist_params->alphabet_size_max = alphabet_size_max; + dist_params->alphabet_size_limit = alphabet_size_limit; + dist_params->max_distance = max_distance; +} + +static void RecomputeDistancePrefixes(Command* cmds, + size_t num_commands, + const BrotliDistanceParams* orig_params, + const BrotliDistanceParams* new_params) { + size_t i; + + if (orig_params->distance_postfix_bits == new_params->distance_postfix_bits && + orig_params->num_direct_distance_codes == + new_params->num_direct_distance_codes) { + return; + } + + for (i = 0; i < num_commands; ++i) { + Command* cmd = &cmds[i]; + if (CommandCopyLen(cmd) && cmd->cmd_prefix_ >= 128) { + PrefixEncodeCopyDistance(CommandRestoreDistanceCode(cmd, orig_params), + new_params->num_direct_distance_codes, + new_params->distance_postfix_bits, + &cmd->dist_prefix_, + &cmd->dist_extra_); + } + } +} + +static BROTLI_BOOL ComputeDistanceCost(const Command* cmds, + size_t num_commands, + const BrotliDistanceParams* orig_params, + const BrotliDistanceParams* new_params, + double* cost) { + size_t i; + BROTLI_BOOL equal_params = BROTLI_FALSE; + uint16_t dist_prefix; + uint32_t dist_extra; + double extra_bits = 0.0; + HistogramDistance histo; + HistogramClearDistance(&histo); + + if (orig_params->distance_postfix_bits == new_params->distance_postfix_bits && + orig_params->num_direct_distance_codes == + new_params->num_direct_distance_codes) { + equal_params = BROTLI_TRUE; + } + + for (i = 0; i < num_commands; i++) { + const Command* cmd = &cmds[i]; + if (CommandCopyLen(cmd) && cmd->cmd_prefix_ >= 128) { + if (equal_params) { + dist_prefix = cmd->dist_prefix_; + } else { + uint32_t distance = CommandRestoreDistanceCode(cmd, orig_params); + if (distance > new_params->max_distance) { + return BROTLI_FALSE; + } + PrefixEncodeCopyDistance(distance, + new_params->num_direct_distance_codes, + new_params->distance_postfix_bits, + &dist_prefix, + &dist_extra); + } + HistogramAddDistance(&histo, dist_prefix & 0x3FF); + extra_bits += dist_prefix >> 10; + } + } + + *cost = BrotliPopulationCostDistance(&histo) + extra_bits; + return BROTLI_TRUE; +} + +void BrotliBuildMetaBlock(MemoryManager* m, + const uint8_t* ringbuffer, + const size_t pos, + const size_t mask, + BrotliEncoderParams* params, + uint8_t prev_byte, + uint8_t prev_byte2, + Command* cmds, + size_t num_commands, + ContextType literal_context_mode, + MetaBlockSplit* mb) { + /* Histogram ids need to fit in one byte. */ + static const size_t kMaxNumberOfHistograms = 256; + HistogramDistance* distance_histograms; + HistogramLiteral* literal_histograms; + ContextType* literal_context_modes = NULL; + size_t literal_histograms_size; + size_t distance_histograms_size; + size_t i; + size_t literal_context_multiplier = 1; + uint32_t npostfix; + uint32_t ndirect_msb = 0; + BROTLI_BOOL check_orig = BROTLI_TRUE; + double best_dist_cost = 1e99; + BrotliEncoderParams orig_params = *params; + BrotliEncoderParams new_params = *params; + + for (npostfix = 0; npostfix <= BROTLI_MAX_NPOSTFIX; npostfix++) { + for (; ndirect_msb < 16; ndirect_msb++) { + uint32_t ndirect = ndirect_msb << npostfix; + BROTLI_BOOL skip; + double dist_cost; + BrotliInitDistanceParams(&new_params, npostfix, ndirect); + if (npostfix == orig_params.dist.distance_postfix_bits && + ndirect == orig_params.dist.num_direct_distance_codes) { + check_orig = BROTLI_FALSE; + } + skip = !ComputeDistanceCost( + cmds, num_commands, + &orig_params.dist, &new_params.dist, &dist_cost); + if (skip || (dist_cost > best_dist_cost)) { + break; + } + best_dist_cost = dist_cost; + params->dist = new_params.dist; + } + if (ndirect_msb > 0) ndirect_msb--; + ndirect_msb /= 2; + } + if (check_orig) { + double dist_cost; + ComputeDistanceCost(cmds, num_commands, + &orig_params.dist, &orig_params.dist, &dist_cost); + if (dist_cost < best_dist_cost) { + /* NB: currently unused; uncomment when more param tuning is added. */ + /* best_dist_cost = dist_cost; */ + params->dist = orig_params.dist; + } + } + RecomputeDistancePrefixes(cmds, num_commands, + &orig_params.dist, ¶ms->dist); + + BrotliSplitBlock(m, cmds, num_commands, + ringbuffer, pos, mask, params, + &mb->literal_split, + &mb->command_split, + &mb->distance_split); + if (BROTLI_IS_OOM(m)) return; + + if (!params->disable_literal_context_modeling) { + literal_context_multiplier = 1 << BROTLI_LITERAL_CONTEXT_BITS; + literal_context_modes = + BROTLI_ALLOC(m, ContextType, mb->literal_split.num_types); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(literal_context_modes)) return; + for (i = 0; i < mb->literal_split.num_types; ++i) { + literal_context_modes[i] = literal_context_mode; + } + } + + literal_histograms_size = + mb->literal_split.num_types * literal_context_multiplier; + literal_histograms = + BROTLI_ALLOC(m, HistogramLiteral, literal_histograms_size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(literal_histograms)) return; + ClearHistogramsLiteral(literal_histograms, literal_histograms_size); + + distance_histograms_size = + mb->distance_split.num_types << BROTLI_DISTANCE_CONTEXT_BITS; + distance_histograms = + BROTLI_ALLOC(m, HistogramDistance, distance_histograms_size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(distance_histograms)) return; + ClearHistogramsDistance(distance_histograms, distance_histograms_size); + + BROTLI_DCHECK(mb->command_histograms == 0); + mb->command_histograms_size = mb->command_split.num_types; + mb->command_histograms = + BROTLI_ALLOC(m, HistogramCommand, mb->command_histograms_size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(mb->command_histograms)) return; + ClearHistogramsCommand(mb->command_histograms, mb->command_histograms_size); + + BrotliBuildHistogramsWithContext(cmds, num_commands, + &mb->literal_split, &mb->command_split, &mb->distance_split, + ringbuffer, pos, mask, prev_byte, prev_byte2, literal_context_modes, + literal_histograms, mb->command_histograms, distance_histograms); + BROTLI_FREE(m, literal_context_modes); + + BROTLI_DCHECK(mb->literal_context_map == 0); + mb->literal_context_map_size = + mb->literal_split.num_types << BROTLI_LITERAL_CONTEXT_BITS; + mb->literal_context_map = + BROTLI_ALLOC(m, uint32_t, mb->literal_context_map_size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(mb->literal_context_map)) return; + + BROTLI_DCHECK(mb->literal_histograms == 0); + mb->literal_histograms_size = mb->literal_context_map_size; + mb->literal_histograms = + BROTLI_ALLOC(m, HistogramLiteral, mb->literal_histograms_size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(mb->literal_histograms)) return; + + BrotliClusterHistogramsLiteral(m, literal_histograms, literal_histograms_size, + kMaxNumberOfHistograms, mb->literal_histograms, + &mb->literal_histograms_size, mb->literal_context_map); + if (BROTLI_IS_OOM(m)) return; + BROTLI_FREE(m, literal_histograms); + + if (params->disable_literal_context_modeling) { + /* Distribute assignment to all contexts. */ + for (i = mb->literal_split.num_types; i != 0;) { + size_t j = 0; + i--; + for (; j < (1 << BROTLI_LITERAL_CONTEXT_BITS); j++) { + mb->literal_context_map[(i << BROTLI_LITERAL_CONTEXT_BITS) + j] = + mb->literal_context_map[i]; + } + } + } + + BROTLI_DCHECK(mb->distance_context_map == 0); + mb->distance_context_map_size = + mb->distance_split.num_types << BROTLI_DISTANCE_CONTEXT_BITS; + mb->distance_context_map = + BROTLI_ALLOC(m, uint32_t, mb->distance_context_map_size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(mb->distance_context_map)) return; + + BROTLI_DCHECK(mb->distance_histograms == 0); + mb->distance_histograms_size = mb->distance_context_map_size; + mb->distance_histograms = + BROTLI_ALLOC(m, HistogramDistance, mb->distance_histograms_size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(mb->distance_histograms)) return; + + BrotliClusterHistogramsDistance(m, distance_histograms, + mb->distance_context_map_size, + kMaxNumberOfHistograms, + mb->distance_histograms, + &mb->distance_histograms_size, + mb->distance_context_map); + if (BROTLI_IS_OOM(m)) return; + BROTLI_FREE(m, distance_histograms); +} + +#define FN(X) X ## Literal +#include "./metablock_inc.h" /* NOLINT(build/include) */ +#undef FN + +#define FN(X) X ## Command +#include "./metablock_inc.h" /* NOLINT(build/include) */ +#undef FN + +#define FN(X) X ## Distance +#include "./metablock_inc.h" /* NOLINT(build/include) */ +#undef FN + +#define BROTLI_MAX_STATIC_CONTEXTS 13 + +/* Greedy block splitter for one block category (literal, command or distance). + Gathers histograms for all context buckets. */ +typedef struct ContextBlockSplitter { + /* Alphabet size of particular block category. */ + size_t alphabet_size_; + size_t num_contexts_; + size_t max_block_types_; + /* We collect at least this many symbols for each block. */ + size_t min_block_size_; + /* We merge histograms A and B if + entropy(A+B) < entropy(A) + entropy(B) + split_threshold_, + where A is the current histogram and B is the histogram of the last or the + second last block type. */ + double split_threshold_; + + size_t num_blocks_; + BlockSplit* split_; /* not owned */ + HistogramLiteral* histograms_; /* not owned */ + size_t* histograms_size_; /* not owned */ + + /* The number of symbols that we want to collect before deciding on whether + or not to merge the block with a previous one or emit a new block. */ + size_t target_block_size_; + /* The number of symbols in the current histogram. */ + size_t block_size_; + /* Offset of the current histogram. */ + size_t curr_histogram_ix_; + /* Offset of the histograms of the previous two block types. */ + size_t last_histogram_ix_[2]; + /* Entropy of the previous two block types. */ + double last_entropy_[2 * BROTLI_MAX_STATIC_CONTEXTS]; + /* The number of times we merged the current block with the last one. */ + size_t merge_last_count_; +} ContextBlockSplitter; + +static void InitContextBlockSplitter( + MemoryManager* m, ContextBlockSplitter* self, size_t alphabet_size, + size_t num_contexts, size_t min_block_size, double split_threshold, + size_t num_symbols, BlockSplit* split, HistogramLiteral** histograms, + size_t* histograms_size) { + size_t max_num_blocks = num_symbols / min_block_size + 1; + size_t max_num_types; + BROTLI_DCHECK(num_contexts <= BROTLI_MAX_STATIC_CONTEXTS); + + self->alphabet_size_ = alphabet_size; + self->num_contexts_ = num_contexts; + self->max_block_types_ = BROTLI_MAX_NUMBER_OF_BLOCK_TYPES / num_contexts; + self->min_block_size_ = min_block_size; + self->split_threshold_ = split_threshold; + self->num_blocks_ = 0; + self->split_ = split; + self->histograms_size_ = histograms_size; + self->target_block_size_ = min_block_size; + self->block_size_ = 0; + self->curr_histogram_ix_ = 0; + self->merge_last_count_ = 0; + + /* We have to allocate one more histogram than the maximum number of block + types for the current histogram when the meta-block is too big. */ + max_num_types = + BROTLI_MIN(size_t, max_num_blocks, self->max_block_types_ + 1); + BROTLI_ENSURE_CAPACITY(m, uint8_t, + split->types, split->types_alloc_size, max_num_blocks); + BROTLI_ENSURE_CAPACITY(m, uint32_t, + split->lengths, split->lengths_alloc_size, max_num_blocks); + if (BROTLI_IS_OOM(m)) return; + split->num_blocks = max_num_blocks; + if (BROTLI_IS_OOM(m)) return; + BROTLI_DCHECK(*histograms == 0); + *histograms_size = max_num_types * num_contexts; + *histograms = BROTLI_ALLOC(m, HistogramLiteral, *histograms_size); + self->histograms_ = *histograms; + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(*histograms)) return; + /* Clear only current histogram. */ + ClearHistogramsLiteral(&self->histograms_[0], num_contexts); + self->last_histogram_ix_[0] = self->last_histogram_ix_[1] = 0; +} + +/* Does either of three things: + (1) emits the current block with a new block type; + (2) emits the current block with the type of the second last block; + (3) merges the current block with the last block. */ +static void ContextBlockSplitterFinishBlock( + ContextBlockSplitter* self, MemoryManager* m, BROTLI_BOOL is_final) { + BlockSplit* split = self->split_; + const size_t num_contexts = self->num_contexts_; + double* last_entropy = self->last_entropy_; + HistogramLiteral* histograms = self->histograms_; + + if (self->block_size_ < self->min_block_size_) { + self->block_size_ = self->min_block_size_; + } + if (self->num_blocks_ == 0) { + size_t i; + /* Create first block. */ + split->lengths[0] = (uint32_t)self->block_size_; + split->types[0] = 0; + + for (i = 0; i < num_contexts; ++i) { + last_entropy[i] = + BitsEntropy(histograms[i].data_, self->alphabet_size_); + last_entropy[num_contexts + i] = last_entropy[i]; + } + ++self->num_blocks_; + ++split->num_types; + self->curr_histogram_ix_ += num_contexts; + if (self->curr_histogram_ix_ < *self->histograms_size_) { + ClearHistogramsLiteral( + &self->histograms_[self->curr_histogram_ix_], self->num_contexts_); + } + self->block_size_ = 0; + } else if (self->block_size_ > 0) { + /* Try merging the set of histograms for the current block type with the + respective set of histograms for the last and second last block types. + Decide over the split based on the total reduction of entropy across + all contexts. */ + double entropy[BROTLI_MAX_STATIC_CONTEXTS]; + HistogramLiteral* combined_histo = + BROTLI_ALLOC(m, HistogramLiteral, 2 * num_contexts); + double combined_entropy[2 * BROTLI_MAX_STATIC_CONTEXTS]; + double diff[2] = { 0.0 }; + size_t i; + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(combined_histo)) return; + for (i = 0; i < num_contexts; ++i) { + size_t curr_histo_ix = self->curr_histogram_ix_ + i; + size_t j; + entropy[i] = BitsEntropy(histograms[curr_histo_ix].data_, + self->alphabet_size_); + for (j = 0; j < 2; ++j) { + size_t jx = j * num_contexts + i; + size_t last_histogram_ix = self->last_histogram_ix_[j] + i; + combined_histo[jx] = histograms[curr_histo_ix]; + HistogramAddHistogramLiteral(&combined_histo[jx], + &histograms[last_histogram_ix]); + combined_entropy[jx] = BitsEntropy( + &combined_histo[jx].data_[0], self->alphabet_size_); + diff[j] += combined_entropy[jx] - entropy[i] - last_entropy[jx]; + } + } + + if (split->num_types < self->max_block_types_ && + diff[0] > self->split_threshold_ && + diff[1] > self->split_threshold_) { + /* Create new block. */ + split->lengths[self->num_blocks_] = (uint32_t)self->block_size_; + split->types[self->num_blocks_] = (uint8_t)split->num_types; + self->last_histogram_ix_[1] = self->last_histogram_ix_[0]; + self->last_histogram_ix_[0] = split->num_types * num_contexts; + for (i = 0; i < num_contexts; ++i) { + last_entropy[num_contexts + i] = last_entropy[i]; + last_entropy[i] = entropy[i]; + } + ++self->num_blocks_; + ++split->num_types; + self->curr_histogram_ix_ += num_contexts; + if (self->curr_histogram_ix_ < *self->histograms_size_) { + ClearHistogramsLiteral( + &self->histograms_[self->curr_histogram_ix_], self->num_contexts_); + } + self->block_size_ = 0; + self->merge_last_count_ = 0; + self->target_block_size_ = self->min_block_size_; + } else if (diff[1] < diff[0] - 20.0) { + /* Combine this block with second last block. */ + split->lengths[self->num_blocks_] = (uint32_t)self->block_size_; + split->types[self->num_blocks_] = split->types[self->num_blocks_ - 2]; + BROTLI_SWAP(size_t, self->last_histogram_ix_, 0, 1); + for (i = 0; i < num_contexts; ++i) { + histograms[self->last_histogram_ix_[0] + i] = + combined_histo[num_contexts + i]; + last_entropy[num_contexts + i] = last_entropy[i]; + last_entropy[i] = combined_entropy[num_contexts + i]; + HistogramClearLiteral(&histograms[self->curr_histogram_ix_ + i]); + } + ++self->num_blocks_; + self->block_size_ = 0; + self->merge_last_count_ = 0; + self->target_block_size_ = self->min_block_size_; + } else { + /* Combine this block with last block. */ + split->lengths[self->num_blocks_ - 1] += (uint32_t)self->block_size_; + for (i = 0; i < num_contexts; ++i) { + histograms[self->last_histogram_ix_[0] + i] = combined_histo[i]; + last_entropy[i] = combined_entropy[i]; + if (split->num_types == 1) { + last_entropy[num_contexts + i] = last_entropy[i]; + } + HistogramClearLiteral(&histograms[self->curr_histogram_ix_ + i]); + } + self->block_size_ = 0; + if (++self->merge_last_count_ > 1) { + self->target_block_size_ += self->min_block_size_; + } + } + BROTLI_FREE(m, combined_histo); + } + if (is_final) { + *self->histograms_size_ = split->num_types * num_contexts; + split->num_blocks = self->num_blocks_; + } +} + +/* Adds the next symbol to the current block type and context. When the + current block reaches the target size, decides on merging the block. */ +static void ContextBlockSplitterAddSymbol( + ContextBlockSplitter* self, MemoryManager* m, + size_t symbol, size_t context) { + HistogramAddLiteral(&self->histograms_[self->curr_histogram_ix_ + context], + symbol); + ++self->block_size_; + if (self->block_size_ == self->target_block_size_) { + ContextBlockSplitterFinishBlock(self, m, /* is_final = */ BROTLI_FALSE); + if (BROTLI_IS_OOM(m)) return; + } +} + +static void MapStaticContexts(MemoryManager* m, + size_t num_contexts, + const uint32_t* static_context_map, + MetaBlockSplit* mb) { + size_t i; + BROTLI_DCHECK(mb->literal_context_map == 0); + mb->literal_context_map_size = + mb->literal_split.num_types << BROTLI_LITERAL_CONTEXT_BITS; + mb->literal_context_map = + BROTLI_ALLOC(m, uint32_t, mb->literal_context_map_size); + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(mb->literal_context_map)) return; + + for (i = 0; i < mb->literal_split.num_types; ++i) { + uint32_t offset = (uint32_t)(i * num_contexts); + size_t j; + for (j = 0; j < (1u << BROTLI_LITERAL_CONTEXT_BITS); ++j) { + mb->literal_context_map[(i << BROTLI_LITERAL_CONTEXT_BITS) + j] = + offset + static_context_map[j]; + } + } +} + +static BROTLI_INLINE void BrotliBuildMetaBlockGreedyInternal( + MemoryManager* m, const uint8_t* ringbuffer, size_t pos, size_t mask, + uint8_t prev_byte, uint8_t prev_byte2, ContextLut literal_context_lut, + const size_t num_contexts, const uint32_t* static_context_map, + const Command* commands, size_t n_commands, MetaBlockSplit* mb) { + union { + BlockSplitterLiteral plain; + ContextBlockSplitter ctx; + } lit_blocks; + BlockSplitterCommand cmd_blocks; + BlockSplitterDistance dist_blocks; + size_t num_literals = 0; + size_t i; + for (i = 0; i < n_commands; ++i) { + num_literals += commands[i].insert_len_; + } + + if (num_contexts == 1) { + InitBlockSplitterLiteral(m, &lit_blocks.plain, 256, 512, 400.0, + num_literals, &mb->literal_split, &mb->literal_histograms, + &mb->literal_histograms_size); + } else { + InitContextBlockSplitter(m, &lit_blocks.ctx, 256, num_contexts, 512, 400.0, + num_literals, &mb->literal_split, &mb->literal_histograms, + &mb->literal_histograms_size); + } + if (BROTLI_IS_OOM(m)) return; + InitBlockSplitterCommand(m, &cmd_blocks, BROTLI_NUM_COMMAND_SYMBOLS, 1024, + 500.0, n_commands, &mb->command_split, &mb->command_histograms, + &mb->command_histograms_size); + if (BROTLI_IS_OOM(m)) return; + InitBlockSplitterDistance(m, &dist_blocks, 64, 512, 100.0, n_commands, + &mb->distance_split, &mb->distance_histograms, + &mb->distance_histograms_size); + if (BROTLI_IS_OOM(m)) return; + + for (i = 0; i < n_commands; ++i) { + const Command cmd = commands[i]; + size_t j; + BlockSplitterAddSymbolCommand(&cmd_blocks, cmd.cmd_prefix_); + for (j = cmd.insert_len_; j != 0; --j) { + uint8_t literal = ringbuffer[pos & mask]; + if (num_contexts == 1) { + BlockSplitterAddSymbolLiteral(&lit_blocks.plain, literal); + } else { + size_t context = + BROTLI_CONTEXT(prev_byte, prev_byte2, literal_context_lut); + ContextBlockSplitterAddSymbol(&lit_blocks.ctx, m, literal, + static_context_map[context]); + if (BROTLI_IS_OOM(m)) return; + } + prev_byte2 = prev_byte; + prev_byte = literal; + ++pos; + } + pos += CommandCopyLen(&cmd); + if (CommandCopyLen(&cmd)) { + prev_byte2 = ringbuffer[(pos - 2) & mask]; + prev_byte = ringbuffer[(pos - 1) & mask]; + if (cmd.cmd_prefix_ >= 128) { + BlockSplitterAddSymbolDistance(&dist_blocks, cmd.dist_prefix_ & 0x3FF); + } + } + } + + if (num_contexts == 1) { + BlockSplitterFinishBlockLiteral( + &lit_blocks.plain, /* is_final = */ BROTLI_TRUE); + } else { + ContextBlockSplitterFinishBlock( + &lit_blocks.ctx, m, /* is_final = */ BROTLI_TRUE); + if (BROTLI_IS_OOM(m)) return; + } + BlockSplitterFinishBlockCommand(&cmd_blocks, /* is_final = */ BROTLI_TRUE); + BlockSplitterFinishBlockDistance(&dist_blocks, /* is_final = */ BROTLI_TRUE); + + if (num_contexts > 1) { + MapStaticContexts(m, num_contexts, static_context_map, mb); + } +} + +void BrotliBuildMetaBlockGreedy(MemoryManager* m, + const uint8_t* ringbuffer, + size_t pos, + size_t mask, + uint8_t prev_byte, + uint8_t prev_byte2, + ContextLut literal_context_lut, + size_t num_contexts, + const uint32_t* static_context_map, + const Command* commands, + size_t n_commands, + MetaBlockSplit* mb) { + if (num_contexts == 1) { + BrotliBuildMetaBlockGreedyInternal(m, ringbuffer, pos, mask, prev_byte, + prev_byte2, literal_context_lut, 1, NULL, commands, n_commands, mb); + } else { + BrotliBuildMetaBlockGreedyInternal(m, ringbuffer, pos, mask, prev_byte, + prev_byte2, literal_context_lut, num_contexts, static_context_map, + commands, n_commands, mb); + } +} + +void BrotliOptimizeHistograms(uint32_t num_distance_codes, + MetaBlockSplit* mb) { + uint8_t good_for_rle[BROTLI_NUM_COMMAND_SYMBOLS]; + size_t i; + for (i = 0; i < mb->literal_histograms_size; ++i) { + BrotliOptimizeHuffmanCountsForRle(256, mb->literal_histograms[i].data_, + good_for_rle); + } + for (i = 0; i < mb->command_histograms_size; ++i) { + BrotliOptimizeHuffmanCountsForRle(BROTLI_NUM_COMMAND_SYMBOLS, + mb->command_histograms[i].data_, + good_for_rle); + } + for (i = 0; i < mb->distance_histograms_size; ++i) { + BrotliOptimizeHuffmanCountsForRle(num_distance_codes, + mb->distance_histograms[i].data_, + good_for_rle); + } +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/metablock.h b/modules/brotli/enc/metablock.h new file mode 100644 index 0000000000..334a79a443 --- /dev/null +++ b/modules/brotli/enc/metablock.h @@ -0,0 +1,105 @@ +/* Copyright 2015 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Algorithms for distributing the literals and commands of a metablock between + block types and contexts. */ + +#ifndef BROTLI_ENC_METABLOCK_H_ +#define BROTLI_ENC_METABLOCK_H_ + +#include "../common/context.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./block_splitter.h" +#include "./command.h" +#include "./histogram.h" +#include "./memory.h" +#include "./quality.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +typedef struct MetaBlockSplit { + BlockSplit literal_split; + BlockSplit command_split; + BlockSplit distance_split; + uint32_t* literal_context_map; + size_t literal_context_map_size; + uint32_t* distance_context_map; + size_t distance_context_map_size; + HistogramLiteral* literal_histograms; + size_t literal_histograms_size; + HistogramCommand* command_histograms; + size_t command_histograms_size; + HistogramDistance* distance_histograms; + size_t distance_histograms_size; +} MetaBlockSplit; + +static BROTLI_INLINE void InitMetaBlockSplit(MetaBlockSplit* mb) { + BrotliInitBlockSplit(&mb->literal_split); + BrotliInitBlockSplit(&mb->command_split); + BrotliInitBlockSplit(&mb->distance_split); + mb->literal_context_map = 0; + mb->literal_context_map_size = 0; + mb->distance_context_map = 0; + mb->distance_context_map_size = 0; + mb->literal_histograms = 0; + mb->literal_histograms_size = 0; + mb->command_histograms = 0; + mb->command_histograms_size = 0; + mb->distance_histograms = 0; + mb->distance_histograms_size = 0; +} + +static BROTLI_INLINE void DestroyMetaBlockSplit( + MemoryManager* m, MetaBlockSplit* mb) { + BrotliDestroyBlockSplit(m, &mb->literal_split); + BrotliDestroyBlockSplit(m, &mb->command_split); + BrotliDestroyBlockSplit(m, &mb->distance_split); + BROTLI_FREE(m, mb->literal_context_map); + BROTLI_FREE(m, mb->distance_context_map); + BROTLI_FREE(m, mb->literal_histograms); + BROTLI_FREE(m, mb->command_histograms); + BROTLI_FREE(m, mb->distance_histograms); +} + +/* Uses the slow shortest-path block splitter and does context clustering. + The distance parameters are dynamically selected based on the commands + which get recomputed under the new distance parameters. The new distance + parameters are stored into *params. */ +BROTLI_INTERNAL void BrotliBuildMetaBlock(MemoryManager* m, + const uint8_t* ringbuffer, + const size_t pos, + const size_t mask, + BrotliEncoderParams* params, + uint8_t prev_byte, + uint8_t prev_byte2, + Command* cmds, + size_t num_commands, + ContextType literal_context_mode, + MetaBlockSplit* mb); + +/* Uses a fast greedy block splitter that tries to merge current block with the + last or the second last block and uses a static context clustering which + is the same for all block types. */ +BROTLI_INTERNAL void BrotliBuildMetaBlockGreedy( + MemoryManager* m, const uint8_t* ringbuffer, size_t pos, size_t mask, + uint8_t prev_byte, uint8_t prev_byte2, ContextLut literal_context_lut, + size_t num_contexts, const uint32_t* static_context_map, + const Command* commands, size_t n_commands, MetaBlockSplit* mb); + +BROTLI_INTERNAL void BrotliOptimizeHistograms(uint32_t num_distance_codes, + MetaBlockSplit* mb); + +BROTLI_INTERNAL void BrotliInitDistanceParams(BrotliEncoderParams* params, + uint32_t npostfix, uint32_t ndirect); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_METABLOCK_H_ */ diff --git a/modules/brotli/enc/metablock_inc.h b/modules/brotli/enc/metablock_inc.h new file mode 100644 index 0000000000..ed507ef5ef --- /dev/null +++ b/modules/brotli/enc/metablock_inc.h @@ -0,0 +1,183 @@ +/* NOLINT(build/header_guard) */ +/* Copyright 2015 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* template parameters: FN */ + +#define HistogramType FN(Histogram) + +/* Greedy block splitter for one block category (literal, command or distance). +*/ +typedef struct FN(BlockSplitter) { + /* Alphabet size of particular block category. */ + size_t alphabet_size_; + /* We collect at least this many symbols for each block. */ + size_t min_block_size_; + /* We merge histograms A and B if + entropy(A+B) < entropy(A) + entropy(B) + split_threshold_, + where A is the current histogram and B is the histogram of the last or the + second last block type. */ + double split_threshold_; + + size_t num_blocks_; + BlockSplit* split_; /* not owned */ + HistogramType* histograms_; /* not owned */ + size_t* histograms_size_; /* not owned */ + + /* The number of symbols that we want to collect before deciding on whether + or not to merge the block with a previous one or emit a new block. */ + size_t target_block_size_; + /* The number of symbols in the current histogram. */ + size_t block_size_; + /* Offset of the current histogram. */ + size_t curr_histogram_ix_; + /* Offset of the histograms of the previous two block types. */ + size_t last_histogram_ix_[2]; + /* Entropy of the previous two block types. */ + double last_entropy_[2]; + /* The number of times we merged the current block with the last one. */ + size_t merge_last_count_; +} FN(BlockSplitter); + +static void FN(InitBlockSplitter)( + MemoryManager* m, FN(BlockSplitter)* self, size_t alphabet_size, + size_t min_block_size, double split_threshold, size_t num_symbols, + BlockSplit* split, HistogramType** histograms, size_t* histograms_size) { + size_t max_num_blocks = num_symbols / min_block_size + 1; + /* We have to allocate one more histogram than the maximum number of block + types for the current histogram when the meta-block is too big. */ + size_t max_num_types = + BROTLI_MIN(size_t, max_num_blocks, BROTLI_MAX_NUMBER_OF_BLOCK_TYPES + 1); + self->alphabet_size_ = alphabet_size; + self->min_block_size_ = min_block_size; + self->split_threshold_ = split_threshold; + self->num_blocks_ = 0; + self->split_ = split; + self->histograms_size_ = histograms_size; + self->target_block_size_ = min_block_size; + self->block_size_ = 0; + self->curr_histogram_ix_ = 0; + self->merge_last_count_ = 0; + BROTLI_ENSURE_CAPACITY(m, uint8_t, + split->types, split->types_alloc_size, max_num_blocks); + BROTLI_ENSURE_CAPACITY(m, uint32_t, + split->lengths, split->lengths_alloc_size, max_num_blocks); + if (BROTLI_IS_OOM(m)) return; + self->split_->num_blocks = max_num_blocks; + BROTLI_DCHECK(*histograms == 0); + *histograms_size = max_num_types; + *histograms = BROTLI_ALLOC(m, HistogramType, *histograms_size); + self->histograms_ = *histograms; + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(*histograms)) return; + /* Clear only current histogram. */ + FN(HistogramClear)(&self->histograms_[0]); + self->last_histogram_ix_[0] = self->last_histogram_ix_[1] = 0; +} + +/* Does either of three things: + (1) emits the current block with a new block type; + (2) emits the current block with the type of the second last block; + (3) merges the current block with the last block. */ +static void FN(BlockSplitterFinishBlock)( + FN(BlockSplitter)* self, BROTLI_BOOL is_final) { + BlockSplit* split = self->split_; + double* last_entropy = self->last_entropy_; + HistogramType* histograms = self->histograms_; + self->block_size_ = + BROTLI_MAX(size_t, self->block_size_, self->min_block_size_); + if (self->num_blocks_ == 0) { + /* Create first block. */ + split->lengths[0] = (uint32_t)self->block_size_; + split->types[0] = 0; + last_entropy[0] = + BitsEntropy(histograms[0].data_, self->alphabet_size_); + last_entropy[1] = last_entropy[0]; + ++self->num_blocks_; + ++split->num_types; + ++self->curr_histogram_ix_; + if (self->curr_histogram_ix_ < *self->histograms_size_) + FN(HistogramClear)(&histograms[self->curr_histogram_ix_]); + self->block_size_ = 0; + } else if (self->block_size_ > 0) { + double entropy = BitsEntropy(histograms[self->curr_histogram_ix_].data_, + self->alphabet_size_); + HistogramType combined_histo[2]; + double combined_entropy[2]; + double diff[2]; + size_t j; + for (j = 0; j < 2; ++j) { + size_t last_histogram_ix = self->last_histogram_ix_[j]; + combined_histo[j] = histograms[self->curr_histogram_ix_]; + FN(HistogramAddHistogram)(&combined_histo[j], + &histograms[last_histogram_ix]); + combined_entropy[j] = BitsEntropy( + &combined_histo[j].data_[0], self->alphabet_size_); + diff[j] = combined_entropy[j] - entropy - last_entropy[j]; + } + + if (split->num_types < BROTLI_MAX_NUMBER_OF_BLOCK_TYPES && + diff[0] > self->split_threshold_ && + diff[1] > self->split_threshold_) { + /* Create new block. */ + split->lengths[self->num_blocks_] = (uint32_t)self->block_size_; + split->types[self->num_blocks_] = (uint8_t)split->num_types; + self->last_histogram_ix_[1] = self->last_histogram_ix_[0]; + self->last_histogram_ix_[0] = (uint8_t)split->num_types; + last_entropy[1] = last_entropy[0]; + last_entropy[0] = entropy; + ++self->num_blocks_; + ++split->num_types; + ++self->curr_histogram_ix_; + if (self->curr_histogram_ix_ < *self->histograms_size_) + FN(HistogramClear)(&histograms[self->curr_histogram_ix_]); + self->block_size_ = 0; + self->merge_last_count_ = 0; + self->target_block_size_ = self->min_block_size_; + } else if (diff[1] < diff[0] - 20.0) { + /* Combine this block with second last block. */ + split->lengths[self->num_blocks_] = (uint32_t)self->block_size_; + split->types[self->num_blocks_] = split->types[self->num_blocks_ - 2]; + BROTLI_SWAP(size_t, self->last_histogram_ix_, 0, 1); + histograms[self->last_histogram_ix_[0]] = combined_histo[1]; + last_entropy[1] = last_entropy[0]; + last_entropy[0] = combined_entropy[1]; + ++self->num_blocks_; + self->block_size_ = 0; + FN(HistogramClear)(&histograms[self->curr_histogram_ix_]); + self->merge_last_count_ = 0; + self->target_block_size_ = self->min_block_size_; + } else { + /* Combine this block with last block. */ + split->lengths[self->num_blocks_ - 1] += (uint32_t)self->block_size_; + histograms[self->last_histogram_ix_[0]] = combined_histo[0]; + last_entropy[0] = combined_entropy[0]; + if (split->num_types == 1) { + last_entropy[1] = last_entropy[0]; + } + self->block_size_ = 0; + FN(HistogramClear)(&histograms[self->curr_histogram_ix_]); + if (++self->merge_last_count_ > 1) { + self->target_block_size_ += self->min_block_size_; + } + } + } + if (is_final) { + *self->histograms_size_ = split->num_types; + split->num_blocks = self->num_blocks_; + } +} + +/* Adds the next symbol to the current histogram. When the current histogram + reaches the target size, decides on merging the block. */ +static void FN(BlockSplitterAddSymbol)(FN(BlockSplitter)* self, size_t symbol) { + FN(HistogramAdd)(&self->histograms_[self->curr_histogram_ix_], symbol); + ++self->block_size_; + if (self->block_size_ == self->target_block_size_) { + FN(BlockSplitterFinishBlock)(self, /* is_final = */ BROTLI_FALSE); + } +} + +#undef HistogramType diff --git a/modules/brotli/enc/params.h b/modules/brotli/enc/params.h new file mode 100644 index 0000000000..54a7f00736 --- /dev/null +++ b/modules/brotli/enc/params.h @@ -0,0 +1,46 @@ +/* Copyright 2017 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Parameters for the Brotli encoder with chosen quality levels. */ + +#ifndef BROTLI_ENC_PARAMS_H_ +#define BROTLI_ENC_PARAMS_H_ + +#include <brotli/encode.h> +#include "./encoder_dict.h" + +typedef struct BrotliHasherParams { + int type; + int bucket_bits; + int block_bits; + int hash_len; + int num_last_distances_to_check; +} BrotliHasherParams; + +typedef struct BrotliDistanceParams { + uint32_t distance_postfix_bits; + uint32_t num_direct_distance_codes; + uint32_t alphabet_size_max; + uint32_t alphabet_size_limit; + size_t max_distance; +} BrotliDistanceParams; + +/* Encoding parameters */ +typedef struct BrotliEncoderParams { + BrotliEncoderMode mode; + int quality; + int lgwin; + int lgblock; + size_t stream_offset; + size_t size_hint; + BROTLI_BOOL disable_literal_context_modeling; + BROTLI_BOOL large_window; + BrotliHasherParams hasher; + BrotliDistanceParams dist; + BrotliEncoderDictionary dictionary; +} BrotliEncoderParams; + +#endif /* BROTLI_ENC_PARAMS_H_ */ diff --git a/modules/brotli/enc/prefix.h b/modules/brotli/enc/prefix.h new file mode 100644 index 0000000000..fd359a478d --- /dev/null +++ b/modules/brotli/enc/prefix.h @@ -0,0 +1,53 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Functions for encoding of integers into prefix codes the amount of extra + bits, and the actual values of the extra bits. */ + +#ifndef BROTLI_ENC_PREFIX_H_ +#define BROTLI_ENC_PREFIX_H_ + +#include "../common/constants.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./fast_log.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* Here distance_code is an intermediate code, i.e. one of the special codes or + the actual distance increased by BROTLI_NUM_DISTANCE_SHORT_CODES - 1. */ +static BROTLI_INLINE void PrefixEncodeCopyDistance(size_t distance_code, + size_t num_direct_codes, + size_t postfix_bits, + uint16_t* code, + uint32_t* extra_bits) { + if (distance_code < BROTLI_NUM_DISTANCE_SHORT_CODES + num_direct_codes) { + *code = (uint16_t)distance_code; + *extra_bits = 0; + return; + } else { + size_t dist = ((size_t)1 << (postfix_bits + 2u)) + + (distance_code - BROTLI_NUM_DISTANCE_SHORT_CODES - num_direct_codes); + size_t bucket = Log2FloorNonZero(dist) - 1; + size_t postfix_mask = (1u << postfix_bits) - 1; + size_t postfix = dist & postfix_mask; + size_t prefix = (dist >> bucket) & 1; + size_t offset = (2 + prefix) << bucket; + size_t nbits = bucket - postfix_bits; + *code = (uint16_t)((nbits << 10) | + (BROTLI_NUM_DISTANCE_SHORT_CODES + num_direct_codes + + ((2 * (nbits - 1) + prefix) << postfix_bits) + postfix)); + *extra_bits = (uint32_t)((dist - offset) >> postfix_bits); + } +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_PREFIX_H_ */ diff --git a/modules/brotli/enc/quality.h b/modules/brotli/enc/quality.h new file mode 100644 index 0000000000..5f4d034503 --- /dev/null +++ b/modules/brotli/enc/quality.h @@ -0,0 +1,165 @@ +/* Copyright 2016 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Constants and formulas that affect speed-ratio trade-offs and thus define + quality levels. */ + +#ifndef BROTLI_ENC_QUALITY_H_ +#define BROTLI_ENC_QUALITY_H_ + +#include "../common/platform.h" +#include <brotli/encode.h> +#include "./params.h" + +#define FAST_ONE_PASS_COMPRESSION_QUALITY 0 +#define FAST_TWO_PASS_COMPRESSION_QUALITY 1 +#define ZOPFLIFICATION_QUALITY 10 +#define HQ_ZOPFLIFICATION_QUALITY 11 + +#define MAX_QUALITY_FOR_STATIC_ENTROPY_CODES 2 +#define MIN_QUALITY_FOR_BLOCK_SPLIT 4 +#define MIN_QUALITY_FOR_NONZERO_DISTANCE_PARAMS 4 +#define MIN_QUALITY_FOR_OPTIMIZE_HISTOGRAMS 4 +#define MIN_QUALITY_FOR_EXTENSIVE_REFERENCE_SEARCH 5 +#define MIN_QUALITY_FOR_CONTEXT_MODELING 5 +#define MIN_QUALITY_FOR_HQ_CONTEXT_MODELING 7 +#define MIN_QUALITY_FOR_HQ_BLOCK_SPLITTING 10 + +/* For quality below MIN_QUALITY_FOR_BLOCK_SPLIT there is no block splitting, + so we buffer at most this much literals and commands. */ +#define MAX_NUM_DELAYED_SYMBOLS 0x2FFF + +/* Returns hash-table size for quality levels 0 and 1. */ +static BROTLI_INLINE size_t MaxHashTableSize(int quality) { + return quality == FAST_ONE_PASS_COMPRESSION_QUALITY ? 1 << 15 : 1 << 17; +} + +/* The maximum length for which the zopflification uses distinct distances. */ +#define MAX_ZOPFLI_LEN_QUALITY_10 150 +#define MAX_ZOPFLI_LEN_QUALITY_11 325 + +/* Do not thoroughly search when a long copy is found. */ +#define BROTLI_LONG_COPY_QUICK_STEP 16384 + +static BROTLI_INLINE size_t MaxZopfliLen(const BrotliEncoderParams* params) { + return params->quality <= 10 ? + MAX_ZOPFLI_LEN_QUALITY_10 : + MAX_ZOPFLI_LEN_QUALITY_11; +} + +/* Number of best candidates to evaluate to expand Zopfli chain. */ +static BROTLI_INLINE size_t MaxZopfliCandidates( + const BrotliEncoderParams* params) { + return params->quality <= 10 ? 1 : 5; +} + +static BROTLI_INLINE void SanitizeParams(BrotliEncoderParams* params) { + params->quality = BROTLI_MIN(int, BROTLI_MAX_QUALITY, + BROTLI_MAX(int, BROTLI_MIN_QUALITY, params->quality)); + if (params->quality <= MAX_QUALITY_FOR_STATIC_ENTROPY_CODES) { + params->large_window = BROTLI_FALSE; + } + if (params->lgwin < BROTLI_MIN_WINDOW_BITS) { + params->lgwin = BROTLI_MIN_WINDOW_BITS; + } else { + int max_lgwin = params->large_window ? BROTLI_LARGE_MAX_WINDOW_BITS : + BROTLI_MAX_WINDOW_BITS; + if (params->lgwin > max_lgwin) params->lgwin = max_lgwin; + } +} + +/* Returns optimized lg_block value. */ +static BROTLI_INLINE int ComputeLgBlock(const BrotliEncoderParams* params) { + int lgblock = params->lgblock; + if (params->quality == FAST_ONE_PASS_COMPRESSION_QUALITY || + params->quality == FAST_TWO_PASS_COMPRESSION_QUALITY) { + lgblock = params->lgwin; + } else if (params->quality < MIN_QUALITY_FOR_BLOCK_SPLIT) { + lgblock = 14; + } else if (lgblock == 0) { + lgblock = 16; + if (params->quality >= 9 && params->lgwin > lgblock) { + lgblock = BROTLI_MIN(int, 18, params->lgwin); + } + } else { + lgblock = BROTLI_MIN(int, BROTLI_MAX_INPUT_BLOCK_BITS, + BROTLI_MAX(int, BROTLI_MIN_INPUT_BLOCK_BITS, lgblock)); + } + return lgblock; +} + +/* Returns log2 of the size of main ring buffer area. + Allocate at least lgwin + 1 bits for the ring buffer so that the newly + added block fits there completely and we still get lgwin bits and at least + read_block_size_bits + 1 bits because the copy tail length needs to be + smaller than ring-buffer size. */ +static BROTLI_INLINE int ComputeRbBits(const BrotliEncoderParams* params) { + return 1 + BROTLI_MAX(int, params->lgwin, params->lgblock); +} + +static BROTLI_INLINE size_t MaxMetablockSize( + const BrotliEncoderParams* params) { + int bits = + BROTLI_MIN(int, ComputeRbBits(params), BROTLI_MAX_INPUT_BLOCK_BITS); + return (size_t)1 << bits; +} + +/* When searching for backward references and have not seen matches for a long + time, we can skip some match lookups. Unsuccessful match lookups are very + expensive and this kind of a heuristic speeds up compression quite a lot. + At first 8 byte strides are taken and every second byte is put to hasher. + After 4x more literals stride by 16 bytes, every put 4-th byte to hasher. + Applied only to qualities 2 to 9. */ +static BROTLI_INLINE size_t LiteralSpreeLengthForSparseSearch( + const BrotliEncoderParams* params) { + return params->quality < 9 ? 64 : 512; +} + +static BROTLI_INLINE void ChooseHasher(const BrotliEncoderParams* params, + BrotliHasherParams* hparams) { + if (params->quality > 9) { + hparams->type = 10; + } else if (params->quality == 4 && params->size_hint >= (1 << 20)) { + hparams->type = 54; + } else if (params->quality < 5) { + hparams->type = params->quality; + } else if (params->lgwin <= 16) { + hparams->type = params->quality < 7 ? 40 : params->quality < 9 ? 41 : 42; + } else if (params->size_hint >= (1 << 20) && params->lgwin >= 19) { + hparams->type = 6; + hparams->block_bits = params->quality - 1; + hparams->bucket_bits = 15; + hparams->hash_len = 5; + hparams->num_last_distances_to_check = + params->quality < 7 ? 4 : params->quality < 9 ? 10 : 16; + } else { + hparams->type = 5; + hparams->block_bits = params->quality - 1; + hparams->bucket_bits = params->quality < 7 ? 14 : 15; + hparams->num_last_distances_to_check = + params->quality < 7 ? 4 : params->quality < 9 ? 10 : 16; + } + + if (params->lgwin > 24) { + /* Different hashers for large window brotli: not for qualities <= 2, + these are too fast for large window. Not for qualities >= 10: their + hasher already works well with large window. So the changes are: + H3 --> H35: for quality 3. + H54 --> H55: for quality 4 with size hint > 1MB + H6 --> H65: for qualities 5, 6, 7, 8, 9. */ + if (hparams->type == 3) { + hparams->type = 35; + } + if (hparams->type == 54) { + hparams->type = 55; + } + if (hparams->type == 6) { + hparams->type = 65; + } + } +} + +#endif /* BROTLI_ENC_QUALITY_H_ */ diff --git a/modules/brotli/enc/ringbuffer.h b/modules/brotli/enc/ringbuffer.h new file mode 100644 index 0000000000..8dce148039 --- /dev/null +++ b/modules/brotli/enc/ringbuffer.h @@ -0,0 +1,167 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Sliding window over the input data. */ + +#ifndef BROTLI_ENC_RINGBUFFER_H_ +#define BROTLI_ENC_RINGBUFFER_H_ + +#include <string.h> /* memcpy */ + +#include "../common/platform.h" +#include <brotli/types.h> +#include "./memory.h" +#include "./quality.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* A RingBuffer(window_bits, tail_bits) contains `1 << window_bits' bytes of + data in a circular manner: writing a byte writes it to: + `position() % (1 << window_bits)'. + For convenience, the RingBuffer array contains another copy of the + first `1 << tail_bits' bytes: + buffer_[i] == buffer_[i + (1 << window_bits)], if i < (1 << tail_bits), + and another copy of the last two bytes: + buffer_[-1] == buffer_[(1 << window_bits) - 1] and + buffer_[-2] == buffer_[(1 << window_bits) - 2]. */ +typedef struct RingBuffer { + /* Size of the ring-buffer is (1 << window_bits) + tail_size_. */ + const uint32_t size_; + const uint32_t mask_; + const uint32_t tail_size_; + const uint32_t total_size_; + + uint32_t cur_size_; + /* Position to write in the ring buffer. */ + uint32_t pos_; + /* The actual ring buffer containing the copy of the last two bytes, the data, + and the copy of the beginning as a tail. */ + uint8_t* data_; + /* The start of the ring-buffer. */ + uint8_t* buffer_; +} RingBuffer; + +static BROTLI_INLINE void RingBufferInit(RingBuffer* rb) { + rb->cur_size_ = 0; + rb->pos_ = 0; + rb->data_ = 0; + rb->buffer_ = 0; +} + +static BROTLI_INLINE void RingBufferSetup( + const BrotliEncoderParams* params, RingBuffer* rb) { + int window_bits = ComputeRbBits(params); + int tail_bits = params->lgblock; + *(uint32_t*)&rb->size_ = 1u << window_bits; + *(uint32_t*)&rb->mask_ = (1u << window_bits) - 1; + *(uint32_t*)&rb->tail_size_ = 1u << tail_bits; + *(uint32_t*)&rb->total_size_ = rb->size_ + rb->tail_size_; +} + +static BROTLI_INLINE void RingBufferFree(MemoryManager* m, RingBuffer* rb) { + BROTLI_FREE(m, rb->data_); +} + +/* Allocates or re-allocates data_ to the given length + plus some slack + region before and after. Fills the slack regions with zeros. */ +static BROTLI_INLINE void RingBufferInitBuffer( + MemoryManager* m, const uint32_t buflen, RingBuffer* rb) { + static const size_t kSlackForEightByteHashingEverywhere = 7; + uint8_t* new_data = BROTLI_ALLOC( + m, uint8_t, 2 + buflen + kSlackForEightByteHashingEverywhere); + size_t i; + if (BROTLI_IS_OOM(m) || BROTLI_IS_NULL(new_data)) return; + if (rb->data_) { + memcpy(new_data, rb->data_, + 2 + rb->cur_size_ + kSlackForEightByteHashingEverywhere); + BROTLI_FREE(m, rb->data_); + } + rb->data_ = new_data; + rb->cur_size_ = buflen; + rb->buffer_ = rb->data_ + 2; + rb->buffer_[-2] = rb->buffer_[-1] = 0; + for (i = 0; i < kSlackForEightByteHashingEverywhere; ++i) { + rb->buffer_[rb->cur_size_ + i] = 0; + } +} + +static BROTLI_INLINE void RingBufferWriteTail( + const uint8_t* bytes, size_t n, RingBuffer* rb) { + const size_t masked_pos = rb->pos_ & rb->mask_; + if (BROTLI_PREDICT_FALSE(masked_pos < rb->tail_size_)) { + /* Just fill the tail buffer with the beginning data. */ + const size_t p = rb->size_ + masked_pos; + memcpy(&rb->buffer_[p], bytes, + BROTLI_MIN(size_t, n, rb->tail_size_ - masked_pos)); + } +} + +/* Push bytes into the ring buffer. */ +static BROTLI_INLINE void RingBufferWrite( + MemoryManager* m, const uint8_t* bytes, size_t n, RingBuffer* rb) { + if (rb->pos_ == 0 && n < rb->tail_size_) { + /* Special case for the first write: to process the first block, we don't + need to allocate the whole ring-buffer and we don't need the tail + either. However, we do this memory usage optimization only if the + first write is less than the tail size, which is also the input block + size, otherwise it is likely that other blocks will follow and we + will need to reallocate to the full size anyway. */ + rb->pos_ = (uint32_t)n; + RingBufferInitBuffer(m, rb->pos_, rb); + if (BROTLI_IS_OOM(m)) return; + memcpy(rb->buffer_, bytes, n); + return; + } + if (rb->cur_size_ < rb->total_size_) { + /* Lazily allocate the full buffer. */ + RingBufferInitBuffer(m, rb->total_size_, rb); + if (BROTLI_IS_OOM(m)) return; + /* Initialize the last two bytes to zero, so that we don't have to worry + later when we copy the last two bytes to the first two positions. */ + rb->buffer_[rb->size_ - 2] = 0; + rb->buffer_[rb->size_ - 1] = 0; + /* Initialize tail; might be touched by "best_len++" optimization when + ring buffer is "full". */ + rb->buffer_[rb->size_] = 241; + } + { + const size_t masked_pos = rb->pos_ & rb->mask_; + /* The length of the writes is limited so that we do not need to worry + about a write */ + RingBufferWriteTail(bytes, n, rb); + if (BROTLI_PREDICT_TRUE(masked_pos + n <= rb->size_)) { + /* A single write fits. */ + memcpy(&rb->buffer_[masked_pos], bytes, n); + } else { + /* Split into two writes. + Copy into the end of the buffer, including the tail buffer. */ + memcpy(&rb->buffer_[masked_pos], bytes, + BROTLI_MIN(size_t, n, rb->total_size_ - masked_pos)); + /* Copy into the beginning of the buffer */ + memcpy(&rb->buffer_[0], bytes + (rb->size_ - masked_pos), + n - (rb->size_ - masked_pos)); + } + } + { + BROTLI_BOOL not_first_lap = (rb->pos_ & (1u << 31)) != 0; + uint32_t rb_pos_mask = (1u << 31) - 1; + rb->buffer_[-2] = rb->buffer_[rb->size_ - 2]; + rb->buffer_[-1] = rb->buffer_[rb->size_ - 1]; + rb->pos_ = (rb->pos_ & rb_pos_mask) + (uint32_t)(n & rb_pos_mask); + if (not_first_lap) { + /* Wrap, but preserve not-a-first-lap feature. */ + rb->pos_ |= 1u << 31; + } + } +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_RINGBUFFER_H_ */ diff --git a/modules/brotli/enc/static_dict.c b/modules/brotli/enc/static_dict.c new file mode 100644 index 0000000000..7299ab7203 --- /dev/null +++ b/modules/brotli/enc/static_dict.c @@ -0,0 +1,486 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +#include "./static_dict.h" + +#include "../common/dictionary.h" +#include "../common/platform.h" +#include "../common/transform.h" +#include "./encoder_dict.h" +#include "./find_match_length.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +static BROTLI_INLINE uint32_t Hash(const uint8_t* data) { + uint32_t h = BROTLI_UNALIGNED_LOAD32LE(data) * kDictHashMul32; + /* The higher bits contain more mixture from the multiplication, + so we take our results from there. */ + return h >> (32 - kDictNumBits); +} + +static BROTLI_INLINE void AddMatch(size_t distance, size_t len, size_t len_code, + uint32_t* matches) { + uint32_t match = (uint32_t)((distance << 5) + len_code); + matches[len] = BROTLI_MIN(uint32_t, matches[len], match); +} + +static BROTLI_INLINE size_t DictMatchLength(const BrotliDictionary* dictionary, + const uint8_t* data, + size_t id, + size_t len, + size_t maxlen) { + const size_t offset = dictionary->offsets_by_length[len] + len * id; + return FindMatchLengthWithLimit(&dictionary->data[offset], data, + BROTLI_MIN(size_t, len, maxlen)); +} + +static BROTLI_INLINE BROTLI_BOOL IsMatch(const BrotliDictionary* dictionary, + DictWord w, const uint8_t* data, size_t max_length) { + if (w.len > max_length) { + return BROTLI_FALSE; + } else { + const size_t offset = dictionary->offsets_by_length[w.len] + + (size_t)w.len * (size_t)w.idx; + const uint8_t* dict = &dictionary->data[offset]; + if (w.transform == 0) { + /* Match against base dictionary word. */ + return + TO_BROTLI_BOOL(FindMatchLengthWithLimit(dict, data, w.len) == w.len); + } else if (w.transform == 10) { + /* Match against uppercase first transform. + Note that there are only ASCII uppercase words in the lookup table. */ + return TO_BROTLI_BOOL(dict[0] >= 'a' && dict[0] <= 'z' && + (dict[0] ^ 32) == data[0] && + FindMatchLengthWithLimit(&dict[1], &data[1], w.len - 1u) == + w.len - 1u); + } else { + /* Match against uppercase all transform. + Note that there are only ASCII uppercase words in the lookup table. */ + size_t i; + for (i = 0; i < w.len; ++i) { + if (dict[i] >= 'a' && dict[i] <= 'z') { + if ((dict[i] ^ 32) != data[i]) return BROTLI_FALSE; + } else { + if (dict[i] != data[i]) return BROTLI_FALSE; + } + } + return BROTLI_TRUE; + } + } +} + +BROTLI_BOOL BrotliFindAllStaticDictionaryMatches( + const BrotliEncoderDictionary* dictionary, const uint8_t* data, + size_t min_length, size_t max_length, uint32_t* matches) { + BROTLI_BOOL has_found_match = BROTLI_FALSE; + { + size_t offset = dictionary->buckets[Hash(data)]; + BROTLI_BOOL end = !offset; + while (!end) { + DictWord w = dictionary->dict_words[offset++]; + const size_t l = w.len & 0x1F; + const size_t n = (size_t)1 << dictionary->words->size_bits_by_length[l]; + const size_t id = w.idx; + end = !!(w.len & 0x80); + w.len = (uint8_t)l; + if (w.transform == 0) { + const size_t matchlen = + DictMatchLength(dictionary->words, data, id, l, max_length); + const uint8_t* s; + size_t minlen; + size_t maxlen; + size_t len; + /* Transform "" + BROTLI_TRANSFORM_IDENTITY + "" */ + if (matchlen == l) { + AddMatch(id, l, l, matches); + has_found_match = BROTLI_TRUE; + } + /* Transforms "" + BROTLI_TRANSFORM_OMIT_LAST_1 + "" and + "" + BROTLI_TRANSFORM_OMIT_LAST_1 + "ing " */ + if (matchlen >= l - 1) { + AddMatch(id + 12 * n, l - 1, l, matches); + if (l + 2 < max_length && + data[l - 1] == 'i' && data[l] == 'n' && data[l + 1] == 'g' && + data[l + 2] == ' ') { + AddMatch(id + 49 * n, l + 3, l, matches); + } + has_found_match = BROTLI_TRUE; + } + /* Transform "" + BROTLI_TRANSFORM_OMIT_LAST_# + "" (# = 2 .. 9) */ + minlen = min_length; + if (l > 9) minlen = BROTLI_MAX(size_t, minlen, l - 9); + maxlen = BROTLI_MIN(size_t, matchlen, l - 2); + for (len = minlen; len <= maxlen; ++len) { + size_t cut = l - len; + size_t transform_id = (cut << 2) + + (size_t)((dictionary->cutoffTransforms >> (cut * 6)) & 0x3F); + AddMatch(id + transform_id * n, len, l, matches); + has_found_match = BROTLI_TRUE; + } + if (matchlen < l || l + 6 >= max_length) { + continue; + } + s = &data[l]; + /* Transforms "" + BROTLI_TRANSFORM_IDENTITY + <suffix> */ + if (s[0] == ' ') { + AddMatch(id + n, l + 1, l, matches); + if (s[1] == 'a') { + if (s[2] == ' ') { + AddMatch(id + 28 * n, l + 3, l, matches); + } else if (s[2] == 's') { + if (s[3] == ' ') AddMatch(id + 46 * n, l + 4, l, matches); + } else if (s[2] == 't') { + if (s[3] == ' ') AddMatch(id + 60 * n, l + 4, l, matches); + } else if (s[2] == 'n') { + if (s[3] == 'd' && s[4] == ' ') { + AddMatch(id + 10 * n, l + 5, l, matches); + } + } + } else if (s[1] == 'b') { + if (s[2] == 'y' && s[3] == ' ') { + AddMatch(id + 38 * n, l + 4, l, matches); + } + } else if (s[1] == 'i') { + if (s[2] == 'n') { + if (s[3] == ' ') AddMatch(id + 16 * n, l + 4, l, matches); + } else if (s[2] == 's') { + if (s[3] == ' ') AddMatch(id + 47 * n, l + 4, l, matches); + } + } else if (s[1] == 'f') { + if (s[2] == 'o') { + if (s[3] == 'r' && s[4] == ' ') { + AddMatch(id + 25 * n, l + 5, l, matches); + } + } else if (s[2] == 'r') { + if (s[3] == 'o' && s[4] == 'm' && s[5] == ' ') { + AddMatch(id + 37 * n, l + 6, l, matches); + } + } + } else if (s[1] == 'o') { + if (s[2] == 'f') { + if (s[3] == ' ') AddMatch(id + 8 * n, l + 4, l, matches); + } else if (s[2] == 'n') { + if (s[3] == ' ') AddMatch(id + 45 * n, l + 4, l, matches); + } + } else if (s[1] == 'n') { + if (s[2] == 'o' && s[3] == 't' && s[4] == ' ') { + AddMatch(id + 80 * n, l + 5, l, matches); + } + } else if (s[1] == 't') { + if (s[2] == 'h') { + if (s[3] == 'e') { + if (s[4] == ' ') AddMatch(id + 5 * n, l + 5, l, matches); + } else if (s[3] == 'a') { + if (s[4] == 't' && s[5] == ' ') { + AddMatch(id + 29 * n, l + 6, l, matches); + } + } + } else if (s[2] == 'o') { + if (s[3] == ' ') AddMatch(id + 17 * n, l + 4, l, matches); + } + } else if (s[1] == 'w') { + if (s[2] == 'i' && s[3] == 't' && s[4] == 'h' && s[5] == ' ') { + AddMatch(id + 35 * n, l + 6, l, matches); + } + } + } else if (s[0] == '"') { + AddMatch(id + 19 * n, l + 1, l, matches); + if (s[1] == '>') { + AddMatch(id + 21 * n, l + 2, l, matches); + } + } else if (s[0] == '.') { + AddMatch(id + 20 * n, l + 1, l, matches); + if (s[1] == ' ') { + AddMatch(id + 31 * n, l + 2, l, matches); + if (s[2] == 'T' && s[3] == 'h') { + if (s[4] == 'e') { + if (s[5] == ' ') AddMatch(id + 43 * n, l + 6, l, matches); + } else if (s[4] == 'i') { + if (s[5] == 's' && s[6] == ' ') { + AddMatch(id + 75 * n, l + 7, l, matches); + } + } + } + } + } else if (s[0] == ',') { + AddMatch(id + 76 * n, l + 1, l, matches); + if (s[1] == ' ') { + AddMatch(id + 14 * n, l + 2, l, matches); + } + } else if (s[0] == '\n') { + AddMatch(id + 22 * n, l + 1, l, matches); + if (s[1] == '\t') { + AddMatch(id + 50 * n, l + 2, l, matches); + } + } else if (s[0] == ']') { + AddMatch(id + 24 * n, l + 1, l, matches); + } else if (s[0] == '\'') { + AddMatch(id + 36 * n, l + 1, l, matches); + } else if (s[0] == ':') { + AddMatch(id + 51 * n, l + 1, l, matches); + } else if (s[0] == '(') { + AddMatch(id + 57 * n, l + 1, l, matches); + } else if (s[0] == '=') { + if (s[1] == '"') { + AddMatch(id + 70 * n, l + 2, l, matches); + } else if (s[1] == '\'') { + AddMatch(id + 86 * n, l + 2, l, matches); + } + } else if (s[0] == 'a') { + if (s[1] == 'l' && s[2] == ' ') { + AddMatch(id + 84 * n, l + 3, l, matches); + } + } else if (s[0] == 'e') { + if (s[1] == 'd') { + if (s[2] == ' ') AddMatch(id + 53 * n, l + 3, l, matches); + } else if (s[1] == 'r') { + if (s[2] == ' ') AddMatch(id + 82 * n, l + 3, l, matches); + } else if (s[1] == 's') { + if (s[2] == 't' && s[3] == ' ') { + AddMatch(id + 95 * n, l + 4, l, matches); + } + } + } else if (s[0] == 'f') { + if (s[1] == 'u' && s[2] == 'l' && s[3] == ' ') { + AddMatch(id + 90 * n, l + 4, l, matches); + } + } else if (s[0] == 'i') { + if (s[1] == 'v') { + if (s[2] == 'e' && s[3] == ' ') { + AddMatch(id + 92 * n, l + 4, l, matches); + } + } else if (s[1] == 'z') { + if (s[2] == 'e' && s[3] == ' ') { + AddMatch(id + 100 * n, l + 4, l, matches); + } + } + } else if (s[0] == 'l') { + if (s[1] == 'e') { + if (s[2] == 's' && s[3] == 's' && s[4] == ' ') { + AddMatch(id + 93 * n, l + 5, l, matches); + } + } else if (s[1] == 'y') { + if (s[2] == ' ') AddMatch(id + 61 * n, l + 3, l, matches); + } + } else if (s[0] == 'o') { + if (s[1] == 'u' && s[2] == 's' && s[3] == ' ') { + AddMatch(id + 106 * n, l + 4, l, matches); + } + } + } else { + /* Set is_all_caps=0 for BROTLI_TRANSFORM_UPPERCASE_FIRST and + is_all_caps=1 otherwise (BROTLI_TRANSFORM_UPPERCASE_ALL) + transform. */ + const BROTLI_BOOL is_all_caps = + TO_BROTLI_BOOL(w.transform != BROTLI_TRANSFORM_UPPERCASE_FIRST); + const uint8_t* s; + if (!IsMatch(dictionary->words, w, data, max_length)) { + continue; + } + /* Transform "" + kUppercase{First,All} + "" */ + AddMatch(id + (is_all_caps ? 44 : 9) * n, l, l, matches); + has_found_match = BROTLI_TRUE; + if (l + 1 >= max_length) { + continue; + } + /* Transforms "" + kUppercase{First,All} + <suffix> */ + s = &data[l]; + if (s[0] == ' ') { + AddMatch(id + (is_all_caps ? 68 : 4) * n, l + 1, l, matches); + } else if (s[0] == '"') { + AddMatch(id + (is_all_caps ? 87 : 66) * n, l + 1, l, matches); + if (s[1] == '>') { + AddMatch(id + (is_all_caps ? 97 : 69) * n, l + 2, l, matches); + } + } else if (s[0] == '.') { + AddMatch(id + (is_all_caps ? 101 : 79) * n, l + 1, l, matches); + if (s[1] == ' ') { + AddMatch(id + (is_all_caps ? 114 : 88) * n, l + 2, l, matches); + } + } else if (s[0] == ',') { + AddMatch(id + (is_all_caps ? 112 : 99) * n, l + 1, l, matches); + if (s[1] == ' ') { + AddMatch(id + (is_all_caps ? 107 : 58) * n, l + 2, l, matches); + } + } else if (s[0] == '\'') { + AddMatch(id + (is_all_caps ? 94 : 74) * n, l + 1, l, matches); + } else if (s[0] == '(') { + AddMatch(id + (is_all_caps ? 113 : 78) * n, l + 1, l, matches); + } else if (s[0] == '=') { + if (s[1] == '"') { + AddMatch(id + (is_all_caps ? 105 : 104) * n, l + 2, l, matches); + } else if (s[1] == '\'') { + AddMatch(id + (is_all_caps ? 116 : 108) * n, l + 2, l, matches); + } + } + } + } + } + /* Transforms with prefixes " " and "." */ + if (max_length >= 5 && (data[0] == ' ' || data[0] == '.')) { + BROTLI_BOOL is_space = TO_BROTLI_BOOL(data[0] == ' '); + size_t offset = dictionary->buckets[Hash(&data[1])]; + BROTLI_BOOL end = !offset; + while (!end) { + DictWord w = dictionary->dict_words[offset++]; + const size_t l = w.len & 0x1F; + const size_t n = (size_t)1 << dictionary->words->size_bits_by_length[l]; + const size_t id = w.idx; + end = !!(w.len & 0x80); + w.len = (uint8_t)l; + if (w.transform == 0) { + const uint8_t* s; + if (!IsMatch(dictionary->words, w, &data[1], max_length - 1)) { + continue; + } + /* Transforms " " + BROTLI_TRANSFORM_IDENTITY + "" and + "." + BROTLI_TRANSFORM_IDENTITY + "" */ + AddMatch(id + (is_space ? 6 : 32) * n, l + 1, l, matches); + has_found_match = BROTLI_TRUE; + if (l + 2 >= max_length) { + continue; + } + /* Transforms " " + BROTLI_TRANSFORM_IDENTITY + <suffix> and + "." + BROTLI_TRANSFORM_IDENTITY + <suffix> + */ + s = &data[l + 1]; + if (s[0] == ' ') { + AddMatch(id + (is_space ? 2 : 77) * n, l + 2, l, matches); + } else if (s[0] == '(') { + AddMatch(id + (is_space ? 89 : 67) * n, l + 2, l, matches); + } else if (is_space) { + if (s[0] == ',') { + AddMatch(id + 103 * n, l + 2, l, matches); + if (s[1] == ' ') { + AddMatch(id + 33 * n, l + 3, l, matches); + } + } else if (s[0] == '.') { + AddMatch(id + 71 * n, l + 2, l, matches); + if (s[1] == ' ') { + AddMatch(id + 52 * n, l + 3, l, matches); + } + } else if (s[0] == '=') { + if (s[1] == '"') { + AddMatch(id + 81 * n, l + 3, l, matches); + } else if (s[1] == '\'') { + AddMatch(id + 98 * n, l + 3, l, matches); + } + } + } + } else if (is_space) { + /* Set is_all_caps=0 for BROTLI_TRANSFORM_UPPERCASE_FIRST and + is_all_caps=1 otherwise (BROTLI_TRANSFORM_UPPERCASE_ALL) + transform. */ + const BROTLI_BOOL is_all_caps = + TO_BROTLI_BOOL(w.transform != BROTLI_TRANSFORM_UPPERCASE_FIRST); + const uint8_t* s; + if (!IsMatch(dictionary->words, w, &data[1], max_length - 1)) { + continue; + } + /* Transforms " " + kUppercase{First,All} + "" */ + AddMatch(id + (is_all_caps ? 85 : 30) * n, l + 1, l, matches); + has_found_match = BROTLI_TRUE; + if (l + 2 >= max_length) { + continue; + } + /* Transforms " " + kUppercase{First,All} + <suffix> */ + s = &data[l + 1]; + if (s[0] == ' ') { + AddMatch(id + (is_all_caps ? 83 : 15) * n, l + 2, l, matches); + } else if (s[0] == ',') { + if (!is_all_caps) { + AddMatch(id + 109 * n, l + 2, l, matches); + } + if (s[1] == ' ') { + AddMatch(id + (is_all_caps ? 111 : 65) * n, l + 3, l, matches); + } + } else if (s[0] == '.') { + AddMatch(id + (is_all_caps ? 115 : 96) * n, l + 2, l, matches); + if (s[1] == ' ') { + AddMatch(id + (is_all_caps ? 117 : 91) * n, l + 3, l, matches); + } + } else if (s[0] == '=') { + if (s[1] == '"') { + AddMatch(id + (is_all_caps ? 110 : 118) * n, l + 3, l, matches); + } else if (s[1] == '\'') { + AddMatch(id + (is_all_caps ? 119 : 120) * n, l + 3, l, matches); + } + } + } + } + } + if (max_length >= 6) { + /* Transforms with prefixes "e ", "s ", ", " and "\xC2\xA0" */ + if ((data[1] == ' ' && + (data[0] == 'e' || data[0] == 's' || data[0] == ',')) || + (data[0] == 0xC2 && data[1] == 0xA0)) { + size_t offset = dictionary->buckets[Hash(&data[2])]; + BROTLI_BOOL end = !offset; + while (!end) { + DictWord w = dictionary->dict_words[offset++]; + const size_t l = w.len & 0x1F; + const size_t n = (size_t)1 << dictionary->words->size_bits_by_length[l]; + const size_t id = w.idx; + end = !!(w.len & 0x80); + w.len = (uint8_t)l; + if (w.transform == 0 && + IsMatch(dictionary->words, w, &data[2], max_length - 2)) { + if (data[0] == 0xC2) { + AddMatch(id + 102 * n, l + 2, l, matches); + has_found_match = BROTLI_TRUE; + } else if (l + 2 < max_length && data[l + 2] == ' ') { + size_t t = data[0] == 'e' ? 18 : (data[0] == 's' ? 7 : 13); + AddMatch(id + t * n, l + 3, l, matches); + has_found_match = BROTLI_TRUE; + } + } + } + } + } + if (max_length >= 9) { + /* Transforms with prefixes " the " and ".com/" */ + if ((data[0] == ' ' && data[1] == 't' && data[2] == 'h' && + data[3] == 'e' && data[4] == ' ') || + (data[0] == '.' && data[1] == 'c' && data[2] == 'o' && + data[3] == 'm' && data[4] == '/')) { + size_t offset = dictionary->buckets[Hash(&data[5])]; + BROTLI_BOOL end = !offset; + while (!end) { + DictWord w = dictionary->dict_words[offset++]; + const size_t l = w.len & 0x1F; + const size_t n = (size_t)1 << dictionary->words->size_bits_by_length[l]; + const size_t id = w.idx; + end = !!(w.len & 0x80); + w.len = (uint8_t)l; + if (w.transform == 0 && + IsMatch(dictionary->words, w, &data[5], max_length - 5)) { + AddMatch(id + (data[0] == ' ' ? 41 : 72) * n, l + 5, l, matches); + has_found_match = BROTLI_TRUE; + if (l + 5 < max_length) { + const uint8_t* s = &data[l + 5]; + if (data[0] == ' ') { + if (l + 8 < max_length && + s[0] == ' ' && s[1] == 'o' && s[2] == 'f' && s[3] == ' ') { + AddMatch(id + 62 * n, l + 9, l, matches); + if (l + 12 < max_length && + s[4] == 't' && s[5] == 'h' && s[6] == 'e' && s[7] == ' ') { + AddMatch(id + 73 * n, l + 13, l, matches); + } + } + } + } + } + } + } + } + return has_found_match; +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/static_dict.h b/modules/brotli/enc/static_dict.h new file mode 100644 index 0000000000..6b5d4eb0c9 --- /dev/null +++ b/modules/brotli/enc/static_dict.h @@ -0,0 +1,40 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Class to model the static dictionary. */ + +#ifndef BROTLI_ENC_STATIC_DICT_H_ +#define BROTLI_ENC_STATIC_DICT_H_ + +#include "../common/dictionary.h" +#include "../common/platform.h" +#include <brotli/types.h> +#include "./encoder_dict.h" + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +#define BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN 37 +static const uint32_t kInvalidMatch = 0xFFFFFFF; + +/* Matches data against static dictionary words, and for each length l, + for which a match is found, updates matches[l] to be the minimum possible + (distance << 5) + len_code. + Returns 1 if matches have been found, otherwise 0. + Prerequisites: + matches array is at least BROTLI_MAX_STATIC_DICTIONARY_MATCH_LEN + 1 long + all elements are initialized to kInvalidMatch */ +BROTLI_INTERNAL BROTLI_BOOL BrotliFindAllStaticDictionaryMatches( + const BrotliEncoderDictionary* dictionary, + const uint8_t* data, size_t min_length, size_t max_length, + uint32_t* matches); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_STATIC_DICT_H_ */ diff --git a/modules/brotli/enc/static_dict_lut.h b/modules/brotli/enc/static_dict_lut.h new file mode 100644 index 0000000000..e299cda6d8 --- /dev/null +++ b/modules/brotli/enc/static_dict_lut.h @@ -0,0 +1,5864 @@ +/* Copyright 2015 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Lookup table for static dictionary and transforms. */ + +#ifndef BROTLI_ENC_STATIC_DICT_LUT_H_ +#define BROTLI_ENC_STATIC_DICT_LUT_H_ + +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +typedef struct DictWord { + /* Highest bit is used to indicate end of bucket. */ + uint8_t len; + uint8_t transform; + uint16_t idx; +} DictWord; + +static const int kDictNumBits = 15; +static const uint32_t kDictHashMul32 = 0x1E35A7BD; + +static const uint16_t kStaticDictionaryBuckets[32768] = { +1,0,0,0,0,0,0,0,0,3,6,0,0,0,0,0,20,0,0,0,21,0,22,0,0,0,0,0,0,0,0,23,0,0,25,0,29, +0,53,0,0,0,0,0,0,55,0,0,0,0,0,0,61,76,0,0,0,94,0,0,0,0,0,0,96,0,97,0,98,0,0,0,0, +0,0,0,99,101,106,108,0,0,0,0,0,110,0,111,112,0,113,118,124,0,0,0,0,0,125,128,0,0 +,0,0,129,0,0,131,0,0,0,0,0,0,132,0,0,135,0,0,0,137,0,0,0,0,0,138,139,0,0,0,0,0,0 +,0,142,143,144,0,0,0,0,0,145,0,0,0,146,149,151,152,0,0,153,0,0,0,0,0,0,0,0,0,0,0 +,0,0,0,0,154,0,0,0,0,0,0,155,0,0,0,0,160,182,0,0,0,0,0,0,183,0,0,0,188,189,0,0, +192,0,0,0,0,0,0,194,0,0,0,0,0,0,0,0,197,202,209,0,0,210,0,224,0,0,0,225,0,0,0,0, +0,0,0,0,0,0,231,0,0,0,232,0,240,0,0,242,0,0,0,0,0,0,0,0,0,0,0,244,0,0,0,246,0,0, +249,251,253,0,0,0,0,0,258,0,0,261,263,0,0,0,267,0,0,268,0,269,0,0,0,0,0,0,0,0,0, +271,0,0,0,0,0,0,272,0,273,0,277,0,278,286,0,0,0,0,287,0,289,290,291,0,0,0,295,0, +0,296,297,0,0,0,0,0,0,0,0,0,0,298,0,0,0,299,0,0,305,0,324,0,0,0,0,0,327,0,328, +329,0,0,0,0,336,0,0,340,0,341,342,343,0,0,346,0,348,0,0,0,0,0,0,349,351,0,0,355, +0,363,0,364,0,368,369,0,370,0,0,0,0,0,0,0,372,0,0,0,0,0,0,0,0,0,0,0,373,0,375,0, +0,0,0,376,377,0,0,394,395,396,0,0,398,0,0,0,0,400,0,0,408,0,0,0,0,420,0,0,0,0,0, +0,421,0,0,422,423,0,0,429,435,436,442,0,0,443,0,444,445,453,456,0,457,0,0,0,0,0, +458,0,0,0,459,0,0,0,460,0,462,463,465,0,0,0,0,0,0,466,469,0,0,0,0,0,0,470,0,0,0, +474,0,476,0,0,0,0,483,0,485,0,0,0,486,0,0,488,491,492,0,0,497,499,500,0,501,0,0, +0,505,0,0,506,0,0,0,507,0,0,0,509,0,0,0,0,511,512,519,0,0,0,0,0,0,529,530,0,0,0, +534,0,0,0,0,543,0,0,0,0,0,0,0,0,0,553,0,0,0,0,557,560,0,0,0,0,0,0,561,0,564,0,0, +0,0,0,0,565,566,0,575,0,619,0,620,0,0,623,624,0,0,0,625,0,0,626,627,0,0,628,0,0, +0,0,630,0,631,0,0,0,0,0,0,0,0,0,641,0,0,0,0,643,656,668,0,0,0,673,0,0,0,674,0,0, +0,0,0,0,0,0,682,0,687,0,690,0,693,699,700,0,0,0,0,0,0,704,705,0,0,0,0,707,710,0, +711,0,0,0,0,726,0,0,729,0,0,0,730,731,0,0,0,0,0,752,0,0,0,762,0,763,0,0,767,0,0, +0,770,774,0,0,775,0,0,0,0,0,0,0,0,0,0,776,0,0,0,777,783,0,0,0,785,788,0,0,0,0, +790,0,0,0,793,0,0,0,0,794,0,0,804,819,821,0,827,0,0,0,834,0,0,835,0,0,0,841,0, +844,0,850,851,859,0,860,0,0,0,0,0,0,0,874,0,876,0,877,890,0,0,0,0,0,0,0,0,893, +894,898,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,899,0,0,0,900,904,906,0,0,0,907,0,908,909, +0,910,0,0,0,0,911,0,0,0,0,0,916,0,0,0,922,925,0,930,0,934,0,0,0,0,0,943,0,0,944, +0,953,954,0,0,0,0,0,0,955,0,962,963,0,0,976,0,0,977,978,979,980,0,981,0,0,0,0, +984,0,0,985,0,0,987,989,991,0,0,0,0,0,0,0,0,0,992,0,0,0,993,0,0,0,0,0,0,996,0,0, +0,1000,0,0,0,0,0,1002,0,0,0,0,1005,1007,0,0,0,1009,0,0,0,1010,0,0,0,0,0,0,1011,0 +,1012,0,0,0,0,1014,1016,0,0,0,1020,0,1021,0,0,0,0,1022,0,0,0,1024,0,0,0,0,0,0, +1025,0,0,1026,1027,0,0,0,0,0,1031,0,1033,0,0,0,0,1034,0,0,0,1037,1040,0,0,0,1042 +,1043,0,0,1053,0,1054,0,0,1057,0,0,0,1058,0,0,1060,0,0,0,0,0,0,0,1061,0,0,1062,0 +,0,0,0,1063,0,0,0,0,1064,0,0,0,0,0,1065,0,0,0,0,1066,1067,0,0,0,1069,1070,1072,0 +,0,0,0,0,0,1073,0,1075,0,0,0,0,0,0,1080,1084,0,0,0,0,1088,0,0,0,0,0,0,1094,0, +1095,0,1107,0,0,0,1112,1114,0,1119,0,1122,0,0,1126,0,1129,0,1130,0,0,0,0,0,1132, +0,0,0,0,0,0,1144,0,0,1145,1146,0,1148,1149,0,0,1150,1151,0,0,0,0,1152,0,1153,0,0 +,0,0,0,1154,0,1163,0,0,0,1164,0,0,0,0,0,1165,0,1167,0,1170,0,0,0,0,0,1171,1172,0 +,0,0,0,0,0,0,0,1173,1175,1177,0,1186,0,0,0,0,0,0,0,0,0,0,1195,0,0,1221,0,0,1224, +0,0,1227,0,0,0,0,0,1228,1229,0,0,1230,0,0,0,0,0,0,0,0,0,1231,0,0,0,1233,0,0,1243 +,1244,1246,1248,0,0,0,0,1254,1255,1258,1259,0,0,0,1260,0,0,1261,0,0,0,1262,1264, +0,0,1265,0,0,0,0,0,0,0,0,0,0,0,0,1266,0,1267,0,0,0,0,1273,1274,1276,1289,0,0, +1291,1292,1293,0,0,1294,1295,1296,0,0,0,0,1302,0,1304,0,0,0,0,0,0,0,0,0,1311, +1312,0,1314,0,1316,1320,1321,0,0,0,0,0,0,0,1322,1323,1324,0,1335,0,1336,0,0,0,0, +1341,1342,0,1346,0,1357,0,0,0,1358,1360,0,0,0,0,0,0,1361,0,0,0,1362,1365,0,1366, +0,0,0,0,0,0,0,1379,0,0,0,0,0,0,0,0,0,0,0,0,1386,0,1388,0,0,0,0,0,0,0,0,0,0,0,0,0 +,0,1395,0,0,0,0,1403,0,1405,0,0,1407,0,0,0,0,0,1408,1409,0,1410,0,0,0,1412,1413, +1416,0,0,1429,1451,0,0,1454,0,0,0,0,0,0,0,1455,0,0,0,0,0,0,0,1456,0,0,0,0,1459, +1460,1461,1475,0,0,0,0,0,0,1477,0,1480,0,1481,0,0,1486,0,0,1495,0,0,0,1496,0,0, +1498,1499,1501,1520,1521,0,0,0,1526,0,0,0,0,1528,1529,0,1533,1536,0,0,0,1537, +1538,1549,0,1550,1558,1559,1572,0,1573,0,0,0,0,0,0,0,0,0,1575,0,0,0,0,0,1579,0, +1599,0,1603,0,1604,0,1605,0,0,0,0,0,1608,1610,0,0,0,0,1611,0,1615,0,1616,1618,0, +1619,0,0,1622,0,0,0,0,1634,0,0,0,1635,0,0,0,1641,0,0,0,0,0,0,0,0,0,1643,0,0,0, +1650,0,0,1652,0,0,0,0,0,1653,0,0,0,1654,0,0,0,0,1655,0,1662,0,0,1663,1664,0,0, +1668,0,0,1669,1670,0,1672,1673,0,0,0,0,0,1674,0,0,0,1675,1676,1680,0,1682,0,0, +1687,0,0,0,0,0,1704,0,0,1705,0,0,1721,0,0,0,0,1734,1735,0,0,0,0,1737,0,0,0,0, +1739,0,0,1740,0,0,0,0,0,0,0,0,0,0,1741,1743,0,0,0,0,1745,0,0,0,1749,0,0,0,1751,0 +,0,0,0,0,0,1760,0,0,0,0,1765,0,0,0,0,0,1784,0,1785,1787,0,0,0,0,1788,1789,0,0,0, +0,1790,1791,1793,0,1798,1799,0,0,0,0,1801,0,1803,1805,0,0,0,1806,1811,0,1812, +1814,0,1821,0,0,0,0,0,1822,1833,0,0,0,0,0,0,1848,0,0,0,0,0,0,1857,0,0,0,1859,0,0 +,0,0,1861,0,0,0,0,0,0,0,1866,0,1921,1925,0,0,0,1929,1930,0,0,0,0,0,0,0,0,0,1931, +0,0,0,0,1932,0,0,0,1934,0,0,0,0,0,0,0,0,1946,0,0,1948,0,0,0,0,1950,0,1957,0,1958 +,0,0,0,0,0,1965,1967,0,0,0,0,1968,0,1969,0,1971,1972,0,0,0,0,0,0,0,0,0,0,0,0,0,0 +,0,1973,0,0,0,0,1975,0,0,0,0,1976,1979,0,1982,0,0,0,0,1984,1988,0,0,0,0,1990, +2004,2008,0,0,0,2012,2013,0,0,0,0,0,0,0,0,0,0,2015,0,2016,2017,0,0,0,0,2021,0,0, +2025,0,0,0,0,0,2029,2036,2040,0,2042,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2043,0,0,0,0,0, +2045,0,0,0,0,0,0,0,2046,2047,0,2048,2049,0,2059,0,0,2063,0,2064,2065,0,0,2066,0, +0,0,0,0,0,2069,0,0,0,0,2070,0,2071,0,2072,0,0,0,0,2080,2082,2083,0,0,0,0,0,2085, +0,2086,2088,2089,2105,0,0,0,0,2107,0,0,2116,2117,0,2120,0,0,2122,0,0,0,0,0,2123, +0,0,2125,2127,2128,0,0,0,2130,0,0,0,2137,2139,2140,2141,0,0,0,0,0,0,0,0,0,2144, +2145,0,0,2146,2149,0,0,0,0,2150,0,0,2151,2158,0,2159,0,2160,0,0,0,0,0,0,2161, +2162,0,0,2194,2202,0,0,0,0,0,0,2205,2217,0,2220,0,2221,0,2222,2224,0,0,0,0,2237, +0,0,0,0,0,2238,0,2239,2241,0,0,2242,0,0,0,0,0,2243,0,0,0,0,0,0,2252,0,0,2253,0,0 +,0,2257,2258,0,0,0,2260,0,0,0,0,0,0,0,2262,0,2264,0,0,0,0,0,2269,2270,0,0,0,0,0, +0,0,0,0,2271,0,2273,0,0,0,0,2277,0,0,0,0,2278,0,0,0,0,2279,0,2280,0,2283,0,0,0,0 +,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2287,0,0,0,0,0,0,0,2289,2290,0,0,0,0,2291,0,2292,0, +0,0,2293,2295,2296,0,0,0,0,0,0,0,2298,0,0,0,0,0,2303,0,2305,0,0,2306,0,2307,0,0, +0,0,0,0,0,0,0,0,0,0,2313,2314,2315,2316,0,0,2318,0,2319,0,2322,0,0,2323,0,2324,0 +,2326,0,0,0,0,0,0,0,2335,0,2336,2338,2339,0,2340,0,0,0,2355,0,2375,0,2382,2386,0 +,2387,0,0,2394,0,0,0,0,2395,0,2397,0,0,0,0,0,2398,0,0,0,0,0,0,0,2399,2402,2404, +2408,2411,0,0,0,2413,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2415,0,0,2416,2417,2419,0,2420, +0,0,0,0,0,2425,0,0,0,2426,0,0,0,0,0,0,0,0,0,0,0,0,2427,2428,0,2429,0,0,2430,2434 +,0,2436,0,0,0,0,0,0,2441,2442,0,2445,0,0,2446,2457,0,2459,0,0,2462,0,2464,0,2477 +,0,2478,2486,0,0,0,2491,0,0,2493,0,0,2494,0,2495,0,2513,2523,0,0,0,0,2524,0,0,0, +0,0,0,2528,2529,2530,0,0,2531,0,2533,0,0,2534,2535,0,2536,2537,0,2538,0,2539, +2540,0,0,0,2545,2546,0,0,0,0,0,0,0,2548,0,0,2549,0,2550,2555,0,0,0,0,0,2557,0, +2560,0,0,0,0,0,0,0,0,0,0,0,2561,0,2576,0,0,0,0,0,0,0,0,0,2577,2578,0,0,0,2579,0, +0,0,0,0,0,0,2580,0,0,0,0,2581,0,0,0,0,2583,0,2584,0,2588,2590,0,0,0,2591,0,0,0,0 +,2593,2594,0,2595,0,2601,2602,0,0,2603,0,2605,0,0,0,2606,2607,2611,0,2615,0,0,0, +2617,0,0,0,0,0,0,0,0,0,0,0,0,0,2619,0,0,2620,0,0,0,2621,0,2623,0,2625,0,0,2628, +2629,0,0,2635,2636,2637,0,0,2639,0,0,0,2642,0,0,0,0,2643,0,2644,0,2649,0,0,0,0,0 +,0,2655,2656,0,0,2657,0,0,0,0,0,2658,0,0,0,0,0,2659,0,0,0,0,2664,2685,0,2687,0, +2688,0,0,2689,0,0,2694,0,2695,0,0,2698,0,2701,2706,0,0,0,2707,0,2709,2710,2711,0 +,0,0,2720,2730,2735,0,0,0,0,2738,2740,0,0,0,0,2747,0,0,0,0,0,0,2748,0,0,2749,0,0 +,0,0,0,2750,0,0,2752,2754,0,0,0,0,0,2758,0,0,0,0,2762,0,0,0,0,2763,0,0,0,0,0,0,0 +,2764,2767,0,0,0,0,2768,0,0,2770,0,0,0,0,0,0,0,2771,0,0,0,0,0,0,0,0,0,2772,0,0,0 +,0,0,2773,2776,0,0,2783,0,0,2784,0,2789,0,2790,0,0,0,2792,0,0,0,0,0,0,0,0,0,0, +2793,2795,0,0,0,0,0,0,2796,0,0,0,0,0,0,2797,2799,0,0,0,0,2803,0,0,0,0,2806,0, +2807,2808,2817,2819,0,0,0,0,0,2821,0,0,0,0,2822,2823,0,0,0,0,0,0,0,2824,0,0,2828 +,0,2834,0,0,0,0,0,0,2836,0,2838,0,0,2839,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2841, +0,0,0,2842,0,0,0,0,0,2843,2844,0,0,0,0,2846,0,0,2847,0,2849,0,2853,0,0,0,0,0, +2857,0,0,0,0,2858,0,2859,0,0,2860,0,2862,2868,0,0,0,0,2875,0,2876,0,0,2877,2878, +2884,2889,2890,0,0,2891,0,0,2892,0,0,0,2906,2912,0,2913,0,0,0,0,0,0,0,0,2916,0, +2934,0,0,0,0,0,2935,0,0,0,0,2939,0,2940,0,0,0,0,0,0,0,2941,0,0,0,2946,0,2949,0,0 +,2950,2954,2955,0,0,0,2959,2961,0,0,2962,0,2963,0,0,0,0,0,0,2964,2965,2966,2967, +0,0,0,0,0,0,0,2969,0,0,0,0,0,2970,2975,0,2982,2983,2984,0,0,0,0,0,2989,0,0,2990, +0,0,0,0,0,0,0,2991,0,0,0,0,0,0,0,0,2998,0,3000,3001,0,0,3002,0,0,0,3003,0,0,3012 +,0,0,3022,0,0,3024,0,0,3025,3027,0,0,0,3030,0,0,0,0,3034,3035,0,0,3036,0,3039,0, +3049,0,0,3050,0,0,0,0,0,0,3051,0,3053,0,0,0,0,3057,0,3058,0,0,0,0,0,0,0,0,3063,0 +,0,3073,3074,3078,3079,0,3080,3086,0,0,0,0,0,0,0,0,3087,0,3092,0,3095,0,3099,0,0 +,0,3100,0,3101,3102,0,3122,0,0,0,3124,0,3125,0,0,0,0,0,0,3132,3134,0,0,3136,0,0, +0,0,0,0,0,3147,0,0,3149,0,0,0,0,0,3150,3151,3152,0,0,0,0,3158,0,0,3160,0,0,3161, +0,0,3162,0,3163,3166,3168,0,0,3169,3170,0,0,3171,0,0,0,0,0,0,0,3182,0,3184,0,0, +3188,0,0,3194,0,0,0,0,0,0,3204,0,0,0,0,3209,0,0,0,0,0,0,0,0,0,0,0,3216,3217,0,0, +0,0,0,0,0,3219,0,0,3220,3222,0,3223,0,0,0,0,3224,0,3225,3226,0,3228,3233,0,3239, +3241,3242,0,0,3251,3252,3253,3255,0,0,0,0,0,0,0,0,3260,0,0,3261,0,0,0,3267,0,0,0 +,0,0,0,0,0,3271,0,0,0,3278,0,3282,0,0,0,3284,0,0,0,3285,3286,0,0,0,0,0,0,0,3287, +3292,0,0,0,0,3294,3296,0,0,3299,3300,3301,0,3302,0,0,0,0,0,3304,3306,0,0,0,0,0,0 +,3308,0,0,0,0,0,0,0,0,0,3311,0,0,0,0,0,0,0,0,3312,3314,3315,0,3318,0,0,0,0,0,0,0 +,0,3319,0,0,0,0,0,3321,0,0,0,0,0,0,0,0,0,3322,0,0,3324,3325,0,0,3326,0,0,3328, +3329,3331,0,0,3335,0,0,3337,0,3338,0,0,0,0,3343,3347,0,0,0,3348,0,0,3351,0,0,0,0 +,0,0,3354,0,0,0,0,0,0,0,0,0,0,3355,0,0,3365,3366,3367,0,0,0,0,0,0,3368,3369,0, +3370,0,0,3373,0,0,3376,0,0,3377,0,3379,3387,0,0,0,0,0,3390,0,0,0,0,0,0,0,3402,0, +3403,3436,3437,3439,0,0,3441,0,0,0,3442,0,0,3449,0,0,0,3450,0,0,0,0,0,0,0,3451,0 +,0,3452,0,3453,3456,0,3457,0,0,3458,0,3459,0,0,0,0,0,0,0,0,0,3460,0,0,3469,3470, +0,0,3475,0,0,0,3480,3487,3489,0,3490,0,0,3491,3499,0,3500,0,0,3501,0,0,0,3502,0, +3514,0,0,0,3516,3517,0,0,0,3518,0,0,0,0,3520,3521,3522,0,0,3526,3530,0,0,0,0, +3531,0,0,0,0,3536,0,0,0,0,0,0,0,3539,3541,0,0,3542,3544,0,3547,3548,0,0,3550,0, +3553,0,0,0,0,0,0,0,3554,0,3555,0,3558,0,3559,0,0,0,0,0,0,0,0,3563,0,3581,0,0,0, +3599,0,0,0,3600,0,3601,0,3602,3603,0,0,3606,3608,0,3610,3611,0,0,0,0,0,0,0,0,0, +3612,3616,3619,0,0,0,0,0,0,0,0,0,0,0,0,0,3624,3628,0,3629,3634,3635,0,0,0,0,0,0, +3636,0,3637,0,0,3638,3651,0,0,0,0,0,0,3652,3653,0,0,0,0,3656,3657,0,0,0,0,0,3658 +,0,0,0,0,3659,0,3661,3663,3664,0,3665,0,3692,0,0,0,3694,3696,0,0,0,0,0,0,0,0,0,0 +,0,0,3698,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3700,0,0,3701,0,0,0,3708,3709,0,0,0,3711 +,3712,0,0,0,0,0,3723,0,3724,3725,0,0,3726,0,0,0,0,0,0,3728,3729,0,3734,3735,3737 +,0,0,0,3743,0,3745,0,0,3746,0,0,3747,3748,0,3757,0,3759,3766,3767,0,3768,0,0,0,0 +,3769,0,0,3771,0,3774,0,0,0,0,0,0,3775,0,0,0,0,0,0,3776,0,3777,3786,0,3788,3789, +0,0,0,0,0,0,0,0,0,3791,0,3811,0,0,0,0,0,3814,3815,3816,3820,0,0,0,0,0,0,0,3821,0 +,0,3825,0,0,0,0,3835,0,0,3848,3849,0,0,0,0,3850,3851,3853,0,0,0,0,3859,0,3860, +3862,0,0,0,0,0,3863,0,0,0,0,0,0,0,0,3873,0,3874,0,3875,3886,0,3887,0,0,0,0,3892, +3913,0,3914,0,0,0,3925,3931,0,0,0,0,3934,3941,3942,0,0,0,0,3943,0,0,0,3944,0,0,0 +,0,0,3945,0,3947,0,0,0,3956,3957,0,0,0,0,0,0,0,0,0,3958,0,3959,3965,0,0,0,0,3966 +,0,0,0,3967,0,0,0,3968,3974,0,0,0,0,0,3975,3977,3978,0,0,0,0,3980,0,3985,0,0,0,0 +,0,0,0,0,3986,4011,0,0,4017,0,0,0,0,0,0,0,0,0,0,0,4018,0,0,0,0,4019,0,4023,0,0,0 +,4027,4028,0,0,0,0,0,0,0,0,4031,4034,0,0,4035,4037,4039,4040,0,0,0,0,0,4059,0, +4060,4061,0,4062,4063,4066,0,0,4072,0,0,0,0,0,0,0,0,0,0,0,0,0,4088,0,0,0,0,0, +4091,0,0,0,0,4094,4095,0,0,4096,0,0,0,0,0,4098,4099,0,0,0,4101,0,4104,0,0,0,4105 +,4108,0,4113,0,0,4115,4116,0,4126,0,0,4127,0,0,0,0,0,0,0,4128,4132,4133,0,4134,0 +,0,0,4137,0,0,4141,0,0,0,0,4144,4146,4147,0,0,0,0,4148,0,0,4311,0,0,0,4314,4329, +0,4331,4332,0,4333,0,4334,0,0,0,4335,0,4336,0,0,0,4337,0,0,0,4342,4345,4346,4350 +,0,4351,4352,0,4354,4355,0,0,4364,0,0,0,0,4369,0,0,0,4373,0,4374,0,0,0,0,4377,0, +0,0,0,4378,0,0,0,4380,0,0,0,4381,4382,0,0,0,0,0,0,0,4384,0,0,0,0,4385,0,0,0,4386 +,0,0,0,4391,4398,0,0,0,0,4407,4409,0,0,0,0,4410,0,0,4411,0,4414,4415,4418,0,4427 +,4428,4430,0,4431,0,4448,0,0,0,0,0,4449,0,0,0,4451,4452,0,4453,4454,0,4456,0,0,0 +,0,0,0,0,4459,0,4463,0,0,0,0,0,4466,0,4467,0,4469,0,0,0,0,0,0,0,0,0,0,0,0,0,4470 +,4471,0,4473,0,0,4475,0,0,0,0,4477,4478,0,0,0,4479,4481,0,4482,0,4484,0,0,0,0,0, +0,0,4486,0,0,4488,0,0,4497,0,4508,0,0,4510,4511,0,4520,4523,0,4524,0,4525,0,4527 +,0,0,4528,0,0,0,0,4530,0,4531,0,0,4532,0,0,0,4533,0,0,0,0,0,4535,0,0,0,4536,0,0, +0,0,0,4541,4543,4544,4545,4547,0,4548,0,0,0,0,4550,4551,0,4553,0,0,0,0,4562,0,0, +4571,0,0,0,4574,0,0,0,4575,0,4576,0,4577,0,0,0,4581,0,0,0,0,0,4582,0,0,4586,0,0, +0,4588,0,0,4597,0,4598,0,0,0,0,4616,4617,0,4618,0,0,0,0,4619,0,4620,0,0,4621,0, +4624,0,0,0,0,0,4625,0,0,0,0,4657,0,4659,0,4667,0,0,0,4668,4670,0,4672,0,0,0,0,0, +4673,4676,0,0,0,0,4687,0,0,0,0,4697,0,0,0,0,4699,0,4701,0,0,0,0,4702,0,0,4706,0, +0,4713,0,0,0,4714,4715,4716,0,0,0,0,0,0,0,0,0,0,0,0,4717,0,0,4720,0,4721,4729, +4735,0,0,0,4737,0,0,0,4739,0,0,0,4740,0,0,0,4741,0,0,0,0,0,4742,0,4745,4746,4747 +,0,0,0,0,0,0,0,0,4748,0,0,0,4749,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4751, +4786,0,4787,0,4788,4796,0,0,4797,4798,0,4799,4806,4807,0,0,0,0,4809,4810,0,0,0,0 +,0,0,4811,0,0,0,0,0,4812,0,4813,0,0,4815,0,4821,4822,0,0,0,0,4823,0,0,0,0,0,0,0, +0,0,0,4824,0,0,0,0,4826,0,0,0,4828,0,4829,0,0,0,4843,0,0,4847,0,4853,4855,4858,0 +,0,0,0,0,4859,0,4864,0,0,4879,0,0,0,0,4880,0,0,0,0,4881,0,4882,0,0,0,0,0,0,0,0,0 +,4883,0,0,0,0,4884,0,0,0,0,0,4886,4887,4888,4894,4896,0,4902,0,0,4905,0,0,4915,0 +,0,0,0,0,0,0,4916,4917,4919,4921,0,0,0,0,0,4926,0,0,0,0,4927,0,0,0,0,0,0,0,0, +4929,0,4930,4931,0,4938,0,4952,0,4953,4957,4960,4964,0,0,0,0,0,0,0,5019,5020, +5022,0,0,0,0,0,5023,0,0,0,5024,0,0,0,5025,0,0,0,0,5028,0,0,0,0,5029,5030,5031,0, +5033,0,0,0,0,0,0,0,0,0,5034,5035,0,5036,0,0,5037,0,0,0,0,5038,0,0,5039,0,0,0, +5041,5042,0,0,0,0,5044,5049,5054,0,5055,0,5057,0,0,0,5060,0,0,0,0,0,5063,0,5064, +5065,0,5067,0,0,0,5068,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5076,0,0,0,0,0,0, +0,5077,0,0,5078,5080,0,0,5083,0,0,0,0,0,0,0,0,5085,0,0,0,0,0,0,5098,5099,5101, +5105,5107,0,5108,0,5109,0,0,0,0,0,0,0,5110,0,0,0,0,0,5117,5118,0,5121,0,5122,0,0 +,5130,0,0,0,5137,0,0,0,5148,0,0,0,0,0,0,0,5151,5154,0,0,0,5155,0,0,5156,5159, +5161,0,0,0,0,5162,0,0,0,0,5163,5164,0,5166,0,0,0,0,0,0,0,0,0,0,5167,0,0,0,5172,0 +,0,0,0,0,0,5178,5179,0,0,5190,0,0,5191,5192,5194,0,0,5198,5201,0,0,0,0,0,5203,0, +5206,5209,0,0,0,0,0,0,5213,0,5214,5216,0,0,0,0,0,5217,0,0,0,0,0,0,0,0,5218,5219, +0,5231,0,0,5244,5249,0,5254,0,5255,0,0,5257,0,0,0,0,0,5258,0,5260,5270,0,5277,0, +0,0,0,0,0,5280,5281,5282,5283,0,0,0,0,0,5284,0,5285,0,0,0,0,0,5287,5288,0,0,0,0, +0,0,0,0,0,0,5289,5291,0,0,5294,0,0,5295,0,0,0,0,0,0,0,5304,0,0,5306,5307,5308,0, +5309,0,0,5310,0,0,0,0,5311,5312,0,5313,0,0,0,0,0,5316,0,0,0,5317,0,0,0,0,0,0,0,0 +,0,5325,0,0,0,0,0,0,5326,0,5327,5329,0,5332,0,0,0,0,5338,0,0,0,0,0,0,0,0,5340,0, +0,5341,0,0,0,5342,0,5343,5344,0,0,5345,0,0,0,0,0,0,5347,5348,0,0,0,0,0,0,0,0,0, +5349,0,5350,0,5354,0,0,0,0,5358,0,0,5359,0,0,5361,0,0,5365,0,5367,0,5373,0,0,0, +5379,0,0,0,5380,0,0,0,5382,0,5384,0,0,0,0,0,0,5385,0,0,0,0,5387,0,0,0,0,0,0,5388 +,5390,5393,0,0,0,0,0,0,0,0,0,0,0,5396,0,0,0,0,5397,5402,0,0,0,0,0,5403,0,0,0, +5404,5405,0,0,0,0,0,0,0,0,0,0,0,0,5406,0,0,0,0,5410,0,0,5411,0,5415,0,0,0,0,5416 +,5434,0,0,0,0,0,0,0,0,0,0,0,5438,0,5440,0,0,0,0,0,0,5441,5442,0,0,0,5443,5444, +5447,0,0,5448,5449,5451,0,0,0,5456,5457,0,0,0,5459,0,0,0,5461,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,5464,0,5466,0,0,5467,0,5470,0,0,5473,0,0,5474,0,0,5476,0,0,0,0,0,0,0,0 +,0,0,0,5477,0,0,0,0,0,0,0,5484,0,0,5485,5486,0,0,0,0,0,5488,0,0,0,0,0,0,0,5489,0 +,0,0,0,0,5507,0,0,0,5510,0,5511,0,0,5512,0,0,0,5513,0,5515,0,0,5516,5517,0,5518, +0,0,5522,0,0,0,0,0,5534,5535,0,0,5536,0,5538,0,0,5543,0,5544,0,0,5545,0,5547,0, +5557,0,0,5558,0,5560,5567,0,0,0,0,5568,0,0,0,5571,5573,0,5574,0,5575,0,0,0,0, +5577,0,0,5598,0,0,0,0,0,0,0,0,0,5600,5609,0,0,0,0,5610,0,0,5612,0,5624,0,5625,0, +0,0,5629,0,5641,0,5642,5643,0,0,0,0,0,0,5651,0,0,0,5652,5653,0,5661,5662,5678,0, +5679,0,0,0,0,5685,5686,0,0,0,0,0,5690,5692,0,5703,0,0,0,0,0,5706,0,0,0,0,5707,0, +0,0,0,0,0,5708,0,0,5709,0,5710,0,0,0,5712,0,5733,0,5734,5735,0,0,5744,5751,0,0,0 +,0,0,0,0,0,0,0,0,0,5752,0,5754,0,0,0,0,0,0,5757,5758,0,5760,5761,0,0,0,0,5763, +5764,5765,0,5766,0,5767,5768,0,5770,0,0,0,0,5776,5780,0,0,0,0,5782,0,0,0,0,5784, +0,0,5788,0,0,0,0,0,0,0,0,0,0,0,5797,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5799,0,0,5801, +0,0,0,5811,0,0,0,0,0,0,5816,0,0,5827,0,0,0,0,0,0,0,0,5830,5831,0,0,5832,0,0,5833 +,0,5835,5844,5845,0,5846,0,0,0,0,0,5850,0,0,0,0,0,5852,0,5855,5857,0,0,5859,0, +5861,0,0,5863,0,5865,0,0,0,5873,5875,0,0,0,5877,0,5879,0,0,0,5888,0,0,5889,5891, +0,5894,0,0,0,0,0,0,5895,0,5897,0,0,0,0,0,0,5907,0,5911,0,0,5912,0,5913,5922,5924 +,0,5927,5928,0,0,0,0,5929,5930,0,5933,0,0,0,0,5949,0,0,5951,0,0,0,0,0,0,0,0,5953 +,0,0,5954,0,5959,5960,5961,0,5964,0,0,0,5976,5978,5987,5990,0,0,0,0,0,5991,0, +5992,0,0,0,5994,5995,0,0,5996,0,0,6001,6003,0,0,0,0,6007,0,0,0,0,0,6008,0,0,6009 +,0,6010,0,0,0,6011,6015,0,6017,0,6019,0,6023,0,0,0,0,0,0,0,6025,0,0,0,0,0,0,0,0, +0,0,6026,0,6030,0,0,6032,0,0,0,6033,6038,6040,0,0,0,6041,6045,0,0,6046,0,0,6053, +0,0,6054,0,6055,0,0,0,0,0,0,6057,0,6063,0,0,0,6064,0,6066,6071,6072,0,0,0,0,0,0, +6075,6076,0,0,6077,0,0,0,0,0,0,0,0,0,6078,6079,0,0,0,0,0,0,0,0,6080,0,6083,0,0,0 +,0,0,6084,0,0,6088,0,6089,0,0,6093,6105,0,0,6107,0,6110,0,0,0,6111,6125,6126,0,0 +,0,6129,0,0,0,0,6130,0,0,0,6131,6134,0,0,0,0,0,0,6142,0,0,0,0,0,6144,0,0,6146, +6151,6153,0,6156,0,6163,0,6180,6181,0,0,0,0,0,6182,0,0,0,0,6184,6195,0,0,6206,0, +6208,0,0,6212,6213,6214,0,6215,0,0,0,6228,0,0,0,6234,0,0,0,0,0,0,6235,6240,0, +6242,6243,6244,0,6250,6255,0,0,0,0,0,6257,0,0,0,6258,6278,0,6284,0,0,0,6285,0,0, +0,0,0,0,0,0,6286,0,0,0,6320,0,0,6322,6332,0,0,0,0,0,0,0,0,6334,0,0,0,0,0,0,0, +6335,0,0,6337,0,6338,0,6339,6340,0,0,6356,6357,6369,0,0,0,6370,6371,6372,0,6373, +0,0,0,0,0,6376,0,0,0,0,0,6382,6383,6384,0,0,0,0,6386,0,6389,6397,6400,6411,0, +6414,0,0,0,0,0,0,0,6415,6416,0,0,0,0,0,0,6417,0,0,0,0,6418,0,0,0,0,0,0,0,6420,0, +6421,6423,6425,0,6429,6430,0,6433,6438,0,0,0,0,0,0,0,0,0,0,6439,6440,0,0,6441,0, +0,6444,0,0,0,0,6446,0,0,0,0,6447,6448,0,0,6450,0,0,0,6454,0,0,6455,0,6461,0,0,0, +0,0,0,6462,0,0,6463,0,6464,0,6465,6467,0,0,0,6468,0,6479,6480,0,0,0,0,0,0,0,6481 +,0,0,6485,6487,0,0,0,0,0,0,6493,0,0,0,0,0,0,0,0,6494,6495,6496,0,0,0,0,0,6498,0, +0,0,6507,6508,0,0,0,0,0,0,0,0,0,0,6511,6512,0,0,0,0,6513,0,0,0,6514,0,0,0,0,0, +6516,0,0,6517,6518,0,0,0,6519,6520,6521,0,6523,0,0,0,0,6524,6528,0,6530,0,0,6532 +,0,6578,0,0,0,6583,0,6584,0,0,0,6587,0,0,0,6590,0,6591,0,0,0,0,0,6592,0,0,0,0, +6593,6594,0,0,0,0,0,6599,6600,0,0,6601,6602,6604,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +6608,0,0,0,0,0,0,0,0,6610,6611,0,6615,0,6616,6618,6620,0,6637,0,0,0,0,6639,0,0,0 +,0,6641,0,6642,0,0,0,6647,0,6660,6663,0,6664,0,6666,6669,0,6675,6676,6677,0,0,0, +0,0,0,0,0,0,6678,0,0,0,6679,0,6680,0,0,0,0,0,0,0,6693,0,0,0,0,0,0,0,0,0,6704, +6705,6706,0,0,6711,6713,0,0,0,0,0,6716,0,0,0,6717,0,6719,6724,0,0,0,0,0,0,0,0, +6725,6726,0,0,0,0,0,6728,6729,6735,0,6737,6742,0,0,6743,6750,0,6751,0,0,6752, +6753,0,0,0,0,0,0,6754,0,0,0,0,0,6756,0,0,0,0,0,0,6763,0,0,6764,6765,0,0,0,6770,0 +,0,0,6776,6780,0,6781,0,0,0,6783,0,6784,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +6785,0,0,0,6792,0,0,0,6793,0,0,6802,0,0,0,0,0,6803,0,0,0,6804,0,0,0,6812,0,0, +6823,0,6824,6839,0,0,0,0,6852,0,0,6854,0,6856,6857,0,0,0,0,0,0,0,0,0,6867,0,6868 +,6870,6872,0,0,0,6873,6874,0,0,0,0,0,6875,0,0,6877,0,0,0,0,0,0,0,6878,0,0,0,6879 +,0,6880,0,0,0,0,0,0,0,0,0,0,6887,0,6888,6891,6893,0,6895,0,0,0,0,0,0,0,0,6899,0, +0,0,0,6901,0,0,0,0,6910,0,6911,0,0,6912,0,0,6913,6914,0,0,0,6915,0,0,0,6916,6919 +,0,0,0,0,0,0,6924,0,6925,0,0,0,6926,6927,6928,0,6929,0,6930,0,0,6931,6935,0,6936 +,0,0,0,0,6939,6940,6941,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6942,6948,6949,0,0,0,0,0,0 +,0,6952,6954,6963,6965,6966,0,0,6967,6968,0,0,0,0,0,0,0,0,0,6969,0,0,6970,6979,0 +,0,6980,0,0,6983,0,0,0,0,0,6984,0,0,0,0,0,0,0,6988,6990,6992,0,0,0,0,0,0,0,6995, +0,0,0,7012,0,0,0,0,0,0,0,0,0,7019,0,0,0,0,0,0,0,0,7021,0,0,7022,7023,7028,0,7030 +,7033,0,0,0,0,0,0,7038,0,0,0,0,0,0,0,0,0,0,7039,0,0,0,0,0,7046,0,7047,0,0,0,0,0, +0,0,0,0,0,0,7048,7052,0,0,0,0,0,7054,0,7060,0,0,0,0,7061,0,7065,0,0,0,0,7067, +7069,0,7070,7071,7072,0,0,7078,0,7080,7081,0,7083,0,0,0,7084,7087,7088,0,0,7090, +0,7093,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7107,0,0,7108,0,0,0,0,0,0,0,0,7110,0,7114,0 +,0,0,0,0,0,0,7115,0,7116,0,0,0,0,0,7117,0,0,7118,0,0,7124,0,7125,0,0,7126,0,0,0, +0,7128,0,0,0,0,0,7129,0,7130,0,7132,7133,0,0,7134,0,0,7139,0,7148,7150,0,0,0,0, +7152,0,0,0,7153,7156,7157,0,0,0,0,0,7158,0,0,0,0,0,0,0,0,0,0,7163,7165,7169,0, +7171,0,0,0,0,0,0,0,0,0,7172,0,7173,7181,0,0,0,0,0,7182,7185,0,0,0,0,7187,0,7201, +7204,0,0,0,0,0,7206,7207,0,0,0,0,7211,7216,0,7218,0,0,0,0,7226,7228,7230,7232, +7233,7235,7237,0,0,0,0,7238,7241,0,7242,0,0,7247,0,0,0,7266,0,0,0,0,0,0,0,7289,0 +,0,7290,7291,0,0,7292,0,7297,0,0,0,0,0,0,0,0,0,0,7300,0,7301,0,0,0,0,0,0,0,0,0,0 +,0,0,7302,0,0,0,0,7305,0,0,0,0,7307,0,7308,0,7310,0,7335,0,0,0,0,0,0,0,7337,0, +7343,7347,0,0,0,0,0,7348,0,7349,7350,7352,7354,0,0,0,0,7357,0,7358,7366,0,7367, +7368,0,0,7373,0,0,0,7374,0,0,0,0,0,0,0,7376,0,0,0,7377,0,0,0,0,0,7378,0,7379, +7380,0,0,0,0,0,7383,0,0,7386,0,0,0,0,7398,0,0,0,7399,7400,0,7401,0,0,0,0,0,0,0, +7402,0,0,0,0,0,7405,0,0,0,0,0,7406,0,0,0,0,0,0,0,0,7421,7427,7429,0,0,0,7435,0,0 +,7436,0,0,0,7437,0,0,0,0,0,0,7438,7443,0,7446,0,7448,0,0,0,0,0,0,0,0,0,0,7456,0, +0,0,0,0,7457,0,0,7461,0,0,0,0,0,7462,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7463,7466,7472, +0,7476,0,0,7490,0,7491,0,0,7493,0,0,0,7498,7499,0,0,7508,0,0,0,0,0,7512,0,0,0, +7513,7514,7516,0,0,0,0,7518,0,0,7519,7521,7522,0,0,0,7526,0,0,7529,0,0,7531,0, +7536,0,7538,0,7539,0,0,7541,7542,7546,0,0,0,0,0,7547,0,7548,0,0,0,0,0,7550,0,0, +7552,7553,0,0,0,0,0,0,0,0,0,0,7554,7563,0,7573,0,0,0,0,0,0,7574,7576,0,7578,7581 +,7583,0,0,0,7584,0,7587,0,0,0,0,0,7589,0,0,0,7594,0,0,7595,0,0,7600,7602,7610,0, +0,0,0,0,7612,0,7613,7614,0,0,7615,0,0,7616,0,7620,0,7621,7622,0,7623,0,0,0,0, +7626,0,0,0,0,7627,7629,7631,0,0,7633,0,0,0,0,0,7639,0,7640,7642,0,0,7643,0,0,0,0 +,7644,0,0,0,0,0,0,0,7645,0,0,0,0,0,7661,7662,7663,7665,0,7666,0,7667,0,7684,7688 +,7690,0,7691,0,0,0,0,0,0,7692,0,0,7700,0,7707,0,7708,0,7709,0,7721,0,0,0,7722,0, +7724,0,0,0,0,0,0,7729,7731,0,7732,0,7733,7735,0,0,0,0,0,0,0,7739,0,0,7741,7745,0 +,7748,0,0,0,7751,0,0,0,7752,0,0,0,0,0,0,0,7753,0,0,7756,0,7757,0,7759,0,7760,0,0 +,0,0,7761,7768,0,0,7769,0,0,7770,0,0,7771,0,0,7772,0,0,7773,0,0,0,0,0,7778,7783, +0,0,0,0,0,7784,7785,0,7790,0,0,0,0,7792,0,7798,0,0,0,0,0,7799,0,7810,0,0,7813,0, +7814,0,7816,0,7818,7824,7825,7826,0,7828,7830,0,0,0,7840,0,7842,0,7843,0,0,0,0, +7844,0,0,0,0,0,0,0,7846,0,0,0,0,0,7856,7857,7858,7862,0,7865,0,0,7866,0,0,7913,0 +,0,0,0,7914,0,0,7915,7917,7918,7919,0,7920,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7921, +7922,0,7924,0,0,7925,0,0,7927,0,7930,7935,0,0,7937,0,0,0,0,0,0,7939,0,7940,0,0,0 +,0,0,7941,0,0,0,0,7945,0,0,0,0,7949,0,0,0,0,0,0,0,0,7950,0,7953,0,0,0,0,0,0,0, +7968,0,0,0,0,7969,7972,7992,0,7993,0,0,0,0,0,0,0,0,0,0,0,7994,0,0,0,0,8007,8008, +0,0,0,0,0,0,0,0,0,0,0,0,8010,0,0,0,8012,0,0,0,0,0,0,0,0,8018,0,8028,8029,0,0, +8030,0,0,8032,8033,0,0,8034,8036,0,0,0,0,0,0,0,0,0,0,8037,0,0,0,8043,8052,8059, +8060,0,0,8061,0,0,0,8062,0,8063,0,8064,0,8066,8068,0,0,0,8080,8081,0,8089,0,0,0, +0,0,8092,0,0,0,0,0,0,8093,8110,0,0,0,0,0,0,0,8111,0,0,0,0,0,8112,8115,0,8117,0,0 +,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8120,8121,8122,8128,8129,8130,8131,0,0,8139,0,0, +8144,0,0,0,0,8145,8146,8153,0,0,0,0,0,0,0,0,8154,0,8157,8160,8162,0,8164,8165,0, +0,0,0,8166,8167,0,0,8179,0,0,0,8185,0,0,0,8186,0,0,8187,0,0,0,8188,0,0,0,0,0, +8204,0,0,0,0,8210,0,0,0,0,0,8213,0,8214,0,0,8215,0,0,0,0,0,0,8218,0,0,0,0,0,0,0, +0,0,8219,0,8221,0,0,8222,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8225,0,0,0,8233,0,0, +8242,0,0,0,0,0,0,0,0,0,0,0,8247,0,8248,8252,0,8256,8257,0,0,8261,0,8264,8265,0,0 +,0,0,8267,0,0,0,8269,0,0,0,0,0,0,0,0,0,8270,0,0,0,8278,0,8279,8283,0,0,8285,8286 +,8289,8292,0,0,0,0,8293,8295,8299,8300,8301,0,0,0,0,0,0,8304,8307,0,0,0,0,0,0,0, +8321,0,0,0,8322,8323,8325,8326,8327,0,0,8332,8338,0,0,8340,0,0,0,0,0,8350,0,0, +8351,0,8354,8355,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8360,8372,0,0,0,0,0,0,0,0,8377,0,0, +0,0,8380,0,0,0,8383,0,8384,0,0,0,0,8386,8392,0,0,8394,0,0,0,0,0,0,0,8396,8397,0, +8398,0,8399,0,0,0,0,0,8400,0,8401,8410,8411,0,8412,8413,8422,0,0,0,0,8423,0,0,0, +0,8424,0,0,8425,0,0,0,0,0,0,0,8441,8442,0,0,0,0,0,0,8443,0,0,8444,0,8447,0,0,0,0 +,8451,0,8458,0,8462,0,0,8468,0,8469,0,0,0,8470,0,8473,8479,8480,0,0,0,0,8481, +8483,0,0,0,0,0,0,0,0,0,8484,0,0,8490,0,0,0,0,0,0,8491,8493,8494,0,8528,0,0,0,0,0 +,0,0,8530,0,0,0,0,0,0,0,0,8534,8538,8540,0,0,8541,0,0,8545,0,8557,0,0,8569,8570, +0,0,8571,8574,8575,8579,0,8583,0,0,0,0,8591,0,0,0,0,0,0,0,0,8606,0,8607,0,0,0,0, +0,0,0,0,0,8608,0,0,8609,0,0,0,8610,0,0,0,8611,0,0,8613,8617,8621,0,0,8622,0,8623 +,0,8624,8625,0,0,0,0,0,0,0,0,0,8637,8638,8639,8650,0,0,0,0,8652,8654,8655,0,0,0, +0,0,0,0,0,0,0,8656,0,0,0,0,0,8657,0,0,0,0,0,0,0,0,0,8658,0,0,8659,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,8660,0,0,0,0,0,0,8661,8663,8664,0,0,0,0,8665,0,8669,0, +0,0,0,0,0,0,8671,8674,0,8684,0,8686,0,0,0,8689,0,0,0,8690,0,8706,0,0,0,0,0,0,0,0 +,0,0,0,8710,0,8711,8713,8714,8724,8727,8728,8733,8736,0,8737,8739,0,0,0,0,8742, +8743,8745,8754,0,0,0,0,8756,0,0,0,0,0,0,8757,8760,0,0,0,0,0,8762,8763,8764,0, +8766,8769,8770,8773,0,8774,0,8779,0,0,0,0,8780,0,0,8781,0,0,8783,0,0,0,0,0,0,0,0 +,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8784,0,0,0,0,0,0,0,0,8785,0,0,0,0,8786,0,0,0,0,8788 +,8790,0,0,0,8803,0,8813,8814,0,0,0,0,0,8815,8816,0,0,0,0,8818,0,0,0,0,8822,8828, +8829,0,8831,0,0,0,0,8833,0,0,0,8834,0,0,0,8835,0,8836,0,0,0,8837,0,0,0,0,0,0, +8838,8839,0,0,0,0,0,0,0,0,0,0,0,8840,0,0,0,8841,0,8842,0,0,0,8846,0,0,0,0,0,0,0, +8847,0,8848,0,0,8864,0,0,8866,0,0,8870,8872,0,0,8873,8874,0,0,0,0,0,0,8875,0, +8876,0,0,0,0,8896,8900,0,0,0,0,8901,0,0,0,0,0,8904,0,8907,0,0,0,0,8911,8912,8913 +,0,0,0,8914,0,8915,0,0,0,0,0,0,0,0,0,0,0,0,8916,0,0,0,8929,0,0,0,0,0,0,0,0,0,0, +8930,0,8932,0,8943,0,0,0,8945,8947,0,0,0,0,8949,0,8950,0,8954,8957,0,0,8970,0,0, +0,0,8971,0,8996,0,0,0,0,8997,9000,0,0,0,0,9001,9002,0,9004,9009,9024,0,0,0,0,0,0 +,0,0,0,0,0,0,9027,9082,0,0,9083,9089,0,0,0,0,0,0,9090,0,0,0,9092,0,0,9093,0,9095 +,0,0,9096,9097,9101,9102,0,0,0,0,0,0,0,0,9112,0,0,0,0,0,0,9114,0,0,9120,0,9121, +9122,0,0,0,9123,9124,0,0,9125,0,0,9126,0,9127,0,0,9129,9131,0,0,0,9132,0,0,9136, +0,9144,0,0,9148,0,0,0,0,0,0,9149,0,9152,9163,0,0,9165,0,0,0,0,0,0,0,0,0,0,0,0,0, +9166,0,9169,0,0,0,0,0,0,0,9170,0,0,0,0,9172,0,9174,9175,9176,0,9177,0,0,0,0,0,0, +0,0,9186,0,9187,0,0,0,9188,9189,0,0,9190,0,0,0,0,9191,0,0,0,9193,0,0,0,0,9197, +9198,0,0,0,9208,9211,0,0,0,0,9216,9217,0,9220,0,0,0,0,9221,9222,9223,0,9224,9225 +,0,0,9227,0,9228,9229,0,0,9230,0,9232,0,9233,0,0,0,0,0,9234,9235,0,0,9237,0,0,0, +0,0,0,0,0,9238,9240,0,0,9241,0,0,0,0,9244,0,0,0,0,9247,0,0,0,0,0,0,0,0,0,0,9248, +0,0,0,9249,0,0,0,0,0,9250,0,0,0,0,9251,0,0,9252,9255,0,0,0,9256,0,0,0,0,0,0,0, +9257,0,0,9258,0,0,0,0,0,0,9259,0,0,0,0,0,9262,9263,0,0,9265,9266,0,0,0,0,0,0,0,0 +,9268,9271,0,0,0,0,0,0,0,0,0,9273,0,0,0,9276,9277,9279,0,0,0,0,0,0,0,9280,0,0, +9293,0,0,0,0,0,9297,9301,0,0,0,0,0,0,0,0,0,0,0,9308,9309,9313,9321,9322,0,9326, +9327,0,0,9477,0,9479,0,0,0,0,9482,0,0,0,9483,0,9484,0,0,0,0,0,0,0,0,0,9485,0,0, +9486,0,0,0,9489,0,0,0,0,9490,9491,0,0,0,0,9493,0,9495,9496,0,0,0,0,0,0,0,0,9500, +0,9502,0,0,0,0,0,9504,9507,0,9509,0,9511,0,0,9513,0,0,0,0,0,0,0,0,9515,0,0,0,0,0 +,0,9516,9517,0,0,0,0,9532,0,0,9533,0,0,9538,0,9539,9540,0,0,0,0,9541,0,0,0,9542, +0,0,0,0,0,0,0,0,9544,9545,0,9546,0,0,0,0,0,0,9547,9548,0,0,0,9550,0,9557,0,9558, +0,9561,0,9563,9570,0,9572,9574,9575,0,0,0,9577,9592,0,0,9596,0,0,0,9598,0,9600,0 +,9601,0,0,0,0,0,0,9608,0,9638,9639,0,0,0,0,0,0,0,9641,0,0,9643,9644,9645,9646,0, +0,0,9648,0,0,0,0,0,0,0,9650,9654,0,0,0,0,0,0,0,0,9655,0,0,0,0,0,9656,0,9657,0,0, +0,0,9658,0,0,9659,0,0,9664,0,0,9665,0,9667,9669,0,0,0,0,0,0,0,0,0,0,0,0,9671,0, +9673,9681,0,0,0,0,9682,9683,9684,0,0,0,0,9686,9698,0,0,9700,9701,9702,0,9703, +9717,0,0,0,0,9718,0,9726,0,0,0,0,9727,0,0,0,9728,0,9742,0,9744,0,0,0,9750,0,9754 +,9755,0,0,0,0,0,9756,0,9757,9768,0,9769,0,0,0,9770,9771,0,9773,0,9774,0,9775,0,0 +,0,9776,9777,9784,0,0,0,9786,0,9789,0,0,0,0,9793,9794,0,0,0,9808,0,0,0,0,0,9811, +0,0,0,0,0,0,0,0,0,0,0,0,9812,0,9820,0,9823,0,9828,0,0,0,0,9830,0,0,9833,9836,0,0 +,0,9840,0,0,0,9841,0,0,9842,0,9845,0,0,0,9847,9848,0,0,9855,0,0,0,0,0,0,9856, +9863,9865,0,0,0,0,0,0,0,0,9866,9867,9868,9873,9875,0,0,0,0,0,0,9880,0,9886,0,0,0 +,9887,0,0,9891,0,0,0,0,0,0,0,9906,9907,9908,0,0,0,9909,0,0,0,0,0,0,9910,0,0,0,0, +9913,0,0,0,0,9914,0,0,0,0,0,9922,0,0,0,0,9923,9925,0,0,0,0,0,0,9930,0,0,0,9931,0 +,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9932,0,9939,0,0,9940,9962,9966,0,9969,9970,0,0,9974 +,0,9979,9981,9982,0,0,0,9985,0,0,0,0,0,0,9987,0,0,0,0,0,0,0,9988,9993,0,0,9994,0 +,0,0,9997,0,10004,0,0,0,0,0,10007,10019,10020,10022,0,0,0,10031,0,0,0,0,0,10032, +0,0,10034,0,10036,0,0,0,0,10038,0,10039,10040,10041,10042,0,0,0,0,0,10043,0,0,0, +0,0,10045,10054,0,0,0,0,10055,0,0,10057,10058,0,0,0,0,0,0,10059,0,0,0,0,0,0,0, +10060,0,0,0,0,0,0,0,10063,0,10066,0,0,0,10070,0,10072,0,0,10076,10077,0,0,10084, +0,10087,10090,10091,0,0,0,10094,10097,0,0,0,0,0,0,10098,0,0,0,0,0,0,10103,0, +10104,0,10108,0,0,0,0,0,0,0,0,10120,0,0,0,10122,0,0,10125,0,0,0,0,10127,10128,0, +0,10134,0,10135,10136,0,10137,0,0,10147,0,10149,10150,0,0,10156,0,10158,10159, +10160,10168,0,0,10171,0,10173,0,0,0,10176,0,0,0,0,10177,0,0,0,0,10178,0,0,0,0, +10194,0,10202,0,0,10203,10204,0,10205,10206,0,10207,0,0,0,0,10209,0,0,0,0,0,0,0, +10213,0,0,0,0,0,0,10217,0,10229,0,10230,10231,0,0,10232,0,0,10237,10238,10244,0, +0,0,0,0,10250,0,10252,0,0,0,0,0,0,10255,0,0,10257,0,0,0,0,0,0,10258,0,10259,0,0, +0,0,0,0,0,0,10260,0,0,0,0,0,0,0,10284,10288,10289,0,0,0,10290,0,10296,0,0,0,0,0, +10297,0,0,0,0,0,0,10298,0,0,0,0,10299,10303,0,0,0,0,0,10306,0,0,0,10307,0,10308, +0,0,0,0,10311,0,0,0,0,0,0,0,10315,10317,0,0,0,10318,10319,0,10321,0,10326,0, +10328,0,0,0,0,10329,0,0,10331,0,10332,0,0,0,0,0,0,10334,0,0,10335,10338,0,0,0,0, +0,10339,10349,0,0,0,0,0,0,10351,0,10353,0,0,0,0,0,0,10362,0,10368,0,10369,0,0,0, +10372,10373,0,0,0,0,0,10374,0,0,0,10375,0,10376,0,0,10386,10388,10390,0,0,0,0,0, +0,0,10391,0,0,10392,10394,0,0,10396,0,10397,0,10403,0,0,0,0,0,0,0,0,10404,0, +10405,10410,0,0,10411,0,10412,0,0,0,0,0,0,0,10421,10422,10423,0,0,0,0,0,0,0,0,0, +10425,0,0,10427,0,0,10430,0,0,0,0,0,10432,0,10433,10434,0,0,0,0,10436,10437,0, +10438,0,10439,0,10444,10446,0,0,0,0,0,10448,0,0,0,0,0,10449,0,0,0,0,0,0,0,10451, +0,10453,0,0,0,10454,10457,0,0,10459,0,10469,0,0,0,0,0,10472,10481,0,0,0,0,0, +10482,10483,0,10492,0,0,0,0,0,0,0,0,0,0,10499,0,0,0,10502,0,0,10510,0,10521, +10524,0,0,10525,10526,10528,0,0,0,0,0,0,0,0,10530,0,0,0,0,10533,0,10534,0,0,0,0, +0,0,0,0,0,0,10535,10536,0,0,10544,0,10553,10556,0,10557,10559,0,0,0,0,0,10562, +10563,10564,0,10565,0,0,0,10566,0,10567,0,0,0,0,10575,0,0,10576,0,10578,0,0,0,0, +0,0,0,0,0,0,10585,10586,10587,10589,0,10590,0,0,10594,0,0,0,0,0,10598,0,0,10601, +0,0,0,10602,0,10603,0,10604,0,10605,0,0,10607,0,10626,0,10627,0,0,0,0,0,10629, +10630,10631,0,0,0,10646,0,0,0,10647,0,10650,0,10651,0,0,0,10652,10653,10655,0, +10658,0,0,10659,0,10667,0,0,0,0,10669,0,0,0,0,0,0,0,0,0,10670,0,0,0,10671,0,0,0, +0,10672,10673,0,10674,0,0,0,10676,0,0,0,0,0,0,10678,0,10682,0,0,10692,0,10697,0, +0,0,0,10698,0,0,0,10700,0,0,0,0,0,10703,0,10704,0,0,0,0,0,0,0,10705,0,10715, +10718,10720,0,0,10722,0,0,0,0,0,0,0,0,10723,0,0,0,0,10726,0,0,0,0,0,10727,10730, +10743,0,0,0,0,0,0,10744,0,0,10745,0,0,0,0,0,0,10748,0,0,0,0,10750,0,0,10752, +10753,0,0,0,10756,0,0,0,0,0,0,10758,0,0,0,10759,0,10769,0,0,10772,0,0,0,0,0,0, +10773,0,0,0,10777,0,0,10779,0,0,0,0,0,0,0,0,10780,10784,0,0,0,10789,0,0,0,10791, +0,0,0,0,0,0,0,0,0,10795,0,0,10796,0,10808,0,10809,0,0,0,10810,0,0,0,10812,0,0, +10814,0,0,0,0,0,0,0,0,0,10815,0,0,0,0,10816,10817,0,0,0,0,10819,0,10820,0,0,0,0, +10821,10822,10823,0,10826,10849,0,0,0,0,10850,0,0,10852,0,10853,0,0,10856,0,0, +10857,10858,10859,10860,0,0,0,0,0,0,10863,0,10866,10867,10872,10890,0,0,10891, +10892,0,0,0,0,0,10893,0,0,0,10896,10899,0,0,10900,10902,0,0,0,0,0,10903,0,0,0,0, +0,0,0,0,0,0,0,0,10905,0,10906,0,0,0,0,10908,10911,0,10912,0,0,10916,0,0,0,0,0, +10917,0,10918,0,0,0,10923,0,0,0,0,0,10924,0,0,10928,10929,0,0,10930,0,0,0,10932, +0,0,0,0,10939,0,0,10945,0,0,0,10947,0,0,10948,0,0,0,0,0,0,0,0,0,0,0,0,10958,0, +10960,10962,0,0,10964,0,0,0,10966,0,0,0,0,0,0,0,0,0,0,10967,0,0,0,10968,0,0,0, +10973,0,0,0,0,0,10975,0,0,0,10976,10978,0,0,10982,10984,10987,0,0,10988,0,10989, +0,0,10991,0,0,0,0,10992,0,0,0,10993,0,10995,0,0,0,10996,10997,0,0,0,10998,0, +10999,0,11001,0,0,0,0,0,0,11010,11012,0,11013,11016,11017,0,0,11019,11020,11021, +0,0,0,0,0,0,0,0,0,0,0,0,11022,0,0,11023,11029,0,0,0,0,11031,0,0,0,11034,0,0,0,0, +11055,0,0,0,0,0,11056,11060,0,0,0,0,0,0,11061,0,0,11064,11065,0,11066,0,11069,0, +11085,0,0,0,0,0,11086,0,0,0,11088,0,0,0,11094,0,0,0,11095,11096,0,0,0,0,0,0, +11097,11098,0,0,0,0,0,0,11099,0,0,11102,11108,0,0,0,11109,0,11114,11119,0,11131, +0,0,0,11142,0,0,11143,0,11146,0,11147,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11148,0, +11149,11152,11153,11154,0,11156,0,11157,0,0,0,11158,0,0,11159,11160,0,0,0,0,0,0, +0,0,0,0,0,0,11163,0,0,11164,11166,0,0,0,11172,11174,0,0,0,11176,0,0,0,0,0,11182, +11183,0,0,0,11184,11187,0,0,11188,11189,0,0,0,0,0,0,11194,0,0,0,0,0,0,0,11200, +11202,0,0,0,0,0,0,11203,0,11204,0,0,0,0,0,11205,0,0,0,11206,0,11207,0,0,11209,0, +11211,0,11214,0,0,11231,0,0,0,11293,11295,0,0,11296,11297,11302,0,0,0,11307,0,0, +0,0,11309,11310,0,11311,0,0,0,11313,0,11314,0,0,0,0,11334,0,11338,0,0,0,11339,0, +0,0,0,0,11340,0,11341,11342,0,11344,0,11345,0,0,0,11348,11349,0,0,11350,0,0,0, +11355,0,0,0,0,0,0,11356,0,11357,11370,0,0,11371,0,11374,11376,0,0,0,11377,0,0, +11378,11383,0,11386,11399,0,11400,11406,0,0,0,11408,0,0,11409,11412,0,0,0,0, +11417,0,0,0,11418,0,11421,0,11426,11429,0,0,0,0,0,11430,0,11437,0,11438,0,0,0,0, +0,11440,11453,0,0,0,0,0,0,11454,0,0,0,0,11455,0,0,11456,11460,11461,11463,0, +11469,0,11473,0,0,0,0,11474,0,0,0,11475,0,11476,11477,11480,0,0,0,0,11481,0,0, +11484,0,0,11487,0,0,0,0,0,0,0,0,0,0,11497,0,0,11502,0,11509,0,0,11510,11511, +11513,0,0,0,0,0,0,0,0,0,0,11515,0,0,0,0,11516,0,11520,11521,0,0,0,0,0,0,0,0,0,0, +0,11529,11530,11531,11534,0,0,11543,0,0,0,0,0,11547,0,11548,0,0,0,0,0,11552, +11556,0,11557,0,0,11559,0,11560,0,0,0,0,0,0,11561,0,0,11563,11564,0,11565,0,0,0, +0,11567,0,0,0,11569,0,11574,0,11575,0,0,0,11577,0,11578,0,0,0,11580,11581,0,0,0, +11582,11584,0,0,0,0,0,0,0,11587,0,11588,11591,0,11595,0,0,0,0,0,0,0,0,11596,0, +11597,0,0,0,0,11598,11601,0,0,0,11602,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11603, +11604,0,11606,0,0,11608,0,0,0,0,11610,0,0,11611,0,0,0,0,11613,0,11622,0,0,0, +11623,0,0,0,0,11625,0,0,11626,11627,11628,11630,0,0,0,0,0,0,11639,0,0,11646,0, +11648,11649,0,11650,0,0,0,0,0,0,0,0,0,11651,0,0,11652,11653,11656,0,0,11677, +11679,0,0,0,0,11680,0,0,11681,0,11685,0,0,0,0,0,0,0,0,11688,0,0,0,11716,0,11719, +0,0,0,0,0,11721,0,0,11724,11743,0,0,0,0,0,0,0,0,11745,11748,11750,0,0,0,0,0, +11751,0,0,0,11752,11754,0,11755,0,0,0,0,0,0,0,11759,0,0,0,0,0,0,11760,0,0,0, +11761,0,0,0,0,0,0,11766,11767,0,11772,11773,0,11774,0,0,11775,0,11777,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,11778,11780,0,0,0,0,0,0,0,11783,0,11784,0,0,0,11785, +0,0,0,11786,0,0,0,0,11788,0,0,11789,11791,11792,0,0,0,0,11795,11834,11835,11836, +0,0,11837,0,0,0,11838,0,0,11846,11851,0,11852,0,11869,0,0,0,11871,0,0,0,11872, +11874,0,0,0,0,0,0,11875,0,11876,11877,0,0,0,0,0,0,0,0,0,0,11883,0,0,0,0,0,0,0, +11884,0,11885,0,11886,0,0,11887,0,11894,11895,11897,11909,11910,0,11912,11918,0, +0,11920,0,11922,11924,11927,11928,0,0,0,0,11929,0,11934,0,0,0,0,0,11941,11943, +11944,0,11945,0,0,0,0,11948,11949,0,0,0,0,11953,0,11954,0,11955,0,11956,0,0,0,0, +0,11957,0,0,11959,0,0,0,0,0,0,0,0,11961,0,0,0,0,0,11978,0,0,0,11979,11980,11986, +11987,0,11992,0,0,0,0,0,11993,0,0,0,11994,0,11999,12004,12005,12006,0,0,0,0,0, +12011,0,0,12012,12014,0,0,12015,0,0,12019,12028,0,0,12029,0,0,12032,12033,0,0,0, +0,12034,0,12041,12043,0,0,12044,0,0,0,0,0,0,0,12046,0,0,0,0,0,0,0,12054,12055,0, +12056,0,0,0,12060,12064,0,0,0,0,0,12065,12067,12068,0,0,0,0,0,0,0,0,12074,0,0,0, +12075,12076,0,0,0,12079,0,12081,12086,12087,0,0,12088,0,0,0,0,12089,0,12092,0,0, +0,0,12097,0,0,0,0,0,0,0,0,12098,0,0,0,0,0,0,0,0,0,0,0,0,0,12102,12103,12104, +12111,0,0,12114,12116,0,0,0,12118,0,0,0,12119,12120,12128,0,0,0,0,12130,0,0,0,0, +0,0,12131,0,0,0,12132,12134,0,0,0,0,12137,0,12139,0,12141,0,0,12142,0,0,0,12144, +0,0,0,0,0,12145,0,12148,0,12153,0,0,0,0,12154,12171,12173,0,0,0,12175,0,0,0,0, +12178,0,0,0,0,0,0,0,12183,0,0,0,0,0,0,0,0,12184,0,0,0,12186,0,0,0,0,0,12187, +12188,0,0,12189,0,12196,0,12197,0,0,12198,0,12201,0,0,0,0,12203,0,12209,0,0,0,0, +12210,12211,12212,12213,0,12217,12218,0,0,0,0,0,0,0,0,0,12222,0,0,0,0,0,0,0, +12223,0,0,12229,0,0,0,0,12233,0,0,0,0,12234,0,0,12236,12242,0,0,0,12243,0,0,0, +12244,12253,0,12254,12256,0,12257,0,0,12275,0,0,0,0,0,12277,0,0,0,0,0,12278,0, +12289,0,0,12290,0,12292,12293,0,0,12294,0,12295,0,0,12296,0,12297,0,12298,0,0,0, +0,12301,0,0,0,0,0,0,0,0,0,0,0,0,0,12309,0,12338,12340,0,0,0,0,12341,0,0,0,0,0,0, +0,0,12342,12343,0,12344,0,0,0,0,0,0,0,0,0,12345,0,0,0,0,0,0,0,0,12346,0,0,0,0, +12348,0,0,0,0,0,0,0,0,0,0,0,0,12350,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12351,0,12355, +12356,12357,0,0,12367,12370,12371,0,0,0,0,0,12372,12376,0,0,0,0,0,0,0,0,12379,0, +12382,0,12383,0,0,12384,0,0,0,0,12393,0,0,12394,0,0,0,0,12398,12403,0,0,12404,0, +0,0,0,0,0,0,0,0,0,0,0,0,12410,0,0,0,12411,0,0,0,12412,0,0,0,0,12420,0,12421,0,0, +0,0,0,12423,0,12425,12429,0,0,0,12431,12432,0,0,0,0,0,0,0,0,0,0,0,0,12434,0,0,0, +0,0,12435,12436,0,0,0,0,0,0,0,0,12437,0,0,0,0,0,12438,0,0,0,0,0,0,0,0,12445,0,0, +0,12450,12451,0,0,0,0,0,0,0,0,12452,12475,0,0,12493,12494,0,0,0,12495,0,0,0,0, +12496,12502,12509,0,0,0,0,12510,0,12512,12513,0,0,0,0,12514,0,0,0,12515,0,12520, +0,0,0,12524,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12527,0,0,0,12528,0,0,0,12529,0,0,0, +0,0,12530,0,12535,0,0,12536,0,12538,0,0,0,0,0,0,0,0,0,0,0,0,12540,0,12548,0,0,0, +0,0,12550,0,0,0,12551,12552,0,0,0,12554,0,0,0,0,0,0,0,0,12555,0,0,12562,0,12565, +0,12566,0,0,0,0,0,0,0,0,0,0,0,0,12569,0,0,0,12571,12574,0,0,0,0,0,0,0,12577,0,0, +0,0,0,0,0,12578,12579,12603,0,12608,0,0,12611,0,12612,0,12615,0,12625,0,0,0,0, +12627,12646,0,12648,0,0,12657,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12670,0,0,12671,0, +12673,12677,0,0,0,0,0,0,0,0,0,0,0,12679,0,12681,0,12682,12693,0,12694,0,12697,0, +12701,0,0,0,12703,12704,0,0,0,0,12707,12737,0,0,12739,0,0,12740,0,0,12742,12743, +0,0,0,0,0,0,0,0,0,12745,0,12746,12747,0,12748,0,0,12759,12767,0,0,0,0,12773,0, +12774,12778,0,0,0,0,0,0,0,12779,0,0,0,0,0,12780,12793,0,12824,0,12825,0,12836,0, +0,0,0,12839,0,12842,0,0,0,0,0,0,0,0,0,0,0,0,12843,12845,0,12846,0,0,0,0,12847,0, +0,12850,12852,12853,0,0,0,12854,0,0,0,12855,0,12856,0,12858,0,0,12859,0,12862,0, +12863,0,0,12866,0,12869,12872,12873,0,0,0,0,0,0,0,0,0,12875,0,12877,0,0,12878,0, +0,0,0,0,0,0,0,0,12884,12885,12888,0,12889,0,0,0,0,12893,0,0,0,12895,12896,12898, +0,0,0,0,0,0,0,12902,0,12909,12910,0,12926,0,12928,0,0,0,12929,0,12930,0,0,0,0, +12931,0,12932,12933,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12934,0,12942,0,0,0,0,12944, +0,0,0,0,0,0,0,0,12946,0,0,12948,0,0,12949,0,0,0,0,12950,0,0,0,0,12951,0,12952,0, +12953,0,0,0,12954,12958,12959,0,0,0,0,0,12960,12964,0,0,0,0,0,12966,0,0,0,0,0,0, +0,0,12970,0,12971,0,0,0,0,0,0,12972,0,0,12982,0,0,0,12984,12985,0,12986,12996, +12997,13001,13002,0,0,0,0,13004,0,0,13005,0,0,13007,13009,0,13017,0,0,0,13020,0, +13021,0,0,0,0,0,0,0,0,0,0,13022,0,0,0,0,0,0,0,0,13024,13027,0,0,0,0,0,13028,0,0, +13029,0,0,0,0,0,0,0,13032,0,13037,0,0,0,0,0,0,13040,0,0,13041,0,0,0,13043,13044, +13046,0,0,0,0,13047,0,0,0,0,0,0,0,13049,13054,0,13056,0,0,13060,13061,0,0,0,0,0, +13067,0,0,13068,0,13071,0,0,0,0,0,13077,13078,0,0,0,0,0,13079,13080,13081,0, +13082,0,0,0,13085,0,0,0,0,0,0,0,13086,0,13087,13088,0,0,0,0,0,13094,0,13099,0, +13100,0,0,0,13101,0,13125,13126,13128,13129,0,0,13130,0,13131,0,0,0,0,0,0,13134, +0,0,0,0,0,0,0,0,0,0,0,13150,0,13168,0,0,0,0,0,0,0,0,0,13169,0,0,13170,0,0,0,0, +13174,0,0,0,13176,0,0,0,0,0,13177,0,13178,13183,13187,0,0,0,13189,0,0,13190,0,0, +13191,0,0,13206,0,0,0,13207,0,0,0,0,0,0,0,0,0,0,13212,0,0,13219,13232,0,0,0, +13241,0,13249,13253,0,0,0,0,0,13255,13259,0,13260,13261,0,13262,0,13272,0,0,0,0, +13276,0,0,0,0,13277,13299,0,0,13301,13302,0,0,13303,0,0,13305,0,13310,0,0,0, +13311,0,0,0,0,13325,0,13328,0,0,0,13329,0,0,0,0,0,0,13330,0,0,13331,0,13335,0,0, +13342,0,0,0,0,0,13343,0,13354,0,13362,0,13366,13367,13369,0,0,13371,13372,0, +13373,13374,0,13376,0,13380,13381,13386,0,13387,13388,0,13389,13391,13395,0,0,0, +0,0,13401,13409,0,13410,0,0,0,0,13420,0,0,0,0,0,13422,0,0,0,0,13423,0,0,0,0, +13425,0,0,0,0,0,13427,0,0,0,13428,0,0,13430,13438,0,13439,0,13445,0,13448,13449, +0,0,0,0,0,0,13451,0,13457,0,0,0,0,13458,13459,0,13460,0,0,0,0,13464,13465,13466, +13470,0,13471,13472,13474,13475,0,13476,0,0,13478,13479,0,13481,0,0,0,0,13487,0, +13490,0,13493,0,0,13494,0,0,13495,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13496,13497,0, +13500,0,0,13516,13522,0,0,13525,13528,0,0,0,13530,13535,0,13537,13539,0,13540,0, +13543,0,13544,0,0,0,0,0,0,13545,0,0,0,0,0,0,13547,0,0,0,13549,13555,0,0,0,13556, +13557,0,0,0,0,0,0,0,13558,0,13563,0,0,0,0,13564,0,0,0,0,0,0,0,0,13566,0,0,0,0,0, +0,13569,0,0,13571,0,0,0,0,13573,0,0,0,0,0,0,13578,0,0,0,0,0,0,0,0,0,0,13581,0, +13586,0,13595,0,13600,0,0,0,0,0,0,0,0,13601,13603,0,13604,13605,13606,13607,0,0, +13617,13618,0,0,0,0,0,0,0,13623,0,13625,13627,0,0,0,0,0,0,0,0,13629,0,0,0,13634, +0,0,0,13638,0,0,0,0,0,0,0,0,13654,0,0,0,0,0,0,0,0,0,0,13656,0,13659,0,0,13660,0, +0,13662,0,0,0,13663,0,13664,0,0,0,0,0,13668,0,13669,13671,0,0,13672,0,0,0,0,0,0, +13675,13685,0,13686,0,0,0,13687,0,0,0,13692,13694,13697,0,0,0,13702,0,0,0,0,0, +13705,0,0,0,0,13707,0,0,0,13714,0,0,0,0,0,0,0,0,0,13715,0,13716,13717,0,0,13719, +13724,13730,13731,0,0,0,0,0,0,0,0,13732,0,0,0,0,0,0,0,13734,0,13736,0,0,13737, +13738,13747,0,13751,0,0,13752,0,0,0,13753,0,13757,0,0,13762,13763,0,13764,13765, +0,13766,0,0,13767,0,0,0,13768,0,0,0,0,0,0,0,13769,0,0,13772,0,13775,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,13776,13778,13787,0,0,0,13797,0,13798,0,13801,0,13804, +13806,0,0,0,0,13816,13817,0,0,0,0,0,0,0,0,0,0,0,0,0,13834,0,13836,0,0,13838,0,0, +13839,0,13840,0,0,0,0,13842,0,0,0,0,0,0,13843,0,0,0,0,0,0,0,0,0,13845,0,0,0,0,0, +13858,0,0,13860,0,0,13861,0,0,13862,13863,0,13868,0,13869,13870,0,0,0,0,0,0,0,0, +0,0,13872,0,0,0,0,13873,13878,0,0,0,0,0,0,0,0,0,0,13886,0,13888,13889,13890,0,0, +13891,13894,0,13897,13899,13900,13904,0,0,13906,0,0,0,13909,0,0,0,13910,0,0,0, +13911,0,0,0,0,0,13912,13917,0,0,0,0,13918,0,13919,0,0,13920,0,0,0,13921,0,0, +13922,0,0,0,0,0,0,0,13924,0,13927,0,0,0,0,0,13932,0,13933,0,13934,0,0,13935,0, +13944,0,0,0,13954,0,0,13955,0,0,0,0,13956,0,13957,0,13967,13969,0,0,0,0,0,0,0,0, +0,0,0,0,13970,13990,0,13991,13994,0,13995,0,0,0,0,13996,0,0,13999,0,0,0,14018,0, +14019,0,14021,0,0,0,0,0,0,14041,0,0,0,0,0,0,0,0,14043,0,0,0,0,14046,0,0,0,14048, +14049,0,0,0,0,0,0,0,0,0,0,14051,0,0,14052,14056,0,14063,0,14064,14066,0,0,14067, +0,0,0,0,0,0,0,0,0,14068,0,0,0,14072,0,14074,14075,0,14076,14079,14085,14086, +14087,14093,0,0,0,0,14095,0,0,0,0,0,0,14096,14097,0,0,0,0,0,0,0,14098,0,14102,0, +0,0,0,0,14103,0,0,0,14104,0,0,14105,0,0,0,14107,14108,0,0,14109,0,0,0,0,0,0,0,0, +14117,0,0,0,0,14118,0,0,0,0,14119,0,0,14120,0,0,14121,0,14122,14127,0,14128, +14136,0,0,14138,0,14140,0,0,0,14141,14142,0,0,0,0,14146,0,0,14149,0,14151,0,0,0, +14152,0,0,14153,0,0,0,0,0,0,0,0,0,14154,0,14156,14157,0,0,14159,0,14161,0,0,0,0, +14162,0,0,0,0,0,0,14163,0,0,14173,0,0,0,0,0,0,14174,0,0,14176,0,0,14178,0,0, +14179,14181,0,0,14182,14185,14187,0,14190,0,0,14197,0,0,0,0,0,0,0,0,0,0,0,0, +14198,0,0,0,0,0,0,14199,14200,0,0,0,14204,0,0,14208,0,0,0,0,0,0,0,0,0,0,0,14231, +0,0,0,0,0,0,0,0,0,14234,0,0,14235,0,0,0,14240,14241,0,0,0,14246,0,0,0,14247,0, +14250,0,0,14251,0,0,14254,0,0,14256,0,0,0,14260,0,14261,0,0,0,0,14262,14267, +14269,0,0,14277,0,0,14278,0,14279,14282,0,0,0,14283,0,0,0,14284,14285,0,0,0,0, +14286,0,0,0,14288,0,0,0,14289,0,14290,0,14293,14301,14302,14304,14305,0,14307,0, +14308,14309,0,0,0,0,0,0,0,0,0,0,0,14311,14312,0,0,14317,0,0,0,0,0,0,0,14318,0,0, +0,0,14320,0,0,0,0,14321,14322,0,0,0,0,0,14326,14329,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +14330,14331,0,0,0,0,14332,0,0,0,14333,0,0,14337,14340,0,14341,0,0,14342,0,14345, +14346,0,0,14347,0,14362,0,0,0,0,0,14364,14365,14371,0,14373,0,0,14374,0,14379,0, +14400,0,0,0,0,0,14401,0,0,14405,0,14406,0,14408,14409,0,0,0,14417,0,0,14424,0,0, +0,0,0,0,0,0,0,14430,0,0,0,14431,0,0,14435,0,14440,0,0,0,0,0,0,14442,0,0,14443,0, +0,0,0,0,14446,0,0,0,0,0,0,0,14454,0,14457,0,14460,0,0,14466,0,0,0,0,0,14467,0,0, +0,0,0,0,14469,0,14477,0,0,0,0,0,0,14478,14482,0,0,0,14483,0,0,0,14485,14486,0,0, +0,14487,14488,14489,14492,14493,14494,14495,14496,14497,0,14499,0,14501,0,0,0,0, +0,0,0,0,0,0,14502,0,14507,14512,14513,14514,0,0,0,0,0,0,0,0,0,0,0,14515,14526, +14530,0,14537,0,14544,0,14547,0,0,14548,14550,14551,0,0,14552,0,0,0,14553,0, +14554,0,0,0,0,14556,14564,0,0,14565,14566,0,0,0,0,0,0,14568,0,0,14569,0,0,0, +14571,14576,0,0,14577,14578,14579,0,0,14580,0,0,0,0,14582,0,0,0,0,0,0,0,0,0,0,0, +0,14583,0,0,0,0,0,14587,0,14588,0,0,14600,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,14601,0,0,14604,14605,14611,0,14613,0,0,0,0,14615,0,0,0,0,0,0,14627,0,14628,0, +0,0,0,14631,0,14633,14634,0,0,0,0,14635,0,0,0,0,0,0,0,0,14636,0,0,14639,14642,0, +0,0,0,14644,0,0,0,0,14645,14646,0,14653,0,0,14654,0,14658,0,14661,0,0,0,14665,0, +0,0,14668,0,0,0,0,0,0,0,0,0,14669,0,0,14670,0,0,0,14680,0,0,14681,0,0,0,0,0, +14682,14683,0,0,0,0,14686,0,0,0,0,14687,14697,0,0,0,0,14699,14705,14711,0,0,0,0, +0,0,0,0,0,0,14712,0,0,0,14713,0,0,0,0,14719,0,14720,14721,14726,0,0,0,14728, +14729,0,0,0,0,14731,0,0,0,0,0,0,0,14733,14736,14737,0,0,14740,14742,0,0,0,14744, +14753,0,0,0,0,14755,14758,14760,0,0,0,0,0,14761,14762,14765,14771,0,14772,0, +14773,14774,0,0,14775,0,0,14776,0,0,0,0,14777,0,14779,0,0,14782,0,0,14785,14786, +14788,0,0,0,0,0,14795,0,0,0,0,0,0,14798,0,14803,14804,14806,0,0,0,14809,0,0,0,0, +0,0,14810,0,0,0,0,14811,0,14812,0,0,0,0,0,14815,0,0,0,0,0,0,0,0,14816,0,14818,0, +0,0,0,0,0,14819,0,14820,0,14823,0,0,0,14824,0,0,14826,14827,0,0,0,0,0,0,0,0,0,0, +0,0,14830,0,0,0,0,0,14833,0,14845,0,0,0,0,0,14846,0,0,14847,14871,0,14873,0, +14876,0,14877,14878,14880,0,0,0,0,0,14881,0,14882,14894,0,0,0,0,14895,0,14907,0, +14908,0,0,0,0,0,0,0,14911,0,0,0,0,14920,0,0,14931,0,14932,14934,14935,0,0,14936, +0,14945,0,0,0,0,0,0,0,14947,0,0,14948,14949,14951,0,0,14952,0,0,0,14964,14973,0, +0,14990,0,0,0,0,14995,0,0,14998,15001,0,0,15002,15020,0,0,0,0,0,0,15021,0,15022, +0,0,0,0,15023,0,0,15025,15029,15033,0,0,0,15034,0,0,0,15035,0,0,0,0,0,15043, +15044,0,0,0,15045,15046,15048,15050,0,15065,0,0,0,0,15066,0,0,15075,15082,15084, +0,0,15085,15086,0,0,0,0,0,0,0,0,15088,0,0,0,15089,0,0,0,0,15094,0,15096,0,15097, +0,15100,0,0,15102,0,0,0,0,0,0,0,0,15105,0,0,15106,0,15109,15113,0,0,0,15115,0, +15118,0,0,0,0,0,0,15119,0,0,15120,0,0,0,0,0,15123,15129,0,0,0,15130,0,15131,0,0, +15134,0,15135,0,0,0,15137,15138,0,0,0,0,0,0,15139,0,0,0,0,0,15140,0,0,15154, +15162,0,15169,15170,0,15175,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15177,0,15178,15179,0, +0,0,0,0,15183,0,0,0,0,0,0,0,0,0,0,0,0,15185,15187,0,15194,15195,15196,0,0,0,0,0, +0,0,15204,0,0,0,0,15206,0,0,0,0,0,15207,0,0,0,0,0,0,0,0,0,15213,0,15214,0,0,0,0, +0,0,0,15232,0,0,0,0,15234,0,15238,15240,0,15248,0,0,0,0,15250,15251,0,0,0,0,0,0, +0,15252,0,0,0,15255,15262,15266,0,0,0,15267,0,0,0,15277,15279,0,0,0,15280,15281, +15282,0,0,0,0,0,15285,0,0,0,0,15289,0,0,15291,0,0,0,0,0,0,0,15296,15297,0,0, +15304,0,0,0,0,15306,0,0,0,0,0,0,15307,15308,0,15309,0,0,15311,0,0,15312,15313,0, +0,0,0,0,0,0,0,0,0,0,0,15314,15317,0,0,0,15318,15319,0,0,0,0,15320,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,15321,0,0,0,0,0,15324,0,15325,15326,0,15330,0,0,0,0,15334,0, +15335,0,15341,0,0,15342,0,0,15343,15344,0,0,0,0,15345,0,0,0,0,15347,0,0,15348, +15349,15350,0,15356,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15357,0,15358,0,0,0,0,0,0,0, +15359,15360,15364,0,15380,0,0,0,0,0,15392,0,0,15393,0,15395,0,0,0,0,0,0,0,0, +15396,0,0,15397,15398,0,0,0,0,0,0,0,0,0,15399,0,15400,0,0,0,15402,0,15405,15410, +0,0,0,0,15411,0,0,0,15412,0,15416,0,0,0,0,0,0,0,15428,0,15435,0,0,15438,0,0,0,0, +15439,0,0,0,15440,0,0,0,15441,15449,15451,0,0,0,0,0,0,0,15452,0,0,15455,0,0,0, +15456,0,0,15458,0,15460,15461,0,0,0,0,0,15462,15464,0,15465,0,0,15466,0,0,15467, +0,0,0,0,0,15468,0,0,0,0,15481,0,0,15484,0,15485,15486,0,0,0,15487,0,0,0,0,0, +15488,0,15492,15498,0,0,0,15499,0,0,0,15500,0,15501,0,0,15512,0,15522,0,0,0, +15524,0,15525,15526,0,0,15527,0,0,15545,15546,0,15548,15552,0,15553,0,0,0,15554, +0,15555,0,15557,15565,15573,15577,15578,0,15582,0,15583,0,0,0,0,0,0,0,0,0,0,0,0, +0,15586,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15588,0,0,0,0,0,15589,0,0,0,0,0,0,0,15593, +15594,0,0,0,0,15595,0,0,0,0,0,0,15596,0,0,0,15597,0,0,0,0,15600,0,0,15601,0,0,0, +0,15602,15603,0,0,0,0,0,0,15604,0,15609,0,0,15612,0,0,15613,0,0,15615,15617, +15618,0,0,15620,0,15636,15637,0,0,15649,0,0,0,0,0,0,0,15650,0,0,15651,0,0,0, +15656,0,15658,0,0,0,15664,0,0,15665,0,0,15668,0,0,0,0,0,15669,0,0,15674,0,0, +15675,0,0,0,0,15676,0,0,0,0,0,0,0,0,0,0,0,15677,0,0,0,0,15678,0,0,0,0,0,15679,0, +0,15681,0,15686,0,0,0,0,15687,0,15688,0,0,15690,0,0,0,15697,0,15699,15700,0,0,0, +0,0,0,0,0,0,15701,0,15702,15703,0,15704,0,15705,0,15707,0,15709,0,15712,15716,0, +15717,0,15718,15720,0,0,0,0,0,15724,0,0,0,15725,0,15726,0,0,0,15740,0,15745, +15746,0,0,15747,0,15748,0,0,0,0,0,15749,0,0,0,15752,0,15753,0,0,0,0,0,0,15759,0, +0,0,15765,0,0,0,0,0,0,0,0,0,15767,0,0,0,15771,0,0,15784,0,0,0,0,15785,15790, +15791,0,0,15792,0,0,0,15807,0,15811,0,0,0,0,0,0,0,0,0,0,0,0,15818,0,0,0,15819,0, +0,0,0,15821,0,0,0,0,0,15822,15824,0,0,15827,0,0,15829,15831,0,15832,0,0,15833,0, +15835,15838,15839,15843,0,0,0,0,0,0,0,0,0,0,0,15844,0,0,0,0,15845,15851,15856,0, +0,0,0,0,0,0,15858,15860,0,15861,0,0,0,15864,0,0,0,0,15865,0,0,0,0,0,0,15866,0, +15872,0,0,15876,0,0,0,0,15877,15878,15883,15885,0,0,15888,0,0,0,0,0,15889,15890, +0,0,0,0,0,0,0,0,15892,0,0,0,0,0,0,0,15893,0,0,15894,0,0,0,15895,0,15896,15897,0, +15898,15901,15902,0,15911,15915,0,15916,0,15924,15935,0,15937,0,0,0,0,0,15950,0, +0,0,0,0,0,0,15958,0,0,0,15961,0,0,15966,0,15967,0,0,15977,0,0,15978,0,0,15981, +15982,15983,0,0,0,0,0,0,0,15986,0,0,0,15990,0,15991,15995,15998,0,15999,0,16000, +0,0,0,0,16008,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16009,16011,0,16013,0,0,0,0, +0,0,0,0,16014,0,0,16015,16023,16024,16025,0,0,16026,0,16030,0,16032,0,16033,0,0, +0,0,0,0,16035,16036,16037,0,0,0,0,0,16039,0,0,0,0,16041,0,0,0,0,0,16043,16044,0, +0,16047,0,0,0,16048,0,0,16049,16050,16052,0,0,0,0,0,16055,0,0,0,0,0,0,0,0,16056, +0,0,0,0,0,0,0,16058,16060,16061,0,0,16063,0,0,16064,0,0,0,16067,16068,0,0,16069, +16078,0,0,0,16079,0,0,0,16080,0,16081,0,0,0,16088,0,0,0,0,0,0,0,0,0,0,0,16089, +16093,0,16097,0,16103,0,16104,16105,0,0,16256,0,0,16259,0,0,0,0,0,0,0,16260, +16261,0,0,16262,0,0,16263,0,16268,0,0,0,0,0,0,0,16269,0,0,16270,16273,0,16274,0, +0,0,0,16275,16276,16277,16280,0,0,0,16281,16284,0,0,0,16286,0,16289,0,0,0,0,0,0, +0,0,0,16290,0,0,0,0,16291,0,0,0,0,0,0,0,16292,0,0,0,0,0,0,0,0,16293,16295,16297, +0,16302,0,16304,0,16305,0,16306,0,0,0,0,0,0,0,0,0,0,0,0,16307,16308,16312,0,0,0, +0,0,0,16313,16315,0,16318,0,0,0,16321,0,0,0,0,0,0,0,16326,16333,16336,0,0,0,0, +16337,16340,0,0,0,0,0,16345,0,0,16346,0,0,0,0,0,0,0,0,0,16347,0,0,16348,0,0,0,0, +16349,0,0,0,16350,0,16357,0,0,0,0,16359,16360,0,0,0,0,16362,16363,16364,16365,0, +0,16366,0,0,0,0,16367,16368,0,16369,16374,0,0,0,0,0,0,0,16376,0,0,0,0,16378, +16379,0,16380,0,0,0,16381,16383,0,0,0,0,0,16390,0,0,0,16399,0,16402,16404,16406, +16407,0,0,0,16409,16411,0,0,0,0,16412,0,16413,16415,16423,0,0,0,0,0,16424,0,0,0, +16428,16434,16435,16449,0,16450,16451,0,0,0,16453,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +16454,0,0,16456,16458,0,0,16459,0,0,16460,0,0,0,0,16462,0,16463,0,0,16466,0,0,0, +0,0,16479,0,0,16480,0,16481,16484,0,0,0,0,0,0,0,0,0,0,16485,0,0,0,0,0,0,16489,0, +0,0,0,0,16491,0,0,16498,0,0,16503,0,16505,0,0,0,0,0,0,0,0,16506,0,0,0,16508, +16509,0,0,0,0,0,0,0,0,16511,16513,0,0,0,16516,0,16517,0,16519,0,16529,0,0,16531, +0,0,0,0,0,0,16534,0,0,16541,16542,0,0,0,0,0,0,0,0,0,16543,16547,16548,0,0,0, +16551,0,16552,0,0,0,16553,0,0,16558,0,0,16562,16565,0,0,0,16570,0,0,0,16573, +16585,0,0,0,16586,16587,16595,0,16596,0,16598,0,0,0,16600,0,0,0,0,0,0,0,0,0,0,0, +0,0,16601,0,0,0,0,16603,0,0,0,0,0,0,0,16604,16612,0,0,0,0,16613,0,16618,0,0,0, +16640,0,0,16641,0,0,0,0,0,0,16645,0,0,0,0,16646,0,0,0,0,0,0,16651,0,0,0,0,16653, +16654,0,0,0,16655,0,0,16656,16667,0,0,0,0,16671,0,16672,0,0,0,16673,0,0,0,0,0, +16676,0,16686,0,0,0,0,16689,0,16690,0,16692,0,16693,0,16694,0,16696,0,0,0,16705, +0,0,0,0,0,0,16707,0,0,0,16709,0,0,0,0,16711,0,16712,16713,0,0,0,16715,0,0,0,0, +16716,0,0,0,0,0,0,0,0,0,16718,16724,0,0,16726,16727,0,0,0,0,0,0,0,16728,0,16729, +0,0,16730,0,0,0,0,0,16731,0,0,0,16732,0,0,0,0,16734,16738,0,0,0,0,0,0,0,0,16743, +0,0,16745,0,0,0,0,0,16749,0,16752,0,0,0,0,16756,0,0,16758,0,16759,0,0,0,0,0, +16760,0,0,0,0,0,0,0,16762,0,16769,0,16770,0,16772,0,0,0,16777,16780,0,0,0,0,0,0, +16781,0,0,16782,0,16784,0,0,16785,16787,16792,0,0,16794,0,0,0,16798,0,0,16809,0, +0,16814,16816,16817,0,16819,0,0,0,0,0,0,0,0,0,0,16820,0,0,16836,16839,0,0,16841, +16851,16857,0,0,16858,16859,0,0,16860,0,0,0,0,0,0,0,0,16862,0,16863,0,0,0,0,0,0, +0,16864,0,0,0,0,0,0,0,16876,0,16881,16882,0,16885,16886,0,16887,0,0,0,16889, +16891,0,0,0,0,0,16894,16895,0,0,0,0,0,0,0,0,0,0,0,16897,0,16898,0,0,0,0,0,16913, +0,0,16924,16925,16926,0,0,16927,0,0,0,16937,16938,0,0,0,16940,16941,0,0,0,16942, +16945,0,16946,16949,16950,0,0,0,16952,16955,0,0,0,16965,0,16969,0,0,16975,0,0, +16976,0,0,0,0,16978,0,0,16981,0,16983,16989,0,0,0,0,16990,0,0,16991,0,0,0,16993, +0,16994,16996,17000,0,0,0,0,0,17002,17004,0,17006,0,0,17007,0,0,0,0,17008,17013, +17014,0,0,0,0,0,0,0,0,0,17021,0,17031,0,0,0,0,0,17033,17036,0,17038,0,0,17039,0, +17045,0,0,17046,17047,0,0,0,0,17048,0,17049,17050,0,17051,17053,0,17054,0,17055, +0,0,0,0,0,17063,0,0,17064,0,0,0,0,0,0,0,17065,0,0,17068,0,0,0,0,0,17072,0,0,0,0, +0,0,17073,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17074,0,17080,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,17081,17083,17084,0,0,0,17085,0,0,0,0,17092,0,0,0,0,0,0,0, +0,0,17093,0,17095,17102,0,0,0,0,0,0,17103,0,0,17105,0,17107,0,0,0,0,17114,0,0,0, +0,0,17115,17125,17127,0,0,17128,0,0,0,17129,17130,0,17131,0,0,0,0,0,17132,17135, +17145,0,0,0,0,0,0,0,0,17146,0,17147,0,17148,0,0,0,0,0,0,17149,17150,0,17151, +17153,0,17155,0,0,0,0,17163,17171,0,17174,0,0,0,0,17179,0,0,17182,17185,0,0,0,0, +0,17186,0,0,17188,0,0,0,0,0,0,0,17189,17191,0,17194,0,0,0,0,0,0,0,0,0,17195, +17196,17203,17204,0,0,17205,17217,0,0,0,0,0,17218,0,0,0,0,17219,0,17220,0,17221, +0,0,17230,0,0,0,0,0,17236,0,17238,17239,0,0,0,17241,17244,0,0,17245,0,17248,0,0, +17251,0,17252,0,0,17264,0,17266,0,0,0,17268,0,0,0,0,17271,17272,0,17273,0,17295, +0,17302,0,17305,0,0,0,17306,0,0,0,0,0,0,0,17308,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +17309,0,17310,17313,0,0,0,0,17314,17315,0,17317,0,0,0,0,17318,0,0,0,0,0,0,0, +17320,0,0,0,0,0,0,17334,0,17344,17348,0,0,0,17350,17351,0,0,17353,0,0,17354,0,0, +0,0,0,0,0,0,0,17355,0,0,0,0,0,0,17356,17357,0,0,17359,0,0,0,17371,0,17372,0,0,0, +17393,0,0,0,0,17394,0,0,0,0,0,17395,0,0,17399,0,0,0,17401,17417,0,17418,0,17419, +0,0,0,0,0,17422,17423,0,0,0,0,0,17424,0,0,0,0,0,17428,17429,17433,0,0,0,17437,0, +0,17441,0,0,17442,0,0,17453,0,0,0,0,0,0,0,0,17454,17456,17462,0,0,17466,0,0, +17468,0,0,17469,0,0,0,0,17470,0,17475,0,0,0,0,0,17479,0,0,0,17483,17484,0,17485, +0,17486,0,17491,17492,0,0,17493,0,17494,17495,0,0,0,17496,0,0,0,17497,0,0,0, +17502,0,0,0,0,0,17503,0,17505,0,17507,0,0,0,17512,17513,17514,0,0,17515,0,0,0, +17519,0,0,0,17522,0,0,17523,0,0,0,0,0,0,0,0,0,17527,0,0,0,17528,0,0,0,17534,0,0, +0,0,17536,0,0,0,17539,0,17540,17543,17549,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17556, +0,0,17558,0,17559,0,0,17560,0,0,0,17563,0,0,0,0,0,0,17564,0,0,17565,17566,0, +17567,0,0,0,0,0,0,17569,17570,0,17575,0,0,0,0,0,0,0,0,0,0,0,17581,0,0,0,17582, +17583,0,17586,0,0,17587,0,0,0,0,0,0,0,17588,0,0,0,0,17596,17597,0,0,17598,17600, +0,0,0,0,0,0,17601,0,0,0,17604,0,0,17605,0,0,17607,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,17612,0,0,17618,0,17621,17622,0,0,0,0,17623,0,0,17624,0,0,17630,0,0, +17631,17633,17634,0,0,0,0,0,0,0,17635,0,0,17636,0,0,17637,0,17638,0,17640,0,0,0, +0,0,0,0,0,0,0,17641,0,0,0,0,0,0,0,0,0,0,17643,0,0,0,0,17645,0,0,0,0,0,0,0,0, +17646,17662,0,0,0,0,0,0,0,0,0,17663,17664,0,17665,17666,0,0,0,17669,17671,17673, +0,17679,0,0,0,0,0,0,0,17684,0,0,0,17686,0,17714,0,0,17720,17722,17726,0,0,17728, +0,0,17729,0,0,0,17732,0,17733,0,17734,0,0,0,17735,0,0,0,0,17737,0,0,0,0,17739,0, +0,0,17741,17742,0,0,0,0,17743,17744,17745,0,0,0,17749,0,17750,17751,17752,17754, +17761,17762,0,17763,0,17766,0,17772,0,0,0,0,0,17775,0,0,0,0,0,0,0,17776,0,0, +17777,0,0,17778,17779,0,17782,17783,0,0,0,0,0,0,0,0,0,0,17784,0,0,0,0,0,0,0, +17821,0,0,0,17822,0,0,0,17823,17825,0,0,0,0,0,17826,17831,17832,17833,0,0,17845, +0,0,0,17846,0,0,0,17848,17850,17854,0,17855,0,0,17859,0,0,0,0,0,0,17860,17861,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17870,17871,0,0,0,0,0,0,17872,0,0,0,17879,0, +0,0,17881,17883,0,17884,0,17885,0,0,17886,0,0,17887,17891,17953,0,0,0,0,17954,0, +0,17955,0,17968,0,0,17972,0,0,0,0,0,17974,0,0,0,0,17976,17978,0,0,17983,0,0,0,0, +18003,0,0,0,0,0,18007,0,0,0,0,0,18009,0,0,0,0,0,0,0,18010,0,0,0,0,0,0,18012,0,0, +18014,0,0,0,18015,0,0,0,18016,0,18017,0,0,0,18030,0,0,0,0,0,0,0,18031,0,0,18036, +18037,18038,0,0,18049,18056,0,18057,18058,0,18059,0,0,0,0,0,0,0,0,18062,0,0,0,0, +18064,0,0,0,0,0,0,0,0,18067,0,0,0,18068,0,0,18075,0,0,18078,18093,18094,0,0,0,0, +0,0,0,0,18097,0,0,0,0,0,18098,18100,0,0,0,18108,0,18111,0,0,18112,0,18113,0,0, +18115,18116,0,18118,0,0,0,0,18121,0,0,0,0,18123,0,0,0,0,0,0,0,0,0,18124,0,0,0,0, +18125,18126,0,18127,0,0,18128,18135,0,0,0,0,0,0,0,0,0,18150,0,0,0,0,0,18151, +18152,0,0,18156,18164,0,18166,18171,0,0,0,0,0,0,0,0,0,18172,18183,0,18184,0,0,0, +0,18185,0,18187,0,0,0,0,0,18188,0,0,0,0,0,0,0,0,18189,0,0,18190,0,0,18191,18192, +0,0,18194,18195,18196,0,0,0,18197,0,18203,0,18204,0,0,0,0,18205,0,0,0,18207, +18208,0,0,18214,0,0,0,18215,18216,0,0,0,18220,0,0,18222,0,0,0,0,0,18223,0,18225, +18231,0,18234,0,18235,0,0,0,0,18240,0,0,18241,18242,0,0,0,0,0,18243,18251,0, +18253,0,18254,0,0,0,18266,0,0,0,0,0,0,18269,18270,18271,18273,18281,0,0,0,0,0,0, +0,0,0,0,0,0,18282,0,18283,0,18284,0,0,0,0,0,0,18285,0,18287,18289,0,0,18290,0,0, +0,0,18308,0,0,0,18310,0,0,0,0,0,0,0,0,0,0,0,0,18311,0,18312,18313,0,18315,0,0, +18316,18320,0,18331,0,18332,0,18336,0,0,0,0,18337,0,18340,0,0,0,0,0,0,0,0,0, +18341,0,18344,18345,0,18346,0,0,0,0,0,18348,0,18351,0,0,18356,0,0,0,0,0,0,18357, +0,0,0,0,0,18367,0,0,0,18368,0,18369,0,18370,18371,0,0,0,18437,18444,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,18445,18450,0,0,0,0,18451,0,18452,0,0,0,18453,0,0,0,0,0,18455,0, +0,0,18456,0,18457,0,18460,0,0,18461,0,0,0,0,0,0,0,0,18466,0,0,18467,0,0,0,0, +18473,0,0,0,18476,0,18477,0,0,0,18478,18479,18480,0,0,0,18485,0,0,0,18486,0,0,0, +0,0,0,18488,18490,0,0,0,0,0,0,18491,0,0,0,0,0,18495,0,0,18496,0,0,0,0,0,0,18505, +0,18521,0,18522,18523,0,0,0,18525,18526,0,0,0,0,0,18527,0,0,0,0,18532,18533,0, +18534,0,0,0,0,0,0,18535,18537,0,18538,0,0,0,0,0,0,18540,18541,18542,18543,0, +18546,0,0,0,0,18553,18556,0,0,18558,0,0,18569,18571,0,0,0,18572,0,18574,0,0,0,0, +18586,0,0,0,0,0,18588,0,0,18589,0,0,0,0,0,0,18590,0,18592,0,0,0,0,18594,0,0,0, +18596,0,0,18597,18598,0,0,18601,0,0,0,0,18602,0,0,0,18603,18604,0,18605,0,0,0,0, +18608,0,0,18611,0,0,0,0,0,0,0,0,0,18612,0,18616,0,0,18617,18619,0,0,0,18628,0,0, +0,18629,0,0,18630,0,0,0,0,0,0,0,18631,0,18632,0,0,18635,18637,0,0,0,0,0,0,18641, +18643,18648,0,18652,0,0,18653,0,18655,18656,0,0,0,18657,0,0,18666,18674,0,0,0,0, +18677,18684,18685,0,0,18686,0,0,18690,0,0,0,0,0,0,0,18695,18696,0,0,0,0,0,0,0,0, +0,0,18697,0,0,18700,0,0,0,0,0,0,18702,0,18708,0,0,18709,0,18710,0,0,18711,0, +18714,0,0,18718,0,0,0,0,0,0,18719,0,0,18722,0,18726,0,0,0,0,0,0,0,0,0,0,0,0,0, +18731,0,0,0,0,0,18739,18741,0,0,18742,0,18743,18744,18746,18748,0,18752,18753,0, +0,18754,18763,0,18765,0,0,0,18766,0,0,0,18769,0,0,0,0,0,18773,18778,18779,18781, +0,0,18784,18787,0,18788,0,18793,0,0,0,0,0,0,18795,0,0,18800,0,0,0,0,0,18801, +18804,0,0,0,0,0,0,0,18806,0,0,0,18811,18815,18816,0,0,0,0,18825,0,0,18827,18829, +0,0,18830,0,0,0,0,18831,0,0,18832,0,0,0,0,18833,0,18840,0,18841,0,18842,0,0,0,0, +18843,0,18844,0,0,0,0,0,0,18845,18846,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +18848,0,0,0,18853,18860,0,0,18862,18866,0,0,18867,18869,0,0,18874,18881,18891,0, +0,0,0,0,0,0,0,0,0,18892,0,0,0,0,0,0,0,0,18895,0,18896,0,0,0,18900,0,0,0,18901,0, +18902,18915,18916,0,0,0,0,0,0,0,0,18919,0,0,0,0,0,18920,0,0,0,18921,18929,0,0,0, +0,18930,0,0,0,0,0,0,18932,0,0,0,0,18934,18942,0,0,0,18951,18957,0,0,0,0,18958,0, +0,0,0,18959,18960,0,0,18961,0,0,18962,0,0,0,0,18963,18964,0,0,0,18965,0,18967,0, +0,0,0,0,0,0,0,0,18968,0,18969,0,18970,18973,18976,0,0,0,0,0,0,18977,0,0,0,18981, +0,0,0,18990,0,18998,0,0,0,0,0,18999,19003,0,0,19005,0,0,0,19006,0,0,0,0,0,0, +19008,19011,0,0,19018,0,0,19019,0,19024,0,19031,19032,0,19039,0,19041,19050,0,0, +0,19051,19055,19056,0,19059,19063,19064,0,0,19088,0,0,0,19093,19094,0,0,0,0, +19095,0,19096,0,0,0,19097,0,0,19098,0,19099,19100,0,0,19103,0,0,0,0,0,0,0,19111, +0,0,0,0,0,0,19112,0,0,0,19116,19117,0,19121,19122,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,19123,19124,0,0,0,0,0,0,0,19125,19126,0,19128,0,0,0,0,0,0,0,0,0,0, +19129,19130,19131,19132,0,0,19146,0,0,19147,19156,19158,0,0,0,0,0,0,0,0,19182, +19185,0,0,19187,0,0,0,19193,0,0,0,0,0,19194,0,19197,0,0,0,0,19198,0,0,0,0,0,0,0, +0,0,0,19202,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19203,0,19205,19210, +0,0,0,19213,0,19218,0,0,0,19223,19229,0,0,19230,0,0,19231,19232,19233,19239,0,0, +0,0,0,19240,0,19248,19249,0,0,0,0,19254,0,19256,19258,19259,0,0,19261,0,19266,0, +0,0,19272,0,19278,19281,19282,0,0,0,0,0,0,0,0,0,0,0,0,19283,0,0,19284,0,0,19285, +19287,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19288,19291,0,19292,0,0,0,0,19297,0,19298,0,0, +0,0,19302,19303,0,0,0,0,19304,19305,0,0,0,0,19314,0,0,19315,0,0,19321,0,0,0,0,0, +0,0,19322,0,19333,0,19334,19335,0,19336,19337,0,0,0,0,0,0,0,0,0,0,0,19346,0,0, +19353,0,19354,19362,0,19366,19367,0,0,19369,0,19375,0,19377,19380,19388,0,0,0,0, +0,19389,19390,0,0,0,0,19392,0,0,0,0,0,19402,0,0,0,0,0,0,0,0,19412,0,0,19413, +19422,0,19424,0,0,0,19425,0,0,0,19428,0,0,0,0,19431,0,0,0,0,0,19432,0,0,0,0,0, +19448,19459,0,0,19461,0,19462,19463,0,19467,19474,19482,0,0,0,0,19494,0,0,0,0, +19501,0,0,0,0,0,0,0,0,0,0,19502,19504,0,0,0,0,0,0,0,19505,0,0,0,0,19506,19507,0, +0,0,19508,0,0,19511,0,0,19514,0,19515,0,19516,0,19518,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,19530,0,19537,19538,0,19543,19546,0,19547,19551,0,0,0,0,0,0,19552, +19553,0,0,0,0,0,0,0,0,0,0,0,0,19555,0,0,19556,0,0,0,0,0,0,0,0,0,0,0,0,19560, +19561,0,0,19562,0,0,0,0,0,0,19565,19567,0,19568,0,0,0,19569,19570,0,19578,0,0,0, +0,19580,0,0,0,0,19581,19584,0,0,0,0,0,0,0,19585,19586,0,0,0,19587,19588,0,19589, +0,0,0,0,0,0,19592,19593,19599,0,19600,0,0,19604,0,0,19605,0,19606,19608,19610,0, +19613,19614,0,0,0,0,0,0,19616,19617,0,0,19618,0,0,19619,0,0,0,19620,19621,19631, +0,0,19632,19634,19636,0,19643,0,0,19644,19658,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,19659,0,0,0,0,0,0,0,0,0,0,0,19675,19677,0,0,0,0,19679,0,19683,0,19684,0,0, +0,0,0,0,19687,0,0,0,0,0,0,0,0,19688,19689,19692,0,0,0,0,0,0,0,19695,19697,0,0,0, +0,0,19698,19699,0,0,19700,0,19702,0,0,19703,0,0,0,0,0,0,19704,19708,0,19710,0, +19713,0,0,0,19715,0,0,0,0,19718,0,0,0,0,0,0,0,19720,0,19722,0,0,19725,0,0,0,0,0, +0,0,0,0,0,0,0,0,19730,0,0,0,0,0,19731,0,19734,19735,19739,0,0,19740,0,19741,0,0, +0,19746,0,0,19747,0,19771,0,0,0,0,0,0,0,0,19772,19775,0,0,0,0,0,0,19778,0,0,0,0, +0,19779,0,0,19780,19790,0,19791,0,0,19792,0,0,0,19793,0,0,19796,19797,0,0,0, +19799,0,0,0,19801,0,0,0,0,19803,0,19804,0,19805,0,0,19807,0,0,0,19808,0,0,0,0,0, +0,19809,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19816,0,19821,0,19822,19830,19831,0,0, +0,19833,0,0,0,0,0,0,0,0,0,0,19838,0,0,0,0,19839,0,0,19843,0,0,0,0,19845,0,0,0,0, +19847,0,0,19848,0,19849,0,0,0,0,0,0,0,19851,0,0,0,19854,0,0,0,0,0,0,0,0,0,19864, +0,19865,0,19866,0,0,0,0,0,0,0,19868,0,0,19870,0,0,19871,0,0,19872,19873,19875,0, +19880,19882,19884,0,0,19885,19886,19888,0,0,0,0,0,0,0,0,0,0,0,0,19890,19892, +19893,0,0,19894,0,0,0,19895,0,19896,19902,0,0,19903,0,0,19905,0,0,0,19906,0, +19908,0,19909,19911,0,0,0,19913,19920,0,19938,19939,19940,0,0,0,0,0,0,0,19942,0, +19943,0,19945,0,0,0,19951,19952,19954,19960,0,19965,0,19971,0,0,0,0,0,19975,0, +19976,0,19990,0,0,19991,0,19993,0,19995,0,0,0,19998,19999,20001,0,20003,20005,0, +20011,20012,0,0,0,0,0,0,20014,0,20020,0,0,0,0,20021,0,0,0,0,0,20023,20024,0,0,0, +0,0,20025,0,0,20027,0,0,20029,0,0,20032,0,0,0,0,20044,20045,0,20048,20049,0,0, +20050,0,20052,0,0,20054,20057,0,0,0,0,0,0,0,0,0,20059,0,0,20061,0,20062,0,20064, +0,0,20066,0,0,20067,0,0,0,0,20069,0,0,0,0,0,0,20070,20071,0,0,0,0,0,0,0,0,0,0,0, +20072,0,0,20073,20074,0,0,0,0,0,20075,0,20078,0,0,0,0,20080,0,20081,0,0,0,0,0,0, +20095,0,20098,0,0,0,0,0,0,0,20107,0,0,0,0,0,0,0,0,20112,0,0,0,20113,20114,0,0,0, +20115,20123,20124,0,0,0,20131,20133,20134,0,0,0,0,20136,0,0,20137,20138,20150,0, +20152,0,0,0,20153,0,0,20154,0,0,0,20158,0,20163,0,0,20164,0,0,0,0,0,0,0,20166,0, +20168,0,20170,0,20175,0,0,20178,0,0,0,0,20223,0,0,0,0,20224,0,20226,0,0,20230,0, +20231,0,0,0,0,20232,0,0,20233,20234,0,20244,0,20247,0,0,0,0,0,0,20249,0,0,0, +20250,0,0,0,0,20251,0,20253,0,20254,0,0,0,0,20256,0,0,20264,0,0,0,0,20266,0,0,0, +20278,0,0,20279,20282,0,0,0,0,0,20283,0,20284,0,20285,0,20287,20290,0,0,0,0, +20292,0,0,0,0,20293,20297,0,0,0,0,0,0,20299,0,20300,20303,0,0,0,0,0,0,20307,0,0, +20308,0,20309,0,20310,0,0,0,0,0,0,20312,0,0,0,20314,0,0,0,0,20315,20316,0,20322, +0,0,0,0,0,0,20339,0,0,0,20342,0,0,0,0,20352,0,0,0,0,0,0,0,0,0,0,20362,0,0,20365, +0,20375,20377,0,0,0,0,0,0,0,0,0,0,0,20378,20379,0,20380,0,0,20381,0,20382,0, +20383,0,20388,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20390,20392,20393,0,0,20395,0,0,0,0,0, +20396,0,0,0,0,0,0,0,0,20398,20415,0,0,0,20417,0,0,20420,0,0,20426,20428,0,20431, +0,0,20432,0,20433,20434,20435,0,0,0,0,20440,0,0,0,0,0,20442,0,20443,0,20446,0,0, +0,0,20448,0,20451,0,0,0,0,0,0,0,0,0,20452,20453,0,0,20454,0,0,0,0,0,0,20457,0, +20458,0,0,0,20465,0,0,0,0,0,20469,0,0,0,20473,0,20476,0,0,0,0,0,0,0,0,20477,0,0, +20485,0,0,20486,0,0,20487,0,20496,0,20497,0,0,20498,0,0,0,0,0,0,0,0,0,0,20499, +20500,0,20501,0,0,0,0,0,20520,20527,0,20529,0,0,0,0,20539,0,0,20540,0,0,0,20543, +0,0,0,20546,0,0,0,0,0,20548,0,0,20563,0,0,20564,0,20566,0,0,0,0,0,20589,0,0,0,0, +20590,0,0,20593,20594,0,0,0,0,20595,0,20597,20598,0,0,0,20618,20620,0,0,0,0, +20621,0,0,0,0,20627,0,0,0,0,0,20628,0,0,0,20629,0,20630,0,0,20639,0,0,0,0,0, +20707,0,0,20709,0,0,0,20713,20714,0,0,0,0,0,20724,20725,0,0,0,0,20726,20728, +20729,0,20733,0,20734,0,20735,20736,0,20737,0,0,20744,0,20745,0,20748,0,0,20749, +0,0,0,0,0,0,0,0,20750,0,0,0,0,20754,0,0,0,20761,0,0,20763,0,0,0,0,0,0,0,20766,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,20767,0,0,0,0,20768,0,20769,20777,0,0,0,0,0,0,20785,0, +0,0,20786,20795,20801,0,20802,0,20807,0,0,20808,0,0,20810,0,0,20811,0,20812,0,0, +0,0,0,20813,0,0,20818,20820,20821,0,0,0,20822,0,20823,0,0,0,20826,0,0,0,0,0,0,0, +20829,20830,20831,0,20832,20836,0,0,20839,0,0,20840,20842,0,20843,0,20844,0, +20854,0,0,0,20855,0,0,0,0,20856,0,0,0,20869,0,0,20871,0,0,0,0,0,0,0,20873,0,0,0, +0,0,20876,0,0,0,0,0,20880,0,0,20882,0,0,0,0,20883,20884,0,0,20890,0,0,0,0,0,0,0, +0,0,20891,0,0,0,0,0,20905,0,20906,20910,0,0,20912,20915,0,0,0,0,0,20916,0,20917, +0,20919,20920,20922,0,20927,0,20928,20929,20930,0,0,20935,0,0,20939,0,0,20941,0, +0,0,20943,0,0,0,20946,20947,0,0,0,0,0,20950,0,20954,0,0,20955,20964,0,0,20967,0, +0,0,0,0,20973,20975,0,0,0,20984,0,20987,20988,0,0,0,0,0,20989,0,0,0,20995,0, +20998,0,20999,0,0,0,0,21000,21001,0,0,0,0,21008,0,21010,0,21016,0,0,0,21017, +21018,0,0,0,0,0,21021,21026,21027,21028,0,0,21029,0,0,0,0,0,21030,0,0,0,0,0,0,0, +0,0,0,0,0,0,21031,21032,0,0,0,0,0,21037,0,0,21038,0,0,0,0,0,0,0,0,0,21039,0, +21041,0,21046,21047,0,0,0,21049,21053,0,0,21057,21064,21065,0,0,21066,21067,0,0, +0,21069,0,0,0,21071,21072,0,0,21073,0,21074,0,0,21078,0,0,0,0,21079,0,0,21080, +21081,0,0,21086,21087,0,21089,0,0,0,0,0,0,0,21091,0,21093,0,21094,0,0,0,0,0,0,0, +0,21095,0,0,0,0,0,21096,0,21098,0,0,0,0,0,0,0,21099,0,0,21100,21101,21102,0,0,0, +0,0,21103,0,21104,0,0,0,0,0,21105,21108,21109,0,0,21112,21113,0,0,0,0,0,0,21115, +21122,21123,0,0,0,0,0,21125,0,0,0,0,0,0,0,0,21129,21131,0,0,21134,0,0,0,21137, +21142,0,21143,0,0,21144,0,21145,21146,0,21152,21154,21155,21156,0,0,0,21160,0,0, +0,0,0,0,21161,0,21164,0,21166,0,0,0,0,21170,0,0,0,0,21171,0,0,21172,0,21174,0, +21175,0,0,0,0,0,21176,21179,21188,0,0,0,21189,0,0,21190,0,0,0,21192,0,0,21193,0, +0,0,21198,0,21212,0,0,21213,0,0,0,0,0,0,21215,21216,0,0,21223,21225,0,21226,0,0, +0,0,21227,21228,0,0,21229,0,0,0,0,21230,21236,0,0,0,0,0,0,0,0,0,0,0,0,0,21237,0, +0,21238,21239,0,0,0,0,21256,0,0,0,0,0,21257,0,0,0,0,0,0,0,21259,0,0,0,21263,0, +21272,0,21274,0,21282,0,0,0,0,0,0,0,0,21283,0,0,0,0,0,0,0,0,21294,0,0,21297,0,0, +0,0,21298,0,0,0,21299,0,21300,21302,0,21316,0,21318,21322,21323,0,21324,0,21326, +0,0,0,21327,21328,0,0,0,21352,0,0,21354,21361,0,0,0,0,0,0,0,0,0,0,0,0,0,21362,0, +0,0,21363,0,0,0,0,0,0,0,0,0,21366,0,0,21367,21372,21374,0,0,0,21375,21377,0, +21378,0,0,0,21380,0,0,0,0,0,0,0,0,0,0,21381,0,0,0,0,0,0,21382,0,21383,0,0,21384, +0,0,21385,0,0,0,0,21389,21390,0,0,0,0,0,0,0,0,0,0,0,0,0,21397,21398,0,0,0,0,0,0, +0,0,0,0,21399,0,21400,0,0,0,0,21402,0,0,0,21403,21404,0,21405,21406,0,0,0,21407, +0,0,0,0,0,0,0,0,0,0,0,0,21408,0,0,0,0,21409,0,21421,0,21422,0,0,0,21425,21428,0, +0,0,0,21429,0,0,0,0,0,21433,0,0,0,0,0,0,0,0,0,0,21434,0,21443,0,21444,21449,0, +21452,0,21453,21454,0,0,0,21457,0,0,21458,0,0,0,21460,21461,0,0,21464,0,0,0, +21473,21478,0,0,21479,0,0,21481,21483,0,0,0,0,0,0,0,0,21484,0,0,21485,21486,0,0, +21488,0,0,0,0,0,0,21523,0,0,21525,0,0,0,0,0,0,0,21526,0,0,0,0,0,0,21529,21530,0, +0,21531,0,0,21533,0,0,21539,21564,0,21567,0,0,0,0,0,0,0,0,21575,0,0,0,0,21577,0, +0,0,0,0,21591,0,0,21604,0,0,0,0,0,0,0,0,0,21605,0,21606,0,0,21617,21618,21619, +21620,0,0,0,0,0,0,0,0,0,0,0,0,0,21623,0,0,0,0,21631,0,21635,0,0,0,0,21639,21646, +21653,21662,0,0,21663,21664,0,21666,0,0,21667,0,21670,21672,21673,0,21674,21683, +0,0,0,0,0,21684,0,21694,0,0,0,0,21695,21700,0,21703,0,21704,0,0,21709,0,0,0, +21710,0,0,0,0,0,0,0,0,21711,0,0,0,21712,0,21717,0,21730,0,0,0,21731,21733,0,0,0, +0,21737,21741,21742,0,21747,0,0,0,21749,0,0,0,0,0,0,0,0,0,0,0,0,0,21750,0,0,0,0, +0,21752,0,0,0,0,21753,0,0,0,0,0,0,21755,21756,0,21757,0,0,0,0,0,0,21760,0,0, +21763,0,0,0,0,0,0,0,0,0,21764,0,0,21766,0,0,21767,0,0,0,0,0,0,0,0,0,21773,0, +21774,0,0,21775,0,0,0,0,21776,0,0,21777,0,0,0,0,0,0,0,0,0,21780,21787,21788, +21791,0,0,0,21797,0,0,0,0,0,21805,0,0,0,0,21806,0,21807,21809,0,21810,21811,0, +21817,21819,21820,0,21823,0,21824,0,0,21825,0,0,21826,21832,0,0,0,0,0,21833, +21848,21849,0,0,21867,21870,21871,21873,0,0,0,21874,0,0,0,0,0,0,0,0,0,21875,0, +21878,0,0,0,21879,0,21881,21886,0,0,0,0,21887,0,0,21888,21894,21895,21897,0, +21901,0,21904,0,0,21906,0,0,0,21909,21910,21911,0,0,21912,0,0,21913,21914,21915, +0,21919,0,0,0,0,0,0,0,21921,0,0,21922,21933,21939,0,0,0,0,0,0,0,0,0,0,0,21944,0, +0,0,0,0,21945,0,21947,0,0,0,0,0,0,0,0,0,0,21949,0,0,0,21950,0,0,0,0,0,0,0,0,0,0, +0,0,0,21951,0,21952,0,0,0,0,0,0,0,0,0,21954,21957,0,0,0,0,21958,0,21959,0,0,0,0, +0,0,21962,21963,0,0,0,0,0,0,0,0,21964,21965,0,0,21969,21970,0,0,0,21974,0,0, +21980,21981,0,21982,0,0,0,0,0,21985,0,21988,0,21992,0,21999,0,0,0,0,0,0,22001,0, +22002,0,0,0,0,0,0,22003,0,0,0,0,0,22004,0,0,0,22008,0,22009,22015,0,0,22016,0,0, +0,22017,22019,0,0,0,0,0,0,0,0,0,22020,0,0,0,0,0,0,0,0,0,0,22021,22037,0,22039,0, +0,0,22040,0,0,0,22048,22049,0,0,22053,22055,22056,22059,0,0,22060,22061,0,0, +22064,0,0,0,0,22066,0,0,0,0,0,0,0,22073,0,0,0,22074,22075,0,0,0,0,0,0,0,22076,0, +0,0,0,22077,22084,22099,0,0,0,0,0,0,0,22104,0,0,22107,0,22108,0,22109,0,22110,0, +0,0,0,0,0,0,22111,22119,0,22120,22122,0,0,0,0,22125,0,0,0,22128,22129,0,0,0,0,0, +0,22141,0,0,0,22142,0,0,22144,22146,0,22148,22149,22151,22154,0,0,0,22162,0,0,0, +0,22164,22177,0,0,0,0,22179,0,22182,22183,0,0,22184,22188,0,0,0,0,0,0,0,0,22190, +0,22194,22201,0,0,22208,0,22209,0,22212,0,0,22215,0,22223,22231,0,0,22232,0, +22234,0,0,22235,22236,0,22237,0,22240,0,0,0,0,0,22241,0,0,0,22242,22246,22247,0, +0,0,22259,22268,0,22269,0,0,0,0,0,0,0,22270,0,0,0,0,22271,0,22272,0,22277,0,0,0, +0,0,22278,22280,22283,22286,0,0,22287,22289,0,0,22290,0,22293,0,0,0,0,0,0,0,0,0, +0,22295,0,22301,22302,0,0,0,22305,0,22308,0,0,0,0,0,0,0,0,0,0,22315,0,0,0,22317, +0,22334,0,0,0,22335,0,0,0,0,0,22336,0,22338,22344,0,22347,22349,0,22350,0,0,0,0, +0,0,0,22357,0,0,0,0,0,22358,0,0,0,0,0,0,0,0,0,0,22359,22360,0,0,0,0,0,0,0,0, +22361,22366,0,0,22369,0,22370,22373,0,0,0,0,0,22375,0,22377,0,0,0,0,0,22378,0,0, +0,0,22381,0,0,0,0,22382,0,22383,0,0,0,0,0,0,0,0,0,22391,0,0,22392,22395,22396, +22402,0,0,0,0,0,0,0,0,0,0,0,0,0,22405,0,0,22406,0,0,22408,0,0,22409,22410,0,0,0, +0,0,0,22424,0,0,0,0,22426,0,0,0,22427,0,22428,0,22432,0,22435,22442,22443,0,0,0, +0,22444,0,0,0,0,0,22446,0,22454,0,22455,0,0,0,22465,0,22470,0,22471,0,0,0,0, +22472,22473,0,22487,0,0,0,22488,0,0,0,0,22489,0,0,22499,0,0,0,0,0,0,22514,0,0, +22515,0,0,0,0,0,0,0,22516,0,0,0,22517,22520,0,0,0,22534,0,0,22535,0,0,22536,0, +22540,22553,0,22555,0,0,0,0,22561,0,0,22562,0,0,0,0,0,0,0,0,0,0,0,22566,0,0,0,0, +22567,22568,0,0,22575,0,22579,0,22582,22583,22585,0,0,0,0,0,22586,0,0,22587,0,0, +22590,0,0,0,0,0,22591,0,22592,0,0,0,0,0,22593,0,22602,0,0,22604,0,0,22609,0,0, +22618,0,0,0,0,0,0,22619,0,22624,22625,0,0,22638,0,0,0,0,0,22639,0,0,22640,0,0,0, +0,0,0,0,22644,0,22645,22647,0,0,0,0,22652,22653,0,0,0,22654,0,22655,0,0,0,22656, +0,0,0,0,0,0,0,0,0,0,22673,22675,22676,0,0,22678,22679,0,22691,0,0,0,0,0,0,0, +22693,0,0,22696,0,22699,22707,22708,0,0,0,0,0,0,0,0,22718,0,22719,0,0,0,0,22723, +0,0,0,22724,22725,0,0,0,0,0,0,0,0,0,0,0,0,0,0,22726,22728,0,0,0,0,0,0,0,0,22729, +0,0,22731,0,0,0,0,22732,22735,22736,0,0,0,0,22739,0,22749,0,0,22751,0,0,0,0,0,0, +0,0,0,0,0,22758,0,0,0,0,0,22760,0,0,0,0,0,22764,22765,22766,0,22768,0,0,0,0,0, +22769,22770,0,0,0,0,0,0,22771,0,0,22772,22775,0,22776,22777,22780,0,0,22782, +22784,0,22787,0,22789,22796,0,0,0,0,0,22798,0,0,0,0,0,0,22802,0,22803,22804,0,0, +0,0,0,0,0,0,0,0,22805,0,0,22810,22811,22814,22816,0,22825,22826,0,22831,22833,0, +0,0,0,0,0,0,0,0,22834,0,22836,22838,0,22839,0,0,0,0,0,22840,0,22847,0,0,0,0,0, +22856,22857,0,22858,22859,0,0,22862,0,0,22864,0,0,0,0,22865,0,0,0,0,0,0,0,0,0,0, +0,22866,0,22867,22868,0,0,0,0,22869,0,22871,0,22872,0,22873,22881,22882,22884, +22885,0,0,0,0,0,0,0,22886,22887,0,22894,0,22895,0,0,0,22900,0,22901,0,0,0,0, +22904,0,0,0,0,22905,22907,0,0,0,22915,22917,0,0,22918,0,0,0,22920,0,0,0,22929, +22930,0,0,0,22941,22942,0,0,0,22943,0,0,0,22944,0,0,0,0,0,0,0,22946,0,22947,0,0, +22954,0,22956,0,0,22962,0,0,0,0,0,0,0,22963,0,0,22964,0,0,0,0,0,0,0,22965,0, +22968,0,0,0,22969,0,0,0,0,0,22970,0,22971,0,0,0,0,0,22978,0,0,22979,0,22987,0,0, +22989,0,0,0,0,0,0,22990,0,23005,0,0,0,0,0,0,0,23006,23007,23008,0,0,23023,23024, +23029,0,0,0,0,23030,0,0,0,0,0,23032,0,0,0,0,0,23035,0,0,0,0,23038,0,0,0,23048,0, +23049,23052,23053,23060,23061,0,23063,0,0,0,0,23067,23068,0,0,0,23069,23073,0,0, +0,23127,0,23128,0,0,0,0,0,23129,0,23138,23141,0,23149,0,0,23150,0,0,0,23152,0,0, +0,0,0,0,0,0,23154,0,0,0,0,23157,23159,23160,0,0,0,0,0,0,0,0,0,0,0,0,23180,0,0,0, +0,23181,0,0,23188,0,23189,0,0,0,0,0,0,0,0,0,0,0,0,23195,0,0,23196,23199,0,0,0,0, +0,0,0,0,0,23202,0,23204,0,23207,0,23209,23210,0,0,0,0,0,0,23227,23229,0,0,23230, +23234,23238,0,0,0,23245,23246,23248,0,0,0,0,23249,23254,0,0,0,23265,0,0,0,0,0,0, +0,23268,0,23276,0,0,0,0,23277,0,23297,0,23298,0,0,0,0,23299,0,23302,0,0,23303, +23312,0,0,23314,0,23320,0,0,0,0,23324,0,23325,0,23328,0,23334,0,0,0,23337,0,0,0, +0,23343,23344,23346,0,23348,0,0,0,0,0,0,0,0,23353,0,0,0,0,23355,0,23356,23358,0, +0,0,23359,23360,0,23361,0,23367,0,23369,0,0,23373,0,23378,23379,0,23382,23383,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,23387,0,0,0,0,0,0,23388,23390,0,0,23393,23398,0,0,0, +23399,0,0,0,23400,0,0,0,0,23401,0,0,0,23415,0,0,0,0,0,0,0,0,23416,0,23422,0, +23443,23444,0,0,0,0,23448,0,23454,0,0,0,0,0,0,23456,0,0,23458,23464,0,0,0,0,0,0, +23465,0,0,0,23470,23471,0,0,23472,0,0,0,23473,23496,0,0,0,0,0,0,0,0,23497,0, +23499,0,0,23502,0,0,23503,0,0,23513,0,0,23515,0,0,0,23517,0,0,0,0,23518,23519, +23521,23524,0,23525,23528,23539,0,0,0,0,0,23541,0,0,23544,0,0,23556,0,0,23557,0, +0,0,0,0,0,0,0,0,0,0,0,0,23559,0,23560,0,0,23561,0,0,23566,0,0,0,0,0,23568,23569, +23570,0,0,0,0,23571,0,23574,0,0,0,0,0,0,0,0,0,0,0,23575,0,23579,0,0,23581,0,0,0, +0,0,0,23587,0,0,0,0,0,0,0,23596,23598,0,0,0,0,23602,23606,0,0,23607,0,23608,0,0, +0,23614,23616,0,0,0,0,0,23618,0,0,23619,0,0,0,0,23621,23626,0,23627,0,0,0,0,0,0, +0,23629,0,23630,0,0,0,0,23634,0,23636,0,0,0,0,0,0,23638,0,0,0,0,23640,23667,0, +23669,0,0,0,23681,0,0,0,0,0,0,0,23682,0,23683,0,0,0,0,0,23684,0,0,0,23685,23689, +0,23693,23694,23700,0,23702,0,23709,0,0,0,0,0,0,0,23712,0,0,0,0,0,23714,0,0, +23715,0,0,0,0,23718,0,0,23720,0,0,0,0,23722,0,0,0,23726,23729,0,23741,23746,0, +23748,0,0,0,0,23749,0,0,0,0,0,23750,0,0,0,0,23751,0,23753,0,0,0,0,23757,23765,0, +0,0,23770,0,0,0,0,0,0,0,23771,0,23772,23781,0,0,23796,0,0,0,0,23798,0,23799,0,0, +0,23802,0,0,23806,0,23807,0,0,23808,0,23809,0,23819,0,0,0,23821,0,23827,0,0,0, +23829,0,0,0,0,0,0,0,23830,0,0,0,0,0,0,23832,23833,23834,23835,0,0,0,0,23837, +23838,0,0,0,0,0,23846,0,0,0,0,0,0,23847,0,0,0,0,0,23879,23881,0,0,23882,23883, +23895,0,23899,0,0,0,0,23901,0,0,0,0,0,0,23902,0,0,0,0,0,23903,23905,0,23906,0, +23907,23918,23919,23920,0,23922,0,23924,0,23927,0,23934,0,23937,23941,0,23942, +23946,0,0,0,0,0,23955,23956,23958,0,0,0,0,0,0,23959,0,23962,23965,0,23966,0,0,0, +0,23967,23968,0,0,23973,0,0,23974,0,0,0,0,23975,0,23976,0,0,0,0,0,0,0,0,0,0,0,0, +0,23977,0,0,0,0,0,0,0,0,23980,0,0,23984,0,23985,0,0,23987,0,0,23988,23990,23991, +0,0,0,0,0,0,23992,0,0,0,0,0,0,0,0,23994,0,0,0,23998,0,0,0,0,0,0,0,0,0,23999,0,0, +24003,0,24004,0,24006,0,0,0,24007,0,0,24008,0,0,0,0,0,0,0,24009,0,0,24010,0,0, +24011,0,0,24013,24014,0,0,24015,24016,24027,0,24028,24029,0,24030,0,0,0,0,0, +24033,24034,0,24035,0,0,24036,0,0,24044,0,24048,24049,24063,24067,0,24068,24070, +0,0,24071,24078,24087,0,24090,0,0,0,24095,0,24098,24101,24104,24106,0,24107,0,0, +0,24108,0,0,0,0,24110,24111,0,24113,0,0,24115,24120,0,0,0,0,0,0,24124,0,24125,0, +24126,0,24127,0,0,0,0,0,24135,0,0,24136,0,24137,24142,0,0,0,24146,0,0,24147, +24149,24154,0,24163,0,0,0,24165,24166,24167,0,0,0,0,0,0,0,0,0,0,24169,24170, +24175,0,0,0,24178,0,0,24179,0,0,24181,0,24184,24197,0,24201,24204,0,0,0,0,0,0, +24206,24212,24220,0,0,0,24224,0,0,0,0,0,0,0,0,24226,0,24234,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,24235,0,24236,0,0,0,0,0,24239,24240,24241,0,0,24248,0,0,24249,0, +24251,0,0,0,0,0,0,24253,0,24268,0,0,0,24269,0,24271,24272,0,0,0,0,24273,0,0, +24274,0,0,24279,0,0,0,0,0,0,0,24280,0,24293,24294,0,0,0,0,0,0,24296,0,0,24323,0, +0,0,24329,24330,24331,24339,0,24351,0,0,24369,24370,0,0,0,24371,0,0,0,0,24372, +24373,24374,0,0,0,0,0,24378,0,0,0,0,24379,0,24381,0,24383,24389,0,24390,0,0, +24394,24395,24400,0,0,0,24401,24402,0,24406,0,0,0,24411,0,0,0,24415,0,24416,0,0, +0,0,0,24417,0,24419,0,24422,0,24423,24428,0,24435,0,0,0,24439,0,0,0,24440,24442, +24446,0,0,0,24447,24448,24449,24452,0,0,0,0,24453,24457,0,0,24458,24459,24460,0, +24465,0,0,0,0,0,0,0,24470,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24471,0,24473, +24474,24475,24476,0,24478,0,0,0,0,24480,0,0,0,0,0,0,0,0,0,0,24481,0,0,0,0,0,0,0, +0,0,0,24482,24485,0,0,0,0,24486,0,0,0,24488,0,0,0,24494,0,0,0,0,24497,0,0,24498, +0,0,0,24499,24506,0,0,0,24507,0,0,24511,0,0,24513,24514,0,0,0,0,0,24517,0,24518, +0,24520,0,24521,24524,24525,0,0,0,0,0,24527,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24528,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24537,24539,0,24540,0,0,0,24548,0,0,0,0,0,24549, +24550,0,0,0,24553,24554,0,24555,0,24556,0,24558,0,0,0,0,0,24560,0,0,0,24561,0,0, +0,0,0,24562,0,0,0,0,0,0,0,0,0,0,0,0,0,24567,0,0,0,0,0,24569,0,0,0,24574,0,24575, +0,0,0,0,0,0,0,0,0,0,0,24577,24581,0,24584,0,0,0,0,0,24585,0,0,0,0,0,24586,0,0, +24587,0,24588,0,0,0,0,0,0,0,0,0,0,24590,24591,0,0,0,0,24592,0,0,0,0,0,0,0,24594, +0,0,0,0,0,0,0,24596,24597,0,0,0,0,24602,24603,0,0,0,0,24604,0,0,24605,0,24610,0, +0,24611,0,0,0,0,24612,24615,24616,24624,0,0,0,24627,0,24638,24639,0,0,0,0,24640, +0,0,0,24655,24656,24657,0,0,0,0,0,0,0,0,24662,0,24663,24664,0,0,0,0,0,24665,0,0, +0,0,24667,0,0,0,0,0,0,24668,24669,0,24670,24674,0,0,0,24675,0,24678,0,0,24679,0, +0,0,24681,0,24683,0,0,0,0,24684,0,24685,0,0,24686,0,0,24688,24689,0,0,0,0,24690, +24691,0,0,0,0,0,0,0,24697,0,24698,0,0,0,0,0,0,0,0,24709,0,0,0,0,0,24710,0,24712, +0,0,0,0,0,0,24713,24714,0,24715,0,24716,24718,0,24719,0,0,0,0,24720,0,0,24725,0, +0,24738,0,24749,24750,0,0,0,24752,0,0,0,24753,0,0,0,24758,0,0,0,0,0,24762,0, +24763,0,0,0,0,0,0,0,24764,0,0,0,0,0,24765,24767,24768,0,24772,0,0,0,0,24773,0,0, +0,0,24777,0,0,0,0,0,24785,0,24786,24788,0,0,0,24789,0,0,0,0,24794,24798,0,24799, +24800,0,0,0,24803,0,24804,24806,0,24807,0,0,0,24810,0,0,0,0,0,0,24827,24828,0, +24835,0,0,0,0,0,0,24836,0,0,0,0,0,24839,0,24843,24844,0,0,0,0,0,0,0,0,0,0,24847, +0,0,24848,0,0,0,0,0,0,24849,0,24850,24851,0,0,0,24852,0,24853,0,0,0,0,0,0,0,0,0, +24854,0,24855,0,0,24868,0,0,0,24883,0,0,0,24884,0,24895,24897,0,0,0,0,0,24899,0, +0,0,0,0,24900,0,24913,0,0,0,0,0,0,24914,0,0,24917,24930,24931,0,0,0,24932,0,0, +24939,0,0,24942,0,0,0,0,0,0,0,0,0,24945,24950,0,24951,0,0,24953,0,0,0,24954,0, +24959,0,0,0,24961,0,0,24962,0,24964,24968,24970,24972,0,0,0,0,0,24976,0,0,0, +24977,0,24982,0,0,24983,0,0,24984,0,0,0,24993,0,0,0,24994,0,0,25001,0,0,0,25003, +0,0,25018,0,0,25023,0,0,0,25034,0,0,25035,25036,0,25037,0,0,0,0,0,0,0,25039,0,0, +0,0,0,25040,0,0,0,0,0,0,0,25042,0,0,25043,25045,0,0,0,0,0,0,25049,0,0,25051,0, +25052,25053,0,0,25054,0,0,0,25055,0,0,0,0,25057,25059,0,0,25060,25064,0,25065, +25069,25070,0,0,0,0,25072,0,25073,0,25090,0,0,25092,25093,25101,0,0,0,0,0,0, +25105,25108,0,0,25113,0,0,25115,25116,0,0,0,0,0,0,25117,0,0,0,25120,25121,0,0,0, +0,0,0,0,25125,0,0,0,25126,0,25130,25134,0,25139,0,25143,0,0,0,25151,0,25161,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,25163,0,0,0,0,0,0,0,25174,0,25175,0,25207,0,0, +0,25209,0,0,0,0,25213,0,25219,0,25223,0,25225,0,0,0,25227,0,0,0,25228,0,0,0, +25229,0,0,0,0,0,0,0,25231,25233,0,0,0,0,25237,25239,0,0,0,25243,0,0,0,25252,0, +25257,25258,0,0,0,0,25260,25265,0,25268,0,0,25273,25324,0,25325,0,25326,0,0,0,0, +0,0,0,0,25327,0,0,0,0,0,25328,0,0,0,0,0,0,25332,0,0,0,25333,0,0,0,25336,25337, +25338,0,0,25343,0,25350,0,0,0,0,0,0,0,25352,0,25354,0,25375,0,25379,0,0,0,0, +25384,0,0,0,0,0,0,0,0,0,25386,0,25388,0,25390,0,0,25399,0,0,25401,0,0,0,25402,0, +0,0,25407,0,0,0,0,0,0,0,0,0,0,0,25413,25415,0,0,25417,0,0,0,0,0,0,0,25419,0,0,0, +25421,0,0,0,25424,0,0,0,0,25433,0,0,0,0,0,0,0,0,0,25435,0,0,0,0,0,0,25436,0,0,0, +25437,0,0,25440,0,0,0,0,0,0,25442,0,0,25443,0,25446,0,0,25449,0,0,0,25450,0,0,0, +0,25452,0,25453,25454,25455,0,0,0,25456,0,25457,0,0,0,25459,0,25461,0,25468,0,0, +0,0,0,0,0,0,25469,0,0,0,0,0,25471,0,0,0,0,0,25474,0,0,0,0,0,0,0,0,25475,0,0,0,0, +25477,0,0,0,0,25483,0,0,0,0,0,25484,0,0,0,0,0,0,0,0,0,0,0,0,25485,0,25497,0,0, +25498,0,25504,0,25510,0,25512,0,0,25513,25514,0,0,0,0,0,0,25517,25518,25519,0, +25520,0,0,0,0,0,0,0,25521,0,25522,25527,25534,0,25536,0,25537,0,0,25548,25550,0, +0,25551,0,25552,0,0,0,0,0,25554,0,25555,0,25556,25557,25568,0,0,0,25570,25571,0, +0,0,0,0,0,25574,0,0,0,0,25579,0,0,0,25581,0,0,0,25582,0,0,0,0,0,0,0,0,0,25588,0, +0,0,0,25589,0,0,0,0,25590,0,25591,25592,25593,0,25594,0,0,0,25596,0,25597,25615, +0,0,0,0,0,25618,0,0,0,0,25619,25623,0,0,25629,0,0,25631,0,0,0,25635,25636,0,0, +25649,0,0,0,0,25654,0,0,0,25661,25663,0,0,25671,0,0,25678,25698,0,25699,25702, +25703,0,0,0,0,0,0,0,0,25704,0,0,0,0,0,25706,0,0,25710,0,25711,0,25712,0,25715, +25716,25717,0,0,25718,25728,25732,0,0,0,25734,0,0,0,0,0,0,0,0,0,25737,0,0,25739, +0,0,0,25740,0,25741,25745,0,25746,0,25748,25772,25778,0,0,0,0,0,25780,0,0,0,0, +25781,0,25782,25784,25785,0,0,0,25789,0,0,0,0,0,0,25797,25801,0,0,0,25808,25809, +0,0,25811,25814,25815,0,0,25817,0,0,0,0,0,0,0,0,25820,0,0,0,0,25832,25833,0,0,0, +25846,0,0,0,25847,25848,0,0,0,0,0,0,0,0,0,25849,25850,0,0,25851,0,0,25852,0, +25862,0,0,0,25863,25865,0,0,0,0,0,0,0,25867,25868,0,25869,25874,0,25875,0,25876, +25877,0,0,0,0,25878,25902,0,0,0,0,0,0,0,25903,25904,25905,0,0,0,25908,25909,0,0, +0,0,25910,0,0,0,0,0,0,0,25912,0,25913,0,0,0,0,0,0,0,0,25914,0,0,25916,0,0,0,0,0, +25917,25927,0,0,0,0,25928,0,0,25930,0,0,0,25933,0,0,25938,25942,0,0,0,0,0,0,0, +25945,0,25950,0,25956,0,0,25961,25962,0,0,25963,0,25964,25965,25966,0,0,0,0,0, +25967,0,0,0,0,25968,0,0,0,25969,25971,0,0,0,0,0,25973,25975,0,0,0,0,0,0,0,25978, +0,25981,0,0,0,25982,0,0,0,25984,0,0,0,0,0,0,0,25993,0,0,0,0,0,0,0,0,0,0,0,0,0, +26002,0,0,0,26005,0,0,0,26006,26007,0,0,26014,26015,26016,0,0,0,0,0,0,26017, +26018,26020,0,26022,26023,0,0,0,26024,26028,0,26029,26033,26034,26044,0,0,0,0,0, +26046,0,0,26047,0,0,26049,0,26050,0,26051,0,0,0,0,0,26053,0,0,0,0,26054,26059,0, +0,0,0,0,0,26060,0,26066,0,0,0,0,0,0,0,0,0,0,0,0,26067,0,26069,0,0,26071,0,0,0, +26073,0,26074,26077,0,0,0,0,26078,0,0,0,26079,0,26090,0,0,26094,0,0,0,0,0,0,0,0, +26095,0,0,0,0,0,0,0,0,0,0,0,26096,26101,0,26107,26122,0,26124,0,0,26125,0,0,0,0, +0,0,26136,26141,26155,0,0,0,0,0,0,0,0,0,26164,26166,0,0,0,26167,0,26170,26171,0, +0,26172,0,0,26174,0,0,0,0,0,0,0,0,0,0,0,0,0,26175,0,0,0,26176,26177,0,26321, +26322,0,26323,0,0,26324,0,0,0,0,0,0,0,26325,0,26331,0,0,0,0,0,0,26335,0,0,0, +26350,0,0,0,26379,0,0,26382,26383,26385,0,0,26392,26406,0,0,0,0,26411,0,0,0,0,0, +26412,0,0,26420,0,0,26423,0,26424,26426,26432,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +26435,0,26436,0,0,0,0,0,26441,0,26444,0,0,0,26446,0,0,0,0,26447,0,0,0,0,26449,0, +26450,26452,0,26453,26454,0,0,0,26455,0,0,0,26456,0,0,26458,0,0,26460,0,26463,0, +0,0,0,0,0,0,0,26464,26470,0,0,0,0,0,0,0,0,0,26473,0,0,26474,0,0,0,0,0,0,0,26475, +0,0,0,0,0,0,0,26477,0,26485,0,0,26486,0,26487,0,0,26488,26493,26494,0,0,26495,0, +26497,26504,26506,0,0,0,0,0,26507,0,0,0,0,0,26509,0,0,26510,0,0,0,0,0,0,0,0,0,0, +0,0,0,26512,0,26513,26515,0,0,0,26518,0,0,0,26519,0,26524,26526,0,0,0,26527,0, +26532,0,26533,26537,26558,0,0,0,26559,0,0,0,26571,0,0,26573,0,26588,0,26593,0,0, +0,0,0,0,26603,0,26604,0,0,0,0,0,0,0,0,0,0,26606,0,0,0,0,0,0,0,26607,26609,26611, +26614,0,0,0,26616,26620,0,26621,0,0,0,0,0,26627,0,26629,0,0,26630,0,0,26632, +26643,0,0,0,26644,0,0,0,0,0,0,0,0,0,26646,26647,0,0,0,26650,0,0,26656,0,0,0,0, +26663,26670,26671,0,0,0,26685,26686,26687,0,26689,0,0,0,0,26744,0,26745,0,26747, +26748,0,26749,26750,26751,0,0,0,0,26752,26755,0,0,0,26756,26769,0,0,0,26774,0,0, +0,0,0,26775,0,26777,26778,0,26786,0,0,0,26787,0,0,0,0,0,0,0,0,0,0,0,0,0,26788,0, +0,26789,0,0,0,0,0,26791,0,26792,26793,0,0,0,26794,0,26797,26798,0,0,0,26800,0,0, +26803,0,26804,0,0,0,0,0,0,0,0,0,26805,0,0,26808,0,0,26809,0,0,0,0,0,0,0,26812,0, +26825,0,0,0,0,0,0,0,26826,0,0,26827,26829,26834,0,0,0,0,26835,0,0,26849,0,26851, +0,0,0,0,0,0,0,0,0,26852,0,26853,26857,0,26858,0,26859,0,0,0,0,0,0,0,26876,0, +26878,26882,26883,0,0,0,0,26890,26894,0,0,0,0,26895,26896,0,0,0,0,0,26900,0,0,0, +0,0,0,0,26911,26913,26914,26915,26916,26919,0,0,0,26921,26922,0,0,26925,0,0,0, +26928,0,0,26929,26930,0,0,0,26931,0,26932,0,0,0,0,0,26933,0,0,0,0,0,0,26937,0,0, +26943,0,0,26944,0,0,0,26946,0,0,0,0,0,0,0,26956,0,26958,0,0,26963,0,0,0,0,0,0,0, +26965,0,26969,26970,26972,0,0,0,0,0,26973,0,26974,0,26978,0,26980,0,0,0,0,0,0, +26982,0,26986,26987,0,26990,0,0,0,0,27003,27006,0,0,27007,27010,27012,27013,0,0, +0,0,0,0,0,0,27014,27015,27018,0,27019,0,0,0,0,0,27025,0,0,0,27026,0,0,0,0,27029, +27030,27031,27034,0,0,27036,27037,0,0,0,27038,27042,0,0,0,27044,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,27045,0,0,0,0,0,0,0,27046,0,0,0,0,0,0,0,27047,27049,0,27050,0,0,0, +27051,27052,0,27055,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,27056,27058,27059,0, +27061,0,27064,0,0,0,0,0,27069,0,0,27070,0,0,0,0,0,0,0,27072,0,0,0,0,0,0,0,0, +27076,0,0,0,0,0,27078,0,27079,0,0,0,27081,0,0,0,0,0,0,27082,0,27083,27086,0,0,0, +0,27087,0,0,0,0,0,27088,27090,0,27094,0,0,27095,0,27099,27102,0,0,0,27103,0,0,0, +0,27105,0,0,0,27106,0,0,0,0,0,0,27107,0,0,0,0,27108,27117,0,0,0,0,27118,0,0, +27124,0,27126,0,0,27130,27131,0,0,0,0,0,0,27147,0,0,0,0,27148,27149,0,0,0,0, +27150,27151,0,27152,0,27159,0,0,0,27164,0,0,0,0,0,0,0,27175,0,27189,0,0,27191,0, +27193,0,27195,0,27198,0,0,0,0,0,27200,0,0,0,0,27202,0,0,0,0,27203,0,0,27204,0,0, +27206,0,27207,0,0,0,0,27209,0,0,0,27213,0,0,27216,27219,27220,27222,27223,0, +27224,0,27225,27226,0,0,27233,0,0,0,0,27235,0,27237,0,27238,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,27239,0,27242,27243,0,27250,0,0,0,27251,0,27253,0,0,0,0,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,27254,27255,27258,0,0,0,27259,0,0,0,0,0,0,27267,0,27276,27278, +0,0,0,0,0,0,0,0,0,27296,27297,27301,0,0,0,0,0,0,27302,0,0,0,0,0,0,27312,27313,0, +0,0,0,0,27318,0,27320,0,27329,0,27330,27331,0,27332,0,0,0,0,27340,0,0,0,27348,0, +0,0,0,0,0,27350,0,27351,0,0,0,0,27355,0,0,27358,27359,27361,0,0,0,27365,0,27367, +0,27376,27378,0,0,27379,0,0,0,0,0,0,27396,0,27397,27404,0,0,0,0,0,27408,0,0,0,0, +27453,0,0,0,27456,0,0,0,27458,0,0,0,0,0,0,0,27459,0,0,0,27460,0,0,27461,0,27465, +27467,0,0,27469,0,27470,0,27471,0,27477,27482,0,0,0,0,0,0,27484,0,0,0,0,0,0, +27485,0,0,0,0,0,27493,0,27494,27502,0,0,0,0,0,0,0,0,0,0,0,0,27511,27532,0,0,0, +27533,27545,0,0,0,27546,0,0,0,0,0,0,0,0,0,0,27547,0,0,27549,27550,0,27551,0,0,0, +0,0,0,0,27555,0,0,27571,0,27573,27574,27575,27577,0,27578,0,0,27579,27585,0,0,0, +0,0,27586,0,0,27588,27589,0,0,0,0,27596,0,0,27600,0,0,0,0,0,0,0,0,0,0,0,27608,0, +0,0,0,0,0,0,0,0,0,0,27610,0,0,0,27618,0,0,27620,0,0,0,27631,0,0,27632,27634,0, +27636,27638,0,0,0,27643,0,27644,27649,0,0,0,0,0,0,0,0,0,0,0,0,0,27651,27660,0, +27661,0,0,0,0,0,0,0,27662,0,0,27664,0,27665,0,0,0,27669,0,27671,0,0,0,27673, +27674,0,0,0,27682,0,0,0,27711,0,27712,27713,27719,27720,0,0,27728,0,27729,0,0,0, +0,0,0,0,0,0,27731,0,0,27732,0,27733,0,27738,0,0,0,27742,0,0,0,27743,27744,0,0,0, +0,0,0,27745,27746,0,0,0,27747,27748,27751,27752,0,0,0,27768,27770,0,0,0,27774, +27775,0,27776,27777,0,0,27781,0,27784,0,27786,0,0,27791,0,27792,27793,27804,0, +27812,27813,0,0,0,0,0,0,0,0,27814,0,27825,0,27827,0,0,0,0,27828,27861,27862,0,0, +0,27864,0,0,0,27865,27884,0,27889,0,0,0,0,0,27890,0,27891,0,0,0,27892,0,0,0,0,0, +27897,27898,0,0,27899,0,0,0,27901,27905,0,0,27920,0,0,27921,0,27922,0,0,0,27931, +27934,0,0,0,0,0,0,0,0,0,0,27941,0,27942,0,27945,0,27947,27954,0,0,0,0,27960, +27963,0,0,0,0,0,0,0,0,27964,27965,0,0,0,27967,0,27969,27975,0,27976,27977,0, +27981,0,27983,28051,28052,0,0,0,0,0,28056,0,0,0,0,0,0,28058,28059,0,0,28061,0,0, +0,0,0,0,0,28063,0,0,0,0,0,0,28066,0,0,0,0,0,0,28069,28070,28072,0,28073,0,0, +28074,0,0,0,0,28075,0,0,0,0,0,0,0,28078,0,0,0,0,28085,0,0,0,0,28086,0,0,0,0,0,0, +28088,0,0,0,0,0,0,0,0,28090,0,28097,28114,28115,0,0,0,0,0,0,0,28116,0,0,0,0,0, +28118,0,28129,0,28131,0,0,28135,0,0,0,28140,28141,0,0,0,28146,0,0,0,0,28152,0,0, +0,0,28155,28157,28161,0,0,0,0,28166,0,28167,0,0,0,0,0,0,0,0,0,0,0,28172,0,0,0,0, +0,0,28173,0,0,28175,0,0,0,0,0,0,0,0,0,28178,28188,0,28190,0,0,0,0,0,28191,0, +28193,28206,0,0,28207,28209,0,28211,0,28213,0,0,0,28215,28216,28217,0,28222,0, +28223,28225,0,0,0,28226,0,28227,28229,28232,0,0,0,0,0,0,0,0,0,28235,0,28241,0,0, +28242,0,0,0,0,28243,0,0,0,28245,0,0,0,28248,28250,0,28251,28252,0,0,0,0,0,0, +28253,0,0,28254,28255,0,0,28256,0,0,28258,0,0,0,0,0,28259,0,0,28260,0,0,28261,0, +0,0,0,28262,28263,0,0,28264,0,0,0,28266,0,28268,28269,0,28270,28272,28274,0, +28277,28278,0,0,0,28279,0,28280,28281,28283,0,28292,0,28294,0,28297,0,0,0,0, +28299,0,0,0,0,0,28300,0,0,0,0,0,0,0,28301,0,0,0,0,0,0,0,0,0,0,0,0,0,28302,28303, +0,0,0,0,28304,0,0,28305,0,28312,0,28313,28314,0,0,0,0,0,0,28315,0,0,0,28320, +28321,0,0,28328,0,0,0,28329,28338,0,28339,0,0,28344,0,0,0,0,0,0,0,0,28347,0,0,0, +0,0,0,0,0,28348,0,0,0,0,0,28411,0,28412,28413,0,28416,0,0,0,28420,0,0,0,0,0, +28421,0,0,0,0,28423,0,0,0,28424,0,0,28428,0,0,0,0,0,28429,0,0,0,28431,28434,0, +28458,0,0,0,0,0,0,0,0,0,0,0,28464,0,0,0,0,28465,0,28467,0,0,0,0,0,0,28471,0,0,0, +0,28474,0,28480,0,28481,0,0,28485,0,0,0,0,28486,28488,0,0,28489,0,0,0,0,28492,0, +0,0,28495,0,28497,0,28499,0,0,0,0,28500,0,0,28502,28503,0,0,0,28508,0,0,0,28510, +0,0,28512,28513,28514,28521,0,28526,0,28527,28528,0,0,0,0,28529,0,0,28532,0,0, +28537,28538,0,0,0,28539,0,28548,0,28553,28554,0,0,0,0,0,0,0,0,0,0,0,0,28560, +28563,0,0,28564,0,0,0,0,28565,0,0,0,0,0,0,0,28566,28568,0,0,0,0,0,0,28569,0,0,0, +28570,0,28572,28573,0,0,0,0,28575,0,0,0,0,28576,28581,28588,0,0,28589,0,0,0, +28590,28595,0,28598,0,0,28601,0,0,28605,0,0,0,0,28614,28615,28619,0,0,0,0,0,0, +28620,0,28626,0,0,28628,0,28631,0,28632,0,0,0,0,0,0,28635,0,0,0,28637,28638,0,0, +0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,28639,0,28643,0,0,28652,0,0,0,28662,0, +28670,28671,0,0,0,0,0,0,0,0,0,28672,28673,28675,28676,0,0,0,0,0,0,0,28691,0,0,0, +28695,0,0,0,28696,0,28697,28698,0,28705,0,28707,28708,28710,0,0,0,0,0,0,0,28711, +28728,0,0,0,28736,0,0,0,28737,0,0,0,0,0,0,0,0,0,28738,0,28739,0,28741,0,0,28742, +0,0,0,0,0,0,0,0,0,0,0,28745,0,0,0,0,0,0,28749,28750,28752,28754,28756,0,28757,0, +0,0,0,28759,28760,0,0,0,0,0,0,28762,0,0,0,28764,0,0,0,0,0,0,28766,0,28767,28768, +0,0,0,0,28769,28770,0,0,0,0,0,0,0,0,0,0,0,0,0,28771,0,0,0,0,0,0,0,0,0,0,0,0,0,0, +0,28772,0,28773,0,28782,0,0,0,0,0,0,28784,0,28785,0,28786,0,0,0,28787,0,0,0, +28797,0,0,0,0,0,0,28799,0,0,28801,0,0,0,0,28802,0,28805,0,0,28806,0,0,28807,0,0, +0,0,0,0,0,28808,0,0,0,0,0,28810,28812,0,0,28816,28819,0,0,28821,0,28826,0,0,0, +28842,28852,0,0,28853,0,28854,28855,0,0,0,28857,0,0,0,28858,0,28867,28868,28869, +0,0,0,28874,28880,28882,28890,28892,0,0,0,0,0,0,0,28895,0,0,0,28898,28899,0,0,0, +28900,0,0,28904,0,28906,0,0,0,0,28907,0,0,0,0,0,0,28908,0,0,0,28910,0,28914,0,0, +0,0,0,0,0,28915,28916,28919,0,0,28920,0,28921,0,0,0,0,0,0,0,0,28924,0,0,0,0, +28926,28929,0,0,0,28930,0,28936,0,28939,0,0,0,0,28942,0,0,0,0,0,0,28956,0,0,0, +28966,0,0,0,0,28967,0,0,0,0,0,0,0,0,0,28968,0,28971,0,28975,28976,0,28982,28983, +0,0,28984,28989,28996,28997,28998,0,0,0,0,0,0,28999,0,0,0,0,0,29000,0,29001,0,0, +0,29009,0,0,29011,0,0,29021,0,0,0,0,29024,0,29025,0,0,0,0,0,29026,0,0,0,29036,0, +0,0,29037,0,0,0,0,29038,0,29045,0,29047,0,0,0,0,0,0,0,0,0,29051,0,0,0,29054, +29056,29062,0,29070,29082,0,0,0,29083,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29084,0,0, +0,0,29085,29088,0,0,0,0,0,0,0,29090,29097,0,0,0,29103,0,0,0,0,0,0,0,0,29105,0,0, +0,0,0,29107,0,29109,0,0,0,29115,0,0,29120,0,0,29138,29140,0,0,0,0,0,0,0,0,0, +29152,0,29160,29174,0,29176,0,0,29180,0,29181,0,0,0,0,0,0,0,0,29228,0,0,29229,0, +0,29230,0,0,0,0,0,0,0,0,0,0,29234,0,0,0,29241,0,29245,0,29248,0,29250,29256, +29280,0,29282,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29285,0,0,29286,29291,29292,0,0,0,0, +29294,0,29295,0,0,0,0,0,29296,29297,29298,29300,0,29302,0,0,29304,29307,0,29312, +0,0,0,29322,0,0,29323,0,0,29324,29326,29328,0,29335,0,0,0,0,0,0,0,29338,29339,0, +0,0,0,0,29341,29343,0,0,0,0,29344,0,0,0,0,0,29345,0,0,0,0,29346,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,29347,29348,29349,0,0,29354,0,0,29355,0,0,0,0,0,0,0,0,29357,0,0, +0,0,29364,0,29365,0,0,0,0,0,0,0,29366,0,0,29368,0,0,0,0,0,0,0,0,29378,0,29381,0, +0,0,0,0,0,0,0,29386,0,0,0,0,0,0,29389,0,0,0,29390,0,0,29391,29397,0,29398,29412, +29414,29418,29419,0,0,0,0,0,0,0,29420,0,0,0,0,0,0,0,29423,0,0,0,29435,0,0,0, +29437,0,0,29439,0,29441,0,0,0,0,29443,0,29446,29450,29452,0,0,0,0,0,29456,0,0,0, +0,0,29461,0,0,0,29464,0,0,0,0,0,0,0,0,29468,0,29473,0,0,0,29486,0,0,0,29490,0,0, +0,29491,29492,0,0,29497,0,0,0,29498,0,29499,0,29502,29505,0,29509,0,0,0,29510,0, +0,0,29512,0,0,0,29516,0,0,0,0,0,0,0,0,29518,0,29519,0,0,0,0,0,29520,29521,29529, +0,0,0,0,0,0,0,0,29530,0,0,29531,29538,0,29540,0,0,0,29542,0,29543,29544,29547,0, +0,29548,0,0,0,29549,0,0,0,29550,0,0,29552,0,0,0,0,29558,29561,0,29562,29564,0,0, +29565,0,0,29566,0,0,0,0,0,0,0,0,0,0,29578,29584,29586,29591,0,0,0,0,29593,29594, +0,0,29597,0,0,29613,0,29614,0,29615,0,0,0,0,29616,29617,0,0,29625,0,0,0,29632,0, +0,0,0,0,0,0,29633,0,0,0,0,0,29634,29635,29637,0,29638,0,29641,29643,0,0,0,0,0,0, +29644,0,29645,0,29649,0,0,0,29650,0,29653,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29656, +29659,0,0,29660,0,0,0,29661,0,0,0,0,0,29664,0,0,0,29671,29673,0,0,0,0,0,0,0, +29675,0,29677,29679,0,0,29684,0,0,0,0,0,29685,0,0,0,29687,0,0,0,29688,0,29689, +29690,29700,0,29701,0,0,0,29702,0,29706,0,0,0,0,0,0,0,29720,0,29721,0,29727,0, +29733,29734,0,29750,29761,0,29763,0,0,0,0,0,29764,0,0,29765,0,0,0,29771,0,0,0,0, +0,0,0,0,0,0,0,0,29772,0,0,0,29773,29774,29775,0,0,0,0,0,0,0,0,0,0,0,29822,0,0,0, +29824,0,29825,0,0,0,0,0,29827,0,0,0,0,0,0,0,0,29829,0,29832,29834,0,0,29835,0,0, +29837,29838,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29843,0,0,0,0,29844,29845,0,0,0, +0,0,0,0,0,0,29849,0,0,29869,29872,29890,29905,0,0,0,0,0,29907,29921,0,29922,0,0, +29923,29926,29944,29946,0,0,0,0,0,0,0,29947,29948,0,0,0,29951,0,0,0,0,0,29953,0, +0,29956,0,29957,0,0,29962,0,0,0,0,29971,0,0,0,29972,0,0,0,0,0,29978,0,29979, +29992,30007,30008,30010,0,0,0,30013,0,0,0,0,30014,30016,0,0,0,0,0,0,0,0,0,0,0, +30017,0,0,0,0,0,30023,30031,0,0,30033,0,0,0,0,0,0,0,0,0,0,30034,0,30038,0,30039, +0,30040,0,0,0,0,0,0,30067,30068,0,0,0,30069,0,30072,0,0,0,30073,0,0,0,0,30075,0, +0,0,0,0,0,30079,0,0,30080,0,0,0,0,0,30082,0,0,0,0,0,0,0,0,0,0,0,30084,30090,0,0, +30091,0,0,0,0,30098,30118,0,30119,0,30121,30130,0,0,0,0,0,0,0,0,0,0,0,0,0,30131, +30132,30133,0,0,0,0,0,0,30135,0,0,0,0,0,0,0,0,0,0,0,30136,0,0,30137,30138,0,0,0, +30139,30146,0,0,0,0,0,30147,0,0,30148,30151,0,0,0,30168,0,30172,30173,0,0,0,0,0, +0,0,0,30180,30181,0,30192,0,0,0,0,0,0,0,30194,30196,0,0,30199,0,0,30202,0,0,0,0, +30203,0,0,0,0,0,0,0,0,0,0,30213,0,0,0,30216,0,0,30217,0,0,0,30218,0,0,0,0,30219, +0,30220,0,30222,30227,0,0,0,0,0,30231,0,0,30233,30235,0,0,0,0,30238,0,30240, +30243,30245,0,30250,30252,0,0,0,30269,0,0,30271,30272,0,0,0,30278,30280,0,0, +30282,0,30284,0,30294,0,0,0,0,30295,30296,0,0,0,0,0,30298,30299,30302,30304, +30306,0,0,0,0,0,0,30316,30317,0,0,0,30318,0,0,0,30319,0,30320,30322,30326,0,0,0, +0,0,30327,0,30332,30348,30349,0,0,30356,0,0,0,0,0,0,0,0,30357,0,30358,0,30359, +30360,0,0,30365,30366,30378,0,0,0,0,30379,0,0,30381,0,30385,0,30388,30397,0,0,0, +30401,0,0,0,0,30403,0,0,0,0,0,30404,0,0,30405,0,30406,30408,0,30409,0,30410,0,0, +0,30417,0,0,30418,30419,0,30420,0,30424,0,0,0,30427,30430,30432,0,0,0,0,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,0,30433,0,0,0,0,0,0,0,30436,0,30437,30438,0,30441,30442,0,0, +0,30445,0,0,0,0,30452,30456,30457,0,0,0,30458,0,30464,0,0,0,0,0,0,30467,0,30469, +0,0,0,0,0,30477,0,0,30484,0,0,0,0,0,30485,0,0,0,0,0,30486,30487,30497,30498,0,0, +0,0,0,0,0,0,0,0,30505,0,30508,0,0,0,30509,30510,0,30514,30516,0,0,0,0,0,0,0,0,0, +0,0,30523,0,30524,0,30525,0,0,0,0,30537,0,0,30538,0,0,0,0,0,30553,0,0,30555, +30556,30558,30559,30560,0,0,30561,0,30562,0,0,0,0,0,0,0,0,30563,30570,30571,0, +30586,30587,0,0,30590,0,0,30594,0,0,0,0,30611,30612,30623,30634,0,0,30636,30640, +30655,30656,0,30657,0,0,30658,30669,0,30670,0,30676,30678,0,0,0,0,0,0,0,30679,0, +0,0,0,0,0,0,0,0,0,0,30695,0,0,30698,0,0,0,0,30700,0,0,0,0,30701,0,30702,30703,0, +0,0,0,30707,0,0,0,30709,0,0,30710,30719,30729,0,0,0,0,0,0,0,0,0,30731,0,0,30733, +0,0,0,30734,0,0,0,0,0,30736,30737,0,0,0,30740,0,0,0,30743,0,30746,0,30747,30748, +0,0,30751,30752,30753,0,0,0,30754,0,0,30760,0,0,0,0,0,0,0,30763,0,30764,0,0, +30766,0,30769,30770,30771,30774,30777,0,0,30779,30780,30781,0,0,0,0,30790,0,0,0, +30792,0,0,0,0,30810,0,0,0,0,0,0,0,30812,30819,0,0,30823,30824,0,30825,0,30827,0, +0,0,0,0,0,30828,0,0,30830,0,0,0,30834,0,30835,0,30837,30838,0,30845,0,0,0,0,0, +30846,30847,0,0,30849,0,30851,0,0,0,0,0,30852,30858,0,0,30859,0,30865,0,0,30866, +0,0,30868,0,0,30869,0,0,0,30881,30883,0,0,0,0,0,30889,0,30891,0,0,0,0,30894,0, +30895,0,30897,0,30898,0,0,0,30904,30906,0,30909,0,0,0,0,0,0,30910,0,0,0,30915, +30933,30942,0,0,0,0,30943,0,0,30945,0,0,0,0,0,0,30946,0,0,30947,0,0,30955,30956, +0,0,30960,0,0,30961,30962,30966,0,0,30969,30974,0,0,0,30976,0,0,30977,0,30978, +30982,0,0,0,0,0,0,0,30994,30995,30998,0,31000,0,0,31001,0,0,31003,31005,0,0, +31006,31011,0,0,31014,0,31016,0,0,0,0,31018,0,0,31020,31023,31024,31025,0,0,0,0, +0,0,0,0,0,0,0,0,0,0,31027,31028,31029,0,0,0,0,0,0,31032,0,0,0,0,0,0,0,0,0,0,0, +31036,31037,31038,0,0,0,31041,31043,31045,0,31047,0,0,0,31048,0,31049,0,0,0, +31053,31054,31055,0,0,31063,0,0,0,0,0,31066,0,31068,31071,0,0,0,31072,31073,0,0, +0,0,31075,0,0,31076,0,0,0,31077,31079,0,31080,0,0,0,0,0,0,0,0,0,0,31087,0,31142, +0,31144,0,0,31145,31146,31147,0,0,0,0,0,0,0,0,0,0,0,0,0,0,31149,0,31151,31152,0, +0,0,0,0,0,0,31162,31171,31174,31175,0,0,0,31176,0,0,0,0,0,0,0,31179,0,0,0,31186, +0,0,0,31192,31195,0,0,31196,0,0,0,0,0,0,0,0,31198,0,0,0,0,0,31199,0,0,0,31205,0, +0,0,0,31211,31215,0,0,0,0,31231,0,31232,0,0,0,0,0,0,0,0,0,0,31233,31236,31253,0, +31254,0,0,0,0,0,0,31255,0,0,31257,0,0,0,0,0,0,0,0,0,31258,31259,0,0,31260,0, +31261,0,0,0,0,0,31262,31263,0,0,31264,0,31266,0,31267,0,0,0,0,0,31281,0,31282,0, +31284,0,0,31285,31287,31288,0,0,31290,0,0,0,31292,31295,0,31299,0,31300,0,0,0,0, +0,31302,0,0,0,0,31303,0,0,0,0,0,0,31304,0,0,0,0,0,31305,31308,31309,31315,0, +31317,0,0,0,0,0,31323,0,31324,0,0,0,0,0,31325,31327,0,0,31331,0,0,0,0,0,31333,0, +0,0,0,0,31336,0,0,31337,0,0,0,0,0,0,31338,0,0,0,0,0,0,0,0,0,0,0,0,31339,0,0,0,0, +0,0,0,31342,0,0,0,0,31345,0,0,0,0,0,0,0,0,31347,0,0,0,0,0,0,31348,0,0,31350, +31351,0,31352,0,0,31354,0,0,0,0,31355,0,0,31356,0,0,0,0,0,0,0,0,0,0,31363,0, +31372,0,0,31373,0,0,0,0,0,0,0,0,0,31376,0,31388,0,31389,0,31392,0,31401,0,31405, +31407,31408,0,31409,0,0,0,0,0,0,31413,31415,0,0,0,31416,31418,0,0,0,0,0,0,31422, +31423,0,0,31424,0,31425,31432,0,0,0,0,0,0,0,0,0,31433,0,0,0,0,0,0,0,0,31434,0,0, +0,0,0,0,31435,0,0,0,0,31438,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,31442,0,31444,0, +31448,0,0,31451,0,0,0,0,31452,0,31461,31465,0,0,31466,0,0,31467,0,0,31468,0,0,0, +31469,31473,0,31476,0,0,0,0,31489,31490,0,0,0,0,0,0,0,31492,31493,31494,0,0,0,0, +31501,31504,31505,0,0,0,0,0,0,0,0,0,31509,0,0,0,0,31510,0,0,31511,0,0,31513,0,0, +0,0,0,0,0,0,0,31514,0,31522,31536,31539,31540,0,31541,0,0,0,0,0,0,31546,31553, +31559,0,0,0,31560,31561,31562,0,0,31564,31567,0,31569,0,0,0,31570,0,0,0,0,31571, +0,0,0,0,0,0,31572,31574,31580,31581,0,0,31582,31584,31585,31586,31595,0,31596,0, +0,0,0,31597,0,31599,0,31600,31601,0,0,31603,31604,0,0,31608,31610,0,0,0,31611,0, +31615,0,0,0,0,31616,0,0,0,0,0,0,31617,0,0,0,0,0,31618,0,0,0,0,0,0,31621,0,0,0,0, +0,0,0,0,0,31622,31625,0,0,0,0,31627,0,31641,0,0,31642,0,0,31643,0,0,0,0,0,0,0,0, +0,31644,0,31646,0,0,0,0,31648,0,0,0,31652,0,0,0,31657,0,0,31676,0,0,0,0,0,0,0, +31689,31691,31692,0,31694,0,0,0,31696,0,31702,0,31703,0}; + +static const DictWord kStaticDictionaryWords[31705] = { +{0,0,0},{8,0,1002},{136,0,1015},{4,0,683},{4,10,325},{138,10,125},{7,11,572},{9, +11,592},{11,11,680},{11,11,842},{11,11,924},{12,11,356},{12,11,550},{13,11,317}, +{13,11,370},{13,11,469},{13,11,471},{14,11,397},{18,11,69},{146,11,145},{134,0, +1265},{136,11,534},{134,0,1431},{11,0,138},{140,0,40},{4,0,155},{7,0,1689},{4,10 +,718},{135,10,1216},{4,0,245},{5,0,151},{5,0,741},{6,0,1147},{7,0,498},{7,0,870} +,{7,0,1542},{12,0,213},{14,0,36},{14,0,391},{17,0,111},{18,0,6},{18,0,46},{18,0, +151},{19,0,36},{20,0,32},{20,0,56},{20,0,69},{20,0,102},{21,0,4},{22,0,8},{22,0, +10},{22,0,14},{150,0,31},{4,0,624},{135,0,1752},{5,10,124},{5,10,144},{6,10,548} +,{7,10,15},{7,10,153},{137,10,629},{6,0,503},{9,0,586},{13,0,468},{14,0,66},{16, +0,58},{7,10,1531},{8,10,416},{9,10,275},{10,10,100},{11,10,658},{11,10,979},{12, +10,86},{14,10,207},{15,10,20},{143,10,25},{5,0,603},{7,0,1212},{9,0,565},{14,0, +301},{5,10,915},{6,10,1783},{7,10,211},{7,10,1353},{9,10,83},{10,10,376},{10,10, +431},{11,10,543},{12,10,664},{13,10,280},{13,10,428},{14,10,128},{17,10,52},{145 +,10,81},{4,0,492},{133,0,451},{135,0,835},{141,0,70},{132,0,539},{7,11,748},{139 +,11,700},{7,11,1517},{11,11,597},{14,11,76},{14,11,335},{148,11,33},{6,0,113},{ +135,0,436},{4,10,338},{133,10,400},{136,0,718},{133,11,127},{133,11,418},{6,0, +1505},{7,0,520},{6,11,198},{11,10,892},{140,11,83},{4,10,221},{5,10,659},{5,10, +989},{7,10,697},{7,10,1211},{138,10,284},{135,0,1070},{5,11,276},{6,11,55},{135, +11,1369},{134,0,1515},{6,11,1752},{136,11,726},{138,10,507},{15,0,78},{4,10,188} +,{135,10,805},{5,10,884},{139,10,991},{133,11,764},{134,10,1653},{6,11,309},{7, +11,331},{138,11,550},{135,11,1861},{132,11,348},{135,11,986},{135,11,1573},{12,0 +,610},{13,0,431},{144,0,59},{9,11,799},{140,10,166},{134,0,1530},{132,0,750},{ +132,0,307},{133,0,964},{6,11,194},{7,11,133},{10,11,493},{10,11,570},{139,11,664 +},{5,11,24},{5,11,569},{6,11,3},{6,11,119},{6,11,143},{6,11,440},{7,11,295},{7, +11,599},{7,11,1686},{7,11,1854},{8,11,424},{9,11,43},{9,11,584},{9,11,760},{10, +11,148},{10,11,328},{11,11,159},{11,11,253},{11,11,506},{12,11,487},{12,11,531}, +{144,11,33},{136,10,760},{5,11,14},{5,11,892},{6,11,283},{7,11,234},{136,11,537} +,{135,11,1251},{4,11,126},{8,11,635},{147,11,34},{4,11,316},{135,11,1561},{6,0, +999},{6,0,1310},{137,11,861},{4,11,64},{5,11,352},{5,11,720},{6,11,368},{139,11, +359},{4,0,75},{5,0,180},{6,0,500},{7,0,58},{7,0,710},{10,0,645},{136,10,770},{ +133,0,649},{6,0,276},{7,0,282},{7,0,879},{7,0,924},{8,0,459},{9,0,599},{9,0,754} +,{11,0,574},{12,0,128},{12,0,494},{13,0,52},{13,0,301},{15,0,30},{143,0,132},{ +132,0,200},{4,10,89},{5,10,489},{6,10,315},{7,10,553},{7,10,1745},{138,10,243},{ +135,11,1050},{7,0,1621},{6,10,1658},{9,10,3},{10,10,154},{11,10,641},{13,10,85}, +{13,10,201},{141,10,346},{6,11,175},{137,11,289},{5,11,432},{133,11,913},{6,0, +225},{137,0,211},{7,0,718},{8,0,687},{139,0,374},{4,10,166},{133,10,505},{9,0, +110},{134,10,1670},{8,0,58},{9,0,724},{11,0,809},{13,0,113},{145,0,72},{6,0,345} +,{7,0,1247},{144,11,82},{5,11,931},{134,11,1698},{8,0,767},{8,0,803},{9,0,301},{ +137,0,903},{139,0,203},{134,0,1154},{7,0,1949},{136,0,674},{134,0,259},{135,0, +1275},{5,11,774},{6,11,1637},{6,11,1686},{134,11,1751},{134,0,1231},{7,10,445},{ +8,10,307},{8,10,704},{10,10,41},{10,10,439},{11,10,237},{11,10,622},{140,10,201} +,{136,0,254},{6,11,260},{135,11,1484},{139,0,277},{135,10,1977},{4,10,189},{5,10 +,713},{6,11,573},{136,10,57},{138,10,371},{132,10,552},{134,11,344},{133,0,248}, +{9,0,800},{10,0,693},{11,0,482},{11,0,734},{11,0,789},{134,11,240},{4,0,116},{5, +0,95},{5,0,445},{7,0,1688},{8,0,29},{9,0,272},{11,0,509},{11,0,915},{4,11,292},{ +4,11,736},{5,11,871},{6,11,171},{6,11,1689},{7,11,1324},{7,11,1944},{9,11,415},{ +9,11,580},{14,11,230},{146,11,68},{7,0,490},{13,0,100},{143,0,75},{135,0,1641},{ +133,0,543},{7,11,209},{8,11,661},{10,11,42},{11,11,58},{12,11,58},{12,11,118},{ +141,11,32},{5,0,181},{8,0,41},{6,11,63},{135,11,920},{133,0,657},{133,11,793},{ +138,0,709},{7,0,25},{8,0,202},{138,0,536},{5,11,665},{135,10,1788},{145,10,49},{ +9,0,423},{140,0,89},{5,11,67},{6,11,62},{6,11,374},{135,11,1391},{8,0,113},{9,0, +877},{10,0,554},{11,0,83},{12,0,136},{19,0,109},{9,11,790},{140,11,47},{138,10, +661},{4,0,963},{10,0,927},{14,0,442},{135,10,1945},{133,0,976},{132,0,206},{4,11 +,391},{135,11,1169},{134,0,2002},{6,0,696},{134,0,1008},{134,0,1170},{132,11,271 +},{7,0,13},{8,0,226},{10,0,537},{11,0,570},{11,0,605},{11,0,799},{11,0,804},{12, +0,85},{12,0,516},{12,0,623},{13,0,112},{13,0,361},{14,0,77},{14,0,78},{17,0,28}, +{19,0,110},{140,11,314},{132,0,769},{134,0,1544},{4,0,551},{137,0,678},{5,10,84} +,{134,10,163},{9,0,57},{9,0,459},{10,0,425},{11,0,119},{12,0,184},{12,0,371},{13 +,0,358},{145,0,51},{5,0,188},{5,0,814},{8,0,10},{9,0,421},{9,0,729},{10,0,609},{ +11,0,689},{4,11,253},{5,10,410},{5,11,544},{7,11,300},{137,11,340},{134,0,624},{ +138,11,321},{135,0,1941},{18,0,130},{5,10,322},{8,10,186},{9,10,262},{10,10,187} +,{142,10,208},{5,11,53},{5,11,541},{6,11,94},{6,11,499},{7,11,230},{139,11,321}, +{133,10,227},{4,0,378},{4,11,920},{5,11,25},{5,11,790},{6,11,457},{135,11,853},{ +137,0,269},{132,0,528},{134,0,1146},{7,10,1395},{8,10,486},{9,10,236},{9,10,878} +,{10,10,218},{11,10,95},{19,10,17},{147,10,31},{7,10,2043},{8,10,672},{141,10, +448},{134,0,1105},{134,0,1616},{134,11,1765},{140,11,163},{5,10,412},{133,11,822 +},{132,11,634},{6,0,656},{134,11,1730},{134,0,1940},{5,0,104},{6,0,173},{135,0, +1631},{136,10,562},{6,11,36},{7,11,658},{8,11,454},{147,11,86},{5,0,457},{134,10 +,1771},{7,0,810},{8,0,138},{8,0,342},{9,0,84},{10,0,193},{11,0,883},{140,0,359}, +{9,0,620},{135,10,1190},{137,10,132},{7,11,975},{137,11,789},{6,0,95},{6,0,1934} +,{136,0,967},{141,11,335},{6,0,406},{10,0,409},{10,0,447},{11,0,44},{140,0,100}, +{4,10,317},{135,10,1279},{132,0,477},{134,0,1268},{6,0,1941},{8,0,944},{5,10,63} +,{133,10,509},{132,0,629},{132,11,104},{4,0,246},{133,0,375},{6,0,1636},{132,10, +288},{135,11,1614},{9,0,49},{10,0,774},{8,10,89},{8,10,620},{11,10,628},{12,10, +322},{143,10,124},{4,0,282},{7,0,1034},{11,0,398},{11,0,634},{12,0,1},{12,0,79}, +{12,0,544},{14,0,237},{17,0,10},{146,0,20},{132,0,824},{7,11,45},{9,11,542},{9, +11,566},{138,11,728},{5,0,118},{5,0,499},{6,0,476},{6,0,665},{6,0,1176},{6,0, +1196},{7,0,600},{7,0,888},{135,0,1096},{7,0,296},{7,0,596},{8,0,560},{8,0,586},{ +9,0,612},{11,0,304},{12,0,46},{13,0,89},{14,0,112},{145,0,122},{5,0,894},{6,0, +1772},{9,0,1009},{138,10,120},{5,11,533},{7,11,755},{138,11,780},{151,10,1},{6,0 +,1474},{7,11,87},{142,11,288},{139,0,366},{137,10,461},{7,11,988},{7,11,1939},{9 +,11,64},{9,11,502},{12,11,7},{12,11,34},{13,11,12},{13,11,234},{147,11,77},{7,0, +1599},{7,0,1723},{8,0,79},{8,0,106},{8,0,190},{8,0,302},{8,0,383},{8,0,713},{9,0 +,119},{9,0,233},{9,0,419},{9,0,471},{10,0,181},{10,0,406},{11,0,57},{11,0,85},{ +11,0,120},{11,0,177},{11,0,296},{11,0,382},{11,0,454},{11,0,758},{11,0,999},{12, +0,27},{12,0,98},{12,0,131},{12,0,245},{12,0,312},{12,0,446},{12,0,454},{13,0,25} +,{13,0,98},{13,0,426},{13,0,508},{14,0,70},{14,0,163},{14,0,272},{14,0,277},{14, +0,370},{15,0,95},{15,0,138},{15,0,167},{17,0,38},{148,0,96},{135,10,1346},{10,0, +200},{19,0,2},{151,0,22},{135,11,141},{134,10,85},{134,0,1759},{138,0,372},{145, +0,16},{8,0,943},{132,11,619},{139,11,88},{5,11,246},{8,11,189},{9,11,355},{9,11, +512},{10,11,124},{10,11,453},{11,11,143},{11,11,416},{11,11,859},{141,11,341},{5 +,0,258},{134,0,719},{6,0,1798},{6,0,1839},{8,0,900},{10,0,874},{10,0,886},{12,0, +698},{12,0,732},{12,0,770},{16,0,106},{18,0,163},{18,0,170},{18,0,171},{152,0,20 +},{9,0,707},{11,0,326},{11,0,339},{12,0,423},{12,0,502},{20,0,62},{9,11,707},{11 +,11,326},{11,11,339},{12,11,423},{12,11,502},{148,11,62},{5,0,30},{7,0,495},{8,0 +,134},{9,0,788},{140,0,438},{133,11,678},{5,10,279},{6,10,235},{7,10,468},{8,10, +446},{9,10,637},{10,10,717},{11,10,738},{140,10,514},{5,11,35},{6,11,287},{7,11, +862},{7,11,1886},{138,11,179},{7,0,1948},{7,0,2004},{132,11,517},{5,10,17},{6,10 +,371},{137,10,528},{4,0,115},{5,0,669},{6,0,407},{8,0,311},{11,0,10},{141,0,5},{ +137,0,381},{5,0,50},{6,0,439},{7,0,780},{135,0,1040},{136,11,667},{11,11,403},{ +146,11,83},{5,0,1},{6,0,81},{138,0,520},{134,0,738},{5,0,482},{8,0,98},{9,0,172} +,{10,0,360},{10,0,700},{10,0,822},{11,0,302},{11,0,778},{12,0,50},{12,0,127},{12 +,0,396},{13,0,62},{13,0,328},{14,0,122},{147,0,72},{9,11,157},{10,11,131},{140, +11,72},{135,11,714},{135,11,539},{5,0,2},{6,0,512},{7,0,797},{7,0,1494},{8,0,253 +},{8,0,589},{9,0,77},{10,0,1},{10,0,129},{10,0,225},{11,0,118},{11,0,226},{11,0, +251},{11,0,430},{11,0,701},{11,0,974},{11,0,982},{12,0,64},{12,0,260},{12,0,488} +,{140,0,690},{5,11,394},{7,11,367},{7,11,487},{7,11,857},{7,11,1713},{8,11,246}, +{9,11,537},{10,11,165},{12,11,219},{140,11,561},{136,0,557},{5,10,779},{5,10,807 +},{6,10,1655},{134,10,1676},{4,10,196},{5,10,558},{133,10,949},{11,11,827},{12, +11,56},{14,11,34},{143,11,148},{137,0,347},{133,0,572},{134,0,832},{4,0,12},{7,0 +,504},{7,0,522},{7,0,809},{8,0,797},{141,0,88},{4,10,752},{133,11,449},{7,11,86} +,{8,11,103},{145,11,69},{7,11,2028},{138,11,641},{5,0,528},{6,11,1},{142,11,2},{ +134,0,861},{10,0,294},{4,10,227},{5,10,159},{5,10,409},{7,10,80},{10,10,479},{12 +,10,418},{14,10,50},{14,10,249},{142,10,295},{7,10,1470},{8,10,66},{8,10,137},{8 +,10,761},{9,10,638},{11,10,80},{11,10,212},{11,10,368},{11,10,418},{12,10,8},{13 +,10,15},{16,10,61},{17,10,59},{19,10,28},{148,10,84},{20,0,109},{135,11,1148},{6 +,11,277},{7,11,1274},{7,11,1386},{7,11,1392},{12,11,129},{146,11,87},{6,11,187}, +{7,11,39},{7,11,1203},{8,11,380},{8,11,542},{14,11,117},{149,11,28},{134,0,1187} +,{5,0,266},{9,0,290},{9,0,364},{10,0,293},{11,0,606},{142,0,45},{6,11,297},{7,11 +,793},{139,11,938},{4,0,50},{6,0,594},{9,0,121},{10,0,49},{10,0,412},{139,0,834} +,{136,0,748},{7,11,464},{8,11,438},{11,11,105},{11,11,363},{12,11,231},{14,11, +386},{15,11,102},{148,11,75},{132,0,466},{13,0,399},{14,0,337},{6,10,38},{7,10, +1220},{8,10,185},{8,10,256},{9,10,22},{9,10,331},{10,10,738},{11,10,205},{11,10, +540},{11,10,746},{13,10,465},{142,10,194},{9,0,378},{141,0,162},{137,0,519},{4, +10,159},{6,10,115},{7,10,252},{7,10,257},{7,10,1928},{8,10,69},{9,10,384},{10,10 +,91},{10,10,615},{12,10,375},{14,10,235},{18,10,117},{147,10,123},{5,11,604},{5, +10,911},{136,10,278},{132,0,667},{8,0,351},{9,0,322},{4,10,151},{135,10,1567},{ +134,0,902},{133,10,990},{12,0,180},{5,10,194},{7,10,1662},{137,10,90},{4,0,869}, +{134,0,1996},{134,0,813},{133,10,425},{137,11,761},{132,0,260},{133,10,971},{5, +11,20},{6,11,298},{7,11,659},{7,11,1366},{137,11,219},{4,0,39},{5,0,36},{7,0, +1843},{8,0,407},{11,0,144},{140,0,523},{4,0,510},{10,0,587},{139,10,752},{7,0,29 +},{7,0,66},{7,0,1980},{10,0,487},{138,0,809},{13,0,260},{14,0,82},{18,0,63},{137 +,10,662},{5,10,72},{6,10,264},{7,10,21},{7,10,46},{7,10,2013},{8,10,215},{8,10, +513},{10,10,266},{139,10,22},{134,0,570},{6,0,565},{7,0,1667},{4,11,439},{10,10, +95},{11,10,603},{12,11,242},{13,10,443},{14,10,160},{143,10,4},{134,0,1464},{134 +,10,431},{9,0,372},{15,0,2},{19,0,10},{19,0,18},{5,10,874},{6,10,1677},{143,10,0 +},{132,0,787},{6,0,380},{12,0,399},{21,0,19},{7,10,939},{7,10,1172},{7,10,1671}, +{9,10,540},{10,10,696},{11,10,265},{11,10,732},{11,10,928},{11,10,937},{141,10, +438},{137,0,200},{132,11,233},{132,0,516},{134,11,577},{132,0,844},{11,0,887},{ +14,0,365},{142,0,375},{132,11,482},{8,0,821},{140,0,44},{7,0,1655},{136,0,305},{ +5,10,682},{135,10,1887},{135,11,346},{132,10,696},{4,0,10},{7,0,917},{139,0,786} +,{5,11,795},{6,11,1741},{8,11,417},{137,11,782},{4,0,1016},{134,0,2031},{5,0,684 +},{4,10,726},{133,10,630},{6,0,1021},{134,0,1480},{8,10,802},{136,10,838},{134,0 +,27},{134,0,395},{135,11,622},{7,11,625},{135,11,1750},{4,11,203},{135,11,1936}, +{6,10,118},{7,10,215},{7,10,1521},{140,10,11},{132,0,813},{136,0,511},{7,10,615} +,{138,10,251},{135,10,1044},{145,0,56},{133,10,225},{6,0,342},{6,0,496},{8,0,275 +},{137,0,206},{4,0,909},{133,0,940},{132,0,891},{7,11,311},{9,11,308},{140,11, +255},{4,10,370},{5,10,756},{135,10,1326},{4,0,687},{134,0,1596},{134,0,1342},{6, +10,1662},{7,10,48},{8,10,771},{10,10,116},{13,10,104},{14,10,105},{14,10,184},{ +15,10,168},{19,10,92},{148,10,68},{138,10,209},{4,11,400},{5,11,267},{135,11,232 +},{151,11,12},{6,0,41},{141,0,160},{141,11,314},{134,0,1718},{136,0,778},{142,11 +,261},{134,0,1610},{133,0,115},{132,0,294},{14,0,314},{132,10,120},{132,0,983},{ +5,0,193},{140,0,178},{138,10,429},{5,10,820},{135,10,931},{6,0,994},{6,0,1051},{ +6,0,1439},{7,0,174},{133,11,732},{4,11,100},{7,11,679},{8,11,313},{138,10,199},{ +6,10,151},{6,10,1675},{7,10,383},{151,10,10},{6,0,1796},{8,0,848},{8,0,867},{8,0 +,907},{10,0,855},{140,0,703},{140,0,221},{4,0,122},{5,0,796},{5,0,952},{6,0,1660 +},{6,0,1671},{8,0,567},{9,0,687},{9,0,742},{10,0,686},{11,0,682},{11,0,909},{140 +,0,281},{5,11,362},{5,11,443},{6,11,318},{7,11,1019},{139,11,623},{5,11,463},{ +136,11,296},{11,0,583},{13,0,262},{6,10,1624},{12,10,422},{142,10,360},{5,0,179} +,{7,0,1095},{135,0,1213},{4,10,43},{4,11,454},{5,10,344},{133,10,357},{4,0,66},{ +7,0,722},{135,0,904},{134,0,773},{7,0,352},{133,10,888},{5,11,48},{5,11,404},{6, +11,557},{7,11,458},{8,11,597},{10,11,455},{10,11,606},{11,11,49},{11,11,548},{12 +,11,476},{13,11,18},{141,11,450},{134,11,418},{132,10,711},{5,11,442},{135,11, +1984},{141,0,35},{137,0,152},{134,0,1197},{135,11,1093},{137,11,203},{137,10,440 +},{10,0,592},{10,0,753},{12,0,317},{12,0,355},{12,0,465},{12,0,469},{12,0,560},{ +12,0,578},{141,0,243},{133,0,564},{134,0,797},{5,10,958},{133,10,987},{5,11,55}, +{7,11,376},{140,11,161},{133,11,450},{134,0,556},{134,0,819},{11,10,276},{142,10 +,293},{7,0,544},{138,0,61},{8,0,719},{4,10,65},{5,10,479},{5,10,1004},{7,10,1913 +},{8,10,317},{9,10,302},{10,10,612},{141,10,22},{4,0,5},{5,0,498},{8,0,637},{9,0 +,521},{4,11,213},{4,10,261},{7,11,223},{7,10,510},{136,11,80},{5,0,927},{7,0,101 +},{4,10,291},{7,11,381},{7,11,806},{7,11,820},{8,11,354},{8,11,437},{8,11,787},{ +9,10,515},{9,11,657},{10,11,58},{10,11,339},{10,11,749},{11,11,914},{12,10,152}, +{12,11,162},{12,10,443},{13,11,75},{13,10,392},{14,11,106},{14,11,198},{14,11, +320},{14,10,357},{14,11,413},{146,11,43},{6,0,1153},{7,0,1441},{136,11,747},{4,0 +,893},{5,0,780},{133,0,893},{138,11,654},{133,11,692},{133,0,238},{134,11,191},{ +4,10,130},{135,10,843},{6,0,1296},{5,10,42},{5,10,879},{7,10,245},{7,10,324},{7, +10,1532},{11,10,463},{11,10,472},{13,10,363},{144,10,52},{134,0,1729},{6,0,1999} +,{136,0,969},{4,10,134},{133,10,372},{4,0,60},{7,0,941},{7,0,1800},{8,0,314},{9, +0,700},{139,0,487},{134,0,1144},{6,11,162},{7,11,1960},{136,11,831},{132,11,706} +,{135,0,1147},{138,11,426},{138,11,89},{7,0,1853},{138,0,437},{136,0,419},{135, +10,1634},{133,0,828},{5,0,806},{7,0,176},{7,0,178},{7,0,1240},{7,0,1976},{132,10 +,644},{135,11,1877},{5,11,420},{135,11,1449},{4,0,51},{5,0,39},{6,0,4},{7,0,591} +,{7,0,849},{7,0,951},{7,0,1613},{7,0,1760},{7,0,1988},{9,0,434},{10,0,754},{11,0 +,25},{139,0,37},{10,11,57},{138,11,277},{135,10,540},{132,11,204},{135,0,159},{ +139,11,231},{133,0,902},{7,0,928},{7,11,366},{9,11,287},{12,11,199},{12,11,556}, +{140,11,577},{6,10,623},{136,10,789},{4,10,908},{5,10,359},{5,10,508},{6,10,1723 +},{7,10,343},{7,10,1996},{135,10,2026},{134,0,270},{4,10,341},{135,10,480},{5,11 +,356},{135,11,224},{11,11,588},{11,11,864},{11,11,968},{143,11,160},{132,0,556}, +{137,0,801},{132,0,416},{142,0,372},{5,0,152},{5,0,197},{7,0,340},{7,0,867},{10, +0,548},{10,0,581},{11,0,6},{12,0,3},{12,0,19},{14,0,110},{142,0,289},{139,0,369} +,{7,11,630},{9,11,567},{11,11,150},{11,11,444},{141,11,119},{134,11,539},{7,10, +1995},{8,10,299},{11,10,890},{140,10,674},{7,0,34},{7,0,190},{8,0,28},{8,0,141}, +{8,0,444},{8,0,811},{9,0,468},{11,0,334},{12,0,24},{12,0,386},{140,0,576},{133,0 +,757},{7,0,1553},{136,0,898},{133,0,721},{136,0,1012},{4,0,789},{5,0,647},{135,0 +,1102},{132,0,898},{10,0,183},{4,10,238},{5,10,503},{6,10,179},{7,10,2003},{8,10 +,381},{8,10,473},{9,10,149},{10,10,788},{15,10,45},{15,10,86},{20,10,110},{150, +10,57},{9,0,136},{19,0,107},{4,10,121},{5,10,156},{5,10,349},{10,10,605},{142,10 +,342},{4,11,235},{135,11,255},{4,11,194},{5,11,584},{6,11,384},{7,11,583},{10,11 +,761},{11,11,760},{139,11,851},{6,10,80},{6,10,1694},{7,10,173},{7,10,1974},{9, +10,547},{10,10,730},{14,10,18},{150,10,39},{4,10,923},{134,10,1711},{5,0,277},{ +141,0,247},{132,0,435},{133,11,562},{134,0,1311},{5,11,191},{137,11,271},{132,10 +,595},{7,11,1537},{14,11,96},{143,11,73},{5,0,437},{7,0,502},{7,0,519},{7,0,1122 +},{7,0,1751},{14,0,211},{6,10,459},{7,10,1753},{7,10,1805},{8,10,658},{9,10,1},{ +11,10,959},{141,10,446},{6,0,814},{4,11,470},{5,11,473},{6,11,153},{7,11,1503},{ +7,11,1923},{10,11,701},{11,11,132},{11,11,168},{11,11,227},{11,11,320},{11,11, +436},{11,11,525},{11,11,855},{12,11,41},{12,11,286},{13,11,103},{13,11,284},{14, +11,255},{14,11,262},{15,11,117},{143,11,127},{5,0,265},{6,0,212},{135,0,28},{138 +,0,750},{133,11,327},{6,11,552},{7,11,1754},{137,11,604},{134,0,2012},{132,0,702 +},{5,11,80},{6,11,405},{7,11,403},{7,11,1502},{7,11,1626},{8,11,456},{9,11,487}, +{9,11,853},{9,11,889},{10,11,309},{11,11,721},{11,11,994},{12,11,430},{141,11, +165},{5,0,808},{135,0,2045},{5,0,166},{8,0,739},{140,0,511},{134,10,490},{4,11, +453},{5,11,887},{6,11,535},{8,11,6},{136,11,543},{4,0,119},{5,0,170},{5,0,447},{ +7,0,1708},{7,0,1889},{9,0,357},{9,0,719},{12,0,486},{140,0,596},{137,0,500},{7, +10,250},{136,10,507},{132,10,158},{6,0,809},{134,0,1500},{9,0,327},{11,0,350},{ +11,0,831},{13,0,352},{4,10,140},{7,10,362},{8,10,209},{9,10,10},{9,10,503},{9,10 +,614},{10,10,689},{11,10,327},{11,10,725},{12,10,252},{12,10,583},{13,10,192},{ +14,10,269},{14,10,356},{148,10,50},{135,11,741},{4,0,450},{7,0,1158},{19,10,1},{ +19,10,26},{150,10,9},{6,0,597},{135,0,1318},{134,0,1602},{6,10,228},{7,10,1341}, +{9,10,408},{138,10,343},{7,0,1375},{7,0,1466},{138,0,331},{132,0,754},{132,10, +557},{5,11,101},{6,11,88},{6,11,543},{7,11,1677},{9,11,100},{10,11,677},{14,11, +169},{14,11,302},{14,11,313},{15,11,48},{143,11,84},{134,0,1368},{4,11,310},{9, +11,795},{10,11,733},{11,11,451},{12,11,249},{14,11,115},{14,11,286},{143,11,100} +,{132,10,548},{10,0,557},{7,10,197},{8,10,142},{8,10,325},{9,10,150},{9,10,596}, +{10,10,353},{11,10,74},{11,10,315},{12,10,662},{12,10,681},{14,10,423},{143,10, +141},{133,11,587},{5,0,850},{136,0,799},{10,0,908},{12,0,701},{12,0,757},{142,0, +466},{4,0,62},{5,0,275},{18,0,19},{6,10,399},{6,10,579},{7,10,692},{7,10,846},{7 +,10,1015},{7,10,1799},{8,10,403},{9,10,394},{10,10,133},{12,10,4},{12,10,297},{ +12,10,452},{16,10,81},{18,10,25},{21,10,14},{22,10,12},{151,10,18},{12,0,459},{7 +,10,1546},{11,10,299},{142,10,407},{132,10,177},{132,11,498},{7,11,217},{8,11, +140},{138,11,610},{5,10,411},{135,10,653},{134,0,1802},{7,10,439},{10,10,727},{ +11,10,260},{139,10,684},{133,11,905},{11,11,580},{142,11,201},{134,0,1397},{5,10 +,208},{7,10,753},{135,10,1528},{7,0,238},{7,0,2033},{8,0,120},{8,0,188},{8,0,659 +},{9,0,598},{10,0,466},{12,0,342},{12,0,588},{13,0,503},{14,0,246},{143,0,92},{ +135,11,1041},{4,11,456},{7,11,105},{7,11,358},{7,11,1637},{8,11,643},{139,11,483 +},{6,0,1318},{134,0,1324},{4,0,201},{7,0,1744},{8,0,602},{11,0,247},{11,0,826},{ +17,0,65},{133,10,242},{8,0,164},{146,0,62},{133,10,953},{139,10,802},{133,0,615} +,{7,11,1566},{8,11,269},{9,11,212},{9,11,718},{14,11,15},{14,11,132},{142,11,227 +},{133,10,290},{132,10,380},{5,10,52},{7,10,277},{9,10,368},{139,10,791},{135,0, +1243},{133,11,539},{11,11,919},{141,11,409},{136,0,968},{133,11,470},{134,0,882} +,{132,0,907},{5,0,100},{10,0,329},{12,0,416},{149,0,29},{10,10,138},{139,10,476} +,{5,10,725},{5,10,727},{6,11,91},{7,11,435},{135,10,1811},{4,11,16},{5,11,316},{ +5,11,842},{6,11,370},{6,11,1778},{8,11,166},{11,11,812},{12,11,206},{12,11,351}, +{14,11,418},{16,11,15},{16,11,34},{18,11,3},{19,11,3},{19,11,7},{20,11,4},{149, +11,21},{132,0,176},{5,0,636},{5,0,998},{7,0,9},{7,0,1508},{8,0,26},{9,0,317},{9, +0,358},{10,0,210},{10,0,292},{10,0,533},{11,0,555},{12,0,526},{12,0,607},{13,0, +263},{13,0,459},{142,0,271},{6,0,256},{8,0,265},{4,10,38},{7,10,307},{7,10,999}, +{7,10,1481},{7,10,1732},{7,10,1738},{9,10,414},{11,10,316},{12,10,52},{13,10,420 +},{147,10,100},{135,10,1296},{4,11,611},{133,11,606},{4,0,643},{142,11,21},{133, +11,715},{133,10,723},{6,0,610},{135,11,597},{10,0,127},{141,0,27},{6,0,1995},{6, +0,2001},{8,0,119},{136,0,973},{4,11,149},{138,11,368},{12,0,522},{4,11,154},{5, +10,109},{6,10,1784},{7,11,1134},{7,10,1895},{8,11,105},{12,10,296},{140,10,302}, +{4,11,31},{6,11,429},{7,11,962},{9,11,458},{139,11,691},{10,0,553},{11,0,876},{ +13,0,193},{13,0,423},{14,0,166},{19,0,84},{4,11,312},{5,10,216},{7,10,1879},{9, +10,141},{9,10,270},{9,10,679},{10,10,159},{11,10,197},{12,10,538},{12,10,559},{ +14,10,144},{14,10,167},{143,10,67},{134,0,1582},{7,0,1578},{135,11,1578},{137,10 +,81},{132,11,236},{134,10,391},{134,0,795},{7,10,322},{136,10,249},{5,11,836},{5 +,11,857},{6,11,1680},{7,11,59},{147,11,53},{135,0,432},{10,11,68},{139,11,494},{ +4,11,81},{139,11,867},{7,0,126},{136,0,84},{142,11,280},{5,11,282},{8,11,650},{9 +,11,295},{9,11,907},{138,11,443},{136,0,790},{5,10,632},{138,10,526},{6,0,64},{ +12,0,377},{13,0,309},{14,0,141},{14,0,429},{14,11,141},{142,11,429},{134,0,1529} +,{6,0,321},{7,0,1857},{9,0,530},{19,0,99},{7,10,948},{7,10,1042},{8,10,235},{8, +10,461},{9,10,453},{10,10,354},{145,10,77},{7,0,1104},{11,0,269},{11,0,539},{11, +0,627},{11,0,706},{11,0,975},{12,0,248},{12,0,434},{12,0,600},{12,0,622},{13,0, +297},{13,0,485},{14,0,69},{14,0,409},{143,0,108},{4,10,362},{7,10,52},{7,10,303} +,{10,11,70},{12,11,26},{14,11,17},{14,11,178},{15,11,34},{149,11,12},{11,0,977}, +{141,0,507},{9,0,34},{139,0,484},{5,10,196},{6,10,486},{7,10,212},{8,10,309},{ +136,10,346},{6,0,1700},{7,0,26},{7,0,293},{7,0,382},{7,0,1026},{7,0,1087},{7,0, +2027},{8,0,24},{8,0,114},{8,0,252},{8,0,727},{8,0,729},{9,0,30},{9,0,199},{9,0, +231},{9,0,251},{9,0,334},{9,0,361},{9,0,712},{10,0,55},{10,0,60},{10,0,232},{10, +0,332},{10,0,384},{10,0,396},{10,0,504},{10,0,542},{10,0,652},{11,0,20},{11,0,48 +},{11,0,207},{11,0,291},{11,0,298},{11,0,342},{11,0,365},{11,0,394},{11,0,620},{ +11,0,705},{11,0,1017},{12,0,123},{12,0,340},{12,0,406},{12,0,643},{13,0,61},{13, +0,269},{13,0,311},{13,0,319},{13,0,486},{14,0,234},{15,0,62},{15,0,85},{16,0,71} +,{18,0,119},{20,0,105},{135,10,1912},{4,11,71},{5,11,376},{7,11,119},{138,11,665 +},{10,0,918},{10,0,926},{4,10,686},{136,11,55},{138,10,625},{136,10,706},{132,11 +,479},{4,10,30},{133,10,43},{6,0,379},{7,0,270},{8,0,176},{8,0,183},{9,0,432},{9 +,0,661},{12,0,247},{12,0,617},{18,0,125},{7,11,607},{8,11,99},{152,11,4},{5,0, +792},{133,0,900},{4,11,612},{133,11,561},{4,11,41},{4,10,220},{5,11,74},{7,10, +1535},{7,11,1627},{11,11,871},{140,11,619},{135,0,1920},{7,11,94},{11,11,329},{ +11,11,965},{12,11,241},{14,11,354},{15,11,22},{148,11,63},{9,11,209},{137,11,300 +},{134,0,771},{135,0,1979},{4,0,901},{133,0,776},{142,0,254},{133,11,98},{9,11, +16},{141,11,386},{133,11,984},{4,11,182},{6,11,205},{135,11,220},{7,10,1725},{7, +10,1774},{138,10,393},{5,10,263},{134,10,414},{4,11,42},{9,11,205},{9,11,786},{ +138,11,659},{14,0,140},{148,0,41},{8,0,440},{10,0,359},{6,10,178},{6,11,289},{6, +10,1750},{7,11,1670},{9,10,690},{10,10,155},{10,10,373},{11,10,698},{12,11,57},{ +13,10,155},{20,10,93},{151,11,4},{4,0,37},{5,0,334},{7,0,1253},{151,11,25},{4,0, +508},{4,11,635},{5,10,97},{137,10,393},{139,11,533},{4,0,640},{133,0,513},{134, +10,1639},{132,11,371},{4,11,272},{7,11,836},{7,11,1651},{145,11,89},{5,11,825},{ +6,11,444},{6,11,1640},{136,11,308},{4,10,191},{7,10,934},{8,10,647},{145,10,97}, +{12,0,246},{15,0,162},{19,0,64},{20,0,8},{20,0,95},{22,0,24},{152,0,17},{4,0,533 +},{5,10,165},{9,10,346},{138,10,655},{5,11,737},{139,10,885},{133,10,877},{8,10, +128},{139,10,179},{137,11,307},{140,0,752},{133,0,920},{135,0,1048},{5,0,153},{6 +,0,580},{6,10,1663},{7,10,132},{7,10,1154},{7,10,1415},{7,10,1507},{12,10,493},{ +15,10,105},{151,10,15},{5,10,459},{7,10,1073},{8,10,241},{136,10,334},{138,0,391 +},{135,0,1952},{133,11,525},{8,11,641},{11,11,388},{140,11,580},{142,0,126},{134 +,0,640},{132,0,483},{7,0,1616},{9,0,69},{6,10,324},{6,10,520},{7,10,338},{7,10, +1729},{8,10,228},{139,10,750},{5,11,493},{134,11,528},{135,0,734},{4,11,174},{ +135,11,911},{138,0,480},{9,0,495},{146,0,104},{135,10,705},{9,0,472},{4,10,73},{ +6,10,612},{7,10,927},{7,10,1330},{7,10,1822},{8,10,217},{9,10,765},{9,10,766},{ +10,10,408},{11,10,51},{11,10,793},{12,10,266},{15,10,158},{20,10,89},{150,10,32} +,{7,11,548},{137,11,58},{4,11,32},{5,11,215},{6,11,269},{7,11,1782},{7,11,1892}, +{10,11,16},{11,11,822},{11,11,954},{141,11,481},{132,0,874},{9,0,229},{5,10,389} +,{136,10,636},{7,11,1749},{136,11,477},{134,0,948},{5,11,308},{135,11,1088},{4,0 +,748},{139,0,1009},{136,10,21},{6,0,555},{135,0,485},{5,11,126},{8,11,297},{9,11 +,366},{9,11,445},{12,11,53},{12,11,374},{141,11,492},{7,11,1551},{139,11,361},{ +136,0,193},{136,0,472},{8,0,653},{13,0,93},{147,0,14},{132,0,984},{132,11,175},{ +5,0,172},{6,0,1971},{132,11,685},{149,11,8},{133,11,797},{13,0,83},{5,10,189},{7 +,10,442},{7,10,443},{8,10,281},{12,10,174},{141,10,261},{134,0,1568},{133,11,565 +},{139,0,384},{133,0,260},{7,0,758},{7,0,880},{7,0,1359},{9,0,164},{9,0,167},{10 +,0,156},{10,0,588},{12,0,101},{14,0,48},{15,0,70},{6,10,2},{7,10,1262},{7,10, +1737},{8,10,22},{8,10,270},{8,10,612},{9,10,312},{9,10,436},{10,10,311},{10,10, +623},{11,10,72},{11,10,330},{11,10,455},{12,10,321},{12,10,504},{12,10,530},{12, +10,543},{13,10,17},{13,10,156},{13,10,334},{17,10,60},{148,10,64},{4,11,252},{7, +11,1068},{10,11,434},{11,11,228},{11,11,426},{13,11,231},{18,11,106},{148,11,87} +,{7,10,354},{10,10,410},{139,10,815},{6,0,367},{7,10,670},{7,10,1327},{8,10,411} +,{8,10,435},{9,10,653},{9,10,740},{10,10,385},{11,10,222},{11,10,324},{11,10,829 +},{140,10,611},{7,0,1174},{6,10,166},{135,10,374},{146,0,121},{132,0,828},{5,11, +231},{138,11,509},{7,11,601},{9,11,277},{9,11,674},{10,11,178},{10,11,257},{10, +11,418},{11,11,531},{11,11,544},{11,11,585},{12,11,113},{12,11,475},{13,11,99},{ +142,11,428},{134,0,1541},{135,11,1779},{5,0,343},{134,10,398},{135,10,50},{135, +11,1683},{4,0,440},{7,0,57},{8,0,167},{8,0,375},{9,0,82},{9,0,561},{9,0,744},{10 +,0,620},{137,11,744},{134,0,926},{6,10,517},{7,10,1159},{10,10,621},{139,10,192} +,{137,0,827},{8,0,194},{136,0,756},{10,10,223},{139,10,645},{7,10,64},{136,10, +245},{4,11,399},{5,11,119},{5,11,494},{7,11,751},{137,11,556},{132,0,808},{135,0 +,22},{7,10,1763},{140,10,310},{5,0,639},{7,0,1249},{11,0,896},{134,11,584},{134, +0,1614},{135,0,860},{135,11,1121},{5,10,129},{6,10,61},{135,10,947},{4,0,102},{7 +,0,815},{7,0,1699},{139,0,964},{13,10,505},{141,10,506},{139,10,1000},{132,11, +679},{132,0,899},{132,0,569},{5,11,694},{137,11,714},{136,0,795},{6,0,2045},{139 +,11,7},{6,0,52},{9,0,104},{9,0,559},{12,0,308},{147,0,87},{4,0,301},{132,0,604}, +{133,10,637},{136,0,779},{5,11,143},{5,11,769},{6,11,1760},{7,11,682},{7,11,1992 +},{136,11,736},{137,10,590},{147,0,32},{137,11,527},{5,10,280},{135,10,1226},{ +134,0,494},{6,0,677},{6,0,682},{134,0,1044},{133,10,281},{135,10,1064},{7,0,508} +,{133,11,860},{6,11,422},{7,11,0},{7,11,1544},{9,11,577},{11,11,990},{12,11,141} +,{12,11,453},{13,11,47},{141,11,266},{134,0,1014},{5,11,515},{137,11,131},{134,0 +,957},{132,11,646},{6,0,310},{7,0,1849},{8,0,72},{8,0,272},{8,0,431},{9,0,12},{9 +,0,376},{10,0,563},{10,0,630},{10,0,796},{10,0,810},{11,0,367},{11,0,599},{11,0, +686},{140,0,672},{7,0,570},{4,11,396},{7,10,120},{7,11,728},{8,10,489},{9,11,117 +},{9,10,319},{10,10,820},{11,10,1004},{12,10,379},{12,10,679},{13,10,117},{13,11 +,202},{13,10,412},{14,10,25},{15,10,52},{15,10,161},{16,10,47},{20,11,51},{149, +10,2},{6,11,121},{6,11,124},{6,11,357},{7,11,1138},{7,11,1295},{8,11,162},{139, +11,655},{8,0,449},{4,10,937},{5,10,801},{136,11,449},{139,11,958},{6,0,181},{7,0 +,537},{8,0,64},{9,0,127},{10,0,496},{12,0,510},{141,0,384},{138,11,253},{4,0,244 +},{135,0,233},{133,11,237},{132,10,365},{6,0,1650},{10,0,702},{139,0,245},{5,10, +7},{139,10,774},{13,0,463},{20,0,49},{13,11,463},{148,11,49},{4,10,734},{5,10, +662},{134,10,430},{4,10,746},{135,10,1090},{5,10,360},{136,10,237},{137,0,338},{ +143,11,10},{7,11,571},{138,11,366},{134,0,1279},{9,11,513},{10,11,22},{10,11,39} +,{12,11,122},{140,11,187},{133,0,896},{146,0,178},{134,0,695},{137,0,808},{134, +11,587},{7,11,107},{7,11,838},{8,11,550},{138,11,401},{7,0,1117},{136,0,539},{4, +10,277},{5,10,608},{6,10,493},{7,10,457},{140,10,384},{133,11,768},{12,0,257},{7 +,10,27},{135,10,316},{140,0,1003},{4,0,207},{5,0,586},{5,0,676},{6,0,448},{8,0, +244},{11,0,1},{13,0,3},{16,0,54},{17,0,4},{18,0,13},{133,10,552},{4,10,401},{137 +,10,264},{5,0,516},{7,0,1883},{135,11,1883},{12,0,960},{132,11,894},{5,0,4},{5,0 +,810},{6,0,13},{6,0,538},{6,0,1690},{6,0,1726},{7,0,499},{7,0,1819},{8,0,148},{8 +,0,696},{8,0,791},{12,0,125},{143,0,9},{135,0,1268},{11,0,30},{14,0,315},{9,10, +543},{10,10,524},{12,10,524},{16,10,18},{20,10,26},{148,10,65},{6,0,748},{4,10, +205},{5,10,623},{7,10,104},{136,10,519},{11,0,542},{139,0,852},{140,0,6},{132,0, +848},{7,0,1385},{11,0,582},{11,0,650},{11,0,901},{11,0,949},{12,0,232},{12,0,236 +},{13,0,413},{13,0,501},{18,0,116},{7,10,579},{9,10,41},{9,10,244},{9,10,669},{ +10,10,5},{11,10,861},{11,10,951},{139,10,980},{4,0,945},{6,0,1811},{6,0,1845},{6 +,0,1853},{6,0,1858},{8,0,862},{12,0,782},{12,0,788},{18,0,160},{148,0,117},{132, +10,717},{4,0,925},{5,0,803},{8,0,698},{138,0,828},{134,0,1416},{132,0,610},{139, +0,992},{6,0,878},{134,0,1477},{135,0,1847},{138,11,531},{137,11,539},{134,11,272 +},{133,0,383},{134,0,1404},{132,10,489},{4,11,9},{5,11,128},{7,11,368},{11,11, +480},{148,11,3},{136,0,986},{9,0,660},{138,0,347},{135,10,892},{136,11,682},{7,0 +,572},{9,0,592},{11,0,680},{12,0,356},{140,0,550},{7,0,1411},{138,11,527},{4,11, +2},{7,11,545},{135,11,894},{137,10,473},{11,0,64},{7,11,481},{7,10,819},{9,10,26 +},{9,10,392},{9,11,792},{10,10,152},{10,10,226},{12,10,276},{12,10,426},{12,10, +589},{13,10,460},{15,10,97},{19,10,48},{148,10,104},{135,10,51},{136,11,445},{ +136,11,646},{135,0,606},{132,10,674},{6,0,1829},{134,0,1830},{132,10,770},{5,10, +79},{7,10,1027},{7,10,1477},{139,10,52},{5,11,530},{142,11,113},{134,10,1666},{7 +,0,748},{139,0,700},{134,10,195},{133,10,789},{9,0,87},{10,0,365},{4,10,251},{4, +10,688},{7,10,513},{135,10,1284},{136,11,111},{133,0,127},{6,0,198},{140,0,83},{ +133,11,556},{133,10,889},{4,10,160},{5,10,330},{7,10,1434},{136,10,174},{5,0,276 +},{6,0,55},{7,0,1369},{138,0,864},{8,11,16},{140,11,568},{6,0,1752},{136,0,726}, +{135,0,1066},{133,0,764},{6,11,186},{137,11,426},{11,0,683},{139,11,683},{6,0, +309},{7,0,331},{138,0,550},{133,10,374},{6,0,1212},{6,0,1852},{7,0,1062},{8,0, +874},{8,0,882},{138,0,936},{132,11,585},{134,0,1364},{7,0,986},{133,10,731},{6,0 +,723},{6,0,1408},{138,0,381},{135,0,1573},{134,0,1025},{4,10,626},{5,10,642},{6, +10,425},{10,10,202},{139,10,141},{4,11,93},{5,11,252},{6,11,229},{7,11,291},{9, +11,550},{139,11,644},{137,11,749},{137,11,162},{132,11,381},{135,0,1559},{6,0, +194},{7,0,133},{10,0,493},{10,0,570},{139,0,664},{5,0,24},{5,0,569},{6,0,3},{6,0 +,119},{6,0,143},{6,0,440},{7,0,295},{7,0,599},{7,0,1686},{7,0,1854},{8,0,424},{9 +,0,43},{9,0,584},{9,0,760},{10,0,148},{10,0,328},{11,0,159},{11,0,253},{11,0,506 +},{12,0,487},{140,0,531},{6,0,661},{134,0,1517},{136,10,835},{151,10,17},{5,0,14 +},{5,0,892},{6,0,283},{7,0,234},{136,0,537},{139,0,541},{4,0,126},{8,0,635},{147 +,0,34},{4,0,316},{4,0,495},{135,0,1561},{4,11,187},{5,11,184},{5,11,690},{7,11, +1869},{138,11,756},{139,11,783},{4,0,998},{137,0,861},{136,0,1009},{139,11,292}, +{5,11,21},{6,11,77},{6,11,157},{7,11,974},{7,11,1301},{7,11,1339},{7,11,1490},{7 +,11,1873},{137,11,628},{7,11,1283},{9,11,227},{9,11,499},{10,11,341},{11,11,325} +,{11,11,408},{14,11,180},{15,11,144},{18,11,47},{147,11,49},{4,0,64},{5,0,352},{ +5,0,720},{6,0,368},{139,0,359},{5,10,384},{8,10,455},{140,10,48},{5,10,264},{134 +,10,184},{7,0,1577},{10,0,304},{10,0,549},{12,0,365},{13,0,220},{13,0,240},{142, +0,33},{134,0,1107},{134,0,929},{135,0,1142},{6,0,175},{137,0,289},{5,0,432},{133 +,0,913},{6,0,279},{7,0,219},{5,10,633},{135,10,1323},{7,0,785},{7,10,359},{8,10, +243},{140,10,175},{139,0,595},{132,10,105},{8,11,398},{9,11,681},{139,11,632},{ +140,0,80},{5,0,931},{134,0,1698},{142,11,241},{134,11,20},{134,0,1323},{11,0,526 +},{11,0,939},{141,0,290},{5,0,774},{6,0,780},{6,0,1637},{6,0,1686},{6,0,1751},{8 +,0,559},{141,0,109},{141,0,127},{7,0,1167},{11,0,934},{13,0,391},{17,0,76},{135, +11,709},{135,0,963},{6,0,260},{135,0,1484},{134,0,573},{4,10,758},{139,11,941},{ +135,10,1649},{145,11,36},{4,0,292},{137,0,580},{4,0,736},{5,0,871},{6,0,1689},{ +135,0,1944},{7,11,945},{11,11,713},{139,11,744},{134,0,1164},{135,11,937},{6,0, +1922},{9,0,982},{15,0,173},{15,0,178},{15,0,200},{18,0,189},{18,0,207},{21,0,47} +,{135,11,1652},{7,0,1695},{139,10,128},{6,0,63},{135,0,920},{133,0,793},{143,11, +134},{133,10,918},{5,0,67},{6,0,62},{6,0,374},{135,0,1391},{9,0,790},{12,0,47},{ +4,11,579},{5,11,226},{5,11,323},{135,11,960},{10,11,784},{141,11,191},{4,0,391}, +{135,0,1169},{137,0,443},{13,11,232},{146,11,35},{132,10,340},{132,0,271},{137, +11,313},{5,11,973},{137,11,659},{134,0,1140},{6,11,135},{135,11,1176},{4,0,253}, +{5,0,544},{7,0,300},{137,0,340},{7,0,897},{5,10,985},{7,10,509},{145,10,96},{138 +,11,735},{135,10,1919},{138,0,890},{5,0,818},{134,0,1122},{5,0,53},{5,0,541},{6, +0,94},{6,0,499},{7,0,230},{139,0,321},{4,0,920},{5,0,25},{5,0,790},{6,0,457},{7, +0,853},{8,0,788},{142,11,31},{132,10,247},{135,11,314},{132,0,468},{7,0,243},{6, +10,337},{7,10,494},{8,10,27},{8,10,599},{138,10,153},{4,10,184},{5,10,390},{7,10 +,618},{7,10,1456},{139,10,710},{134,0,870},{134,0,1238},{134,0,1765},{10,0,853}, +{10,0,943},{14,0,437},{14,0,439},{14,0,443},{14,0,446},{14,0,452},{14,0,469},{14 +,0,471},{14,0,473},{16,0,93},{16,0,102},{16,0,110},{148,0,121},{4,0,605},{7,0, +518},{7,0,1282},{7,0,1918},{10,0,180},{139,0,218},{133,0,822},{4,0,634},{11,0, +916},{142,0,419},{6,11,281},{7,11,6},{8,11,282},{8,11,480},{8,11,499},{9,11,198} +,{10,11,143},{10,11,169},{10,11,211},{10,11,417},{10,11,574},{11,11,147},{11,11, +395},{12,11,75},{12,11,407},{12,11,608},{13,11,500},{142,11,251},{134,0,898},{6, +0,36},{7,0,658},{8,0,454},{150,11,48},{133,11,674},{135,11,1776},{4,11,419},{10, +10,227},{11,10,497},{11,10,709},{140,10,415},{6,10,360},{7,10,1664},{136,10,478} +,{137,0,806},{12,11,508},{14,11,102},{14,11,226},{144,11,57},{135,11,1123},{4,11 +,138},{7,11,1012},{7,11,1280},{137,11,76},{5,11,29},{140,11,638},{136,10,699},{ +134,0,1326},{132,0,104},{135,11,735},{132,10,739},{134,0,1331},{7,0,260},{135,11 +,260},{135,11,1063},{7,0,45},{9,0,542},{9,0,566},{10,0,728},{137,10,869},{4,10, +67},{5,10,422},{7,10,1037},{7,10,1289},{7,10,1555},{9,10,741},{145,10,108},{139, +0,263},{134,0,1516},{14,0,146},{15,0,42},{16,0,23},{17,0,86},{146,0,17},{138,0, +468},{136,0,1005},{4,11,17},{5,11,23},{7,11,995},{11,11,383},{11,11,437},{12,11, +460},{140,11,532},{7,0,87},{142,0,288},{138,10,96},{135,11,626},{144,10,26},{7,0 +,988},{7,0,1939},{9,0,64},{9,0,502},{12,0,22},{12,0,34},{13,0,12},{13,0,234},{ +147,0,77},{13,0,133},{8,10,203},{11,10,823},{11,10,846},{12,10,482},{13,10,277}, +{13,10,302},{13,10,464},{14,10,205},{142,10,221},{4,10,449},{133,10,718},{135,0, +141},{6,0,1842},{136,0,872},{8,11,70},{12,11,171},{141,11,272},{4,10,355},{6,10, +311},{9,10,256},{138,10,404},{132,0,619},{137,0,261},{10,11,233},{10,10,758},{ +139,11,76},{5,0,246},{8,0,189},{9,0,355},{9,0,512},{10,0,124},{10,0,453},{11,0, +143},{11,0,416},{11,0,859},{141,0,341},{134,11,442},{133,10,827},{5,10,64},{140, +10,581},{4,10,442},{7,10,1047},{7,10,1352},{135,10,1643},{134,11,1709},{5,0,678} +,{6,0,305},{7,0,775},{7,0,1065},{133,10,977},{11,11,69},{12,11,105},{12,11,117}, +{13,11,213},{14,11,13},{14,11,62},{14,11,177},{14,11,421},{15,11,19},{146,11,141 +},{137,11,309},{5,0,35},{7,0,862},{7,0,1886},{138,0,179},{136,0,285},{132,0,517} +,{7,11,976},{9,11,146},{10,11,206},{10,11,596},{13,11,218},{142,11,153},{132,10, +254},{6,0,214},{12,0,540},{4,10,275},{7,10,1219},{140,10,376},{8,0,667},{11,0, +403},{146,0,83},{12,0,74},{10,11,648},{11,11,671},{143,11,46},{135,0,125},{134, +10,1753},{133,0,761},{6,0,912},{4,11,518},{6,10,369},{6,10,502},{7,10,1036},{7, +11,1136},{8,10,348},{9,10,452},{10,10,26},{11,10,224},{11,10,387},{11,10,772},{ +12,10,95},{12,10,629},{13,10,195},{13,10,207},{13,10,241},{14,10,260},{14,10,270 +},{143,10,140},{10,0,131},{140,0,72},{132,10,269},{5,10,480},{7,10,532},{7,10, +1197},{7,10,1358},{8,10,291},{11,10,349},{142,10,396},{8,11,689},{137,11,863},{8 +,0,333},{138,0,182},{4,11,18},{7,11,145},{7,11,444},{7,11,1278},{8,11,49},{8,11, +400},{9,11,71},{9,11,250},{10,11,459},{12,11,160},{144,11,24},{14,11,35},{142,11 +,191},{135,11,1864},{135,0,1338},{148,10,15},{14,0,94},{15,0,65},{16,0,4},{16,0, +77},{16,0,80},{145,0,5},{12,11,82},{143,11,36},{133,11,1010},{133,0,449},{133,0, +646},{7,0,86},{8,0,103},{135,10,657},{7,0,2028},{138,0,641},{136,10,533},{134,0, +1},{139,11,970},{5,11,87},{7,11,313},{7,11,1103},{10,11,112},{10,11,582},{11,11, +389},{11,11,813},{12,11,385},{13,11,286},{14,11,124},{146,11,108},{6,0,869},{132 +,11,267},{6,0,277},{7,0,1274},{7,0,1386},{146,0,87},{6,0,187},{7,0,39},{7,0,1203 +},{8,0,380},{14,0,117},{149,0,28},{4,10,211},{4,10,332},{5,10,335},{6,10,238},{7 +,10,269},{7,10,811},{7,10,1797},{8,10,836},{9,10,507},{141,10,242},{4,0,785},{5, +0,368},{6,0,297},{7,0,793},{139,0,938},{7,0,464},{8,0,558},{11,0,105},{12,0,231} +,{14,0,386},{15,0,102},{148,0,75},{133,10,1009},{8,0,877},{140,0,731},{139,11, +289},{10,11,249},{139,11,209},{132,11,561},{134,0,1608},{132,11,760},{134,0,1429 +},{9,11,154},{140,11,485},{5,10,228},{6,10,203},{7,10,156},{8,10,347},{137,10, +265},{7,0,1010},{11,0,733},{11,0,759},{13,0,34},{14,0,427},{146,0,45},{7,10,1131 +},{135,10,1468},{136,11,255},{7,0,1656},{9,0,369},{10,0,338},{10,0,490},{11,0, +154},{11,0,545},{11,0,775},{13,0,77},{141,0,274},{133,11,621},{134,0,1038},{4,11 +,368},{135,11,641},{6,0,2010},{8,0,979},{8,0,985},{10,0,951},{138,0,1011},{134,0 +,1005},{19,0,121},{5,10,291},{5,10,318},{7,10,765},{9,10,389},{140,10,548},{5,0, +20},{6,0,298},{7,0,659},{137,0,219},{7,0,1440},{11,0,854},{11,0,872},{11,0,921}, +{12,0,551},{13,0,472},{142,0,367},{5,0,490},{6,0,615},{6,0,620},{135,0,683},{6,0 +,1070},{134,0,1597},{139,0,522},{132,0,439},{136,0,669},{6,0,766},{6,0,1143},{6, +0,1245},{10,10,525},{139,10,82},{9,11,92},{147,11,91},{6,0,668},{134,0,1218},{6, +11,525},{9,11,876},{140,11,284},{132,0,233},{136,0,547},{132,10,422},{5,10,355}, +{145,10,0},{6,11,300},{135,11,1515},{4,0,482},{137,10,905},{4,0,886},{7,0,346},{ +133,11,594},{133,10,865},{5,10,914},{134,10,1625},{135,0,334},{5,0,795},{6,0, +1741},{133,10,234},{135,10,1383},{6,11,1641},{136,11,820},{135,0,371},{7,11,1313 +},{138,11,660},{135,10,1312},{135,0,622},{7,0,625},{135,0,1750},{135,0,339},{4,0 +,203},{135,0,1936},{15,0,29},{16,0,38},{15,11,29},{144,11,38},{5,0,338},{135,0, +1256},{135,10,1493},{10,0,130},{6,10,421},{7,10,61},{7,10,1540},{138,10,501},{6, +11,389},{7,11,149},{9,11,142},{138,11,94},{137,10,341},{11,0,678},{12,0,307},{ +142,10,98},{6,11,8},{7,11,1881},{136,11,91},{135,0,2044},{6,0,770},{6,0,802},{6, +0,812},{7,0,311},{9,0,308},{12,0,255},{6,10,102},{7,10,72},{15,10,142},{147,10, +67},{151,10,30},{135,10,823},{135,0,1266},{135,11,1746},{135,10,1870},{4,0,400}, +{5,0,267},{135,0,232},{7,11,24},{11,11,542},{139,11,852},{135,11,1739},{4,11,503 +},{135,11,1661},{5,11,130},{7,11,1314},{9,11,610},{10,11,718},{11,11,601},{11,11 +,819},{11,11,946},{140,11,536},{10,11,149},{11,11,280},{142,11,336},{7,0,739},{ +11,0,690},{7,11,1946},{8,10,48},{8,10,88},{8,10,582},{8,10,681},{9,10,373},{9,10 +,864},{11,10,157},{11,10,843},{148,10,27},{134,0,990},{4,10,88},{5,10,137},{5,10 +,174},{5,10,777},{6,10,1664},{6,10,1725},{7,10,77},{7,10,426},{7,10,1317},{7,10, +1355},{8,10,126},{8,10,563},{9,10,523},{9,10,750},{10,10,310},{10,10,836},{11,10 +,42},{11,10,318},{11,10,731},{12,10,68},{12,10,92},{12,10,507},{12,10,692},{13, +10,81},{13,10,238},{13,10,374},{14,10,436},{18,10,138},{19,10,78},{19,10,111},{ +20,10,55},{20,10,77},{148,10,92},{141,10,418},{7,0,1831},{132,10,938},{6,0,776}, +{134,0,915},{138,10,351},{5,11,348},{6,11,522},{6,10,1668},{7,10,1499},{8,10,117 +},{9,10,314},{138,10,174},{135,10,707},{132,0,613},{133,10,403},{132,11,392},{5, +11,433},{9,11,633},{139,11,629},{133,0,763},{132,0,878},{132,0,977},{132,0,100}, +{6,0,463},{4,10,44},{5,10,311},{7,10,639},{7,10,762},{7,10,1827},{9,10,8},{9,10, +462},{148,10,83},{134,11,234},{4,10,346},{7,10,115},{9,10,180},{9,10,456},{138, +10,363},{5,0,362},{5,0,443},{6,0,318},{7,0,1019},{139,0,623},{5,0,463},{8,0,296} +,{7,11,140},{7,11,1950},{8,11,680},{11,11,817},{147,11,88},{7,11,1222},{138,11, +386},{142,0,137},{132,0,454},{7,0,1914},{6,11,5},{7,10,1051},{9,10,545},{11,11, +249},{12,11,313},{16,11,66},{145,11,26},{135,0,1527},{145,0,58},{148,11,59},{5,0 +,48},{5,0,404},{6,0,557},{7,0,458},{8,0,597},{10,0,455},{10,0,606},{11,0,49},{11 +,0,548},{12,0,476},{13,0,18},{141,0,450},{5,11,963},{134,11,1773},{133,0,729},{ +138,11,586},{5,0,442},{135,0,1984},{134,0,449},{144,0,40},{4,0,853},{7,11,180},{ +8,11,509},{136,11,792},{6,10,185},{7,10,1899},{9,10,875},{139,10,673},{134,11, +524},{12,0,227},{4,10,327},{5,10,478},{7,10,1332},{136,10,753},{6,0,1491},{5,10, +1020},{133,10,1022},{4,10,103},{133,10,401},{132,11,931},{4,10,499},{135,10,1421 +},{5,0,55},{7,0,376},{140,0,161},{133,0,450},{6,0,1174},{134,0,1562},{10,0,62},{ +13,0,400},{135,11,1837},{140,0,207},{135,0,869},{4,11,773},{5,11,618},{137,11, +756},{132,10,96},{4,0,213},{7,0,223},{8,0,80},{135,10,968},{4,11,90},{5,11,337}, +{5,11,545},{7,11,754},{9,11,186},{10,11,72},{10,11,782},{11,11,513},{11,11,577}, +{11,11,610},{11,11,889},{11,11,961},{12,11,354},{12,11,362},{12,11,461},{12,11, +595},{13,11,79},{143,11,121},{7,0,381},{7,0,806},{7,0,820},{8,0,354},{8,0,437},{ +8,0,787},{9,0,657},{10,0,58},{10,0,339},{10,0,749},{11,0,914},{12,0,162},{13,0, +75},{14,0,106},{14,0,198},{14,0,320},{14,0,413},{146,0,43},{136,0,747},{136,0, +954},{134,0,1073},{135,0,556},{7,11,151},{9,11,329},{139,11,254},{5,0,692},{134, +0,1395},{6,10,563},{137,10,224},{134,0,191},{132,0,804},{9,11,187},{10,11,36},{ +17,11,44},{146,11,64},{7,11,165},{7,11,919},{136,11,517},{4,11,506},{5,11,295},{ +7,11,1680},{15,11,14},{144,11,5},{4,0,706},{6,0,162},{7,0,1960},{136,0,831},{135 +,11,1376},{7,11,987},{9,11,688},{10,11,522},{11,11,788},{140,11,566},{150,0,35}, +{138,0,426},{135,0,1235},{135,11,1741},{7,11,389},{7,11,700},{7,11,940},{8,11, +514},{9,11,116},{9,11,535},{10,11,118},{11,11,107},{11,11,148},{11,11,922},{12, +11,254},{12,11,421},{142,11,238},{134,0,1234},{132,11,743},{4,10,910},{5,10,832} +,{135,11,1335},{141,0,96},{135,11,185},{146,0,149},{4,0,204},{137,0,902},{4,11, +784},{133,11,745},{136,0,833},{136,0,949},{7,0,366},{9,0,287},{12,0,199},{12,0, +556},{12,0,577},{5,11,81},{7,11,146},{7,11,1342},{7,11,1446},{8,11,53},{8,11,561 +},{8,11,694},{8,11,754},{9,11,97},{9,11,115},{9,11,894},{10,11,462},{10,11,813}, +{11,11,230},{11,11,657},{11,11,699},{11,11,748},{12,11,119},{12,11,200},{12,11, +283},{14,11,273},{145,11,15},{5,11,408},{137,11,747},{9,11,498},{140,11,181},{6, +0,2020},{136,0,992},{5,0,356},{135,0,224},{134,0,784},{7,0,630},{9,0,567},{11,0, +150},{11,0,444},{13,0,119},{8,10,528},{137,10,348},{134,0,539},{4,10,20},{133,10 +,616},{142,0,27},{7,11,30},{8,11,86},{8,11,315},{8,11,700},{9,11,576},{9,11,858} +,{11,11,310},{11,11,888},{11,11,904},{12,11,361},{141,11,248},{138,11,839},{134, +0,755},{134,0,1063},{7,10,1091},{135,10,1765},{134,11,428},{7,11,524},{8,11,169} +,{8,11,234},{9,11,480},{138,11,646},{139,0,814},{7,11,1462},{139,11,659},{4,10, +26},{5,10,429},{6,10,245},{7,10,704},{7,10,1379},{135,10,1474},{7,11,1205},{138, +11,637},{139,11,803},{132,10,621},{136,0,987},{4,11,266},{8,11,4},{9,11,39},{10, +11,166},{11,11,918},{12,11,635},{20,11,10},{22,11,27},{150,11,43},{4,0,235},{135 +,0,255},{4,0,194},{5,0,584},{6,0,384},{7,0,583},{10,0,761},{11,0,760},{139,0,851 +},{133,10,542},{134,0,1086},{133,10,868},{8,0,1016},{136,0,1018},{7,0,1396},{7, +11,1396},{136,10,433},{135,10,1495},{138,10,215},{141,10,124},{7,11,157},{8,11, +279},{9,11,759},{16,11,31},{16,11,39},{16,11,75},{18,11,24},{20,11,42},{152,11,1 +},{5,0,562},{134,11,604},{134,0,913},{5,0,191},{137,0,271},{4,0,470},{6,0,153},{ +7,0,1503},{7,0,1923},{10,0,701},{11,0,132},{11,0,227},{11,0,320},{11,0,436},{11, +0,525},{11,0,855},{11,0,873},{12,0,41},{12,0,286},{13,0,103},{13,0,284},{14,0, +255},{14,0,262},{15,0,117},{143,0,127},{7,0,475},{12,0,45},{147,10,112},{132,11, +567},{137,11,859},{6,0,713},{6,0,969},{6,0,1290},{134,0,1551},{133,0,327},{6,0, +552},{6,0,1292},{7,0,1754},{137,0,604},{4,0,223},{6,0,359},{11,0,3},{13,0,108},{ +14,0,89},{16,0,22},{5,11,762},{7,11,1880},{9,11,680},{139,11,798},{5,0,80},{6,0, +405},{7,0,403},{7,0,1502},{8,0,456},{9,0,487},{9,0,853},{9,0,889},{10,0,309},{11 +,0,721},{11,0,994},{12,0,430},{141,0,165},{133,11,298},{132,10,647},{134,0,2016} +,{18,10,10},{146,11,10},{4,0,453},{5,0,887},{6,0,535},{8,0,6},{8,0,543},{136,0, +826},{136,0,975},{10,0,961},{138,0,962},{138,10,220},{6,0,1891},{6,0,1893},{9,0, +916},{9,0,965},{9,0,972},{12,0,801},{12,0,859},{12,0,883},{15,0,226},{149,0,51}, +{132,10,109},{135,11,267},{7,11,92},{7,11,182},{8,11,453},{9,11,204},{11,11,950} +,{12,11,94},{12,11,644},{16,11,20},{16,11,70},{16,11,90},{147,11,55},{134,10, +1746},{6,11,71},{7,11,845},{7,11,1308},{8,11,160},{137,11,318},{5,0,101},{6,0,88 +},{7,0,263},{7,0,628},{7,0,1677},{8,0,349},{9,0,100},{10,0,677},{14,0,169},{14,0 +,302},{14,0,313},{15,0,48},{15,0,84},{7,11,237},{8,11,664},{9,11,42},{9,11,266}, +{9,11,380},{9,11,645},{10,11,177},{138,11,276},{138,11,69},{4,0,310},{7,0,708},{ +7,0,996},{9,0,795},{10,0,390},{10,0,733},{11,0,451},{12,0,249},{14,0,115},{14,0, +286},{143,0,100},{5,0,587},{4,10,40},{10,10,67},{11,10,117},{11,10,768},{139,10, +935},{6,0,1942},{7,0,512},{136,0,983},{7,10,992},{8,10,301},{9,10,722},{12,10,63 +},{13,10,29},{14,10,161},{143,10,18},{136,11,76},{139,10,923},{134,0,645},{134,0 +,851},{4,0,498},{132,11,293},{7,0,217},{8,0,140},{10,0,610},{14,11,352},{17,11, +53},{18,11,146},{18,11,152},{19,11,11},{150,11,54},{134,0,1448},{138,11,841},{ +133,0,905},{4,11,605},{7,11,518},{7,11,1282},{7,11,1918},{10,11,180},{139,11,218 +},{139,11,917},{135,10,825},{140,10,328},{4,0,456},{7,0,105},{7,0,358},{7,0,1637 +},{8,0,643},{139,0,483},{134,0,792},{6,11,96},{135,11,1426},{137,11,691},{4,11, +651},{133,11,289},{7,11,688},{8,11,35},{9,11,511},{10,11,767},{147,11,118},{150, +0,56},{5,0,243},{5,0,535},{6,10,204},{10,10,320},{10,10,583},{13,10,502},{14,10, +72},{14,10,274},{14,10,312},{14,10,344},{15,10,159},{16,10,62},{16,10,69},{17,10 +,30},{18,10,42},{18,10,53},{18,10,84},{18,10,140},{19,10,68},{19,10,85},{20,10,5 +},{20,10,45},{20,10,101},{22,10,7},{150,10,20},{4,10,558},{6,10,390},{7,10,162}, +{7,10,689},{9,10,360},{138,10,653},{146,11,23},{135,0,1748},{5,10,856},{6,10, +1672},{6,10,1757},{134,10,1781},{5,0,539},{5,0,754},{6,0,876},{132,11,704},{135, +11,1078},{5,10,92},{10,10,736},{140,10,102},{17,0,91},{5,10,590},{137,10,213},{ +134,0,1565},{6,0,91},{135,0,435},{4,0,939},{140,0,792},{134,0,1399},{4,0,16},{5, +0,316},{5,0,842},{6,0,370},{6,0,1778},{8,0,166},{11,0,812},{12,0,206},{12,0,351} +,{14,0,418},{16,0,15},{16,0,34},{18,0,3},{19,0,3},{19,0,7},{20,0,4},{21,0,21},{4 +,11,720},{133,11,306},{144,0,95},{133,11,431},{132,11,234},{135,0,551},{4,0,999} +,{6,0,1966},{134,0,2042},{7,0,619},{10,0,547},{11,0,122},{12,0,601},{15,0,7},{ +148,0,20},{5,11,464},{6,11,236},{7,11,276},{7,11,696},{7,11,914},{7,11,1108},{7, +11,1448},{9,11,15},{9,11,564},{10,11,14},{12,11,565},{13,11,449},{14,11,53},{15, +11,13},{16,11,64},{145,11,41},{6,0,884},{6,0,1019},{134,0,1150},{6,11,1767},{12, +11,194},{145,11,107},{136,10,503},{133,11,840},{7,0,671},{134,10,466},{132,0,888 +},{4,0,149},{138,0,368},{4,0,154},{7,0,1134},{136,0,105},{135,0,983},{9,11,642}, +{11,11,236},{142,11,193},{4,0,31},{6,0,429},{7,0,962},{9,0,458},{139,0,691},{6,0 +,643},{134,0,1102},{132,0,312},{4,11,68},{5,11,634},{6,11,386},{7,11,794},{8,11, +273},{9,11,563},{10,11,105},{10,11,171},{11,11,94},{139,11,354},{133,0,740},{135 +,0,1642},{4,11,95},{7,11,416},{8,11,211},{139,11,830},{132,0,236},{138,10,241},{ +7,11,731},{13,11,20},{143,11,11},{5,0,836},{5,0,857},{6,0,1680},{135,0,59},{10,0 +,68},{11,0,494},{152,11,6},{4,0,81},{139,0,867},{135,0,795},{133,11,689},{4,0, +1001},{5,0,282},{6,0,1932},{6,0,1977},{6,0,1987},{6,0,1992},{8,0,650},{8,0,919}, +{8,0,920},{8,0,923},{8,0,926},{8,0,927},{8,0,931},{8,0,939},{8,0,947},{8,0,956}, +{8,0,997},{9,0,907},{10,0,950},{10,0,953},{10,0,954},{10,0,956},{10,0,958},{10,0 +,959},{10,0,964},{10,0,970},{10,0,972},{10,0,973},{10,0,975},{10,0,976},{10,0, +980},{10,0,981},{10,0,984},{10,0,988},{10,0,990},{10,0,995},{10,0,999},{10,0, +1002},{10,0,1003},{10,0,1005},{10,0,1006},{10,0,1008},{10,0,1009},{10,0,1012},{ +10,0,1014},{10,0,1015},{10,0,1019},{10,0,1020},{10,0,1022},{12,0,959},{12,0,961} +,{12,0,962},{12,0,963},{12,0,964},{12,0,965},{12,0,967},{12,0,968},{12,0,969},{ +12,0,970},{12,0,971},{12,0,972},{12,0,973},{12,0,974},{12,0,975},{12,0,976},{12, +0,977},{12,0,979},{12,0,981},{12,0,982},{12,0,983},{12,0,984},{12,0,985},{12,0, +986},{12,0,987},{12,0,989},{12,0,990},{12,0,992},{12,0,993},{12,0,995},{12,0,998 +},{12,0,999},{12,0,1000},{12,0,1001},{12,0,1002},{12,0,1004},{12,0,1005},{12,0, +1006},{12,0,1007},{12,0,1008},{12,0,1009},{12,0,1010},{12,0,1011},{12,0,1012},{ +12,0,1014},{12,0,1015},{12,0,1016},{12,0,1017},{12,0,1018},{12,0,1019},{12,0, +1022},{12,0,1023},{14,0,475},{14,0,477},{14,0,478},{14,0,479},{14,0,480},{14,0, +482},{14,0,483},{14,0,484},{14,0,485},{14,0,486},{14,0,487},{14,0,488},{14,0,489 +},{14,0,490},{14,0,491},{14,0,492},{14,0,493},{14,0,494},{14,0,495},{14,0,496},{ +14,0,497},{14,0,498},{14,0,499},{14,0,500},{14,0,501},{14,0,502},{14,0,503},{14, +0,504},{14,0,506},{14,0,507},{14,0,508},{14,0,509},{14,0,510},{14,0,511},{16,0, +113},{16,0,114},{16,0,115},{16,0,117},{16,0,118},{16,0,119},{16,0,121},{16,0,122 +},{16,0,123},{16,0,124},{16,0,125},{16,0,126},{16,0,127},{18,0,242},{18,0,243},{ +18,0,244},{18,0,245},{18,0,248},{18,0,249},{18,0,250},{18,0,251},{18,0,252},{18, +0,253},{18,0,254},{18,0,255},{20,0,125},{20,0,126},{148,0,127},{7,11,1717},{7,11 +,1769},{138,11,546},{7,11,1127},{7,11,1572},{10,11,297},{10,11,422},{11,11,764}, +{11,11,810},{12,11,264},{13,11,102},{13,11,300},{13,11,484},{14,11,147},{14,11, +229},{17,11,71},{18,11,118},{147,11,120},{6,0,1148},{134,0,1586},{132,0,775},{ +135,10,954},{133,11,864},{133,11,928},{138,11,189},{135,10,1958},{6,10,549},{8, +10,34},{8,10,283},{9,10,165},{138,10,475},{5,10,652},{5,10,701},{135,10,449},{ +135,11,695},{4,10,655},{7,10,850},{17,10,75},{146,10,137},{140,11,682},{133,11, +523},{8,0,970},{136,10,670},{136,11,555},{7,11,76},{8,11,44},{9,11,884},{10,11, +580},{11,11,399},{11,11,894},{15,11,122},{18,11,144},{147,11,61},{6,10,159},{6, +10,364},{7,10,516},{7,10,1439},{137,10,518},{4,0,71},{5,0,376},{7,0,119},{138,0, +665},{141,10,151},{11,0,827},{14,0,34},{143,0,148},{133,11,518},{4,0,479},{135, +11,1787},{135,11,1852},{135,10,993},{7,0,607},{136,0,99},{134,0,1960},{132,0,793 +},{4,0,41},{5,0,74},{7,0,1627},{11,0,871},{140,0,619},{7,0,94},{11,0,329},{11,0, +965},{12,0,241},{14,0,354},{15,0,22},{148,0,63},{7,10,501},{9,10,111},{10,10,141 +},{11,10,332},{13,10,43},{13,10,429},{14,10,130},{14,10,415},{145,10,102},{9,0, +209},{137,0,300},{134,0,1497},{138,11,255},{4,11,934},{5,11,138},{136,11,610},{ +133,0,98},{6,0,1316},{10,11,804},{138,11,832},{8,11,96},{9,11,36},{10,11,607},{ +11,11,423},{11,11,442},{12,11,309},{14,11,199},{15,11,90},{145,11,110},{132,0, +463},{5,10,149},{136,10,233},{133,10,935},{4,11,652},{8,11,320},{9,11,13},{9,11, +398},{9,11,727},{10,11,75},{10,11,184},{10,11,230},{10,11,564},{10,11,569},{11, +11,973},{12,11,70},{12,11,189},{13,11,57},{13,11,257},{22,11,6},{150,11,16},{142 +,0,291},{12,10,582},{146,10,131},{136,10,801},{133,0,984},{145,11,116},{4,11,692 +},{133,11,321},{4,0,182},{6,0,205},{135,0,220},{4,0,42},{9,0,205},{9,0,786},{138 +,0,659},{6,0,801},{11,11,130},{140,11,609},{132,0,635},{5,11,345},{135,11,1016}, +{139,0,533},{132,0,371},{4,0,272},{135,0,836},{6,0,1282},{135,11,1100},{5,0,825} +,{134,0,1640},{135,11,1325},{133,11,673},{4,11,287},{133,11,1018},{135,0,357},{6 +,0,467},{137,0,879},{7,0,317},{135,0,569},{6,0,924},{134,0,1588},{5,11,34},{5,10 +,406},{10,11,724},{12,11,444},{13,11,354},{18,11,32},{23,11,24},{23,11,31},{152, +11,5},{6,0,1795},{6,0,1835},{6,0,1836},{6,0,1856},{8,0,844},{8,0,849},{8,0,854}, +{8,0,870},{8,0,887},{10,0,852},{138,0,942},{6,10,69},{135,10,117},{137,0,307},{4 +,0,944},{6,0,1799},{6,0,1825},{10,0,848},{10,0,875},{10,0,895},{10,0,899},{10,0, +902},{140,0,773},{11,0,43},{13,0,72},{141,0,142},{135,10,1830},{134,11,382},{4, +10,432},{135,10,824},{132,11,329},{7,0,1820},{139,11,124},{133,10,826},{133,0, +525},{132,11,906},{7,11,1940},{136,11,366},{138,11,10},{4,11,123},{4,11,649},{5, +11,605},{7,11,1509},{136,11,36},{6,0,110},{135,0,1681},{133,0,493},{133,11,767}, +{4,0,174},{135,0,911},{138,11,786},{8,0,417},{137,0,782},{133,10,1000},{7,0,733} +,{137,0,583},{4,10,297},{6,10,529},{7,10,152},{7,10,713},{7,10,1845},{8,10,710}, +{8,10,717},{12,10,639},{140,10,685},{4,0,32},{5,0,215},{6,0,269},{7,0,1782},{7,0 +,1892},{10,0,16},{11,0,822},{11,0,954},{141,0,481},{4,11,273},{5,11,658},{133,11 +,995},{136,0,477},{134,11,72},{135,11,1345},{5,0,308},{7,0,1088},{4,10,520},{135 +,10,575},{133,11,589},{5,0,126},{8,0,297},{9,0,366},{140,0,374},{7,0,1551},{139, +0,361},{5,11,117},{6,11,514},{6,11,541},{7,11,1164},{7,11,1436},{8,11,220},{8,11 +,648},{10,11,688},{139,11,560},{133,11,686},{4,0,946},{6,0,1807},{8,0,871},{10,0 +,854},{10,0,870},{10,0,888},{10,0,897},{10,0,920},{12,0,722},{12,0,761},{12,0, +763},{12,0,764},{14,0,454},{14,0,465},{16,0,107},{18,0,167},{18,0,168},{146,0, +172},{132,0,175},{135,0,1307},{132,0,685},{135,11,1834},{133,0,797},{6,0,745},{6 +,0,858},{134,0,963},{133,0,565},{5,10,397},{6,10,154},{7,11,196},{7,10,676},{8, +10,443},{8,10,609},{9,10,24},{9,10,325},{10,10,35},{10,11,765},{11,11,347},{11, +10,535},{11,11,552},{11,11,576},{11,10,672},{11,11,790},{11,10,1018},{12,11,263} +,{12,10,637},{13,11,246},{13,11,270},{13,11,395},{14,11,74},{14,11,176},{14,11, +190},{14,11,398},{14,11,412},{15,11,32},{15,11,63},{16,10,30},{16,11,88},{147,11 +,105},{13,11,84},{141,11,122},{4,0,252},{7,0,1068},{10,0,434},{11,0,228},{11,0, +426},{13,0,231},{18,0,106},{148,0,87},{137,0,826},{4,11,589},{139,11,282},{5,11, +381},{135,11,1792},{132,0,791},{5,0,231},{10,0,509},{133,10,981},{7,0,601},{9,0, +277},{9,0,674},{10,0,178},{10,0,418},{10,0,571},{11,0,531},{12,0,113},{12,0,475} +,{13,0,99},{142,0,428},{4,10,56},{7,11,616},{7,10,1791},{8,10,607},{8,10,651},{ +10,11,413},{11,10,465},{11,10,835},{12,10,337},{141,10,480},{7,0,1591},{144,0,43 +},{9,10,158},{138,10,411},{135,0,1683},{8,0,289},{11,0,45},{12,0,278},{140,0,537 +},{6,11,120},{7,11,1188},{7,11,1710},{8,11,286},{9,11,667},{11,11,592},{139,11, +730},{136,10,617},{135,0,1120},{135,11,1146},{139,10,563},{4,11,352},{4,10,369}, +{135,11,687},{143,11,38},{4,0,399},{5,0,119},{5,0,494},{7,0,751},{9,0,556},{14, +11,179},{15,11,151},{150,11,11},{4,11,192},{5,11,49},{6,11,200},{6,11,293},{6,11 +,1696},{135,11,488},{4,0,398},{133,0,660},{7,0,1030},{134,10,622},{135,11,595},{ +141,0,168},{132,11,147},{7,0,973},{10,10,624},{142,10,279},{132,10,363},{132,0, +642},{133,11,934},{134,0,1615},{7,11,505},{135,11,523},{7,0,594},{7,0,851},{7,0, +1858},{9,0,411},{9,0,574},{9,0,666},{9,0,737},{10,0,346},{10,0,712},{11,0,246},{ +11,0,432},{11,0,517},{11,0,647},{11,0,679},{11,0,727},{12,0,304},{12,0,305},{12, +0,323},{12,0,483},{12,0,572},{12,0,593},{12,0,602},{13,0,95},{13,0,101},{13,0, +171},{13,0,315},{13,0,378},{13,0,425},{13,0,475},{14,0,63},{14,0,380},{14,0,384} +,{15,0,133},{18,0,112},{148,0,72},{135,0,1093},{132,0,679},{8,0,913},{10,0,903}, +{10,0,915},{12,0,648},{12,0,649},{14,0,455},{16,0,112},{138,11,438},{137,0,203}, +{134,10,292},{134,0,1492},{7,0,1374},{8,0,540},{5,10,177},{6,10,616},{7,10,827}, +{9,10,525},{138,10,656},{135,0,1486},{9,0,714},{138,10,31},{136,0,825},{134,0, +1511},{132,11,637},{134,0,952},{4,10,161},{133,10,631},{5,0,143},{5,0,769},{6,0, +1760},{7,0,682},{7,0,1992},{136,0,736},{132,0,700},{134,0,1540},{132,11,777},{9, +11,867},{138,11,837},{7,0,1557},{135,10,1684},{133,0,860},{6,0,422},{7,0,0},{7,0 +,1544},{9,0,605},{11,0,990},{12,0,235},{12,0,453},{13,0,47},{13,0,266},{9,10,469 +},{9,10,709},{12,10,512},{14,10,65},{145,10,12},{11,0,807},{10,10,229},{11,10,73 +},{139,10,376},{6,11,170},{7,11,1080},{8,11,395},{8,11,487},{11,11,125},{141,11, +147},{5,0,515},{137,0,131},{7,0,1605},{11,0,962},{146,0,139},{132,0,646},{4,0, +396},{7,0,728},{9,0,117},{13,0,202},{148,0,51},{6,0,121},{6,0,124},{6,0,357},{7, +0,1138},{7,0,1295},{8,0,162},{8,0,508},{11,0,655},{4,11,535},{6,10,558},{7,10, +651},{8,11,618},{9,10,0},{10,10,34},{139,10,1008},{135,11,1245},{138,0,357},{150 +,11,23},{133,0,237},{135,0,1784},{7,10,1832},{138,10,374},{132,0,713},{132,11,46 +},{6,0,1536},{10,0,348},{5,11,811},{6,11,1679},{6,11,1714},{135,11,2032},{11,11, +182},{142,11,195},{6,0,523},{7,0,738},{7,10,771},{7,10,1731},{9,10,405},{138,10, +421},{7,11,1458},{9,11,407},{139,11,15},{6,11,34},{7,11,69},{7,11,640},{7,11, +1089},{8,11,708},{8,11,721},{9,11,363},{9,11,643},{10,11,628},{148,11,98},{133,0 +,434},{135,0,1877},{7,0,571},{138,0,366},{5,10,881},{133,10,885},{9,0,513},{10,0 +,25},{10,0,39},{12,0,122},{140,0,187},{132,0,580},{5,10,142},{134,10,546},{132, +11,462},{137,0,873},{5,10,466},{11,10,571},{12,10,198},{13,10,283},{14,10,186},{ +15,10,21},{143,10,103},{7,0,171},{4,10,185},{5,10,257},{5,10,839},{5,10,936},{9, +10,399},{10,10,258},{10,10,395},{10,10,734},{11,10,1014},{12,10,23},{13,10,350}, +{14,10,150},{147,10,6},{134,0,625},{7,0,107},{7,0,838},{8,0,550},{138,0,401},{5, +11,73},{6,11,23},{134,11,338},{4,0,943},{6,0,1850},{12,0,713},{142,0,434},{11,0, +588},{11,0,864},{11,0,936},{11,0,968},{12,0,73},{12,0,343},{12,0,394},{13,0,275} +,{14,0,257},{15,0,160},{7,10,404},{7,10,1377},{7,10,1430},{7,10,2017},{8,10,149} +,{8,10,239},{8,10,512},{8,10,793},{8,10,818},{9,10,474},{9,10,595},{10,10,122},{ +10,10,565},{10,10,649},{10,10,783},{11,10,239},{11,10,295},{11,10,447},{11,10, +528},{11,10,639},{11,10,800},{12,10,25},{12,10,157},{12,10,316},{12,10,390},{12, +10,391},{12,10,395},{12,10,478},{12,10,503},{12,10,592},{12,10,680},{13,10,50},{ +13,10,53},{13,10,132},{13,10,198},{13,10,322},{13,10,415},{13,10,511},{14,10,71} +,{14,10,395},{15,10,71},{15,10,136},{17,10,123},{18,10,93},{147,10,58},{133,0, +768},{11,0,103},{142,0,0},{136,10,712},{132,0,799},{132,0,894},{7,11,725},{8,11, +498},{139,11,268},{135,11,1798},{135,11,773},{141,11,360},{4,10,377},{152,10,13} +,{135,0,1673},{132,11,583},{134,0,1052},{133,11,220},{140,11,69},{132,11,544},{4 +,10,180},{135,10,1906},{134,0,272},{4,0,441},{134,0,1421},{4,0,9},{5,0,128},{7,0 +,368},{11,0,480},{148,0,3},{5,11,176},{6,11,437},{6,11,564},{11,11,181},{141,11, +183},{132,10,491},{7,0,1182},{141,11,67},{6,0,1346},{4,10,171},{138,10,234},{4, +10,586},{7,10,1186},{138,10,631},{136,0,682},{134,0,1004},{15,0,24},{143,11,24}, +{134,0,968},{4,0,2},{6,0,742},{6,0,793},{7,0,545},{7,0,894},{9,10,931},{10,10, +334},{148,10,71},{136,11,600},{133,10,765},{9,0,769},{140,0,185},{4,11,790},{5, +11,273},{134,11,394},{7,0,474},{137,0,578},{4,11,135},{6,11,127},{7,11,1185},{7, +11,1511},{8,11,613},{11,11,5},{12,11,133},{12,11,495},{12,11,586},{14,11,385},{ +15,11,118},{17,11,20},{146,11,98},{133,10,424},{5,0,530},{142,0,113},{6,11,230}, +{7,11,961},{7,11,1085},{136,11,462},{7,11,1954},{137,11,636},{136,10,714},{149, +11,6},{135,10,685},{9,10,420},{10,10,269},{10,10,285},{10,10,576},{11,10,397},{ +13,10,175},{145,10,90},{132,10,429},{5,0,556},{5,11,162},{136,11,68},{132,11,654 +},{4,11,156},{7,11,998},{7,11,1045},{7,11,1860},{9,11,48},{9,11,692},{11,11,419} +,{139,11,602},{6,0,1317},{8,0,16},{9,0,825},{12,0,568},{7,11,1276},{8,11,474},{ +137,11,652},{18,0,97},{7,10,18},{7,10,699},{7,10,1966},{8,10,752},{9,10,273},{9, +10,412},{9,10,703},{10,10,71},{10,10,427},{138,10,508},{10,0,703},{7,11,1454},{ +138,11,703},{4,10,53},{5,10,186},{135,10,752},{134,0,892},{134,0,1571},{8,10,575 +},{10,10,289},{139,10,319},{6,0,186},{137,0,426},{134,0,1101},{132,10,675},{132, +0,585},{6,0,1870},{137,0,937},{152,11,10},{9,11,197},{10,11,300},{12,11,473},{13 +,11,90},{141,11,405},{4,0,93},{5,0,252},{6,0,229},{7,0,291},{9,0,550},{139,0,644 +},{137,0,749},{9,0,162},{6,10,209},{8,10,468},{9,10,210},{11,10,36},{12,10,28},{ +12,10,630},{13,10,21},{13,10,349},{14,10,7},{145,10,13},{132,0,381},{132,11,606} +,{4,10,342},{135,10,1179},{7,11,1587},{7,11,1707},{10,11,528},{139,11,504},{12, +11,39},{13,11,265},{141,11,439},{4,10,928},{133,10,910},{7,10,1838},{7,11,1978}, +{136,11,676},{6,0,762},{6,0,796},{134,0,956},{4,10,318},{4,10,496},{7,10,856},{ +139,10,654},{137,11,242},{4,11,361},{133,11,315},{132,11,461},{132,11,472},{132, +0,857},{5,0,21},{6,0,77},{6,0,157},{7,0,974},{7,0,1301},{7,0,1339},{7,0,1490},{7 +,0,1873},{9,0,628},{7,10,915},{8,10,247},{147,10,0},{4,10,202},{5,10,382},{6,10, +454},{7,10,936},{7,10,1803},{8,10,758},{9,10,375},{9,10,895},{10,10,743},{10,10, +792},{11,10,978},{11,10,1012},{142,10,109},{7,11,617},{10,11,498},{11,11,501},{ +12,11,16},{140,11,150},{7,10,1150},{7,10,1425},{7,10,1453},{10,11,747},{140,10, +513},{133,11,155},{11,0,919},{141,0,409},{138,10,791},{10,0,633},{139,11,729},{7 +,11,163},{8,11,319},{9,11,402},{10,11,24},{10,11,681},{11,11,200},{11,11,567},{ +12,11,253},{12,11,410},{142,11,219},{5,11,475},{7,11,1780},{9,11,230},{11,11,297 +},{11,11,558},{14,11,322},{147,11,76},{7,0,332},{6,10,445},{137,10,909},{135,11, +1956},{136,11,274},{134,10,578},{135,0,1489},{135,11,1848},{5,11,944},{134,11, +1769},{132,11,144},{136,10,766},{4,0,832},{135,10,541},{8,0,398},{9,0,681},{139, +0,632},{136,0,645},{9,0,791},{10,0,93},{16,0,13},{17,0,23},{18,0,135},{19,0,12}, +{20,0,1},{20,0,12},{148,0,14},{6,11,247},{137,11,555},{134,0,20},{132,0,800},{ +135,0,1841},{139,10,983},{137,10,768},{132,10,584},{141,11,51},{6,0,1993},{4,11, +620},{138,11,280},{136,0,769},{11,0,290},{11,0,665},{7,11,1810},{11,11,866},{12, +11,103},{13,11,495},{17,11,67},{147,11,74},{134,0,1426},{139,0,60},{4,10,326},{ +135,10,1770},{7,0,1874},{9,0,641},{132,10,226},{6,0,644},{5,10,426},{8,10,30},{9 +,10,2},{11,10,549},{147,10,122},{5,11,428},{138,11,442},{135,11,1871},{135,0, +1757},{147,10,117},{135,0,937},{135,0,1652},{6,0,654},{134,0,1476},{133,11,99},{ +135,0,527},{132,10,345},{4,10,385},{4,11,397},{7,10,265},{135,10,587},{4,0,579}, +{5,0,226},{5,0,323},{135,0,960},{134,0,1486},{8,11,502},{144,11,9},{4,10,347},{5 +,10,423},{5,10,996},{135,10,1329},{7,11,727},{146,11,73},{4,11,485},{7,11,353},{ +7,10,1259},{7,11,1523},{9,10,125},{139,10,65},{6,0,325},{5,10,136},{6,11,366},{7 +,11,1384},{7,11,1601},{136,10,644},{138,11,160},{6,0,1345},{137,11,282},{18,0,91 +},{147,0,70},{136,0,404},{4,11,157},{133,11,471},{133,0,973},{6,0,135},{135,0, +1176},{8,11,116},{11,11,551},{142,11,159},{4,0,549},{4,10,433},{133,10,719},{136 +,0,976},{5,11,160},{7,11,363},{7,11,589},{10,11,170},{141,11,55},{144,0,21},{144 +,0,51},{135,0,314},{135,10,1363},{4,11,108},{7,11,405},{10,11,491},{139,11,498}, +{146,0,4},{4,10,555},{8,10,536},{10,10,288},{139,10,1005},{135,11,1005},{6,0,281 +},{7,0,6},{8,0,282},{8,0,480},{8,0,499},{9,0,198},{10,0,143},{10,0,169},{10,0, +211},{10,0,417},{10,0,574},{11,0,147},{11,0,395},{12,0,75},{12,0,407},{12,0,608} +,{13,0,500},{142,0,251},{6,0,1093},{6,0,1405},{9,10,370},{138,10,90},{4,11,926}, +{133,11,983},{135,0,1776},{134,0,1528},{132,0,419},{132,11,538},{6,11,294},{7,11 +,1267},{136,11,624},{135,11,1772},{138,11,301},{4,10,257},{135,10,2031},{4,0,138 +},{7,0,1012},{7,0,1280},{9,0,76},{135,10,1768},{132,11,757},{5,0,29},{140,0,638} +,{7,11,655},{135,11,1844},{7,0,1418},{6,11,257},{135,11,1522},{8,11,469},{138,11 +,47},{142,11,278},{6,10,83},{6,10,1733},{135,10,1389},{11,11,204},{11,11,243},{ +140,11,293},{135,11,1875},{6,0,1710},{135,0,2038},{137,11,299},{4,0,17},{5,0,23} +,{7,0,995},{11,0,383},{11,0,437},{12,0,460},{140,0,532},{133,0,862},{137,10,696} +,{6,0,592},{138,0,946},{138,11,599},{7,10,1718},{9,10,95},{9,10,274},{10,10,279} +,{10,10,317},{10,10,420},{11,10,303},{11,10,808},{12,10,134},{12,10,367},{13,10, +149},{13,10,347},{14,10,349},{14,10,406},{18,10,22},{18,10,89},{18,10,122},{147, +10,47},{8,0,70},{12,0,171},{141,0,272},{133,10,26},{132,10,550},{137,0,812},{10, +0,233},{139,0,76},{134,0,988},{134,0,442},{136,10,822},{7,0,896},{4,10,902},{5, +10,809},{134,10,122},{5,11,150},{7,11,106},{8,11,603},{9,11,593},{9,11,634},{10, +11,44},{10,11,173},{11,11,462},{11,11,515},{13,11,216},{13,11,288},{142,11,400}, +{136,0,483},{135,10,262},{6,0,1709},{133,10,620},{4,10,34},{5,10,574},{7,10,279} +,{7,10,1624},{136,10,601},{137,10,170},{147,0,119},{12,11,108},{141,11,291},{11, +0,69},{12,0,105},{12,0,117},{13,0,213},{14,0,13},{14,0,62},{14,0,177},{14,0,421} +,{15,0,19},{146,0,141},{137,0,309},{11,11,278},{142,11,73},{7,0,608},{7,0,976},{ +9,0,146},{10,0,206},{10,0,596},{13,0,218},{142,0,153},{133,10,332},{6,10,261},{8 +,10,182},{139,10,943},{4,11,493},{144,11,55},{134,10,1721},{132,0,768},{4,10,933 +},{133,10,880},{7,11,555},{7,11,1316},{7,11,1412},{7,11,1839},{9,11,192},{9,11, +589},{11,11,241},{11,11,676},{11,11,811},{11,11,891},{12,11,140},{12,11,346},{12 +,11,479},{13,11,30},{13,11,49},{13,11,381},{14,11,188},{15,11,150},{16,11,76},{ +18,11,30},{148,11,52},{4,0,518},{135,0,1136},{6,11,568},{7,11,112},{7,11,1804},{ +8,11,362},{8,11,410},{8,11,830},{9,11,514},{11,11,649},{142,11,157},{135,11,673} +,{8,0,689},{137,0,863},{4,0,18},{7,0,145},{7,0,444},{7,0,1278},{8,0,49},{8,0,400 +},{9,0,71},{9,0,250},{10,0,459},{12,0,160},{16,0,24},{132,11,625},{140,0,1020},{ +4,0,997},{6,0,1946},{6,0,1984},{134,0,1998},{6,11,16},{6,11,158},{7,11,43},{7,11 +,129},{7,11,181},{8,11,276},{8,11,377},{10,11,523},{11,11,816},{12,11,455},{13, +11,303},{142,11,135},{133,10,812},{134,0,658},{4,11,1},{7,11,1143},{7,11,1463},{ +8,11,61},{9,11,207},{9,11,390},{9,11,467},{139,11,836},{150,11,26},{140,0,106},{ +6,0,1827},{10,0,931},{18,0,166},{20,0,114},{4,10,137},{7,10,1178},{7,11,1319},{ +135,10,1520},{133,0,1010},{4,11,723},{5,11,895},{7,11,1031},{8,11,199},{8,11,340 +},{9,11,153},{9,11,215},{10,11,21},{10,11,59},{10,11,80},{10,11,224},{11,11,229} +,{11,11,652},{12,11,192},{13,11,146},{142,11,91},{132,11,295},{6,11,619},{7,11, +898},{7,11,1092},{8,11,485},{18,11,28},{147,11,116},{137,11,51},{6,10,1661},{7, +10,1975},{7,10,2009},{135,10,2011},{5,11,309},{140,11,211},{5,0,87},{7,0,313},{7 +,0,1103},{10,0,208},{10,0,582},{11,0,389},{11,0,813},{12,0,385},{13,0,286},{14,0 +,124},{146,0,108},{5,11,125},{8,11,77},{138,11,15},{132,0,267},{133,0,703},{137, +11,155},{133,11,439},{11,11,164},{140,11,76},{9,0,496},{5,10,89},{7,10,1915},{9, +10,185},{9,10,235},{10,10,64},{10,10,270},{10,10,403},{10,10,469},{10,10,529},{ +10,10,590},{11,10,140},{11,10,860},{13,10,1},{13,10,422},{14,10,341},{14,10,364} +,{17,10,93},{18,10,113},{19,10,97},{147,10,113},{133,10,695},{135,0,1121},{5,10, +6},{6,10,183},{7,10,680},{7,10,978},{7,10,1013},{7,10,1055},{12,10,230},{13,10, +172},{146,10,29},{4,11,8},{7,11,1152},{7,11,1153},{7,11,1715},{9,11,374},{10,11, +478},{139,11,648},{135,11,1099},{6,10,29},{139,10,63},{4,0,561},{10,0,249},{139, +0,209},{132,0,760},{7,11,799},{138,11,511},{136,11,87},{9,0,154},{140,0,485},{ +136,0,255},{132,0,323},{140,0,419},{132,10,311},{134,10,1740},{4,0,368},{135,0, +641},{7,10,170},{8,10,90},{8,10,177},{8,10,415},{11,10,714},{142,10,281},{4,11, +69},{5,11,122},{9,11,656},{138,11,464},{5,11,849},{134,11,1633},{8,0,522},{142,0 +,328},{11,10,91},{13,10,129},{15,10,101},{145,10,125},{7,0,562},{8,0,551},{4,10, +494},{6,10,74},{7,10,44},{11,11,499},{12,10,17},{15,10,5},{148,10,11},{4,10,276} +,{133,10,296},{9,0,92},{147,0,91},{4,10,7},{5,10,90},{5,10,158},{6,10,542},{7,10 +,221},{7,10,1574},{9,10,490},{10,10,540},{11,10,443},{139,10,757},{6,0,525},{6,0 +,1976},{8,0,806},{9,0,876},{140,0,284},{5,11,859},{7,10,588},{7,11,1160},{8,11, +107},{9,10,175},{9,11,291},{9,11,439},{10,10,530},{10,11,663},{11,11,609},{140, +11,197},{7,11,168},{13,11,196},{141,11,237},{139,0,958},{133,0,594},{135,10,580} +,{7,10,88},{136,10,627},{6,0,479},{6,0,562},{7,0,1060},{13,0,6},{5,10,872},{6,10 +,57},{7,10,471},{9,10,447},{137,10,454},{136,11,413},{145,11,19},{4,11,117},{6, +11,372},{7,11,1905},{142,11,323},{4,11,722},{139,11,471},{17,0,61},{5,10,31},{ +134,10,614},{8,10,330},{140,10,477},{7,10,1200},{138,10,460},{6,10,424},{135,10, +1866},{6,0,1641},{136,0,820},{6,0,1556},{134,0,1618},{9,11,5},{12,11,216},{12,11 +,294},{12,11,298},{12,11,400},{12,11,518},{13,11,229},{143,11,139},{15,11,155},{ +144,11,79},{4,0,302},{135,0,1766},{5,10,13},{134,10,142},{6,0,148},{7,0,1313},{7 +,10,116},{8,10,322},{8,10,755},{9,10,548},{10,10,714},{11,10,884},{141,10,324},{ +137,0,676},{9,11,88},{139,11,270},{5,11,12},{7,11,375},{137,11,438},{134,0,1674} +,{7,10,1472},{135,10,1554},{11,0,178},{7,10,1071},{7,10,1541},{7,10,1767},{7,10, +1806},{11,10,162},{11,10,242},{12,10,605},{15,10,26},{144,10,44},{6,0,389},{7,0, +149},{9,0,142},{138,0,94},{140,11,71},{145,10,115},{6,0,8},{7,0,1881},{8,0,91},{ +11,11,966},{12,11,287},{13,11,342},{13,11,402},{15,11,110},{143,11,163},{4,11, +258},{136,11,639},{6,11,22},{7,11,903},{138,11,577},{133,11,681},{135,10,1111},{ +135,11,1286},{9,0,112},{8,10,1},{138,10,326},{5,10,488},{6,10,527},{7,10,489},{7 +,10,1636},{8,10,121},{8,10,144},{8,10,359},{9,10,193},{9,10,241},{9,10,336},{9, +10,882},{11,10,266},{11,10,372},{11,10,944},{12,10,401},{140,10,641},{4,11,664}, +{133,11,804},{6,0,747},{134,0,1015},{135,0,1746},{9,10,31},{10,10,244},{10,10, +699},{12,10,149},{141,10,497},{133,10,377},{135,0,24},{6,0,1352},{5,11,32},{145, +10,101},{7,0,1530},{10,0,158},{13,0,13},{13,0,137},{13,0,258},{14,0,111},{14,0, +225},{14,0,253},{14,0,304},{14,0,339},{14,0,417},{146,0,33},{4,0,503},{135,0, +1661},{5,0,130},{6,0,845},{7,0,1314},{9,0,610},{10,0,718},{11,0,601},{11,0,819}, +{11,0,946},{140,0,536},{10,0,149},{11,0,280},{142,0,336},{134,0,1401},{135,0, +1946},{8,0,663},{144,0,8},{134,0,1607},{135,10,2023},{4,11,289},{7,11,629},{7,11 +,1698},{7,11,1711},{140,11,215},{6,11,450},{136,11,109},{10,0,882},{10,0,883},{ +10,0,914},{138,0,928},{133,10,843},{136,11,705},{132,10,554},{133,10,536},{5,0, +417},{9,10,79},{11,10,625},{145,10,7},{7,11,1238},{142,11,37},{4,0,392},{135,0, +1597},{5,0,433},{9,0,633},{11,0,629},{132,10,424},{7,10,336},{136,10,785},{134, +11,355},{6,0,234},{7,0,769},{9,0,18},{138,0,358},{4,10,896},{134,10,1777},{138, +11,323},{7,0,140},{7,0,1950},{8,0,680},{11,0,817},{147,0,88},{7,0,1222},{138,0, +386},{139,11,908},{11,0,249},{12,0,313},{16,0,66},{145,0,26},{134,0,5},{7,10,750 +},{9,10,223},{11,10,27},{11,10,466},{12,10,624},{14,10,265},{146,10,61},{134,11, +26},{134,0,1216},{5,0,963},{134,0,1773},{4,11,414},{5,11,467},{9,11,654},{10,11, +451},{12,11,59},{141,11,375},{135,11,17},{4,10,603},{133,10,661},{4,10,11},{6,10 +,128},{7,10,231},{7,10,1533},{138,10,725},{135,11,955},{7,0,180},{8,0,509},{136, +0,792},{132,10,476},{132,0,1002},{133,11,538},{135,10,1807},{132,0,931},{7,0,943 +},{11,0,614},{140,0,747},{135,0,1837},{9,10,20},{10,10,324},{10,10,807},{139,10, +488},{134,0,641},{6,11,280},{10,11,502},{11,11,344},{140,11,38},{5,11,45},{7,11, +1161},{11,11,448},{11,11,880},{13,11,139},{13,11,407},{15,11,16},{17,11,95},{18, +11,66},{18,11,88},{18,11,123},{149,11,7},{9,0,280},{138,0,134},{22,0,22},{23,0,5 +},{151,0,29},{136,11,777},{4,0,90},{5,0,545},{7,0,754},{9,0,186},{10,0,72},{10,0 +,782},{11,0,577},{11,0,610},{11,0,960},{12,0,354},{12,0,362},{12,0,595},{4,11, +410},{135,11,521},{135,11,1778},{5,10,112},{6,10,103},{134,10,150},{138,10,356}, +{132,0,742},{7,0,151},{9,0,329},{139,0,254},{8,0,853},{8,0,881},{8,0,911},{8,0, +912},{10,0,872},{12,0,741},{12,0,742},{152,0,18},{4,11,573},{136,11,655},{6,0, +921},{134,0,934},{9,0,187},{10,0,36},{11,0,1016},{17,0,44},{146,0,64},{7,0,833}, +{136,0,517},{4,0,506},{5,0,295},{135,0,1680},{4,10,708},{8,10,15},{9,10,50},{9, +10,386},{11,10,18},{11,10,529},{140,10,228},{7,0,251},{7,0,1701},{8,0,436},{4,10 +,563},{7,10,592},{7,10,637},{7,10,770},{8,10,463},{9,10,60},{9,10,335},{9,10,904 +},{10,10,73},{11,10,434},{12,10,585},{13,10,331},{18,10,110},{148,10,60},{132,10 +,502},{136,0,584},{6,10,347},{138,10,161},{7,0,987},{9,0,688},{10,0,522},{11,0, +788},{12,0,137},{12,0,566},{14,0,9},{14,0,24},{14,0,64},{7,11,899},{142,11,325}, +{4,0,214},{5,0,500},{5,10,102},{6,10,284},{7,10,1079},{7,10,1423},{7,10,1702},{8 +,10,470},{9,10,554},{9,10,723},{139,10,333},{7,10,246},{135,10,840},{6,10,10},{8 +,10,571},{9,10,739},{143,10,91},{133,10,626},{146,0,195},{134,0,1775},{7,0,389}, +{7,0,700},{7,0,940},{8,0,514},{9,0,116},{9,0,535},{10,0,118},{11,0,107},{11,0, +148},{11,0,922},{12,0,254},{12,0,421},{142,0,238},{5,10,18},{6,10,526},{13,10,24 +},{13,10,110},{19,10,5},{147,10,44},{132,0,743},{11,0,292},{4,10,309},{5,10,462} +,{7,10,970},{135,10,1097},{22,10,30},{150,10,33},{139,11,338},{135,11,1598},{7,0 +,1283},{9,0,227},{11,0,325},{11,0,408},{14,0,180},{146,0,47},{4,0,953},{6,0,1805 +},{6,0,1814},{6,0,1862},{140,0,774},{6,11,611},{135,11,1733},{135,11,1464},{5,0, +81},{7,0,146},{7,0,1342},{8,0,53},{8,0,561},{8,0,694},{8,0,754},{9,0,115},{9,0, +179},{9,0,894},{10,0,462},{10,0,813},{11,0,230},{11,0,657},{11,0,699},{11,0,748} +,{12,0,119},{12,0,200},{12,0,283},{142,0,273},{5,0,408},{6,0,789},{6,0,877},{6,0 +,1253},{6,0,1413},{137,0,747},{134,10,1704},{135,11,663},{6,0,1910},{6,0,1915},{ +6,0,1923},{9,0,913},{9,0,928},{9,0,950},{9,0,954},{9,0,978},{9,0,993},{12,0,812} +,{12,0,819},{12,0,831},{12,0,833},{12,0,838},{12,0,909},{12,0,928},{12,0,931},{ +12,0,950},{15,0,186},{15,0,187},{15,0,195},{15,0,196},{15,0,209},{15,0,215},{15, +0,236},{15,0,241},{15,0,249},{15,0,253},{18,0,180},{18,0,221},{18,0,224},{18,0, +227},{18,0,229},{149,0,60},{7,0,1826},{135,0,1938},{11,0,490},{18,0,143},{5,10, +86},{7,10,743},{9,10,85},{10,10,281},{10,10,432},{12,10,251},{13,10,118},{142,10 +,378},{5,10,524},{133,10,744},{141,11,442},{10,10,107},{140,10,436},{135,11,503} +,{134,0,1162},{132,10,927},{7,0,30},{8,0,86},{8,0,315},{8,0,700},{9,0,576},{9,0, +858},{10,0,414},{11,0,310},{11,0,888},{11,0,904},{12,0,361},{13,0,248},{13,0,371 +},{14,0,142},{12,10,670},{146,10,94},{134,0,721},{4,11,113},{5,11,163},{5,11,735 +},{7,11,1009},{7,10,1149},{9,11,9},{9,10,156},{9,11,771},{12,11,90},{13,11,138}, +{13,11,410},{143,11,128},{138,0,839},{133,10,778},{137,0,617},{133,10,502},{8,10 +,196},{10,10,283},{139,10,406},{6,0,428},{7,0,524},{8,0,169},{8,0,234},{9,0,480} +,{138,0,646},{133,10,855},{134,0,1648},{7,0,1205},{138,0,637},{7,0,1596},{4,11, +935},{133,11,823},{5,11,269},{7,11,434},{7,11,891},{8,11,339},{9,11,702},{11,11, +594},{11,11,718},{145,11,100},{7,11,878},{9,11,485},{141,11,264},{4,0,266},{8,0, +4},{9,0,39},{10,0,166},{11,0,918},{12,0,635},{20,0,10},{22,0,27},{22,0,43},{22,0 +,52},{134,11,1713},{7,10,1400},{9,10,446},{138,10,45},{135,11,900},{132,0,862},{ +134,0,1554},{135,11,1033},{19,0,16},{147,11,16},{135,11,1208},{7,0,157},{136,0, +279},{6,0,604},{136,0,391},{13,10,455},{15,10,99},{15,10,129},{144,10,68},{135, +10,172},{7,0,945},{11,0,713},{139,0,744},{4,0,973},{10,0,877},{10,0,937},{10,0, +938},{140,0,711},{139,0,1022},{132,10,568},{142,11,143},{4,0,567},{9,0,859},{132 +,10,732},{7,0,1846},{136,0,628},{136,10,733},{133,0,762},{4,10,428},{135,10,1789 +},{10,0,784},{13,0,191},{7,10,2015},{140,10,665},{133,0,298},{7,0,633},{7,0,905} +,{7,0,909},{7,0,1538},{9,0,767},{140,0,636},{138,10,806},{132,0,795},{139,0,301} +,{135,0,1970},{5,11,625},{135,11,1617},{135,11,275},{7,11,37},{8,11,425},{8,11, +693},{9,11,720},{10,11,380},{10,11,638},{11,11,273},{11,11,307},{11,11,473},{12, +11,61},{143,11,43},{135,11,198},{134,0,1236},{7,0,369},{12,0,644},{12,0,645},{ +144,0,90},{19,0,15},{149,0,27},{6,0,71},{7,0,845},{8,0,160},{9,0,318},{6,10,1623 +},{134,10,1681},{134,0,1447},{134,0,1255},{138,0,735},{8,0,76},{132,11,168},{6, +10,1748},{8,10,715},{9,10,802},{10,10,46},{10,10,819},{13,10,308},{14,10,351},{ +14,10,363},{146,10,67},{135,11,91},{6,0,474},{4,10,63},{133,10,347},{133,10,749} +,{138,0,841},{133,10,366},{6,0,836},{132,11,225},{135,0,1622},{135,10,89},{140,0 +,735},{134,0,1601},{138,11,145},{6,0,1390},{137,0,804},{142,0,394},{6,11,15},{7, +11,70},{10,11,240},{147,11,93},{6,0,96},{135,0,1426},{4,0,651},{133,0,289},{7,11 +,956},{7,10,977},{7,11,1157},{7,11,1506},{7,11,1606},{7,11,1615},{7,11,1619},{7, +11,1736},{7,11,1775},{8,11,590},{9,11,324},{9,11,736},{9,11,774},{9,11,776},{9, +11,784},{10,11,567},{10,11,708},{11,11,518},{11,11,613},{11,11,695},{11,11,716}, +{11,11,739},{11,11,770},{11,11,771},{11,11,848},{11,11,857},{11,11,931},{11,11, +947},{12,11,326},{12,11,387},{12,11,484},{12,11,528},{12,11,552},{12,11,613},{13 +,11,189},{13,11,256},{13,11,340},{13,11,432},{13,11,436},{13,11,440},{13,11,454} +,{14,11,174},{14,11,220},{14,11,284},{14,11,390},{145,11,121},{7,0,688},{8,0,35} +,{9,0,511},{10,0,767},{147,0,118},{134,0,667},{4,0,513},{5,10,824},{133,10,941}, +{7,10,440},{8,10,230},{139,10,106},{134,0,2034},{135,11,1399},{143,11,66},{135, +11,1529},{4,11,145},{6,11,176},{7,11,395},{9,11,562},{144,11,28},{132,11,501},{ +132,0,704},{134,0,1524},{7,0,1078},{134,11,464},{6,11,509},{10,11,82},{20,11,91} +,{151,11,13},{4,0,720},{133,0,306},{133,0,431},{7,0,1196},{4,10,914},{5,10,800}, +{133,10,852},{135,11,1189},{10,0,54},{141,10,115},{7,10,564},{142,10,168},{5,0, +464},{6,0,236},{7,0,696},{7,0,914},{7,0,1108},{7,0,1448},{9,0,15},{9,0,564},{10, +0,14},{12,0,565},{13,0,449},{14,0,53},{15,0,13},{16,0,64},{17,0,41},{4,10,918},{ +133,10,876},{6,0,1418},{134,10,1764},{4,10,92},{133,10,274},{134,0,907},{4,11, +114},{8,10,501},{9,11,492},{13,11,462},{142,11,215},{4,11,77},{5,11,361},{6,11, +139},{6,11,401},{6,11,404},{7,11,413},{7,11,715},{7,11,1716},{11,11,279},{12,11, +179},{12,11,258},{13,11,244},{142,11,358},{6,0,1767},{12,0,194},{145,0,107},{134 +,11,1717},{5,10,743},{142,11,329},{4,10,49},{7,10,280},{135,10,1633},{5,0,840},{ +7,11,1061},{8,11,82},{11,11,250},{12,11,420},{141,11,184},{135,11,724},{134,0, +900},{136,10,47},{134,0,1436},{144,11,0},{6,0,675},{7,0,1008},{7,0,1560},{9,0, +642},{11,0,236},{14,0,193},{5,10,272},{5,10,908},{5,10,942},{8,10,197},{9,10,47} +,{11,10,538},{139,10,742},{4,0,68},{5,0,628},{5,0,634},{6,0,386},{7,0,794},{8,0, +273},{9,0,563},{10,0,105},{10,0,171},{11,0,94},{139,0,354},{135,10,1911},{137,10 +,891},{4,0,95},{6,0,1297},{6,0,1604},{7,0,416},{139,0,830},{6,11,513},{135,11, +1052},{7,0,731},{13,0,20},{143,0,11},{137,11,899},{10,0,850},{140,0,697},{4,0, +662},{7,11,1417},{12,11,382},{17,11,48},{152,11,12},{133,0,736},{132,0,861},{4, +10,407},{132,10,560},{141,10,490},{6,11,545},{7,11,565},{7,11,1669},{10,11,114}, +{11,11,642},{140,11,618},{6,0,871},{134,0,1000},{5,0,864},{10,0,648},{11,0,671}, +{15,0,46},{133,11,5},{133,0,928},{11,0,90},{13,0,7},{4,10,475},{11,10,35},{13,10 +,71},{13,10,177},{142,10,422},{136,0,332},{135,11,192},{134,0,1055},{136,11,763} +,{11,0,986},{140,0,682},{7,0,76},{8,0,44},{9,0,884},{10,0,580},{11,0,399},{11,0, +894},{143,0,122},{135,11,1237},{135,10,636},{11,0,300},{6,10,222},{7,10,1620},{8 +,10,409},{137,10,693},{4,11,87},{5,11,250},{10,11,601},{13,11,298},{13,11,353},{ +141,11,376},{5,0,518},{10,0,340},{11,0,175},{149,0,16},{140,0,771},{6,0,1108},{ +137,0,831},{132,0,836},{135,0,1852},{4,0,957},{6,0,1804},{8,0,842},{8,0,843},{8, +0,851},{8,0,855},{140,0,767},{135,11,814},{4,11,57},{7,11,1195},{7,11,1438},{7, +11,1548},{7,11,1835},{7,11,1904},{9,11,757},{10,11,604},{139,11,519},{133,10,882 +},{138,0,246},{4,0,934},{5,0,202},{8,0,610},{7,11,1897},{12,11,290},{13,11,80},{ +13,11,437},{145,11,74},{8,0,96},{9,0,36},{10,0,607},{10,0,804},{10,0,832},{11,0, +423},{11,0,442},{12,0,309},{14,0,199},{15,0,90},{145,0,110},{132,10,426},{7,0, +654},{8,0,240},{6,10,58},{7,10,745},{7,10,1969},{8,10,675},{9,10,479},{9,10,731} +,{10,10,330},{10,10,593},{10,10,817},{11,10,32},{11,10,133},{11,10,221},{145,10, +68},{9,0,13},{9,0,398},{9,0,727},{10,0,75},{10,0,184},{10,0,230},{10,0,564},{10, +0,569},{11,0,973},{12,0,70},{12,0,189},{13,0,57},{141,0,257},{4,11,209},{135,11, +902},{7,0,391},{137,10,538},{134,0,403},{6,11,303},{7,11,335},{7,11,1437},{7,11, +1668},{8,11,553},{8,11,652},{8,11,656},{9,11,558},{11,11,743},{149,11,18},{132, +11,559},{11,0,75},{142,0,267},{6,0,815},{141,11,2},{141,0,366},{137,0,631},{133, +11,1017},{5,0,345},{135,0,1016},{133,11,709},{134,11,1745},{133,10,566},{7,0,952 +},{6,10,48},{9,10,139},{10,10,399},{11,10,469},{12,10,634},{141,10,223},{133,0, +673},{9,0,850},{7,11,8},{136,11,206},{6,0,662},{149,0,35},{4,0,287},{133,0,1018} +,{6,10,114},{7,10,1224},{7,10,1556},{136,10,3},{8,10,576},{137,10,267},{4,0,884} +,{5,0,34},{10,0,724},{12,0,444},{13,0,354},{18,0,32},{23,0,24},{23,0,31},{152,0, +5},{133,10,933},{132,11,776},{138,0,151},{136,0,427},{134,0,382},{132,0,329},{9, +0,846},{10,0,827},{138,11,33},{9,0,279},{10,0,407},{14,0,84},{22,0,18},{135,11, +1297},{136,11,406},{132,0,906},{136,0,366},{134,0,843},{134,0,1443},{135,0,1372} +,{138,0,992},{4,0,123},{5,0,605},{7,0,1509},{136,0,36},{132,0,649},{8,11,175},{ +10,11,168},{138,11,573},{133,0,767},{134,0,1018},{135,11,1305},{12,10,30},{13,10 +,148},{14,10,87},{14,10,182},{16,10,42},{148,10,70},{134,11,607},{4,0,273},{5,0, +658},{133,0,995},{6,0,72},{139,11,174},{10,0,483},{12,0,368},{7,10,56},{7,10, +1989},{8,10,337},{8,10,738},{9,10,600},{13,10,447},{142,10,92},{5,11,784},{138, +10,666},{135,0,1345},{139,11,882},{134,0,1293},{133,0,589},{134,0,1988},{5,0,117 +},{6,0,514},{6,0,541},{7,0,1164},{7,0,1436},{8,0,220},{8,0,648},{10,0,688},{139, +0,560},{136,0,379},{5,0,686},{7,10,866},{135,10,1163},{132,10,328},{9,11,14},{9, +11,441},{10,11,306},{139,11,9},{4,10,101},{135,10,1171},{5,10,833},{136,10,744}, +{5,11,161},{7,11,839},{135,11,887},{7,0,196},{10,0,765},{11,0,347},{11,0,552},{ +11,0,790},{12,0,263},{13,0,246},{13,0,270},{13,0,395},{14,0,176},{14,0,190},{14, +0,398},{14,0,412},{15,0,32},{15,0,63},{16,0,88},{147,0,105},{6,10,9},{6,10,397}, +{7,10,53},{7,10,1742},{10,10,632},{11,10,828},{140,10,146},{5,0,381},{135,0,1792 +},{134,0,1452},{135,11,429},{8,0,367},{10,0,760},{14,0,79},{20,0,17},{152,0,0},{ +7,0,616},{138,0,413},{11,10,417},{12,10,223},{140,10,265},{7,11,1611},{13,11,14} +,{15,11,44},{19,11,13},{148,11,76},{135,0,1229},{6,0,120},{7,0,1188},{7,0,1710}, +{8,0,286},{9,0,667},{11,0,592},{139,0,730},{135,11,1814},{135,0,1146},{4,10,186} +,{5,10,157},{8,10,168},{138,10,6},{4,0,352},{135,0,687},{4,0,192},{5,0,49},{6,0, +200},{6,0,293},{6,0,1696},{135,0,1151},{133,10,875},{5,10,773},{5,10,991},{6,10, +1635},{134,10,1788},{7,10,111},{136,10,581},{6,0,935},{134,0,1151},{134,0,1050}, +{132,0,650},{132,0,147},{11,0,194},{12,0,62},{12,0,88},{11,11,194},{12,11,62},{ +140,11,88},{6,0,339},{135,0,923},{134,10,1747},{7,11,643},{136,11,236},{133,0, +934},{7,10,1364},{7,10,1907},{141,10,158},{132,10,659},{4,10,404},{135,10,675},{ +7,11,581},{9,11,644},{137,11,699},{13,0,211},{14,0,133},{14,0,204},{15,0,64},{15 +,0,69},{15,0,114},{16,0,10},{19,0,23},{19,0,35},{19,0,39},{19,0,51},{19,0,71},{ +19,0,75},{152,0,15},{133,10,391},{5,11,54},{135,11,1513},{7,0,222},{8,0,341},{5, +10,540},{134,10,1697},{134,10,78},{132,11,744},{136,0,293},{137,11,701},{7,11, +930},{10,11,402},{10,11,476},{13,11,452},{18,11,55},{147,11,104},{132,0,637},{ +133,10,460},{8,11,50},{137,11,624},{132,11,572},{134,0,1159},{4,10,199},{139,10, +34},{134,0,847},{134,10,388},{6,11,43},{7,11,38},{8,11,248},{9,11,504},{138,11, +513},{9,0,683},{4,10,511},{6,10,608},{9,10,333},{10,10,602},{11,10,441},{11,10, +723},{11,10,976},{140,10,357},{9,0,867},{138,0,837},{6,0,944},{135,11,326},{135, +0,1809},{5,10,938},{7,11,783},{136,10,707},{133,11,766},{133,11,363},{6,0,170},{ +7,0,1080},{8,0,395},{8,0,487},{141,0,147},{6,11,258},{140,11,409},{4,0,535},{8,0 +,618},{5,11,249},{148,11,82},{6,0,1379},{149,11,15},{135,0,1625},{150,0,23},{5, +11,393},{6,11,378},{7,11,1981},{9,11,32},{9,11,591},{10,11,685},{10,11,741},{142 +,11,382},{133,11,788},{7,11,1968},{10,11,19},{139,11,911},{7,11,1401},{135,11, +1476},{4,11,61},{5,11,58},{5,11,171},{5,11,635},{5,11,683},{5,11,700},{6,11,291} +,{6,11,566},{7,11,1650},{11,11,523},{12,11,273},{12,11,303},{15,11,39},{143,11, +111},{6,10,469},{7,10,1709},{138,10,515},{4,0,778},{134,11,589},{132,0,46},{5,0, +811},{6,0,1679},{6,0,1714},{135,0,2032},{7,0,1458},{9,0,407},{11,0,15},{12,0,651 +},{149,0,37},{7,0,938},{132,10,500},{6,0,34},{7,0,69},{7,0,1089},{7,0,1281},{8,0 +,708},{8,0,721},{9,0,363},{148,0,98},{10,11,231},{147,11,124},{7,11,726},{152,11 +,9},{5,10,68},{134,10,383},{136,11,583},{4,11,917},{133,11,1005},{11,10,216},{ +139,10,340},{135,11,1675},{8,0,441},{10,0,314},{143,0,3},{132,11,919},{4,10,337} +,{6,10,353},{7,10,1934},{8,10,488},{137,10,429},{7,0,889},{7,10,1795},{8,10,259} +,{9,10,135},{9,10,177},{9,10,860},{10,10,825},{11,10,115},{11,10,370},{11,10,405 +},{11,10,604},{12,10,10},{12,10,667},{12,10,669},{13,10,76},{14,10,310},{15,10, +76},{15,10,147},{148,10,23},{4,10,15},{4,11,255},{5,10,22},{5,11,302},{6,11,132} +,{6,10,244},{7,10,40},{7,11,128},{7,10,200},{7,11,283},{7,10,906},{7,10,1199},{7 +,11,1299},{9,10,616},{10,11,52},{10,11,514},{10,10,716},{11,10,635},{11,10,801}, +{11,11,925},{12,10,458},{13,11,92},{142,11,309},{132,0,462},{137,11,173},{135,10 +,1735},{8,0,525},{5,10,598},{7,10,791},{8,10,108},{137,10,123},{5,0,73},{6,0,23} +,{134,0,338},{132,0,676},{132,10,683},{7,0,725},{8,0,498},{139,0,268},{12,0,21}, +{151,0,7},{135,0,773},{4,10,155},{135,10,1689},{4,0,164},{5,0,730},{5,10,151},{5 +,10,741},{6,11,210},{7,10,498},{7,10,870},{7,10,1542},{12,10,213},{14,10,36},{14 +,10,391},{17,10,111},{18,10,6},{18,10,46},{18,10,151},{19,10,36},{20,10,32},{20, +10,56},{20,10,69},{20,10,102},{21,10,4},{22,10,8},{22,10,10},{22,10,14},{150,10, +31},{4,10,624},{135,10,1752},{4,0,583},{9,0,936},{15,0,214},{18,0,199},{24,0,26} +,{134,11,588},{7,0,1462},{11,0,659},{4,11,284},{134,11,223},{133,0,220},{139,0, +803},{132,0,544},{4,10,492},{133,10,451},{16,0,98},{148,0,119},{4,11,218},{7,11, +526},{143,11,137},{135,10,835},{4,11,270},{5,11,192},{6,11,332},{7,11,1322},{13, +11,9},{13,10,70},{14,11,104},{142,11,311},{132,10,539},{140,11,661},{5,0,176},{6 +,0,437},{6,0,564},{11,0,181},{141,0,183},{135,0,1192},{6,10,113},{135,10,436},{ +136,10,718},{135,10,520},{135,0,1878},{140,11,196},{7,11,379},{8,11,481},{137,11 +,377},{5,11,1003},{6,11,149},{137,11,746},{8,11,262},{9,11,627},{10,11,18},{11, +11,214},{11,11,404},{11,11,457},{11,11,780},{11,11,849},{11,11,913},{13,11,330}, +{13,11,401},{142,11,200},{149,0,26},{136,11,304},{132,11,142},{135,0,944},{4,0, +790},{5,0,273},{134,0,394},{134,0,855},{4,0,135},{6,0,127},{7,0,1185},{7,0,1511} +,{8,0,613},{11,0,5},{12,0,336},{12,0,495},{12,0,586},{12,0,660},{12,0,668},{14,0 +,385},{15,0,118},{17,0,20},{146,0,98},{6,0,230},{9,0,752},{18,0,109},{12,10,610} +,{13,10,431},{144,10,59},{7,0,1954},{135,11,925},{4,11,471},{5,11,51},{6,11,602} +,{8,11,484},{10,11,195},{140,11,159},{132,10,307},{136,11,688},{132,11,697},{7, +11,812},{7,11,1261},{7,11,1360},{9,11,632},{140,11,352},{5,0,162},{8,0,68},{133, +10,964},{4,0,654},{136,11,212},{4,0,156},{7,0,998},{7,0,1045},{7,0,1860},{9,0,48 +},{9,0,692},{11,0,419},{139,0,602},{133,11,221},{4,11,373},{5,11,283},{6,11,480} +,{135,11,609},{142,11,216},{132,0,240},{6,11,192},{9,11,793},{145,11,55},{4,10, +75},{5,10,180},{6,10,500},{7,10,58},{7,10,710},{138,10,645},{4,11,132},{5,11,69} +,{5,10,649},{135,11,1242},{6,10,276},{7,10,282},{7,10,879},{7,10,924},{8,10,459} +,{9,10,599},{9,10,754},{11,10,574},{12,10,128},{12,10,494},{13,10,52},{13,10,301 +},{15,10,30},{143,10,132},{132,10,200},{4,11,111},{135,11,302},{9,0,197},{10,0, +300},{12,0,473},{13,0,90},{141,0,405},{132,11,767},{6,11,42},{7,11,1416},{7,11, +1590},{7,11,2005},{8,11,131},{8,11,466},{9,11,672},{13,11,252},{148,11,103},{8,0 +,958},{8,0,999},{10,0,963},{138,0,1001},{135,10,1621},{135,0,858},{4,0,606},{137 +,11,444},{6,11,44},{136,11,368},{139,11,172},{4,11,570},{133,11,120},{139,11,624 +},{7,0,1978},{8,0,676},{6,10,225},{137,10,211},{7,0,972},{11,0,102},{136,10,687} +,{6,11,227},{135,11,1589},{8,10,58},{9,10,724},{11,10,809},{13,10,113},{145,10, +72},{4,0,361},{133,0,315},{132,0,461},{6,10,345},{135,10,1247},{132,0,472},{8,10 +,767},{8,10,803},{9,10,301},{137,10,903},{135,11,1333},{135,11,477},{7,10,1949}, +{136,10,674},{6,0,905},{138,0,747},{133,0,155},{134,10,259},{7,0,163},{8,0,319}, +{9,0,402},{10,0,24},{10,0,681},{11,0,200},{12,0,253},{12,0,410},{142,0,219},{5,0 +,475},{7,0,1780},{9,0,230},{11,0,297},{11,0,558},{14,0,322},{19,0,76},{6,11,1667 +},{7,11,2036},{138,11,600},{136,10,254},{6,0,848},{135,0,1956},{6,11,511},{140, +11,132},{5,11,568},{6,11,138},{135,11,1293},{6,0,631},{137,0,838},{149,0,36},{4, +11,565},{8,11,23},{136,11,827},{5,0,944},{134,0,1769},{4,0,144},{6,0,842},{6,0, +1400},{4,11,922},{133,11,1023},{133,10,248},{9,10,800},{10,10,693},{11,10,482},{ +11,10,734},{139,10,789},{7,11,1002},{139,11,145},{4,10,116},{5,10,95},{5,10,445} +,{7,10,1688},{8,10,29},{9,10,272},{11,10,509},{139,10,915},{14,0,369},{146,0,72} +,{135,10,1641},{132,11,740},{133,10,543},{140,11,116},{6,0,247},{9,0,555},{5,10, +181},{136,10,41},{133,10,657},{136,0,996},{138,10,709},{7,0,189},{8,10,202},{138 +,10,536},{136,11,402},{4,11,716},{141,11,31},{10,0,280},{138,0,797},{9,10,423},{ +140,10,89},{8,10,113},{9,10,877},{10,10,554},{11,10,83},{12,10,136},{147,10,109} +,{133,10,976},{7,0,746},{132,10,206},{136,0,526},{139,0,345},{136,0,1017},{8,11, +152},{9,11,53},{9,11,268},{9,11,901},{10,11,518},{10,11,829},{11,11,188},{13,11, +74},{14,11,46},{15,11,17},{15,11,33},{17,11,40},{18,11,36},{19,11,20},{22,11,1}, +{152,11,2},{133,11,736},{136,11,532},{5,0,428},{138,0,651},{135,11,681},{135,0, +1162},{7,0,327},{13,0,230},{17,0,113},{8,10,226},{10,10,537},{11,10,570},{11,10, +605},{11,10,799},{11,10,804},{12,10,85},{12,10,516},{12,10,623},{12,11,677},{13, +10,361},{14,10,77},{14,10,78},{147,10,110},{4,0,792},{7,0,1717},{10,0,546},{132, +10,769},{4,11,684},{136,11,384},{132,10,551},{134,0,1203},{9,10,57},{9,10,459},{ +10,10,425},{11,10,119},{12,10,184},{12,10,371},{13,10,358},{145,10,51},{5,0,672} +,{5,10,814},{8,10,10},{9,10,421},{9,10,729},{10,10,609},{139,10,689},{138,0,189} +,{134,10,624},{7,11,110},{7,11,188},{8,11,290},{8,11,591},{9,11,382},{9,11,649}, +{11,11,71},{11,11,155},{11,11,313},{12,11,5},{13,11,325},{142,11,287},{133,0,99} +,{6,0,1053},{135,0,298},{7,11,360},{7,11,425},{9,11,66},{9,11,278},{138,11,644}, +{4,0,397},{136,0,555},{137,10,269},{132,10,528},{4,11,900},{133,11,861},{6,0, +1157},{5,11,254},{7,11,985},{136,11,73},{7,11,1959},{136,11,683},{12,0,398},{20, +0,39},{21,0,11},{150,0,41},{4,0,485},{7,0,353},{135,0,1523},{6,0,366},{7,0,1384} +,{135,0,1601},{138,0,787},{137,0,282},{5,10,104},{6,10,173},{135,10,1631},{139, +11,146},{4,0,157},{133,0,471},{134,0,941},{132,11,725},{7,0,1336},{8,10,138},{8, +10,342},{9,10,84},{10,10,193},{11,10,883},{140,10,359},{134,11,196},{136,0,116}, +{133,11,831},{134,0,787},{134,10,95},{6,10,406},{10,10,409},{10,10,447},{11,10, +44},{140,10,100},{5,0,160},{7,0,363},{7,0,589},{10,0,170},{141,0,55},{134,0,1815 +},{132,0,866},{6,0,889},{6,0,1067},{6,0,1183},{4,11,321},{134,11,569},{5,11,848} +,{134,11,66},{4,11,36},{6,10,1636},{7,11,1387},{10,11,205},{11,11,755},{141,11, +271},{132,0,689},{9,0,820},{4,10,282},{7,10,1034},{11,10,398},{11,10,634},{12,10 +,1},{12,10,79},{12,10,544},{14,10,237},{17,10,10},{146,10,20},{4,0,108},{7,0,804 +},{139,0,498},{132,11,887},{6,0,1119},{135,11,620},{6,11,165},{138,11,388},{5,0, +244},{5,10,499},{6,10,476},{7,10,600},{7,10,888},{135,10,1096},{140,0,609},{135, +0,1005},{4,0,412},{133,0,581},{4,11,719},{135,11,155},{7,10,296},{7,10,596},{8, +10,560},{8,10,586},{9,10,612},{11,10,304},{12,10,46},{13,10,89},{14,10,112},{145 +,10,122},{4,0,895},{133,0,772},{142,11,307},{135,0,1898},{4,0,926},{133,0,983},{ +4,11,353},{6,11,146},{6,11,1789},{7,11,288},{7,11,990},{7,11,1348},{9,11,665},{9 +,11,898},{11,11,893},{142,11,212},{132,0,538},{133,11,532},{6,0,294},{7,0,1267}, +{8,0,624},{141,0,496},{7,0,1325},{4,11,45},{135,11,1257},{138,0,301},{9,0,298},{ +12,0,291},{13,0,276},{14,0,6},{17,0,18},{21,0,32},{7,10,1599},{7,10,1723},{8,10, +79},{8,10,106},{8,10,190},{8,10,302},{8,10,383},{8,10,713},{9,10,119},{9,10,233} +,{9,10,419},{9,10,471},{10,10,181},{10,10,406},{11,10,57},{11,10,85},{11,10,120} +,{11,10,177},{11,10,296},{11,10,382},{11,10,454},{11,10,758},{11,10,999},{12,10, +27},{12,10,131},{12,10,245},{12,10,312},{12,10,446},{12,10,454},{13,10,98},{13, +10,426},{13,10,508},{14,10,163},{14,10,272},{14,10,277},{14,10,370},{15,10,95},{ +15,10,138},{15,10,167},{17,10,38},{148,10,96},{132,0,757},{134,0,1263},{4,0,820} +,{134,10,1759},{133,0,722},{136,11,816},{138,10,372},{145,10,16},{134,0,1039},{4 +,0,991},{134,0,2028},{133,10,258},{7,0,1875},{139,0,124},{6,11,559},{6,11,1691}, +{135,11,586},{5,0,324},{7,0,881},{8,10,134},{9,10,788},{140,10,438},{7,11,1823}, +{139,11,693},{6,0,1348},{134,0,1545},{134,0,911},{132,0,954},{8,0,329},{8,0,414} +,{7,10,1948},{135,10,2004},{5,0,517},{6,10,439},{7,10,780},{135,10,1040},{132,0, +816},{5,10,1},{6,10,81},{138,10,520},{9,0,713},{10,0,222},{5,10,482},{8,10,98},{ +10,10,700},{10,10,822},{11,10,302},{11,10,778},{12,10,50},{12,10,127},{12,10,396 +},{13,10,62},{13,10,328},{14,10,122},{147,10,72},{137,0,33},{5,10,2},{7,10,1494} +,{136,10,589},{6,10,512},{7,10,797},{8,10,253},{9,10,77},{10,10,1},{10,11,108},{ +10,10,129},{10,10,225},{11,11,116},{11,10,118},{11,10,226},{11,10,251},{11,10, +430},{11,10,701},{11,10,974},{11,10,982},{12,10,64},{12,10,260},{12,10,488},{140 +,10,690},{134,11,456},{133,11,925},{5,0,150},{7,0,106},{7,0,774},{8,0,603},{9,0, +593},{9,0,634},{10,0,44},{10,0,173},{11,0,462},{11,0,515},{13,0,216},{13,0,288}, +{142,0,400},{137,10,347},{5,0,748},{134,0,553},{12,0,108},{141,0,291},{7,0,420}, +{4,10,12},{7,10,522},{7,10,809},{8,10,797},{141,10,88},{6,11,193},{7,11,240},{7, +11,1682},{10,11,51},{10,11,640},{11,11,410},{13,11,82},{14,11,247},{14,11,331},{ +142,11,377},{133,10,528},{135,0,1777},{4,0,493},{144,0,55},{136,11,633},{139,0, +81},{6,0,980},{136,0,321},{148,10,109},{5,10,266},{9,10,290},{9,10,364},{10,10, +293},{11,10,606},{142,10,45},{6,0,568},{7,0,112},{7,0,1804},{8,0,362},{8,0,410}, +{8,0,830},{9,0,514},{11,0,649},{142,0,157},{4,0,74},{6,0,510},{6,10,594},{9,10, +121},{10,10,49},{10,10,412},{139,10,834},{134,0,838},{136,10,748},{132,10,466},{ +132,0,625},{135,11,1443},{4,11,237},{135,11,514},{9,10,378},{141,10,162},{6,0,16 +},{6,0,158},{7,0,43},{7,0,129},{7,0,181},{8,0,276},{8,0,377},{10,0,523},{11,0, +816},{12,0,455},{13,0,303},{142,0,135},{135,0,281},{4,0,1},{7,0,1143},{7,0,1463} +,{8,0,61},{9,0,207},{9,0,390},{9,0,467},{139,0,836},{6,11,392},{7,11,65},{135,11 +,2019},{132,10,667},{4,0,723},{5,0,895},{7,0,1031},{8,0,199},{8,0,340},{9,0,153} +,{9,0,215},{10,0,21},{10,0,59},{10,0,80},{10,0,224},{10,0,838},{11,0,229},{11,0, +652},{12,0,192},{13,0,146},{142,0,91},{132,0,295},{137,0,51},{9,11,222},{10,11, +43},{139,11,900},{5,0,309},{140,0,211},{5,0,125},{8,0,77},{138,0,15},{136,11,604 +},{138,0,789},{5,0,173},{4,10,39},{7,10,1843},{8,10,407},{11,10,144},{140,10,523 +},{138,11,265},{133,0,439},{132,10,510},{7,0,648},{7,0,874},{11,0,164},{12,0,76} +,{18,0,9},{7,10,1980},{10,10,487},{138,10,809},{12,0,111},{14,0,294},{19,0,45},{ +13,10,260},{146,10,63},{133,11,549},{134,10,570},{4,0,8},{7,0,1152},{7,0,1153},{ +7,0,1715},{9,0,374},{10,0,478},{139,0,648},{135,0,1099},{5,0,575},{6,0,354},{135 +,0,701},{7,11,36},{8,11,201},{136,11,605},{4,10,787},{136,11,156},{6,0,518},{149 +,11,13},{140,11,224},{134,0,702},{132,10,516},{5,11,724},{10,11,305},{11,11,151} +,{12,11,33},{12,11,121},{12,11,381},{17,11,3},{17,11,27},{17,11,78},{18,11,18},{ +19,11,54},{149,11,5},{8,0,87},{4,11,523},{5,11,638},{11,10,887},{14,10,365},{142 +,10,375},{138,0,438},{136,10,821},{135,11,1908},{6,11,242},{7,11,227},{7,11,1581 +},{8,11,104},{9,11,113},{9,11,220},{9,11,427},{10,11,74},{10,11,239},{11,11,579} +,{11,11,1023},{13,11,4},{13,11,204},{13,11,316},{18,11,95},{148,11,86},{4,0,69}, +{5,0,122},{5,0,849},{6,0,1633},{9,0,656},{138,0,464},{7,0,1802},{4,10,10},{139, +10,786},{135,11,861},{139,0,499},{7,0,476},{7,0,1592},{138,0,87},{133,10,684},{4 +,0,840},{134,10,27},{142,0,283},{6,0,1620},{7,11,1328},{136,11,494},{5,0,859},{7 +,0,1160},{8,0,107},{9,0,291},{9,0,439},{10,0,663},{11,0,609},{140,0,197},{7,11, +1306},{8,11,505},{9,11,482},{10,11,126},{11,11,225},{12,11,347},{12,11,449},{13, +11,19},{142,11,218},{5,11,268},{10,11,764},{12,11,120},{13,11,39},{145,11,127},{ +145,10,56},{7,11,1672},{10,11,472},{11,11,189},{143,11,51},{6,10,342},{6,10,496} +,{8,10,275},{137,10,206},{133,0,600},{4,0,117},{6,0,372},{7,0,1905},{142,0,323}, +{4,10,909},{5,10,940},{135,11,1471},{132,10,891},{4,0,722},{139,0,471},{4,11,384 +},{135,11,1022},{132,10,687},{9,0,5},{12,0,216},{12,0,294},{12,0,298},{12,0,400} +,{12,0,518},{13,0,229},{143,0,139},{135,11,1703},{7,11,1602},{10,11,698},{12,11, +212},{141,11,307},{6,10,41},{141,10,160},{135,11,1077},{9,11,159},{11,11,28},{ +140,11,603},{4,0,514},{7,0,1304},{138,0,477},{134,0,1774},{9,0,88},{139,0,270},{ +5,0,12},{7,0,375},{9,0,438},{134,10,1718},{132,11,515},{136,10,778},{8,11,632},{ +8,11,697},{137,11,854},{6,0,362},{6,0,997},{146,0,51},{7,0,816},{7,0,1241},{9,0, +283},{9,0,520},{10,0,213},{10,0,307},{10,0,463},{10,0,671},{10,0,746},{11,0,401} +,{11,0,794},{12,0,517},{18,0,107},{147,0,115},{133,10,115},{150,11,28},{4,11,136 +},{133,11,551},{142,10,314},{132,0,258},{6,0,22},{7,0,903},{7,0,1963},{8,0,639}, +{138,0,577},{5,0,681},{8,0,782},{13,0,130},{17,0,84},{5,10,193},{140,10,178},{9, +11,17},{138,11,291},{7,11,1287},{9,11,44},{10,11,552},{10,11,642},{11,11,839},{ +12,11,274},{12,11,275},{12,11,372},{13,11,91},{142,11,125},{135,10,174},{4,0,664 +},{5,0,804},{139,0,1013},{134,0,942},{6,0,1349},{6,0,1353},{6,0,1450},{7,11,1518 +},{139,11,694},{11,0,356},{4,10,122},{5,10,796},{5,10,952},{6,10,1660},{6,10, +1671},{8,10,567},{9,10,687},{9,10,742},{10,10,686},{11,10,682},{140,10,281},{5,0 +,32},{6,11,147},{7,11,886},{9,11,753},{138,11,268},{5,10,179},{7,10,1095},{135, +10,1213},{4,10,66},{7,10,722},{135,10,904},{135,10,352},{9,11,245},{138,11,137}, +{4,0,289},{7,0,629},{7,0,1698},{7,0,1711},{12,0,215},{133,11,414},{6,0,1975},{ +135,11,1762},{6,0,450},{136,0,109},{141,10,35},{134,11,599},{136,0,705},{133,0, +664},{134,11,1749},{11,11,402},{12,11,109},{12,11,431},{13,11,179},{13,11,206},{ +14,11,175},{14,11,217},{16,11,3},{148,11,53},{135,0,1238},{134,11,1627},{132,11, +488},{13,0,318},{10,10,592},{10,10,753},{12,10,317},{12,10,355},{12,10,465},{12, +10,469},{12,10,560},{140,10,578},{133,10,564},{132,11,83},{140,11,676},{6,0,1872 +},{6,0,1906},{6,0,1907},{9,0,934},{9,0,956},{9,0,960},{9,0,996},{12,0,794},{12,0 +,876},{12,0,880},{12,0,918},{15,0,230},{18,0,234},{18,0,238},{21,0,38},{149,0,62 +},{134,10,556},{134,11,278},{137,0,103},{7,10,544},{8,10,719},{138,10,61},{4,10, +5},{5,10,498},{8,10,637},{137,10,521},{7,0,777},{12,0,229},{12,0,239},{15,0,12}, +{12,11,229},{12,11,239},{143,11,12},{6,0,26},{7,11,388},{7,11,644},{139,11,781}, +{7,11,229},{8,11,59},{9,11,190},{9,11,257},{10,11,378},{140,11,191},{133,10,927} +,{135,10,1441},{4,10,893},{5,10,780},{133,10,893},{4,0,414},{5,0,467},{9,0,654}, +{10,0,451},{12,0,59},{141,0,375},{142,0,173},{135,0,17},{7,0,1350},{133,10,238}, +{135,0,955},{4,0,960},{10,0,887},{12,0,753},{18,0,161},{18,0,162},{152,0,19},{ +136,11,344},{6,10,1729},{137,11,288},{132,11,660},{4,0,217},{5,0,710},{7,0,760}, +{7,0,1926},{9,0,428},{9,0,708},{10,0,254},{10,0,296},{10,0,720},{11,0,109},{11,0 +,255},{12,0,165},{12,0,315},{13,0,107},{13,0,203},{14,0,54},{14,0,99},{14,0,114} +,{14,0,388},{16,0,85},{17,0,9},{17,0,33},{20,0,25},{20,0,28},{20,0,29},{21,0,9}, +{21,0,10},{21,0,34},{22,0,17},{4,10,60},{7,10,1800},{8,10,314},{9,10,700},{139, +10,487},{7,11,1035},{138,11,737},{7,11,690},{9,11,217},{9,11,587},{140,11,521},{ +6,0,919},{7,11,706},{7,11,1058},{138,11,538},{7,10,1853},{138,10,437},{136,10, +419},{6,0,280},{10,0,502},{11,0,344},{140,0,38},{5,0,45},{7,0,1161},{11,0,448},{ +11,0,880},{13,0,139},{13,0,407},{15,0,16},{17,0,95},{18,0,66},{18,0,88},{18,0, +123},{149,0,7},{11,11,92},{11,11,196},{11,11,409},{11,11,450},{11,11,666},{11,11 +,777},{12,11,262},{13,11,385},{13,11,393},{15,11,115},{16,11,45},{145,11,82},{ +136,0,777},{134,11,1744},{4,0,410},{7,0,521},{133,10,828},{134,0,673},{7,0,1110} +,{7,0,1778},{7,10,176},{135,10,178},{5,10,806},{7,11,268},{7,10,1976},{136,11, +569},{4,11,733},{9,11,194},{10,11,92},{11,11,198},{12,11,84},{12,11,87},{13,11, +128},{144,11,74},{5,0,341},{7,0,1129},{11,0,414},{4,10,51},{6,10,4},{7,10,591},{ +7,10,849},{7,10,951},{7,10,1613},{7,10,1760},{7,10,1988},{9,10,434},{10,10,754}, +{11,10,25},{139,10,37},{133,10,902},{135,10,928},{135,0,787},{132,0,436},{134,10 +,270},{7,0,1587},{135,0,1707},{6,0,377},{7,0,1025},{9,0,613},{145,0,104},{7,11, +982},{7,11,1361},{10,11,32},{143,11,56},{139,0,96},{132,0,451},{132,10,416},{142 +,10,372},{5,10,152},{5,10,197},{7,11,306},{7,10,340},{7,10,867},{10,10,548},{10, +10,581},{11,10,6},{12,10,3},{12,10,19},{14,10,110},{142,10,289},{134,0,680},{134 +,11,609},{7,0,483},{7,10,190},{8,10,28},{8,10,141},{8,10,444},{8,10,811},{9,10, +468},{11,10,334},{12,10,24},{12,10,386},{140,10,576},{10,0,916},{133,10,757},{5, +10,721},{135,10,1553},{133,11,178},{134,0,937},{132,10,898},{133,0,739},{147,0, +82},{135,0,663},{146,0,128},{5,10,277},{141,10,247},{134,0,1087},{132,10,435},{6 +,11,381},{7,11,645},{7,11,694},{136,11,546},{7,0,503},{135,0,1885},{6,0,1965},{8 +,0,925},{138,0,955},{4,0,113},{5,0,163},{5,0,735},{7,0,1009},{9,0,9},{9,0,771},{ +12,0,90},{13,0,138},{13,0,410},{143,0,128},{4,0,324},{138,0,104},{7,0,460},{5,10 +,265},{134,10,212},{133,11,105},{7,11,261},{7,11,1107},{7,11,1115},{7,11,1354},{ +7,11,1588},{7,11,1705},{7,11,1902},{9,11,465},{10,11,248},{10,11,349},{10,11,647 +},{11,11,527},{11,11,660},{11,11,669},{12,11,529},{141,11,305},{5,11,438},{9,11, +694},{12,11,627},{141,11,210},{152,11,11},{4,0,935},{133,0,823},{132,10,702},{5, +0,269},{7,0,434},{7,0,891},{8,0,339},{9,0,702},{11,0,594},{11,0,718},{17,0,100}, +{5,10,808},{135,10,2045},{7,0,1014},{9,0,485},{141,0,264},{134,0,1713},{7,0,1810 +},{11,0,866},{12,0,103},{13,0,495},{140,11,233},{4,0,423},{10,0,949},{138,0,1013 +},{135,0,900},{8,11,25},{138,11,826},{5,10,166},{8,10,739},{140,10,511},{134,0, +2018},{7,11,1270},{139,11,612},{4,10,119},{5,10,170},{5,10,447},{7,10,1708},{7, +10,1889},{9,10,357},{9,10,719},{12,10,486},{140,10,596},{12,0,574},{140,11,574}, +{132,11,308},{6,0,964},{6,0,1206},{134,0,1302},{4,10,450},{135,10,1158},{135,11, +150},{136,11,649},{14,0,213},{148,0,38},{9,11,45},{9,11,311},{141,11,42},{134,11 +,521},{7,10,1375},{7,10,1466},{138,10,331},{132,10,754},{5,11,339},{7,11,1442},{ +14,11,3},{15,11,41},{147,11,66},{136,11,378},{134,0,1022},{5,10,850},{136,10,799 +},{142,0,143},{135,0,2029},{134,11,1628},{8,0,523},{150,0,34},{5,0,625},{135,0, +1617},{7,0,275},{7,10,238},{7,10,2033},{8,10,120},{8,10,188},{8,10,659},{9,10, +598},{10,10,466},{12,10,342},{12,10,588},{13,10,503},{14,10,246},{143,10,92},{7, +0,37},{8,0,425},{8,0,693},{9,0,720},{10,0,380},{10,0,638},{11,0,273},{11,0,473}, +{12,0,61},{143,0,43},{135,11,829},{135,0,1943},{132,0,765},{5,11,486},{135,11, +1349},{7,11,1635},{8,11,17},{10,11,217},{138,11,295},{4,10,201},{7,10,1744},{8, +10,602},{11,10,247},{11,10,826},{145,10,65},{138,11,558},{11,0,551},{142,0,159}, +{8,10,164},{146,10,62},{139,11,176},{132,0,168},{136,0,1010},{134,0,1994},{135,0 +,91},{138,0,532},{135,10,1243},{135,0,1884},{132,10,907},{5,10,100},{10,10,329}, +{12,10,416},{149,10,29},{134,11,447},{132,10,176},{5,10,636},{5,10,998},{7,10,9} +,{7,10,1508},{8,10,26},{9,10,317},{9,10,358},{10,10,210},{10,10,292},{10,10,533} +,{11,10,555},{12,10,526},{12,10,607},{13,10,263},{13,10,459},{142,10,271},{4,11, +609},{135,11,756},{6,0,15},{7,0,70},{10,0,240},{147,0,93},{4,11,930},{133,11,947 +},{134,0,1227},{134,0,1534},{133,11,939},{133,11,962},{5,11,651},{8,11,170},{9, +11,61},{9,11,63},{10,11,23},{10,11,37},{10,11,834},{11,11,4},{11,11,187},{11,11, +281},{11,11,503},{11,11,677},{12,11,96},{12,11,130},{12,11,244},{14,11,5},{14,11 +,40},{14,11,162},{14,11,202},{146,11,133},{4,11,406},{5,11,579},{12,11,492},{150 +,11,15},{139,0,392},{6,10,610},{10,10,127},{141,10,27},{7,0,655},{7,0,1844},{136 +,10,119},{4,0,145},{6,0,176},{7,0,395},{137,0,562},{132,0,501},{140,11,145},{136 +,0,1019},{134,0,509},{139,0,267},{6,11,17},{7,11,16},{7,11,1001},{7,11,1982},{9, +11,886},{10,11,489},{10,11,800},{11,11,782},{12,11,320},{13,11,467},{14,11,145}, +{14,11,387},{143,11,119},{145,11,17},{6,0,1099},{133,11,458},{7,11,1983},{8,11,0 +},{8,11,171},{9,11,120},{9,11,732},{10,11,473},{11,11,656},{11,11,998},{18,11,0} +,{18,11,2},{147,11,21},{12,11,427},{146,11,38},{10,0,948},{138,0,968},{7,10,126} +,{136,10,84},{136,10,790},{4,0,114},{9,0,492},{13,0,462},{142,0,215},{6,10,64},{ +12,10,377},{141,10,309},{4,0,77},{5,0,361},{6,0,139},{6,0,401},{6,0,404},{7,0, +413},{7,0,715},{7,0,1716},{11,0,279},{12,0,179},{12,0,258},{13,0,244},{142,0,358 +},{134,0,1717},{7,0,772},{7,0,1061},{7,0,1647},{8,0,82},{11,0,250},{11,0,607},{ +12,0,311},{12,0,420},{13,0,184},{13,0,367},{7,10,1104},{11,10,269},{11,10,539},{ +11,10,627},{11,10,706},{11,10,975},{12,10,248},{12,10,434},{12,10,600},{12,10, +622},{13,10,297},{13,10,485},{14,10,69},{14,10,409},{143,10,108},{135,0,724},{4, +11,512},{4,11,519},{133,11,342},{134,0,1133},{145,11,29},{11,10,977},{141,10,507 +},{6,0,841},{6,0,1042},{6,0,1194},{10,0,993},{140,0,1021},{6,11,31},{7,11,491},{ +7,11,530},{8,11,592},{9,10,34},{11,11,53},{11,10,484},{11,11,779},{12,11,167},{ +12,11,411},{14,11,14},{14,11,136},{15,11,72},{16,11,17},{144,11,72},{4,0,1021},{ +6,0,2037},{133,11,907},{7,0,373},{8,0,335},{8,0,596},{9,0,488},{6,10,1700},{7,10 +,293},{7,10,382},{7,10,1026},{7,10,1087},{7,10,2027},{8,10,252},{8,10,727},{8,10 +,729},{9,10,30},{9,10,199},{9,10,231},{9,10,251},{9,10,334},{9,10,361},{9,10,712 +},{10,10,55},{10,10,60},{10,10,232},{10,10,332},{10,10,384},{10,10,396},{10,10, +504},{10,10,542},{10,10,652},{11,10,20},{11,10,48},{11,10,207},{11,10,291},{11, +10,298},{11,10,342},{11,10,365},{11,10,394},{11,10,620},{11,10,705},{11,10,1017} +,{12,10,123},{12,10,340},{12,10,406},{12,10,643},{13,10,61},{13,10,269},{13,10, +311},{13,10,319},{13,10,486},{14,10,234},{15,10,62},{15,10,85},{16,10,71},{18,10 +,119},{148,10,105},{150,0,37},{4,11,208},{5,11,106},{6,11,531},{8,11,408},{9,11, +188},{138,11,572},{132,0,564},{6,0,513},{135,0,1052},{132,0,825},{9,0,899},{140, +11,441},{134,0,778},{133,11,379},{7,0,1417},{12,0,382},{17,0,48},{152,0,12},{132 +,11,241},{7,0,1116},{6,10,379},{7,10,270},{8,10,176},{8,10,183},{9,10,432},{9,10 +,661},{12,10,247},{12,10,617},{146,10,125},{5,10,792},{133,10,900},{6,0,545},{7, +0,565},{7,0,1669},{10,0,114},{11,0,642},{140,0,618},{133,0,5},{138,11,7},{132,11 +,259},{135,0,192},{134,0,701},{136,0,763},{135,10,1979},{4,10,901},{133,10,776}, +{10,0,755},{147,0,29},{133,0,759},{4,11,173},{5,11,312},{5,11,512},{135,11,1285} +,{7,11,1603},{7,11,1691},{9,11,464},{11,11,195},{12,11,279},{12,11,448},{14,11, +11},{147,11,102},{7,0,370},{7,0,1007},{7,0,1177},{135,0,1565},{135,0,1237},{4,0, +87},{5,0,250},{141,0,298},{4,11,452},{5,11,583},{5,11,817},{6,11,433},{7,11,593} +,{7,11,720},{7,11,1378},{8,11,161},{9,11,284},{10,11,313},{139,11,886},{4,11,547 +},{135,11,1409},{136,11,722},{4,10,37},{5,10,334},{135,10,1253},{132,10,508},{12 +,0,107},{146,0,31},{8,11,420},{139,11,193},{135,0,814},{135,11,409},{140,0,991}, +{4,0,57},{7,0,1195},{7,0,1438},{7,0,1548},{7,0,1835},{7,0,1904},{9,0,757},{10,0, +604},{139,0,519},{132,0,540},{138,11,308},{132,10,533},{136,0,608},{144,11,65},{ +4,0,1014},{134,0,2029},{4,0,209},{7,0,902},{5,11,1002},{136,11,745},{134,0,2030} +,{6,0,303},{7,0,335},{7,0,1437},{7,0,1668},{8,0,553},{8,0,652},{8,0,656},{9,0, +558},{11,0,743},{149,0,18},{5,11,575},{6,11,354},{135,11,701},{4,11,239},{6,11, +477},{7,11,1607},{11,11,68},{139,11,617},{132,0,559},{8,0,527},{18,0,60},{147,0, +24},{133,10,920},{138,0,511},{133,0,1017},{133,0,675},{138,10,391},{11,0,156},{ +135,10,1952},{138,11,369},{132,11,367},{133,0,709},{6,0,698},{134,0,887},{142,10 +,126},{134,0,1745},{132,10,483},{13,11,299},{142,11,75},{133,0,714},{7,0,8},{136 +,0,206},{138,10,480},{4,11,694},{9,10,495},{146,10,104},{7,11,1248},{11,11,621}, +{139,11,702},{140,11,687},{132,0,776},{139,10,1009},{135,0,1272},{134,0,1059},{8 +,10,653},{13,10,93},{147,10,14},{135,11,213},{136,0,406},{133,10,172},{132,0,947 +},{8,0,175},{10,0,168},{138,0,573},{132,0,870},{6,0,1567},{151,11,28},{134,11, +472},{5,10,260},{136,11,132},{4,11,751},{11,11,390},{140,11,32},{4,11,409},{133, +11,78},{12,0,554},{6,11,473},{145,11,105},{133,0,784},{8,0,908},{136,11,306},{ +139,0,882},{6,0,358},{7,0,1393},{8,0,396},{10,0,263},{14,0,154},{16,0,48},{17,0, +8},{7,11,1759},{8,11,396},{10,11,263},{14,11,154},{16,11,48},{145,11,8},{13,11, +163},{13,11,180},{18,11,78},{148,11,35},{14,0,32},{18,0,85},{20,0,2},{152,0,16}, +{7,0,228},{10,0,770},{8,10,167},{8,10,375},{9,10,82},{9,10,561},{138,10,620},{ +132,0,845},{9,0,14},{9,0,441},{10,0,306},{139,0,9},{11,0,966},{12,0,287},{13,0, +342},{13,0,402},{15,0,110},{15,0,163},{8,10,194},{136,10,756},{134,0,1578},{4,0, +967},{6,0,1820},{6,0,1847},{140,0,716},{136,0,594},{7,0,1428},{7,0,1640},{7,0, +1867},{9,0,169},{9,0,182},{9,0,367},{9,0,478},{9,0,506},{9,0,551},{9,0,557},{9,0 +,648},{9,0,697},{9,0,705},{9,0,725},{9,0,787},{9,0,794},{10,0,198},{10,0,214},{ +10,0,267},{10,0,275},{10,0,456},{10,0,551},{10,0,561},{10,0,613},{10,0,627},{10, +0,668},{10,0,675},{10,0,691},{10,0,695},{10,0,707},{10,0,715},{11,0,183},{11,0, +201},{11,0,244},{11,0,262},{11,0,352},{11,0,439},{11,0,493},{11,0,572},{11,0,591 +},{11,0,608},{11,0,611},{11,0,646},{11,0,674},{11,0,711},{11,0,751},{11,0,761},{ +11,0,776},{11,0,785},{11,0,850},{11,0,853},{11,0,862},{11,0,865},{11,0,868},{11, +0,875},{11,0,898},{11,0,902},{11,0,903},{11,0,910},{11,0,932},{11,0,942},{11,0, +957},{11,0,967},{11,0,972},{12,0,148},{12,0,195},{12,0,220},{12,0,237},{12,0,318 +},{12,0,339},{12,0,393},{12,0,445},{12,0,450},{12,0,474},{12,0,505},{12,0,509},{ +12,0,533},{12,0,591},{12,0,594},{12,0,597},{12,0,621},{12,0,633},{12,0,642},{13, +0,59},{13,0,60},{13,0,145},{13,0,239},{13,0,250},{13,0,329},{13,0,344},{13,0,365 +},{13,0,372},{13,0,387},{13,0,403},{13,0,414},{13,0,456},{13,0,470},{13,0,478},{ +13,0,483},{13,0,489},{14,0,55},{14,0,57},{14,0,81},{14,0,90},{14,0,148},{14,0, +239},{14,0,266},{14,0,321},{14,0,326},{14,0,327},{14,0,330},{14,0,347},{14,0,355 +},{14,0,401},{14,0,404},{14,0,411},{14,0,414},{14,0,416},{14,0,420},{15,0,61},{ +15,0,74},{15,0,87},{15,0,88},{15,0,94},{15,0,96},{15,0,116},{15,0,149},{15,0,154 +},{16,0,50},{16,0,63},{16,0,73},{17,0,2},{17,0,66},{17,0,92},{17,0,103},{17,0, +112},{17,0,120},{18,0,50},{18,0,54},{18,0,82},{18,0,86},{18,0,90},{18,0,111},{18 +,0,115},{18,0,156},{19,0,40},{19,0,79},{20,0,78},{21,0,22},{135,11,883},{5,0,161 +},{135,0,839},{4,0,782},{13,11,293},{142,11,56},{133,11,617},{139,11,50},{135,10 +,22},{145,0,64},{5,10,639},{7,10,1249},{139,10,896},{138,0,998},{135,11,2042},{4 +,11,546},{142,11,233},{6,0,1043},{134,0,1574},{134,0,1496},{4,10,102},{7,10,815} +,{7,10,1699},{139,10,964},{12,0,781},{142,0,461},{4,11,313},{133,11,577},{6,0, +639},{6,0,1114},{137,0,817},{8,11,184},{141,11,433},{7,0,1814},{135,11,935},{10, +0,997},{140,0,958},{4,0,812},{137,11,625},{132,10,899},{136,10,795},{5,11,886},{ +6,11,46},{6,11,1790},{7,11,14},{7,11,732},{7,11,1654},{8,11,95},{8,11,327},{8,11 +,616},{10,11,598},{10,11,769},{11,11,134},{11,11,747},{12,11,378},{142,11,97},{ +136,0,139},{6,10,52},{9,10,104},{9,10,559},{12,10,308},{147,10,87},{133,11,1021} +,{132,10,604},{132,10,301},{136,10,779},{7,0,643},{136,0,236},{132,11,153},{134, +0,1172},{147,10,32},{133,11,798},{6,0,1338},{132,11,587},{6,11,598},{7,11,42},{8 +,11,695},{10,11,212},{11,11,158},{14,11,196},{145,11,85},{135,10,508},{5,11,957} +,{5,11,1008},{135,11,249},{4,11,129},{135,11,465},{5,0,54},{7,11,470},{7,11,1057 +},{7,11,1201},{9,11,755},{11,11,906},{140,11,527},{7,11,908},{146,11,7},{5,11, +148},{136,11,450},{144,11,1},{4,0,256},{135,0,1488},{9,0,351},{6,10,310},{7,10, +1849},{8,10,72},{8,10,272},{8,10,431},{9,10,12},{10,10,563},{10,10,630},{10,10, +796},{10,10,810},{11,10,367},{11,10,599},{11,10,686},{140,10,672},{6,0,1885},{6, +0,1898},{6,0,1899},{140,0,955},{4,0,714},{133,0,469},{6,0,1270},{134,0,1456},{ +132,0,744},{6,0,313},{7,10,537},{8,10,64},{9,10,127},{10,10,496},{12,10,510},{ +141,10,384},{4,11,217},{4,10,244},{5,11,710},{7,10,233},{7,11,1926},{9,11,428},{ +9,11,708},{10,11,254},{10,11,296},{10,11,720},{11,11,109},{11,11,255},{12,11,165 +},{12,11,315},{13,11,107},{13,11,203},{14,11,54},{14,11,99},{14,11,114},{14,11, +388},{16,11,85},{17,11,9},{17,11,33},{20,11,25},{20,11,28},{20,11,29},{21,11,9}, +{21,11,10},{21,11,34},{150,11,17},{138,0,402},{7,0,969},{146,0,55},{8,0,50},{137 +,0,624},{134,0,1355},{132,0,572},{134,10,1650},{10,10,702},{139,10,245},{10,0, +847},{142,0,445},{6,0,43},{7,0,38},{8,0,248},{138,0,513},{133,0,369},{137,10,338 +},{133,0,766},{133,0,363},{133,10,896},{8,11,392},{11,11,54},{13,11,173},{13,11, +294},{148,11,7},{134,0,678},{7,11,1230},{136,11,531},{6,0,258},{140,0,409},{5,0, +249},{148,0,82},{7,10,1117},{136,10,539},{5,0,393},{6,0,378},{7,0,1981},{9,0,32} +,{9,0,591},{10,0,685},{10,0,741},{142,0,382},{133,0,788},{134,0,1281},{134,0, +1295},{7,0,1968},{141,0,509},{4,0,61},{5,0,58},{5,0,171},{5,0,683},{6,0,291},{6, +0,566},{7,0,1650},{11,0,523},{12,0,273},{12,0,303},{15,0,39},{143,0,111},{6,0, +706},{134,0,1283},{134,0,589},{135,11,1433},{133,11,435},{7,0,1059},{13,0,54},{5 +,10,4},{5,10,810},{6,10,13},{6,10,538},{6,10,1690},{6,10,1726},{7,10,1819},{8,10 +,148},{8,10,696},{8,10,791},{12,10,125},{143,10,9},{135,10,1268},{5,11,85},{6,11 +,419},{7,11,134},{7,11,305},{7,11,361},{7,11,1337},{8,11,71},{140,11,519},{137,0 +,824},{140,11,688},{5,11,691},{7,11,345},{7,10,1385},{9,11,94},{11,10,582},{11, +10,650},{11,10,901},{11,10,949},{12,11,169},{12,10,232},{12,10,236},{13,10,413}, +{13,10,501},{146,10,116},{4,0,917},{133,0,1005},{7,0,1598},{5,11,183},{6,11,582} +,{9,11,344},{10,11,679},{140,11,435},{4,10,925},{5,10,803},{8,10,698},{138,10, +828},{132,0,919},{135,11,511},{139,10,992},{4,0,255},{5,0,302},{6,0,132},{7,0, +128},{7,0,283},{7,0,1299},{10,0,52},{10,0,514},{11,0,925},{13,0,92},{142,0,309}, +{134,0,1369},{135,10,1847},{134,0,328},{7,11,1993},{136,11,684},{133,10,383},{ +137,0,173},{134,11,583},{134,0,1411},{19,0,65},{5,11,704},{8,11,357},{10,11,745} +,{14,11,426},{17,11,94},{147,11,57},{9,10,660},{138,10,347},{4,11,179},{5,11,198 +},{133,11,697},{7,11,347},{7,11,971},{8,11,181},{138,11,711},{141,0,442},{11,0, +842},{11,0,924},{13,0,317},{13,0,370},{13,0,469},{13,0,471},{14,0,397},{18,0,69} +,{18,0,145},{7,10,572},{9,10,592},{11,10,680},{12,10,356},{140,10,550},{14,11,19 +},{14,11,28},{144,11,29},{136,0,534},{4,11,243},{5,11,203},{7,11,19},{7,11,71},{ +7,11,113},{10,11,405},{11,11,357},{142,11,240},{6,0,210},{10,0,845},{138,0,862}, +{7,11,1351},{9,11,581},{10,11,639},{11,11,453},{140,11,584},{7,11,1450},{139,11, +99},{10,0,892},{12,0,719},{144,0,105},{4,0,284},{6,0,223},{134,11,492},{5,11,134 +},{6,11,408},{6,11,495},{135,11,1593},{136,0,529},{137,0,807},{4,0,218},{7,0,526 +},{143,0,137},{6,0,1444},{142,11,4},{132,11,665},{4,0,270},{5,0,192},{6,0,332},{ +7,0,1322},{4,11,248},{7,11,137},{137,11,349},{140,0,661},{7,0,1517},{11,0,597},{ +14,0,76},{14,0,335},{20,0,33},{7,10,748},{139,10,700},{5,11,371},{135,11,563},{ +146,11,57},{133,10,127},{133,0,418},{4,11,374},{7,11,547},{7,11,1700},{7,11,1833 +},{139,11,858},{6,10,198},{140,10,83},{7,11,1812},{13,11,259},{13,11,356},{14,11 +,242},{147,11,114},{7,0,379},{8,0,481},{9,0,377},{5,10,276},{6,10,55},{135,10, +1369},{138,11,286},{5,0,1003},{6,0,149},{6,10,1752},{136,10,726},{8,0,262},{9,0, +627},{10,0,18},{11,0,214},{11,0,404},{11,0,457},{11,0,780},{11,0,913},{13,0,401} +,{14,0,200},{6,11,1647},{7,11,1552},{7,11,2010},{9,11,494},{137,11,509},{135,0, +742},{136,0,304},{132,0,142},{133,10,764},{6,10,309},{7,10,331},{138,10,550},{ +135,10,1062},{6,11,123},{7,11,214},{7,10,986},{9,11,728},{10,11,157},{11,11,346} +,{11,11,662},{143,11,106},{135,10,1573},{7,0,925},{137,0,799},{4,0,471},{5,0,51} +,{6,0,602},{8,0,484},{138,0,195},{136,0,688},{132,0,697},{6,0,1169},{6,0,1241},{ +6,10,194},{7,10,133},{10,10,493},{10,10,570},{139,10,664},{140,0,751},{7,0,929}, +{10,0,452},{11,0,878},{16,0,33},{5,10,24},{5,10,569},{6,10,3},{6,10,119},{6,10, +143},{6,10,440},{7,10,599},{7,10,1686},{7,10,1854},{8,10,424},{9,10,43},{9,10, +584},{9,10,760},{10,10,328},{11,10,159},{11,10,253},{12,10,487},{140,10,531},{4, +11,707},{13,11,106},{18,11,49},{147,11,41},{5,0,221},{5,11,588},{134,11,393},{ +134,0,1437},{6,11,211},{7,11,1690},{11,11,486},{140,11,369},{5,10,14},{5,10,892} +,{6,10,283},{7,10,234},{136,10,537},{4,0,988},{136,0,955},{135,0,1251},{4,10,126 +},{8,10,635},{147,10,34},{4,10,316},{135,10,1561},{137,10,861},{4,10,64},{5,10, +352},{5,10,720},{6,10,368},{139,10,359},{134,0,192},{4,0,132},{5,0,69},{135,0, +1242},{7,10,1577},{10,10,304},{10,10,549},{12,10,365},{13,10,220},{13,10,240},{ +142,10,33},{4,0,111},{7,0,865},{134,11,219},{5,11,582},{6,11,1646},{7,11,99},{7, +11,1962},{7,11,1986},{8,11,515},{8,11,773},{9,11,23},{9,11,491},{12,11,620},{14, +11,52},{145,11,50},{132,0,767},{7,11,568},{148,11,21},{6,0,42},{7,0,1416},{7,0, +2005},{8,0,131},{8,0,466},{9,0,672},{13,0,252},{20,0,103},{133,11,851},{135,0, +1050},{6,10,175},{137,10,289},{5,10,432},{133,10,913},{6,0,44},{136,0,368},{135, +11,784},{132,0,570},{133,0,120},{139,10,595},{140,0,29},{6,0,227},{135,0,1589},{ +4,11,98},{7,11,1365},{9,11,422},{9,11,670},{10,11,775},{11,11,210},{13,11,26},{ +13,11,457},{141,11,476},{140,10,80},{5,10,931},{134,10,1698},{133,0,522},{134,0, +1120},{135,0,1529},{12,0,739},{14,0,448},{142,0,467},{11,10,526},{11,10,939},{ +141,10,290},{5,10,774},{6,10,1637},{6,10,1686},{134,10,1751},{6,0,1667},{135,0, +2036},{7,10,1167},{11,10,934},{13,10,391},{145,10,76},{137,11,147},{6,10,260},{7 +,10,1484},{11,11,821},{12,11,110},{12,11,153},{18,11,41},{150,11,19},{6,0,511},{ +12,0,132},{134,10,573},{5,0,568},{6,0,138},{135,0,1293},{132,0,1020},{8,0,258},{ +9,0,208},{137,0,359},{4,0,565},{8,0,23},{136,0,827},{134,0,344},{4,0,922},{5,0, +1023},{13,11,477},{14,11,120},{148,11,61},{134,0,240},{5,11,209},{6,11,30},{11, +11,56},{139,11,305},{6,0,171},{7,0,1002},{7,0,1324},{9,0,415},{14,0,230},{18,0, +68},{4,10,292},{4,10,736},{5,10,871},{6,10,1689},{7,10,1944},{137,10,580},{9,11, +635},{139,11,559},{4,11,150},{5,11,303},{134,11,327},{6,10,63},{135,10,920},{133 +,10,793},{8,11,192},{10,11,78},{10,11,555},{11,11,308},{13,11,359},{147,11,95},{ +135,11,786},{135,11,1712},{136,0,402},{6,0,754},{6,11,1638},{7,11,79},{7,11,496} +,{9,11,138},{10,11,336},{11,11,12},{12,11,412},{12,11,440},{142,11,305},{4,0,716 +},{141,0,31},{133,0,982},{8,0,691},{8,0,731},{5,10,67},{6,10,62},{6,10,374},{135 +,10,1391},{9,10,790},{140,10,47},{139,11,556},{151,11,1},{7,11,204},{7,11,415},{ +8,11,42},{10,11,85},{11,11,33},{11,11,564},{12,11,571},{149,11,1},{8,0,888},{7, +11,610},{135,11,1501},{4,10,391},{135,10,1169},{5,0,847},{9,0,840},{138,0,803},{ +137,0,823},{134,0,785},{8,0,152},{9,0,53},{9,0,268},{9,0,901},{10,0,518},{10,0, +829},{11,0,188},{13,0,74},{14,0,46},{15,0,17},{15,0,33},{17,0,40},{18,0,36},{19, +0,20},{22,0,1},{152,0,2},{4,11,3},{5,11,247},{5,11,644},{7,11,744},{7,11,1207},{ +7,11,1225},{7,11,1909},{146,11,147},{136,0,532},{135,0,681},{132,10,271},{140,0, +314},{140,0,677},{4,0,684},{136,0,384},{5,11,285},{9,11,67},{13,11,473},{143,11, +82},{4,10,253},{5,10,544},{7,10,300},{137,10,340},{7,0,110},{7,0,447},{8,0,290}, +{8,0,591},{9,0,382},{9,0,649},{11,0,71},{11,0,155},{11,0,313},{12,0,5},{13,0,325 +},{142,0,287},{134,0,1818},{136,0,1007},{138,0,321},{7,0,360},{7,0,425},{9,0,66} +,{9,0,278},{138,0,644},{133,10,818},{5,0,385},{5,10,541},{6,10,94},{6,10,499},{7 +,10,230},{139,10,321},{4,10,920},{5,10,25},{5,10,790},{6,10,457},{7,10,853},{136 +,10,788},{4,0,900},{133,0,861},{5,0,254},{7,0,985},{136,0,73},{7,0,1959},{136,0, +683},{134,10,1765},{133,10,822},{132,10,634},{4,11,29},{6,11,532},{7,11,1628},{7 +,11,1648},{9,11,303},{9,11,350},{10,11,433},{11,11,97},{11,11,557},{11,11,745},{ +12,11,289},{12,11,335},{12,11,348},{12,11,606},{13,11,116},{13,11,233},{13,11, +466},{14,11,181},{14,11,209},{14,11,232},{14,11,236},{14,11,300},{16,11,41},{148 +,11,97},{19,0,86},{6,10,36},{7,10,658},{136,10,454},{135,11,1692},{132,0,725},{5 +,11,501},{7,11,1704},{9,11,553},{11,11,520},{12,11,557},{141,11,249},{134,0,196} +,{133,0,831},{136,0,723},{7,0,1897},{13,0,80},{13,0,437},{145,0,74},{4,0,992},{6 +,0,627},{136,0,994},{135,11,1294},{132,10,104},{5,0,848},{6,0,66},{136,0,764},{4 +,0,36},{7,0,1387},{10,0,205},{139,0,755},{6,0,1046},{134,0,1485},{134,0,950},{ +132,0,887},{14,0,450},{148,0,111},{7,0,620},{7,0,831},{9,10,542},{9,10,566},{138 +,10,728},{6,0,165},{138,0,388},{139,10,263},{4,0,719},{135,0,155},{138,10,468},{ +6,11,453},{144,11,36},{134,11,129},{5,0,533},{7,0,755},{138,0,780},{134,0,1465}, +{4,0,353},{6,0,146},{6,0,1789},{7,0,427},{7,0,990},{7,0,1348},{9,0,665},{9,0,898 +},{11,0,893},{142,0,212},{7,10,87},{142,10,288},{4,0,45},{135,0,1257},{12,0,7},{ +7,10,988},{7,10,1939},{9,10,64},{9,10,502},{12,10,34},{13,10,12},{13,10,234},{ +147,10,77},{4,0,607},{5,11,60},{6,11,504},{7,11,614},{7,11,1155},{140,11,0},{135 +,10,141},{8,11,198},{11,11,29},{140,11,534},{140,0,65},{136,0,816},{132,10,619}, +{139,0,88},{5,10,246},{8,10,189},{9,10,355},{9,10,512},{10,10,124},{10,10,453},{ +11,10,143},{11,10,416},{11,10,859},{141,10,341},{4,11,379},{135,11,1397},{4,0, +600},{137,0,621},{133,0,367},{134,0,561},{6,0,559},{134,0,1691},{6,0,585},{134, +11,585},{135,11,1228},{4,11,118},{5,10,678},{6,11,274},{6,11,361},{7,11,75},{141 +,11,441},{135,11,1818},{137,11,841},{5,0,573},{6,0,287},{7,10,862},{7,10,1886},{ +138,10,179},{132,10,517},{140,11,693},{5,11,314},{6,11,221},{7,11,419},{10,11, +650},{11,11,396},{12,11,156},{13,11,369},{14,11,333},{145,11,47},{140,10,540},{ +136,10,667},{11,10,403},{146,10,83},{6,0,672},{133,10,761},{9,0,157},{10,10,131} +,{140,10,72},{7,0,714},{134,11,460},{134,0,456},{133,0,925},{5,11,682},{135,11, +1887},{136,11,510},{136,11,475},{133,11,1016},{9,0,19},{7,11,602},{8,11,179},{10 +,11,781},{140,11,126},{6,11,329},{138,11,111},{6,0,822},{134,0,1473},{144,11,86} +,{11,0,113},{139,11,113},{5,11,821},{134,11,1687},{133,10,449},{7,0,463},{17,0, +69},{136,10,103},{7,10,2028},{138,10,641},{6,0,193},{7,0,240},{7,0,1682},{10,0, +51},{10,0,640},{11,0,410},{13,0,82},{14,0,247},{14,0,331},{142,0,377},{6,0,471}, +{11,0,411},{142,0,2},{5,11,71},{7,11,1407},{9,11,388},{9,11,704},{10,11,261},{10 +,11,619},{11,11,547},{11,11,619},{143,11,157},{136,0,633},{135,0,1148},{6,0,554} +,{7,0,1392},{12,0,129},{7,10,1274},{7,10,1386},{7,11,2008},{9,11,337},{10,11,517 +},{146,10,87},{7,0,803},{8,0,542},{6,10,187},{7,10,1203},{8,10,380},{14,10,117}, +{149,10,28},{6,10,297},{7,10,793},{139,10,938},{8,0,438},{11,0,363},{7,10,464},{ +11,10,105},{12,10,231},{14,10,386},{15,10,102},{148,10,75},{5,11,16},{6,11,86},{ +6,11,603},{7,11,292},{7,11,561},{8,11,257},{8,11,382},{9,11,721},{9,11,778},{11, +11,581},{140,11,466},{6,0,717},{4,11,486},{133,11,491},{132,0,875},{132,11,72},{ +6,11,265},{135,11,847},{4,0,237},{135,0,514},{6,0,392},{7,0,65},{135,0,2019},{ +140,11,261},{135,11,922},{137,11,404},{12,0,563},{14,0,101},{18,0,129},{7,10, +1010},{11,10,733},{11,10,759},{13,10,34},{146,10,45},{7,10,1656},{9,10,369},{10, +10,338},{10,10,490},{11,10,154},{11,10,545},{11,10,775},{13,10,77},{141,10,274}, +{4,0,444},{10,0,146},{140,0,9},{139,11,163},{7,0,1260},{135,0,1790},{9,0,222},{ +10,0,43},{139,0,900},{137,11,234},{138,0,971},{137,0,761},{134,0,699},{136,11, +434},{6,0,1116},{7,0,1366},{5,10,20},{6,11,197},{6,10,298},{7,10,659},{8,11,205} +,{137,10,219},{132,11,490},{11,11,820},{150,11,51},{7,10,1440},{11,10,854},{11, +10,872},{11,10,921},{12,10,551},{13,10,472},{142,10,367},{140,11,13},{132,0,829} +,{12,0,242},{132,10,439},{136,10,669},{6,0,593},{6,11,452},{7,11,312},{138,11, +219},{4,11,333},{9,11,176},{12,11,353},{141,11,187},{7,0,36},{8,0,201},{136,0, +605},{140,0,224},{132,10,233},{134,0,1430},{134,0,1806},{4,0,523},{133,0,638},{6 +,0,1889},{9,0,958},{9,0,971},{9,0,976},{12,0,796},{12,0,799},{12,0,808},{12,0, +835},{12,0,836},{12,0,914},{12,0,946},{15,0,216},{15,0,232},{18,0,183},{18,0,187 +},{18,0,194},{18,0,212},{18,0,232},{149,0,49},{132,10,482},{6,0,827},{134,0,1434 +},{135,10,346},{134,0,2043},{6,0,242},{7,0,227},{7,0,1581},{8,0,104},{9,0,113},{ +9,0,220},{9,0,427},{10,0,136},{10,0,239},{11,0,579},{11,0,1023},{13,0,4},{13,0, +204},{13,0,316},{148,0,86},{134,11,1685},{7,0,148},{8,0,284},{141,0,63},{142,0, +10},{135,11,584},{134,0,1249},{7,0,861},{135,10,334},{5,10,795},{6,10,1741},{137 +,11,70},{132,0,807},{7,11,135},{8,11,7},{8,11,62},{9,11,243},{10,11,658},{10,11, +697},{11,11,456},{139,11,756},{9,11,395},{138,11,79},{137,11,108},{147,0,94},{ +136,0,494},{135,11,631},{135,10,622},{7,0,1510},{135,10,1750},{4,10,203},{135,10 +,1936},{7,11,406},{7,11,459},{8,11,606},{139,11,726},{7,0,1306},{8,0,505},{9,0, +482},{10,0,126},{11,0,225},{12,0,347},{12,0,449},{13,0,19},{14,0,218},{142,0,435 +},{5,0,268},{10,0,764},{12,0,120},{13,0,39},{145,0,127},{142,11,68},{11,10,678}, +{140,10,307},{12,11,268},{12,11,640},{142,11,119},{135,10,2044},{133,11,612},{4, +11,372},{7,11,482},{8,11,158},{9,11,602},{9,11,615},{10,11,245},{10,11,678},{10, +11,744},{11,11,248},{139,11,806},{7,10,311},{9,10,308},{140,10,255},{4,0,384},{ +135,0,1022},{5,11,854},{135,11,1991},{135,10,1266},{4,10,400},{5,10,267},{135,10 +,232},{135,0,1703},{9,0,159},{11,0,661},{140,0,603},{4,0,964},{14,0,438},{14,0, +444},{14,0,456},{22,0,60},{22,0,63},{9,11,106},{9,11,163},{9,11,296},{10,11,167} +,{10,11,172},{10,11,777},{139,11,16},{136,0,583},{132,0,515},{8,0,632},{8,0,697} +,{137,0,854},{5,11,195},{135,11,1685},{6,0,1123},{134,0,1365},{134,11,328},{7,11 +,1997},{8,11,730},{139,11,1006},{4,0,136},{133,0,551},{134,0,1782},{7,0,1287},{9 +,0,44},{10,0,552},{10,0,642},{11,0,839},{12,0,274},{12,0,275},{12,0,372},{13,0, +91},{142,0,125},{5,11,751},{11,11,797},{140,11,203},{133,0,732},{7,0,679},{8,0, +313},{4,10,100},{135,11,821},{10,0,361},{142,0,316},{134,0,595},{6,0,147},{7,0, +886},{9,0,753},{138,0,268},{5,10,362},{5,10,443},{6,10,318},{7,10,1019},{139,10, +623},{5,10,463},{136,10,296},{4,10,454},{5,11,950},{5,11,994},{134,11,351},{138, +0,137},{5,10,48},{5,10,404},{6,10,557},{7,10,458},{8,10,597},{10,10,455},{10,10, +606},{11,10,49},{11,10,548},{12,10,476},{13,10,18},{141,10,450},{133,0,414},{135 +,0,1762},{5,11,421},{135,11,47},{5,10,442},{135,10,1984},{134,0,599},{134,0,1749 +},{134,0,1627},{4,0,488},{132,11,350},{137,11,751},{132,0,83},{140,0,676},{133, +11,967},{7,0,1639},{5,10,55},{140,10,161},{4,11,473},{7,11,623},{8,11,808},{9,11 +,871},{9,11,893},{11,11,38},{11,11,431},{12,11,112},{12,11,217},{12,11,243},{12, +11,562},{12,11,683},{13,11,141},{13,11,197},{13,11,227},{13,11,406},{13,11,487}, +{14,11,156},{14,11,203},{14,11,224},{14,11,256},{18,11,58},{150,11,0},{133,10, +450},{7,11,736},{139,11,264},{134,0,278},{4,11,222},{7,11,286},{136,11,629},{135 +,10,869},{140,0,97},{144,0,14},{134,0,1085},{4,10,213},{7,10,223},{136,10,80},{7 +,0,388},{7,0,644},{139,0,781},{132,0,849},{7,0,229},{8,0,59},{9,0,190},{10,0,378 +},{140,0,191},{7,10,381},{7,10,806},{7,10,820},{8,10,354},{8,10,437},{8,10,787}, +{9,10,657},{10,10,58},{10,10,339},{10,10,749},{11,10,914},{12,10,162},{13,10,75} +,{14,10,106},{14,10,198},{14,10,320},{14,10,413},{146,10,43},{141,11,306},{136, +10,747},{134,0,1115},{16,0,94},{16,0,108},{136,11,146},{6,0,700},{6,0,817},{134, +0,1002},{133,10,692},{4,11,465},{135,11,1663},{134,10,191},{6,0,1414},{135,11, +913},{132,0,660},{7,0,1035},{138,0,737},{6,10,162},{7,10,1960},{136,10,831},{132 +,10,706},{7,0,690},{9,0,217},{9,0,587},{140,0,521},{138,10,426},{135,10,1235},{6 +,11,82},{7,11,138},{7,11,517},{9,11,673},{139,11,238},{138,0,272},{5,11,495},{7, +11,834},{9,11,733},{139,11,378},{134,0,1744},{132,0,1011},{7,11,828},{142,11,116 +},{4,0,733},{9,0,194},{10,0,92},{11,0,198},{12,0,84},{13,0,128},{133,11,559},{10 +,0,57},{10,0,277},{6,11,21},{6,11,1737},{7,11,1444},{136,11,224},{4,10,204},{137 +,10,902},{136,10,833},{11,0,348},{12,0,99},{18,0,1},{18,0,11},{19,0,4},{7,10,366 +},{9,10,287},{12,10,199},{12,10,556},{140,10,577},{6,0,1981},{136,0,936},{21,0, +33},{150,0,40},{5,11,519},{138,11,204},{5,10,356},{135,10,224},{134,0,775},{135, +0,306},{7,10,630},{9,10,567},{11,10,150},{11,10,444},{141,10,119},{5,0,979},{134 +,10,539},{133,0,611},{4,11,402},{135,11,1679},{5,0,178},{7,11,2},{8,11,323},{136 +,11,479},{5,11,59},{135,11,672},{4,0,1010},{6,0,1969},{138,11,237},{133,11,412}, +{146,11,34},{7,11,1740},{146,11,48},{134,0,664},{139,10,814},{4,11,85},{135,11, +549},{133,11,94},{133,11,457},{132,0,390},{134,0,1510},{4,10,235},{135,10,255},{ +4,10,194},{5,10,584},{6,11,11},{6,10,384},{7,11,187},{7,10,583},{10,10,761},{11, +10,760},{139,10,851},{4,11,522},{139,11,802},{135,0,493},{10,11,776},{13,11,345} +,{142,11,425},{146,0,37},{4,11,52},{135,11,661},{134,0,724},{134,0,829},{133,11, +520},{133,10,562},{4,11,281},{5,11,38},{7,11,194},{7,11,668},{7,11,1893},{137,11 +,397},{5,10,191},{137,10,271},{7,0,1537},{14,0,96},{143,0,73},{5,0,473},{11,0, +168},{4,10,470},{6,10,153},{7,10,1503},{7,10,1923},{10,10,701},{11,10,132},{11, +10,227},{11,10,320},{11,10,436},{11,10,525},{11,10,855},{12,10,41},{12,10,286},{ +13,10,103},{13,10,284},{14,10,255},{14,10,262},{15,10,117},{143,10,127},{133,0, +105},{5,0,438},{9,0,694},{12,0,627},{141,0,210},{133,10,327},{6,10,552},{7,10, +1754},{137,10,604},{134,0,1256},{152,0,11},{5,11,448},{11,11,98},{139,11,524},{7 +,0,1626},{5,10,80},{6,10,405},{7,10,403},{7,10,1502},{8,10,456},{9,10,487},{9,10 +,853},{9,10,889},{10,10,309},{11,10,721},{11,10,994},{12,10,430},{13,10,165},{14 +,11,16},{146,11,44},{132,0,779},{8,0,25},{138,0,826},{4,10,453},{5,10,887},{6,10 +,535},{8,10,6},{8,10,543},{136,10,826},{137,11,461},{140,11,632},{132,0,308},{ +135,0,741},{132,0,671},{7,0,150},{8,0,649},{136,0,1020},{9,0,99},{6,11,336},{8, +11,552},{9,11,285},{10,11,99},{139,11,568},{134,0,521},{5,0,339},{14,0,3},{15,0, +41},{15,0,166},{147,0,66},{6,11,423},{7,11,665},{7,11,1210},{9,11,218},{141,11, +222},{6,0,543},{5,10,101},{5,11,256},{6,10,88},{7,10,1677},{9,10,100},{10,10,677 +},{14,10,169},{14,10,302},{14,10,313},{15,10,48},{143,10,84},{4,10,310},{7,10, +708},{7,10,996},{9,10,795},{10,10,390},{10,10,733},{11,10,451},{12,10,249},{14, +10,115},{14,10,286},{143,10,100},{133,10,587},{13,11,417},{14,11,129},{143,11,15 +},{134,0,1358},{136,11,554},{132,10,498},{7,10,217},{8,10,140},{138,10,610},{135 +,11,989},{135,11,634},{6,0,155},{140,0,234},{135,11,462},{132,11,618},{134,0, +1628},{132,0,766},{4,11,339},{5,10,905},{135,11,259},{135,0,829},{4,11,759},{141 +,11,169},{7,0,1445},{4,10,456},{7,10,358},{7,10,1637},{8,10,643},{139,10,483},{5 +,0,486},{135,0,1349},{5,11,688},{135,11,712},{7,0,1635},{8,0,17},{10,0,217},{10, +0,295},{12,0,2},{140,11,2},{138,0,558},{150,10,56},{4,11,278},{5,11,465},{135,11 +,1367},{136,11,482},{133,10,535},{6,0,1362},{6,0,1461},{10,11,274},{10,11,625},{ +139,11,530},{5,0,599},{5,11,336},{6,11,341},{6,11,478},{6,11,1763},{136,11,386}, +{7,10,1748},{137,11,151},{134,0,1376},{133,10,539},{135,11,73},{135,11,1971},{ +139,11,283},{9,0,93},{139,0,474},{6,10,91},{135,10,435},{6,0,447},{5,11,396},{ +134,11,501},{4,10,16},{5,10,316},{5,10,842},{6,10,370},{6,10,1778},{8,10,166},{ +11,10,812},{12,10,206},{12,10,351},{14,10,418},{16,10,15},{16,10,34},{18,10,3},{ +19,10,3},{19,10,7},{20,10,4},{149,10,21},{7,0,577},{7,0,1432},{9,0,475},{9,0,505 +},{9,0,526},{9,0,609},{9,0,689},{9,0,726},{9,0,735},{9,0,738},{10,0,556},{10,0, +674},{10,0,684},{11,0,89},{11,0,202},{11,0,272},{11,0,380},{11,0,415},{11,0,505} +,{11,0,537},{11,0,550},{11,0,562},{11,0,640},{11,0,667},{11,0,688},{11,0,847},{ +11,0,927},{11,0,930},{11,0,940},{12,0,144},{12,0,325},{12,0,329},{12,0,389},{12, +0,403},{12,0,451},{12,0,515},{12,0,604},{12,0,616},{12,0,626},{13,0,66},{13,0, +131},{13,0,167},{13,0,236},{13,0,368},{13,0,411},{13,0,434},{13,0,453},{13,0,461 +},{13,0,474},{14,0,59},{14,0,60},{14,0,139},{14,0,152},{14,0,276},{14,0,353},{14 +,0,402},{15,0,28},{15,0,81},{15,0,123},{15,0,152},{18,0,136},{148,0,88},{4,11, +929},{133,11,799},{136,11,46},{142,0,307},{4,0,609},{7,0,756},{9,0,544},{11,0, +413},{144,0,25},{10,0,687},{7,10,619},{10,10,547},{11,10,122},{140,10,601},{4,0, +930},{133,0,947},{133,0,939},{142,0,21},{4,11,892},{133,11,770},{133,0,962},{5,0 +,651},{8,0,170},{9,0,61},{9,0,63},{10,0,23},{10,0,37},{10,0,834},{11,0,4},{11,0, +187},{11,0,281},{11,0,503},{11,0,677},{12,0,96},{12,0,130},{12,0,244},{14,0,5},{ +14,0,40},{14,0,162},{14,0,202},{146,0,133},{4,0,406},{5,0,579},{12,0,492},{150,0 +,15},{135,11,158},{135,0,597},{132,0,981},{132,10,888},{4,10,149},{138,10,368},{ +132,0,545},{4,10,154},{7,10,1134},{136,10,105},{135,11,2001},{134,0,1558},{4,10, +31},{6,10,429},{7,10,962},{9,10,458},{139,10,691},{132,10,312},{135,10,1642},{6, +0,17},{6,0,1304},{7,0,16},{7,0,1001},{9,0,886},{10,0,489},{10,0,800},{11,0,782}, +{12,0,320},{13,0,467},{14,0,145},{14,0,387},{143,0,119},{135,0,1982},{17,0,17},{ +7,11,1461},{140,11,91},{4,10,236},{132,11,602},{138,0,907},{136,0,110},{7,0,272} +,{19,0,53},{5,10,836},{5,10,857},{134,10,1680},{5,0,458},{7,11,1218},{136,11,303 +},{7,0,1983},{8,0,0},{8,0,171},{9,0,120},{9,0,732},{10,0,473},{11,0,656},{11,0, +998},{18,0,0},{18,0,2},{19,0,21},{10,10,68},{139,10,494},{137,11,662},{4,11,13}, +{5,11,567},{7,11,1498},{9,11,124},{11,11,521},{140,11,405},{4,10,81},{139,10,867 +},{135,11,1006},{7,11,800},{7,11,1783},{138,11,12},{9,0,295},{10,0,443},{5,10, +282},{8,10,650},{137,10,907},{132,11,735},{4,11,170},{4,10,775},{135,11,323},{6, +0,1844},{10,0,924},{11,11,844},{12,11,104},{140,11,625},{5,11,304},{7,11,1403},{ +140,11,498},{134,0,1232},{4,0,519},{10,0,70},{12,0,26},{14,0,17},{14,0,178},{15, +0,34},{149,0,12},{132,0,993},{4,11,148},{133,11,742},{6,0,31},{7,0,491},{7,0,530 +},{8,0,592},{11,0,53},{11,0,779},{12,0,167},{12,0,411},{14,0,14},{14,0,136},{15, +0,72},{16,0,17},{144,0,72},{133,0,907},{134,0,733},{133,11,111},{4,10,71},{5,10, +376},{7,10,119},{138,10,665},{136,0,55},{8,0,430},{136,11,430},{4,0,208},{5,0, +106},{6,0,531},{8,0,408},{9,0,188},{138,0,572},{12,0,56},{11,10,827},{14,10,34}, +{143,10,148},{134,0,1693},{133,11,444},{132,10,479},{140,0,441},{9,0,449},{10,0, +192},{138,0,740},{134,0,928},{4,0,241},{7,10,607},{136,10,99},{8,11,123},{15,11, +6},{144,11,7},{6,11,285},{8,11,654},{11,11,749},{12,11,190},{12,11,327},{13,11, +120},{13,11,121},{13,11,327},{15,11,47},{146,11,40},{4,10,41},{5,10,74},{7,10, +1627},{11,10,871},{140,10,619},{7,0,1525},{11,10,329},{11,10,965},{12,10,241},{ +14,10,354},{15,10,22},{148,10,63},{132,0,259},{135,11,183},{9,10,209},{137,10, +300},{5,11,937},{135,11,100},{133,10,98},{4,0,173},{5,0,312},{5,0,512},{135,0, +1285},{141,0,185},{7,0,1603},{7,0,1691},{9,0,464},{11,0,195},{12,0,279},{12,0, +448},{14,0,11},{147,0,102},{135,0,1113},{133,10,984},{4,0,452},{5,0,583},{135,0, +720},{4,0,547},{5,0,817},{6,0,433},{7,0,593},{7,0,1378},{8,0,161},{9,0,284},{10, +0,313},{139,0,886},{8,0,722},{4,10,182},{6,10,205},{135,10,220},{150,0,13},{4,10 +,42},{9,10,205},{9,10,786},{138,10,659},{6,0,289},{7,0,1670},{12,0,57},{151,0,4} +,{132,10,635},{14,0,43},{146,0,21},{139,10,533},{135,0,1694},{8,0,420},{139,0, +193},{135,0,409},{132,10,371},{4,10,272},{135,10,836},{5,10,825},{134,10,1640},{ +5,11,251},{5,11,956},{8,11,268},{9,11,214},{146,11,142},{138,0,308},{6,0,1863},{ +141,11,37},{137,10,879},{7,10,317},{135,10,569},{132,11,294},{134,0,790},{5,0, +1002},{136,0,745},{5,11,346},{5,11,711},{136,11,390},{135,0,289},{5,0,504},{11,0 +,68},{137,10,307},{4,0,239},{6,0,477},{7,0,1607},{139,0,617},{149,0,13},{133,0, +609},{133,11,624},{5,11,783},{7,11,1998},{135,11,2047},{133,10,525},{132,0,367}, +{132,11,594},{6,0,528},{133,10,493},{4,10,174},{135,10,911},{8,10,417},{137,10, +782},{132,0,694},{7,0,548},{137,0,58},{4,10,32},{5,10,215},{6,10,269},{7,10,1782 +},{7,10,1892},{10,10,16},{11,10,822},{11,10,954},{141,10,481},{140,0,687},{7,0, +1749},{136,10,477},{132,11,569},{133,10,308},{135,10,1088},{4,0,661},{138,0,1004 +},{5,11,37},{6,11,39},{6,11,451},{7,11,218},{7,11,667},{7,11,1166},{7,11,1687},{ +8,11,662},{144,11,2},{9,0,445},{12,0,53},{13,0,492},{5,10,126},{8,10,297},{9,10, +366},{140,10,374},{7,10,1551},{139,10,361},{148,0,74},{134,11,508},{135,0,213},{ +132,10,175},{132,10,685},{6,0,760},{6,0,834},{134,0,1248},{7,11,453},{7,11,635}, +{7,11,796},{8,11,331},{9,11,328},{9,11,330},{9,11,865},{10,11,119},{10,11,235},{ +11,11,111},{11,11,129},{11,11,240},{12,11,31},{12,11,66},{12,11,222},{12,11,269} +,{12,11,599},{12,11,689},{13,11,186},{13,11,364},{142,11,345},{7,0,1672},{139,0, +189},{133,10,797},{133,10,565},{6,0,1548},{6,11,98},{7,11,585},{135,11,702},{9,0 +,968},{15,0,192},{149,0,56},{4,10,252},{6,11,37},{7,11,299},{7,10,1068},{7,11, +1666},{8,11,195},{8,11,316},{9,11,178},{9,11,276},{9,11,339},{9,11,536},{10,11, +102},{10,11,362},{10,10,434},{10,11,785},{11,11,55},{11,11,149},{11,10,228},{11, +10,426},{11,11,773},{13,10,231},{13,11,416},{13,11,419},{14,11,38},{14,11,41},{ +14,11,210},{18,10,106},{148,10,87},{4,0,751},{11,0,390},{140,0,32},{4,0,409},{ +133,0,78},{11,11,458},{12,11,15},{140,11,432},{7,0,1602},{10,0,257},{10,0,698},{ +11,0,544},{11,0,585},{12,0,212},{13,0,307},{5,10,231},{7,10,601},{9,10,277},{9, +10,674},{10,10,178},{10,10,418},{10,10,509},{11,10,531},{12,10,113},{12,10,475}, +{13,10,99},{142,10,428},{6,0,473},{145,0,105},{6,0,1949},{15,0,156},{133,11,645} +,{7,10,1591},{144,10,43},{135,0,1779},{135,10,1683},{4,11,290},{135,11,1356},{ +134,0,763},{6,11,70},{7,11,1292},{10,11,762},{139,11,288},{142,0,29},{140,11,428 +},{7,0,883},{7,11,131},{7,11,422},{8,11,210},{140,11,573},{134,0,488},{4,10,399} +,{5,10,119},{5,10,494},{7,10,751},{137,10,556},{133,0,617},{132,11,936},{139,0, +50},{7,0,1518},{139,0,694},{137,0,785},{4,0,546},{135,0,2042},{7,11,716},{13,11, +97},{141,11,251},{132,11,653},{145,0,22},{134,0,1016},{4,0,313},{133,0,577},{136 +,11,657},{8,0,184},{141,0,433},{135,0,935},{6,0,720},{9,0,114},{146,11,80},{12,0 +,186},{12,0,292},{14,0,100},{18,0,70},{7,10,594},{7,10,851},{7,10,1858},{9,10, +411},{9,10,574},{9,10,666},{9,10,737},{10,10,346},{10,10,712},{11,10,246},{11,10 +,432},{11,10,517},{11,10,647},{11,10,679},{11,10,727},{12,10,304},{12,10,305},{ +12,10,323},{12,10,483},{12,10,572},{12,10,593},{12,10,602},{13,10,95},{13,10,101 +},{13,10,171},{13,10,315},{13,10,378},{13,10,425},{13,10,475},{14,10,63},{14,10, +380},{14,10,384},{15,10,133},{18,10,112},{148,10,72},{135,10,1093},{135,11,1836} +,{132,10,679},{137,10,203},{11,0,402},{12,0,109},{12,0,431},{13,0,179},{13,0,206 +},{14,0,217},{16,0,3},{148,0,53},{7,11,1368},{8,11,232},{8,11,361},{10,11,682},{ +138,11,742},{137,10,714},{5,0,886},{6,0,46},{6,0,1790},{7,0,14},{7,0,732},{7,0, +1654},{8,0,95},{8,0,327},{8,0,616},{9,0,892},{10,0,598},{10,0,769},{11,0,134},{ +11,0,747},{12,0,378},{14,0,97},{137,11,534},{4,0,969},{136,10,825},{137,11,27},{ +6,0,727},{142,11,12},{133,0,1021},{134,0,1190},{134,11,1657},{5,10,143},{5,10, +769},{6,10,1760},{7,10,682},{7,10,1992},{136,10,736},{132,0,153},{135,11,127},{ +133,0,798},{132,0,587},{6,0,598},{7,0,42},{8,0,695},{10,0,212},{11,0,158},{14,0, +196},{145,0,85},{133,10,860},{6,0,1929},{134,0,1933},{5,0,957},{5,0,1008},{9,0, +577},{12,0,141},{6,10,422},{7,10,0},{7,10,1544},{8,11,364},{11,10,990},{12,10, +453},{13,10,47},{141,10,266},{134,0,1319},{4,0,129},{135,0,465},{7,0,470},{7,0, +1057},{7,0,1201},{9,0,755},{11,0,906},{140,0,527},{7,0,908},{146,0,7},{5,0,148}, +{136,0,450},{5,10,515},{137,10,131},{7,10,1605},{11,10,962},{146,10,139},{132,10 +,646},{134,0,1166},{4,10,396},{7,10,728},{9,10,117},{13,10,202},{148,10,51},{6, +10,121},{6,10,124},{6,10,357},{7,10,1138},{7,10,1295},{8,10,162},{139,10,655},{ +14,0,374},{142,11,374},{138,0,253},{139,0,1003},{5,11,909},{9,11,849},{138,11, +805},{133,10,237},{7,11,525},{7,11,1579},{8,11,497},{136,11,573},{137,0,46},{132 +,0,879},{134,0,806},{135,0,1868},{6,0,1837},{134,0,1846},{6,0,730},{134,0,881},{ +7,0,965},{7,0,1460},{7,0,1604},{7,11,193},{7,11,397},{7,11,1105},{8,11,124},{8, +11,619},{9,11,305},{10,11,264},{11,11,40},{12,11,349},{13,11,134},{13,11,295},{ +14,11,155},{15,11,120},{146,11,105},{136,0,506},{143,0,10},{4,11,262},{7,11,342} +,{7,10,571},{7,10,1877},{10,10,366},{141,11,23},{133,11,641},{10,0,22},{9,10,513 +},{10,10,39},{12,10,122},{140,10,187},{135,11,1431},{150,11,49},{4,11,99},{6,11, +250},{6,11,346},{8,11,127},{138,11,81},{6,0,2014},{8,0,928},{10,0,960},{10,0,979 +},{140,0,996},{134,0,296},{132,11,915},{5,11,75},{9,11,517},{10,11,470},{12,11, +155},{141,11,224},{137,10,873},{4,0,854},{140,11,18},{134,0,587},{7,10,107},{7, +10,838},{8,10,550},{138,10,401},{11,0,636},{15,0,145},{17,0,34},{19,0,50},{23,0, +20},{11,10,588},{11,10,864},{11,10,968},{143,10,160},{135,11,216},{7,0,982},{10, +0,32},{143,0,56},{133,10,768},{133,11,954},{6,11,304},{7,11,1114},{8,11,418},{10 +,11,345},{11,11,341},{11,11,675},{141,11,40},{9,11,410},{139,11,425},{136,0,941} +,{5,0,435},{132,10,894},{5,0,85},{6,0,419},{7,0,134},{7,0,305},{7,0,361},{7,0, +1337},{8,0,71},{140,0,519},{140,0,688},{135,0,740},{5,0,691},{7,0,345},{9,0,94}, +{140,0,169},{5,0,183},{6,0,582},{10,0,679},{140,0,435},{134,11,14},{6,0,945},{ +135,0,511},{134,11,1708},{5,11,113},{6,11,243},{7,11,1865},{11,11,161},{16,11,37 +},{145,11,99},{132,11,274},{137,0,539},{7,0,1993},{8,0,684},{134,10,272},{6,0, +659},{134,0,982},{4,10,9},{5,10,128},{7,10,368},{11,10,480},{148,10,3},{134,0, +583},{132,0,803},{133,0,704},{4,0,179},{5,0,198},{133,0,697},{7,0,347},{7,0,971} +,{8,0,181},{10,0,711},{135,11,166},{136,10,682},{4,10,2},{7,10,545},{7,10,894},{ +136,11,521},{135,0,481},{132,0,243},{5,0,203},{7,0,19},{7,0,71},{7,0,113},{10,0, +405},{11,0,357},{142,0,240},{5,11,725},{5,11,727},{135,11,1811},{6,0,826},{137, +11,304},{7,0,1450},{139,0,99},{133,11,654},{134,0,492},{5,0,134},{6,0,408},{6,0, +495},{7,0,1593},{6,11,273},{10,11,188},{13,11,377},{146,11,77},{9,10,769},{140, +10,185},{135,11,410},{142,0,4},{4,0,665},{134,11,1785},{4,0,248},{7,0,137},{137, +0,349},{5,10,530},{142,10,113},{7,0,1270},{139,0,612},{132,11,780},{5,0,371},{ +135,0,563},{135,0,826},{6,0,1535},{23,0,21},{151,0,23},{4,0,374},{7,0,547},{7,0, +1700},{7,0,1833},{139,0,858},{133,10,556},{7,11,612},{8,11,545},{8,11,568},{8,11 +,642},{9,11,717},{10,11,541},{10,11,763},{11,11,449},{12,11,489},{13,11,153},{13 +,11,296},{14,11,138},{14,11,392},{15,11,50},{16,11,6},{16,11,12},{148,11,9},{9,0 +,311},{141,0,42},{8,10,16},{140,10,568},{6,0,1968},{6,0,2027},{138,0,991},{6,0, +1647},{7,0,1552},{7,0,2010},{9,0,494},{137,0,509},{133,11,948},{6,10,186},{137, +10,426},{134,0,769},{134,0,642},{132,10,585},{6,0,123},{7,0,214},{9,0,728},{10,0 +,157},{11,0,346},{11,0,662},{143,0,106},{142,11,381},{135,0,1435},{4,11,532},{5, +11,706},{135,11,662},{5,11,837},{134,11,1651},{4,10,93},{5,10,252},{6,10,229},{7 +,10,291},{9,10,550},{139,10,644},{148,0,79},{137,10,749},{134,0,1425},{137,10, +162},{4,11,362},{7,11,52},{7,11,303},{140,11,166},{132,10,381},{4,11,330},{7,11, +933},{7,11,2012},{136,11,292},{135,11,767},{4,0,707},{5,0,588},{6,0,393},{13,0, +106},{18,0,49},{147,0,41},{6,0,211},{7,0,1690},{11,0,486},{140,0,369},{137,11, +883},{4,11,703},{135,11,207},{4,0,187},{5,0,184},{5,0,690},{7,0,1869},{10,0,756} +,{139,0,783},{132,11,571},{134,0,1382},{5,0,175},{6,10,77},{6,10,157},{7,10,974} +,{7,10,1301},{7,10,1339},{7,10,1490},{7,10,1873},{137,10,628},{134,0,1493},{5,11 +,873},{133,11,960},{134,0,1007},{12,11,93},{12,11,501},{13,11,362},{14,11,151},{ +15,11,40},{15,11,59},{16,11,46},{17,11,25},{18,11,14},{18,11,134},{19,11,25},{19 +,11,69},{20,11,16},{20,11,19},{20,11,66},{21,11,23},{21,11,25},{150,11,42},{11, +10,919},{141,10,409},{134,0,219},{5,0,582},{6,0,1646},{7,0,99},{7,0,1962},{7,0, +1986},{8,0,515},{8,0,773},{9,0,23},{9,0,491},{12,0,620},{142,0,93},{133,0,851},{ +5,11,33},{134,11,470},{135,11,1291},{134,0,1278},{135,11,1882},{135,10,1489},{ +132,0,1000},{138,0,982},{8,0,762},{8,0,812},{137,0,910},{6,11,47},{7,11,90},{7, +11,664},{7,11,830},{7,11,1380},{7,11,2025},{8,11,448},{136,11,828},{4,0,98},{4,0 +,940},{6,0,1819},{6,0,1834},{6,0,1841},{7,0,1365},{8,0,859},{8,0,897},{8,0,918}, +{9,0,422},{9,0,670},{10,0,775},{10,0,894},{10,0,909},{10,0,910},{10,0,935},{11,0 +,210},{12,0,750},{12,0,755},{13,0,26},{13,0,457},{13,0,476},{16,0,100},{16,0,109 +},{18,0,173},{18,0,175},{8,10,398},{9,10,681},{139,10,632},{9,11,417},{137,11, +493},{136,10,645},{138,0,906},{134,0,1730},{134,10,20},{133,11,1019},{134,0,1185 +},{10,0,40},{136,10,769},{9,0,147},{134,11,208},{140,0,650},{5,0,209},{6,0,30},{ +11,0,56},{139,0,305},{132,0,553},{138,11,344},{6,11,68},{7,11,398},{7,11,448},{7 +,11,1629},{7,11,1813},{8,11,387},{8,11,442},{9,11,710},{10,11,282},{138,11,722}, +{5,0,597},{14,0,20},{142,11,20},{135,0,1614},{135,10,1757},{4,0,150},{5,0,303},{ +6,0,327},{135,10,937},{16,0,49},{7,10,1652},{144,11,49},{8,0,192},{10,0,78},{141 +,0,359},{135,0,786},{143,0,134},{6,0,1638},{7,0,79},{7,0,496},{9,0,138},{10,0, +336},{11,0,12},{12,0,412},{12,0,440},{142,0,305},{136,11,491},{4,10,579},{5,10, +226},{5,10,323},{135,10,960},{7,0,204},{7,0,415},{8,0,42},{10,0,85},{139,0,564}, +{132,0,614},{4,11,403},{5,11,441},{7,11,450},{11,11,101},{12,11,193},{141,11,430 +},{135,11,1927},{135,11,1330},{4,0,3},{5,0,247},{5,0,644},{7,0,744},{7,0,1207},{ +7,0,1225},{7,0,1909},{146,0,147},{136,0,942},{4,0,1019},{134,0,2023},{5,11,679}, +{133,10,973},{5,0,285},{9,0,67},{13,0,473},{143,0,82},{7,11,328},{137,11,326},{ +151,0,8},{6,10,135},{135,10,1176},{135,11,1128},{134,0,1309},{135,11,1796},{135, +10,314},{4,11,574},{7,11,350},{7,11,1024},{8,11,338},{9,11,677},{10,11,808},{139 +,11,508},{7,11,818},{17,11,14},{17,11,45},{18,11,75},{148,11,18},{146,10,4},{135 +,11,1081},{4,0,29},{6,0,532},{7,0,1628},{7,0,1648},{9,0,350},{10,0,433},{11,0,97 +},{11,0,557},{11,0,745},{12,0,289},{12,0,335},{12,0,348},{12,0,606},{13,0,116},{ +13,0,233},{13,0,466},{14,0,181},{14,0,209},{14,0,232},{14,0,236},{14,0,300},{16, +0,41},{148,0,97},{7,0,318},{6,10,281},{8,10,282},{8,10,480},{8,10,499},{9,10,198 +},{10,10,143},{10,10,169},{10,10,211},{10,10,417},{10,10,574},{11,10,147},{11,10 +,395},{12,10,75},{12,10,407},{12,10,608},{13,10,500},{142,10,251},{135,11,1676}, +{135,11,2037},{135,0,1692},{5,0,501},{7,0,1704},{9,0,553},{11,0,520},{12,0,557}, +{141,0,249},{6,0,1527},{14,0,324},{15,0,55},{15,0,80},{14,11,324},{15,11,55},{ +143,11,80},{135,10,1776},{8,0,988},{137,11,297},{132,10,419},{142,0,223},{139,11 +,234},{7,0,1123},{12,0,508},{14,0,102},{14,0,226},{144,0,57},{4,10,138},{7,10, +1012},{7,10,1280},{137,10,76},{7,0,1764},{5,10,29},{140,10,638},{134,0,2015},{ +134,0,1599},{138,11,56},{6,11,306},{7,11,1140},{7,11,1340},{8,11,133},{138,11, +449},{139,11,1011},{6,10,1710},{135,10,2038},{7,11,1763},{140,11,310},{6,0,129}, +{4,10,17},{5,10,23},{7,10,995},{11,10,383},{11,10,437},{12,10,460},{140,10,532}, +{5,11,329},{136,11,260},{133,10,862},{132,0,534},{6,0,811},{135,0,626},{132,11, +657},{4,0,25},{5,0,60},{6,0,504},{7,0,614},{7,0,1155},{12,0,0},{152,11,7},{7,0, +1248},{11,0,621},{139,0,702},{137,0,321},{8,10,70},{12,10,171},{141,10,272},{10, +10,233},{139,10,76},{4,0,379},{7,0,1397},{134,10,442},{5,11,66},{7,11,1896},{136 +,11,288},{134,11,1643},{134,10,1709},{4,11,21},{5,11,91},{5,11,570},{5,11,648},{ +5,11,750},{5,11,781},{6,11,54},{6,11,112},{6,11,402},{6,11,1732},{7,11,315},{7, +11,749},{7,11,1347},{7,11,1900},{9,11,78},{9,11,508},{10,11,611},{11,11,510},{11 +,11,728},{13,11,36},{14,11,39},{16,11,83},{17,11,124},{148,11,30},{4,0,118},{6,0 +,274},{6,0,361},{7,0,75},{141,0,441},{10,11,322},{10,11,719},{139,11,407},{147, +10,119},{12,11,549},{14,11,67},{147,11,60},{11,10,69},{12,10,105},{12,10,117},{ +13,10,213},{14,10,13},{14,10,62},{14,10,177},{14,10,421},{15,10,19},{146,10,141} +,{9,0,841},{137,10,309},{7,10,608},{7,10,976},{8,11,125},{8,11,369},{8,11,524},{ +9,10,146},{10,10,206},{10,11,486},{10,10,596},{11,11,13},{11,11,381},{11,11,736} +,{11,11,766},{11,11,845},{13,11,114},{13,10,218},{13,11,292},{14,11,47},{142,10, +153},{12,0,693},{135,11,759},{5,0,314},{6,0,221},{7,0,419},{10,0,650},{11,0,396} +,{12,0,156},{13,0,369},{14,0,333},{145,0,47},{6,11,1684},{6,11,1731},{7,11,356}, +{7,11,1932},{8,11,54},{8,11,221},{9,11,225},{9,11,356},{10,11,77},{10,11,446},{ +10,11,731},{12,11,404},{141,11,491},{132,11,375},{4,10,518},{135,10,1136},{4,0, +913},{4,11,411},{11,11,643},{140,11,115},{4,11,80},{133,11,44},{8,10,689},{137, +10,863},{138,0,880},{4,10,18},{7,10,145},{7,10,444},{7,10,1278},{8,10,49},{8,10, +400},{9,10,71},{9,10,250},{10,10,459},{12,10,160},{144,10,24},{136,0,475},{5,0, +1016},{5,11,299},{135,11,1083},{7,0,602},{8,0,179},{10,0,781},{140,0,126},{6,0, +329},{138,0,111},{135,0,1864},{4,11,219},{7,11,1761},{137,11,86},{6,0,1888},{6,0 +,1892},{6,0,1901},{6,0,1904},{9,0,953},{9,0,985},{9,0,991},{9,0,1001},{12,0,818} +,{12,0,846},{12,0,847},{12,0,861},{12,0,862},{12,0,873},{12,0,875},{12,0,877},{ +12,0,879},{12,0,881},{12,0,884},{12,0,903},{12,0,915},{12,0,926},{12,0,939},{15, +0,182},{15,0,219},{15,0,255},{18,0,191},{18,0,209},{18,0,211},{149,0,41},{5,11, +328},{135,11,918},{137,0,780},{12,0,82},{143,0,36},{133,10,1010},{5,0,821},{134, +0,1687},{133,11,514},{132,0,956},{134,0,1180},{10,0,112},{5,10,87},{7,10,313},{7 +,10,1103},{10,10,582},{11,10,389},{11,10,813},{12,10,385},{13,10,286},{14,10,124 +},{146,10,108},{5,0,71},{7,0,1407},{9,0,704},{10,0,261},{10,0,619},{11,0,547},{ +11,0,619},{143,0,157},{4,0,531},{5,0,455},{5,11,301},{6,11,571},{14,11,49},{146, +11,102},{132,10,267},{6,0,385},{7,0,2008},{9,0,337},{138,0,517},{133,11,726},{ +133,11,364},{4,11,76},{7,11,1550},{9,11,306},{9,11,430},{9,11,663},{10,11,683},{ +11,11,427},{11,11,753},{12,11,334},{12,11,442},{14,11,258},{14,11,366},{143,11, +131},{6,0,1865},{6,0,1879},{6,0,1881},{6,0,1894},{6,0,1908},{9,0,915},{9,0,926}, +{9,0,940},{9,0,943},{9,0,966},{9,0,980},{9,0,989},{9,0,1005},{9,0,1010},{12,0, +813},{12,0,817},{12,0,840},{12,0,843},{12,0,855},{12,0,864},{12,0,871},{12,0,872 +},{12,0,899},{12,0,905},{12,0,924},{15,0,171},{15,0,181},{15,0,224},{15,0,235},{ +15,0,251},{146,0,184},{137,11,52},{5,0,16},{6,0,86},{6,0,603},{7,0,292},{7,0,561 +},{8,0,257},{8,0,382},{9,0,721},{9,0,778},{11,0,581},{140,0,466},{4,0,486},{5,0, +491},{135,10,1121},{4,0,72},{6,0,265},{135,0,1300},{135,11,1183},{10,10,249},{ +139,10,209},{132,10,561},{137,11,519},{4,11,656},{4,10,760},{135,11,779},{9,10, +154},{140,10,485},{135,11,1793},{135,11,144},{136,10,255},{133,0,621},{4,10,368} +,{135,10,641},{135,11,1373},{7,11,554},{7,11,605},{141,11,10},{137,0,234},{5,0, +815},{6,0,1688},{134,0,1755},{5,11,838},{5,11,841},{134,11,1649},{7,0,1987},{7,0 +,2040},{136,0,743},{133,11,1012},{6,0,197},{136,0,205},{6,0,314},{134,11,314},{ +144,11,53},{6,11,251},{7,11,365},{7,11,1357},{7,11,1497},{8,11,154},{141,11,281} +,{133,11,340},{6,0,452},{7,0,312},{138,0,219},{138,0,589},{4,0,333},{9,0,176},{ +12,0,353},{141,0,187},{9,10,92},{147,10,91},{134,0,1110},{11,0,47},{139,11,495}, +{6,10,525},{8,10,806},{9,10,876},{140,10,284},{8,11,261},{9,11,144},{9,11,466},{ +10,11,370},{12,11,470},{13,11,144},{142,11,348},{137,11,897},{8,0,863},{8,0,864} +,{8,0,868},{8,0,884},{10,0,866},{10,0,868},{10,0,873},{10,0,911},{10,0,912},{10, +0,944},{12,0,727},{6,11,248},{9,11,546},{10,11,535},{11,11,681},{141,11,135},{6, +0,300},{135,0,1515},{134,0,1237},{139,10,958},{133,10,594},{140,11,250},{134,0, +1685},{134,11,567},{7,0,135},{8,0,7},{8,0,62},{9,0,243},{10,0,658},{10,0,697},{ +11,0,456},{139,0,756},{9,0,395},{138,0,79},{6,10,1641},{136,10,820},{4,10,302},{ +135,10,1766},{134,11,174},{135,10,1313},{135,0,631},{134,10,1674},{134,11,395},{ +138,0,835},{7,0,406},{7,0,459},{8,0,606},{139,0,726},{134,11,617},{134,0,979},{6 +,10,389},{7,10,149},{9,10,142},{138,10,94},{5,11,878},{133,11,972},{6,10,8},{7, +10,1881},{8,10,91},{136,11,511},{133,0,612},{132,11,351},{4,0,372},{7,0,482},{8, +0,158},{9,0,602},{9,0,615},{10,0,245},{10,0,678},{10,0,744},{11,0,248},{139,0, +806},{5,0,854},{135,0,1991},{132,11,286},{135,11,344},{7,11,438},{7,11,627},{7, +11,1516},{8,11,40},{9,11,56},{9,11,294},{10,11,30},{10,11,259},{11,11,969},{146, +11,148},{135,0,1492},{5,11,259},{7,11,414},{7,11,854},{142,11,107},{135,10,1746} +,{6,0,833},{134,0,998},{135,10,24},{6,0,750},{135,0,1739},{4,10,503},{135,10, +1661},{5,10,130},{7,10,1314},{9,10,610},{10,10,718},{11,10,601},{11,10,819},{11, +10,946},{140,10,536},{10,10,149},{11,10,280},{142,10,336},{132,11,738},{135,10, +1946},{5,0,195},{135,0,1685},{7,0,1997},{8,0,730},{139,0,1006},{151,11,17},{133, +11,866},{14,0,463},{14,0,470},{150,0,61},{5,0,751},{8,0,266},{11,0,578},{4,10, +392},{135,10,1597},{5,10,433},{9,10,633},{139,10,629},{135,0,821},{6,0,715},{134 +,0,1325},{133,11,116},{6,0,868},{132,11,457},{134,0,959},{6,10,234},{138,11,199} +,{7,0,1053},{7,10,1950},{8,10,680},{11,10,817},{147,10,88},{7,10,1222},{138,10, +386},{5,0,950},{5,0,994},{6,0,351},{134,0,1124},{134,0,1081},{7,0,1595},{6,10,5} +,{11,10,249},{12,10,313},{16,10,66},{145,10,26},{148,0,59},{5,11,527},{6,11,189} +,{135,11,859},{5,10,963},{6,10,1773},{11,11,104},{11,11,554},{15,11,60},{143,11, +125},{135,0,47},{137,0,684},{134,11,116},{134,0,1606},{134,0,777},{7,0,1020},{8, +10,509},{136,10,792},{135,0,1094},{132,0,350},{133,11,487},{4,11,86},{5,11,667}, +{5,11,753},{6,11,316},{6,11,455},{135,11,946},{7,0,1812},{13,0,259},{13,0,356},{ +14,0,242},{147,0,114},{132,10,931},{133,0,967},{4,0,473},{7,0,623},{8,0,808},{9, +0,871},{9,0,893},{11,0,38},{11,0,431},{12,0,112},{12,0,217},{12,0,243},{12,0,562 +},{12,0,663},{12,0,683},{13,0,141},{13,0,197},{13,0,227},{13,0,406},{13,0,487},{ +14,0,156},{14,0,203},{14,0,224},{14,0,256},{18,0,58},{150,0,0},{138,0,286},{7,10 +,943},{139,10,614},{135,10,1837},{150,11,45},{132,0,798},{4,0,222},{7,0,286},{ +136,0,629},{4,11,79},{7,11,1773},{10,11,450},{11,11,589},{13,11,332},{13,11,493} +,{14,11,183},{14,11,334},{14,11,362},{14,11,368},{14,11,376},{14,11,379},{19,11, +90},{19,11,103},{19,11,127},{148,11,90},{5,0,337},{11,0,513},{11,0,889},{11,0, +961},{12,0,461},{13,0,79},{15,0,121},{4,10,90},{5,10,545},{7,10,754},{9,10,186}, +{10,10,72},{10,10,782},{11,10,577},{11,10,610},{12,10,354},{12,10,362},{140,10, +595},{141,0,306},{136,0,146},{7,0,1646},{9,10,329},{11,10,254},{141,11,124},{4,0 +,465},{135,0,1663},{132,0,525},{133,11,663},{10,0,299},{18,0,74},{9,10,187},{11, +10,1016},{145,10,44},{7,0,165},{7,0,919},{4,10,506},{136,10,517},{5,10,295},{135 +,10,1680},{133,11,846},{134,0,1064},{5,11,378},{7,11,1402},{7,11,1414},{8,11,465 +},{9,11,286},{10,11,185},{10,11,562},{10,11,635},{11,11,31},{11,11,393},{12,11, +456},{13,11,312},{18,11,65},{18,11,96},{147,11,89},{132,0,596},{7,10,987},{9,10, +688},{10,10,522},{11,10,788},{140,10,566},{6,0,82},{7,0,138},{7,0,517},{7,0,1741 +},{11,0,238},{4,11,648},{134,10,1775},{7,0,1233},{7,10,700},{7,10,940},{8,10,514 +},{9,10,116},{9,10,535},{10,10,118},{11,10,107},{11,10,148},{11,10,922},{12,10, +254},{12,10,421},{142,10,238},{4,0,962},{6,0,1824},{8,0,894},{12,0,708},{12,0, +725},{14,0,451},{20,0,94},{22,0,59},{150,0,62},{5,11,945},{6,11,1656},{6,11,1787 +},{7,11,167},{8,11,824},{9,11,391},{10,11,375},{139,11,185},{5,0,495},{7,0,834}, +{9,0,733},{139,0,378},{4,10,743},{135,11,1273},{6,0,1204},{7,11,1645},{8,11,352} +,{137,11,249},{139,10,292},{133,0,559},{132,11,152},{9,0,499},{10,0,341},{15,0, +144},{19,0,49},{7,10,1283},{9,10,227},{11,10,325},{11,10,408},{14,10,180},{146, +10,47},{6,0,21},{6,0,1737},{7,0,1444},{136,0,224},{133,11,1006},{7,0,1446},{9,0, +97},{17,0,15},{5,10,81},{7,10,146},{7,10,1342},{8,10,53},{8,10,561},{8,10,694},{ +8,10,754},{9,10,115},{9,10,894},{10,10,462},{10,10,813},{11,10,230},{11,10,657}, +{11,10,699},{11,10,748},{12,10,119},{12,10,200},{12,10,283},{142,10,273},{5,10, +408},{137,10,747},{135,11,431},{135,11,832},{6,0,729},{134,0,953},{4,0,727},{8,0 +,565},{5,11,351},{7,11,264},{136,11,565},{134,0,1948},{5,0,519},{5,11,40},{7,11, +598},{7,11,1638},{8,11,78},{9,11,166},{9,11,640},{9,11,685},{9,11,773},{11,11, +215},{13,11,65},{14,11,172},{14,11,317},{145,11,6},{8,11,60},{9,11,343},{139,11, +769},{137,11,455},{134,0,1193},{140,0,790},{7,11,1951},{8,11,765},{8,11,772},{ +140,11,671},{7,11,108},{8,11,219},{8,11,388},{9,11,639},{9,11,775},{11,11,275},{ +140,11,464},{132,11,468},{7,10,30},{8,10,86},{8,10,315},{8,10,700},{9,10,576},{9 +,10,858},{11,10,310},{11,10,888},{11,10,904},{12,10,361},{141,10,248},{5,11,15}, +{6,11,56},{7,11,1758},{8,11,500},{9,11,730},{11,11,331},{13,11,150},{142,11,282} +,{4,0,402},{7,0,2},{8,0,323},{136,0,479},{138,10,839},{11,0,580},{142,0,201},{5, +0,59},{135,0,672},{137,10,617},{146,0,34},{134,11,1886},{4,0,961},{136,0,896},{6 +,0,1285},{5,11,205},{6,11,438},{137,11,711},{134,10,428},{7,10,524},{8,10,169},{ +8,10,234},{9,10,480},{138,10,646},{148,0,46},{141,0,479},{133,11,534},{6,0,2019} +,{134,10,1648},{4,0,85},{7,0,549},{7,10,1205},{138,10,637},{4,0,663},{5,0,94},{7 +,11,235},{7,11,1475},{15,11,68},{146,11,120},{6,11,443},{9,11,237},{9,11,571},{9 +,11,695},{10,11,139},{11,11,715},{12,11,417},{141,11,421},{132,0,783},{4,0,682}, +{8,0,65},{9,10,39},{10,10,166},{11,10,918},{12,10,635},{20,10,10},{22,10,27},{22 +,10,43},{150,10,52},{6,0,11},{135,0,187},{132,0,522},{4,0,52},{135,0,661},{4,0, +383},{133,0,520},{135,11,546},{11,0,343},{142,0,127},{4,11,578},{7,10,157},{7,11 +,624},{7,11,916},{8,10,279},{10,11,256},{11,11,87},{139,11,703},{134,10,604},{4, +0,281},{5,0,38},{7,0,194},{7,0,668},{7,0,1893},{137,0,397},{7,10,945},{11,10,713 +},{139,10,744},{139,10,1022},{9,0,635},{139,0,559},{5,11,923},{7,11,490},{12,11, +553},{13,11,100},{14,11,118},{143,11,75},{132,0,975},{132,10,567},{137,10,859},{ +7,10,1846},{7,11,1846},{8,10,628},{136,11,628},{148,0,116},{138,11,750},{14,0,51 +},{14,11,51},{15,11,7},{148,11,20},{132,0,858},{134,0,1075},{4,11,924},{133,10, +762},{136,0,535},{133,0,448},{10,10,784},{141,10,191},{133,10,298},{7,0,610},{ +135,0,1501},{7,10,633},{7,10,905},{7,10,909},{7,10,1538},{9,10,767},{140,10,636} +,{4,11,265},{7,11,807},{135,11,950},{5,11,93},{12,11,267},{144,11,26},{136,0,191 +},{139,10,301},{135,10,1970},{135,0,267},{4,0,319},{5,0,699},{138,0,673},{6,0, +336},{7,0,92},{7,0,182},{8,0,453},{8,0,552},{9,0,204},{9,0,285},{10,0,99},{11,0, +568},{11,0,950},{12,0,94},{16,0,20},{16,0,70},{19,0,55},{12,10,644},{144,10,90}, +{6,0,551},{7,0,1308},{7,10,845},{7,11,994},{8,10,160},{137,10,318},{19,11,1},{19 +,11,26},{150,11,9},{7,0,1406},{9,0,218},{141,0,222},{5,0,256},{138,0,69},{5,11, +233},{5,11,320},{6,11,140},{7,11,330},{136,11,295},{6,0,1980},{136,0,952},{4,0, +833},{137,11,678},{133,11,978},{4,11,905},{6,11,1701},{137,11,843},{138,10,735}, +{136,10,76},{17,0,39},{148,0,36},{18,0,81},{146,11,81},{14,0,352},{17,0,53},{18, +0,146},{18,0,152},{19,0,11},{150,0,54},{135,0,634},{138,10,841},{132,0,618},{4,0 +,339},{7,0,259},{17,0,73},{4,11,275},{140,11,376},{132,11,509},{7,11,273},{139, +11,377},{4,0,759},{13,0,169},{137,10,804},{6,10,96},{135,10,1426},{4,10,651},{ +133,10,289},{7,0,1075},{8,10,35},{9,10,511},{10,10,767},{147,10,118},{6,0,649},{ +6,0,670},{136,0,482},{5,0,336},{6,0,341},{6,0,478},{6,0,1763},{136,0,386},{5,11, +802},{7,11,2021},{8,11,805},{14,11,94},{15,11,65},{16,11,4},{16,11,77},{16,11,80 +},{145,11,5},{6,0,1035},{5,11,167},{5,11,899},{6,11,410},{137,11,777},{134,11, +1705},{5,0,924},{133,0,969},{132,10,704},{135,0,73},{135,11,10},{135,10,1078},{5 +,11,11},{6,11,117},{6,11,485},{7,11,1133},{9,11,582},{9,11,594},{11,11,21},{11, +11,818},{12,11,535},{141,11,86},{135,0,1971},{4,11,264},{7,11,1067},{8,11,204},{ +8,11,385},{139,11,953},{6,0,1458},{135,0,1344},{5,0,396},{134,0,501},{4,10,720}, +{133,10,306},{4,0,929},{5,0,799},{8,0,46},{8,0,740},{133,10,431},{7,11,646},{7, +11,1730},{11,11,446},{141,11,178},{7,0,276},{5,10,464},{6,10,236},{7,10,696},{7, +10,914},{7,10,1108},{7,10,1448},{9,10,15},{9,10,564},{10,10,14},{12,10,565},{13, +10,449},{14,10,53},{15,10,13},{16,10,64},{145,10,41},{4,0,892},{133,0,770},{6,10 +,1767},{12,10,194},{145,10,107},{135,0,158},{5,10,840},{138,11,608},{134,0,1432} +,{138,11,250},{8,11,794},{9,11,400},{10,11,298},{142,11,228},{151,0,25},{7,11, +1131},{135,11,1468},{135,0,2001},{9,10,642},{11,10,236},{142,10,193},{4,10,68},{ +5,10,634},{6,10,386},{7,10,794},{8,10,273},{9,10,563},{10,10,105},{10,10,171},{ +11,10,94},{139,10,354},{136,11,724},{132,0,478},{11,11,512},{13,11,205},{19,11, +30},{22,11,36},{151,11,19},{7,0,1461},{140,0,91},{6,11,190},{7,11,768},{135,11, +1170},{4,0,602},{8,0,211},{4,10,95},{7,10,416},{139,10,830},{7,10,731},{13,10,20 +},{143,10,11},{6,0,1068},{135,0,1872},{4,0,13},{5,0,567},{7,0,1498},{9,0,124},{ +11,0,521},{12,0,405},{135,11,1023},{135,0,1006},{132,0,735},{138,0,812},{4,0,170 +},{135,0,323},{6,11,137},{9,11,75},{9,11,253},{10,11,194},{138,11,444},{5,0,304} +,{7,0,1403},{5,10,864},{10,10,648},{11,10,671},{143,10,46},{135,11,1180},{133,10 +,928},{4,0,148},{133,0,742},{11,10,986},{140,10,682},{133,0,523},{135,11,1743},{ +7,0,730},{18,0,144},{19,0,61},{8,10,44},{9,10,884},{10,10,580},{11,10,399},{11, +10,894},{143,10,122},{5,11,760},{7,11,542},{8,11,135},{136,11,496},{136,0,981},{ +133,0,111},{10,0,132},{11,0,191},{11,0,358},{139,0,460},{7,11,319},{7,11,355},{7 +,11,763},{10,11,389},{145,11,43},{134,0,890},{134,0,1420},{136,11,557},{133,10, +518},{133,0,444},{135,0,1787},{135,10,1852},{8,0,123},{15,0,6},{144,0,7},{6,0, +2041},{10,11,38},{139,11,784},{136,0,932},{5,0,937},{135,0,100},{6,0,995},{4,11, +58},{5,11,286},{6,11,319},{7,11,402},{7,11,1254},{7,11,1903},{8,11,356},{140,11, +408},{4,11,389},{9,11,181},{9,11,255},{10,11,8},{10,11,29},{10,11,816},{11,11, +311},{11,11,561},{12,11,67},{141,11,181},{138,0,255},{5,0,138},{4,10,934},{136, +10,610},{4,0,965},{10,0,863},{138,0,898},{10,10,804},{138,10,832},{12,0,631},{8, +10,96},{9,10,36},{10,10,607},{11,10,423},{11,10,442},{12,10,309},{14,10,199},{15 +,10,90},{145,10,110},{134,0,1394},{4,0,652},{8,0,320},{22,0,6},{22,0,16},{9,10, +13},{9,10,398},{9,10,727},{10,10,75},{10,10,184},{10,10,230},{10,10,564},{10,10, +569},{11,10,973},{12,10,70},{12,10,189},{13,10,57},{141,10,257},{6,0,897},{134,0 +,1333},{4,0,692},{133,0,321},{133,11,373},{135,0,922},{5,0,619},{133,0,698},{137 +,10,631},{5,10,345},{135,10,1016},{9,0,957},{9,0,1018},{12,0,828},{12,0,844},{12 +,0,897},{12,0,901},{12,0,943},{15,0,180},{18,0,197},{18,0,200},{18,0,213},{18,0, +214},{146,0,226},{5,0,917},{134,0,1659},{135,0,1100},{134,0,1173},{134,0,1930},{ +5,0,251},{5,0,956},{8,0,268},{9,0,214},{146,0,142},{133,10,673},{137,10,850},{4, +10,287},{133,10,1018},{132,11,672},{5,0,346},{5,0,711},{8,0,390},{11,11,752},{ +139,11,885},{5,10,34},{10,10,724},{12,10,444},{13,10,354},{18,10,32},{23,10,24}, +{23,10,31},{152,10,5},{4,11,710},{134,11,606},{134,0,744},{134,10,382},{133,11, +145},{4,10,329},{7,11,884},{140,11,124},{4,11,467},{5,11,405},{134,11,544},{9,10 +,846},{138,10,827},{133,0,624},{9,11,372},{15,11,2},{19,11,10},{147,11,18},{4,11 +,387},{135,11,1288},{5,0,783},{7,0,1998},{135,0,2047},{132,10,906},{136,10,366}, +{135,11,550},{4,10,123},{4,10,649},{5,10,605},{7,10,1509},{136,10,36},{134,0, +1125},{132,0,594},{133,10,767},{135,11,1227},{136,11,467},{4,11,576},{135,11, +1263},{4,0,268},{7,0,1534},{135,11,1534},{4,10,273},{5,10,658},{5,11,919},{5,10, +995},{134,11,1673},{133,0,563},{134,10,72},{135,10,1345},{4,11,82},{5,11,333},{5 +,11,904},{6,11,207},{7,11,325},{7,11,1726},{8,11,101},{10,11,778},{139,11,220},{ +5,0,37},{6,0,39},{6,0,451},{7,0,218},{7,0,667},{7,0,1166},{7,0,1687},{8,0,662},{ +16,0,2},{133,10,589},{134,0,1332},{133,11,903},{134,0,508},{5,10,117},{6,10,514} +,{6,10,541},{7,10,1164},{7,10,1436},{8,10,220},{8,10,648},{10,10,688},{11,10,560 +},{140,11,147},{6,11,555},{135,11,485},{133,10,686},{7,0,453},{7,0,635},{7,0,796 +},{8,0,331},{9,0,330},{9,0,865},{10,0,119},{10,0,235},{11,0,111},{11,0,129},{11, +0,240},{12,0,31},{12,0,66},{12,0,222},{12,0,269},{12,0,599},{12,0,684},{12,0,689 +},{12,0,691},{142,0,345},{135,0,1834},{4,11,705},{7,11,615},{138,11,251},{136,11 +,345},{137,0,527},{6,0,98},{7,0,702},{135,0,991},{11,0,576},{14,0,74},{7,10,196} +,{10,10,765},{11,10,347},{11,10,552},{11,10,790},{12,10,263},{13,10,246},{13,10, +270},{13,10,395},{14,10,176},{14,10,190},{14,10,398},{14,10,412},{15,10,32},{15, +10,63},{16,10,88},{147,10,105},{134,11,90},{13,0,84},{141,0,122},{6,0,37},{7,0, +299},{7,0,1666},{8,0,195},{8,0,316},{9,0,178},{9,0,276},{9,0,339},{9,0,536},{10, +0,102},{10,0,362},{10,0,785},{11,0,55},{11,0,149},{11,0,773},{13,0,416},{13,0, +419},{14,0,38},{14,0,41},{142,0,210},{5,10,381},{135,10,1792},{7,11,813},{12,11, +497},{141,11,56},{7,10,616},{138,10,413},{133,0,645},{6,11,125},{135,11,1277},{ +132,0,290},{6,0,70},{7,0,1292},{10,0,762},{139,0,288},{6,10,120},{7,10,1188},{7, +10,1710},{8,10,286},{9,10,667},{11,10,592},{139,10,730},{135,11,1784},{7,0,1315} +,{135,11,1315},{134,0,1955},{135,10,1146},{7,0,131},{7,0,422},{8,0,210},{140,0, +573},{4,10,352},{135,10,687},{139,0,797},{143,0,38},{14,0,179},{15,0,151},{150,0 +,11},{7,0,488},{4,10,192},{5,10,49},{6,10,200},{6,10,293},{134,10,1696},{132,0, +936},{135,11,703},{6,11,160},{7,11,1106},{9,11,770},{10,11,618},{11,11,112},{140 +,11,413},{5,0,453},{134,0,441},{135,0,595},{132,10,650},{132,10,147},{6,0,991},{ +6,0,1182},{12,11,271},{145,11,109},{133,10,934},{140,11,221},{132,0,653},{7,0, +505},{135,0,523},{134,0,903},{135,11,479},{7,11,304},{9,11,646},{9,11,862},{10, +11,262},{11,11,696},{12,11,208},{15,11,79},{147,11,108},{146,0,80},{135,11,981}, +{142,0,432},{132,0,314},{137,11,152},{7,0,1368},{8,0,232},{8,0,361},{10,0,682},{ +138,0,742},{135,11,1586},{9,0,534},{4,11,434},{11,11,663},{12,11,210},{13,11,166 +},{13,11,310},{14,11,373},{147,11,43},{7,11,1091},{135,11,1765},{6,11,550},{135, +11,652},{137,0,27},{142,0,12},{4,10,637},{5,11,553},{7,11,766},{138,11,824},{7, +11,737},{8,11,298},{136,11,452},{7,0,736},{139,0,264},{134,0,1657},{133,11,292}, +{138,11,135},{6,0,844},{134,0,1117},{135,0,127},{9,10,867},{138,10,837},{6,0, +1184},{134,0,1208},{134,0,1294},{136,0,364},{6,0,1415},{7,0,1334},{11,0,125},{6, +10,170},{7,11,393},{8,10,395},{8,10,487},{10,11,603},{11,11,206},{141,10,147},{ +137,11,748},{4,11,912},{137,11,232},{4,10,535},{136,10,618},{137,0,792},{7,11, +1973},{136,11,716},{135,11,98},{5,0,909},{9,0,849},{138,0,805},{4,0,630},{132,0, +699},{5,11,733},{14,11,103},{150,10,23},{12,11,158},{18,11,8},{19,11,62},{20,11, +6},{22,11,4},{23,11,2},{151,11,9},{132,0,968},{132,10,778},{132,10,46},{5,10,811 +},{6,10,1679},{6,10,1714},{135,10,2032},{6,0,1446},{7,10,1458},{9,10,407},{139, +10,15},{7,0,206},{7,0,397},{7,0,621},{7,0,640},{8,0,124},{8,0,619},{9,0,305},{9, +0,643},{10,0,264},{10,0,628},{11,0,40},{12,0,349},{13,0,134},{13,0,295},{14,0, +155},{15,0,120},{18,0,105},{6,10,34},{7,10,1089},{8,10,708},{8,10,721},{9,10,363 +},{148,10,98},{4,0,262},{5,0,641},{135,0,342},{137,11,72},{4,0,99},{6,0,250},{6, +0,346},{8,0,127},{138,0,81},{132,0,915},{5,0,75},{9,0,517},{10,0,470},{12,0,155} +,{141,0,224},{132,10,462},{11,11,600},{11,11,670},{141,11,245},{142,0,83},{5,10, +73},{6,10,23},{134,10,338},{6,0,1031},{139,11,923},{7,11,164},{7,11,1571},{9,11, +107},{140,11,225},{134,0,1470},{133,0,954},{6,0,304},{8,0,418},{10,0,345},{11,0, +341},{139,0,675},{9,0,410},{139,0,425},{4,11,27},{5,11,484},{5,11,510},{6,11,434 +},{7,11,1000},{7,11,1098},{8,11,2},{136,11,200},{134,0,734},{140,11,257},{7,10, +725},{8,10,498},{139,10,268},{134,0,1822},{135,0,1798},{135,10,773},{132,11,460} +,{4,11,932},{133,11,891},{134,0,14},{132,10,583},{7,10,1462},{8,11,625},{139,10, +659},{5,0,113},{6,0,243},{6,0,1708},{7,0,1865},{11,0,161},{16,0,37},{17,0,99},{ +133,10,220},{134,11,76},{5,11,461},{135,11,1925},{140,0,69},{8,11,92},{137,11, +221},{139,10,803},{132,10,544},{4,0,274},{134,0,922},{132,0,541},{5,0,627},{6,10 +,437},{6,10,564},{11,10,181},{141,10,183},{135,10,1192},{7,0,166},{132,11,763},{ +133,11,253},{134,0,849},{9,11,73},{10,11,110},{14,11,185},{145,11,119},{5,11,212 +},{12,11,35},{141,11,382},{133,0,717},{137,0,304},{136,0,600},{133,0,654},{6,0, +273},{10,0,188},{13,0,377},{146,0,77},{4,10,790},{5,10,273},{134,10,394},{132,0, +543},{135,0,410},{11,0,98},{11,0,524},{141,0,87},{132,0,941},{135,11,1175},{4,0, +250},{7,0,1612},{11,0,186},{12,0,133},{6,10,127},{7,10,1511},{8,10,613},{12,10, +495},{12,10,586},{12,10,660},{12,10,668},{14,10,385},{15,10,118},{17,10,20},{146 +,10,98},{6,0,1785},{133,11,816},{134,0,1339},{7,0,961},{7,0,1085},{7,0,1727},{8, +0,462},{6,10,230},{135,11,1727},{9,0,636},{135,10,1954},{132,0,780},{5,11,869},{ +5,11,968},{6,11,1626},{8,11,734},{136,11,784},{4,11,542},{6,11,1716},{6,11,1727} +,{7,11,1082},{7,11,1545},{8,11,56},{8,11,118},{8,11,412},{8,11,564},{9,11,888},{ +9,11,908},{10,11,50},{10,11,423},{11,11,685},{11,11,697},{11,11,933},{12,11,299} +,{13,11,126},{13,11,136},{13,11,170},{141,11,190},{134,11,226},{4,11,232},{9,11, +202},{10,11,474},{140,11,433},{137,11,500},{5,0,529},{136,10,68},{132,10,654},{4 +,10,156},{7,10,998},{7,10,1045},{7,10,1860},{9,10,48},{9,10,692},{11,10,419},{ +139,10,602},{7,0,1276},{8,0,474},{9,0,652},{6,11,108},{7,11,1003},{7,11,1181},{ +136,11,343},{7,11,1264},{7,11,1678},{11,11,945},{12,11,341},{12,11,471},{140,11, +569},{134,11,1712},{5,0,948},{12,0,468},{19,0,96},{148,0,24},{4,11,133},{7,11, +711},{7,11,1298},{7,11,1585},{135,11,1929},{6,0,753},{140,0,657},{139,0,941},{6, +11,99},{7,11,1808},{145,11,57},{6,11,574},{7,11,428},{7,11,1250},{10,11,669},{11 +,11,485},{11,11,840},{12,11,300},{142,11,250},{4,0,532},{5,0,706},{135,0,662},{5 +,0,837},{6,0,1651},{139,0,985},{7,0,1861},{9,10,197},{10,10,300},{12,10,473},{13 +,10,90},{141,10,405},{137,11,252},{6,11,323},{135,11,1564},{4,0,330},{4,0,863},{ +7,0,933},{7,0,2012},{8,0,292},{7,11,461},{8,11,775},{138,11,435},{132,10,606},{4 +,11,655},{7,11,850},{17,11,75},{146,11,137},{135,0,767},{7,10,1978},{136,10,676} +,{132,0,641},{135,11,1559},{134,0,1233},{137,0,242},{17,0,114},{4,10,361},{133, +10,315},{137,0,883},{132,10,461},{138,0,274},{134,0,2008},{134,0,1794},{4,0,703} +,{135,0,207},{12,0,285},{132,10,472},{132,0,571},{5,0,873},{5,0,960},{8,0,823},{ +9,0,881},{136,11,577},{7,0,617},{10,0,498},{11,0,501},{12,0,16},{140,0,150},{138 +,10,747},{132,0,431},{133,10,155},{11,0,283},{11,0,567},{7,10,163},{8,10,319},{9 +,10,402},{10,10,24},{10,10,681},{11,10,200},{12,10,253},{12,10,410},{142,10,219} +,{4,11,413},{5,11,677},{8,11,432},{140,11,280},{9,0,401},{5,10,475},{7,10,1780}, +{11,10,297},{11,10,558},{14,10,322},{147,10,76},{6,0,781},{9,0,134},{10,0,2},{10 +,0,27},{10,0,333},{11,0,722},{143,0,1},{5,0,33},{6,0,470},{139,0,424},{135,0, +2006},{12,0,783},{135,10,1956},{136,0,274},{135,0,1882},{132,0,794},{135,0,1848} +,{5,10,944},{134,10,1769},{6,0,47},{7,0,90},{7,0,664},{7,0,830},{7,0,1380},{7,0, +2025},{8,0,448},{136,0,828},{132,10,144},{134,0,1199},{4,11,395},{139,11,762},{ +135,11,1504},{9,0,417},{137,0,493},{9,11,174},{10,11,164},{11,11,440},{11,11,841 +},{143,11,98},{134,11,426},{139,11,1002},{134,0,295},{134,0,816},{6,10,247},{137 +,10,555},{133,0,1019},{4,0,620},{5,11,476},{10,10,280},{138,10,797},{139,0,464}, +{5,11,76},{6,11,458},{6,11,497},{7,11,764},{7,11,868},{9,11,658},{10,11,594},{11 +,11,173},{11,11,566},{12,11,20},{12,11,338},{141,11,200},{134,0,208},{4,11,526}, +{7,11,1029},{135,11,1054},{132,11,636},{6,11,233},{7,11,660},{7,11,1124},{17,11, +31},{19,11,22},{151,11,14},{10,0,442},{133,10,428},{10,0,930},{140,0,778},{6,0, +68},{7,0,448},{7,0,1629},{7,0,1769},{7,0,1813},{8,0,442},{8,0,516},{9,0,710},{10 +,0,282},{10,0,722},{7,10,1717},{138,10,546},{134,0,1128},{11,0,844},{12,0,104},{ +140,0,625},{4,11,432},{135,11,824},{138,10,189},{133,0,787},{133,10,99},{4,11, +279},{7,11,301},{137,11,362},{8,0,491},{4,10,397},{136,10,555},{4,11,178},{133, +11,399},{134,0,711},{144,0,9},{4,0,403},{5,0,441},{7,0,450},{10,0,840},{11,0,101 +},{12,0,193},{141,0,430},{135,11,1246},{12,10,398},{20,10,39},{21,10,11},{150,10 +,41},{4,10,485},{7,10,353},{135,10,1523},{6,10,366},{7,10,1384},{7,10,1601},{135 +,11,1912},{7,0,396},{10,0,160},{135,11,396},{137,10,282},{134,11,1692},{4,10,157 +},{5,10,471},{6,11,202},{10,11,448},{11,11,208},{12,11,360},{17,11,117},{17,11, +118},{18,11,27},{148,11,67},{133,0,679},{137,0,326},{136,10,116},{7,11,872},{10, +11,516},{139,11,167},{132,11,224},{5,11,546},{7,11,35},{8,11,11},{8,11,12},{9,11 +,315},{9,11,533},{10,11,802},{11,11,166},{12,11,525},{142,11,243},{7,0,1128},{ +135,11,1920},{5,11,241},{8,11,242},{9,11,451},{10,11,667},{11,11,598},{140,11, +429},{6,0,737},{5,10,160},{7,10,363},{7,10,589},{10,10,170},{141,10,55},{135,0, +1796},{142,11,254},{4,0,574},{7,0,350},{7,0,1024},{8,0,338},{9,0,677},{138,0,808 +},{134,0,1096},{137,11,516},{7,0,405},{10,0,491},{4,10,108},{4,11,366},{139,10, +498},{11,11,337},{142,11,303},{134,11,1736},{7,0,1081},{140,11,364},{7,10,1005}, +{140,10,609},{7,0,1676},{4,10,895},{133,10,772},{135,0,2037},{6,0,1207},{11,11, +916},{142,11,419},{14,11,140},{148,11,41},{6,11,331},{136,11,623},{9,0,944},{9,0 +,969},{9,0,1022},{12,0,913},{12,0,936},{15,0,177},{15,0,193},{4,10,926},{133,10, +983},{5,0,354},{135,11,506},{8,0,598},{9,0,664},{138,0,441},{4,11,640},{133,11, +513},{137,0,297},{132,10,538},{6,10,294},{7,10,1267},{136,10,624},{7,0,1772},{7, +11,1888},{8,11,289},{11,11,45},{12,11,278},{140,11,537},{135,10,1325},{138,0,751 +},{141,0,37},{134,0,1828},{132,10,757},{132,11,394},{6,0,257},{135,0,1522},{4,0, +582},{9,0,191},{135,11,1931},{7,11,574},{7,11,1719},{137,11,145},{132,11,658},{ +10,0,790},{132,11,369},{9,11,781},{10,11,144},{11,11,385},{13,11,161},{13,11,228 +},{13,11,268},{148,11,107},{8,0,469},{10,0,47},{136,11,374},{6,0,306},{7,0,1140} +,{7,0,1340},{8,0,133},{138,0,449},{139,0,1011},{7,10,1875},{139,10,124},{4,11, +344},{6,11,498},{139,11,323},{137,0,299},{132,0,837},{133,11,906},{5,0,329},{8,0 +,260},{138,0,10},{134,0,1320},{4,0,657},{146,0,158},{135,0,1191},{152,0,7},{6,0, +1939},{8,0,974},{138,0,996},{135,0,1665},{11,11,126},{139,11,287},{143,0,8},{14, +11,149},{14,11,399},{143,11,57},{5,0,66},{7,0,1896},{136,0,288},{7,0,175},{10,0, +494},{5,10,150},{8,10,603},{9,10,593},{9,10,634},{10,10,173},{11,10,462},{11,10, +515},{13,10,216},{13,10,288},{142,10,400},{134,0,1643},{136,11,21},{4,0,21},{5,0 +,91},{5,0,648},{5,0,750},{5,0,781},{6,0,54},{6,0,112},{6,0,402},{6,0,1732},{7,0, +315},{7,0,749},{7,0,1427},{7,0,1900},{9,0,78},{9,0,508},{10,0,611},{10,0,811},{ +11,0,510},{11,0,728},{13,0,36},{14,0,39},{16,0,83},{17,0,124},{148,0,30},{4,0, +668},{136,0,570},{10,0,322},{10,0,719},{139,0,407},{135,11,1381},{136,11,193},{ +12,10,108},{141,10,291},{132,11,616},{136,11,692},{8,0,125},{8,0,369},{8,0,524}, +{10,0,486},{11,0,13},{11,0,381},{11,0,736},{11,0,766},{11,0,845},{13,0,114},{13, +0,292},{142,0,47},{134,0,1247},{6,0,1684},{6,0,1731},{7,0,356},{8,0,54},{8,0,221 +},{9,0,225},{9,0,356},{10,0,77},{10,0,446},{10,0,731},{12,0,404},{141,0,491},{ +135,10,1777},{4,11,305},{4,10,493},{144,10,55},{4,0,951},{6,0,1809},{6,0,1849},{ +8,0,846},{8,0,866},{8,0,899},{10,0,896},{12,0,694},{142,0,468},{5,11,214},{7,11, +603},{8,11,611},{9,11,686},{10,11,88},{11,11,459},{11,11,496},{12,11,463},{12,11 +,590},{13,11,0},{142,11,214},{132,0,411},{4,0,80},{133,0,44},{140,11,74},{143,0, +31},{7,0,669},{6,10,568},{7,10,1804},{8,10,362},{8,10,410},{8,10,830},{9,10,514} +,{11,10,649},{142,10,157},{7,0,673},{134,11,1703},{132,10,625},{134,0,1303},{5,0 +,299},{135,0,1083},{138,0,704},{6,0,275},{7,0,408},{6,10,158},{7,10,129},{7,10, +181},{8,10,276},{8,10,377},{10,10,523},{11,10,816},{12,10,455},{13,10,303},{142, +10,135},{4,0,219},{7,0,367},{7,0,1713},{7,0,1761},{9,0,86},{9,0,537},{10,0,165}, +{12,0,219},{140,0,561},{8,0,216},{4,10,1},{4,11,737},{6,11,317},{7,10,1143},{7, +10,1463},{9,10,207},{9,10,390},{9,10,467},{10,11,98},{11,11,294},{11,10,836},{12 +,11,60},{12,11,437},{13,11,64},{13,11,380},{142,11,430},{6,11,1758},{8,11,520},{ +9,11,345},{9,11,403},{142,11,350},{5,11,47},{10,11,242},{138,11,579},{5,11,139}, +{7,11,1168},{138,11,539},{135,0,1319},{4,10,295},{4,10,723},{5,10,895},{7,10, +1031},{8,10,199},{8,10,340},{9,10,153},{9,10,215},{10,10,21},{10,10,59},{10,10, +80},{10,10,224},{10,10,838},{11,10,229},{11,10,652},{12,10,192},{13,10,146},{142 +,10,91},{140,0,428},{137,10,51},{133,0,514},{5,10,309},{140,10,211},{6,0,1010},{ +5,10,125},{8,10,77},{138,10,15},{4,0,55},{5,0,301},{6,0,571},{142,0,49},{146,0, +102},{136,11,370},{4,11,107},{7,11,613},{8,11,358},{8,11,439},{8,11,504},{9,11, +501},{10,11,383},{139,11,477},{132,11,229},{133,0,364},{133,10,439},{4,11,903},{ +135,11,1816},{11,0,379},{140,10,76},{4,0,76},{4,0,971},{7,0,1550},{9,0,306},{9,0 +,430},{9,0,663},{10,0,683},{10,0,921},{11,0,427},{11,0,753},{12,0,334},{12,0,442 +},{14,0,258},{14,0,366},{143,0,131},{137,0,52},{4,11,47},{6,11,373},{7,11,452},{ +7,11,543},{7,11,1714},{7,11,1856},{9,11,6},{11,11,257},{139,11,391},{4,10,8},{7, +10,1152},{7,10,1153},{7,10,1715},{9,10,374},{10,10,478},{139,10,648},{4,11,785}, +{133,11,368},{135,10,1099},{135,11,860},{5,11,980},{134,11,1754},{134,0,1258},{6 +,0,1058},{6,0,1359},{7,11,536},{7,11,1331},{136,11,143},{4,0,656},{135,0,779},{ +136,10,87},{5,11,19},{6,11,533},{146,11,126},{7,0,144},{138,10,438},{5,11,395},{ +5,11,951},{134,11,1776},{135,0,1373},{7,0,554},{7,0,605},{141,0,10},{4,10,69},{5 +,10,122},{9,10,656},{138,10,464},{5,10,849},{134,10,1633},{5,0,838},{5,0,841},{ +134,0,1649},{133,0,1012},{139,10,499},{7,10,476},{7,10,1592},{138,10,87},{6,0, +251},{7,0,365},{7,0,1357},{7,0,1497},{8,0,154},{141,0,281},{132,11,441},{132,11, +695},{7,11,497},{9,11,387},{147,11,81},{133,0,340},{14,10,283},{142,11,283},{134 +,0,810},{135,11,1894},{139,0,495},{5,11,284},{6,11,49},{6,11,350},{7,11,1},{7,11 +,377},{7,11,1693},{8,11,18},{8,11,678},{9,11,161},{9,11,585},{9,11,671},{9,11, +839},{11,11,912},{141,11,427},{5,10,859},{7,10,1160},{8,10,107},{9,10,291},{9,10 +,439},{10,10,663},{11,10,609},{140,10,197},{8,0,261},{9,0,144},{9,0,466},{10,0, +370},{12,0,470},{13,0,144},{142,0,348},{137,0,897},{6,0,248},{9,0,546},{10,0,535 +},{11,0,681},{141,0,135},{4,0,358},{135,0,1496},{134,0,567},{136,0,445},{4,10, +117},{6,10,372},{7,10,1905},{142,10,323},{4,10,722},{139,10,471},{6,0,697},{134, +0,996},{7,11,2007},{9,11,101},{9,11,450},{10,11,66},{10,11,842},{11,11,536},{140 +,11,587},{132,0,577},{134,0,1336},{9,10,5},{12,10,216},{12,10,294},{12,10,298},{ +12,10,400},{12,10,518},{13,10,229},{143,10,139},{6,0,174},{138,0,917},{134,10, +1774},{5,10,12},{7,10,375},{9,10,88},{9,10,438},{11,11,62},{139,10,270},{134,11, +1766},{6,11,0},{7,11,84},{7,10,816},{7,10,1241},{9,10,283},{9,10,520},{10,10,213 +},{10,10,307},{10,10,463},{10,10,671},{10,10,746},{11,10,401},{11,10,794},{11,11 +,895},{12,10,517},{17,11,11},{18,10,107},{147,10,115},{5,0,878},{133,0,972},{6, +11,1665},{7,11,256},{7,11,1388},{138,11,499},{4,10,258},{136,10,639},{4,11,22},{ +5,11,10},{6,10,22},{7,11,848},{7,10,903},{7,10,1963},{8,11,97},{138,10,577},{5, +10,681},{136,10,782},{133,11,481},{132,0,351},{4,10,664},{5,10,804},{139,10,1013 +},{6,11,134},{7,11,437},{7,11,959},{9,11,37},{14,11,285},{14,11,371},{144,11,60} +,{7,11,486},{8,11,155},{11,11,93},{140,11,164},{132,0,286},{7,0,438},{7,0,627},{ +7,0,1516},{8,0,40},{9,0,56},{9,0,294},{10,0,30},{11,0,969},{11,0,995},{146,0,148 +},{5,11,591},{135,11,337},{134,0,1950},{133,10,32},{138,11,500},{5,11,380},{5,11 +,650},{136,11,310},{4,11,364},{7,11,1156},{7,11,1187},{137,11,409},{4,0,738},{ +134,11,482},{4,11,781},{6,11,487},{7,11,926},{8,11,263},{139,11,500},{135,11,418 +},{6,0,2047},{10,0,969},{4,10,289},{7,10,629},{7,10,1698},{7,10,1711},{140,10, +215},{6,10,450},{136,10,109},{134,0,818},{136,10,705},{133,0,866},{4,11,94},{135 +,11,1265},{132,11,417},{134,0,1467},{135,10,1238},{4,0,972},{6,0,1851},{134,0, +1857},{134,0,355},{133,0,116},{132,0,457},{135,11,1411},{4,11,408},{4,11,741},{ +135,11,500},{134,10,26},{142,11,137},{5,0,527},{6,0,189},{7,0,859},{136,0,267},{ +11,0,104},{11,0,554},{15,0,60},{143,0,125},{134,0,1613},{4,10,414},{5,10,467},{9 +,10,654},{10,10,451},{12,10,59},{141,10,375},{135,10,17},{134,0,116},{135,11,541 +},{135,10,955},{6,11,73},{135,11,177},{133,11,576},{134,0,886},{133,0,487},{4,0, +86},{5,0,667},{5,0,753},{6,0,316},{6,0,455},{135,0,946},{142,11,231},{150,0,45}, +{134,0,863},{134,0,1953},{6,10,280},{10,10,502},{11,10,344},{140,10,38},{4,0,79} +,{7,0,1773},{10,0,450},{11,0,589},{13,0,332},{13,0,493},{14,0,183},{14,0,334},{ +14,0,362},{14,0,368},{14,0,376},{14,0,379},{19,0,90},{19,0,103},{19,0,127},{148, +0,90},{5,10,45},{7,10,1161},{11,10,448},{11,10,880},{13,10,139},{13,10,407},{15, +10,16},{17,10,95},{18,10,66},{18,10,88},{18,10,123},{149,10,7},{136,10,777},{4, +10,410},{135,10,521},{135,10,1778},{135,11,538},{142,0,381},{133,11,413},{134,0, +1142},{6,0,1189},{136,11,495},{5,0,663},{6,0,1962},{134,0,2003},{7,11,54},{8,11, +312},{10,11,191},{10,11,614},{140,11,567},{132,10,436},{133,0,846},{10,0,528},{ +11,0,504},{7,10,1587},{135,10,1707},{5,0,378},{8,0,465},{9,0,286},{10,0,185},{10 +,0,562},{10,0,635},{11,0,31},{11,0,393},{13,0,312},{18,0,65},{18,0,96},{147,0,89 +},{7,0,899},{14,0,325},{6,11,468},{7,11,567},{7,11,1478},{8,11,530},{142,11,290} +,{7,0,1880},{9,0,680},{139,0,798},{134,0,1770},{132,0,648},{150,11,35},{5,0,945} +,{6,0,1656},{6,0,1787},{7,0,167},{8,0,824},{9,0,391},{10,0,375},{139,0,185},{6, +11,484},{135,11,822},{134,0,2046},{7,0,1645},{8,0,352},{137,0,249},{132,0,152},{ +6,0,611},{135,0,1733},{6,11,1724},{135,11,2022},{133,0,1006},{141,11,96},{5,0, +420},{135,0,1449},{146,11,149},{135,0,832},{135,10,663},{133,0,351},{5,0,40},{7, +0,598},{7,0,1638},{8,0,78},{9,0,166},{9,0,640},{9,0,685},{9,0,773},{11,0,215},{ +13,0,65},{14,0,172},{14,0,317},{145,0,6},{8,0,60},{9,0,343},{139,0,769},{134,0, +1354},{132,0,724},{137,0,745},{132,11,474},{7,0,1951},{8,0,765},{8,0,772},{140,0 +,671},{7,0,108},{8,0,219},{8,0,388},{9,0,775},{11,0,275},{140,0,464},{137,0,639} +,{135,10,503},{133,11,366},{5,0,15},{6,0,56},{7,0,1758},{8,0,500},{9,0,730},{11, +0,331},{13,0,150},{14,0,282},{5,11,305},{9,11,560},{141,11,208},{4,10,113},{5,10 +,163},{5,10,735},{7,10,1009},{9,10,9},{9,10,771},{12,10,90},{13,10,138},{13,10, +410},{143,10,128},{4,10,324},{138,10,104},{135,11,466},{142,11,27},{134,0,1886}, +{5,0,205},{6,0,438},{9,0,711},{4,11,480},{6,11,167},{6,11,302},{6,11,1642},{7,11 +,130},{7,11,656},{7,11,837},{7,11,1547},{7,11,1657},{8,11,429},{9,11,228},{10,11 +,643},{13,11,289},{13,11,343},{147,11,101},{134,0,865},{6,0,2025},{136,0,965},{7 +,11,278},{10,11,739},{11,11,708},{141,11,348},{133,0,534},{135,11,1922},{137,0, +691},{4,10,935},{133,10,823},{6,0,443},{9,0,237},{9,0,571},{9,0,695},{10,0,139}, +{11,0,715},{12,0,417},{141,0,421},{5,10,269},{7,10,434},{7,10,891},{8,10,339},{9 +,10,702},{11,10,594},{11,10,718},{145,10,100},{6,0,1555},{7,0,878},{9,10,485},{ +141,10,264},{134,10,1713},{7,10,1810},{11,10,866},{12,10,103},{141,10,495},{135, +10,900},{6,0,1410},{9,11,316},{139,11,256},{4,0,995},{135,0,1033},{132,0,578},{ +10,0,881},{12,0,740},{12,0,743},{140,0,759},{132,0,822},{133,0,923},{142,10,143} +,{135,11,1696},{6,11,363},{7,11,1955},{136,11,725},{132,0,924},{133,0,665},{135, +10,2029},{135,0,1901},{4,0,265},{6,0,1092},{6,0,1417},{7,0,807},{135,0,950},{5,0 +,93},{12,0,267},{141,0,498},{135,0,1451},{5,11,813},{135,11,2046},{5,10,625},{ +135,10,1617},{135,0,747},{6,0,788},{137,0,828},{7,0,184},{11,0,307},{11,0,400},{ +15,0,130},{5,11,712},{7,11,1855},{8,10,425},{8,10,693},{9,10,720},{10,10,380},{ +10,10,638},{11,11,17},{11,10,473},{12,10,61},{13,11,321},{144,11,67},{135,0,198} +,{6,11,320},{7,11,781},{7,11,1921},{9,11,55},{10,11,186},{10,11,273},{10,11,664} +,{10,11,801},{11,11,996},{11,11,997},{13,11,157},{142,11,170},{136,11,271},{135, +0,994},{7,11,103},{7,11,863},{11,11,184},{14,11,299},{145,11,62},{11,10,551},{ +142,10,159},{5,0,233},{5,0,320},{6,0,140},{8,0,295},{8,0,615},{136,11,615},{133, +0,978},{4,0,905},{6,0,1701},{137,0,843},{132,10,168},{4,0,974},{8,0,850},{12,0, +709},{12,0,768},{140,0,786},{135,10,91},{152,0,6},{138,10,532},{135,10,1884},{ +132,0,509},{6,0,1307},{135,0,273},{5,11,77},{7,11,1455},{10,11,843},{19,11,73},{ +150,11,5},{132,11,458},{135,11,1420},{6,11,109},{138,11,382},{6,0,201},{6,11,330 +},{7,10,70},{7,11,1084},{10,10,240},{11,11,142},{147,10,93},{7,0,1041},{140,11, +328},{133,11,354},{134,0,1040},{133,0,693},{134,0,774},{139,0,234},{132,0,336},{ +7,0,1399},{139,10,392},{20,0,22},{148,11,22},{5,0,802},{7,0,2021},{136,0,805},{5 +,0,167},{5,0,899},{6,0,410},{137,0,777},{137,0,789},{134,0,1705},{7,10,655},{135 +,10,1844},{4,10,145},{6,10,176},{7,10,395},{137,10,562},{132,10,501},{135,0,10}, +{5,0,11},{6,0,117},{6,0,485},{7,0,1133},{9,0,582},{9,0,594},{10,0,82},{11,0,21}, +{11,0,818},{12,0,535},{13,0,86},{20,0,91},{23,0,13},{134,10,509},{4,0,264},{7,0, +1067},{8,0,204},{8,0,385},{139,0,953},{139,11,737},{138,0,56},{134,0,1917},{133, +0,470},{10,11,657},{14,11,297},{142,11,361},{135,11,412},{7,0,1198},{7,11,1198}, +{8,11,556},{14,11,123},{14,11,192},{143,11,27},{7,11,1985},{14,11,146},{15,11,42 +},{16,11,23},{17,11,86},{146,11,17},{11,0,1015},{136,11,122},{4,10,114},{9,10, +492},{13,10,462},{142,10,215},{4,10,77},{5,10,361},{6,10,139},{6,10,401},{6,10, +404},{7,10,413},{7,10,715},{7,10,1716},{11,10,279},{12,10,179},{12,10,258},{13, +10,244},{142,10,358},{134,10,1717},{7,10,1061},{8,10,82},{11,10,250},{12,10,420} +,{141,10,184},{133,0,715},{135,10,724},{9,0,919},{9,0,922},{9,0,927},{9,0,933},{ +9,0,962},{9,0,1000},{9,0,1002},{9,0,1021},{12,0,890},{12,0,907},{12,0,930},{15,0 +,207},{15,0,228},{15,0,238},{149,0,61},{8,0,794},{9,0,400},{10,0,298},{142,0,228 +},{5,11,430},{5,11,932},{6,11,131},{7,11,417},{9,11,522},{11,11,314},{141,11,390 +},{132,0,867},{8,0,724},{132,11,507},{137,11,261},{4,11,343},{133,11,511},{6,0, +190},{7,0,768},{135,0,1170},{6,10,513},{135,10,1052},{7,11,455},{138,11,591},{ +134,0,1066},{137,10,899},{14,0,67},{147,0,60},{4,0,948},{18,0,174},{146,0,176},{ +135,0,1023},{7,10,1417},{12,10,382},{17,10,48},{152,10,12},{134,11,575},{132,0, +764},{6,10,545},{7,10,565},{7,10,1669},{10,10,114},{11,10,642},{140,10,618},{6,0 +,137},{9,0,75},{9,0,253},{10,0,194},{138,0,444},{4,0,756},{133,10,5},{8,0,1008}, +{135,10,192},{132,0,842},{11,0,643},{12,0,115},{136,10,763},{139,0,67},{133,10, +759},{4,0,821},{5,0,760},{7,0,542},{8,0,135},{8,0,496},{135,11,580},{7,10,370},{ +7,10,1007},{7,10,1177},{135,10,1565},{135,10,1237},{140,0,736},{7,0,319},{7,0, +355},{7,0,763},{10,0,389},{145,0,43},{8,11,333},{138,11,182},{4,10,87},{5,10,250 +},{141,10,298},{138,0,786},{134,0,2044},{8,11,330},{140,11,477},{135,11,1338},{ +132,11,125},{134,0,1030},{134,0,1083},{132,11,721},{135,10,814},{7,11,776},{8,11 +,145},{147,11,56},{134,0,1226},{4,10,57},{7,10,1195},{7,10,1438},{7,10,1548},{7, +10,1835},{7,10,1904},{9,10,757},{10,10,604},{139,10,519},{7,11,792},{8,11,147},{ +10,11,821},{139,11,1021},{137,11,797},{4,0,58},{5,0,286},{6,0,319},{7,0,402},{7, +0,1254},{7,0,1903},{8,0,356},{140,0,408},{4,0,389},{4,0,815},{9,0,181},{9,0,255} +,{10,0,8},{10,0,29},{10,0,816},{11,0,311},{11,0,561},{12,0,67},{141,0,181},{7,11 +,1472},{135,11,1554},{7,11,1071},{7,11,1541},{7,11,1767},{7,11,1806},{7,11,1999} +,{9,11,248},{10,11,400},{11,11,162},{11,11,178},{11,11,242},{12,11,605},{15,11, +26},{144,11,44},{5,11,168},{5,11,930},{8,11,74},{9,11,623},{12,11,500},{12,11, +579},{13,11,41},{143,11,93},{6,11,220},{7,11,1101},{141,11,105},{5,0,474},{7,0, +507},{4,10,209},{7,11,507},{135,10,902},{132,0,427},{6,0,413},{7,10,335},{7,10, +1437},{7,10,1668},{8,10,553},{8,10,652},{8,10,656},{9,10,558},{11,10,743},{149, +10,18},{132,0,730},{6,11,19},{7,11,1413},{139,11,428},{133,0,373},{132,10,559},{ +7,11,96},{8,11,401},{137,11,896},{7,0,799},{7,0,1972},{5,10,1017},{138,10,511},{ +135,0,1793},{7,11,1961},{7,11,1965},{8,11,702},{136,11,750},{8,11,150},{8,11,737 +},{140,11,366},{132,0,322},{133,10,709},{8,11,800},{9,11,148},{9,11,872},{9,11, +890},{11,11,309},{11,11,1001},{13,11,267},{141,11,323},{134,10,1745},{7,0,290},{ +136,10,206},{7,0,1651},{145,0,89},{139,0,2},{132,0,672},{6,0,1860},{8,0,905},{10 +,0,844},{10,0,846},{10,0,858},{12,0,699},{12,0,746},{140,0,772},{135,11,424},{ +133,11,547},{133,0,737},{5,11,490},{6,11,615},{6,11,620},{135,11,683},{6,0,746}, +{134,0,1612},{132,10,776},{9,11,385},{149,11,17},{133,0,145},{135,10,1272},{7,0, +884},{140,0,124},{4,0,387},{135,0,1288},{5,11,133},{136,10,406},{136,11,187},{6, +0,679},{8,11,8},{138,11,0},{135,0,550},{135,11,798},{136,11,685},{7,11,1086},{ +145,11,46},{8,10,175},{10,10,168},{138,10,573},{135,0,1305},{4,0,576},{135,0, +1263},{6,0,686},{134,0,1563},{134,0,607},{5,0,919},{134,0,1673},{148,0,37},{8,11 +,774},{10,11,670},{140,11,51},{133,10,784},{139,10,882},{4,0,82},{5,0,333},{5,0, +904},{6,0,207},{7,0,325},{7,0,1726},{8,0,101},{10,0,778},{139,0,220},{135,11,371 +},{132,0,958},{133,0,903},{4,11,127},{5,11,350},{6,11,356},{8,11,426},{9,11,572} +,{10,11,247},{139,11,312},{140,0,147},{6,11,59},{7,11,885},{9,11,603},{141,11, +397},{10,0,367},{9,10,14},{9,10,441},{139,10,9},{11,10,966},{12,10,287},{13,10, +342},{13,10,402},{15,10,110},{143,10,163},{134,0,690},{132,0,705},{9,0,651},{11, +0,971},{13,0,273},{7,10,1428},{7,10,1640},{7,10,1867},{9,10,169},{9,10,182},{9, +10,367},{9,10,478},{9,10,506},{9,10,551},{9,10,557},{9,10,648},{9,10,697},{9,10, +705},{9,10,725},{9,10,787},{9,10,794},{10,10,198},{10,10,214},{10,10,267},{10,10 +,275},{10,10,456},{10,10,551},{10,10,561},{10,10,613},{10,10,627},{10,10,668},{ +10,10,675},{10,10,691},{10,10,695},{10,10,707},{10,10,715},{11,10,183},{11,10, +201},{11,10,262},{11,10,352},{11,10,439},{11,10,493},{11,10,572},{11,10,591},{11 +,10,608},{11,10,611},{11,10,646},{11,10,674},{11,10,711},{11,10,751},{11,10,761} +,{11,10,776},{11,10,785},{11,10,850},{11,10,853},{11,10,862},{11,10,865},{11,10, +868},{11,10,875},{11,10,898},{11,10,902},{11,10,903},{11,10,910},{11,10,932},{11 +,10,942},{11,10,957},{11,10,967},{11,10,972},{12,10,148},{12,10,195},{12,10,220} +,{12,10,237},{12,10,318},{12,10,339},{12,10,393},{12,10,445},{12,10,450},{12,10, +474},{12,10,505},{12,10,509},{12,10,533},{12,10,591},{12,10,594},{12,10,597},{12 +,10,621},{12,10,633},{12,10,642},{13,10,59},{13,10,60},{13,10,145},{13,10,239},{ +13,10,250},{13,10,329},{13,10,344},{13,10,365},{13,10,372},{13,10,387},{13,10, +403},{13,10,414},{13,10,456},{13,10,470},{13,10,478},{13,10,483},{13,10,489},{14 +,10,55},{14,10,57},{14,10,81},{14,10,90},{14,10,148},{14,10,239},{14,10,266},{14 +,10,321},{14,10,326},{14,10,327},{14,10,330},{14,10,347},{14,10,355},{14,10,401} +,{14,10,404},{14,10,411},{14,10,414},{14,10,416},{14,10,420},{15,10,61},{15,10, +74},{15,10,87},{15,10,88},{15,10,94},{15,10,96},{15,10,116},{15,10,149},{15,10, +154},{16,10,50},{16,10,63},{16,10,73},{17,10,2},{17,10,66},{17,10,92},{17,10,103 +},{17,10,112},{17,10,120},{18,10,50},{18,10,54},{18,10,82},{18,10,86},{18,10,90} +,{18,10,111},{18,10,115},{18,10,156},{19,10,40},{19,10,79},{20,10,78},{149,10,22 +},{7,0,887},{5,10,161},{135,10,839},{142,11,98},{134,0,90},{138,11,356},{135,11, +441},{6,11,111},{7,11,4},{8,11,163},{8,11,776},{138,11,566},{134,0,908},{134,0, +1261},{7,0,813},{12,0,497},{141,0,56},{134,0,1235},{135,0,429},{135,11,1994},{ +138,0,904},{6,0,125},{7,0,1277},{137,0,772},{151,0,12},{4,0,841},{5,0,386},{133, +11,386},{5,11,297},{135,11,1038},{6,0,860},{6,0,1069},{135,11,309},{136,0,946},{ +135,10,1814},{141,11,418},{136,11,363},{10,0,768},{139,0,787},{22,11,30},{150,11 +,33},{6,0,160},{7,0,1106},{9,0,770},{11,0,112},{140,0,413},{11,11,216},{139,11, +340},{136,10,139},{135,11,1390},{135,11,808},{132,11,280},{12,0,271},{17,0,109}, +{7,10,643},{136,10,236},{140,11,54},{4,11,421},{133,11,548},{11,0,719},{12,0,36} +,{141,0,337},{7,0,581},{9,0,644},{137,0,699},{11,11,511},{13,11,394},{14,11,298} +,{14,11,318},{146,11,103},{7,0,304},{9,0,646},{9,0,862},{11,0,696},{12,0,208},{ +15,0,79},{147,0,108},{4,0,631},{7,0,1126},{135,0,1536},{135,11,1527},{8,0,880},{ +10,0,869},{138,0,913},{7,0,1513},{5,10,54},{6,11,254},{9,11,109},{138,11,103},{ +135,0,981},{133,11,729},{132,10,744},{132,0,434},{134,0,550},{7,0,930},{10,0,476 +},{13,0,452},{19,0,104},{6,11,1630},{10,10,402},{146,10,55},{5,0,553},{138,0,824 +},{136,0,452},{8,0,151},{137,10,624},{132,10,572},{132,0,772},{133,11,671},{133, +0,292},{138,0,135},{132,11,889},{140,11,207},{9,0,504},{6,10,43},{7,10,38},{8,10 +,248},{138,10,513},{6,0,1089},{135,11,1910},{4,11,627},{133,11,775},{135,0,783}, +{133,10,766},{133,10,363},{7,0,387},{135,11,387},{7,0,393},{10,0,603},{11,0,206} +,{7,11,202},{11,11,362},{11,11,948},{140,11,388},{6,11,507},{7,11,451},{8,11,389 +},{12,11,490},{13,11,16},{13,11,215},{13,11,351},{18,11,132},{147,11,125},{4,0, +912},{9,0,232},{135,11,841},{6,10,258},{140,10,409},{5,10,249},{148,10,82},{136, +11,566},{6,0,977},{135,11,1214},{7,0,1973},{136,0,716},{135,0,98},{133,0,733},{5 +,11,912},{134,11,1695},{5,10,393},{6,10,378},{7,10,1981},{9,10,32},{9,10,591},{ +10,10,685},{10,10,741},{142,10,382},{133,10,788},{10,0,19},{11,0,911},{7,10,1968 +},{141,10,509},{5,0,668},{5,11,236},{6,11,572},{8,11,492},{11,11,618},{144,11,56 +},{135,11,1789},{4,0,360},{5,0,635},{5,0,700},{5,10,58},{5,10,171},{5,10,683},{6 +,10,291},{6,10,566},{7,10,1650},{11,10,523},{12,10,273},{12,10,303},{15,10,39},{ +143,10,111},{133,0,901},{134,10,589},{5,11,190},{136,11,318},{140,0,656},{7,0, +726},{152,0,9},{4,10,917},{133,10,1005},{135,10,1598},{134,11,491},{4,10,919},{ +133,11,434},{137,0,72},{6,0,1269},{6,0,1566},{134,0,1621},{9,0,463},{10,0,595},{ +4,10,255},{5,10,302},{6,10,132},{7,10,128},{7,10,283},{7,10,1299},{10,10,52},{10 +,10,514},{11,10,925},{13,10,92},{142,10,309},{135,0,1454},{134,0,1287},{11,0,600 +},{13,0,245},{137,10,173},{136,0,989},{7,0,164},{7,0,1571},{9,0,107},{140,0,225} +,{6,0,1061},{141,10,442},{4,0,27},{5,0,484},{5,0,510},{6,0,434},{7,0,1000},{7,0, +1098},{136,0,2},{7,11,85},{7,11,247},{8,11,585},{10,11,163},{138,11,316},{11,11, +103},{142,11,0},{134,0,1127},{4,0,460},{134,0,852},{134,10,210},{4,0,932},{133,0 +,891},{6,0,588},{147,11,83},{8,0,625},{4,10,284},{134,10,223},{134,0,76},{8,0,92 +},{137,0,221},{4,11,124},{10,11,457},{11,11,121},{11,11,169},{11,11,422},{11,11, +870},{12,11,214},{13,11,389},{14,11,187},{143,11,77},{9,11,618},{138,11,482},{4, +10,218},{7,10,526},{143,10,137},{13,0,9},{14,0,104},{14,0,311},{4,10,270},{5,10, +192},{6,10,332},{135,10,1322},{140,10,661},{135,11,1193},{6,11,107},{7,11,638},{ +7,11,1632},{137,11,396},{132,0,763},{4,0,622},{5,11,370},{134,11,1756},{133,0, +253},{135,0,546},{9,0,73},{10,0,110},{14,0,185},{17,0,119},{133,11,204},{7,0,624 +},{7,0,916},{10,0,256},{139,0,87},{7,10,379},{8,10,481},{137,10,377},{5,0,212},{ +12,0,35},{13,0,382},{5,11,970},{134,11,1706},{9,0,746},{5,10,1003},{134,10,149}, +{10,0,150},{11,0,849},{13,0,330},{8,10,262},{9,10,627},{11,10,214},{11,10,404},{ +11,10,457},{11,10,780},{11,10,913},{13,10,401},{142,10,200},{134,0,1466},{135,11 +,3},{6,0,1299},{4,11,35},{5,11,121},{5,11,483},{5,11,685},{6,11,489},{7,11,1204} +,{136,11,394},{135,10,742},{4,10,142},{136,10,304},{4,11,921},{133,11,1007},{134 +,0,1518},{6,0,1229},{135,0,1175},{133,0,816},{12,0,159},{4,10,471},{4,11,712},{5 +,10,51},{6,10,602},{7,10,925},{8,10,484},{138,10,195},{134,11,1629},{5,0,869},{5 +,0,968},{6,0,1626},{8,0,734},{136,0,784},{4,0,542},{6,0,1716},{6,0,1727},{7,0, +1082},{7,0,1545},{8,0,56},{8,0,118},{8,0,412},{8,0,564},{9,0,888},{9,0,908},{10, +0,50},{10,0,423},{11,0,685},{11,0,697},{11,0,933},{12,0,299},{13,0,126},{13,0, +136},{13,0,170},{13,0,190},{136,10,688},{132,10,697},{4,0,232},{9,0,202},{10,0, +474},{140,0,433},{136,0,212},{6,0,108},{7,0,1003},{7,0,1181},{8,0,111},{136,0, +343},{5,10,221},{135,11,1255},{133,11,485},{134,0,1712},{142,0,216},{5,0,643},{6 +,0,516},{4,11,285},{5,11,317},{6,11,301},{7,11,7},{8,11,153},{10,11,766},{11,11, +468},{12,11,467},{141,11,143},{4,0,133},{7,0,711},{7,0,1298},{135,0,1585},{134,0 +,650},{135,11,512},{6,0,99},{7,0,1808},{145,0,57},{6,0,246},{6,0,574},{7,0,428}, +{9,0,793},{10,0,669},{11,0,485},{11,0,840},{12,0,300},{14,0,250},{145,0,55},{4, +10,132},{5,10,69},{135,10,1242},{136,0,1023},{7,0,302},{132,10,111},{135,0,1871} +,{132,0,728},{9,0,252},{132,10,767},{6,0,461},{7,0,1590},{7,10,1416},{7,10,2005} +,{8,10,131},{8,10,466},{9,10,672},{13,10,252},{148,10,103},{6,0,323},{135,0,1564 +},{7,0,461},{136,0,775},{6,10,44},{136,10,368},{139,0,172},{132,0,464},{4,10,570 +},{133,10,120},{137,11,269},{6,10,227},{135,10,1589},{6,11,1719},{6,11,1735},{7, +11,2016},{7,11,2020},{8,11,837},{137,11,852},{7,0,727},{146,0,73},{132,0,1023},{ +135,11,852},{135,10,1529},{136,0,577},{138,11,568},{134,0,1037},{8,11,67},{138, +11,419},{4,0,413},{5,0,677},{8,0,432},{140,0,280},{10,0,600},{6,10,1667},{7,11, +967},{7,10,2036},{141,11,11},{6,10,511},{140,10,132},{6,0,799},{5,10,568},{6,10, +138},{135,10,1293},{8,0,159},{4,10,565},{136,10,827},{7,0,646},{7,0,1730},{11,0, +446},{141,0,178},{4,10,922},{133,10,1023},{135,11,11},{132,0,395},{11,0,145},{ +135,10,1002},{9,0,174},{10,0,164},{11,0,440},{11,0,514},{11,0,841},{15,0,98},{ +149,0,20},{134,0,426},{10,0,608},{139,0,1002},{7,11,320},{8,11,51},{12,11,481},{ +12,11,570},{148,11,106},{9,0,977},{9,0,983},{132,11,445},{138,0,250},{139,0,100} +,{6,0,1982},{136,10,402},{133,11,239},{4,10,716},{141,10,31},{5,0,476},{7,11,83} +,{7,11,1990},{8,11,130},{139,11,720},{8,10,691},{136,10,731},{5,11,123},{6,11, +530},{7,11,348},{135,11,1419},{5,0,76},{6,0,458},{6,0,497},{7,0,868},{9,0,658},{ +10,0,594},{11,0,173},{11,0,566},{12,0,20},{12,0,338},{141,0,200},{9,11,139},{10, +11,399},{11,11,469},{12,11,634},{141,11,223},{9,10,840},{138,10,803},{133,10,847 +},{11,11,223},{140,11,168},{132,11,210},{8,0,447},{9,10,53},{9,10,268},{9,10,901 +},{10,10,518},{10,10,829},{11,10,188},{13,10,74},{14,10,46},{15,10,17},{15,10,33 +},{17,10,40},{18,10,36},{19,10,20},{22,10,1},{152,10,2},{4,0,526},{7,0,1029},{ +135,0,1054},{19,11,59},{150,11,2},{4,0,636},{6,0,1875},{6,0,1920},{9,0,999},{12, +0,807},{12,0,825},{15,0,179},{15,0,190},{18,0,182},{136,10,532},{6,0,1699},{7,0, +660},{7,0,1124},{17,0,31},{19,0,22},{151,0,14},{135,10,681},{132,11,430},{140,10 +,677},{4,10,684},{136,10,384},{132,11,756},{133,11,213},{7,0,188},{7,10,110},{8, +10,290},{8,10,591},{9,10,382},{9,10,649},{11,10,71},{11,10,155},{11,10,313},{12, +10,5},{13,10,325},{142,10,287},{7,10,360},{7,10,425},{9,10,66},{9,10,278},{138, +10,644},{142,11,164},{4,0,279},{7,0,301},{137,0,362},{134,11,586},{135,0,1743},{ +4,0,178},{133,0,399},{4,10,900},{133,10,861},{5,10,254},{7,10,985},{136,10,73},{ +133,11,108},{7,10,1959},{136,10,683},{133,11,219},{4,11,193},{5,11,916},{7,11, +364},{10,11,398},{10,11,726},{11,11,317},{11,11,626},{12,11,142},{12,11,288},{12 +,11,678},{13,11,313},{15,11,113},{18,11,114},{21,11,30},{150,11,53},{6,11,241},{ +7,11,907},{8,11,832},{9,11,342},{10,11,729},{11,11,284},{11,11,445},{11,11,651}, +{11,11,863},{13,11,398},{146,11,99},{132,0,872},{134,0,831},{134,0,1692},{6,0, +202},{6,0,1006},{9,0,832},{10,0,636},{11,0,208},{12,0,360},{17,0,118},{18,0,27}, +{20,0,67},{137,11,734},{132,10,725},{7,11,993},{138,11,666},{134,0,1954},{134,10 +,196},{7,0,872},{10,0,516},{139,0,167},{133,10,831},{4,11,562},{9,11,254},{139, +11,879},{137,0,313},{4,0,224},{132,11,786},{11,0,24},{12,0,170},{136,10,723},{5, +0,546},{7,0,35},{8,0,11},{8,0,12},{9,0,315},{9,0,533},{10,0,802},{11,0,166},{12, +0,525},{142,0,243},{7,0,1937},{13,10,80},{13,10,437},{145,10,74},{5,0,241},{8,0, +242},{9,0,451},{10,0,667},{11,0,598},{140,0,429},{150,0,46},{6,0,1273},{137,0, +830},{5,10,848},{6,10,66},{136,10,764},{6,0,825},{134,0,993},{4,0,1006},{10,0, +327},{13,0,271},{4,10,36},{7,10,1387},{139,10,755},{134,0,1023},{135,0,1580},{4, +0,366},{137,0,516},{132,10,887},{6,0,1736},{135,0,1891},{6,11,216},{7,11,901},{7 +,11,1343},{136,11,493},{6,10,165},{138,10,388},{7,11,341},{139,11,219},{4,10,719 +},{135,10,155},{134,0,1935},{132,0,826},{6,0,331},{6,0,1605},{8,0,623},{11,0,139 +},{139,0,171},{135,11,1734},{10,11,115},{11,11,420},{12,11,154},{13,11,404},{14, +11,346},{15,11,54},{143,11,112},{7,0,288},{4,10,353},{6,10,146},{6,10,1789},{7, +10,990},{7,10,1348},{9,10,665},{9,10,898},{11,10,893},{142,10,212},{6,0,916},{ +134,0,1592},{7,0,1888},{4,10,45},{135,10,1257},{5,11,1011},{136,11,701},{139,11, +596},{4,11,54},{5,11,666},{7,11,1039},{7,11,1130},{9,11,195},{138,11,302},{134,0 +,1471},{134,0,1570},{132,0,394},{140,10,65},{136,10,816},{135,0,1931},{7,0,574}, +{135,0,1719},{134,11,467},{132,0,658},{9,0,781},{10,0,144},{11,0,385},{13,0,161} +,{13,0,228},{13,0,268},{20,0,107},{134,11,1669},{136,0,374},{135,0,735},{4,0,344 +},{6,0,498},{139,0,323},{7,0,586},{7,0,1063},{6,10,559},{134,10,1691},{137,0,155 +},{133,0,906},{7,11,122},{9,11,259},{10,11,84},{11,11,470},{12,11,541},{141,11, +379},{134,0,1139},{10,0,108},{139,0,116},{134,10,456},{133,10,925},{5,11,82},{5, +11,131},{7,11,1755},{8,11,31},{9,11,168},{9,11,764},{139,11,869},{134,11,605},{5 +,11,278},{137,11,68},{4,11,163},{5,11,201},{5,11,307},{5,11,310},{6,11,335},{7, +11,284},{136,11,165},{135,11,1660},{6,11,33},{135,11,1244},{4,0,616},{136,11,483 +},{8,0,857},{8,0,902},{8,0,910},{10,0,879},{12,0,726},{4,11,199},{139,11,34},{ +136,0,692},{6,10,193},{7,10,240},{7,10,1682},{10,10,51},{10,10,640},{11,10,410}, +{13,10,82},{14,10,247},{14,10,331},{142,10,377},{6,0,823},{134,0,983},{139,10, +411},{132,0,305},{136,10,633},{138,11,203},{134,0,681},{6,11,326},{7,11,677},{ +137,11,425},{5,0,214},{7,0,603},{8,0,611},{9,0,686},{10,0,88},{11,0,459},{11,0, +496},{12,0,463},{12,0,590},{141,0,0},{136,0,1004},{142,0,23},{134,0,1703},{147, +11,8},{145,11,56},{135,0,1443},{4,10,237},{135,10,514},{6,0,714},{145,0,19},{5, +11,358},{7,11,473},{7,11,1184},{10,11,662},{13,11,212},{13,11,304},{13,11,333},{ +145,11,98},{4,0,737},{10,0,98},{11,0,294},{12,0,60},{12,0,437},{13,0,64},{13,0, +380},{142,0,430},{6,10,392},{7,10,65},{135,10,2019},{6,0,1758},{8,0,520},{9,0, +345},{9,0,403},{142,0,350},{5,0,47},{10,0,242},{138,0,579},{5,0,139},{7,0,1168}, +{138,0,539},{134,0,1459},{13,0,388},{141,11,388},{134,0,253},{7,10,1260},{135,10 +,1790},{10,0,252},{9,10,222},{139,10,900},{140,0,745},{133,11,946},{4,0,107},{7, +0,613},{8,0,439},{8,0,504},{9,0,501},{10,0,383},{139,0,477},{135,11,1485},{132,0 +,871},{7,11,411},{7,11,590},{8,11,631},{9,11,323},{10,11,355},{11,11,491},{12,11 +,143},{12,11,402},{13,11,73},{14,11,408},{15,11,107},{146,11,71},{132,0,229},{ +132,0,903},{140,0,71},{133,0,549},{4,0,47},{6,0,373},{7,0,452},{7,0,543},{7,0, +1828},{7,0,1856},{9,0,6},{11,0,257},{139,0,391},{7,11,1467},{8,11,328},{10,11, +544},{11,11,955},{13,11,320},{145,11,83},{5,0,980},{134,0,1754},{136,0,865},{5,0 +,705},{137,0,606},{7,0,161},{8,10,201},{136,10,605},{143,11,35},{5,11,835},{6,11 +,483},{140,10,224},{7,0,536},{7,0,1331},{136,0,143},{134,0,1388},{5,0,724},{10,0 +,305},{11,0,151},{12,0,33},{12,0,121},{12,0,381},{17,0,3},{17,0,27},{17,0,78},{ +18,0,18},{19,0,54},{149,0,5},{4,10,523},{133,10,638},{5,0,19},{134,0,533},{5,0, +395},{5,0,951},{134,0,1776},{135,0,1908},{132,0,846},{10,0,74},{11,0,663},{12,0, +210},{13,0,166},{13,0,310},{14,0,373},{18,0,95},{19,0,43},{6,10,242},{7,10,227}, +{7,10,1581},{8,10,104},{9,10,113},{9,10,220},{9,10,427},{10,10,239},{11,10,579}, +{11,10,1023},{13,10,4},{13,10,204},{13,10,316},{148,10,86},{9,11,716},{11,11,108 +},{13,11,123},{14,11,252},{19,11,38},{21,11,3},{151,11,11},{8,0,372},{9,0,122},{ +138,0,175},{132,11,677},{7,11,1374},{136,11,540},{135,10,861},{132,0,695},{7,0, +497},{9,0,387},{147,0,81},{136,0,937},{134,0,718},{7,0,1328},{136,10,494},{132, +11,331},{6,0,1581},{133,11,747},{5,0,284},{6,0,49},{6,0,350},{7,0,1},{7,0,377},{ +7,0,1693},{8,0,18},{8,0,678},{9,0,161},{9,0,585},{9,0,671},{9,0,839},{11,0,912}, +{141,0,427},{7,10,1306},{8,10,505},{9,10,482},{10,10,126},{11,10,225},{12,10,347 +},{12,10,449},{13,10,19},{14,10,218},{142,10,435},{10,10,764},{12,10,120},{13,10 +,39},{145,10,127},{4,0,597},{133,10,268},{134,0,1094},{4,0,1008},{134,0,1973},{ +132,0,811},{139,0,908},{135,0,1471},{133,11,326},{4,10,384},{135,10,1022},{7,0, +1935},{8,0,324},{12,0,42},{4,11,691},{7,11,1935},{8,11,324},{9,11,35},{10,11,680 +},{11,11,364},{12,11,42},{13,11,357},{146,11,16},{135,0,2014},{7,0,2007},{9,0, +101},{9,0,450},{10,0,66},{10,0,842},{11,0,536},{12,0,587},{6,11,32},{7,11,385},{ +7,11,757},{7,11,1916},{8,11,37},{8,11,94},{8,11,711},{9,11,541},{10,11,162},{10, +11,795},{11,11,989},{11,11,1010},{12,11,14},{142,11,308},{139,0,586},{135,10, +1703},{7,0,1077},{11,0,28},{9,10,159},{140,10,603},{6,0,1221},{136,10,583},{6,11 +,152},{6,11,349},{6,11,1682},{7,11,1252},{8,11,112},{9,11,435},{9,11,668},{10,11 +,290},{10,11,319},{10,11,815},{11,11,180},{11,11,837},{12,11,240},{13,11,152},{ +13,11,219},{142,11,158},{139,0,62},{132,10,515},{8,10,632},{8,10,697},{137,10, +854},{134,0,1766},{132,11,581},{6,11,126},{7,11,573},{8,11,397},{142,11,44},{150 +,0,28},{11,0,670},{22,0,25},{4,10,136},{133,10,551},{6,0,1665},{7,0,256},{7,0, +1388},{138,0,499},{4,0,22},{5,0,10},{7,0,1576},{136,0,97},{134,10,1782},{5,0,481 +},{7,10,1287},{9,10,44},{10,10,552},{10,10,642},{11,10,839},{12,10,274},{12,10, +275},{12,10,372},{13,10,91},{142,10,125},{133,11,926},{7,11,1232},{137,11,531},{ +6,0,134},{7,0,437},{7,0,1824},{9,0,37},{14,0,285},{142,0,371},{7,0,486},{8,0,155 +},{11,0,93},{140,0,164},{6,0,1391},{134,0,1442},{133,11,670},{133,0,591},{6,10, +147},{7,10,886},{7,11,1957},{9,10,753},{138,10,268},{5,0,380},{5,0,650},{7,0, +1173},{136,0,310},{4,0,364},{7,0,1156},{7,0,1187},{137,0,409},{135,11,1621},{134 +,0,482},{133,11,506},{4,0,781},{6,0,487},{7,0,926},{8,0,263},{139,0,500},{138,10 +,137},{135,11,242},{139,11,96},{133,10,414},{135,10,1762},{134,0,804},{5,11,834} +,{7,11,1202},{8,11,14},{9,11,481},{137,11,880},{134,10,599},{4,0,94},{135,0,1265 +},{4,0,415},{132,0,417},{5,0,348},{6,0,522},{6,10,1749},{7,11,1526},{138,11,465} +,{134,10,1627},{132,0,1012},{132,10,488},{4,11,357},{6,11,172},{7,11,143},{137, +11,413},{4,10,83},{4,11,590},{146,11,76},{140,10,676},{7,11,287},{8,11,355},{9, +11,293},{137,11,743},{134,10,278},{6,0,1803},{18,0,165},{24,0,21},{5,11,169},{7, +11,333},{136,11,45},{12,10,97},{140,11,97},{4,0,408},{4,0,741},{135,0,500},{132, +11,198},{7,10,388},{7,10,644},{139,10,781},{4,11,24},{5,11,140},{5,11,185},{7,11 +,1500},{11,11,565},{139,11,838},{6,0,1321},{9,0,257},{7,10,229},{8,10,59},{9,10, +190},{10,10,378},{140,10,191},{4,11,334},{133,11,593},{135,11,1885},{134,0,1138} +,{4,0,249},{6,0,73},{135,0,177},{133,0,576},{142,0,231},{137,0,288},{132,10,660} +,{7,10,1035},{138,10,737},{135,0,1487},{6,0,989},{9,0,433},{7,10,690},{9,10,587} +,{140,10,521},{7,0,1264},{7,0,1678},{11,0,945},{12,0,341},{12,0,471},{140,0,569} +,{132,11,709},{133,11,897},{5,11,224},{13,11,174},{146,11,52},{135,11,1840},{134 +,10,1744},{12,0,87},{16,0,74},{4,10,733},{9,10,194},{10,10,92},{11,10,198},{12, +10,84},{141,10,128},{140,0,779},{135,0,538},{4,11,608},{133,11,497},{133,0,413}, +{7,11,1375},{7,11,1466},{138,11,331},{136,0,495},{6,11,540},{136,11,136},{7,0,54 +},{8,0,312},{10,0,191},{10,0,614},{140,0,567},{6,0,468},{7,0,567},{7,0,1478},{8, +0,530},{14,0,290},{133,11,999},{4,11,299},{7,10,306},{135,11,1004},{142,11,296}, +{134,0,1484},{133,10,979},{6,0,609},{9,0,815},{12,11,137},{14,11,9},{14,11,24},{ +142,11,64},{133,11,456},{6,0,484},{135,0,822},{133,10,178},{136,11,180},{132,11, +755},{137,0,900},{135,0,1335},{6,0,1724},{135,0,2022},{135,11,1139},{5,0,640},{ +132,10,390},{6,0,1831},{138,11,633},{135,11,566},{4,11,890},{5,11,805},{5,11,819 +},{5,11,961},{6,11,396},{6,11,1631},{6,11,1678},{7,11,1967},{7,11,2041},{9,11, +630},{11,11,8},{11,11,1019},{12,11,176},{13,11,225},{14,11,292},{149,11,24},{132 +,0,474},{134,0,1103},{135,0,1504},{134,0,1576},{6,0,961},{6,0,1034},{140,0,655}, +{11,11,514},{149,11,20},{5,0,305},{135,11,1815},{7,11,1505},{10,11,190},{10,11, +634},{11,11,792},{12,11,358},{140,11,447},{5,11,0},{6,11,536},{7,11,604},{13,11, +445},{145,11,126},{7,0,1236},{133,10,105},{4,0,480},{6,0,217},{6,0,302},{6,0, +1642},{7,0,130},{7,0,837},{7,0,1321},{7,0,1547},{7,0,1657},{8,0,429},{9,0,228},{ +13,0,289},{13,0,343},{19,0,101},{6,11,232},{6,11,412},{7,11,1074},{8,11,9},{8,11 +,157},{8,11,786},{9,11,196},{9,11,352},{9,11,457},{10,11,337},{11,11,232},{11,11 +,877},{12,11,480},{140,11,546},{5,10,438},{7,11,958},{9,10,694},{12,10,627},{13, +11,38},{141,10,210},{4,11,382},{136,11,579},{7,0,278},{10,0,739},{11,0,708},{141 +,0,348},{4,11,212},{135,11,1206},{135,11,1898},{6,0,708},{6,0,1344},{152,10,11}, +{137,11,768},{134,0,1840},{140,0,233},{8,10,25},{138,10,826},{6,0,2017},{133,11, +655},{6,0,1488},{139,11,290},{132,10,308},{134,0,1590},{134,0,1800},{134,0,1259} +,{16,0,28},{6,11,231},{7,11,95},{136,11,423},{133,11,300},{135,10,150},{136,10, +649},{7,11,1874},{137,11,641},{6,11,237},{7,11,611},{8,11,100},{9,11,416},{11,11 +,335},{12,11,173},{146,11,101},{137,0,45},{134,10,521},{17,0,36},{14,11,26},{146 +,11,150},{7,0,1442},{14,0,22},{5,10,339},{15,10,41},{15,10,166},{147,10,66},{8,0 +,378},{6,11,581},{135,11,1119},{134,0,1507},{147,11,117},{139,0,39},{134,0,1054} +,{6,0,363},{7,0,1955},{136,0,725},{134,0,2036},{133,11,199},{6,0,1871},{9,0,935} +,{9,0,961},{9,0,1004},{9,0,1016},{12,0,805},{12,0,852},{12,0,853},{12,0,869},{12 +,0,882},{12,0,896},{12,0,906},{12,0,917},{12,0,940},{15,0,170},{15,0,176},{15,0, +188},{15,0,201},{15,0,205},{15,0,212},{15,0,234},{15,0,244},{18,0,181},{18,0,193 +},{18,0,196},{18,0,201},{18,0,202},{18,0,210},{18,0,217},{18,0,235},{18,0,236},{ +18,0,237},{21,0,54},{21,0,55},{21,0,58},{21,0,59},{152,0,22},{134,10,1628},{137, +0,805},{5,0,813},{135,0,2046},{142,11,42},{5,0,712},{6,0,1240},{11,0,17},{13,0, +321},{144,0,67},{132,0,617},{135,10,829},{6,0,320},{7,0,781},{7,0,1921},{9,0,55} +,{10,0,186},{10,0,273},{10,0,664},{10,0,801},{11,0,996},{11,0,997},{13,0,157},{ +142,0,170},{136,0,271},{5,10,486},{135,10,1349},{18,11,91},{147,11,70},{10,0,445 +},{7,10,1635},{8,10,17},{138,10,295},{136,11,404},{7,0,103},{7,0,863},{11,0,184} +,{145,0,62},{138,10,558},{137,0,659},{6,11,312},{6,11,1715},{10,11,584},{11,11, +546},{11,11,692},{12,11,259},{12,11,295},{13,11,46},{141,11,154},{134,0,676},{ +132,11,588},{4,11,231},{5,11,61},{6,11,104},{7,11,729},{7,11,964},{7,11,1658},{ +140,11,414},{6,11,263},{138,11,757},{11,0,337},{142,0,303},{135,11,1363},{132,11 +,320},{140,0,506},{134,10,447},{5,0,77},{7,0,1455},{10,0,843},{147,0,73},{7,10, +577},{7,10,1432},{9,10,475},{9,10,505},{9,10,526},{9,10,609},{9,10,689},{9,10, +726},{9,10,735},{9,10,738},{10,10,556},{10,10,674},{10,10,684},{11,10,89},{11,10 +,202},{11,10,272},{11,10,380},{11,10,415},{11,10,505},{11,10,537},{11,10,550},{ +11,10,562},{11,10,640},{11,10,667},{11,10,688},{11,10,847},{11,10,927},{11,10, +930},{11,10,940},{12,10,144},{12,10,325},{12,10,329},{12,10,389},{12,10,403},{12 +,10,451},{12,10,515},{12,10,604},{12,10,616},{12,10,626},{13,10,66},{13,10,131}, +{13,10,167},{13,10,236},{13,10,368},{13,10,411},{13,10,434},{13,10,453},{13,10, +461},{13,10,474},{14,10,59},{14,10,60},{14,10,139},{14,10,152},{14,10,276},{14, +10,353},{14,10,402},{15,10,28},{15,10,81},{15,10,123},{15,10,152},{18,10,136},{ +148,10,88},{132,0,458},{135,0,1420},{6,0,109},{10,0,382},{4,11,405},{4,10,609},{ +7,10,756},{7,11,817},{9,10,544},{11,10,413},{14,11,58},{14,10,307},{16,10,25},{ +17,11,37},{146,11,124},{6,0,330},{7,0,1084},{11,0,142},{133,11,974},{4,10,930},{ +133,10,947},{5,10,939},{142,11,394},{16,0,91},{145,0,87},{5,11,235},{5,10,962},{ +7,11,1239},{11,11,131},{140,11,370},{11,0,492},{5,10,651},{8,10,170},{9,10,61},{ +9,10,63},{10,10,23},{10,10,37},{10,10,834},{11,10,4},{11,10,281},{11,10,503},{11 +,10,677},{12,10,96},{12,10,130},{12,10,244},{14,10,5},{14,10,40},{14,10,162},{14 +,10,202},{146,10,133},{4,10,406},{5,10,579},{12,10,492},{150,10,15},{9,11,137},{ +138,11,221},{134,0,1239},{11,0,211},{140,0,145},{7,11,390},{138,11,140},{135,11, +1418},{135,11,1144},{134,0,1049},{7,0,321},{6,10,17},{7,10,1001},{7,10,1982},{9, +10,886},{10,10,489},{10,10,800},{11,10,782},{12,10,320},{13,10,467},{14,10,145}, +{14,10,387},{143,10,119},{145,10,17},{5,11,407},{11,11,489},{19,11,37},{20,11,73 +},{150,11,38},{133,10,458},{135,0,1985},{7,10,1983},{8,10,0},{8,10,171},{9,10, +120},{9,10,732},{10,10,473},{11,10,656},{11,10,998},{18,10,0},{18,10,2},{147,10, +21},{5,11,325},{7,11,1483},{8,11,5},{8,11,227},{9,11,105},{10,11,585},{140,11, +614},{136,0,122},{132,0,234},{135,11,1196},{6,0,976},{6,0,1098},{134,0,1441},{7, +0,253},{136,0,549},{6,11,621},{13,11,504},{144,11,19},{132,10,519},{5,0,430},{5, +0,932},{6,0,131},{7,0,417},{9,0,522},{11,0,314},{141,0,390},{14,0,149},{14,0,399 +},{143,0,57},{5,10,907},{6,10,31},{6,11,218},{7,10,491},{7,10,530},{8,10,592},{ +11,10,53},{11,10,779},{12,10,167},{12,10,411},{14,10,14},{14,10,136},{15,10,72}, +{16,10,17},{144,10,72},{140,11,330},{7,11,454},{7,11,782},{136,11,768},{132,0, +507},{10,11,676},{140,11,462},{6,0,630},{9,0,811},{4,10,208},{5,10,106},{6,10, +531},{8,10,408},{9,10,188},{138,10,572},{4,0,343},{5,0,511},{134,10,1693},{134, +11,164},{132,0,448},{7,0,455},{138,0,591},{135,0,1381},{12,10,441},{150,11,50},{ +9,10,449},{10,10,192},{138,10,740},{6,0,575},{132,10,241},{134,0,1175},{134,0, +653},{134,0,1761},{134,0,1198},{132,10,259},{6,11,343},{7,11,195},{9,11,226},{10 +,11,197},{10,11,575},{11,11,502},{139,11,899},{7,0,1127},{7,0,1572},{10,0,297},{ +10,0,422},{11,0,764},{11,0,810},{12,0,264},{13,0,102},{13,0,300},{13,0,484},{14, +0,147},{14,0,229},{17,0,71},{18,0,118},{147,0,120},{135,11,666},{132,0,678},{4, +10,173},{5,10,312},{5,10,512},{135,10,1285},{7,10,1603},{7,10,1691},{9,10,464},{ +11,10,195},{12,10,279},{12,10,448},{14,10,11},{147,10,102},{16,0,99},{146,0,164} +,{7,11,1125},{9,11,143},{11,11,61},{14,11,405},{150,11,21},{137,11,260},{4,10, +452},{5,10,583},{5,10,817},{6,10,433},{7,10,593},{7,10,720},{7,10,1378},{8,10, +161},{9,10,284},{10,10,313},{139,10,886},{132,10,547},{136,10,722},{14,0,35},{ +142,0,191},{141,0,45},{138,0,121},{132,0,125},{134,0,1622},{133,11,959},{8,10, +420},{139,10,193},{132,0,721},{135,10,409},{136,0,145},{7,0,792},{8,0,147},{10,0 +,821},{11,0,970},{11,0,1021},{136,11,173},{134,11,266},{132,0,715},{7,0,1999},{ +138,10,308},{133,0,531},{5,0,168},{5,0,930},{8,0,74},{9,0,623},{12,0,500},{140,0 +,579},{144,0,65},{138,11,246},{6,0,220},{7,0,1101},{13,0,105},{142,11,314},{5,10 +,1002},{136,10,745},{134,0,960},{20,0,0},{148,11,0},{4,0,1005},{4,10,239},{6,10, +477},{7,10,1607},{11,10,68},{139,10,617},{6,0,19},{7,0,1413},{139,0,428},{149,10 +,13},{7,0,96},{8,0,401},{8,0,703},{9,0,896},{136,11,300},{134,0,1595},{145,0,116 +},{136,0,1021},{7,0,1961},{7,0,1965},{7,0,2030},{8,0,150},{8,0,702},{8,0,737},{8 +,0,750},{140,0,366},{11,11,75},{142,11,267},{132,10,367},{8,0,800},{9,0,148},{9, +0,872},{9,0,890},{11,0,309},{11,0,1001},{13,0,267},{13,0,323},{5,11,427},{5,11, +734},{7,11,478},{136,11,52},{7,11,239},{11,11,217},{142,11,165},{132,11,323},{ +140,11,419},{13,0,299},{142,0,75},{6,11,87},{6,11,1734},{7,11,20},{7,11,1056},{8 +,11,732},{9,11,406},{9,11,911},{138,11,694},{134,0,1383},{132,10,694},{133,11, +613},{137,0,779},{4,0,598},{140,10,687},{6,0,970},{135,0,424},{133,0,547},{7,11, +32},{7,11,984},{8,11,85},{8,11,709},{9,11,579},{9,11,847},{9,11,856},{10,11,799} +,{11,11,258},{11,11,1007},{12,11,331},{12,11,615},{13,11,188},{13,11,435},{14,11 +,8},{15,11,165},{16,11,27},{148,11,40},{6,0,1222},{134,0,1385},{132,0,876},{138, +11,151},{135,10,213},{4,11,167},{135,11,82},{133,0,133},{6,11,24},{7,11,74},{7, +11,678},{137,11,258},{5,11,62},{6,11,534},{7,11,684},{7,11,1043},{7,11,1072},{8, +11,280},{8,11,541},{8,11,686},{10,11,519},{11,11,252},{140,11,282},{136,0,187},{ +8,0,8},{10,0,0},{10,0,818},{139,0,988},{132,11,359},{11,0,429},{15,0,51},{135,10 +,1672},{136,0,685},{5,11,211},{7,11,88},{136,11,627},{134,0,472},{136,0,132},{6, +11,145},{141,11,336},{4,10,751},{11,10,390},{140,10,32},{6,0,938},{6,0,1060},{4, +11,263},{4,10,409},{133,10,78},{137,0,874},{8,0,774},{10,0,670},{12,0,51},{4,11, +916},{6,10,473},{7,10,1602},{10,10,698},{12,10,212},{13,10,307},{145,10,105},{ +146,0,92},{143,10,156},{132,0,830},{137,0,701},{4,11,599},{6,11,1634},{7,11,5},{ +7,11,55},{7,11,67},{7,11,97},{7,11,691},{7,11,979},{7,11,1697},{8,11,207},{8,11, +214},{8,11,231},{8,11,294},{8,11,336},{8,11,428},{8,11,451},{8,11,460},{8,11,471 +},{8,11,622},{8,11,626},{8,11,679},{8,11,759},{8,11,829},{9,11,11},{9,11,246},{9 +,11,484},{9,11,573},{9,11,706},{9,11,762},{9,11,798},{9,11,855},{9,11,870},{9,11 +,912},{10,11,303},{10,11,335},{10,11,424},{10,11,461},{10,11,543},{10,11,759},{ +10,11,814},{11,11,59},{11,11,199},{11,11,235},{11,11,475},{11,11,590},{11,11,929 +},{11,11,963},{12,11,114},{12,11,182},{12,11,226},{12,11,332},{12,11,439},{12,11 +,575},{12,11,598},{13,11,8},{13,11,125},{13,11,194},{13,11,287},{14,11,197},{14, +11,383},{15,11,53},{17,11,63},{19,11,46},{19,11,98},{19,11,106},{148,11,85},{4,0 +,127},{5,0,350},{6,0,356},{8,0,426},{9,0,572},{10,0,247},{139,0,312},{134,0,1215 +},{6,0,59},{9,0,603},{13,0,397},{7,11,1853},{138,11,437},{134,0,1762},{147,11, +126},{135,10,883},{13,0,293},{142,0,56},{133,10,617},{139,10,50},{5,11,187},{7, +10,1518},{139,10,694},{135,0,441},{6,0,111},{7,0,4},{8,0,163},{8,0,776},{138,0, +566},{132,0,806},{4,11,215},{9,11,38},{10,11,3},{11,11,23},{11,11,127},{139,11, +796},{14,0,233},{4,10,546},{135,10,2042},{135,0,1994},{134,0,1739},{135,11,1530} +,{136,0,393},{5,0,297},{7,0,1038},{14,0,359},{19,0,52},{148,0,47},{135,0,309},{4 +,10,313},{133,10,577},{8,10,184},{141,10,433},{135,10,935},{12,10,186},{12,10, +292},{14,10,100},{146,10,70},{136,0,363},{14,0,175},{11,10,402},{12,10,109},{12, +10,431},{13,10,179},{13,10,206},{14,10,217},{16,10,3},{148,10,53},{5,10,886},{6, +10,46},{6,10,1790},{7,10,14},{7,10,732},{7,10,1654},{8,10,95},{8,10,327},{8,10, +616},{9,10,892},{10,10,598},{10,10,769},{11,10,134},{11,10,747},{12,10,378},{142 +,10,97},{136,0,666},{135,0,1675},{6,0,655},{134,0,1600},{135,0,808},{133,10,1021 +},{4,11,28},{5,11,440},{7,11,248},{11,11,833},{140,11,344},{134,11,1654},{132,0, +280},{140,0,54},{4,0,421},{133,0,548},{132,10,153},{6,11,339},{135,11,923},{133, +11,853},{133,10,798},{132,10,587},{6,11,249},{7,11,1234},{139,11,573},{6,10,598} +,{7,10,42},{8,10,695},{10,10,212},{11,10,158},{14,10,196},{145,10,85},{7,0,249}, +{5,10,957},{133,10,1008},{4,10,129},{135,10,465},{6,0,254},{7,0,842},{7,0,1659}, +{9,0,109},{10,0,103},{7,10,908},{7,10,1201},{9,10,755},{11,10,906},{12,10,527},{ +146,10,7},{5,0,262},{136,10,450},{144,0,1},{10,11,201},{142,11,319},{7,11,49},{7 +,11,392},{8,11,20},{8,11,172},{8,11,690},{9,11,383},{9,11,845},{10,11,48},{11,11 +,293},{11,11,832},{11,11,920},{141,11,221},{5,11,858},{133,11,992},{134,0,805},{ +139,10,1003},{6,0,1630},{134,11,307},{7,11,1512},{135,11,1794},{6,11,268},{137, +11,62},{135,10,1868},{133,0,671},{4,0,989},{8,0,972},{136,0,998},{132,11,423},{ +132,0,889},{135,0,1382},{135,0,1910},{7,10,965},{7,10,1460},{135,10,1604},{4,0, +627},{5,0,775},{138,11,106},{134,11,348},{7,0,202},{11,0,362},{11,0,948},{140,0, +388},{138,11,771},{6,11,613},{136,11,223},{6,0,560},{7,0,451},{8,0,389},{12,0, +490},{13,0,16},{13,0,215},{13,0,351},{18,0,132},{147,0,125},{135,0,841},{136,0, +566},{136,0,938},{132,11,670},{5,0,912},{6,0,1695},{140,11,55},{9,11,40},{139,11 +,136},{7,0,1361},{7,10,982},{10,10,32},{143,10,56},{11,11,259},{140,11,270},{5,0 +,236},{6,0,572},{8,0,492},{11,0,618},{144,0,56},{8,11,572},{9,11,310},{9,11,682} +,{137,11,698},{134,0,1854},{5,0,190},{136,0,318},{133,10,435},{135,0,1376},{4,11 +,296},{6,11,352},{7,11,401},{7,11,1410},{7,11,1594},{7,11,1674},{8,11,63},{8,11, +660},{137,11,74},{7,0,349},{5,10,85},{6,10,419},{7,10,305},{7,10,361},{7,10,1337 +},{8,10,71},{140,10,519},{4,11,139},{4,11,388},{140,11,188},{6,0,1972},{6,0,2013 +},{8,0,951},{10,0,947},{10,0,974},{10,0,1018},{142,0,476},{140,10,688},{135,10, +740},{5,10,691},{7,10,345},{9,10,94},{140,10,169},{9,0,344},{5,10,183},{6,10,582 +},{10,10,679},{140,10,435},{135,10,511},{132,0,850},{8,11,441},{10,11,314},{143, +11,3},{7,10,1993},{136,10,684},{4,11,747},{6,11,290},{6,10,583},{7,11,649},{7,11 +,1479},{135,11,1583},{133,11,232},{133,10,704},{134,0,910},{4,10,179},{5,10,198} +,{133,10,697},{7,10,347},{7,10,971},{8,10,181},{138,10,711},{136,11,525},{14,0, +19},{14,0,28},{144,0,29},{7,0,85},{7,0,247},{8,0,585},{138,0,163},{4,0,487},{7, +11,472},{7,11,1801},{10,11,748},{141,11,458},{4,10,243},{5,10,203},{7,10,19},{7, +10,71},{7,10,113},{10,10,405},{11,10,357},{142,10,240},{7,10,1450},{139,10,99},{ +132,11,425},{138,0,145},{147,0,83},{6,10,492},{137,11,247},{4,0,1013},{134,0, +2033},{5,10,134},{6,10,408},{6,10,495},{135,10,1593},{135,0,1922},{134,11,1768}, +{4,0,124},{10,0,457},{11,0,121},{11,0,169},{11,0,870},{11,0,874},{12,0,214},{14, +0,187},{143,0,77},{5,0,557},{135,0,1457},{139,0,66},{5,11,943},{6,11,1779},{142, +10,4},{4,10,248},{4,10,665},{7,10,137},{137,10,349},{7,0,1193},{5,11,245},{6,11, +576},{7,11,582},{136,11,225},{144,0,82},{7,10,1270},{139,10,612},{5,0,454},{10,0 +,352},{138,11,352},{18,0,57},{5,10,371},{135,10,563},{135,0,1333},{6,0,107},{7,0 +,638},{7,0,1632},{9,0,396},{134,11,610},{5,0,370},{134,0,1756},{4,10,374},{7,10, +547},{7,10,1700},{7,10,1833},{139,10,858},{133,0,204},{6,0,1305},{9,10,311},{141 +,10,42},{5,0,970},{134,0,1706},{6,10,1647},{7,10,1552},{7,10,2010},{9,10,494},{ +137,10,509},{13,11,455},{15,11,99},{15,11,129},{144,11,68},{135,0,3},{4,0,35},{5 +,0,121},{5,0,483},{5,0,685},{6,0,489},{6,0,782},{6,0,1032},{7,0,1204},{136,0,394 +},{4,0,921},{133,0,1007},{8,11,360},{138,11,63},{135,0,1696},{134,0,1519},{132, +11,443},{135,11,944},{6,10,123},{7,10,214},{9,10,728},{10,10,157},{11,10,346},{ +11,10,662},{143,10,106},{137,0,981},{135,10,1435},{134,0,1072},{132,0,712},{134, +0,1629},{134,0,728},{4,11,298},{137,11,483},{6,0,1177},{6,0,1271},{5,11,164},{7, +11,121},{142,11,189},{7,0,1608},{4,10,707},{5,10,588},{6,10,393},{13,10,106},{18 +,10,49},{147,10,41},{23,0,16},{151,11,16},{6,10,211},{7,10,1690},{11,10,486},{ +140,10,369},{133,0,485},{19,11,15},{149,11,27},{4,11,172},{9,11,611},{10,11,436} +,{12,11,673},{141,11,255},{5,11,844},{10,11,484},{11,11,754},{12,11,457},{14,11, +171},{14,11,389},{146,11,153},{4,0,285},{5,0,27},{5,0,317},{6,0,301},{7,0,7},{8, +0,153},{10,0,766},{11,0,468},{12,0,467},{141,0,143},{134,0,1462},{9,11,263},{10, +11,147},{138,11,492},{133,11,537},{6,0,1945},{6,0,1986},{6,0,1991},{134,0,2038}, +{134,10,219},{137,11,842},{14,0,52},{17,0,50},{5,10,582},{6,10,1646},{7,10,99},{ +7,10,1962},{7,10,1986},{8,10,515},{8,10,773},{9,10,23},{9,10,491},{12,10,620},{ +142,10,93},{138,11,97},{20,0,21},{20,0,44},{133,10,851},{136,0,819},{139,0,917}, +{5,11,230},{5,11,392},{6,11,420},{8,10,762},{8,10,812},{9,11,568},{9,10,910},{ +140,11,612},{135,0,784},{15,0,135},{143,11,135},{10,0,454},{140,0,324},{4,11,0}, +{5,11,41},{7,11,1459},{7,11,1469},{7,11,1618},{7,11,1859},{9,11,549},{139,11,905 +},{4,10,98},{7,10,1365},{9,10,422},{9,10,670},{10,10,775},{11,10,210},{13,10,26} +,{13,10,457},{141,10,476},{6,0,1719},{6,0,1735},{7,0,2016},{7,0,2020},{8,0,837}, +{137,0,852},{133,11,696},{135,0,852},{132,0,952},{134,10,1730},{132,11,771},{138 +,0,568},{137,0,448},{139,0,146},{8,0,67},{138,0,419},{133,11,921},{137,10,147},{ +134,0,1826},{10,0,657},{14,0,297},{142,0,361},{6,0,666},{6,0,767},{134,0,1542},{ +139,0,729},{6,11,180},{7,11,1137},{8,11,751},{139,11,805},{4,11,183},{7,11,271}, +{11,11,824},{11,11,952},{13,11,278},{13,11,339},{13,11,482},{14,11,424},{148,11, +99},{4,0,669},{5,11,477},{5,11,596},{6,11,505},{7,11,1221},{11,11,907},{12,11, +209},{141,11,214},{135,11,1215},{5,0,402},{6,10,30},{11,10,56},{139,10,305},{7, +11,564},{142,11,168},{139,0,152},{7,0,912},{135,10,1614},{4,10,150},{5,10,303},{ +134,10,327},{7,0,320},{8,0,51},{9,0,868},{10,0,833},{12,0,481},{12,0,570},{148,0 +,106},{132,0,445},{7,11,274},{11,11,263},{11,11,479},{11,11,507},{140,11,277},{ +10,0,555},{11,0,308},{19,0,95},{6,11,1645},{8,10,192},{10,10,78},{141,10,359},{ +135,10,786},{6,11,92},{6,11,188},{7,11,1269},{7,11,1524},{7,11,1876},{10,11,228} +,{139,11,1020},{4,11,459},{133,11,966},{11,0,386},{6,10,1638},{7,10,79},{7,10, +496},{9,10,138},{10,10,336},{12,10,412},{12,10,440},{142,10,305},{133,0,239},{7, +0,83},{7,0,1990},{8,0,130},{139,0,720},{138,11,709},{4,0,143},{5,0,550},{133,0, +752},{5,0,123},{6,0,530},{7,0,348},{135,0,1419},{135,0,2024},{6,11,18},{7,11,179 +},{7,11,721},{7,11,932},{8,11,548},{8,11,757},{9,11,54},{9,11,65},{9,11,532},{9, +11,844},{10,11,113},{10,11,117},{10,11,236},{10,11,315},{10,11,430},{10,11,798}, +{11,11,153},{11,11,351},{11,11,375},{12,11,78},{12,11,151},{12,11,392},{14,11, +248},{143,11,23},{7,10,204},{7,10,415},{8,10,42},{10,10,85},{139,10,564},{134,0, +958},{133,11,965},{132,0,210},{135,11,1429},{138,11,480},{134,11,182},{139,11, +345},{10,11,65},{10,11,488},{138,11,497},{4,10,3},{5,10,247},{5,10,644},{7,10, +744},{7,10,1207},{7,10,1225},{7,10,1909},{146,10,147},{132,0,430},{5,10,285},{9, +10,67},{13,10,473},{143,10,82},{144,11,16},{7,11,1162},{9,11,588},{10,11,260},{ +151,10,8},{133,0,213},{138,0,7},{135,0,801},{134,11,1786},{135,11,308},{6,0,936} +,{134,0,1289},{133,0,108},{132,0,885},{133,0,219},{139,0,587},{4,0,193},{5,0,916 +},{6,0,1041},{7,0,364},{10,0,398},{10,0,726},{11,0,317},{11,0,626},{12,0,142},{ +12,0,288},{12,0,678},{13,0,313},{15,0,113},{146,0,114},{135,0,1165},{6,0,241},{9 +,0,342},{10,0,729},{11,0,284},{11,0,445},{11,0,651},{11,0,863},{13,0,398},{146,0 +,99},{7,0,907},{136,0,832},{9,0,303},{4,10,29},{6,10,532},{7,10,1628},{7,10,1648 +},{9,10,350},{10,10,433},{11,10,97},{11,10,557},{11,10,745},{12,10,289},{12,10, +335},{12,10,348},{12,10,606},{13,10,116},{13,10,233},{13,10,466},{14,10,181},{14 +,10,209},{14,10,232},{14,10,236},{14,10,300},{16,10,41},{148,10,97},{7,11,423},{ +7,10,1692},{136,11,588},{6,0,931},{134,0,1454},{5,10,501},{7,10,1704},{9,10,553} +,{11,10,520},{12,10,557},{141,10,249},{136,11,287},{4,0,562},{9,0,254},{139,0, +879},{132,0,786},{14,11,32},{18,11,85},{20,11,2},{152,11,16},{135,0,1294},{7,11, +723},{135,11,1135},{6,0,216},{7,0,901},{7,0,1343},{8,0,493},{134,11,403},{7,11, +719},{8,11,809},{136,11,834},{5,11,210},{6,11,213},{7,11,60},{10,11,364},{139,11 +,135},{7,0,341},{11,0,219},{5,11,607},{8,11,326},{136,11,490},{4,11,701},{5,11, +472},{5,11,639},{7,11,1249},{9,11,758},{139,11,896},{135,11,380},{135,11,1947},{ +139,0,130},{135,0,1734},{10,0,115},{11,0,420},{12,0,154},{13,0,404},{14,0,346},{ +143,0,54},{134,10,129},{4,11,386},{7,11,41},{8,11,405},{9,11,497},{11,11,110},{ +11,11,360},{15,11,37},{144,11,84},{141,11,282},{5,11,46},{7,11,1452},{7,11,1480} +,{8,11,634},{140,11,472},{4,11,524},{136,11,810},{10,11,238},{141,11,33},{133,0, +604},{5,0,1011},{136,0,701},{8,0,856},{8,0,858},{8,0,879},{12,0,702},{142,0,447} +,{4,0,54},{5,0,666},{7,0,1039},{7,0,1130},{9,0,195},{138,0,302},{4,10,25},{5,10, +60},{6,10,504},{7,10,614},{7,10,1155},{140,10,0},{7,10,1248},{11,10,621},{139,10 +,702},{133,11,997},{137,10,321},{134,0,1669},{134,0,1791},{4,10,379},{135,10, +1397},{138,11,372},{5,11,782},{5,11,829},{134,11,1738},{135,0,1228},{4,10,118},{ +6,10,274},{6,10,361},{7,10,75},{141,10,441},{132,0,623},{9,11,279},{10,11,407},{ +14,11,84},{150,11,18},{137,10,841},{135,0,798},{140,10,693},{5,10,314},{6,10,221 +},{7,10,419},{10,10,650},{11,10,396},{12,10,156},{13,10,369},{14,10,333},{145,10 +,47},{135,11,1372},{7,0,122},{9,0,259},{10,0,84},{11,0,470},{12,0,541},{141,0, +379},{134,0,837},{8,0,1013},{4,11,78},{5,11,96},{5,11,182},{7,11,1724},{7,11, +1825},{10,11,394},{10,11,471},{11,11,532},{14,11,340},{145,11,88},{134,0,577},{ +135,11,1964},{132,10,913},{134,0,460},{8,0,891},{10,0,901},{10,0,919},{10,0,932} +,{12,0,715},{12,0,728},{12,0,777},{14,0,457},{144,0,103},{5,0,82},{5,0,131},{7,0 +,1755},{8,0,31},{9,0,168},{9,0,764},{139,0,869},{136,10,475},{6,0,605},{5,10, +1016},{9,11,601},{9,11,619},{10,11,505},{10,11,732},{11,11,355},{140,11,139},{7, +10,602},{8,10,179},{10,10,781},{140,10,126},{134,0,1246},{6,10,329},{138,10,111} +,{6,11,215},{7,11,1028},{7,11,1473},{7,11,1721},{9,11,424},{138,11,779},{5,0,278 +},{137,0,68},{6,0,932},{6,0,1084},{144,0,86},{4,0,163},{5,0,201},{5,0,307},{5,0, +310},{6,0,335},{7,0,284},{7,0,1660},{136,0,165},{136,0,781},{134,0,707},{6,0,33} +,{135,0,1244},{5,10,821},{6,11,67},{6,10,1687},{7,11,258},{7,11,1630},{9,11,354} +,{9,11,675},{10,11,830},{14,11,80},{145,11,80},{6,11,141},{7,11,225},{9,11,59},{ +9,11,607},{10,11,312},{11,11,687},{12,11,555},{13,11,373},{13,11,494},{148,11,58 +},{134,0,1113},{9,0,388},{5,10,71},{7,10,1407},{9,10,704},{10,10,261},{10,10,619 +},{11,10,547},{11,10,619},{143,10,157},{7,0,1953},{136,0,720},{138,0,203},{7,10, +2008},{9,10,337},{138,10,517},{6,0,326},{7,0,677},{137,0,425},{139,11,81},{7,0, +1316},{7,0,1412},{7,0,1839},{9,0,589},{11,0,241},{11,0,676},{11,0,811},{11,0,891 +},{12,0,140},{12,0,346},{12,0,479},{13,0,140},{13,0,381},{14,0,188},{18,0,30},{ +148,0,108},{5,0,416},{6,10,86},{6,10,603},{7,10,292},{7,10,561},{8,10,257},{8,10 +,382},{9,10,721},{9,10,778},{11,10,581},{140,10,466},{4,10,486},{133,10,491},{ +134,0,1300},{132,10,72},{7,0,847},{6,10,265},{7,11,430},{139,11,46},{5,11,602},{ +6,11,106},{7,11,1786},{7,11,1821},{7,11,2018},{9,11,418},{137,11,763},{5,0,358}, +{7,0,535},{7,0,1184},{10,0,662},{13,0,212},{13,0,304},{13,0,333},{145,0,98},{5, +11,65},{6,11,416},{7,11,1720},{7,11,1924},{8,11,677},{10,11,109},{11,11,14},{11, +11,70},{11,11,569},{11,11,735},{15,11,153},{148,11,80},{6,0,1823},{8,0,839},{8,0 +,852},{8,0,903},{10,0,940},{12,0,707},{140,0,775},{135,11,1229},{6,0,1522},{140, +0,654},{136,11,595},{139,0,163},{141,0,314},{132,0,978},{4,0,601},{6,0,2035},{ +137,10,234},{5,10,815},{6,10,1688},{134,10,1755},{133,0,946},{136,0,434},{6,10, +197},{136,10,205},{7,0,411},{7,0,590},{8,0,631},{9,0,323},{10,0,355},{11,0,491}, +{12,0,143},{12,0,402},{13,0,73},{14,0,408},{15,0,107},{146,0,71},{7,0,1467},{8,0 +,328},{10,0,544},{11,0,955},{12,0,13},{13,0,320},{145,0,83},{142,0,410},{11,0, +511},{13,0,394},{14,0,298},{14,0,318},{146,0,103},{6,10,452},{7,10,312},{138,10, +219},{138,10,589},{4,10,333},{9,10,176},{12,10,353},{141,10,187},{135,11,329},{ +132,11,469},{5,0,835},{134,0,483},{134,11,1743},{5,11,929},{6,11,340},{8,11,376} +,{136,11,807},{134,10,1685},{132,0,677},{5,11,218},{7,11,1610},{138,11,83},{5,11 +,571},{135,11,1842},{132,11,455},{137,0,70},{135,0,1405},{7,10,135},{8,10,7},{8, +10,62},{9,10,243},{10,10,658},{10,10,697},{11,10,456},{139,10,756},{9,10,395},{ +138,10,79},{137,0,108},{6,11,161},{7,11,372},{137,11,597},{132,11,349},{132,0, +777},{132,0,331},{135,10,631},{133,0,747},{6,11,432},{6,11,608},{139,11,322},{ +138,10,835},{5,11,468},{7,11,1809},{10,11,325},{11,11,856},{12,11,345},{143,11, +104},{133,11,223},{7,10,406},{7,10,459},{8,10,606},{139,10,726},{132,11,566},{ +142,0,68},{4,11,59},{135,11,1394},{6,11,436},{139,11,481},{4,11,48},{5,11,271},{ +135,11,953},{139,11,170},{5,11,610},{136,11,457},{133,11,755},{135,11,1217},{133 +,10,612},{132,11,197},{132,0,505},{4,10,372},{7,10,482},{8,10,158},{9,10,602},{9 +,10,615},{10,10,245},{10,10,678},{10,10,744},{11,10,248},{139,10,806},{133,0,326 +},{5,10,854},{135,10,1991},{4,0,691},{146,0,16},{6,0,628},{9,0,35},{10,0,680},{ +10,0,793},{11,0,364},{13,0,357},{143,0,164},{138,0,654},{6,0,32},{7,0,385},{7,0, +757},{7,0,1916},{8,0,37},{8,0,94},{8,0,711},{9,0,541},{10,0,162},{10,0,795},{11, +0,989},{11,0,1010},{12,0,14},{142,0,308},{133,11,217},{6,0,152},{6,0,349},{6,0, +1682},{7,0,1252},{8,0,112},{9,0,435},{9,0,668},{10,0,290},{10,0,319},{10,0,815}, +{11,0,180},{11,0,837},{12,0,240},{13,0,152},{13,0,219},{142,0,158},{4,0,581},{ +134,0,726},{5,10,195},{135,10,1685},{6,0,126},{7,0,573},{8,0,397},{142,0,44},{ +138,0,89},{7,10,1997},{8,10,730},{139,10,1006},{134,0,1531},{134,0,1167},{5,0, +926},{12,0,203},{133,10,751},{4,11,165},{7,11,1398},{135,11,1829},{7,0,1232},{ +137,0,531},{135,10,821},{134,0,943},{133,0,670},{4,0,880},{139,0,231},{134,0, +1617},{135,0,1957},{5,11,9},{7,11,297},{7,11,966},{140,11,306},{6,0,975},{134,0, +985},{5,10,950},{5,10,994},{134,10,351},{12,11,21},{151,11,7},{5,11,146},{6,11, +411},{138,11,721},{7,0,242},{135,0,1942},{6,11,177},{135,11,467},{5,0,421},{7,10 +,47},{137,10,684},{5,0,834},{7,0,1202},{8,0,14},{9,0,481},{137,0,880},{138,0,465 +},{6,0,688},{9,0,834},{132,10,350},{132,0,855},{4,0,357},{6,0,172},{7,0,143},{ +137,0,413},{133,11,200},{132,0,590},{7,10,1812},{13,10,259},{13,10,356},{14,10, +242},{147,10,114},{133,10,967},{11,0,114},{4,10,473},{7,10,623},{8,10,808},{9,10 +,871},{9,10,893},{11,10,431},{12,10,112},{12,10,217},{12,10,243},{12,10,562},{12 +,10,663},{12,10,683},{13,10,141},{13,10,197},{13,10,227},{13,10,406},{13,10,487} +,{14,10,156},{14,10,203},{14,10,224},{14,10,256},{18,10,58},{150,10,0},{138,10, +286},{4,10,222},{7,10,286},{136,10,629},{5,0,169},{7,0,333},{136,0,45},{134,11, +481},{132,0,198},{4,0,24},{5,0,140},{5,0,185},{7,0,1500},{11,0,565},{11,0,838},{ +4,11,84},{7,11,1482},{10,11,76},{138,11,142},{133,0,585},{141,10,306},{133,11, +1015},{4,11,315},{5,11,507},{135,11,1370},{136,10,146},{6,0,691},{134,0,1503},{4 +,0,334},{133,0,593},{4,10,465},{135,10,1663},{142,11,173},{135,0,913},{12,0,116} +,{134,11,1722},{134,0,1360},{132,0,802},{8,11,222},{8,11,476},{9,11,238},{11,11, +516},{11,11,575},{15,11,109},{146,11,100},{6,0,308},{9,0,673},{7,10,138},{7,10, +517},{139,10,238},{132,0,709},{6,0,1876},{6,0,1895},{9,0,994},{9,0,1006},{12,0, +829},{12,0,888},{12,0,891},{146,0,185},{148,10,94},{4,0,228},{133,0,897},{7,0, +1840},{5,10,495},{7,10,834},{9,10,733},{139,10,378},{133,10,559},{6,10,21},{6,10 +,1737},{7,10,1444},{136,10,224},{4,0,608},{133,0,497},{6,11,40},{135,11,1781},{ +134,0,1573},{135,0,2039},{6,0,540},{136,0,136},{4,0,897},{5,0,786},{133,10,519}, +{6,0,1878},{6,0,1884},{9,0,938},{9,0,948},{9,0,955},{9,0,973},{9,0,1012},{12,0, +895},{12,0,927},{143,0,254},{134,0,1469},{133,0,999},{4,0,299},{135,0,1004},{4,0 +,745},{133,0,578},{136,11,574},{133,0,456},{134,0,1457},{7,0,1679},{132,10,402}, +{7,0,693},{8,0,180},{12,0,163},{8,10,323},{136,10,479},{11,10,580},{142,10,201}, +{5,10,59},{135,10,672},{132,11,354},{146,10,34},{4,0,755},{135,11,1558},{7,0, +1740},{146,0,48},{4,10,85},{135,10,549},{139,0,338},{133,10,94},{134,0,1091},{ +135,11,469},{12,0,695},{12,0,704},{20,0,113},{5,11,830},{14,11,338},{148,11,81}, +{135,0,1464},{6,10,11},{135,10,187},{135,0,975},{13,0,335},{132,10,522},{134,0, +1979},{5,11,496},{135,11,203},{4,10,52},{135,10,661},{7,0,1566},{8,0,269},{9,0, +212},{9,0,718},{14,0,15},{14,0,132},{142,0,227},{4,0,890},{5,0,805},{5,0,819},{5 +,0,961},{6,0,396},{6,0,1631},{6,0,1678},{7,0,1967},{7,0,2041},{9,0,630},{11,0,8} +,{11,0,1019},{12,0,176},{13,0,225},{14,0,292},{21,0,24},{4,10,383},{133,10,520}, +{134,11,547},{135,11,1748},{5,11,88},{137,11,239},{146,11,128},{7,11,650},{135, +11,1310},{4,10,281},{5,10,38},{7,10,194},{7,10,668},{7,10,1893},{137,10,397},{ +135,0,1815},{9,10,635},{139,10,559},{7,0,1505},{10,0,190},{10,0,634},{11,0,792}, +{12,0,358},{140,0,447},{5,0,0},{6,0,536},{7,0,604},{13,0,445},{145,0,126},{7,11, +1076},{9,11,80},{11,11,78},{11,11,421},{11,11,534},{140,11,545},{8,0,966},{10,0, +1023},{14,11,369},{146,11,72},{135,11,1641},{6,0,232},{6,0,412},{7,0,1074},{8,0, +9},{8,0,157},{8,0,786},{9,0,196},{9,0,352},{9,0,457},{10,0,337},{11,0,232},{11,0 +,877},{12,0,480},{140,0,546},{135,0,958},{4,0,382},{136,0,579},{4,0,212},{135,0, +1206},{4,11,497},{5,11,657},{135,11,1584},{132,0,681},{8,0,971},{138,0,965},{5, +10,448},{136,10,535},{14,0,16},{146,0,44},{11,0,584},{11,0,616},{14,0,275},{11, +11,584},{11,11,616},{142,11,275},{136,11,13},{7,10,610},{135,10,1501},{7,11,642} +,{8,11,250},{11,11,123},{11,11,137},{13,11,48},{142,11,95},{133,0,655},{17,0,67} +,{147,0,74},{134,0,751},{134,0,1967},{6,0,231},{136,0,423},{5,0,300},{138,0,1016 +},{4,10,319},{5,10,699},{138,10,673},{6,0,237},{7,0,611},{8,0,100},{9,0,416},{11 +,0,335},{12,0,173},{18,0,101},{6,10,336},{8,10,552},{9,10,285},{10,10,99},{139, +10,568},{134,0,1370},{7,10,1406},{9,10,218},{141,10,222},{133,10,256},{135,0, +1208},{14,11,213},{148,11,38},{6,0,1219},{135,11,1642},{13,0,417},{14,0,129},{ +143,0,15},{10,11,545},{140,11,301},{17,10,39},{148,10,36},{133,0,199},{4,11,904} +,{133,11,794},{12,0,427},{146,0,38},{134,0,949},{8,0,665},{135,10,634},{132,10, +618},{135,10,259},{132,10,339},{133,11,761},{141,10,169},{132,10,759},{5,0,688}, +{7,0,539},{135,0,712},{7,11,386},{138,11,713},{134,0,1186},{6,11,7},{6,11,35},{7 +,11,147},{7,11,1069},{7,11,1568},{7,11,1575},{7,11,1917},{8,11,43},{8,11,208},{9 +,11,128},{9,11,866},{10,11,20},{11,11,981},{147,11,33},{7,11,893},{8,10,482},{ +141,11,424},{6,0,312},{6,0,1715},{10,0,584},{11,0,546},{11,0,692},{12,0,259},{12 +,0,295},{13,0,46},{141,0,154},{5,10,336},{6,10,341},{6,10,478},{6,10,1763},{136, +10,386},{137,0,151},{132,0,588},{152,0,4},{6,11,322},{9,11,552},{11,11,274},{13, +11,209},{13,11,499},{14,11,85},{15,11,126},{145,11,70},{135,10,73},{4,0,231},{5, +0,61},{6,0,104},{7,0,729},{7,0,964},{7,0,1658},{140,0,414},{6,0,263},{138,0,757} +,{135,10,1971},{4,0,612},{133,0,561},{132,0,320},{135,10,1344},{8,11,83},{8,11, +817},{9,11,28},{9,11,29},{9,11,885},{10,11,387},{11,11,633},{11,11,740},{13,11, +235},{13,11,254},{15,11,143},{143,11,146},{5,10,396},{134,10,501},{140,11,49},{ +132,0,225},{4,10,929},{5,10,799},{8,10,46},{136,10,740},{4,0,405},{7,0,817},{14, +0,58},{17,0,37},{146,0,124},{133,0,974},{4,11,412},{133,11,581},{4,10,892},{133, +10,770},{4,0,996},{134,0,2026},{4,0,527},{5,0,235},{7,0,1239},{11,0,131},{140,0, +370},{9,0,16},{13,0,386},{135,11,421},{7,0,956},{7,0,1157},{7,0,1506},{7,0,1606} +,{7,0,1615},{7,0,1619},{7,0,1736},{7,0,1775},{8,0,590},{9,0,324},{9,0,736},{9,0, +774},{9,0,776},{9,0,784},{10,0,567},{10,0,708},{11,0,518},{11,0,613},{11,0,695}, +{11,0,716},{11,0,739},{11,0,770},{11,0,771},{11,0,848},{11,0,857},{11,0,931},{11 +,0,947},{12,0,326},{12,0,387},{12,0,484},{12,0,528},{12,0,552},{12,0,613},{13,0, +189},{13,0,256},{13,0,340},{13,0,432},{13,0,436},{13,0,440},{13,0,454},{14,0,174 +},{14,0,220},{14,0,284},{14,0,390},{145,0,121},{135,10,158},{9,0,137},{138,0,221 +},{4,11,110},{10,11,415},{10,11,597},{142,11,206},{141,11,496},{135,11,205},{151 +,10,25},{135,11,778},{7,11,1656},{7,10,2001},{9,11,369},{10,11,338},{10,11,490}, +{11,11,154},{11,11,545},{11,11,775},{13,11,77},{141,11,274},{4,11,444},{10,11, +146},{140,11,9},{7,0,390},{138,0,140},{135,0,1144},{134,0,464},{7,10,1461},{140, +10,91},{132,10,602},{4,11,283},{135,11,1194},{5,0,407},{11,0,204},{11,0,243},{11 +,0,489},{12,0,293},{19,0,37},{20,0,73},{150,0,38},{7,0,1218},{136,0,303},{5,0, +325},{8,0,5},{8,0,227},{9,0,105},{10,0,585},{12,0,614},{4,10,13},{5,10,567},{7, +10,1498},{9,10,124},{11,10,521},{140,10,405},{135,10,1006},{7,0,800},{10,0,12},{ +134,11,1720},{135,0,1783},{132,10,735},{138,10,812},{4,10,170},{135,10,323},{6,0 +,621},{13,0,504},{144,0,89},{5,10,304},{135,10,1403},{137,11,216},{6,0,920},{6,0 +,1104},{9,11,183},{139,11,286},{4,0,376},{133,10,742},{134,0,218},{8,0,641},{11, +0,388},{140,0,580},{7,0,454},{7,0,782},{8,0,768},{140,0,686},{137,11,33},{133,10 +,111},{144,0,0},{10,0,676},{140,0,462},{6,0,164},{136,11,735},{133,10,444},{150, +0,50},{7,11,1862},{12,11,491},{12,11,520},{13,11,383},{14,11,244},{146,11,12},{5 +,11,132},{9,11,486},{9,11,715},{10,11,458},{11,11,373},{11,11,668},{11,11,795},{ +11,11,897},{12,11,272},{12,11,424},{12,11,539},{12,11,558},{14,11,245},{14,11, +263},{14,11,264},{14,11,393},{142,11,403},{8,10,123},{15,10,6},{144,10,7},{6,0, +285},{8,0,654},{11,0,749},{12,0,190},{12,0,327},{13,0,120},{13,0,121},{13,0,327} +,{15,0,47},{146,0,40},{5,11,8},{6,11,89},{6,11,400},{7,11,1569},{7,11,1623},{7, +11,1850},{8,11,218},{8,11,422},{9,11,570},{138,11,626},{6,11,387},{7,11,882},{ +141,11,111},{6,0,343},{7,0,195},{9,0,226},{10,0,197},{10,0,575},{11,0,502},{11,0 +,899},{6,11,224},{7,11,877},{137,11,647},{5,10,937},{135,10,100},{135,11,790},{ +150,0,29},{147,0,8},{134,0,1812},{149,0,8},{135,11,394},{7,0,1125},{9,0,143},{11 +,0,61},{14,0,405},{150,0,21},{10,11,755},{147,11,29},{9,11,378},{141,11,162},{ +135,10,922},{5,10,619},{133,10,698},{134,0,1327},{6,0,1598},{137,0,575},{9,11, +569},{12,11,12},{12,11,81},{12,11,319},{13,11,69},{14,11,259},{16,11,87},{17,11, +1},{17,11,21},{17,11,24},{18,11,15},{18,11,56},{18,11,59},{18,11,127},{18,11,154 +},{19,11,19},{148,11,31},{6,0,895},{135,11,1231},{5,0,959},{7,11,124},{136,11,38 +},{5,11,261},{7,11,78},{7,11,199},{8,11,815},{9,11,126},{138,11,342},{5,10,917}, +{134,10,1659},{7,0,1759},{5,11,595},{135,11,1863},{136,0,173},{134,0,266},{142,0 +,261},{132,11,628},{5,10,251},{5,10,956},{8,10,268},{9,10,214},{146,10,142},{7, +11,266},{136,11,804},{135,11,208},{6,11,79},{7,11,1021},{135,11,1519},{11,11,704 +},{141,11,396},{5,10,346},{5,10,711},{136,10,390},{136,11,741},{134,11,376},{134 +,0,1427},{6,0,1033},{6,0,1217},{136,0,300},{133,10,624},{6,11,100},{7,11,244},{7 +,11,632},{7,11,1609},{8,11,178},{8,11,638},{141,11,58},{6,0,584},{5,10,783},{7, +10,1998},{135,10,2047},{5,0,427},{5,0,734},{7,0,478},{136,0,52},{7,0,239},{11,0, +217},{142,0,165},{134,0,1129},{6,0,168},{6,0,1734},{7,0,20},{7,0,1056},{8,0,732} +,{9,0,406},{9,0,911},{138,0,694},{132,10,594},{133,11,791},{7,11,686},{8,11,33}, +{8,11,238},{10,11,616},{11,11,467},{11,11,881},{13,11,217},{13,11,253},{142,11, +268},{137,11,476},{134,0,418},{133,0,613},{132,0,632},{132,11,447},{7,0,32},{7,0 +,984},{8,0,85},{8,0,709},{9,0,579},{9,0,847},{9,0,856},{10,0,799},{11,0,258},{11 +,0,1007},{12,0,331},{12,0,615},{13,0,188},{13,0,435},{14,0,8},{15,0,165},{16,0, +27},{20,0,40},{144,11,35},{4,11,128},{5,11,415},{6,11,462},{7,11,294},{7,11,578} +,{10,11,710},{139,11,86},{5,0,694},{136,0,909},{7,0,1109},{11,0,7},{5,10,37},{6, +10,39},{6,10,451},{7,10,218},{7,10,1166},{7,10,1687},{8,10,662},{144,10,2},{136, +11,587},{6,11,427},{7,11,1018},{138,11,692},{4,11,195},{6,10,508},{135,11,802},{ +4,0,167},{135,0,82},{5,0,62},{6,0,24},{6,0,534},{7,0,74},{7,0,678},{7,0,684},{7, +0,1043},{7,0,1072},{8,0,280},{8,0,541},{8,0,686},{9,0,258},{10,0,519},{11,0,252} +,{140,0,282},{138,0,33},{4,0,359},{133,11,738},{7,0,980},{9,0,328},{13,0,186},{ +13,0,364},{7,10,635},{7,10,796},{8,10,331},{9,10,330},{9,10,865},{10,10,119},{10 +,10,235},{11,10,111},{11,10,129},{11,10,240},{12,10,31},{12,10,66},{12,10,222},{ +12,10,269},{12,10,599},{12,10,684},{12,10,689},{12,10,691},{142,10,345},{137,10, +527},{6,0,596},{7,0,585},{135,10,702},{134,11,1683},{133,0,211},{6,0,145},{141,0 +,336},{134,0,1130},{7,0,873},{6,10,37},{7,10,1666},{8,10,195},{8,10,316},{9,10, +178},{9,10,276},{9,10,339},{9,10,536},{10,10,102},{10,10,362},{10,10,785},{11,10 +,55},{11,10,149},{11,10,773},{13,10,416},{13,10,419},{14,10,38},{14,10,41},{142, +10,210},{8,0,840},{136,0,841},{132,0,263},{5,11,3},{8,11,578},{9,11,118},{10,11, +705},{12,11,383},{141,11,279},{132,0,916},{133,11,229},{133,10,645},{15,0,155},{ +16,0,79},{8,11,102},{10,11,578},{10,11,672},{12,11,496},{13,11,408},{14,11,121}, +{145,11,106},{4,0,599},{5,0,592},{6,0,1634},{7,0,5},{7,0,55},{7,0,67},{7,0,97},{ +7,0,691},{7,0,979},{7,0,1600},{7,0,1697},{8,0,207},{8,0,214},{8,0,231},{8,0,294} +,{8,0,336},{8,0,428},{8,0,471},{8,0,622},{8,0,626},{8,0,679},{8,0,759},{8,0,829} +,{9,0,11},{9,0,246},{9,0,484},{9,0,573},{9,0,706},{9,0,762},{9,0,798},{9,0,855}, +{9,0,870},{9,0,912},{10,0,303},{10,0,335},{10,0,424},{10,0,461},{10,0,543},{10,0 +,759},{10,0,814},{11,0,59},{11,0,199},{11,0,235},{11,0,590},{11,0,631},{11,0,929 +},{11,0,963},{11,0,987},{12,0,114},{12,0,182},{12,0,226},{12,0,332},{12,0,439},{ +12,0,575},{12,0,598},{12,0,675},{13,0,8},{13,0,125},{13,0,194},{13,0,287},{14,0, +197},{14,0,383},{15,0,53},{17,0,63},{19,0,46},{19,0,98},{19,0,106},{148,0,85},{7 +,0,1356},{132,10,290},{6,10,70},{7,10,1292},{10,10,762},{139,10,288},{150,11,55} +,{4,0,593},{8,11,115},{8,11,350},{9,11,489},{10,11,128},{11,11,306},{12,11,373}, +{14,11,30},{17,11,79},{147,11,80},{135,11,1235},{134,0,1392},{4,11,230},{133,11, +702},{147,0,126},{7,10,131},{7,10,422},{8,10,210},{140,10,573},{134,0,1179},{139 +,11,435},{139,10,797},{134,11,1728},{4,0,162},{18,11,26},{19,11,42},{20,11,43},{ +21,11,0},{23,11,27},{152,11,14},{132,10,936},{6,0,765},{5,10,453},{134,10,441},{ +133,0,187},{135,0,1286},{6,0,635},{6,0,904},{6,0,1210},{134,0,1489},{4,0,215},{8 +,0,890},{9,0,38},{10,0,923},{11,0,23},{11,0,127},{139,0,796},{6,0,1165},{134,0, +1306},{7,0,716},{13,0,97},{141,0,251},{132,10,653},{136,0,657},{146,10,80},{5,11 +,622},{7,11,1032},{11,11,26},{11,11,213},{11,11,707},{12,11,380},{13,11,226},{ +141,11,355},{6,0,299},{5,11,70},{6,11,334},{9,11,171},{11,11,637},{12,11,202},{ +14,11,222},{145,11,42},{142,0,134},{4,11,23},{5,11,313},{5,11,1014},{6,11,50},{6 +,11,51},{7,11,142},{7,11,384},{9,11,783},{139,11,741},{4,11,141},{7,11,559},{8, +11,640},{9,11,460},{12,11,183},{141,11,488},{136,11,614},{7,10,1368},{8,10,232}, +{8,10,361},{10,10,682},{138,10,742},{137,10,534},{6,0,1082},{140,0,658},{137,10, +27},{135,0,2002},{142,10,12},{4,0,28},{5,0,440},{7,0,248},{11,0,833},{140,0,344} +,{7,10,736},{139,10,264},{134,10,1657},{134,0,1654},{138,0,531},{5,11,222},{9,11 +,140},{138,11,534},{6,0,634},{6,0,798},{134,0,840},{138,11,503},{135,10,127},{ +133,0,853},{5,11,154},{7,11,1491},{10,11,379},{138,11,485},{6,0,249},{7,0,1234}, +{139,0,573},{133,11,716},{7,11,1570},{140,11,542},{136,10,364},{138,0,527},{4,11 +,91},{5,11,388},{5,11,845},{6,11,206},{6,11,252},{6,11,365},{7,11,136},{7,11,531 +},{8,11,264},{136,11,621},{134,0,1419},{135,11,1441},{7,0,49},{7,0,392},{8,0,20} +,{8,0,172},{8,0,690},{9,0,383},{9,0,845},{10,0,48},{11,0,293},{11,0,832},{11,0, +920},{11,0,984},{141,0,221},{5,0,858},{133,0,992},{5,0,728},{137,10,792},{5,10, +909},{9,10,849},{138,10,805},{7,0,525},{7,0,1579},{8,0,497},{136,0,573},{6,0,268 +},{137,0,62},{135,11,576},{134,0,1201},{5,11,771},{5,11,863},{5,11,898},{6,11, +1632},{6,11,1644},{134,11,1780},{133,11,331},{7,0,193},{7,0,1105},{10,0,495},{7, +10,397},{8,10,124},{8,10,619},{9,10,305},{11,10,40},{12,10,349},{13,10,134},{13, +10,295},{14,10,155},{15,10,120},{146,10,105},{138,0,106},{6,0,859},{5,11,107},{7 +,11,201},{136,11,518},{6,11,446},{135,11,1817},{13,0,23},{4,10,262},{135,10,342} +,{133,10,641},{137,11,851},{6,0,925},{137,0,813},{132,11,504},{6,0,613},{136,0, +223},{4,10,99},{6,10,250},{6,10,346},{8,10,127},{138,10,81},{136,0,953},{132,10, +915},{139,11,892},{5,10,75},{9,10,517},{10,10,470},{12,10,155},{141,10,224},{4,0 +,666},{7,0,1017},{7,11,996},{138,11,390},{5,11,883},{133,11,975},{14,10,83},{142 +,11,83},{4,0,670},{5,11,922},{134,11,1707},{135,0,216},{9,0,40},{11,0,136},{135, +11,787},{5,10,954},{5,11,993},{7,11,515},{137,11,91},{139,0,259},{7,0,1114},{9,0 +,310},{9,0,682},{10,0,440},{13,0,40},{6,10,304},{8,10,418},{11,10,341},{139,10, +675},{14,0,296},{9,10,410},{139,10,425},{10,11,377},{12,11,363},{13,11,68},{13, +11,94},{14,11,108},{142,11,306},{7,0,1401},{135,0,1476},{4,0,296},{6,0,475},{7,0 +,401},{7,0,1410},{7,0,1594},{7,0,1674},{8,0,63},{8,0,660},{137,0,74},{4,0,139},{ +4,0,388},{140,0,188},{132,0,797},{132,11,766},{5,11,103},{7,11,921},{8,11,580},{ +8,11,593},{8,11,630},{138,11,28},{4,11,911},{5,11,867},{133,11,1013},{134,10,14} +,{134,0,1572},{134,10,1708},{21,0,39},{5,10,113},{6,10,243},{7,10,1865},{11,10, +161},{16,10,37},{145,10,99},{7,11,1563},{141,11,182},{5,11,135},{6,11,519},{7,11 +,1722},{10,11,271},{11,11,261},{145,11,54},{132,10,274},{134,0,1594},{4,11,300}, +{5,11,436},{135,11,484},{4,0,747},{6,0,290},{7,0,649},{7,0,1479},{135,0,1583},{ +133,11,535},{147,11,82},{133,0,232},{137,0,887},{135,10,166},{136,0,521},{4,0,14 +},{7,0,472},{7,0,1801},{10,0,748},{141,0,458},{134,0,741},{134,0,992},{16,0,111} +,{137,10,304},{4,0,425},{5,11,387},{7,11,557},{12,11,547},{142,11,86},{135,11, +1747},{5,10,654},{135,11,1489},{7,0,789},{4,11,6},{5,11,708},{136,11,75},{6,10, +273},{10,10,188},{13,10,377},{146,10,77},{6,0,1593},{4,11,303},{7,11,619},{10,11 +,547},{10,11,687},{11,11,122},{140,11,601},{134,0,1768},{135,10,410},{138,11,772 +},{11,0,233},{139,10,524},{5,0,943},{134,0,1779},{134,10,1785},{136,11,529},{132 +,0,955},{5,0,245},{6,0,576},{7,0,582},{136,0,225},{132,10,780},{142,0,241},{134, +0,1943},{4,11,106},{7,11,310},{7,11,1785},{10,11,690},{139,11,717},{134,0,1284}, +{5,11,890},{133,11,988},{6,11,626},{142,11,431},{10,11,706},{145,11,32},{137,11, +332},{132,11,698},{135,0,709},{5,10,948},{138,11,17},{136,0,554},{134,0,1564},{ +139,10,941},{132,0,443},{134,0,909},{134,11,84},{142,0,280},{4,10,532},{5,10,706 +},{135,10,662},{132,0,729},{5,10,837},{6,10,1651},{139,10,985},{135,10,1861},{4, +0,348},{152,11,3},{5,11,986},{6,11,130},{7,11,1582},{8,11,458},{10,11,101},{10, +11,318},{138,11,823},{134,0,758},{4,0,298},{137,0,848},{4,10,330},{7,10,933},{7, +10,2012},{136,10,292},{7,11,1644},{137,11,129},{6,0,1422},{9,0,829},{135,10,767} +,{5,0,164},{7,0,121},{142,0,189},{7,0,812},{7,0,1261},{7,0,1360},{9,0,632},{140, +0,352},{135,11,1788},{139,0,556},{135,11,997},{145,10,114},{4,0,172},{9,0,611},{ +10,0,436},{12,0,673},{13,0,255},{137,10,883},{11,0,530},{138,10,274},{133,0,844} +,{134,0,984},{13,0,232},{18,0,35},{4,10,703},{135,10,207},{132,10,571},{9,0,263} +,{10,0,147},{138,0,492},{7,11,1756},{137,11,98},{5,10,873},{5,10,960},{8,10,823} +,{137,10,881},{133,0,537},{132,0,859},{7,11,1046},{139,11,160},{137,0,842},{139, +10,283},{5,10,33},{6,10,470},{139,10,424},{6,11,45},{7,11,433},{8,11,129},{9,11, +21},{10,11,392},{11,11,79},{12,11,499},{13,11,199},{141,11,451},{135,0,1291},{ +135,10,1882},{7,11,558},{136,11,353},{134,0,1482},{5,0,230},{5,0,392},{6,0,420}, +{9,0,568},{140,0,612},{6,0,262},{7,10,90},{7,10,664},{7,10,830},{7,10,1380},{7, +10,2025},{8,11,81},{8,10,448},{8,10,828},{9,11,189},{9,11,201},{11,11,478},{11, +11,712},{141,11,338},{142,0,31},{5,11,353},{151,11,26},{132,0,753},{4,0,0},{5,0, +41},{7,0,1459},{7,0,1469},{7,0,1859},{9,0,549},{139,0,905},{9,10,417},{137,10, +493},{135,11,1113},{133,0,696},{141,11,448},{134,10,295},{132,0,834},{4,0,771},{ +5,10,1019},{6,11,25},{7,11,855},{7,11,1258},{144,11,32},{134,0,1076},{133,0,921} +,{133,0,674},{4,11,4},{7,11,1118},{7,11,1320},{7,11,1706},{8,11,277},{9,11,622}, +{10,11,9},{11,11,724},{12,11,350},{12,11,397},{13,11,28},{13,11,159},{15,11,89}, +{18,11,5},{19,11,9},{20,11,34},{150,11,47},{134,10,208},{6,0,444},{136,0,308},{6 +,0,180},{7,0,1137},{8,0,751},{139,0,805},{4,0,183},{7,0,271},{11,0,824},{11,0, +952},{13,0,278},{13,0,339},{13,0,482},{14,0,424},{148,0,99},{7,11,317},{135,11, +569},{4,0,19},{5,0,477},{5,0,596},{6,0,505},{7,0,1221},{11,0,907},{12,0,209},{ +141,0,214},{135,0,1215},{6,0,271},{7,0,398},{8,0,387},{10,0,344},{7,10,448},{7, +10,1629},{7,10,1813},{8,10,442},{9,10,710},{10,10,282},{138,10,722},{11,10,844}, +{12,10,104},{140,10,625},{134,11,255},{133,10,787},{134,0,1645},{11,11,956},{151 +,11,3},{6,0,92},{6,0,188},{7,0,209},{7,0,1269},{7,0,1524},{7,0,1876},{8,0,661},{ +10,0,42},{10,0,228},{11,0,58},{11,0,1020},{12,0,58},{12,0,118},{141,0,32},{4,0, +459},{133,0,966},{4,11,536},{7,11,1141},{10,11,723},{139,11,371},{140,0,330},{ +134,0,1557},{7,11,285},{135,11,876},{136,10,491},{135,11,560},{6,0,18},{7,0,179} +,{7,0,932},{8,0,548},{8,0,757},{9,0,54},{9,0,65},{9,0,532},{9,0,844},{10,0,113}, +{10,0,117},{10,0,315},{10,0,560},{10,0,622},{10,0,798},{11,0,153},{11,0,351},{11 +,0,375},{12,0,78},{12,0,151},{12,0,392},{12,0,666},{14,0,248},{143,0,23},{6,0, +1742},{132,11,690},{4,10,403},{5,10,441},{7,10,450},{10,10,840},{11,10,101},{12, +10,193},{141,10,430},{133,0,965},{134,0,182},{10,0,65},{10,0,488},{138,0,497},{ +135,11,1346},{6,0,973},{6,0,1158},{10,11,200},{19,11,2},{151,11,22},{4,11,190},{ +133,11,554},{133,10,679},{7,0,328},{137,10,326},{133,11,1001},{9,0,588},{138,0, +260},{133,11,446},{135,10,1128},{135,10,1796},{147,11,119},{134,0,1786},{6,0, +1328},{6,0,1985},{8,0,962},{138,0,1017},{135,0,308},{11,0,508},{4,10,574},{7,10, +350},{7,10,1024},{8,10,338},{9,10,677},{138,10,808},{138,11,752},{135,10,1081},{ +137,11,96},{7,10,1676},{135,10,2037},{136,0,588},{132,11,304},{133,0,614},{140,0 +,793},{136,0,287},{137,10,297},{141,10,37},{6,11,53},{6,11,199},{7,11,1408},{8, +11,32},{8,11,93},{9,11,437},{10,11,397},{10,11,629},{11,11,593},{11,11,763},{13, +11,326},{145,11,35},{134,11,105},{9,11,320},{10,11,506},{138,11,794},{5,11,114}, +{5,11,255},{141,11,285},{140,0,290},{7,11,2035},{8,11,19},{9,11,89},{138,11,831} +,{134,0,1136},{7,0,719},{8,0,796},{8,0,809},{8,0,834},{6,10,306},{7,10,1140},{7, +10,1340},{8,10,133},{138,10,449},{139,10,1011},{5,0,210},{6,0,213},{7,0,60},{10, +0,364},{139,0,135},{5,0,607},{8,0,326},{136,0,490},{138,11,176},{132,0,701},{5,0 +,472},{7,0,380},{137,0,758},{135,0,1947},{6,0,1079},{138,0,278},{138,11,391},{5, +10,329},{8,10,260},{139,11,156},{4,0,386},{7,0,41},{8,0,405},{8,0,728},{9,0,497} +,{11,0,110},{11,0,360},{15,0,37},{144,0,84},{5,0,46},{7,0,1452},{7,0,1480},{8,0, +634},{140,0,472},{136,0,961},{4,0,524},{136,0,810},{10,0,238},{141,0,33},{132,10 +,657},{152,10,7},{133,0,532},{5,0,997},{135,10,1665},{7,11,594},{7,11,851},{7,11 +,1858},{9,11,411},{9,11,574},{9,11,666},{9,11,737},{10,11,346},{10,11,712},{11, +11,246},{11,11,432},{11,11,517},{11,11,647},{11,11,679},{11,11,727},{12,11,304}, +{12,11,305},{12,11,323},{12,11,483},{12,11,572},{12,11,593},{12,11,602},{13,11, +95},{13,11,101},{13,11,171},{13,11,315},{13,11,378},{13,11,425},{13,11,475},{14, +11,63},{14,11,380},{14,11,384},{15,11,133},{18,11,112},{148,11,72},{5,11,955},{ +136,11,814},{134,0,1301},{5,10,66},{7,10,1896},{136,10,288},{133,11,56},{134,10, +1643},{6,0,1298},{148,11,100},{5,0,782},{5,0,829},{6,0,671},{6,0,1156},{6,0,1738 +},{137,11,621},{4,0,306},{5,0,570},{7,0,1347},{5,10,91},{5,10,648},{5,10,750},{5 +,10,781},{6,10,54},{6,10,112},{6,10,402},{6,10,1732},{7,10,315},{7,10,749},{7,10 +,1900},{9,10,78},{9,10,508},{10,10,611},{10,10,811},{11,10,510},{11,10,728},{13, +10,36},{14,10,39},{16,10,83},{17,10,124},{148,10,30},{8,10,570},{9,11,477},{141, +11,78},{4,11,639},{10,11,4},{10,10,322},{10,10,719},{11,10,407},{11,11,638},{12, +11,177},{148,11,57},{7,0,1823},{139,0,693},{7,0,759},{5,11,758},{8,10,125},{8,10 +,369},{8,10,524},{10,10,486},{11,10,13},{11,10,381},{11,10,736},{11,10,766},{11, +10,845},{13,10,114},{13,10,292},{142,10,47},{7,0,1932},{6,10,1684},{6,10,1731},{ +7,10,356},{8,10,54},{8,10,221},{9,10,225},{9,10,356},{10,10,77},{10,10,446},{10, +10,731},{12,10,404},{141,10,491},{135,11,552},{135,11,1112},{4,0,78},{5,0,96},{5 +,0,182},{6,0,1257},{7,0,1724},{7,0,1825},{10,0,394},{10,0,471},{11,0,532},{14,0, +340},{145,0,88},{139,11,328},{135,0,1964},{132,10,411},{4,10,80},{5,10,44},{137, +11,133},{5,11,110},{6,11,169},{6,11,1702},{7,11,400},{8,11,538},{9,11,184},{9,11 +,524},{140,11,218},{4,0,521},{5,10,299},{7,10,1083},{140,11,554},{6,11,133},{9, +11,353},{12,11,628},{146,11,79},{6,0,215},{7,0,584},{7,0,1028},{7,0,1473},{7,0, +1721},{9,0,424},{138,0,779},{7,0,857},{7,0,1209},{7,10,1713},{9,10,537},{10,10, +165},{12,10,219},{140,10,561},{4,10,219},{6,11,93},{7,11,1422},{7,10,1761},{7,11 +,1851},{8,11,673},{9,10,86},{9,11,529},{140,11,43},{137,11,371},{136,0,671},{5,0 +,328},{135,0,918},{132,0,529},{9,11,25},{10,11,467},{138,11,559},{4,11,335},{135 +,11,942},{134,0,716},{134,0,1509},{6,0,67},{7,0,258},{7,0,1630},{9,0,354},{9,0, +675},{10,0,830},{14,0,80},{17,0,80},{140,10,428},{134,0,1112},{6,0,141},{7,0,225 +},{9,0,59},{9,0,607},{10,0,312},{11,0,687},{12,0,555},{13,0,373},{13,0,494},{148 +,0,58},{133,10,514},{8,11,39},{10,11,773},{11,11,84},{12,11,205},{142,11,1},{8,0 +,783},{5,11,601},{133,11,870},{136,11,594},{4,10,55},{5,10,301},{6,10,571},{14, +10,49},{146,10,102},{132,11,181},{134,11,1652},{133,10,364},{4,11,97},{5,11,147} +,{6,11,286},{7,11,1362},{141,11,176},{4,10,76},{7,10,1550},{9,10,306},{9,10,430} +,{9,10,663},{10,10,683},{11,10,427},{11,10,753},{12,10,334},{12,10,442},{14,10, +258},{14,10,366},{143,10,131},{137,10,52},{6,0,955},{134,0,1498},{6,11,375},{7, +11,169},{7,11,254},{136,11,780},{7,0,430},{11,0,46},{14,0,343},{142,11,343},{135 +,0,1183},{5,0,602},{7,0,2018},{9,0,418},{9,0,803},{135,11,1447},{8,0,677},{135, +11,1044},{139,11,285},{4,10,656},{135,10,779},{135,10,144},{5,11,629},{135,11, +1549},{135,10,1373},{138,11,209},{7,10,554},{7,10,605},{141,10,10},{5,10,838},{5 +,10,841},{134,10,1649},{133,10,1012},{6,0,1357},{134,0,1380},{144,0,53},{6,0,590 +},{7,10,365},{7,10,1357},{7,10,1497},{8,10,154},{141,10,281},{133,10,340},{132, +11,420},{135,0,329},{147,11,32},{4,0,469},{10,11,429},{139,10,495},{8,10,261},{9 +,10,144},{9,10,466},{10,10,370},{12,10,470},{13,10,144},{142,10,348},{142,0,460} +,{4,11,325},{9,10,897},{138,11,125},{6,0,1743},{6,10,248},{9,10,546},{10,10,535} +,{11,10,681},{141,10,135},{4,0,990},{5,0,929},{6,0,340},{8,0,376},{8,0,807},{8,0 +,963},{8,0,980},{138,0,1007},{134,0,1603},{140,0,250},{4,11,714},{133,11,469},{ +134,10,567},{136,10,445},{5,0,218},{7,0,1610},{8,0,646},{10,0,83},{11,11,138},{ +140,11,40},{7,0,1512},{135,0,1794},{135,11,1216},{11,0,0},{16,0,78},{132,11,718} +,{133,0,571},{132,0,455},{134,0,1012},{5,11,124},{5,11,144},{6,11,548},{7,11,15} +,{7,11,153},{137,11,629},{142,11,10},{6,11,75},{7,11,1531},{8,11,416},{9,11,240} +,{9,11,275},{10,11,100},{11,11,658},{11,11,979},{12,11,86},{13,11,468},{14,11,66 +},{14,11,207},{15,11,20},{15,11,25},{144,11,58},{132,10,577},{5,11,141},{5,11, +915},{6,11,1783},{7,11,211},{7,11,698},{7,11,1353},{9,11,83},{9,11,281},{10,11, +376},{10,11,431},{11,11,543},{12,11,664},{13,11,280},{13,11,428},{14,11,61},{14, +11,128},{17,11,52},{145,11,81},{6,0,161},{7,0,372},{137,0,597},{132,0,349},{10, +11,702},{139,11,245},{134,0,524},{134,10,174},{6,0,432},{9,0,751},{139,0,322},{ +147,11,94},{4,11,338},{133,11,400},{5,0,468},{10,0,325},{11,0,856},{12,0,345},{ +143,0,104},{133,0,223},{132,0,566},{4,11,221},{5,11,659},{5,11,989},{7,11,697},{ +7,11,1211},{138,11,284},{135,11,1070},{4,0,59},{135,0,1394},{6,0,436},{11,0,481} +,{5,10,878},{133,10,972},{4,0,48},{5,0,271},{135,0,953},{5,0,610},{136,0,457},{4 +,0,773},{5,0,618},{137,0,756},{133,0,755},{135,0,1217},{138,11,507},{132,10,351} +,{132,0,197},{143,11,78},{4,11,188},{7,11,805},{11,11,276},{142,11,293},{5,11, +884},{139,11,991},{132,10,286},{10,0,259},{10,0,428},{7,10,438},{7,10,627},{7,10 +,1516},{8,10,40},{9,10,56},{9,10,294},{11,10,969},{11,10,995},{146,10,148},{4,0, +356},{5,0,217},{5,0,492},{5,0,656},{8,0,544},{136,11,544},{5,0,259},{6,0,1230},{ +7,0,414},{7,0,854},{142,0,107},{132,0,1007},{15,0,14},{144,0,5},{6,0,1580},{132, +10,738},{132,11,596},{132,0,673},{133,10,866},{6,0,1843},{135,11,1847},{4,0,165} +,{7,0,1398},{135,0,1829},{135,11,1634},{147,11,65},{6,0,885},{6,0,1009},{137,0, +809},{133,10,116},{132,10,457},{136,11,770},{9,0,498},{12,0,181},{10,11,361},{ +142,11,316},{134,11,595},{5,0,9},{7,0,297},{7,0,966},{140,0,306},{4,11,89},{5,11 +,489},{6,11,315},{7,11,553},{7,11,1745},{138,11,243},{134,0,1487},{132,0,437},{5 +,0,146},{6,0,411},{138,0,721},{5,10,527},{6,10,189},{135,10,859},{11,10,104},{11 +,10,554},{15,10,60},{143,10,125},{6,11,1658},{9,11,3},{10,11,154},{11,11,641},{ +13,11,85},{13,11,201},{141,11,346},{6,0,177},{135,0,467},{134,0,1377},{134,10, +116},{136,11,645},{4,11,166},{5,11,505},{6,11,1670},{137,11,110},{133,10,487},{4 +,10,86},{5,10,667},{5,10,753},{6,10,316},{6,10,455},{135,10,946},{133,0,200},{ +132,0,959},{6,0,1928},{134,0,1957},{139,11,203},{150,10,45},{4,10,79},{7,10,1773 +},{10,10,450},{11,10,589},{13,10,332},{13,10,493},{14,10,183},{14,10,334},{14,10 +,362},{14,10,368},{14,10,376},{14,10,379},{19,10,90},{19,10,103},{19,10,127},{ +148,10,90},{6,0,1435},{135,11,1275},{134,0,481},{7,11,445},{8,11,307},{8,11,704} +,{10,11,41},{10,11,439},{11,11,237},{11,11,622},{140,11,201},{135,11,869},{4,0, +84},{7,0,1482},{10,0,76},{138,0,142},{11,11,277},{144,11,14},{135,11,1977},{4,11 +,189},{5,11,713},{136,11,57},{133,0,1015},{138,11,371},{4,0,315},{5,0,507},{135, +0,1370},{4,11,552},{142,10,381},{9,0,759},{16,0,31},{16,0,39},{16,0,75},{18,0,24 +},{20,0,42},{152,0,1},{134,0,712},{134,0,1722},{133,10,663},{133,10,846},{8,0, +222},{8,0,476},{9,0,238},{11,0,516},{11,0,575},{15,0,109},{146,0,100},{7,0,1402} +,{7,0,1414},{12,0,456},{5,10,378},{8,10,465},{9,10,286},{10,10,185},{10,10,562}, +{10,10,635},{11,10,31},{11,10,393},{13,10,312},{18,10,65},{18,10,96},{147,10,89} +,{4,0,986},{6,0,1958},{6,0,2032},{8,0,934},{138,0,985},{7,10,1880},{9,10,680},{ +139,10,798},{134,10,1770},{145,11,49},{132,11,614},{132,10,648},{5,10,945},{6,10 +,1656},{6,10,1787},{7,10,167},{8,10,824},{9,10,391},{10,10,375},{139,10,185},{ +138,11,661},{7,0,1273},{135,11,1945},{7,0,706},{7,0,1058},{138,0,538},{7,10,1645 +},{8,10,352},{137,10,249},{132,10,152},{11,0,92},{11,0,196},{11,0,409},{11,0,450 +},{11,0,666},{11,0,777},{12,0,262},{13,0,385},{13,0,393},{15,0,115},{16,0,45},{ +145,0,82},{133,10,1006},{6,0,40},{135,0,1781},{9,11,614},{139,11,327},{5,10,420} +,{135,10,1449},{135,0,431},{10,0,97},{135,10,832},{6,0,423},{7,0,665},{135,0, +1210},{7,0,237},{8,0,664},{9,0,42},{9,0,266},{9,0,380},{9,0,645},{10,0,177},{138 +,0,276},{7,0,264},{133,10,351},{8,0,213},{5,10,40},{7,10,598},{7,10,1638},{9,10, +166},{9,10,640},{9,10,685},{9,10,773},{11,10,215},{13,10,65},{14,10,172},{14,10, +317},{145,10,6},{5,11,84},{134,11,163},{8,10,60},{9,10,343},{139,10,769},{137,0, +455},{133,11,410},{8,0,906},{12,0,700},{12,0,706},{140,0,729},{21,11,33},{150,11 +,40},{7,10,1951},{8,10,765},{8,10,772},{140,10,671},{7,10,108},{8,10,219},{8,10, +388},{9,10,639},{9,10,775},{11,10,275},{140,10,464},{5,11,322},{7,11,1941},{8,11 +,186},{9,11,262},{10,11,187},{14,11,208},{146,11,130},{139,0,624},{8,0,574},{5, +11,227},{140,11,29},{7,11,1546},{11,11,299},{142,11,407},{5,10,15},{6,10,56},{7, +10,1758},{8,10,500},{9,10,730},{11,10,331},{13,10,150},{142,10,282},{7,11,1395}, +{8,11,486},{9,11,236},{9,11,878},{10,11,218},{11,11,95},{19,11,17},{147,11,31},{ +135,11,2043},{4,0,354},{146,11,4},{140,11,80},{135,0,1558},{134,10,1886},{5,10, +205},{6,10,438},{137,10,711},{133,11,522},{133,10,534},{7,0,235},{7,0,1475},{15, +0,68},{146,0,120},{137,10,691},{4,0,942},{6,0,1813},{8,0,917},{10,0,884},{12,0, +696},{12,0,717},{12,0,723},{12,0,738},{12,0,749},{12,0,780},{16,0,97},{146,0,169 +},{6,10,443},{8,11,562},{9,10,237},{9,10,571},{9,10,695},{10,10,139},{11,10,715} +,{12,10,417},{141,10,421},{135,0,957},{133,0,830},{134,11,1771},{146,0,23},{5,0, +496},{6,0,694},{7,0,203},{7,11,1190},{137,11,620},{137,11,132},{6,0,547},{134,0, +1549},{8,11,258},{9,11,208},{137,11,359},{4,0,864},{5,0,88},{137,0,239},{135,11, +493},{4,11,317},{135,11,1279},{132,11,477},{4,10,578},{5,11,63},{133,11,509},{7, +0,650},{135,0,1310},{7,0,1076},{9,0,80},{11,0,78},{11,0,421},{11,0,534},{140,0, +545},{132,11,288},{12,0,553},{14,0,118},{133,10,923},{7,0,274},{11,0,479},{139,0 +,507},{8,11,89},{8,11,620},{9,11,49},{10,11,774},{11,11,628},{12,11,322},{143,11 +,124},{4,0,497},{135,0,1584},{7,0,261},{7,0,1115},{7,0,1354},{7,0,1404},{7,0, +1588},{7,0,1705},{7,0,1902},{9,0,465},{10,0,248},{10,0,349},{10,0,647},{11,0,527 +},{11,0,660},{11,0,669},{12,0,529},{13,0,305},{132,10,924},{133,10,665},{136,0, +13},{6,0,791},{138,11,120},{7,0,642},{8,0,250},{11,0,123},{11,0,137},{13,0,48},{ +142,0,95},{4,10,265},{7,10,807},{135,10,950},{5,10,93},{140,10,267},{135,0,1429} +,{4,0,949},{10,0,885},{10,0,891},{10,0,900},{10,0,939},{12,0,760},{142,0,449},{ +139,11,366},{132,0,818},{134,11,85},{135,10,994},{7,0,330},{5,10,233},{5,10,320} +,{6,10,140},{136,10,295},{4,0,1004},{8,0,982},{136,0,993},{133,10,978},{4,10,905 +},{6,10,1701},{137,10,843},{10,0,545},{140,0,301},{6,0,947},{134,0,1062},{134,0, +1188},{4,0,904},{5,0,794},{152,10,6},{134,0,1372},{135,11,608},{5,11,279},{6,11, +235},{7,11,468},{8,11,446},{9,11,637},{10,11,717},{11,11,738},{140,11,514},{132, +10,509},{5,11,17},{6,11,371},{137,11,528},{132,0,693},{4,11,115},{5,11,669},{6, +11,407},{8,11,311},{11,11,10},{141,11,5},{11,0,377},{7,10,273},{137,11,381},{135 +,0,695},{7,0,386},{138,0,713},{135,10,1041},{134,0,1291},{6,0,7},{6,0,35},{7,0, +147},{7,0,1069},{7,0,1568},{7,0,1575},{7,0,1917},{8,0,43},{8,0,208},{9,0,128},{9 +,0,866},{10,0,20},{11,0,981},{147,0,33},{7,0,893},{141,0,424},{139,10,234},{150, +11,56},{5,11,779},{5,11,807},{6,11,1655},{134,11,1676},{5,10,802},{7,10,2021},{ +136,10,805},{4,11,196},{5,10,167},{5,11,558},{5,10,899},{5,11,949},{6,10,410},{ +137,10,777},{137,10,789},{134,10,1705},{8,0,904},{140,0,787},{6,0,322},{9,0,552} +,{11,0,274},{13,0,209},{13,0,499},{14,0,85},{15,0,126},{145,0,70},{135,10,10},{5 +,10,11},{6,10,117},{6,10,485},{7,10,1133},{9,10,582},{9,10,594},{11,10,21},{11, +10,818},{12,10,535},{141,10,86},{4,10,264},{7,10,1067},{8,10,204},{8,10,385},{ +139,10,953},{132,11,752},{138,10,56},{133,10,470},{6,0,1808},{8,0,83},{8,0,742}, +{8,0,817},{9,0,28},{9,0,29},{9,0,885},{10,0,387},{11,0,633},{11,0,740},{13,0,235 +},{13,0,254},{15,0,143},{143,0,146},{140,0,49},{134,0,1832},{4,11,227},{5,11,159 +},{5,11,409},{7,11,80},{10,11,294},{10,11,479},{12,11,418},{14,11,50},{14,11,249 +},{142,11,295},{7,11,1470},{8,11,66},{8,11,137},{8,11,761},{9,11,638},{11,11,80} +,{11,11,212},{11,11,368},{11,11,418},{12,11,8},{13,11,15},{16,11,61},{17,11,59}, +{19,11,28},{148,11,84},{139,10,1015},{138,11,468},{135,0,421},{6,0,415},{7,0, +1049},{137,0,442},{6,11,38},{7,11,1220},{8,11,185},{8,11,256},{9,11,22},{9,11, +331},{10,11,738},{11,11,205},{11,11,540},{11,11,746},{13,11,399},{13,11,465},{14 +,11,88},{142,11,194},{139,0,289},{133,10,715},{4,0,110},{10,0,415},{10,0,597},{ +142,0,206},{4,11,159},{6,11,115},{7,11,252},{7,11,257},{7,11,1928},{8,11,69},{9, +11,384},{10,11,91},{10,11,615},{12,11,375},{14,11,235},{18,11,117},{147,11,123}, +{5,11,911},{136,11,278},{7,0,205},{7,0,2000},{8,10,794},{9,10,400},{10,10,298},{ +142,10,228},{135,11,1774},{4,11,151},{7,11,1567},{8,11,351},{137,11,322},{136,10 +,724},{133,11,990},{7,0,1539},{11,0,512},{13,0,205},{19,0,30},{22,0,36},{23,0,19 +},{135,11,1539},{5,11,194},{7,11,1662},{9,11,90},{140,11,180},{6,10,190},{7,10, +768},{135,10,1170},{134,0,1340},{4,0,283},{135,0,1194},{133,11,425},{133,11,971} +,{12,0,549},{14,10,67},{147,10,60},{135,10,1023},{134,0,1720},{138,11,587},{5,11 +,72},{6,11,264},{7,11,21},{7,11,46},{7,11,2013},{8,11,215},{8,11,513},{10,11,266 +},{139,11,22},{5,0,319},{135,0,534},{6,10,137},{9,10,75},{9,10,253},{10,10,194}, +{138,10,444},{7,0,1180},{20,0,112},{6,11,239},{7,11,118},{10,11,95},{11,11,603}, +{13,11,443},{14,11,160},{143,11,4},{134,11,431},{5,11,874},{6,11,1677},{11,10, +643},{12,10,115},{143,11,0},{134,0,967},{6,11,65},{7,11,939},{7,11,1172},{7,11, +1671},{9,11,540},{10,11,696},{11,11,265},{11,11,732},{11,11,928},{11,11,937},{12 +,11,399},{13,11,438},{149,11,19},{137,11,200},{135,0,1940},{5,10,760},{7,10,542} +,{8,10,135},{136,10,496},{140,11,44},{7,11,1655},{136,11,305},{7,10,319},{7,10, +355},{7,10,763},{10,10,389},{145,10,43},{136,0,735},{138,10,786},{137,11,19},{ +132,11,696},{5,0,132},{9,0,486},{9,0,715},{10,0,458},{11,0,373},{11,0,668},{11,0 +,795},{11,0,897},{12,0,272},{12,0,424},{12,0,539},{12,0,558},{14,0,245},{14,0, +263},{14,0,264},{14,0,393},{142,0,403},{10,0,38},{139,0,784},{132,0,838},{4,11, +302},{135,11,1766},{133,0,379},{5,0,8},{6,0,89},{6,0,400},{7,0,1569},{7,0,1623}, +{7,0,1850},{8,0,218},{8,0,422},{9,0,570},{10,0,626},{4,11,726},{133,11,630},{4,0 +,1017},{138,0,660},{6,0,387},{7,0,882},{141,0,111},{6,0,224},{7,0,877},{137,0, +647},{4,10,58},{5,10,286},{6,10,319},{7,10,402},{7,10,1254},{7,10,1903},{8,10, +356},{140,10,408},{135,0,790},{9,0,510},{10,0,53},{4,10,389},{9,10,181},{10,10, +29},{10,10,816},{11,10,311},{11,10,561},{12,10,67},{141,10,181},{142,0,458},{6, +11,118},{7,11,215},{7,11,1521},{140,11,11},{134,0,954},{135,0,394},{134,0,1367}, +{5,11,225},{133,10,373},{132,0,882},{7,0,1409},{135,10,1972},{135,10,1793},{4,11 +,370},{5,11,756},{135,11,1326},{150,11,13},{7,11,354},{10,11,410},{139,11,815},{ +6,11,1662},{7,11,48},{8,11,771},{10,11,116},{13,11,104},{14,11,105},{14,11,184}, +{15,11,168},{19,11,92},{148,11,68},{7,0,124},{136,0,38},{5,0,261},{7,0,78},{7,0, +199},{8,0,815},{9,0,126},{10,0,342},{140,0,647},{4,0,628},{140,0,724},{7,0,266}, +{8,0,804},{7,10,1651},{145,10,89},{135,0,208},{134,0,1178},{6,0,79},{135,0,1519} +,{132,10,672},{133,10,737},{136,0,741},{132,11,120},{4,0,710},{6,0,376},{134,0, +606},{134,0,1347},{134,0,1494},{6,0,850},{6,0,1553},{137,0,821},{5,10,145},{134, +11,593},{7,0,1311},{140,0,135},{4,0,467},{5,0,405},{134,0,544},{5,11,820},{135, +11,931},{6,0,100},{7,0,244},{7,0,632},{7,0,1609},{8,0,178},{8,0,638},{141,0,58}, +{4,10,387},{135,10,1288},{6,11,151},{6,11,1675},{7,11,383},{151,11,10},{132,0, +481},{135,10,550},{134,0,1378},{6,11,1624},{11,11,11},{12,11,422},{13,11,262},{ +142,11,360},{133,0,791},{4,11,43},{5,11,344},{133,11,357},{7,0,1227},{140,0,978} +,{7,0,686},{8,0,33},{8,0,238},{10,0,616},{11,0,467},{11,0,881},{13,0,217},{13,0, +253},{142,0,268},{137,0,857},{8,0,467},{8,0,1006},{7,11,148},{8,11,284},{141,11, +63},{4,10,576},{135,10,1263},{133,11,888},{5,10,919},{134,10,1673},{20,10,37},{ +148,11,37},{132,0,447},{132,11,711},{4,0,128},{5,0,415},{6,0,462},{7,0,294},{7,0 +,578},{10,0,710},{139,0,86},{4,10,82},{5,10,333},{5,10,904},{6,10,207},{7,10,325 +},{7,10,1726},{8,10,101},{10,10,778},{139,10,220},{136,0,587},{137,11,440},{133, +10,903},{6,0,427},{7,0,1018},{138,0,692},{4,0,195},{135,0,802},{140,10,147},{134 +,0,1546},{134,0,684},{132,10,705},{136,0,345},{11,11,678},{140,11,307},{133,0, +365},{134,0,1683},{4,11,65},{5,11,479},{5,11,1004},{7,11,1913},{8,11,317},{9,11, +302},{10,11,612},{141,11,22},{138,0,472},{4,11,261},{135,11,510},{134,10,90},{ +142,0,433},{151,0,28},{4,11,291},{7,11,101},{9,11,515},{12,11,152},{12,11,443},{ +13,11,392},{142,11,357},{140,0,997},{5,0,3},{8,0,578},{9,0,118},{10,0,705},{141, +0,279},{135,11,1266},{7,10,813},{12,10,497},{141,10,56},{133,0,229},{6,10,125},{ +135,10,1277},{8,0,102},{10,0,578},{10,0,672},{12,0,496},{13,0,408},{14,0,121},{ +17,0,106},{151,10,12},{6,0,866},{134,0,1080},{136,0,1022},{4,11,130},{135,11,843 +},{5,11,42},{5,11,879},{7,11,245},{7,11,324},{7,11,1532},{11,11,463},{11,11,472} +,{13,11,363},{144,11,52},{150,0,55},{8,0,115},{8,0,350},{9,0,489},{10,0,128},{11 +,0,306},{12,0,373},{14,0,30},{17,0,79},{19,0,80},{4,11,134},{133,11,372},{134,0, +657},{134,0,933},{135,11,1147},{4,0,230},{133,0,702},{134,0,1728},{4,0,484},{18, +0,26},{19,0,42},{20,0,43},{21,0,0},{23,0,27},{152,0,14},{7,0,185},{135,0,703},{6 +,0,417},{10,0,618},{7,10,1106},{9,10,770},{11,10,112},{140,10,413},{134,0,803},{ +132,11,644},{134,0,1262},{7,11,540},{12,10,271},{145,10,109},{135,11,123},{132,0 +,633},{134,11,623},{4,11,908},{5,11,359},{5,11,508},{6,11,1723},{7,11,343},{7,11 +,1996},{135,11,2026},{135,0,479},{10,0,262},{7,10,304},{9,10,646},{9,10,862},{11 +,10,696},{12,10,208},{15,10,79},{147,10,108},{4,11,341},{135,11,480},{134,0,830} +,{5,0,70},{5,0,622},{6,0,334},{7,0,1032},{9,0,171},{11,0,26},{11,0,213},{11,0, +637},{11,0,707},{12,0,202},{12,0,380},{13,0,226},{13,0,355},{14,0,222},{145,0,42 +},{135,10,981},{143,0,217},{137,11,114},{4,0,23},{4,0,141},{5,0,313},{5,0,1014}, +{6,0,50},{6,0,51},{7,0,142},{7,0,384},{7,0,559},{8,0,640},{9,0,460},{9,0,783},{ +11,0,741},{12,0,183},{141,0,488},{141,0,360},{7,0,1586},{7,11,1995},{8,11,299},{ +11,11,890},{140,11,674},{132,10,434},{7,0,652},{134,10,550},{7,0,766},{5,10,553} +,{138,10,824},{7,0,737},{8,0,298},{136,10,452},{4,11,238},{5,11,503},{6,11,179}, +{7,11,2003},{8,11,381},{8,11,473},{9,11,149},{10,11,183},{15,11,45},{143,11,86}, +{133,10,292},{5,0,222},{9,0,655},{138,0,534},{138,10,135},{4,11,121},{5,11,156}, +{5,11,349},{9,11,136},{10,11,605},{14,11,342},{147,11,107},{137,0,906},{6,0,1013 +},{134,0,1250},{6,0,1956},{6,0,2009},{8,0,991},{144,0,120},{135,11,1192},{138,0, +503},{5,0,154},{7,0,1491},{10,0,379},{138,0,485},{6,0,1867},{6,0,1914},{6,0,1925 +},{9,0,917},{9,0,925},{9,0,932},{9,0,951},{9,0,1007},{9,0,1013},{12,0,806},{12,0 +,810},{12,0,814},{12,0,816},{12,0,824},{12,0,832},{12,0,837},{12,0,863},{12,0, +868},{12,0,870},{12,0,889},{12,0,892},{12,0,900},{12,0,902},{12,0,908},{12,0,933 +},{12,0,942},{12,0,949},{12,0,954},{15,0,175},{15,0,203},{15,0,213},{15,0,218},{ +15,0,225},{15,0,231},{15,0,239},{15,0,248},{15,0,252},{18,0,190},{18,0,204},{18, +0,215},{18,0,216},{18,0,222},{18,0,225},{18,0,230},{18,0,239},{18,0,241},{21,0, +42},{21,0,43},{21,0,44},{21,0,45},{21,0,46},{21,0,53},{24,0,27},{152,0,31},{133, +0,716},{135,0,844},{4,0,91},{5,0,388},{5,0,845},{6,0,206},{6,0,252},{6,0,365},{7 +,0,136},{7,0,531},{136,0,621},{7,10,393},{10,10,603},{139,10,206},{6,11,80},{6, +11,1694},{7,11,173},{7,11,1974},{9,11,547},{10,11,730},{14,11,18},{150,11,39},{ +137,0,748},{4,11,923},{134,11,1711},{4,10,912},{137,10,232},{7,10,98},{7,10,1973 +},{136,10,716},{14,0,103},{133,10,733},{132,11,595},{12,0,158},{18,0,8},{19,0,62 +},{20,0,6},{22,0,4},{23,0,2},{23,0,9},{5,11,240},{6,11,459},{7,11,12},{7,11,114} +,{7,11,502},{7,11,1751},{7,11,1753},{7,11,1805},{8,11,658},{9,11,1},{11,11,959}, +{13,11,446},{142,11,211},{135,0,576},{5,0,771},{5,0,863},{5,0,898},{6,0,648},{6, +0,1632},{6,0,1644},{134,0,1780},{133,0,331},{7,11,633},{7,11,905},{7,11,909},{7, +11,1538},{9,11,767},{140,11,636},{140,0,632},{5,0,107},{7,0,201},{136,0,518},{6, +0,446},{7,0,1817},{134,11,490},{9,0,851},{141,0,510},{7,11,250},{8,11,506},{136, +11,507},{4,0,504},{137,10,72},{132,11,158},{4,11,140},{7,11,362},{8,11,209},{9, +11,10},{9,11,160},{9,11,503},{10,11,689},{11,11,350},{11,11,553},{11,11,725},{12 +,11,252},{12,11,583},{13,11,192},{13,11,352},{14,11,269},{14,11,356},{148,11,50} +,{6,11,597},{135,11,1318},{135,10,1454},{5,0,883},{5,0,975},{8,0,392},{148,0,7}, +{6,11,228},{7,11,1341},{9,11,408},{138,11,343},{11,11,348},{11,10,600},{12,11,99 +},{13,10,245},{18,11,1},{18,11,11},{147,11,4},{134,11,296},{5,0,922},{134,0,1707 +},{132,11,557},{4,11,548},{7,10,164},{7,10,1571},{9,10,107},{140,10,225},{7,11, +197},{8,11,142},{8,11,325},{9,11,150},{9,11,596},{10,11,350},{10,11,353},{11,11, +74},{11,11,315},{14,11,423},{143,11,141},{5,0,993},{7,0,515},{137,0,91},{4,0,131 +},{8,0,200},{5,10,484},{5,10,510},{6,10,434},{7,10,1000},{7,10,1098},{136,10,2}, +{152,0,10},{4,11,62},{5,11,83},{6,11,399},{6,11,579},{7,11,692},{7,11,846},{7,11 +,1015},{7,11,1799},{8,11,403},{9,11,394},{10,11,133},{12,11,4},{12,11,297},{12, +11,452},{16,11,81},{18,11,19},{18,11,25},{21,11,14},{22,11,12},{151,11,18},{140, +11,459},{132,11,177},{7,0,1433},{9,0,365},{137,11,365},{132,10,460},{5,0,103},{6 +,0,2004},{7,0,921},{8,0,580},{8,0,593},{8,0,630},{10,0,28},{5,11,411},{135,11, +653},{4,10,932},{133,10,891},{4,0,911},{5,0,867},{5,0,1013},{7,0,2034},{8,0,798} +,{136,0,813},{7,11,439},{10,11,727},{11,11,260},{139,11,684},{136,10,625},{5,11, +208},{7,11,753},{135,11,1528},{5,0,461},{7,0,1925},{12,0,39},{13,0,265},{13,0, +439},{134,10,76},{6,0,853},{8,10,92},{137,10,221},{5,0,135},{6,0,519},{7,0,1722} +,{10,0,271},{11,0,261},{145,0,54},{139,11,814},{14,0,338},{148,0,81},{4,0,300},{ +133,0,436},{5,0,419},{5,0,687},{7,0,864},{9,0,470},{135,11,864},{9,0,836},{133, +11,242},{134,0,1937},{4,10,763},{133,11,953},{132,10,622},{132,0,393},{133,10, +253},{8,0,357},{10,0,745},{14,0,426},{17,0,94},{19,0,57},{135,10,546},{5,11,615} +,{146,11,37},{9,10,73},{10,10,110},{14,10,185},{145,10,119},{11,0,703},{7,10,624 +},{7,10,916},{10,10,256},{139,10,87},{133,11,290},{5,10,212},{12,10,35},{141,10, +382},{132,11,380},{5,11,52},{7,11,277},{9,11,368},{139,11,791},{133,0,387},{10, +11,138},{139,11,476},{4,0,6},{5,0,708},{136,0,75},{7,0,1351},{9,0,581},{10,0,639 +},{11,0,453},{140,0,584},{132,0,303},{138,0,772},{135,10,1175},{4,0,749},{5,10, +816},{6,11,256},{7,11,307},{7,11,999},{7,11,1481},{7,11,1732},{7,11,1738},{8,11, +265},{9,11,414},{11,11,316},{12,11,52},{13,11,420},{147,11,100},{135,11,1296},{6 +,0,1065},{5,10,869},{5,10,968},{6,10,1626},{8,10,734},{136,10,784},{4,10,542},{6 +,10,1716},{6,10,1727},{7,10,1082},{7,10,1545},{8,10,56},{8,10,118},{8,10,412},{8 +,10,564},{9,10,888},{9,10,908},{10,10,50},{10,10,423},{11,10,685},{11,10,697},{ +11,10,933},{12,10,299},{13,10,126},{13,10,136},{13,10,170},{141,10,190},{134,0, +226},{4,0,106},{7,0,310},{11,0,717},{133,11,723},{5,0,890},{5,0,988},{4,10,232}, +{9,10,202},{10,10,474},{140,10,433},{6,0,626},{142,0,431},{10,0,706},{150,0,44}, +{13,0,51},{6,10,108},{7,10,1003},{7,10,1181},{8,10,111},{136,10,343},{132,0,698} +,{5,11,109},{6,11,1784},{7,11,1895},{12,11,296},{140,11,302},{134,0,828},{134,10 +,1712},{138,0,17},{7,0,1929},{4,10,133},{5,11,216},{7,10,711},{7,10,1298},{7,10, +1585},{7,11,1879},{9,11,141},{9,11,270},{9,11,679},{10,11,159},{10,11,553},{11, +11,197},{11,11,438},{12,11,538},{12,11,559},{13,11,193},{13,11,423},{14,11,144}, +{14,11,166},{14,11,167},{15,11,67},{147,11,84},{141,11,127},{7,11,1872},{137,11, +81},{6,10,99},{7,10,1808},{145,10,57},{134,11,391},{5,0,689},{6,0,84},{7,0,1250} +,{6,10,574},{7,10,428},{10,10,669},{11,10,485},{11,10,840},{12,10,300},{142,10, +250},{7,11,322},{136,11,249},{7,11,432},{135,11,1649},{135,10,1871},{137,10,252} +,{6,11,155},{140,11,234},{7,0,871},{19,0,27},{147,11,27},{140,0,498},{5,0,986},{ +6,0,130},{138,0,823},{6,0,1793},{7,0,1582},{8,0,458},{10,0,101},{10,0,318},{10,0 +,945},{12,0,734},{16,0,104},{18,0,177},{6,10,323},{135,10,1564},{5,11,632},{138, +11,526},{10,0,435},{7,10,461},{136,10,775},{6,11,144},{7,11,948},{7,11,1042},{7, +11,1857},{8,11,235},{8,11,461},{9,11,453},{9,11,530},{10,11,354},{17,11,77},{19, +11,99},{148,11,79},{138,0,966},{7,0,1644},{137,0,129},{135,0,997},{136,0,502},{5 +,11,196},{6,11,486},{7,11,212},{8,11,309},{136,11,346},{7,10,727},{146,10,73},{ +132,0,823},{132,11,686},{135,0,1927},{4,0,762},{7,0,1756},{137,0,98},{136,10,577 +},{24,0,8},{4,11,30},{5,11,43},{152,11,8},{7,0,1046},{139,0,160},{7,0,492},{4,10 +,413},{5,10,677},{7,11,492},{8,10,432},{140,10,280},{6,0,45},{7,0,433},{8,0,129} +,{9,0,21},{10,0,392},{11,0,79},{12,0,499},{13,0,199},{141,0,451},{7,0,558},{136, +0,353},{4,11,220},{7,11,1535},{9,11,93},{139,11,474},{7,10,646},{7,10,1730},{11, +10,446},{141,10,178},{133,0,785},{134,0,1145},{8,0,81},{9,0,189},{9,0,201},{11,0 +,478},{11,0,712},{141,0,338},{5,0,353},{151,0,26},{11,0,762},{132,10,395},{134,0 +,2024},{4,0,611},{133,0,606},{9,10,174},{10,10,164},{11,10,440},{11,10,841},{143 +,10,98},{134,10,426},{10,10,608},{139,10,1002},{138,10,250},{6,0,25},{7,0,855},{ +7,0,1258},{144,0,32},{7,11,1725},{138,11,393},{5,11,263},{134,11,414},{6,0,2011} +,{133,10,476},{4,0,4},{7,0,1118},{7,0,1320},{7,0,1706},{8,0,277},{9,0,622},{10,0 +,9},{11,0,724},{12,0,350},{12,0,397},{13,0,28},{13,0,159},{15,0,89},{18,0,5},{19 +,0,9},{20,0,34},{22,0,47},{6,11,178},{6,11,1750},{8,11,251},{9,11,690},{10,11, +155},{10,11,196},{10,11,373},{11,11,698},{13,11,155},{148,11,93},{5,11,97},{137, +11,393},{7,0,764},{11,0,461},{12,0,172},{5,10,76},{6,10,458},{6,10,497},{7,10, +868},{9,10,658},{10,10,594},{11,10,566},{12,10,338},{141,10,200},{134,0,1449},{ +138,11,40},{134,11,1639},{134,0,1445},{6,0,1168},{4,10,526},{7,10,1029},{135,10, +1054},{4,11,191},{7,11,934},{8,11,647},{145,11,97},{132,10,636},{6,0,233},{7,10, +660},{7,10,1124},{17,10,31},{19,10,22},{151,10,14},{6,10,1699},{136,11,110},{12, +11,246},{15,11,162},{19,11,64},{20,11,8},{20,11,95},{22,11,24},{152,11,17},{5,11 +,165},{9,11,346},{138,11,655},{5,11,319},{135,11,534},{134,0,255},{9,0,216},{8, +11,128},{139,11,179},{9,0,183},{139,0,286},{11,0,956},{151,0,3},{4,0,536},{7,0, +1141},{10,0,723},{139,0,371},{4,10,279},{7,10,301},{137,10,362},{7,0,285},{5,11, +57},{6,11,101},{6,11,1663},{7,11,132},{7,11,1048},{7,11,1154},{7,11,1415},{7,11, +1507},{12,11,493},{15,11,105},{151,11,15},{5,11,459},{7,11,1073},{7,10,1743},{8, +11,241},{136,11,334},{4,10,178},{133,10,399},{135,0,560},{132,0,690},{135,0,1246 +},{18,0,157},{147,0,63},{10,0,599},{11,0,33},{12,0,571},{149,0,1},{6,11,324},{6, +11,520},{7,11,338},{7,11,1616},{7,11,1729},{8,11,228},{9,11,69},{139,11,750},{7, +0,1862},{12,0,491},{12,0,520},{13,0,383},{142,0,244},{135,11,734},{134,10,1692}, +{10,0,448},{11,0,630},{17,0,117},{6,10,202},{7,11,705},{12,10,360},{17,10,118},{ +18,10,27},{148,10,67},{4,11,73},{6,11,612},{7,11,927},{7,11,1822},{8,11,217},{9, +11,472},{9,11,765},{9,11,766},{10,11,408},{11,11,51},{11,11,793},{12,11,266},{15 +,11,158},{20,11,89},{150,11,32},{4,0,190},{133,0,554},{133,0,1001},{5,11,389},{8 +,11,636},{137,11,229},{5,0,446},{7,10,872},{10,10,516},{139,10,167},{137,10,313} +,{132,10,224},{134,0,1313},{5,10,546},{7,10,35},{8,10,11},{8,10,12},{9,10,315},{ +9,10,533},{10,10,802},{11,10,166},{12,10,525},{142,10,243},{6,0,636},{137,0,837} +,{5,10,241},{8,10,242},{9,10,451},{10,10,667},{11,10,598},{140,10,429},{22,10,46 +},{150,11,46},{136,11,472},{11,0,278},{142,0,73},{141,11,185},{132,0,868},{134,0 +,972},{4,10,366},{137,10,516},{138,0,1010},{5,11,189},{6,10,1736},{7,11,442},{7, +11,443},{8,11,281},{12,11,174},{13,11,83},{141,11,261},{139,11,384},{6,11,2},{7, +11,191},{7,11,446},{7,11,758},{7,11,1262},{7,11,1737},{8,11,22},{8,11,270},{8,11 +,612},{9,11,4},{9,11,167},{9,11,312},{9,11,436},{10,11,156},{10,11,216},{10,11, +311},{10,11,623},{11,11,72},{11,11,330},{11,11,455},{12,11,101},{12,11,321},{12, +11,504},{12,11,530},{12,11,543},{13,11,17},{13,11,156},{13,11,334},{14,11,48},{ +15,11,70},{17,11,60},{148,11,64},{6,10,331},{136,10,623},{135,0,1231},{132,0,304 +},{6,11,60},{7,11,670},{7,11,1327},{8,11,411},{8,11,435},{9,11,653},{9,11,740},{ +10,11,385},{11,11,222},{11,11,324},{11,11,829},{140,11,611},{7,0,506},{6,11,166} +,{7,11,374},{135,11,1174},{14,11,43},{146,11,21},{135,11,1694},{135,10,1888},{5, +11,206},{134,11,398},{135,11,50},{150,0,26},{6,0,53},{6,0,199},{7,0,1408},{8,0, +32},{8,0,93},{10,0,397},{10,0,629},{11,0,593},{11,0,763},{13,0,326},{145,0,35},{ +134,0,105},{132,10,394},{4,0,843},{138,0,794},{11,0,704},{141,0,396},{5,0,114},{ +5,0,255},{141,0,285},{6,0,619},{7,0,898},{7,0,1092},{8,0,485},{18,0,28},{19,0, +116},{135,10,1931},{9,0,145},{7,10,574},{135,10,1719},{7,0,2035},{8,0,19},{9,0, +89},{138,0,831},{132,10,658},{6,11,517},{7,11,1159},{10,11,621},{139,11,192},{7, +0,1933},{7,11,1933},{9,10,781},{10,10,144},{11,10,385},{13,10,161},{13,10,228},{ +13,10,268},{148,10,107},{136,10,374},{10,11,223},{139,11,645},{135,0,1728},{7,11 +,64},{7,11,289},{136,11,245},{4,10,344},{6,10,498},{139,10,323},{136,0,746},{135 +,10,1063},{137,10,155},{4,0,987},{6,0,1964},{6,0,1974},{6,0,1990},{136,0,995},{ +133,11,609},{133,10,906},{134,0,1550},{134,0,874},{5,11,129},{6,11,61},{135,11, +947},{4,0,1018},{6,0,1938},{6,0,2021},{134,0,2039},{132,0,814},{11,0,126},{139,0 +,287},{134,0,1264},{5,0,955},{136,0,814},{141,11,506},{132,11,314},{6,0,981},{ +139,11,1000},{5,0,56},{8,0,892},{8,0,915},{140,0,776},{148,0,100},{10,0,4},{10,0 +,13},{11,0,638},{148,0,57},{148,11,74},{5,0,738},{132,10,616},{133,11,637},{136, +10,692},{133,0,758},{132,10,305},{137,11,590},{5,11,280},{135,11,1226},{134,11, +494},{135,0,1112},{133,11,281},{13,0,44},{14,0,214},{5,10,214},{7,10,603},{8,10, +611},{9,10,686},{10,10,88},{11,10,459},{11,10,496},{12,10,463},{140,10,590},{139 +,0,328},{135,11,1064},{137,0,133},{7,0,168},{13,0,196},{141,0,237},{134,10,1703} +,{134,0,1152},{135,0,1245},{5,0,110},{6,0,169},{6,0,1702},{7,0,400},{8,0,538},{9 +,0,184},{9,0,524},{140,0,218},{6,0,1816},{10,0,871},{12,0,769},{140,0,785},{132, +11,630},{7,11,33},{7,11,120},{8,11,489},{9,11,319},{10,11,820},{11,11,1004},{12, +11,379},{13,11,117},{13,11,412},{14,11,25},{15,11,52},{15,11,161},{16,11,47},{ +149,11,2},{6,0,133},{8,0,413},{9,0,353},{139,0,993},{145,10,19},{4,11,937},{133, +11,801},{134,0,978},{6,0,93},{6,0,1508},{7,0,1422},{7,0,1851},{8,0,673},{9,0,529 +},{140,0,43},{6,0,317},{10,0,512},{4,10,737},{11,10,294},{12,10,60},{12,10,437}, +{13,10,64},{13,10,380},{142,10,430},{9,0,371},{7,11,1591},{144,11,43},{6,10,1758 +},{8,10,520},{9,10,345},{9,10,403},{142,10,350},{5,0,526},{10,10,242},{138,10, +579},{9,0,25},{10,0,467},{138,0,559},{5,10,139},{7,10,1168},{138,10,539},{4,0, +335},{135,0,942},{140,0,754},{132,11,365},{11,0,182},{142,0,195},{142,11,29},{5, +11,7},{139,11,774},{4,11,746},{135,11,1090},{8,0,39},{10,0,773},{11,0,84},{12,0, +205},{142,0,1},{5,0,601},{5,0,870},{5,11,360},{136,11,237},{132,0,181},{136,0, +370},{134,0,1652},{8,0,358},{4,10,107},{7,10,613},{8,10,439},{8,10,504},{9,10, +501},{10,10,383},{139,10,477},{132,10,229},{137,11,785},{4,0,97},{5,0,147},{6,0, +286},{7,0,1362},{141,0,176},{6,0,537},{7,0,788},{7,0,1816},{132,10,903},{140,10, +71},{6,0,743},{134,0,1223},{6,0,375},{7,0,169},{7,0,254},{8,0,780},{135,11,1493} +,{7,0,1714},{4,10,47},{6,10,373},{7,10,452},{7,10,543},{7,10,1856},{9,10,6},{11, +10,257},{139,10,391},{6,0,896},{136,0,1003},{135,0,1447},{137,11,341},{5,10,980} +,{134,10,1754},{145,11,22},{4,11,277},{5,11,608},{6,11,493},{7,11,457},{140,11, +384},{7,10,536},{7,10,1331},{136,10,143},{140,0,744},{7,11,27},{135,11,316},{18, +0,126},{5,10,19},{134,10,533},{4,0,788},{11,0,41},{5,11,552},{5,11,586},{5,11, +676},{6,11,448},{8,11,244},{11,11,1},{11,11,41},{13,11,3},{16,11,54},{17,11,4},{ +146,11,13},{4,0,985},{6,0,1801},{4,11,401},{137,11,264},{5,10,395},{5,10,951},{ +134,10,1776},{5,0,629},{135,0,1549},{11,10,663},{12,10,210},{13,10,166},{13,10, +310},{14,10,373},{147,10,43},{9,11,543},{10,11,524},{11,11,30},{12,11,524},{14, +11,315},{16,11,18},{20,11,26},{148,11,65},{4,11,205},{5,11,623},{7,11,104},{136, +11,519},{5,0,293},{134,0,601},{7,11,579},{9,11,41},{9,11,244},{9,11,669},{10,11, +5},{11,11,861},{11,11,951},{139,11,980},{132,11,717},{132,10,695},{7,10,497},{9, +10,387},{147,10,81},{132,0,420},{142,0,37},{6,0,1134},{6,0,1900},{12,0,830},{12, +0,878},{12,0,894},{15,0,221},{143,0,245},{132,11,489},{7,0,1570},{140,0,542},{8, +0,933},{136,0,957},{6,0,1371},{7,0,31},{8,0,373},{5,10,284},{6,10,49},{6,10,350} +,{7,10,377},{7,10,1693},{8,10,678},{9,10,161},{9,10,585},{9,10,671},{9,10,839},{ +11,10,912},{141,10,427},{135,11,892},{4,0,325},{138,0,125},{139,11,47},{132,10, +597},{138,0,323},{6,0,1547},{7,11,1605},{9,11,473},{11,11,962},{146,11,139},{139 +,10,908},{7,11,819},{9,11,26},{9,11,392},{10,11,152},{10,11,226},{11,11,19},{12, +11,276},{12,11,426},{12,11,589},{13,11,460},{15,11,97},{19,11,48},{148,11,104},{ +135,11,51},{4,0,718},{135,0,1216},{6,0,1896},{6,0,1905},{6,0,1912},{9,0,947},{9, +0,974},{12,0,809},{12,0,850},{12,0,858},{12,0,874},{12,0,887},{12,0,904},{12,0, +929},{12,0,948},{12,0,952},{15,0,198},{15,0,206},{15,0,220},{15,0,227},{15,0,247 +},{18,0,188},{21,0,48},{21,0,50},{24,0,25},{24,0,29},{7,11,761},{7,11,1051},{137 +,11,545},{5,0,124},{5,0,144},{6,0,548},{7,0,15},{7,0,153},{137,0,629},{135,11, +606},{135,10,2014},{7,10,2007},{9,11,46},{9,10,101},{9,10,450},{10,10,66},{10,10 +,842},{11,10,536},{140,10,587},{6,0,75},{7,0,1531},{8,0,416},{9,0,240},{9,0,275} +,{10,0,100},{11,0,658},{11,0,979},{12,0,86},{14,0,207},{15,0,20},{143,0,25},{5,0 +,141},{5,0,915},{6,0,1783},{7,0,211},{7,0,698},{7,0,1353},{9,0,83},{9,0,281},{10 +,0,376},{10,0,431},{11,0,543},{12,0,664},{13,0,280},{13,0,428},{14,0,61},{14,0, +128},{17,0,52},{145,0,81},{132,11,674},{135,0,533},{149,0,6},{132,11,770},{133,0 +,538},{5,11,79},{7,11,1027},{7,11,1477},{139,11,52},{139,10,62},{4,0,338},{133,0 +,400},{5,11,789},{134,11,195},{4,11,251},{4,11,688},{7,11,513},{7,11,1284},{9,11 +,87},{138,11,365},{134,10,1766},{6,0,0},{7,0,84},{11,0,895},{145,0,11},{139,0, +892},{4,0,221},{5,0,659},{7,0,697},{7,0,1211},{138,0,284},{133,0,989},{133,11, +889},{4,11,160},{5,11,330},{7,11,1434},{136,11,174},{6,10,1665},{7,10,256},{7,10 +,1388},{10,10,499},{139,10,670},{7,0,848},{4,10,22},{5,10,10},{136,10,97},{138,0 +,507},{133,10,481},{4,0,188},{135,0,805},{5,0,884},{6,0,732},{139,0,991},{135,11 +,968},{11,11,636},{15,11,145},{17,11,34},{19,11,50},{151,11,20},{7,0,959},{16,0, +60},{6,10,134},{7,10,437},{9,10,37},{14,10,285},{142,10,371},{7,10,486},{8,10, +155},{11,10,93},{140,10,164},{134,0,1653},{7,0,337},{133,10,591},{6,0,1989},{8,0 +,922},{8,0,978},{133,11,374},{132,0,638},{138,0,500},{133,11,731},{5,10,380},{5, +10,650},{136,10,310},{138,11,381},{4,10,364},{7,10,1156},{7,10,1187},{137,10,409 +},{137,11,224},{140,0,166},{134,10,482},{4,11,626},{5,11,642},{6,11,425},{10,11, +202},{139,11,141},{4,10,781},{6,10,487},{7,10,926},{8,10,263},{139,10,500},{135, +0,418},{4,10,94},{135,10,1265},{136,0,760},{132,10,417},{136,11,835},{5,10,348}, +{134,10,522},{6,0,1277},{134,0,1538},{139,11,541},{135,11,1597},{5,11,384},{8,11 +,455},{140,11,48},{136,0,770},{5,11,264},{134,11,184},{4,0,89},{5,0,489},{6,0, +315},{7,0,553},{7,0,1745},{138,0,243},{4,10,408},{4,10,741},{135,10,500},{134,0, +1396},{133,0,560},{6,0,1658},{9,0,3},{10,0,154},{11,0,641},{13,0,85},{13,0,201}, +{141,0,346},{135,11,1595},{5,11,633},{6,11,28},{7,11,219},{135,11,1323},{9,11, +769},{140,11,185},{135,11,785},{7,11,359},{8,11,243},{140,11,175},{138,0,586},{7 +,0,1271},{134,10,73},{132,11,105},{4,0,166},{5,0,505},{134,0,1670},{133,10,576}, +{4,11,324},{138,11,104},{142,10,231},{6,0,637},{7,10,1264},{7,10,1678},{11,10, +945},{12,10,341},{12,10,471},{12,10,569},{23,11,21},{151,11,23},{8,11,559},{141, +11,109},{134,0,1947},{7,0,445},{8,0,307},{8,0,704},{10,0,41},{10,0,439},{11,0, +237},{11,0,622},{140,0,201},{135,11,963},{135,0,1977},{4,0,189},{5,0,713},{136,0 +,57},{138,0,371},{135,10,538},{132,0,552},{6,0,883},{133,10,413},{6,0,923},{132, +11,758},{138,11,215},{136,10,495},{7,10,54},{8,10,312},{10,10,191},{10,10,614},{ +140,10,567},{7,11,351},{139,11,128},{7,0,875},{6,10,468},{7,10,1478},{8,10,530}, +{142,10,290},{135,0,1788},{17,0,49},{133,11,918},{12,11,398},{20,11,39},{21,11, +11},{150,11,41},{10,0,661},{6,10,484},{135,10,822},{135,0,1945},{134,0,794},{137 +,10,900},{135,10,1335},{6,10,1724},{135,10,2022},{132,11,340},{134,0,1135},{4,0, +784},{133,0,745},{5,0,84},{134,0,163},{133,0,410},{4,0,976},{5,11,985},{7,11,509 +},{7,11,529},{145,11,96},{132,10,474},{134,0,703},{135,11,1919},{5,0,322},{8,0, +186},{9,0,262},{10,0,187},{142,0,208},{135,10,1504},{133,0,227},{9,0,560},{13,0, +208},{133,10,305},{132,11,247},{7,0,1395},{8,0,486},{9,0,236},{9,0,878},{10,0, +218},{11,0,95},{19,0,17},{147,0,31},{7,0,2043},{8,0,672},{141,0,448},{4,11,184}, +{5,11,390},{6,11,337},{7,11,23},{7,11,494},{7,11,618},{7,11,1456},{8,11,27},{8, +11,599},{10,11,153},{139,11,710},{135,0,466},{135,10,1236},{6,0,167},{7,0,186},{ +7,0,656},{10,0,643},{4,10,480},{6,10,302},{6,10,1642},{7,10,837},{7,10,1547},{7, +10,1657},{8,10,429},{9,10,228},{13,10,289},{13,10,343},{147,10,101},{134,0,1428} +,{134,0,1440},{5,0,412},{7,10,278},{10,10,739},{11,10,708},{141,10,348},{134,0, +1118},{136,0,562},{148,11,46},{9,0,316},{139,0,256},{134,0,1771},{135,0,1190},{ +137,0,132},{10,11,227},{11,11,497},{11,11,709},{140,11,415},{143,0,66},{6,11,360 +},{7,11,1664},{136,11,478},{144,10,28},{4,0,317},{135,0,1279},{5,0,63},{133,0, +509},{136,11,699},{145,10,36},{134,0,1475},{11,11,343},{142,11,127},{132,11,739} +,{132,0,288},{135,11,1757},{8,0,89},{8,0,620},{9,0,608},{11,0,628},{12,0,322},{ +143,0,124},{134,0,1225},{7,0,1189},{4,11,67},{5,11,422},{6,10,363},{7,11,1037},{ +7,11,1289},{7,11,1555},{7,10,1955},{8,10,725},{9,11,741},{145,11,108},{134,0, +1468},{6,0,689},{134,0,1451},{138,0,120},{151,0,1},{137,10,805},{142,0,329},{5, +10,813},{135,10,2046},{135,0,226},{138,11,96},{7,0,1855},{5,10,712},{11,10,17},{ +13,10,321},{144,10,67},{9,0,461},{6,10,320},{7,10,781},{7,10,1921},{9,10,55},{10 +,10,186},{10,10,273},{10,10,664},{10,10,801},{11,10,996},{11,10,997},{13,10,157} +,{142,10,170},{8,11,203},{8,10,271},{11,11,823},{11,11,846},{12,11,482},{13,11, +133},{13,11,277},{13,11,302},{13,11,464},{14,11,205},{142,11,221},{135,0,1346},{ +4,11,449},{133,11,718},{134,0,85},{14,0,299},{7,10,103},{7,10,863},{11,10,184},{ +145,10,62},{4,11,355},{6,11,311},{9,11,256},{138,11,404},{137,10,659},{138,11, +758},{133,11,827},{5,11,64},{140,11,581},{134,0,1171},{4,11,442},{7,11,1047},{7, +11,1352},{135,11,1643},{132,0,980},{5,11,977},{6,11,288},{7,11,528},{135,11,1065 +},{5,0,279},{6,0,235},{7,0,468},{8,0,446},{9,0,637},{10,0,717},{11,0,738},{140,0 +,514},{132,0,293},{11,10,337},{142,10,303},{136,11,285},{5,0,17},{6,0,371},{9,0, +528},{12,0,364},{132,11,254},{5,10,77},{7,10,1455},{10,10,843},{147,10,73},{150, +0,5},{132,10,458},{6,11,12},{7,11,1219},{145,11,73},{135,10,1420},{6,10,109},{ +138,10,382},{135,11,125},{6,10,330},{7,10,1084},{139,10,142},{6,11,369},{6,11, +502},{7,11,1036},{8,11,348},{9,11,452},{10,11,26},{11,11,224},{11,11,387},{11,11 +,772},{12,11,95},{12,11,629},{13,11,195},{13,11,207},{13,11,241},{14,11,260},{14 +,11,270},{143,11,140},{132,11,269},{5,11,480},{7,11,532},{7,11,1197},{7,11,1358} +,{8,11,291},{11,11,349},{142,11,396},{150,0,48},{10,0,601},{13,0,353},{141,0,376 +},{5,0,779},{5,0,807},{6,0,1655},{134,0,1676},{142,11,223},{4,0,196},{5,0,558},{ +133,0,949},{148,11,15},{135,11,1764},{134,0,1322},{132,0,752},{139,0,737},{135, +11,657},{136,11,533},{135,0,412},{4,0,227},{5,0,159},{5,0,409},{7,0,80},{8,0,556 +},{10,0,479},{12,0,418},{14,0,50},{14,0,123},{14,0,192},{14,0,249},{14,0,295},{ +143,0,27},{7,0,1470},{8,0,66},{8,0,137},{8,0,761},{9,0,638},{11,0,80},{11,0,212} +,{11,0,368},{11,0,418},{12,0,8},{13,0,15},{16,0,61},{17,0,59},{19,0,28},{148,0, +84},{135,10,1985},{4,11,211},{4,11,332},{5,11,335},{6,11,238},{7,11,269},{7,11, +811},{7,11,1797},{8,10,122},{8,11,836},{9,11,507},{141,11,242},{6,0,683},{134,0, +1252},{4,0,873},{132,10,234},{134,0,835},{6,0,38},{7,0,1220},{8,0,185},{8,0,256} +,{9,0,22},{9,0,331},{10,0,738},{11,0,205},{11,0,540},{11,0,746},{13,0,465},{14,0 +,88},{142,0,194},{138,0,986},{5,11,1009},{12,11,582},{146,11,131},{4,0,159},{6,0 +,115},{7,0,252},{7,0,257},{7,0,1928},{8,0,69},{9,0,384},{10,0,91},{10,0,615},{12 +,0,375},{14,0,235},{18,0,117},{147,0,123},{133,0,911},{136,0,278},{5,10,430},{5, +10,932},{6,10,131},{7,10,417},{9,10,522},{11,10,314},{141,10,390},{14,10,149},{ +14,10,399},{143,10,57},{4,0,151},{7,0,1567},{136,0,749},{5,11,228},{6,11,203},{7 +,11,156},{8,11,347},{137,11,265},{132,10,507},{10,0,989},{140,0,956},{133,0,990} +,{5,0,194},{6,0,927},{7,0,1662},{9,0,90},{140,0,564},{4,10,343},{133,10,511},{ +133,0,425},{7,10,455},{138,10,591},{4,0,774},{7,11,476},{7,11,1592},{138,11,87}, +{5,0,971},{135,10,1381},{5,11,318},{147,11,121},{5,11,291},{7,11,765},{9,11,389} +,{140,11,548},{134,10,575},{4,0,827},{12,0,646},{12,0,705},{12,0,712},{140,0,714 +},{139,0,752},{137,0,662},{5,0,72},{6,0,264},{7,0,21},{7,0,46},{7,0,2013},{8,0, +215},{8,0,513},{10,0,266},{139,0,22},{139,11,522},{6,0,239},{7,0,118},{10,0,95}, +{11,0,603},{13,0,443},{14,0,160},{143,0,4},{6,0,431},{134,0,669},{7,10,1127},{7, +10,1572},{10,10,297},{10,10,422},{11,10,764},{11,10,810},{12,10,264},{13,10,102} +,{13,10,300},{13,10,484},{14,10,147},{14,10,229},{17,10,71},{18,10,118},{147,10, +120},{5,0,874},{6,0,1677},{15,0,0},{10,11,525},{139,11,82},{6,0,65},{7,0,939},{7 +,0,1172},{7,0,1671},{9,0,540},{10,0,696},{11,0,265},{11,0,732},{11,0,928},{11,0, +937},{141,0,438},{134,0,1350},{136,11,547},{132,11,422},{5,11,355},{145,11,0},{ +137,11,905},{5,0,682},{135,0,1887},{132,0,809},{4,0,696},{133,11,865},{6,0,1074} +,{6,0,1472},{14,10,35},{142,10,191},{5,11,914},{134,11,1625},{133,11,234},{135, +11,1383},{137,11,780},{132,10,125},{4,0,726},{133,0,630},{8,0,802},{136,0,838},{ +132,10,721},{6,0,1337},{7,0,776},{19,0,56},{136,10,145},{132,0,970},{7,10,792},{ +8,10,147},{10,10,821},{139,10,1021},{139,10,970},{8,0,940},{137,0,797},{135,11, +1312},{9,0,248},{10,0,400},{7,11,816},{7,11,1241},{7,10,1999},{9,11,283},{9,11, +520},{10,11,213},{10,11,307},{10,11,463},{10,11,671},{10,11,746},{11,11,401},{11 +,11,794},{12,11,517},{18,11,107},{147,11,115},{6,0,1951},{134,0,2040},{135,11, +339},{13,0,41},{15,0,93},{5,10,168},{5,10,930},{8,10,74},{9,10,623},{12,10,500}, +{140,10,579},{6,0,118},{7,0,215},{7,0,1521},{140,0,11},{6,10,220},{7,10,1101},{ +141,10,105},{6,11,421},{7,11,61},{7,11,1540},{10,11,11},{138,11,501},{7,0,615},{ +138,0,251},{140,11,631},{135,0,1044},{6,10,19},{7,10,1413},{139,10,428},{133,0, +225},{7,10,96},{8,10,401},{8,10,703},{137,10,896},{145,10,116},{6,11,102},{7,11, +72},{15,11,142},{147,11,67},{7,10,1961},{7,10,1965},{8,10,702},{136,10,750},{7, +10,2030},{8,10,150},{8,10,737},{12,10,366},{151,11,30},{4,0,370},{5,0,756},{7,0, +1326},{135,11,823},{8,10,800},{9,10,148},{9,10,872},{9,10,890},{11,10,309},{11, +10,1001},{13,10,267},{141,10,323},{6,0,1662},{7,0,48},{8,0,771},{10,0,116},{13,0 +,104},{14,0,105},{14,0,184},{15,0,168},{19,0,92},{148,0,68},{10,0,209},{135,11, +1870},{7,11,68},{8,11,48},{8,11,88},{8,11,582},{8,11,681},{9,11,373},{9,11,864}, +{11,11,157},{11,11,336},{11,11,843},{148,11,27},{134,0,930},{4,11,88},{5,11,137} +,{5,11,174},{5,11,777},{6,11,1664},{6,11,1725},{7,11,77},{7,11,426},{7,11,1317}, +{7,11,1355},{8,11,126},{8,11,563},{9,11,523},{9,11,750},{10,11,310},{10,11,836}, +{11,11,42},{11,11,318},{11,11,731},{12,11,68},{12,11,92},{12,11,507},{12,11,692} +,{13,11,81},{13,11,238},{13,11,374},{18,11,138},{19,11,78},{19,11,111},{20,11,55 +},{20,11,77},{148,11,92},{4,11,938},{135,11,1831},{5,10,547},{7,10,424},{8,11, +617},{138,11,351},{6,0,1286},{6,11,1668},{7,11,1499},{8,11,117},{9,11,314},{138, +11,174},{6,0,759},{6,0,894},{7,11,707},{139,11,563},{4,0,120},{135,0,1894},{9,0, +385},{149,0,17},{138,0,429},{133,11,403},{5,0,820},{135,0,931},{10,0,199},{133, +10,133},{6,0,151},{6,0,1675},{7,0,383},{151,0,10},{6,0,761},{136,10,187},{8,0, +365},{10,10,0},{10,10,818},{139,10,988},{4,11,44},{5,11,311},{6,11,156},{7,11, +639},{7,11,762},{7,11,1827},{9,11,8},{9,11,462},{148,11,83},{4,11,346},{7,11,115 +},{9,11,180},{9,11,456},{138,11,363},{136,10,685},{7,0,1086},{145,0,46},{6,0, +1624},{11,0,11},{12,0,422},{13,0,444},{142,0,360},{6,0,1020},{6,0,1260},{134,0, +1589},{4,0,43},{5,0,344},{5,0,357},{14,0,472},{150,0,58},{6,0,1864},{6,0,1866},{ +6,0,1868},{6,0,1869},{6,0,1874},{6,0,1877},{6,0,1903},{6,0,1911},{9,0,920},{9,0, +921},{9,0,924},{9,0,946},{9,0,959},{9,0,963},{9,0,970},{9,0,997},{9,0,1008},{9,0 +,1017},{12,0,795},{12,0,797},{12,0,798},{12,0,800},{12,0,803},{12,0,811},{12,0, +820},{12,0,821},{12,0,839},{12,0,841},{12,0,848},{12,0,911},{12,0,921},{12,0,922 +},{12,0,925},{12,0,937},{12,0,944},{12,0,945},{12,0,953},{15,0,184},{15,0,191},{ +15,0,199},{15,0,237},{15,0,240},{15,0,243},{15,0,246},{18,0,203},{21,0,40},{21,0 +,52},{21,0,57},{24,0,23},{24,0,28},{152,0,30},{134,0,725},{145,11,58},{133,0,888 +},{137,10,874},{4,0,711},{8,10,774},{10,10,670},{140,10,51},{144,11,40},{6,11, +185},{7,11,1899},{139,11,673},{137,10,701},{137,0,440},{4,11,327},{5,11,478},{7, +11,1332},{8,11,753},{140,11,227},{4,10,127},{5,10,350},{6,10,356},{8,10,426},{9, +10,572},{10,10,247},{139,10,312},{5,11,1020},{133,11,1022},{4,11,103},{133,11, +401},{6,0,1913},{6,0,1926},{6,0,1959},{9,0,914},{9,0,939},{9,0,952},{9,0,979},{9 +,0,990},{9,0,998},{9,0,1003},{9,0,1023},{12,0,827},{12,0,834},{12,0,845},{12,0, +912},{12,0,935},{12,0,951},{15,0,172},{15,0,174},{18,0,198},{149,0,63},{5,0,958} +,{5,0,987},{4,11,499},{135,11,1421},{7,0,885},{6,10,59},{6,10,1762},{9,10,603},{ +141,10,397},{10,11,62},{141,11,164},{4,0,847},{135,0,326},{11,0,276},{142,0,293} +,{4,0,65},{5,0,479},{5,0,1004},{7,0,1913},{8,0,317},{9,0,302},{10,0,612},{13,0, +22},{132,11,96},{4,0,261},{135,0,510},{135,0,1514},{6,10,111},{7,10,4},{8,10,163 +},{8,10,776},{138,10,566},{4,0,291},{9,0,515},{12,0,152},{12,0,443},{13,0,392},{ +142,0,357},{7,11,399},{135,11,1492},{4,0,589},{139,0,282},{6,11,563},{135,10, +1994},{5,10,297},{135,10,1038},{4,0,130},{7,0,843},{135,0,1562},{5,0,42},{5,0, +879},{7,0,245},{7,0,324},{7,0,1532},{11,0,463},{11,0,472},{13,0,363},{144,0,52}, +{4,0,134},{133,0,372},{133,0,680},{136,10,363},{6,0,1997},{8,0,935},{136,0,977}, +{4,0,810},{135,0,1634},{135,10,1675},{7,0,1390},{4,11,910},{133,11,832},{7,10, +808},{8,11,266},{139,11,578},{132,0,644},{4,0,982},{138,0,867},{132,10,280},{135 +,0,540},{140,10,54},{135,0,123},{134,0,1978},{4,10,421},{133,10,548},{6,0,623},{ +136,0,789},{4,0,908},{5,0,359},{5,0,508},{6,0,1723},{7,0,343},{7,0,1996},{135,0, +2026},{134,0,1220},{4,0,341},{135,0,480},{6,10,254},{9,10,109},{138,10,103},{134 +,0,888},{8,11,528},{137,11,348},{7,0,1995},{8,0,299},{11,0,890},{12,0,674},{4,11 +,20},{133,11,616},{135,11,1094},{134,10,1630},{4,0,238},{5,0,503},{6,0,179},{7,0 +,2003},{8,0,381},{8,0,473},{9,0,149},{10,0,788},{15,0,45},{15,0,86},{20,0,110},{ +150,0,57},{133,10,671},{4,11,26},{5,11,429},{6,11,245},{7,11,704},{7,11,1379},{ +135,11,1474},{4,0,121},{5,0,156},{5,0,349},{9,0,431},{10,0,605},{142,0,342},{7, +11,943},{139,11,614},{132,10,889},{132,11,621},{7,10,1382},{7,11,1382},{135,10, +1910},{132,10,627},{133,10,775},{133,11,542},{133,11,868},{136,11,433},{6,0,1373 +},{7,0,1011},{11,10,362},{11,10,948},{140,10,388},{6,0,80},{7,0,173},{9,0,547},{ +10,0,730},{14,0,18},{22,0,39},{135,11,1495},{6,0,1694},{135,0,1974},{140,0,196}, +{4,0,923},{6,0,507},{6,0,1711},{7,10,451},{8,10,389},{12,10,490},{13,10,16},{13, +10,215},{13,10,351},{18,10,132},{147,10,125},{6,0,646},{134,0,1047},{135,10,841} +,{136,10,566},{6,0,1611},{135,0,1214},{139,0,926},{132,11,525},{132,0,595},{5,0, +240},{6,0,459},{7,0,12},{7,0,114},{7,0,949},{7,0,1753},{7,0,1805},{8,0,658},{9,0 +,1},{11,0,959},{141,0,446},{5,10,912},{134,10,1695},{132,0,446},{7,11,62},{12,11 +,45},{147,11,112},{5,10,236},{6,10,572},{8,10,492},{11,10,618},{144,10,56},{5,10 +,190},{136,10,318},{135,10,1376},{4,11,223},{6,11,359},{11,11,3},{13,11,108},{14 +,11,89},{144,11,22},{132,11,647},{134,0,490},{134,0,491},{134,0,1584},{135,11, +685},{138,11,220},{7,0,250},{136,0,507},{132,0,158},{4,0,140},{7,0,362},{8,0,209 +},{9,0,10},{9,0,160},{9,0,503},{9,0,614},{10,0,689},{11,0,327},{11,0,553},{11,0, +725},{11,0,767},{12,0,252},{12,0,583},{13,0,192},{14,0,269},{14,0,356},{148,0,50 +},{19,0,1},{19,0,26},{150,0,9},{132,11,109},{6,0,228},{7,0,1341},{9,0,408},{138, +0,343},{4,0,373},{5,0,283},{6,0,480},{7,0,609},{10,0,860},{138,0,878},{6,0,779}, +{134,0,1209},{4,0,557},{7,11,263},{7,11,628},{136,11,349},{132,0,548},{7,0,197}, +{8,0,142},{8,0,325},{9,0,150},{9,0,596},{10,0,350},{10,0,353},{11,0,74},{11,0, +315},{12,0,662},{12,0,681},{14,0,423},{143,0,141},{4,11,40},{10,11,67},{11,11, +117},{11,11,768},{139,11,935},{7,11,992},{8,11,301},{9,11,722},{12,11,63},{13,11 +,29},{14,11,161},{143,11,18},{6,0,1490},{138,11,532},{5,0,580},{7,0,378},{7,0, +674},{7,0,1424},{15,0,83},{16,0,11},{15,11,83},{144,11,11},{6,0,1057},{6,0,1335} +,{10,0,316},{7,10,85},{7,10,247},{8,10,585},{138,10,163},{4,0,169},{5,0,83},{6,0 +,399},{6,0,579},{6,0,1513},{7,0,692},{7,0,846},{7,0,1015},{7,0,1799},{8,0,403},{ +9,0,394},{10,0,133},{12,0,4},{12,0,297},{12,0,452},{16,0,81},{18,0,25},{21,0,14} +,{22,0,12},{151,0,18},{134,0,1106},{7,0,1546},{11,0,299},{142,0,407},{134,0,1192 +},{132,0,177},{5,0,411},{135,0,653},{7,0,439},{10,0,727},{11,0,260},{139,0,684}, +{138,10,145},{147,10,83},{5,0,208},{7,0,753},{135,0,1528},{137,11,617},{135,10, +1922},{135,11,825},{11,0,422},{13,0,389},{4,10,124},{10,10,457},{11,10,121},{11, +10,169},{11,10,870},{12,10,214},{14,10,187},{143,10,77},{11,0,615},{15,0,58},{11 +,11,615},{143,11,58},{9,0,618},{138,0,482},{6,0,1952},{6,0,1970},{142,0,505},{7, +10,1193},{135,11,1838},{133,0,242},{135,10,1333},{6,10,107},{7,10,638},{7,10, +1632},{137,10,396},{133,0,953},{5,10,370},{134,10,1756},{5,11,28},{6,11,204},{10 +,11,320},{10,11,583},{13,11,502},{14,11,72},{14,11,274},{14,11,312},{14,11,344}, +{15,11,159},{16,11,62},{16,11,69},{17,11,30},{18,11,42},{18,11,53},{18,11,84},{ +18,11,140},{19,11,68},{19,11,85},{20,11,5},{20,11,45},{20,11,101},{22,11,7},{150 +,11,20},{4,11,558},{6,11,390},{7,11,162},{7,11,689},{9,11,360},{138,11,653},{11, +0,802},{141,0,67},{133,10,204},{133,0,290},{5,10,970},{134,10,1706},{132,0,380}, +{5,0,52},{7,0,277},{9,0,368},{139,0,791},{5,11,856},{6,11,1672},{6,11,1757},{6, +11,1781},{7,11,1150},{7,11,1425},{7,11,1453},{140,11,513},{5,11,92},{7,10,3},{10 +,11,736},{140,11,102},{4,0,112},{5,0,653},{5,10,483},{5,10,685},{6,10,489},{7,10 +,1204},{136,10,394},{132,10,921},{6,0,1028},{133,10,1007},{5,11,590},{9,11,213}, +{145,11,91},{135,10,1696},{10,0,138},{139,0,476},{5,0,725},{5,0,727},{135,0,1811 +},{4,0,979},{6,0,1821},{6,0,1838},{8,0,876},{8,0,883},{8,0,889},{8,0,893},{8,0, +895},{10,0,934},{12,0,720},{14,0,459},{148,0,123},{135,11,551},{4,0,38},{6,0,435 +},{7,0,307},{7,0,999},{7,0,1481},{7,0,1732},{7,0,1738},{8,0,371},{9,0,414},{11,0 +,316},{12,0,52},{13,0,420},{147,0,100},{135,0,1296},{132,10,712},{134,10,1629},{ +133,0,723},{134,0,651},{136,11,191},{9,11,791},{10,11,93},{11,11,301},{16,11,13} +,{17,11,23},{18,11,135},{19,11,12},{20,11,1},{20,11,12},{148,11,14},{136,11,503} +,{6,11,466},{135,11,671},{6,0,1200},{134,0,1330},{135,0,1255},{134,0,986},{5,0, +109},{6,0,1784},{7,0,1895},{12,0,296},{140,0,302},{135,11,983},{133,10,485},{134 +,0,660},{134,0,800},{5,0,216},{5,0,294},{6,0,591},{7,0,1879},{9,0,141},{9,0,270} +,{9,0,679},{10,0,159},{11,0,197},{11,0,438},{12,0,538},{12,0,559},{14,0,144},{14 +,0,167},{15,0,67},{4,10,285},{5,10,317},{6,10,301},{7,10,7},{8,10,153},{10,10, +766},{11,10,468},{12,10,467},{141,10,143},{136,0,945},{134,0,1090},{137,0,81},{ +12,11,468},{19,11,96},{148,11,24},{134,0,391},{138,11,241},{7,0,322},{136,0,249} +,{134,0,1412},{135,11,795},{5,0,632},{138,0,526},{136,10,819},{6,0,144},{7,0,948 +},{7,0,1042},{8,0,235},{8,0,461},{9,0,453},{9,0,796},{10,0,354},{17,0,77},{135, +11,954},{139,10,917},{6,0,940},{134,0,1228},{4,0,362},{7,0,52},{135,0,303},{6,11 +,549},{8,11,34},{8,11,283},{9,11,165},{138,11,475},{7,11,370},{7,11,1007},{7,11, +1177},{135,11,1565},{5,11,652},{5,11,701},{135,11,449},{5,0,196},{6,0,486},{7,0, +212},{8,0,309},{136,0,346},{6,10,1719},{6,10,1735},{7,10,2016},{7,10,2020},{8,10 +,837},{137,10,852},{6,11,159},{6,11,364},{7,11,516},{7,11,1439},{137,11,518},{ +135,0,1912},{135,0,1290},{132,0,686},{141,11,151},{138,0,625},{136,0,706},{138, +10,568},{139,0,412},{4,0,30},{133,0,43},{8,10,67},{138,10,419},{7,0,967},{141,0, +11},{12,0,758},{14,0,441},{142,0,462},{10,10,657},{14,10,297},{142,10,361},{139, +10,729},{4,0,220},{135,0,1535},{7,11,501},{9,11,111},{10,11,141},{11,11,332},{13 +,11,43},{13,11,429},{14,11,130},{14,11,415},{145,11,102},{4,0,950},{6,0,1859},{7 +,0,11},{8,0,873},{12,0,710},{12,0,718},{12,0,748},{12,0,765},{148,0,124},{5,11, +149},{5,11,935},{136,11,233},{142,11,291},{134,0,1579},{7,0,890},{8,10,51},{9,10 +,868},{10,10,833},{12,10,481},{12,10,570},{148,10,106},{141,0,2},{132,10,445},{ +136,11,801},{135,0,1774},{7,0,1725},{138,0,393},{5,0,263},{134,0,414},{132,11, +322},{133,10,239},{7,0,456},{7,10,1990},{8,10,130},{139,10,720},{137,0,818},{5, +10,123},{6,10,530},{7,10,348},{135,10,1419},{135,10,2024},{6,0,178},{6,0,1750},{ +8,0,251},{9,0,690},{10,0,155},{10,0,196},{10,0,373},{11,0,698},{13,0,155},{148,0 +,93},{5,0,97},{137,0,393},{134,0,674},{11,0,223},{140,0,168},{132,10,210},{139, +11,464},{6,0,1639},{146,0,159},{139,11,2},{7,0,934},{8,0,647},{17,0,97},{19,0,59 +},{150,0,2},{132,0,191},{5,0,165},{9,0,346},{10,0,655},{11,0,885},{4,10,430},{ +135,11,357},{133,0,877},{5,10,213},{133,11,406},{8,0,128},{139,0,179},{6,11,69}, +{135,11,117},{135,0,1297},{11,11,43},{13,11,72},{141,11,142},{135,11,1830},{142, +0,164},{5,0,57},{6,0,101},{6,0,586},{6,0,1663},{7,0,132},{7,0,1154},{7,0,1415},{ +7,0,1507},{12,0,493},{15,0,105},{151,0,15},{5,0,459},{7,0,1073},{8,0,241},{136,0 +,334},{133,11,826},{133,10,108},{5,10,219},{10,11,132},{11,11,191},{11,11,358},{ +139,11,460},{6,0,324},{6,0,520},{7,0,338},{7,0,1729},{8,0,228},{139,0,750},{21,0 +,30},{22,0,53},{4,10,193},{5,10,916},{7,10,364},{10,10,398},{10,10,726},{11,10, +317},{11,10,626},{12,10,142},{12,10,288},{12,10,678},{13,10,313},{15,10,113},{ +146,10,114},{6,11,110},{135,11,1681},{135,0,910},{6,10,241},{7,10,907},{8,10,832 +},{9,10,342},{10,10,729},{11,10,284},{11,10,445},{11,10,651},{11,10,863},{13,10, +398},{146,10,99},{7,0,705},{9,0,734},{5,11,1000},{7,11,733},{137,11,583},{4,0,73 +},{6,0,612},{7,0,927},{7,0,1822},{8,0,217},{9,0,765},{9,0,766},{10,0,408},{11,0, +51},{11,0,793},{12,0,266},{15,0,158},{20,0,89},{150,0,32},{7,0,1330},{4,11,297}, +{6,11,529},{7,11,152},{7,11,713},{7,11,1845},{8,11,710},{8,11,717},{140,11,639}, +{5,0,389},{136,0,636},{134,0,1409},{4,10,562},{9,10,254},{139,10,879},{134,0,893 +},{132,10,786},{4,11,520},{135,11,575},{136,0,21},{140,0,721},{136,0,959},{7,11, +1428},{7,11,1640},{9,11,169},{9,11,182},{9,11,367},{9,11,478},{9,11,506},{9,11, +551},{9,11,648},{9,11,651},{9,11,697},{9,11,705},{9,11,725},{9,11,787},{9,11,794 +},{10,11,198},{10,11,214},{10,11,267},{10,11,275},{10,11,456},{10,11,551},{10,11 +,561},{10,11,613},{10,11,627},{10,11,668},{10,11,675},{10,11,691},{10,11,695},{ +10,11,707},{10,11,715},{11,11,183},{11,11,201},{11,11,244},{11,11,262},{11,11, +352},{11,11,439},{11,11,493},{11,11,572},{11,11,591},{11,11,608},{11,11,611},{11 +,11,646},{11,11,674},{11,11,711},{11,11,751},{11,11,761},{11,11,776},{11,11,785} +,{11,11,850},{11,11,853},{11,11,862},{11,11,865},{11,11,868},{11,11,898},{11,11, +902},{11,11,903},{11,11,910},{11,11,932},{11,11,942},{11,11,957},{11,11,967},{11 +,11,972},{12,11,148},{12,11,195},{12,11,220},{12,11,237},{12,11,318},{12,11,339} +,{12,11,393},{12,11,445},{12,11,450},{12,11,474},{12,11,509},{12,11,533},{12,11, +591},{12,11,594},{12,11,597},{12,11,621},{12,11,633},{12,11,642},{13,11,59},{13, +11,60},{13,11,145},{13,11,239},{13,11,250},{13,11,273},{13,11,329},{13,11,344},{ +13,11,365},{13,11,372},{13,11,387},{13,11,403},{13,11,414},{13,11,456},{13,11, +478},{13,11,483},{13,11,489},{14,11,55},{14,11,57},{14,11,81},{14,11,90},{14,11, +148},{14,11,239},{14,11,266},{14,11,321},{14,11,326},{14,11,327},{14,11,330},{14 +,11,347},{14,11,355},{14,11,401},{14,11,411},{14,11,414},{14,11,416},{14,11,420} +,{15,11,61},{15,11,74},{15,11,87},{15,11,88},{15,11,94},{15,11,96},{15,11,116},{ +15,11,149},{15,11,154},{16,11,50},{16,11,63},{16,11,73},{17,11,2},{17,11,66},{17 +,11,92},{17,11,103},{17,11,112},{18,11,50},{18,11,54},{18,11,82},{18,11,86},{18, +11,90},{18,11,111},{18,11,115},{18,11,156},{19,11,40},{19,11,79},{20,11,78},{149 +,11,22},{137,11,170},{134,0,1433},{135,11,1307},{139,11,411},{5,0,189},{7,0,442} +,{7,0,443},{8,0,281},{12,0,174},{141,0,261},{6,10,216},{7,10,901},{7,10,1343},{ +136,10,493},{5,11,397},{6,11,154},{7,10,341},{7,11,676},{8,11,443},{8,11,609},{9 +,11,24},{9,11,325},{10,11,35},{11,10,219},{11,11,535},{11,11,672},{11,11,1018},{ +12,11,637},{144,11,30},{6,0,2},{7,0,191},{7,0,446},{7,0,1262},{7,0,1737},{8,0,22 +},{8,0,270},{8,0,612},{9,0,4},{9,0,312},{9,0,436},{9,0,626},{10,0,216},{10,0,311 +},{10,0,521},{10,0,623},{11,0,72},{11,0,330},{11,0,455},{12,0,321},{12,0,504},{ +12,0,530},{12,0,543},{13,0,17},{13,0,156},{13,0,334},{14,0,131},{17,0,60},{148,0 +,64},{7,0,354},{10,0,410},{139,0,815},{139,10,130},{7,10,1734},{137,11,631},{12, +0,425},{15,0,112},{10,10,115},{11,10,420},{13,10,404},{14,10,346},{143,10,54},{6 +,0,60},{6,0,166},{7,0,374},{7,0,670},{7,0,1327},{8,0,411},{8,0,435},{9,0,653},{9 +,0,740},{10,0,385},{11,0,222},{11,0,324},{11,0,829},{140,0,611},{7,0,1611},{13,0 +,14},{15,0,44},{19,0,13},{148,0,76},{133,11,981},{4,11,56},{7,11,1791},{8,11,607 +},{8,11,651},{11,11,465},{11,11,835},{12,11,337},{141,11,480},{6,0,1478},{5,10, +1011},{136,10,701},{139,0,596},{5,0,206},{134,0,398},{4,10,54},{5,10,666},{7,10, +1039},{7,10,1130},{9,10,195},{138,10,302},{7,0,50},{9,11,158},{138,11,411},{135, +11,1120},{6,0,517},{7,0,1159},{10,0,621},{11,0,192},{134,10,1669},{4,0,592},{6,0 +,600},{135,0,1653},{10,0,223},{139,0,645},{136,11,139},{7,0,64},{136,0,245},{142 +,0,278},{6,11,622},{135,11,1030},{136,0,604},{134,0,1502},{138,0,265},{141,11, +168},{7,0,1763},{140,0,310},{7,10,798},{139,11,719},{7,11,160},{10,11,624},{142, +11,279},{132,11,363},{7,10,122},{9,10,259},{10,10,84},{11,10,470},{12,10,541},{ +141,10,379},{5,0,129},{6,0,61},{135,0,947},{134,0,1356},{135,11,1191},{13,0,505} +,{141,0,506},{11,0,1000},{5,10,82},{5,10,131},{7,10,1755},{8,10,31},{9,10,168},{ +9,10,764},{139,10,869},{134,0,966},{134,10,605},{134,11,292},{5,11,177},{6,11, +616},{7,11,827},{9,11,525},{138,11,656},{135,11,1486},{138,11,31},{5,10,278},{ +137,10,68},{4,10,163},{5,10,201},{5,10,307},{5,10,310},{6,10,335},{7,10,284},{ +136,10,165},{6,0,839},{135,10,1660},{136,10,781},{6,10,33},{135,10,1244},{133,0, +637},{4,11,161},{133,11,631},{137,0,590},{7,10,1953},{136,10,720},{5,0,280},{7,0 +,1226},{138,10,203},{134,0,1386},{5,0,281},{6,0,1026},{6,10,326},{7,10,677},{137 +,10,425},{7,11,1557},{135,11,1684},{135,0,1064},{9,11,469},{9,11,709},{12,11,512 +},{14,11,65},{145,11,12},{134,0,917},{10,11,229},{11,11,73},{11,11,376},{139,11, +433},{7,0,555},{9,0,192},{13,0,30},{13,0,49},{15,0,150},{16,0,76},{20,0,52},{7, +10,1316},{7,10,1412},{7,10,1839},{9,10,589},{11,10,241},{11,10,676},{11,10,811}, +{11,10,891},{12,10,140},{12,10,346},{12,10,479},{13,10,381},{14,10,188},{146,10, +30},{149,0,15},{6,0,1882},{6,0,1883},{6,0,1897},{9,0,945},{9,0,1014},{9,0,1020}, +{12,0,823},{12,0,842},{12,0,866},{12,0,934},{15,0,242},{146,0,208},{6,0,965},{ +134,0,1499},{7,0,33},{7,0,120},{8,0,489},{9,0,319},{10,0,820},{11,0,1004},{12,0, +379},{12,0,679},{13,0,117},{13,0,412},{14,0,25},{15,0,52},{15,0,161},{16,0,47},{ +149,0,2},{6,11,558},{7,11,651},{8,11,421},{9,11,0},{138,11,34},{4,0,937},{5,0, +801},{7,0,473},{5,10,358},{7,10,1184},{10,10,662},{13,10,212},{13,10,304},{13,10 +,333},{145,10,98},{132,0,877},{6,0,693},{134,0,824},{132,0,365},{7,11,1832},{138 +,11,374},{5,0,7},{139,0,774},{4,0,734},{5,0,662},{134,0,430},{4,0,746},{135,0, +1090},{5,0,360},{8,0,237},{10,0,231},{147,0,124},{138,11,348},{6,11,6},{7,11,81} +,{7,11,771},{7,11,1731},{9,11,405},{138,11,421},{6,0,740},{137,0,822},{133,10, +946},{7,0,1485},{136,0,929},{7,10,411},{8,10,631},{9,10,323},{10,10,355},{11,10, +491},{12,10,143},{12,10,402},{13,10,73},{14,10,408},{15,10,107},{146,10,71},{135 +,10,590},{5,11,881},{133,11,885},{150,11,25},{4,0,852},{5,11,142},{134,11,546},{ +7,10,1467},{8,10,328},{10,10,544},{11,10,955},{13,10,320},{145,10,83},{9,0,17},{ +10,0,291},{11,10,511},{13,10,394},{14,10,298},{14,10,318},{146,10,103},{5,11,466 +},{11,11,571},{12,11,198},{13,11,283},{14,11,186},{15,11,21},{143,11,103},{134,0 +,1001},{4,11,185},{5,11,257},{5,11,839},{5,11,936},{7,11,171},{9,11,399},{10,11, +258},{10,11,395},{10,11,734},{11,11,1014},{12,11,23},{13,11,350},{14,11,150},{ +147,11,6},{143,0,35},{132,0,831},{5,10,835},{134,10,483},{4,0,277},{5,0,608},{6, +0,493},{7,0,457},{12,0,384},{7,11,404},{7,11,1377},{7,11,1430},{7,11,2017},{8,11 +,149},{8,11,239},{8,11,512},{8,11,793},{8,11,818},{9,11,474},{9,11,595},{10,11, +122},{10,11,565},{10,11,649},{10,11,783},{11,11,239},{11,11,295},{11,11,447},{11 +,11,528},{11,11,639},{11,11,800},{11,11,936},{12,11,25},{12,11,73},{12,11,77},{ +12,11,157},{12,11,316},{12,11,390},{12,11,391},{12,11,394},{12,11,395},{12,11, +478},{12,11,503},{12,11,592},{12,11,680},{13,11,50},{13,11,53},{13,11,132},{13, +11,198},{13,11,275},{13,11,322},{13,11,415},{14,11,71},{14,11,257},{14,11,395},{ +15,11,71},{15,11,136},{17,11,123},{18,11,93},{147,11,58},{134,0,1351},{7,0,27},{ +135,0,316},{136,11,712},{136,0,984},{133,0,552},{137,0,264},{132,0,401},{6,0,710 +},{6,0,1111},{134,0,1343},{134,0,1211},{9,0,543},{10,0,524},{11,0,108},{11,0,653 +},{12,0,524},{13,0,123},{14,0,252},{16,0,18},{19,0,38},{20,0,26},{20,0,65},{21,0 +,3},{151,0,11},{4,0,205},{5,0,623},{7,0,104},{8,0,519},{137,0,716},{132,10,677}, +{4,11,377},{152,11,13},{135,11,1673},{7,0,579},{9,0,41},{9,0,244},{9,0,669},{10, +0,5},{11,0,861},{11,0,951},{139,0,980},{132,0,717},{136,0,1011},{132,0,805},{4, +11,180},{135,11,1906},{132,10,777},{132,10,331},{132,0,489},{6,0,1024},{4,11,491 +},{133,10,747},{135,11,1182},{4,11,171},{138,11,234},{4,11,586},{7,11,1186},{138 +,11,631},{135,0,892},{135,11,336},{9,11,931},{10,11,334},{148,11,71},{137,0,473} +,{6,0,864},{12,0,659},{139,11,926},{7,0,819},{9,0,26},{9,0,392},{10,0,152},{10,0 +,226},{11,0,19},{12,0,276},{12,0,426},{12,0,589},{13,0,460},{15,0,97},{19,0,48}, +{148,0,104},{135,0,51},{133,10,326},{4,10,691},{146,10,16},{9,0,130},{11,0,765}, +{10,10,680},{10,10,793},{141,10,357},{133,11,765},{8,0,229},{6,10,32},{7,10,385} +,{7,10,757},{7,10,1916},{8,10,94},{8,10,711},{9,10,541},{10,10,162},{10,10,795}, +{11,10,989},{11,10,1010},{12,10,14},{142,10,308},{7,11,474},{137,11,578},{132,0, +674},{132,0,770},{5,0,79},{7,0,1027},{7,0,1477},{139,0,52},{133,11,424},{134,0, +1666},{6,0,409},{6,10,349},{6,10,1682},{7,10,1252},{8,10,112},{8,11,714},{9,10, +435},{9,10,668},{10,10,290},{10,10,319},{10,10,815},{11,10,180},{11,10,837},{12, +10,240},{13,10,152},{13,10,219},{142,10,158},{5,0,789},{134,0,195},{4,0,251},{4, +0,688},{7,0,513},{135,0,1284},{132,10,581},{9,11,420},{10,11,269},{10,11,285},{ +10,11,576},{11,11,397},{13,11,175},{145,11,90},{6,10,126},{7,10,573},{8,10,397}, +{142,10,44},{132,11,429},{133,0,889},{4,0,160},{5,0,330},{7,0,1434},{136,0,174}, +{7,11,18},{7,11,699},{7,11,1966},{8,11,752},{9,11,273},{9,11,412},{9,11,703},{10 +,11,71},{10,11,427},{10,11,508},{146,11,97},{6,0,872},{134,0,899},{133,10,926},{ +134,0,1126},{134,0,918},{4,11,53},{5,11,186},{135,11,752},{7,0,268},{136,0,569}, +{134,0,1224},{6,0,1361},{7,10,1232},{137,10,531},{8,11,575},{10,11,289},{139,11, +319},{133,10,670},{132,11,675},{133,0,374},{135,10,1957},{133,0,731},{11,0,190}, +{15,0,49},{11,11,190},{143,11,49},{4,0,626},{5,0,506},{5,0,642},{6,0,425},{10,0, +202},{139,0,141},{137,0,444},{7,10,242},{135,10,1942},{6,11,209},{8,11,468},{9, +11,210},{11,11,36},{12,11,28},{12,11,630},{13,11,21},{13,11,349},{14,11,7},{145, +11,13},{4,11,342},{135,11,1179},{5,10,834},{7,10,1202},{8,10,14},{9,10,481},{137 +,10,880},{4,11,928},{133,11,910},{4,11,318},{4,11,496},{7,11,856},{139,11,654},{ +136,0,835},{7,0,1526},{138,10,465},{151,0,17},{135,0,477},{4,10,357},{6,10,172}, +{7,10,143},{137,10,413},{6,0,1374},{138,0,994},{18,0,76},{132,10,590},{7,0,287}, +{8,0,355},{9,0,293},{137,0,743},{134,0,1389},{7,11,915},{8,11,247},{147,11,0},{4 +,11,202},{5,11,382},{6,11,454},{7,11,936},{7,11,1803},{8,11,758},{9,11,375},{9, +11,895},{10,11,743},{10,11,792},{11,11,978},{11,11,1012},{142,11,109},{5,0,384}, +{8,0,455},{140,0,48},{132,11,390},{5,10,169},{7,10,333},{136,10,45},{5,0,264},{ +134,0,184},{138,11,791},{133,11,717},{132,10,198},{6,11,445},{7,11,332},{137,11, +909},{136,0,1001},{4,10,24},{5,10,140},{5,10,185},{7,10,1500},{11,10,565},{139, +10,838},{134,11,578},{5,0,633},{6,0,28},{135,0,1323},{132,0,851},{136,11,267},{7 +,0,359},{8,0,243},{140,0,175},{4,10,334},{133,10,593},{141,11,87},{136,11,766},{ +10,0,287},{12,0,138},{10,11,287},{140,11,138},{4,0,105},{132,0,740},{140,10,116} +,{134,0,857},{135,11,1841},{6,0,1402},{137,0,819},{132,11,584},{132,10,709},{133 +,10,897},{5,0,224},{13,0,174},{146,0,52},{135,10,1840},{4,10,608},{133,10,497},{ +139,11,60},{4,0,758},{135,0,1649},{4,11,226},{4,11,326},{135,11,1770},{5,11,426} +,{8,11,30},{9,11,2},{11,11,549},{147,11,122},{135,10,2039},{6,10,540},{136,10, +136},{4,0,573},{8,0,655},{4,10,897},{133,10,786},{7,0,351},{139,0,128},{133,10, +999},{4,10,299},{135,10,1004},{133,0,918},{132,11,345},{4,11,385},{7,11,265},{ +135,11,587},{133,10,456},{136,10,180},{6,0,687},{134,0,1537},{4,11,347},{5,11, +423},{5,11,996},{135,11,1329},{132,10,755},{7,11,1259},{9,11,125},{11,11,65},{ +140,11,285},{5,11,136},{6,11,136},{136,11,644},{134,0,1525},{4,0,1009},{135,0, +1139},{139,10,338},{132,0,340},{135,10,1464},{8,0,847},{10,0,861},{10,0,876},{10 +,0,889},{10,0,922},{10,0,929},{10,0,933},{12,0,784},{140,0,791},{139,0,176},{9, +11,134},{10,11,2},{10,11,27},{10,11,333},{11,11,722},{143,11,1},{4,11,433},{133, +11,719},{5,0,985},{7,0,509},{7,0,529},{145,0,96},{132,0,615},{4,10,890},{5,10, +805},{5,10,819},{5,10,961},{6,10,396},{6,10,1631},{6,10,1678},{7,10,1967},{7,10, +2041},{9,10,630},{11,10,8},{11,10,1019},{12,10,176},{13,10,225},{14,10,292},{149 +,10,24},{135,0,1919},{134,0,1131},{144,11,21},{144,11,51},{135,10,1815},{4,0,247 +},{7,10,1505},{10,10,190},{10,10,634},{11,10,792},{12,10,358},{140,10,447},{5,10 +,0},{6,10,536},{7,10,604},{13,10,445},{145,10,126},{4,0,184},{5,0,390},{6,0,337} +,{7,0,23},{7,0,494},{7,0,618},{7,0,1456},{8,0,27},{8,0,599},{10,0,153},{139,0, +710},{6,10,232},{6,10,412},{7,10,1074},{8,10,9},{8,10,157},{8,10,786},{9,10,196} +,{9,10,352},{9,10,457},{10,10,337},{11,10,232},{11,10,877},{12,10,480},{140,10, +546},{13,0,38},{135,10,958},{4,10,382},{136,10,579},{4,10,212},{135,10,1206},{4, +11,555},{8,11,536},{138,11,288},{11,11,139},{139,11,171},{9,11,370},{138,11,90}, +{132,0,1015},{134,0,1088},{5,10,655},{135,11,977},{134,0,1585},{17,10,67},{147, +10,74},{10,0,227},{11,0,497},{11,0,709},{140,0,415},{6,0,360},{7,0,1664},{136,0, +478},{7,0,95},{6,10,231},{136,10,423},{140,11,65},{4,11,257},{135,11,2031},{135, +11,1768},{133,10,300},{139,11,211},{136,0,699},{6,10,237},{7,10,611},{8,10,100}, +{9,10,416},{11,10,335},{12,10,173},{146,10,101},{14,0,26},{146,0,150},{6,0,581}, +{135,0,1119},{135,10,1208},{132,0,739},{6,11,83},{6,11,1733},{135,11,1389},{137, +0,869},{4,0,67},{5,0,422},{7,0,1037},{7,0,1289},{7,0,1555},{9,0,741},{145,0,108} +,{133,10,199},{12,10,427},{146,10,38},{136,0,464},{142,0,42},{10,0,96},{8,11,501 +},{137,11,696},{134,11,592},{4,0,512},{4,0,966},{5,0,342},{6,0,1855},{8,0,869},{ +8,0,875},{8,0,901},{144,0,26},{8,0,203},{11,0,823},{11,0,846},{12,0,482},{13,0, +277},{13,0,302},{13,0,464},{14,0,205},{142,0,221},{4,0,449},{133,0,718},{7,11, +1718},{9,11,95},{9,11,274},{10,11,279},{10,11,317},{10,11,420},{11,11,303},{11, +11,808},{12,11,134},{12,11,367},{13,11,149},{13,11,347},{14,11,349},{14,11,406}, +{18,11,22},{18,11,89},{18,11,122},{147,11,47},{133,11,26},{4,0,355},{6,0,311},{9 +,0,256},{138,0,404},{132,11,550},{10,0,758},{6,10,312},{6,10,1715},{10,10,584},{ +11,10,546},{11,10,692},{12,10,259},{12,10,295},{13,10,46},{141,10,154},{136,11, +822},{5,0,827},{4,11,902},{5,11,809},{6,11,122},{135,11,896},{5,0,64},{140,0,581 +},{4,0,442},{6,0,739},{7,0,1047},{7,0,1352},{7,0,1643},{7,11,1911},{9,11,449},{ +10,11,192},{138,11,740},{135,11,262},{132,10,588},{133,11,620},{5,0,977},{6,0, +288},{7,0,528},{4,11,34},{5,11,574},{7,11,279},{7,11,1624},{136,11,601},{6,0, +1375},{4,10,231},{5,10,61},{6,10,104},{7,10,729},{7,10,964},{7,10,1658},{140,10, +414},{6,10,263},{138,10,757},{132,10,320},{4,0,254},{7,0,1309},{5,11,332},{135, +11,1309},{6,11,261},{8,11,182},{139,11,943},{132,10,225},{6,0,12},{135,0,1219},{ +4,0,275},{12,0,376},{6,11,1721},{141,11,490},{4,11,933},{133,11,880},{6,0,951},{ +6,0,1109},{6,0,1181},{7,0,154},{4,10,405},{7,10,817},{14,10,58},{17,10,37},{146, +10,124},{6,0,1520},{133,10,974},{134,0,1753},{6,0,369},{6,0,502},{7,0,1036},{8,0 +,348},{9,0,452},{10,0,26},{11,0,224},{11,0,387},{11,0,772},{12,0,95},{12,0,629}, +{13,0,195},{13,0,207},{13,0,241},{14,0,260},{14,0,270},{143,0,140},{132,0,269},{ +5,0,480},{7,0,532},{7,0,1197},{7,0,1358},{8,0,291},{11,0,349},{142,0,396},{5,10, +235},{7,10,1239},{11,10,131},{140,10,370},{7,10,956},{7,10,1157},{7,10,1506},{7, +10,1606},{7,10,1615},{7,10,1619},{7,10,1736},{7,10,1775},{8,10,590},{9,10,324},{ +9,10,736},{9,10,774},{9,10,776},{9,10,784},{10,10,567},{10,10,708},{11,10,518},{ +11,10,613},{11,10,695},{11,10,716},{11,10,739},{11,10,770},{11,10,771},{11,10, +848},{11,10,857},{11,10,931},{11,10,947},{12,10,326},{12,10,387},{12,10,484},{12 +,10,528},{12,10,552},{12,10,613},{13,10,189},{13,10,256},{13,10,340},{13,10,432} +,{13,10,436},{13,10,440},{13,10,454},{14,10,174},{14,10,220},{14,10,284},{14,10, +390},{145,10,121},{8,11,598},{9,11,664},{138,11,441},{9,10,137},{138,10,221},{ +133,11,812},{148,0,15},{134,0,1341},{6,0,1017},{4,11,137},{7,11,1178},{135,11, +1520},{7,10,390},{138,10,140},{7,11,1260},{135,11,1790},{137,11,191},{135,10, +1144},{6,0,1810},{7,0,657},{8,0,886},{10,0,857},{14,0,440},{144,0,96},{8,0,533}, +{6,11,1661},{7,11,1975},{7,11,2009},{135,11,2011},{6,0,1453},{134,10,464},{132, +11,715},{5,10,407},{11,10,204},{11,10,243},{11,10,489},{12,10,293},{19,10,37},{ +20,10,73},{150,10,38},{133,11,703},{4,0,211},{7,0,1483},{5,10,325},{8,10,5},{8, +10,227},{9,10,105},{10,10,585},{140,10,614},{4,0,332},{5,0,335},{6,0,238},{7,0, +269},{7,0,811},{7,0,1797},{8,0,836},{9,0,507},{141,0,242},{5,11,89},{7,11,1915}, +{9,11,185},{9,11,235},{9,11,496},{10,11,64},{10,11,270},{10,11,403},{10,11,469}, +{10,11,529},{10,11,590},{11,11,140},{11,11,860},{13,11,1},{13,11,422},{14,11,341 +},{14,11,364},{17,11,93},{18,11,113},{19,11,97},{147,11,113},{133,11,695},{16,0, +19},{5,11,6},{6,11,183},{6,10,621},{7,11,680},{7,11,978},{7,11,1013},{7,11,1055} +,{12,11,230},{13,11,172},{13,10,504},{146,11,29},{136,0,156},{133,0,1009},{6,11, +29},{139,11,63},{134,0,820},{134,10,218},{7,10,454},{7,10,782},{8,10,768},{140, +10,686},{5,0,228},{6,0,203},{7,0,156},{8,0,347},{9,0,265},{18,0,39},{20,0,54},{ +21,0,31},{22,0,3},{23,0,0},{15,11,8},{18,11,39},{20,11,54},{21,11,31},{22,11,3}, +{151,11,0},{7,0,1131},{135,0,1468},{144,10,0},{134,0,1276},{10,10,676},{140,10, +462},{132,11,311},{134,11,1740},{7,11,170},{8,11,90},{8,11,177},{8,11,415},{11, +11,714},{142,11,281},{134,10,164},{6,0,1792},{138,0,849},{150,10,50},{5,0,291},{ +5,0,318},{7,0,765},{9,0,389},{12,0,548},{8,11,522},{142,11,328},{11,11,91},{13, +11,129},{15,11,101},{145,11,125},{4,11,494},{6,11,74},{7,11,44},{7,11,407},{8,11 +,551},{12,11,17},{15,11,5},{148,11,11},{4,11,276},{133,11,296},{6,10,343},{7,10, +195},{7,11,1777},{9,10,226},{10,10,197},{10,10,575},{11,10,502},{139,10,899},{10 +,0,525},{139,0,82},{14,0,453},{4,11,7},{5,11,90},{5,11,158},{6,11,542},{7,11,221 +},{7,11,1574},{9,11,490},{10,11,540},{11,11,443},{139,11,757},{135,0,666},{22,10 +,29},{150,11,29},{4,0,422},{147,10,8},{5,0,355},{145,0,0},{6,0,1873},{9,0,918},{ +7,11,588},{9,11,175},{138,11,530},{143,11,31},{11,0,165},{7,10,1125},{9,10,143}, +{14,10,405},{150,10,21},{9,0,260},{137,0,905},{5,11,872},{6,11,57},{6,11,479},{6 +,11,562},{7,11,471},{7,11,1060},{9,11,447},{9,11,454},{141,11,6},{138,11,704},{ +133,0,865},{5,0,914},{134,0,1625},{133,0,234},{7,0,1383},{5,11,31},{6,11,614},{ +145,11,61},{7,11,1200},{138,11,460},{6,11,424},{135,11,1866},{136,0,306},{5,10, +959},{12,11,30},{13,11,148},{14,11,87},{14,11,182},{16,11,42},{18,11,92},{148,11 +,70},{6,0,1919},{6,0,1921},{9,0,923},{9,0,930},{9,0,941},{9,0,949},{9,0,987},{9, +0,988},{9,0,992},{12,0,802},{12,0,815},{12,0,856},{12,0,885},{12,0,893},{12,0, +898},{12,0,919},{12,0,920},{12,0,941},{12,0,947},{15,0,183},{15,0,185},{15,0,189 +},{15,0,197},{15,0,202},{15,0,233},{18,0,218},{18,0,219},{18,0,233},{143,11,156} +,{135,10,1759},{136,10,173},{13,0,163},{13,0,180},{18,0,78},{20,0,35},{5,11,13}, +{134,11,142},{134,10,266},{6,11,97},{7,11,116},{8,11,322},{8,11,755},{9,11,548}, +{10,11,714},{11,11,884},{141,11,324},{135,0,1312},{9,0,814},{137,11,676},{133,0, +707},{135,0,1493},{6,0,421},{7,0,61},{7,0,1540},{10,0,11},{138,0,501},{12,0,733} +,{12,0,766},{7,11,866},{135,11,1163},{137,0,341},{142,0,98},{145,11,115},{135,11 +,1111},{136,10,300},{136,0,1014},{8,11,1},{9,11,112},{138,11,326},{132,11,730},{ +5,11,488},{6,11,527},{7,11,489},{7,11,1636},{8,11,121},{8,11,144},{8,11,359},{9, +11,193},{9,11,241},{9,11,336},{9,11,882},{11,11,266},{11,11,372},{11,11,944},{12 +,11,401},{140,11,641},{6,0,971},{134,0,1121},{6,0,102},{7,0,72},{15,0,142},{147, +0,67},{151,0,30},{135,0,823},{134,0,1045},{5,10,427},{5,10,734},{7,10,478},{136, +10,52},{7,0,1930},{11,10,217},{142,10,165},{6,0,1512},{135,0,1870},{9,11,31},{10 +,11,244},{10,11,699},{12,11,149},{141,11,497},{133,11,377},{145,11,101},{10,11, +158},{13,11,13},{13,11,137},{13,11,258},{14,11,111},{14,11,225},{14,11,253},{14, +11,304},{14,11,339},{14,11,417},{146,11,33},{6,0,87},{6,10,1734},{7,10,20},{7,10 +,1056},{8,10,732},{9,10,406},{9,10,911},{138,10,694},{134,0,1243},{137,0,245},{7 +,0,68},{8,0,48},{8,0,88},{8,0,582},{8,0,681},{9,0,373},{9,0,864},{11,0,157},{11, +0,336},{11,0,843},{148,0,27},{8,11,663},{144,11,8},{133,10,613},{4,0,88},{5,0, +137},{5,0,174},{5,0,777},{6,0,1664},{6,0,1725},{7,0,77},{7,0,426},{7,0,1317},{7, +0,1355},{8,0,126},{8,0,563},{9,0,523},{9,0,750},{10,0,310},{10,0,836},{11,0,42}, +{11,0,318},{11,0,731},{12,0,68},{12,0,92},{12,0,507},{12,0,692},{13,0,81},{13,0, +238},{13,0,374},{14,0,436},{18,0,138},{19,0,78},{19,0,111},{20,0,55},{20,0,77},{ +148,0,92},{141,0,418},{4,0,938},{137,0,625},{138,0,351},{5,11,843},{7,10,32},{7, +10,984},{8,10,85},{8,10,709},{9,10,579},{9,10,847},{9,10,856},{10,10,799},{11,10 +,258},{11,10,1007},{12,10,331},{12,10,615},{13,10,188},{13,10,435},{14,10,8},{15 +,10,165},{16,10,27},{148,10,40},{6,0,1668},{7,0,1499},{8,0,117},{9,0,314},{138,0 +,174},{135,0,707},{132,11,554},{133,11,536},{5,0,403},{5,11,207},{9,11,79},{11, +11,625},{145,11,7},{132,11,424},{136,11,785},{4,10,167},{135,10,82},{9,0,7},{23, +0,6},{9,11,7},{151,11,6},{6,0,282},{5,10,62},{6,10,534},{7,10,74},{7,10,678},{7, +10,684},{7,10,1043},{7,10,1072},{8,10,280},{8,10,541},{8,10,686},{9,10,258},{10, +10,519},{11,10,252},{140,10,282},{138,10,33},{132,10,359},{4,0,44},{5,0,311},{6, +0,156},{7,0,639},{7,0,762},{7,0,1827},{9,0,8},{9,0,462},{148,0,83},{7,11,769},{9 +,11,18},{138,11,358},{4,0,346},{7,0,115},{9,0,180},{9,0,456},{10,0,363},{4,11, +896},{134,11,1777},{133,10,211},{7,0,761},{7,0,1051},{137,0,545},{6,10,145},{141 +,10,336},{7,11,750},{9,11,223},{11,11,27},{11,11,466},{12,11,624},{14,11,265},{ +146,11,61},{6,0,752},{6,0,768},{6,0,1195},{6,0,1254},{6,0,1619},{137,0,835},{6,0 +,1936},{8,0,930},{136,0,960},{132,10,263},{132,11,249},{12,0,653},{132,10,916},{ +4,11,603},{133,11,661},{8,0,344},{4,11,11},{6,11,128},{7,11,231},{7,11,1533},{ +138,11,725},{134,0,1483},{134,0,875},{6,0,185},{7,0,1899},{9,0,875},{139,0,673}, +{15,10,155},{144,10,79},{7,0,93},{7,0,210},{7,0,1223},{8,0,451},{8,0,460},{11,0, +353},{11,0,475},{4,10,599},{6,10,1634},{7,10,67},{7,10,691},{7,10,979},{7,10, +1697},{8,10,207},{8,10,214},{8,10,231},{8,10,294},{8,10,336},{8,10,428},{8,10, +471},{8,10,622},{8,10,626},{8,10,679},{8,10,759},{8,10,829},{9,10,11},{9,10,246} +,{9,10,484},{9,10,573},{9,10,706},{9,10,762},{9,10,798},{9,10,855},{9,10,870},{9 +,10,912},{10,10,303},{10,10,335},{10,10,424},{10,10,461},{10,10,543},{10,10,759} +,{10,10,814},{11,10,59},{11,10,235},{11,10,590},{11,10,929},{11,10,963},{11,10, +987},{12,10,114},{12,10,182},{12,10,226},{12,10,332},{12,10,439},{12,10,575},{12 +,10,598},{12,10,675},{13,10,8},{13,10,125},{13,10,194},{13,10,287},{14,10,197},{ +14,10,383},{15,10,53},{17,10,63},{19,10,46},{19,10,98},{19,10,106},{148,10,85},{ +132,11,476},{4,0,327},{5,0,478},{7,0,1332},{136,0,753},{5,0,1020},{133,0,1022},{ +135,11,1807},{4,0,103},{133,0,401},{4,0,499},{135,0,1421},{10,0,207},{13,0,164}, +{147,10,126},{9,11,20},{10,11,324},{139,11,488},{132,0,96},{9,11,280},{138,11, +134},{135,0,968},{133,10,187},{135,10,1286},{5,11,112},{6,11,103},{134,11,150},{ +8,0,914},{10,0,3},{4,10,215},{9,10,38},{11,10,23},{11,10,127},{139,10,796},{135, +0,399},{6,0,563},{137,0,224},{6,0,704},{134,0,1214},{4,11,708},{8,11,15},{9,11, +50},{9,11,386},{11,11,18},{11,11,529},{140,11,228},{4,11,563},{7,11,109},{7,11, +592},{7,11,637},{7,11,770},{7,11,1701},{8,11,436},{8,11,463},{9,11,60},{9,11,335 +},{9,11,904},{10,11,73},{11,11,434},{12,11,585},{13,11,331},{18,11,110},{148,11, +60},{134,0,1559},{132,11,502},{6,11,347},{138,11,161},{4,11,33},{5,11,102},{5,11 +,500},{6,11,284},{7,11,1079},{7,11,1423},{7,11,1702},{8,11,470},{9,11,554},{9,11 +,723},{139,11,333},{7,11,246},{135,11,840},{6,11,10},{8,11,571},{9,11,739},{143, +11,91},{8,0,861},{10,0,905},{12,0,730},{12,0,789},{133,11,626},{134,0,946},{5,0, +746},{12,0,333},{14,0,332},{12,11,333},{142,11,332},{5,11,18},{6,11,526},{13,11, +24},{13,11,110},{19,11,5},{147,11,44},{4,0,910},{5,0,832},{135,10,2002},{10,11, +768},{139,11,787},{4,11,309},{5,11,462},{7,11,970},{135,11,1097},{4,10,28},{5,10 +,440},{7,10,248},{11,10,833},{140,10,344},{134,10,1654},{6,0,632},{6,0,652},{6,0 +,1272},{6,0,1384},{134,0,1560},{134,11,1704},{6,0,1393},{133,10,853},{6,10,249}, +{7,10,1234},{139,10,573},{5,11,86},{7,11,743},{9,11,85},{10,11,281},{10,11,432}, +{11,11,490},{12,11,251},{13,11,118},{14,11,378},{146,11,143},{5,11,524},{133,11, +744},{134,0,1514},{10,0,201},{142,0,319},{7,0,717},{10,0,510},{7,10,392},{8,10, +20},{8,10,172},{8,10,690},{9,10,383},{9,10,845},{11,10,293},{11,10,832},{11,10, +920},{11,10,984},{141,10,221},{134,0,1381},{5,10,858},{133,10,992},{8,0,528},{ +137,0,348},{10,11,107},{140,11,436},{4,0,20},{133,0,616},{134,0,1251},{132,11, +927},{10,11,123},{12,11,670},{13,11,371},{14,11,142},{146,11,94},{134,0,1163},{7 +,11,1149},{137,11,156},{134,0,307},{133,11,778},{7,0,1091},{135,0,1765},{5,11, +502},{6,10,268},{137,10,62},{8,11,196},{10,11,283},{139,11,406},{4,0,26},{5,0, +429},{6,0,245},{7,0,704},{7,0,1379},{135,0,1474},{133,11,855},{132,0,881},{4,0, +621},{135,11,1596},{7,11,1400},{9,11,446},{138,11,45},{6,0,736},{138,10,106},{ +133,0,542},{134,0,348},{133,0,868},{136,0,433},{135,0,1495},{138,0,771},{6,10, +613},{136,10,223},{138,0,215},{141,0,124},{136,11,391},{135,11,172},{132,10,670} +,{140,0,55},{9,10,40},{139,10,136},{7,0,62},{147,0,112},{132,0,856},{132,11,568} +,{12,0,270},{139,10,259},{8,0,572},{137,0,698},{4,11,732},{9,10,310},{137,10,682 +},{142,10,296},{134,0,939},{136,11,733},{135,11,1435},{7,10,1401},{135,10,1476}, +{6,0,352},{4,10,296},{7,10,401},{7,10,1410},{7,10,1594},{7,10,1674},{8,10,63},{8 +,10,660},{137,10,74},{4,11,428},{133,11,668},{4,10,139},{4,10,388},{140,10,188}, +{7,11,2015},{140,11,665},{132,0,647},{146,0,10},{138,0,220},{142,0,464},{132,0, +109},{134,0,1746},{6,0,515},{4,10,747},{6,11,1623},{6,11,1681},{7,10,649},{7,10, +1479},{135,10,1583},{133,10,232},{135,0,566},{137,10,887},{4,0,40},{10,0,67},{11 +,0,117},{11,0,768},{139,0,935},{132,0,801},{7,0,992},{8,0,301},{9,0,722},{12,0, +63},{13,0,29},{14,0,161},{143,0,18},{139,0,923},{6,11,1748},{8,11,715},{9,11,802 +},{10,11,46},{10,11,819},{13,11,308},{14,11,351},{14,11,363},{146,11,67},{137,11 +,745},{7,0,1145},{4,10,14},{7,10,1801},{10,10,748},{141,10,458},{4,11,63},{5,11, +347},{134,11,474},{135,0,568},{4,10,425},{7,11,577},{7,11,1432},{9,11,475},{9,11 +,505},{9,11,526},{9,11,609},{9,11,689},{9,11,726},{9,11,735},{9,11,738},{10,11, +556},{10,11,674},{10,11,684},{11,11,89},{11,11,202},{11,11,272},{11,11,380},{11, +11,415},{11,11,505},{11,11,537},{11,11,550},{11,11,562},{11,11,640},{11,11,667}, +{11,11,688},{11,11,847},{11,11,927},{11,11,930},{11,11,940},{12,11,144},{12,11, +325},{12,11,329},{12,11,389},{12,11,403},{12,11,451},{12,11,515},{12,11,604},{12 +,11,616},{12,11,626},{13,11,66},{13,11,131},{13,11,167},{13,11,236},{13,11,368}, +{13,11,411},{13,11,434},{13,11,453},{13,11,461},{13,11,474},{14,11,59},{14,11,60 +},{14,11,139},{14,11,152},{14,11,276},{14,11,353},{14,11,402},{15,11,28},{15,11, +81},{15,11,123},{15,11,152},{18,11,136},{148,11,88},{137,0,247},{135,11,1622},{9 +,11,544},{11,11,413},{144,11,25},{4,0,645},{7,0,825},{6,10,1768},{135,11,89},{ +140,0,328},{5,10,943},{134,10,1779},{134,0,1363},{5,10,245},{6,10,576},{7,10,582 +},{136,10,225},{134,0,1280},{5,11,824},{133,11,941},{7,11,440},{8,11,230},{139, +11,106},{5,0,28},{6,0,204},{10,0,320},{10,0,583},{13,0,502},{14,0,72},{14,0,274} +,{14,0,312},{14,0,344},{15,0,159},{16,0,62},{16,0,69},{17,0,30},{18,0,42},{18,0, +53},{18,0,84},{18,0,140},{19,0,68},{19,0,85},{20,0,5},{20,0,45},{20,0,101},{22,0 +,7},{150,0,20},{4,0,558},{6,0,390},{7,0,162},{7,0,689},{9,0,360},{138,0,653},{ +134,0,764},{6,0,862},{137,0,833},{5,0,856},{6,0,1672},{6,0,1757},{134,0,1781},{5 +,0,92},{10,0,736},{140,0,102},{6,0,1927},{6,0,1944},{8,0,924},{8,0,948},{10,0, +967},{138,0,978},{134,0,1479},{5,0,590},{8,0,360},{9,0,213},{138,0,63},{134,0, +1521},{6,0,709},{134,0,891},{132,10,443},{13,0,477},{14,0,120},{148,0,61},{4,11, +914},{5,11,800},{133,11,852},{10,11,54},{141,11,115},{4,11,918},{133,11,876},{ +139,11,152},{4,11,92},{133,11,274},{135,11,1901},{9,11,800},{10,11,693},{11,11, +482},{11,11,734},{139,11,789},{9,0,483},{132,10,298},{6,0,1213},{141,11,498},{ +135,11,1451},{133,11,743},{4,0,1022},{10,0,1000},{12,0,957},{12,0,980},{12,0, +1013},{14,0,481},{144,0,116},{8,0,503},{17,0,29},{4,11,49},{7,11,280},{135,11, +1633},{135,0,1712},{134,0,466},{136,11,47},{5,10,164},{7,10,121},{142,10,189},{7 +,10,812},{7,10,1261},{7,10,1360},{9,10,632},{140,10,352},{139,10,556},{132,0,731 +},{5,11,272},{5,11,908},{5,11,942},{7,11,1008},{7,11,1560},{8,11,197},{9,11,47}, +{11,11,538},{139,11,742},{4,10,172},{9,10,611},{10,10,436},{12,10,673},{141,10, +255},{133,10,844},{10,0,484},{11,0,754},{12,0,457},{14,0,171},{14,0,389},{146,0, +153},{9,10,263},{10,10,147},{138,10,492},{137,11,891},{138,0,241},{133,10,537},{ +6,0,2005},{136,0,964},{137,10,842},{151,11,8},{4,11,407},{132,11,560},{135,11, +1884},{6,0,1100},{134,0,1242},{135,0,954},{5,10,230},{5,10,392},{6,10,420},{9,10 +,568},{140,10,612},{4,11,475},{11,11,35},{11,11,90},{13,11,7},{13,11,71},{13,11, +177},{142,11,422},{136,11,332},{135,0,1958},{6,0,549},{8,0,34},{8,0,283},{9,0, +165},{138,0,475},{10,0,952},{12,0,966},{140,0,994},{5,0,652},{5,0,701},{135,0, +449},{4,0,655},{7,0,850},{17,0,75},{146,0,137},{4,0,146},{7,0,1618},{8,0,670},{5 +,10,41},{7,10,1459},{7,10,1469},{7,10,1859},{9,10,549},{139,10,905},{133,10,696} +,{6,0,159},{6,0,364},{7,0,516},{137,0,518},{135,0,1439},{6,11,222},{7,11,636},{7 +,11,1620},{8,11,409},{9,11,693},{139,11,77},{13,0,151},{141,11,45},{6,0,1027},{4 +,11,336},{132,10,771},{139,11,392},{10,11,121},{11,11,175},{149,11,16},{8,0,950} +,{138,0,983},{133,10,921},{135,0,993},{6,10,180},{7,10,1137},{8,10,751},{139,10, +805},{7,0,501},{9,0,111},{10,0,141},{11,0,332},{13,0,43},{13,0,429},{14,0,130},{ +14,0,415},{145,0,102},{4,10,183},{5,11,882},{7,10,271},{11,10,824},{11,10,952},{ +13,10,278},{13,10,339},{13,10,482},{14,10,424},{148,10,99},{4,10,19},{5,10,477}, +{5,10,596},{6,10,505},{7,10,1221},{11,10,907},{12,10,209},{141,10,214},{135,10, +1215},{133,0,452},{132,11,426},{5,0,149},{136,0,233},{133,0,935},{6,11,58},{7,11 +,654},{7,11,745},{7,11,1969},{8,11,240},{8,11,675},{9,11,479},{9,11,731},{10,11, +330},{10,11,593},{10,11,817},{11,11,32},{11,11,133},{11,11,221},{145,11,68},{12, +0,582},{18,0,131},{7,11,102},{137,11,538},{136,0,801},{134,10,1645},{132,0,70},{ +6,10,92},{6,10,188},{7,10,1269},{7,10,1524},{7,10,1876},{10,10,228},{139,10,1020 +},{4,10,459},{133,10,966},{138,0,369},{16,0,36},{140,10,330},{141,11,366},{7,0, +721},{10,0,236},{12,0,204},{6,10,18},{7,10,932},{8,10,757},{9,10,54},{9,10,65},{ +9,10,844},{10,10,113},{10,10,315},{10,10,798},{11,10,153},{12,10,151},{12,10,392 +},{12,10,666},{142,10,248},{7,0,241},{10,0,430},{8,10,548},{9,10,532},{10,10,117 +},{11,10,351},{11,10,375},{143,10,23},{134,10,1742},{133,10,965},{133,11,566},{6 +,11,48},{135,11,63},{134,10,182},{10,10,65},{10,10,488},{138,10,497},{6,11,114}, +{7,11,1224},{7,11,1556},{136,11,3},{134,0,1817},{8,11,576},{137,11,267},{6,0, +1078},{144,0,16},{9,10,588},{138,10,260},{138,0,1021},{5,0,406},{134,0,2022},{ +133,11,933},{6,0,69},{135,0,117},{7,0,1830},{136,11,427},{4,0,432},{135,0,824},{ +134,10,1786},{133,0,826},{139,11,67},{133,11,759},{135,10,308},{137,0,816},{133, +0,1000},{4,0,297},{6,0,529},{7,0,152},{7,0,713},{7,0,1845},{8,0,710},{8,0,717},{ +12,0,639},{140,0,685},{7,0,423},{136,10,588},{136,10,287},{136,0,510},{134,0, +1048},{6,0,618},{7,11,56},{7,11,1989},{8,11,337},{8,11,738},{9,11,600},{10,11, +483},{12,11,37},{13,11,447},{142,11,92},{4,0,520},{135,0,575},{8,0,990},{138,0, +977},{135,11,774},{9,11,347},{11,11,24},{140,11,170},{136,11,379},{140,10,290},{ +132,11,328},{4,0,321},{134,0,569},{4,11,101},{135,11,1171},{7,0,723},{7,0,1135}, +{5,11,833},{136,11,744},{7,10,719},{8,10,809},{136,10,834},{8,0,921},{136,10,796 +},{5,10,210},{6,10,213},{7,10,60},{10,10,364},{139,10,135},{5,0,397},{6,0,154},{ +7,0,676},{8,0,443},{8,0,609},{9,0,24},{9,0,325},{10,0,35},{11,0,535},{11,0,672}, +{11,0,1018},{12,0,637},{16,0,30},{5,10,607},{8,10,326},{136,10,490},{4,10,701},{ +5,10,472},{6,11,9},{6,11,397},{7,11,53},{7,11,1742},{9,10,758},{10,11,632},{11, +11,828},{140,11,146},{135,10,380},{135,10,1947},{148,11,109},{10,10,278},{138,11 +,278},{134,0,856},{7,0,139},{4,10,386},{8,10,405},{8,10,728},{9,10,497},{11,10, +110},{11,10,360},{15,10,37},{144,10,84},{141,0,282},{133,0,981},{5,0,288},{7,10, +1452},{7,10,1480},{8,10,634},{140,10,472},{7,0,1890},{8,11,367},{10,11,760},{14, +11,79},{20,11,17},{152,11,0},{4,10,524},{136,10,810},{4,0,56},{7,0,1791},{8,0, +607},{8,0,651},{11,0,465},{11,0,835},{12,0,337},{141,0,480},{10,10,238},{141,10, +33},{11,11,417},{12,11,223},{140,11,265},{9,0,158},{10,0,411},{140,0,261},{133, +10,532},{133,10,997},{12,11,186},{12,11,292},{14,11,100},{146,11,70},{6,0,1403}, +{136,0,617},{134,0,1205},{139,0,563},{4,0,242},{134,0,333},{4,11,186},{5,11,157} +,{8,11,168},{138,11,6},{132,0,369},{133,11,875},{5,10,782},{5,10,829},{134,10, +1738},{134,0,622},{135,11,1272},{6,0,1407},{7,11,111},{136,11,581},{7,10,1823},{ +139,10,693},{7,0,160},{10,0,624},{142,0,279},{132,0,363},{10,11,589},{12,11,111} +,{13,11,260},{14,11,82},{18,11,63},{147,11,45},{7,11,1364},{7,11,1907},{141,11, +158},{4,11,404},{4,11,659},{135,11,675},{13,11,211},{14,11,133},{14,11,204},{15, +11,64},{15,11,69},{15,11,114},{16,11,10},{19,11,23},{19,11,35},{19,11,39},{19,11 +,51},{19,11,71},{19,11,75},{152,11,15},{4,10,78},{5,10,96},{5,10,182},{7,10,1724 +},{7,10,1825},{10,10,394},{10,10,471},{11,10,532},{14,10,340},{145,10,88},{135, +10,1964},{133,11,391},{11,11,887},{14,11,365},{142,11,375},{5,11,540},{6,11,1697 +},{7,11,222},{136,11,341},{134,11,78},{9,0,601},{9,0,619},{10,0,505},{10,0,732}, +{11,0,355},{140,0,139},{134,0,292},{139,0,174},{5,0,177},{6,0,616},{7,0,827},{9, +0,525},{138,0,656},{10,0,31},{6,10,215},{7,10,1028},{7,10,1473},{7,10,1721},{9, +10,424},{138,10,779},{135,10,584},{136,11,293},{134,0,685},{135,11,1868},{133,11 +,460},{7,0,647},{6,10,67},{7,10,1630},{9,10,354},{9,10,675},{10,10,830},{14,10, +80},{145,10,80},{4,0,161},{133,0,631},{6,10,141},{7,10,225},{9,10,59},{9,10,607} +,{10,10,312},{11,10,687},{12,10,555},{13,10,373},{13,10,494},{148,10,58},{7,11, +965},{7,11,1460},{135,11,1604},{136,10,783},{134,11,388},{6,0,722},{6,0,1267},{4 +,11,511},{9,11,333},{9,11,379},{10,11,602},{11,11,441},{11,11,723},{11,11,976},{ +140,11,357},{134,0,1797},{135,0,1684},{9,0,469},{9,0,709},{12,0,512},{14,0,65},{ +17,0,12},{5,11,938},{136,11,707},{7,0,1230},{136,0,531},{10,0,229},{11,0,73},{11 +,0,376},{139,0,433},{12,0,268},{12,0,640},{142,0,119},{7,10,430},{139,10,46},{6, +0,558},{7,0,651},{8,0,421},{9,0,0},{10,0,34},{139,0,1008},{6,0,106},{7,0,1786},{ +7,0,1821},{9,0,102},{9,0,763},{5,10,602},{7,10,2018},{137,10,418},{5,0,65},{6,0, +416},{7,0,1720},{7,0,1924},{10,0,109},{11,0,14},{11,0,70},{11,0,569},{11,0,735}, +{15,0,153},{20,0,80},{136,10,677},{135,11,1625},{137,11,772},{136,0,595},{6,11, +469},{7,11,1709},{138,11,515},{7,0,1832},{138,0,374},{9,0,106},{9,0,163},{9,0, +296},{10,0,167},{10,0,172},{10,0,777},{139,0,16},{6,0,6},{7,0,81},{7,0,771},{7,0 +,1731},{9,0,405},{138,0,421},{4,11,500},{135,11,938},{5,11,68},{134,11,383},{5,0 +,881},{133,0,885},{6,0,854},{6,0,1132},{6,0,1495},{6,0,1526},{6,0,1533},{134,0, +1577},{4,11,337},{6,11,353},{7,11,1934},{8,11,488},{137,11,429},{7,11,236},{7,11 +,1795},{8,11,259},{9,11,135},{9,11,177},{10,11,825},{11,11,115},{11,11,370},{11, +11,405},{11,11,604},{12,11,10},{12,11,667},{12,11,669},{13,11,76},{14,11,310},{ +15,11,76},{15,11,147},{148,11,23},{5,0,142},{134,0,546},{4,11,15},{5,11,22},{6, +11,244},{7,11,40},{7,11,200},{7,11,906},{7,11,1199},{9,11,616},{10,11,716},{11, +11,635},{11,11,801},{140,11,458},{5,0,466},{11,0,571},{12,0,198},{13,0,283},{14, +0,186},{15,0,21},{15,0,103},{135,10,329},{4,0,185},{5,0,257},{5,0,839},{5,0,936} +,{9,0,399},{10,0,258},{10,0,395},{10,0,734},{11,0,1014},{12,0,23},{13,0,350},{14 +,0,150},{19,0,6},{135,11,1735},{12,11,36},{141,11,337},{5,11,598},{7,11,791},{8, +11,108},{137,11,123},{132,10,469},{7,0,404},{7,0,1377},{7,0,1430},{7,0,2017},{8, +0,149},{8,0,239},{8,0,512},{8,0,793},{8,0,818},{9,0,474},{9,0,595},{10,0,122},{ +10,0,565},{10,0,649},{10,0,783},{11,0,239},{11,0,295},{11,0,447},{11,0,528},{11, +0,639},{11,0,800},{12,0,25},{12,0,77},{12,0,157},{12,0,256},{12,0,316},{12,0,390 +},{12,0,391},{12,0,395},{12,0,478},{12,0,503},{12,0,592},{12,0,680},{13,0,50},{ +13,0,53},{13,0,132},{13,0,198},{13,0,322},{13,0,415},{13,0,511},{14,0,71},{14,0, +395},{15,0,71},{15,0,136},{17,0,123},{18,0,93},{147,0,58},{136,0,712},{134,10, +1743},{5,10,929},{6,10,340},{8,10,376},{136,10,807},{6,0,1848},{8,0,860},{10,0, +856},{10,0,859},{10,0,925},{10,0,941},{140,0,762},{6,0,629},{6,0,906},{9,0,810}, +{140,0,652},{5,10,218},{7,10,1610},{138,10,83},{7,10,1512},{135,10,1794},{4,0, +377},{24,0,13},{4,11,155},{7,11,1689},{11,10,0},{144,10,78},{4,11,164},{5,11,151 +},{5,11,730},{5,11,741},{7,11,498},{7,11,870},{7,11,1542},{12,11,213},{14,11,36} +,{14,11,391},{17,11,111},{18,11,6},{18,11,46},{18,11,151},{19,11,36},{20,11,32}, +{20,11,56},{20,11,69},{20,11,102},{21,11,4},{22,11,8},{22,11,10},{22,11,14},{150 +,11,31},{7,0,1842},{133,10,571},{4,10,455},{4,11,624},{135,11,1752},{134,0,1501} +,{4,11,492},{5,11,451},{6,10,161},{7,10,372},{137,10,597},{132,10,349},{4,0,180} +,{135,0,1906},{135,11,835},{141,11,70},{132,0,491},{137,10,751},{6,10,432},{139, +10,322},{4,0,171},{138,0,234},{6,11,113},{135,11,436},{4,0,586},{7,0,1186},{138, +0,631},{5,10,468},{10,10,325},{11,10,856},{12,10,345},{143,10,104},{5,10,223},{ +10,11,592},{10,11,753},{12,11,317},{12,11,355},{12,11,465},{12,11,469},{12,11, +560},{12,11,578},{141,11,243},{132,10,566},{135,11,520},{4,10,59},{135,10,1394}, +{6,10,436},{139,10,481},{9,0,931},{10,0,334},{20,0,71},{4,10,48},{5,10,271},{7, +10,953},{135,11,1878},{11,0,170},{5,10,610},{136,10,457},{133,10,755},{6,0,1587} +,{135,10,1217},{4,10,197},{149,11,26},{133,11,585},{137,11,521},{133,0,765},{133 +,10,217},{139,11,586},{133,0,424},{9,11,752},{12,11,610},{13,11,431},{16,11,59}, +{146,11,109},{136,0,714},{7,0,685},{132,11,307},{9,0,420},{10,0,269},{10,0,285}, +{10,0,576},{11,0,397},{13,0,175},{145,0,90},{132,0,429},{133,11,964},{9,11,463}, +{138,11,595},{7,0,18},{7,0,699},{7,0,1966},{8,0,752},{9,0,273},{9,0,412},{9,0, +703},{10,0,71},{10,0,427},{138,0,508},{4,10,165},{7,10,1398},{135,10,1829},{4,0, +53},{5,0,186},{7,0,752},{7,0,828},{142,0,116},{8,0,575},{10,0,289},{139,0,319},{ +132,0,675},{134,0,1424},{4,11,75},{5,11,180},{6,11,500},{7,11,58},{7,11,710},{ +138,11,645},{133,11,649},{6,11,276},{7,11,282},{7,11,879},{7,11,924},{8,11,459}, +{9,11,599},{9,11,754},{11,11,574},{12,11,128},{12,11,494},{13,11,52},{13,11,301} +,{15,11,30},{143,11,132},{6,0,647},{134,0,1095},{5,10,9},{7,10,297},{7,10,966},{ +140,10,306},{132,11,200},{134,0,1334},{5,10,146},{6,10,411},{138,10,721},{6,0, +209},{6,0,1141},{6,0,1288},{8,0,468},{9,0,210},{11,0,36},{12,0,28},{12,0,630},{ +13,0,21},{13,0,349},{14,0,7},{145,0,13},{6,10,177},{135,10,467},{4,0,342},{135,0 +,1179},{10,11,454},{140,11,324},{4,0,928},{133,0,910},{7,0,1838},{6,11,225},{137 +,11,211},{16,0,101},{20,0,115},{20,0,118},{148,0,122},{4,0,496},{135,0,856},{4,0 +,318},{11,0,654},{7,11,718},{139,11,102},{8,11,58},{9,11,724},{11,11,809},{13,11 +,113},{145,11,72},{5,10,200},{6,11,345},{135,11,1247},{8,11,767},{8,11,803},{9, +11,301},{137,11,903},{7,0,915},{8,0,247},{19,0,0},{7,11,1949},{136,11,674},{4,0, +202},{5,0,382},{6,0,454},{7,0,936},{7,0,1803},{8,0,758},{9,0,375},{9,0,895},{10, +0,743},{10,0,792},{11,0,978},{11,0,1012},{142,0,109},{7,0,1150},{7,0,1425},{7,0, +1453},{140,0,513},{134,11,259},{138,0,791},{11,0,821},{12,0,110},{12,0,153},{18, +0,41},{150,0,19},{134,10,481},{132,0,796},{6,0,445},{9,0,909},{136,11,254},{10,0 +,776},{13,0,345},{142,0,425},{4,10,84},{7,10,1482},{10,10,76},{138,10,142},{135, +11,742},{6,0,578},{133,10,1015},{6,0,1387},{4,10,315},{5,10,507},{135,10,1370},{ +4,0,438},{133,0,555},{136,0,766},{133,11,248},{134,10,1722},{4,11,116},{5,11,95} +,{5,11,445},{7,11,1688},{8,11,29},{9,11,272},{11,11,509},{139,11,915},{135,0,541 +},{133,11,543},{8,10,222},{8,10,476},{9,10,238},{11,10,516},{11,10,575},{15,10, +109},{146,10,100},{6,0,880},{134,0,1191},{5,11,181},{136,11,41},{134,0,1506},{ +132,11,681},{7,11,25},{8,11,202},{138,11,536},{139,0,983},{137,0,768},{132,0,584 +},{9,11,423},{140,11,89},{8,11,113},{9,11,877},{10,11,554},{11,11,83},{12,11,136 +},{147,11,109},{7,10,706},{7,10,1058},{138,10,538},{133,11,976},{4,11,206},{135, +11,746},{136,11,526},{140,0,737},{11,10,92},{11,10,196},{11,10,409},{11,10,450}, +{11,10,666},{11,10,777},{12,10,262},{13,10,385},{13,10,393},{15,10,115},{16,10, +45},{145,10,82},{4,0,226},{4,0,326},{7,0,1770},{4,11,319},{5,11,699},{138,11,673 +},{6,10,40},{135,10,1781},{5,0,426},{8,0,30},{9,0,2},{11,0,549},{147,0,122},{6,0 +,1161},{134,0,1329},{138,10,97},{6,10,423},{7,10,665},{135,10,1210},{7,11,13},{8 +,11,226},{10,11,537},{11,11,570},{11,11,605},{11,11,799},{11,11,804},{12,11,85}, +{12,11,516},{12,11,623},{13,11,112},{13,11,361},{14,11,77},{14,11,78},{17,11,28} +,{147,11,110},{132,11,769},{132,11,551},{132,11,728},{147,0,117},{9,11,57},{9,11 +,459},{10,11,425},{11,11,119},{12,11,184},{12,11,371},{13,11,358},{145,11,51},{5 +,11,188},{5,11,814},{8,11,10},{9,11,421},{9,11,729},{10,11,609},{139,11,689},{ +134,11,624},{135,11,298},{135,0,462},{4,0,345},{139,10,624},{136,10,574},{4,0, +385},{7,0,265},{135,0,587},{6,0,808},{132,11,528},{133,0,398},{132,10,354},{4,0, +347},{5,0,423},{5,0,996},{135,0,1329},{135,10,1558},{7,0,1259},{9,0,125},{139,0, +65},{5,0,136},{6,0,136},{136,0,644},{5,11,104},{6,11,173},{135,11,1631},{135,0, +469},{133,10,830},{4,0,278},{5,0,465},{135,0,1367},{7,11,810},{8,11,138},{8,11, +342},{9,11,84},{10,11,193},{11,11,883},{140,11,359},{5,10,496},{135,10,203},{4,0 +,433},{133,0,719},{6,11,95},{134,10,547},{5,10,88},{137,10,239},{6,11,406},{10, +11,409},{10,11,447},{11,11,44},{140,11,100},{134,0,1423},{7,10,650},{135,10,1310 +},{134,0,749},{135,11,1243},{135,0,1363},{6,0,381},{7,0,645},{7,0,694},{8,0,546} +,{7,10,1076},{9,10,80},{11,10,78},{11,10,421},{11,10,534},{140,10,545},{134,11, +1636},{135,11,1344},{12,0,277},{7,10,274},{11,10,479},{139,10,507},{6,0,705},{6, +0,783},{6,0,1275},{6,0,1481},{4,11,282},{7,11,1034},{11,11,398},{11,11,634},{12, +11,1},{12,11,79},{12,11,544},{14,11,237},{17,11,10},{146,11,20},{134,0,453},{4,0 +,555},{8,0,536},{10,0,288},{11,0,1005},{4,10,497},{135,10,1584},{5,11,118},{5,11 +,499},{6,11,476},{7,11,600},{7,11,888},{135,11,1096},{138,0,987},{7,0,1107},{7, +10,261},{7,10,1115},{7,10,1354},{7,10,1588},{7,10,1705},{7,10,1902},{9,10,465},{ +10,10,248},{10,10,349},{10,10,647},{11,10,527},{11,10,660},{11,10,669},{12,10, +529},{141,10,305},{7,11,296},{7,11,596},{8,11,560},{8,11,586},{9,11,612},{11,11, +100},{11,11,304},{12,11,46},{13,11,89},{14,11,112},{145,11,122},{9,0,370},{138,0 +,90},{136,10,13},{132,0,860},{7,10,642},{8,10,250},{11,10,123},{11,10,137},{13, +10,48},{142,10,95},{135,10,1429},{137,11,321},{132,0,257},{135,0,2031},{7,0,1768 +},{7,11,1599},{7,11,1723},{8,11,79},{8,11,106},{8,11,190},{8,11,302},{8,11,383}, +{9,11,119},{9,11,233},{9,11,298},{9,11,419},{9,11,471},{10,11,181},{10,11,406},{ +11,11,57},{11,11,85},{11,11,120},{11,11,177},{11,11,296},{11,11,382},{11,11,454} +,{11,11,758},{11,11,999},{12,11,27},{12,11,98},{12,11,131},{12,11,245},{12,11, +312},{12,11,446},{12,11,454},{13,11,25},{13,11,98},{13,11,426},{13,11,508},{14, +11,6},{14,11,163},{14,11,272},{14,11,277},{14,11,370},{15,11,95},{15,11,138},{15 +,11,167},{17,11,18},{17,11,38},{20,11,96},{149,11,32},{5,11,722},{134,11,1759},{ +145,11,16},{6,0,1071},{134,0,1561},{10,10,545},{140,10,301},{6,0,83},{6,0,1733}, +{135,0,1389},{4,0,835},{135,0,1818},{133,11,258},{4,10,904},{133,10,794},{134,0, +2006},{5,11,30},{7,11,495},{8,11,134},{9,11,788},{140,11,438},{135,11,2004},{137 +,0,696},{5,11,50},{6,11,439},{7,11,780},{135,11,1040},{7,11,772},{7,11,1104},{7, +11,1647},{11,11,269},{11,11,539},{11,11,607},{11,11,627},{11,11,706},{11,11,975} +,{12,11,248},{12,11,311},{12,11,434},{12,11,600},{12,11,622},{13,11,297},{13,11, +367},{13,11,485},{14,11,69},{14,11,409},{143,11,108},{5,11,1},{6,11,81},{138,11, +520},{7,0,1718},{9,0,95},{9,0,274},{10,0,279},{10,0,317},{10,0,420},{11,0,303},{ +11,0,808},{12,0,134},{12,0,367},{13,0,149},{13,0,347},{14,0,349},{14,0,406},{18, +0,22},{18,0,89},{18,0,122},{147,0,47},{5,11,482},{8,11,98},{9,11,172},{10,11,222 +},{10,11,700},{10,11,822},{11,11,302},{11,11,778},{12,11,50},{12,11,127},{12,11, +396},{13,11,62},{13,11,328},{14,11,122},{147,11,72},{7,10,386},{138,10,713},{6, +10,7},{6,10,35},{7,10,147},{7,10,1069},{7,10,1568},{7,10,1575},{7,10,1917},{8,10 +,43},{8,10,208},{9,10,128},{9,10,866},{10,10,20},{11,10,981},{147,10,33},{133,0, +26},{132,0,550},{5,11,2},{7,11,1494},{136,11,589},{6,11,512},{7,11,797},{8,11, +253},{9,11,77},{10,11,1},{10,11,129},{10,11,225},{11,11,118},{11,11,226},{11,11, +251},{11,11,430},{11,11,701},{11,11,974},{11,11,982},{12,11,64},{12,11,260},{12, +11,488},{140,11,690},{7,10,893},{141,10,424},{134,0,901},{136,0,822},{4,0,902},{ +5,0,809},{134,0,122},{6,0,807},{134,0,1366},{7,0,262},{5,11,748},{134,11,553},{ +133,0,620},{4,0,34},{5,0,574},{7,0,279},{7,0,1624},{136,0,601},{9,0,170},{6,10, +322},{9,10,552},{11,10,274},{13,10,209},{13,10,499},{14,10,85},{15,10,126},{145, +10,70},{132,0,537},{4,11,12},{7,11,420},{7,11,522},{7,11,809},{8,11,797},{141,11 +,88},{133,0,332},{8,10,83},{8,10,742},{8,10,817},{9,10,28},{9,10,29},{9,10,885}, +{10,10,387},{11,10,633},{11,10,740},{13,10,235},{13,10,254},{15,10,143},{143,10, +146},{6,0,1909},{9,0,964},{12,0,822},{12,0,854},{12,0,865},{12,0,910},{12,0,938} +,{15,0,169},{15,0,208},{15,0,211},{18,0,205},{18,0,206},{18,0,220},{18,0,223},{ +152,0,24},{140,10,49},{5,11,528},{135,11,1580},{6,0,261},{8,0,182},{139,0,943},{ +134,0,1721},{4,0,933},{133,0,880},{136,11,321},{5,11,266},{9,11,290},{9,11,364}, +{10,11,293},{11,11,606},{142,11,45},{6,0,1609},{4,11,50},{6,11,510},{6,11,594},{ +9,11,121},{10,11,49},{10,11,412},{139,11,834},{7,0,895},{136,11,748},{132,11,466 +},{4,10,110},{10,10,415},{10,10,597},{142,10,206},{133,0,812},{135,11,281},{6,0, +1890},{6,0,1902},{6,0,1916},{9,0,929},{9,0,942},{9,0,975},{9,0,984},{9,0,986},{9 +,0,1011},{9,0,1019},{12,0,804},{12,0,851},{12,0,867},{12,0,916},{12,0,923},{15,0 +,194},{15,0,204},{15,0,210},{15,0,222},{15,0,223},{15,0,229},{15,0,250},{18,0, +179},{18,0,186},{18,0,192},{7,10,205},{135,10,2000},{132,11,667},{135,0,778},{4, +0,137},{7,0,1178},{135,0,1520},{134,0,1314},{4,11,242},{134,11,333},{6,0,1661},{ +7,0,1975},{7,0,2009},{135,0,2011},{134,0,1591},{4,10,283},{135,10,1194},{11,0, +820},{150,0,51},{4,11,39},{5,11,36},{7,11,1843},{8,11,407},{11,11,144},{140,11, +523},{134,10,1720},{4,11,510},{7,11,29},{7,11,66},{7,11,1980},{10,11,487},{10,11 +,809},{146,11,9},{5,0,89},{7,0,1915},{9,0,185},{9,0,235},{10,0,64},{10,0,270},{ +10,0,403},{10,0,469},{10,0,529},{10,0,590},{11,0,140},{11,0,860},{13,0,1},{13,0, +422},{14,0,341},{14,0,364},{17,0,93},{18,0,113},{19,0,97},{147,0,113},{133,0,695 +},{6,0,987},{134,0,1160},{5,0,6},{6,0,183},{7,0,680},{7,0,978},{7,0,1013},{7,0, +1055},{12,0,230},{13,0,172},{146,0,29},{134,11,570},{132,11,787},{134,11,518},{6 +,0,29},{139,0,63},{132,11,516},{136,11,821},{132,0,311},{134,0,1740},{7,0,170},{ +8,0,90},{8,0,177},{8,0,415},{11,0,714},{14,0,281},{136,10,735},{134,0,1961},{135 +,11,1405},{4,11,10},{7,11,917},{139,11,786},{5,10,132},{9,10,486},{9,10,715},{10 +,10,458},{11,10,373},{11,10,668},{11,10,795},{11,10,897},{12,10,272},{12,10,424} +,{12,10,539},{12,10,558},{14,10,245},{14,10,263},{14,10,264},{14,10,393},{142,10 +,403},{11,0,91},{13,0,129},{15,0,101},{145,0,125},{135,0,1132},{4,0,494},{6,0,74 +},{7,0,44},{7,0,407},{12,0,17},{15,0,5},{148,0,11},{133,10,379},{5,0,270},{5,11, +684},{6,10,89},{6,10,400},{7,10,1569},{7,10,1623},{7,10,1850},{8,10,218},{8,10, +422},{9,10,570},{138,10,626},{4,0,276},{133,0,296},{6,0,1523},{134,11,27},{6,10, +387},{7,10,882},{141,10,111},{6,10,224},{7,10,877},{137,10,647},{135,10,790},{4, +0,7},{5,0,90},{5,0,158},{6,0,542},{7,0,221},{7,0,1574},{9,0,490},{10,0,540},{11, +0,443},{139,0,757},{7,0,588},{9,0,175},{138,0,530},{135,10,394},{142,11,23},{134 +,0,786},{135,0,580},{7,0,88},{136,0,627},{5,0,872},{6,0,57},{7,0,471},{9,0,447}, +{137,0,454},{6,11,342},{6,11,496},{8,11,275},{137,11,206},{4,11,909},{133,11,940 +},{6,0,735},{132,11,891},{8,0,845},{8,0,916},{135,10,1409},{5,0,31},{134,0,614}, +{11,0,458},{12,0,15},{140,0,432},{8,0,330},{140,0,477},{4,0,530},{5,0,521},{7,0, +1200},{10,0,460},{132,11,687},{6,0,424},{135,0,1866},{9,0,569},{12,0,12},{12,0, +81},{12,0,319},{13,0,69},{14,0,259},{16,0,87},{17,0,1},{17,0,21},{17,0,24},{18,0 +,15},{18,0,56},{18,0,59},{18,0,127},{18,0,154},{19,0,19},{148,0,31},{7,0,1302},{ +136,10,38},{134,11,253},{5,10,261},{7,10,78},{7,10,199},{8,10,815},{9,10,126},{ +138,10,342},{5,0,595},{135,0,1863},{6,11,41},{141,11,160},{5,0,13},{134,0,142},{ +6,0,97},{7,0,116},{8,0,322},{8,0,755},{9,0,548},{10,0,714},{11,0,884},{13,0,324} +,{7,11,1304},{138,11,477},{132,10,628},{134,11,1718},{7,10,266},{136,10,804},{ +135,10,208},{7,0,1021},{6,10,79},{135,10,1519},{7,0,1472},{135,0,1554},{6,11,362 +},{146,11,51},{7,0,1071},{7,0,1541},{7,0,1767},{7,0,1806},{11,0,162},{11,0,242}, +{11,0,452},{12,0,605},{15,0,26},{144,0,44},{136,10,741},{133,11,115},{145,0,115} +,{134,10,376},{6,0,1406},{134,0,1543},{5,11,193},{12,11,178},{13,11,130},{145,11 +,84},{135,0,1111},{8,0,1},{9,0,650},{10,0,326},{5,11,705},{137,11,606},{5,0,488} +,{6,0,527},{7,0,489},{7,0,1636},{8,0,121},{8,0,144},{8,0,359},{9,0,193},{9,0,241 +},{9,0,336},{9,0,882},{11,0,266},{11,0,372},{11,0,944},{12,0,401},{140,0,641},{ +135,11,174},{6,0,267},{7,10,244},{7,10,632},{7,10,1609},{8,10,178},{8,10,638},{ +141,10,58},{134,0,1983},{134,0,1155},{134,0,1575},{134,0,1438},{9,0,31},{10,0, +244},{10,0,699},{12,0,149},{141,0,497},{133,0,377},{4,11,122},{5,11,796},{5,11, +952},{6,11,1660},{6,11,1671},{8,11,567},{9,11,687},{9,11,742},{10,11,686},{11,11 +,356},{11,11,682},{140,11,281},{145,0,101},{11,11,0},{144,11,78},{5,11,179},{5, +10,791},{7,11,1095},{135,11,1213},{8,11,372},{9,11,122},{138,11,175},{7,10,686}, +{8,10,33},{8,10,238},{10,10,616},{11,10,467},{11,10,881},{13,10,217},{13,10,253} +,{142,10,268},{9,0,476},{4,11,66},{7,11,722},{135,11,904},{7,11,352},{137,11,684 +},{135,0,2023},{135,0,1836},{132,10,447},{5,0,843},{144,0,35},{137,11,779},{141, +11,35},{4,10,128},{5,10,415},{6,10,462},{7,10,294},{7,10,578},{10,10,710},{139, +10,86},{132,0,554},{133,0,536},{136,10,587},{5,0,207},{9,0,79},{11,0,625},{145,0 +,7},{7,0,1371},{6,10,427},{138,10,692},{4,0,424},{4,10,195},{135,10,802},{8,0, +785},{133,11,564},{135,0,336},{4,0,896},{6,0,1777},{134,11,556},{137,11,103},{ +134,10,1683},{7,11,544},{8,11,719},{138,11,61},{138,10,472},{4,11,5},{5,11,498}, +{136,11,637},{7,0,750},{9,0,223},{11,0,27},{11,0,466},{12,0,624},{14,0,265},{146 +,0,61},{12,0,238},{18,0,155},{12,11,238},{146,11,155},{151,10,28},{133,11,927},{ +12,0,383},{5,10,3},{8,10,578},{9,10,118},{10,10,705},{141,10,279},{4,11,893},{5, +11,780},{133,11,893},{4,0,603},{133,0,661},{4,0,11},{6,0,128},{7,0,231},{7,0, +1533},{10,0,725},{5,10,229},{5,11,238},{135,11,1350},{8,10,102},{10,10,578},{10, +10,672},{12,10,496},{13,10,408},{14,10,121},{145,10,106},{132,0,476},{134,0,1552 +},{134,11,1729},{8,10,115},{8,10,350},{9,10,489},{10,10,128},{11,10,306},{12,10, +373},{14,10,30},{17,10,79},{19,10,80},{150,10,55},{135,0,1807},{4,0,680},{4,11, +60},{7,11,760},{7,11,1800},{8,11,314},{9,11,700},{139,11,487},{4,10,230},{5,10, +702},{148,11,94},{132,11,228},{139,0,435},{9,0,20},{10,0,324},{10,0,807},{139,0, +488},{6,10,1728},{136,11,419},{4,10,484},{18,10,26},{19,10,42},{20,10,43},{21,10 +,0},{23,10,27},{152,10,14},{135,0,1431},{133,11,828},{5,0,112},{6,0,103},{6,0, +150},{7,0,1303},{9,0,292},{10,0,481},{20,0,13},{7,11,176},{7,11,178},{7,11,1110} +,{10,11,481},{148,11,13},{138,0,356},{4,11,51},{5,11,39},{6,11,4},{7,11,591},{7, +11,849},{7,11,951},{7,11,1129},{7,11,1613},{7,11,1760},{7,11,1988},{9,11,434},{ +10,11,754},{11,11,25},{11,11,37},{139,11,414},{6,0,1963},{134,0,2000},{132,10, +633},{6,0,1244},{133,11,902},{135,11,928},{140,0,18},{138,0,204},{135,11,1173},{ +134,0,867},{4,0,708},{8,0,15},{9,0,50},{9,0,386},{11,0,18},{11,0,529},{140,0,228 +},{134,11,270},{4,0,563},{7,0,109},{7,0,592},{7,0,637},{7,0,770},{8,0,463},{9,0, +60},{9,0,335},{9,0,904},{10,0,73},{11,0,434},{12,0,585},{13,0,331},{18,0,110},{ +148,0,60},{132,0,502},{14,11,359},{19,11,52},{148,11,47},{6,11,377},{7,11,1025}, +{9,11,613},{145,11,104},{6,0,347},{10,0,161},{5,10,70},{5,10,622},{6,10,334},{7, +10,1032},{9,10,171},{11,10,26},{11,10,213},{11,10,637},{11,10,707},{12,10,202},{ +12,10,380},{13,10,226},{13,10,355},{14,10,222},{145,10,42},{132,11,416},{4,0,33} +,{5,0,102},{6,0,284},{7,0,1079},{7,0,1423},{7,0,1702},{8,0,470},{9,0,554},{9,0, +723},{11,0,333},{142,11,372},{5,11,152},{5,11,197},{7,11,340},{7,11,867},{10,11, +548},{10,11,581},{11,11,6},{12,11,3},{12,11,19},{14,11,110},{142,11,289},{7,0, +246},{135,0,840},{6,0,10},{8,0,571},{9,0,739},{143,0,91},{6,0,465},{7,0,1465},{4 +,10,23},{4,10,141},{5,10,313},{5,10,1014},{6,10,50},{7,10,142},{7,10,559},{8,10, +640},{9,10,460},{9,10,783},{11,10,741},{12,10,183},{141,10,488},{133,0,626},{136 +,0,614},{138,0,237},{7,11,34},{7,11,190},{8,11,28},{8,11,141},{8,11,444},{8,11, +811},{9,11,468},{11,11,334},{12,11,24},{12,11,386},{140,11,576},{133,11,757},{5, +0,18},{6,0,526},{13,0,24},{13,0,110},{19,0,5},{147,0,44},{6,0,506},{134,11,506}, +{135,11,1553},{4,0,309},{5,0,462},{7,0,970},{7,0,1097},{22,0,30},{22,0,33},{7,11 +,1385},{11,11,582},{11,11,650},{11,11,901},{11,11,949},{12,11,232},{12,11,236},{ +13,11,413},{13,11,501},{146,11,116},{9,0,140},{5,10,222},{138,10,534},{6,0,1056} +,{137,10,906},{134,0,1704},{138,10,503},{134,0,1036},{5,10,154},{7,10,1491},{10, +10,379},{138,10,485},{4,11,383},{133,10,716},{134,0,1315},{5,0,86},{7,0,743},{9, +0,85},{10,0,281},{10,0,432},{11,0,825},{12,0,251},{13,0,118},{142,0,378},{8,0, +264},{4,10,91},{5,10,388},{5,10,845},{6,10,206},{6,10,252},{6,10,365},{7,10,136} +,{7,10,531},{136,10,621},{5,0,524},{133,0,744},{5,11,277},{141,11,247},{132,11, +435},{10,0,107},{140,0,436},{132,0,927},{10,0,123},{12,0,670},{146,0,94},{7,0, +1149},{9,0,156},{138,0,957},{5,11,265},{6,11,212},{135,11,28},{133,0,778},{133,0 +,502},{8,0,196},{10,0,283},{139,0,406},{135,10,576},{136,11,535},{134,0,1312},{5 +,10,771},{5,10,863},{5,10,898},{6,10,1632},{6,10,1644},{134,10,1780},{5,0,855},{ +5,10,331},{135,11,1487},{132,11,702},{5,11,808},{135,11,2045},{7,0,1400},{9,0, +446},{138,0,45},{140,10,632},{132,0,1003},{5,11,166},{8,11,739},{140,11,511},{5, +10,107},{7,10,201},{136,10,518},{6,10,446},{135,10,1817},{134,0,1532},{134,0, +1097},{4,11,119},{5,11,170},{5,11,447},{7,11,1708},{7,11,1889},{9,11,357},{9,11, +719},{12,11,486},{140,11,596},{9,10,851},{141,10,510},{7,0,612},{8,0,545},{8,0, +568},{8,0,642},{9,0,717},{10,0,541},{10,0,763},{11,0,449},{12,0,489},{13,0,153}, +{13,0,296},{14,0,138},{14,0,392},{15,0,50},{16,0,6},{16,0,12},{20,0,9},{132,10, +504},{4,11,450},{135,11,1158},{11,0,54},{13,0,173},{13,0,294},{5,10,883},{5,10, +975},{8,10,392},{148,10,7},{13,0,455},{15,0,99},{15,0,129},{144,0,68},{135,0,172 +},{132,11,754},{5,10,922},{134,10,1707},{134,0,1029},{17,11,39},{148,11,36},{4,0 +,568},{5,10,993},{7,10,515},{137,10,91},{132,0,732},{10,0,617},{138,11,617},{134 +,0,974},{7,0,989},{10,0,377},{12,0,363},{13,0,68},{13,0,94},{14,0,108},{142,0, +306},{136,0,733},{132,0,428},{7,0,1789},{135,11,1062},{7,0,2015},{140,0,665},{ +135,10,1433},{5,0,287},{7,10,921},{8,10,580},{8,10,593},{8,10,630},{138,10,28},{ +138,0,806},{4,10,911},{5,10,867},{5,10,1013},{7,10,2034},{8,10,798},{136,10,813} +,{134,0,1539},{8,11,523},{150,11,34},{135,11,740},{7,11,238},{7,11,2033},{8,11, +120},{8,11,188},{8,11,659},{9,11,598},{10,11,466},{12,11,342},{12,11,588},{13,11 +,503},{14,11,246},{143,11,92},{7,0,1563},{141,0,182},{5,10,135},{6,10,519},{7,10 +,1722},{10,10,271},{11,10,261},{145,10,54},{14,10,338},{148,10,81},{7,0,484},{4, +10,300},{133,10,436},{145,11,114},{6,0,1623},{134,0,1681},{133,11,640},{4,11,201 +},{7,11,1744},{8,11,602},{11,11,247},{11,11,826},{145,11,65},{8,11,164},{146,11, +62},{6,0,1833},{6,0,1861},{136,0,878},{134,0,1569},{8,10,357},{10,10,745},{14,10 +,426},{17,10,94},{147,10,57},{12,0,93},{12,0,501},{13,0,362},{14,0,151},{15,0,40 +},{15,0,59},{16,0,46},{17,0,25},{18,0,14},{18,0,134},{19,0,25},{19,0,69},{20,0, +16},{20,0,19},{20,0,66},{21,0,23},{21,0,25},{150,0,42},{6,0,1748},{8,0,715},{9,0 +,802},{10,0,46},{10,0,819},{13,0,308},{14,0,351},{14,0,363},{146,0,67},{132,0, +994},{4,0,63},{133,0,347},{132,0,591},{133,0,749},{7,11,1577},{10,11,304},{10,11 +,549},{11,11,424},{12,11,365},{13,11,220},{13,11,240},{142,11,33},{133,0,366},{7 +,0,557},{12,0,547},{14,0,86},{133,10,387},{135,0,1747},{132,11,907},{5,11,100},{ +10,11,329},{12,11,416},{149,11,29},{4,10,6},{5,10,708},{136,10,75},{7,10,1351},{ +9,10,581},{10,10,639},{11,10,453},{140,10,584},{7,0,89},{132,10,303},{138,10,772 +},{132,11,176},{5,11,636},{5,11,998},{8,11,26},{137,11,358},{7,11,9},{7,11,1508} +,{9,11,317},{10,11,210},{10,11,292},{10,11,533},{11,11,555},{12,11,526},{12,11, +607},{13,11,263},{13,11,459},{142,11,271},{134,0,1463},{6,0,772},{6,0,1137},{139 +,11,595},{7,0,977},{139,11,66},{138,0,893},{20,0,48},{148,11,48},{5,0,824},{133, +0,941},{134,11,295},{7,0,1543},{7,0,1785},{10,0,690},{4,10,106},{139,10,717},{7, +0,440},{8,0,230},{139,0,106},{5,10,890},{133,10,988},{6,10,626},{142,10,431},{10 +,11,127},{141,11,27},{17,0,32},{10,10,706},{150,10,44},{132,0,216},{137,0,332},{ +4,10,698},{136,11,119},{139,11,267},{138,10,17},{11,11,526},{11,11,939},{141,11, +290},{7,11,1167},{11,11,934},{13,11,391},{145,11,76},{139,11,39},{134,10,84},{4, +0,914},{5,0,800},{133,0,852},{10,0,416},{141,0,115},{7,0,564},{142,0,168},{4,0, +918},{133,0,876},{134,0,1764},{152,0,3},{4,0,92},{5,0,274},{7,11,126},{136,11,84 +},{140,10,498},{136,11,790},{8,0,501},{5,10,986},{6,10,130},{7,10,1582},{8,10, +458},{10,10,101},{10,10,318},{138,10,823},{6,11,64},{12,11,377},{141,11,309},{5, +0,743},{138,0,851},{4,0,49},{7,0,280},{135,0,1633},{134,0,879},{136,0,47},{7,10, +1644},{137,10,129},{132,0,865},{134,0,1202},{9,11,34},{139,11,484},{135,10,997}, +{5,0,272},{5,0,908},{5,0,942},{8,0,197},{9,0,47},{11,0,538},{139,0,742},{6,11, +1700},{7,11,26},{7,11,293},{7,11,382},{7,11,1026},{7,11,1087},{7,11,2027},{8,11, +24},{8,11,114},{8,11,252},{8,11,727},{8,11,729},{9,11,30},{9,11,199},{9,11,231}, +{9,11,251},{9,11,334},{9,11,361},{9,11,488},{9,11,712},{10,11,55},{10,11,60},{10 +,11,232},{10,11,332},{10,11,384},{10,11,396},{10,11,504},{10,11,542},{10,11,652} +,{11,11,20},{11,11,48},{11,11,207},{11,11,291},{11,11,298},{11,11,342},{11,11, +365},{11,11,394},{11,11,620},{11,11,705},{11,11,1017},{12,11,123},{12,11,340},{ +12,11,406},{12,11,643},{13,11,61},{13,11,269},{13,11,311},{13,11,319},{13,11,486 +},{14,11,234},{15,11,62},{15,11,85},{16,11,71},{18,11,119},{148,11,105},{6,0, +1455},{150,11,37},{135,10,1927},{135,0,1911},{137,0,891},{7,10,1756},{137,10,98} +,{7,10,1046},{139,10,160},{132,0,761},{6,11,379},{7,11,270},{7,11,1116},{8,11, +176},{8,11,183},{9,11,432},{9,11,661},{12,11,247},{12,11,617},{146,11,125},{6,10 +,45},{7,10,433},{8,10,129},{9,10,21},{10,10,392},{11,10,79},{12,10,499},{13,10, +199},{141,10,451},{4,0,407},{5,11,792},{133,11,900},{132,0,560},{135,0,183},{13, +0,490},{7,10,558},{136,10,353},{4,0,475},{6,0,731},{11,0,35},{13,0,71},{13,0,177 +},{14,0,422},{133,10,785},{8,10,81},{9,10,189},{9,10,201},{11,10,478},{11,10,712 +},{141,10,338},{4,0,418},{4,0,819},{133,10,353},{151,10,26},{4,11,901},{133,11, +776},{132,0,575},{7,0,818},{16,0,92},{17,0,14},{17,0,45},{18,0,75},{148,0,18},{6 +,0,222},{7,0,636},{7,0,1620},{8,0,409},{9,0,693},{139,0,77},{6,10,25},{7,10,855} +,{7,10,1258},{144,10,32},{6,0,1880},{6,0,1887},{6,0,1918},{6,0,1924},{9,0,967},{ +9,0,995},{9,0,1015},{12,0,826},{12,0,849},{12,0,857},{12,0,860},{12,0,886},{12,0 +,932},{18,0,228},{18,0,231},{146,0,240},{134,0,633},{134,0,1308},{4,11,37},{5,11 +,334},{135,11,1253},{10,0,86},{4,10,4},{7,10,1118},{7,10,1320},{7,10,1706},{8,10 +,277},{9,10,622},{11,10,724},{12,10,350},{12,10,397},{13,10,28},{13,10,159},{15, +10,89},{18,10,5},{19,10,9},{20,10,34},{150,10,47},{132,11,508},{137,11,448},{12, +11,107},{146,11,31},{132,0,817},{134,0,663},{133,0,882},{134,0,914},{132,11,540} +,{132,11,533},{136,11,608},{8,0,885},{138,0,865},{132,0,426},{6,0,58},{7,0,745}, +{7,0,1969},{8,0,399},{8,0,675},{9,0,479},{9,0,731},{10,0,330},{10,0,593},{10,0, +817},{11,0,32},{11,0,133},{11,0,221},{145,0,68},{134,10,255},{7,0,102},{137,0, +538},{137,10,216},{7,11,253},{136,11,549},{135,11,912},{9,10,183},{139,10,286},{ +11,10,956},{151,10,3},{8,11,527},{18,11,60},{147,11,24},{4,10,536},{7,10,1141},{ +10,10,723},{139,10,371},{133,11,920},{7,0,876},{135,10,285},{135,10,560},{132,10 +,690},{142,11,126},{11,10,33},{12,10,571},{149,10,1},{133,0,566},{9,0,139},{10,0 +,399},{11,0,469},{12,0,634},{13,0,223},{132,11,483},{6,0,48},{135,0,63},{18,0,12 +},{7,10,1862},{12,10,491},{12,10,520},{13,10,383},{142,10,244},{135,11,1665},{ +132,11,448},{9,11,495},{146,11,104},{6,0,114},{7,0,1224},{7,0,1556},{136,0,3},{4 +,10,190},{133,10,554},{8,0,576},{9,0,267},{133,10,1001},{133,10,446},{133,0,933} +,{139,11,1009},{8,11,653},{13,11,93},{147,11,14},{6,0,692},{6,0,821},{134,0,1077 +},{5,11,172},{135,11,801},{138,0,752},{4,0,375},{134,0,638},{134,0,1011},{140,11 +,540},{9,0,96},{133,11,260},{139,11,587},{135,10,1231},{12,0,30},{13,0,148},{14, +0,87},{14,0,182},{16,0,42},{20,0,70},{132,10,304},{6,0,1398},{7,0,56},{7,0,1989} +,{8,0,337},{8,0,738},{9,0,600},{12,0,37},{13,0,447},{142,0,92},{138,0,666},{5,0, +394},{7,0,487},{136,0,246},{9,0,437},{6,10,53},{6,10,199},{7,10,1408},{8,10,32}, +{8,10,93},{10,10,397},{10,10,629},{11,10,593},{11,10,763},{13,10,326},{145,10,35 +},{134,10,105},{9,0,320},{10,0,506},{138,10,794},{7,11,57},{8,11,167},{8,11,375} +,{9,11,82},{9,11,561},{10,11,620},{10,11,770},{11,10,704},{141,10,396},{6,0,1003 +},{5,10,114},{5,10,255},{141,10,285},{7,0,866},{135,0,1163},{133,11,531},{132,0, +328},{7,10,2035},{8,10,19},{9,10,89},{138,10,831},{8,11,194},{136,11,756},{136,0 +,1000},{5,11,453},{134,11,441},{4,0,101},{5,0,833},{7,0,1171},{136,0,744},{133,0 +,726},{136,10,746},{138,0,176},{6,0,9},{6,0,397},{7,0,53},{7,0,1742},{10,0,632}, +{11,0,828},{140,0,146},{135,11,22},{145,11,64},{132,0,839},{11,0,417},{12,0,223} +,{140,0,265},{4,11,102},{7,11,815},{7,11,1699},{139,11,964},{5,10,955},{136,10, +814},{6,0,1931},{6,0,2007},{18,0,246},{146,0,247},{8,0,198},{11,0,29},{140,0,534 +},{135,0,1771},{6,0,846},{7,11,1010},{11,11,733},{11,11,759},{12,11,563},{13,11, +34},{14,11,101},{18,11,45},{146,11,129},{4,0,186},{5,0,157},{8,0,168},{138,0,6}, +{132,11,899},{133,10,56},{148,10,100},{133,0,875},{5,0,773},{5,0,991},{6,0,1635} +,{134,0,1788},{6,0,1274},{9,0,477},{141,0,78},{4,0,639},{7,0,111},{8,0,581},{12, +0,177},{6,11,52},{9,11,104},{9,11,559},{10,10,4},{10,10,13},{11,10,638},{12,11, +308},{19,11,87},{148,10,57},{132,11,604},{4,11,301},{133,10,738},{133,10,758},{ +134,0,1747},{7,11,1440},{11,11,854},{11,11,872},{11,11,921},{12,11,551},{13,11, +472},{142,11,367},{7,0,1364},{7,0,1907},{141,0,158},{134,0,873},{4,0,404},{4,0, +659},{7,0,552},{135,0,675},{135,10,1112},{139,10,328},{7,11,508},{137,10,133},{ +133,0,391},{5,10,110},{6,10,169},{6,10,1702},{7,10,400},{8,10,538},{9,10,184},{9 +,10,524},{140,10,218},{6,11,310},{7,11,1849},{8,11,72},{8,11,272},{8,11,431},{9, +11,12},{9,11,351},{10,11,563},{10,11,630},{10,11,810},{11,11,367},{11,11,599},{ +11,11,686},{140,11,672},{5,0,540},{6,0,1697},{136,0,668},{132,0,883},{134,0,78}, +{12,0,628},{18,0,79},{6,10,133},{9,10,353},{139,10,993},{6,11,181},{7,11,537},{8 +,11,64},{9,11,127},{10,11,496},{12,11,510},{141,11,384},{6,10,93},{7,10,1422},{7 +,10,1851},{8,10,673},{9,10,529},{140,10,43},{137,10,371},{134,0,1460},{134,0,962 +},{4,11,244},{135,11,233},{9,10,25},{10,10,467},{138,10,559},{4,10,335},{135,10, +942},{133,0,460},{135,11,334},{134,11,1650},{4,0,199},{139,0,34},{5,10,601},{8, +10,39},{10,10,773},{11,10,84},{12,10,205},{142,10,1},{133,10,870},{134,0,388},{ +14,0,474},{148,0,120},{133,11,369},{139,0,271},{4,0,511},{9,0,333},{9,0,379},{10 +,0,602},{11,0,441},{11,0,723},{11,0,976},{12,0,357},{132,10,181},{134,0,608},{ +134,10,1652},{22,0,49},{137,11,338},{140,0,988},{134,0,617},{5,0,938},{136,0,707 +},{132,10,97},{5,10,147},{6,10,286},{7,10,1362},{141,10,176},{6,0,756},{134,0, +1149},{133,11,896},{6,10,375},{7,10,169},{7,10,254},{136,10,780},{134,0,1583},{ +135,10,1447},{139,0,285},{7,11,1117},{8,11,393},{136,11,539},{135,0,344},{6,0, +469},{7,0,1709},{138,0,515},{5,10,629},{135,10,1549},{5,11,4},{5,11,810},{6,11, +13},{6,11,538},{6,11,1690},{6,11,1726},{7,11,499},{7,11,1819},{8,11,148},{8,11, +696},{8,11,791},{12,11,125},{13,11,54},{143,11,9},{135,11,1268},{137,0,404},{132 +,0,500},{5,0,68},{134,0,383},{11,0,216},{139,0,340},{4,11,925},{5,11,803},{8,11, +698},{138,11,828},{4,0,337},{6,0,353},{7,0,1934},{8,0,488},{137,0,429},{7,0,236} +,{7,0,1795},{8,0,259},{9,0,135},{9,0,177},{9,0,860},{10,0,825},{11,0,115},{11,0, +370},{11,0,405},{11,0,604},{12,0,10},{12,0,667},{12,0,669},{13,0,76},{14,0,310}, +{15,0,76},{15,0,147},{148,0,23},{4,0,15},{4,0,490},{5,0,22},{6,0,244},{7,0,40},{ +7,0,200},{7,0,906},{7,0,1199},{9,0,616},{10,0,716},{11,0,635},{11,0,801},{140,0, +458},{12,0,756},{132,10,420},{134,0,1504},{6,0,757},{133,11,383},{6,0,1266},{135 +,0,1735},{5,0,598},{7,0,791},{8,0,108},{9,0,123},{7,10,1570},{140,10,542},{142, +11,410},{9,11,660},{138,11,347} +}; + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_STATIC_DICT_LUT_H_ */ diff --git a/modules/brotli/enc/utf8_util.c b/modules/brotli/enc/utf8_util.c new file mode 100644 index 0000000000..e802b6a751 --- /dev/null +++ b/modules/brotli/enc/utf8_util.c @@ -0,0 +1,85 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Heuristics for deciding about the UTF8-ness of strings. */ + +#include "./utf8_util.h" + +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +static size_t BrotliParseAsUTF8( + int* symbol, const uint8_t* input, size_t size) { + /* ASCII */ + if ((input[0] & 0x80) == 0) { + *symbol = input[0]; + if (*symbol > 0) { + return 1; + } + } + /* 2-byte UTF8 */ + if (size > 1u && + (input[0] & 0xE0) == 0xC0 && + (input[1] & 0xC0) == 0x80) { + *symbol = (((input[0] & 0x1F) << 6) | + (input[1] & 0x3F)); + if (*symbol > 0x7F) { + return 2; + } + } + /* 3-byte UFT8 */ + if (size > 2u && + (input[0] & 0xF0) == 0xE0 && + (input[1] & 0xC0) == 0x80 && + (input[2] & 0xC0) == 0x80) { + *symbol = (((input[0] & 0x0F) << 12) | + ((input[1] & 0x3F) << 6) | + (input[2] & 0x3F)); + if (*symbol > 0x7FF) { + return 3; + } + } + /* 4-byte UFT8 */ + if (size > 3u && + (input[0] & 0xF8) == 0xF0 && + (input[1] & 0xC0) == 0x80 && + (input[2] & 0xC0) == 0x80 && + (input[3] & 0xC0) == 0x80) { + *symbol = (((input[0] & 0x07) << 18) | + ((input[1] & 0x3F) << 12) | + ((input[2] & 0x3F) << 6) | + (input[3] & 0x3F)); + if (*symbol > 0xFFFF && *symbol <= 0x10FFFF) { + return 4; + } + } + /* Not UTF8, emit a special symbol above the UTF8-code space */ + *symbol = 0x110000 | input[0]; + return 1; +} + +/* Returns 1 if at least min_fraction of the data is UTF8-encoded.*/ +BROTLI_BOOL BrotliIsMostlyUTF8( + const uint8_t* data, const size_t pos, const size_t mask, + const size_t length, const double min_fraction) { + size_t size_utf8 = 0; + size_t i = 0; + while (i < length) { + int symbol; + size_t bytes_read = + BrotliParseAsUTF8(&symbol, &data[(pos + i) & mask], length - i); + i += bytes_read; + if (symbol < 0x110000) size_utf8 += bytes_read; + } + return TO_BROTLI_BOOL((double)size_utf8 > min_fraction * (double)length); +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif diff --git a/modules/brotli/enc/utf8_util.h b/modules/brotli/enc/utf8_util.h new file mode 100644 index 0000000000..8fda80c220 --- /dev/null +++ b/modules/brotli/enc/utf8_util.h @@ -0,0 +1,32 @@ +/* Copyright 2013 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Heuristics for deciding about the UTF8-ness of strings. */ + +#ifndef BROTLI_ENC_UTF8_UTIL_H_ +#define BROTLI_ENC_UTF8_UTIL_H_ + +#include "../common/platform.h" +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +static const double kMinUTF8Ratio = 0.75; + +/* Returns 1 if at least min_fraction of the bytes between pos and + pos + length in the (data, mask) ring-buffer is UTF8-encoded, otherwise + returns 0. */ +BROTLI_INTERNAL BROTLI_BOOL BrotliIsMostlyUTF8( + const uint8_t* data, const size_t pos, const size_t mask, + const size_t length, const double min_fraction); + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_UTF8_UTIL_H_ */ diff --git a/modules/brotli/enc/write_bits.h b/modules/brotli/enc/write_bits.h new file mode 100644 index 0000000000..f6f88b45be --- /dev/null +++ b/modules/brotli/enc/write_bits.h @@ -0,0 +1,87 @@ +/* Copyright 2010 Google Inc. All Rights Reserved. + + Distributed under MIT license. + See file LICENSE for detail or copy at https://opensource.org/licenses/MIT +*/ + +/* Write bits into a byte array. */ + +#ifndef BROTLI_ENC_WRITE_BITS_H_ +#define BROTLI_ENC_WRITE_BITS_H_ + +#include "../common/platform.h" +#include <brotli/types.h> + +#if defined(__cplusplus) || defined(c_plusplus) +extern "C" { +#endif + +/* This function writes bits into bytes in increasing addresses, and within + a byte least-significant-bit first. + + The function can write up to 56 bits in one go with WriteBits + Example: let's assume that 3 bits (Rs below) have been written already: + + BYTE-0 BYTE+1 BYTE+2 + + 0000 0RRR 0000 0000 0000 0000 + + Now, we could write 5 or less bits in MSB by just shifting by 3 + and OR'ing to BYTE-0. + + For n bits, we take the last 5 bits, OR that with high bits in BYTE-0, + and locate the rest in BYTE+1, BYTE+2, etc. */ +static BROTLI_INLINE void BrotliWriteBits(size_t n_bits, + uint64_t bits, + size_t* BROTLI_RESTRICT pos, + uint8_t* BROTLI_RESTRICT array) { + BROTLI_LOG(("WriteBits %2d 0x%08x%08x %10d\n", (int)n_bits, + (uint32_t)(bits >> 32), (uint32_t)(bits & 0xFFFFFFFF), + (int)*pos)); + BROTLI_DCHECK((bits >> n_bits) == 0); + BROTLI_DCHECK(n_bits <= 56); +#if defined(BROTLI_LITTLE_ENDIAN) + /* This branch of the code can write up to 56 bits at a time, + 7 bits are lost by being perhaps already in *p and at least + 1 bit is needed to initialize the bit-stream ahead (i.e. if 7 + bits are in *p and we write 57 bits, then the next write will + access a byte that was never initialized). */ + { + uint8_t* p = &array[*pos >> 3]; + uint64_t v = (uint64_t)(*p); /* Zero-extend 8 to 64 bits. */ + v |= bits << (*pos & 7); + BROTLI_UNALIGNED_STORE64LE(p, v); /* Set some bits. */ + *pos += n_bits; + } +#else + /* implicit & 0xFF is assumed for uint8_t arithmetics */ + { + uint8_t* array_pos = &array[*pos >> 3]; + const size_t bits_reserved_in_first_byte = (*pos & 7); + size_t bits_left_to_write; + bits <<= bits_reserved_in_first_byte; + *array_pos++ |= (uint8_t)bits; + for (bits_left_to_write = n_bits + bits_reserved_in_first_byte; + bits_left_to_write >= 9; + bits_left_to_write -= 8) { + bits >>= 8; + *array_pos++ = (uint8_t)bits; + } + *array_pos = 0; + *pos += n_bits; + } +#endif +} + +static BROTLI_INLINE void BrotliWriteBitsPrepareStorage( + size_t pos, uint8_t* array) { + BROTLI_LOG(("WriteBitsPrepareStorage %10d\n", (int)pos)); + BROTLI_DCHECK((pos & 7) == 0); + array[pos >> 3] = 0; +} + +#if defined(__cplusplus) || defined(c_plusplus) +} /* extern "C" */ +#endif + +#endif /* BROTLI_ENC_WRITE_BITS_H_ */ |