diff options
Diffstat (limited to 'src/test/isolation/specs/prepared-transactions.spec')
| -rw-r--r-- | src/test/isolation/specs/prepared-transactions.spec | 1507 |
1 files changed, 1507 insertions, 0 deletions
diff --git a/src/test/isolation/specs/prepared-transactions.spec b/src/test/isolation/specs/prepared-transactions.spec new file mode 100644 index 0000000..78b9d2c --- /dev/null +++ b/src/test/isolation/specs/prepared-transactions.spec @@ -0,0 +1,1507 @@ +# This test verifies that if there's a series of rw-conflicts +# s1 ---> s2 ---> s3, with s3 committing first +# at least one transaction will be aborted, regardless of the order in +# which the conflicts are detected and transactions prepare and +# commit. +# +# +# Tables test2 and test3 are used to create the +# s1 --> s2 and s2 --> s3 rw-dependencies respectively +# +# test1 isn't involved in the anomaly; s1 only inserts a row into it +# so that there's an easy way to tell (by looking for that row) if s1 +# successfully committed. +# +# force_snapshot is used to force s2 and s3 to take their snapshot +# immediately after BEGIN, so we can be sure the three transactions +# overlap. +setup +{ + CREATE TABLE test1 (a int); + CREATE TABLE test2 (b int); + CREATE TABLE test3 (c int); + CREATE TABLE force_snapshot (a int); +} + +teardown +{ + DROP TABLE test1; + DROP TABLE test2; + DROP TABLE test3; + DROP TABLE force_snapshot; +} + + +session s1 +setup { BEGIN ISOLATION LEVEL SERIALIZABLE; INSERT INTO test1 VALUES (1); } +step r1 { SELECT * FROM test2; } +step p1 { PREPARE TRANSACTION 's1'; } +step c1 { COMMIT PREPARED 's1'; } + +session s2 +setup { BEGIN ISOLATION LEVEL SERIALIZABLE; SELECT * FROM force_snapshot; } +step r2 { SELECT * FROM test3; } +step w2 { INSERT INTO test2 VALUES (2); } +step p2 { PREPARE TRANSACTION 's2'; } +step c2 { COMMIT PREPARED 's2'; } + +session s3 +setup { BEGIN ISOLATION LEVEL SERIALIZABLE; SELECT * FROM force_snapshot; } +step w3 { INSERT INTO test3 VALUES (3); } +step p3 { PREPARE TRANSACTION 's3'; } +step c3 { COMMIT PREPARED 's3'; } + +# When run at the end of the permutations below, this SELECT statement +# should never return any tuples, because at least one of the three +# transactions involved should be aborted. +session s4 +step check { SELECT * FROM test1,test2,test3; } + +# We run on all permutations of the statements above subject to the +# following constraints: +# - each transaction's reads/writes must happen before it prepares +# - each transaction must prepare before committing +# - s3 must be the first of the three transactions to commit +# ...which means that each permutation should fail. +# +# To bring the number of permutations down a bit, we further require +# them to satisfy *one* of the following: +# - r1 < w2 < r2 < w3 (T1-->T2 conflict on write, T2-->T3 on write) +# - r1 < w2 < w3 < r2 (T1-->T2 conflict on read, T2-->T3 on write) +# - w2 < r1 < r2 < w3 (T1-->T2 conflict on write, T2-->T3 on read) +# - w2 < r1 < w3 < r2 (T1-->T2 conflict on read, T2-->T3 on read) +# This eliminates some redundant combinations. For example, it doesn't +# matter if w2 happens before w3 as long as both come before the +# conflicting reads. +permutation r1 r2 w2 w3 p1 p2 p3 c3 c1 c2 check +permutation r1 r2 w2 w3 p1 p2 p3 c3 c2 c1 check +permutation r1 r2 w2 w3 p1 p3 p2 c3 c1 c2 check +permutation r1 r2 w2 w3 p1 p3 p2 c3 c2 c1 check +permutation r1 r2 w2 w3 p1 p3 c3 p2 c1 c2 check +permutation r1 r2 w2 w3 p1 p3 c3 p2 c2 c1 check +permutation r1 r2 w2 w3 p1 p3 c3 c1 p2 c2 check +permutation r1 r2 w2 w3 p2 p1 p3 c3 c1 c2 check +permutation r1 r2 w2 w3 p2 p1 p3 c3 c2 c1 check +permutation r1 r2 w2 w3 p2 p3 p1 c3 c1 c2 check +permutation r1 r2 w2 w3 p2 p3 p1 c3 c2 c1 check +permutation r1 r2 w2 w3 p2 p3 c3 p1 c1 c2 check +permutation r1 r2 w2 w3 p2 p3 c3 p1 c2 c1 check +permutation r1 r2 w2 w3 p2 p3 c3 c2 p1 c1 check +permutation r1 r2 w2 w3 p3 p1 p2 c3 c1 c2 check +permutation r1 r2 w2 w3 p3 p1 p2 c3 c2 c1 check +permutation r1 r2 w2 w3 p3 p1 c3 p2 c1 c2 check +permutation r1 r2 w2 w3 p3 p1 c3 p2 c2 c1 check +permutation r1 r2 w2 w3 p3 p1 c3 c1 p2 c2 check +permutation r1 r2 w2 w3 p3 p2 p1 c3 c1 c2 check +permutation r1 r2 w2 w3 p3 p2 p1 c3 c2 c1 check +permutation r1 r2 w2 w3 p3 p2 c3 p1 c1 c2 check +permutation r1 r2 w2 w3 p3 p2 c3 p1 c2 c1 check +permutation r1 r2 w2 w3 p3 p2 c3 c2 p1 c1 check +permutation r1 r2 w2 w3 p3 c3 p1 p2 c1 c2 check +permutation r1 r2 w2 w3 p3 c3 p1 p2 c2 c1 check +permutation r1 r2 w2 w3 p3 c3 p1 c1 p2 c2 check +permutation r1 r2 w2 w3 p3 c3 p2 p1 c1 c2 check +permutation r1 r2 w2 w3 p3 c3 p2 p1 c2 c1 check +permutation r1 r2 w2 w3 p3 c3 p2 c2 p1 c1 check +permutation r1 r2 w2 p1 w3 p2 p3 c3 c1 c2 check +permutation r1 r2 w2 p1 w3 p2 p3 c3 c2 c1 check +permutation r1 r2 w2 p1 w3 p3 p2 c3 c1 c2 check +permutation r1 r2 w2 p1 w3 p3 p2 c3 c2 c1 check +permutation r1 r2 w2 p1 w3 p3 c3 p2 c1 c2 check +permutation r1 r2 w2 p1 w3 p3 c3 p2 c2 c1 check +permutation r1 r2 w2 p1 w3 p3 c3 c1 p2 c2 check +permutation r1 r2 w2 p1 p2 w3 p3 c3 c1 c2 check +permutation r1 r2 w2 p1 p2 w3 p3 c3 c2 c1 check +permutation r1 r2 w2 p2 w3 p1 p3 c3 c1 c2 check +permutation r1 r2 w2 p2 w3 p1 p3 c3 c2 c1 check +permutation r1 r2 w2 p2 w3 p3 p1 c3 c1 c2 check +permutation r1 r2 w2 p2 w3 p3 p1 c3 c2 c1 check +permutation r1 r2 w2 p2 w3 p3 c3 p1 c1 c2 check +permutation r1 r2 w2 p2 w3 p3 c3 p1 c2 c1 check +permutation r1 r2 w2 p2 w3 p3 c3 c2 p1 c1 check +permutation r1 r2 w2 p2 p1 w3 p3 c3 c1 c2 check +permutation r1 r2 w2 p2 p1 w3 p3 c3 c2 c1 check +permutation r1 r2 p1 w2 w3 p2 p3 c3 c1 c2 check +permutation r1 r2 p1 w2 w3 p2 p3 c3 c2 c1 check +permutation r1 r2 p1 w2 w3 p3 p2 c3 c1 c2 check +permutation r1 r2 p1 w2 w3 p3 p2 c3 c2 c1 check +permutation r1 r2 p1 w2 w3 p3 c3 p2 c1 c2 check +permutation r1 r2 p1 w2 w3 p3 c3 p2 c2 c1 check +permutation r1 r2 p1 w2 w3 p3 c3 c1 p2 c2 check +permutation r1 r2 p1 w2 p2 w3 p3 c3 c1 c2 check +permutation r1 r2 p1 w2 p2 w3 p3 c3 c2 c1 check +permutation r1 w2 w3 r2 p1 p2 p3 c3 c1 c2 check +permutation r1 w2 w3 r2 p1 p2 p3 c3 c2 c1 check +permutation r1 w2 w3 r2 p1 p3 p2 c3 c1 c2 check +permutation r1 w2 w3 r2 p1 p3 p2 c3 c2 c1 check +permutation r1 w2 w3 r2 p1 p3 c3 p2 c1 c2 check +permutation r1 w2 w3 r2 p1 p3 c3 p2 c2 c1 check +permutation r1 w2 w3 r2 p1 p3 c3 c1 p2 c2 check +permutation r1 w2 w3 r2 p2 p1 p3 c3 c1 c2 check +permutation r1 w2 w3 r2 p2 p1 p3 c3 c2 c1 check +permutation r1 w2 w3 r2 p2 p3 p1 c3 c1 c2 check +permutation r1 w2 w3 r2 p2 p3 p1 c3 c2 c1 check +permutation r1 w2 w3 r2 p2 p3 c3 p1 c1 c2 check +permutation r1 w2 w3 r2 p2 p3 c3 p1 c2 c1 check +permutation r1 w2 w3 r2 p2 p3 c3 c2 p1 c1 check +permutation r1 w2 w3 r2 p3 p1 p2 c3 c1 c2 check +permutation r1 w2 w3 r2 p3 p1 p2 c3 c2 c1 check +permutation r1 w2 w3 r2 p3 p1 c3 p2 c1 c2 check +permutation r1 w2 w3 r2 p3 p1 c3 p2 c2 c1 check +permutation r1 w2 w3 r2 p3 p1 c3 c1 p2 c2 check +permutation r1 w2 w3 r2 p3 p2 p1 c3 c1 c2 check +permutation r1 w2 w3 r2 p3 p2 p1 c3 c2 c1 check +permutation r1 w2 w3 r2 p3 p2 c3 p1 c1 c2 check +permutation r1 w2 w3 r2 p3 p2 c3 p1 c2 c1 check +permutation r1 w2 w3 r2 p3 p2 c3 c2 p1 c1 check +permutation r1 w2 w3 r2 p3 c3 p1 p2 c1 c2 check +permutation r1 w2 w3 r2 p3 c3 p1 p2 c2 c1 check +permutation r1 w2 w3 r2 p3 c3 p1 c1 p2 c2 check +permutation r1 w2 w3 r2 p3 c3 p2 p1 c1 c2 check +permutation r1 w2 w3 r2 p3 c3 p2 p1 c2 c1 check +permutation r1 w2 w3 r2 p3 c3 p2 c2 p1 c1 check +permutation r1 w2 w3 p1 r2 p2 p3 c3 c1 c2 check +permutation r1 w2 w3 p1 r2 p2 p3 c3 c2 c1 check +permutation r1 w2 w3 p1 r2 p3 p2 c3 c1 c2 check +permutation r1 w2 w3 p1 r2 p3 p2 c3 c2 c1 check +permutation r1 w2 w3 p1 r2 p3 c3 p2 c1 c2 check +permutation r1 w2 w3 p1 r2 p3 c3 p2 c2 c1 check +permutation r1 w2 w3 p1 r2 p3 c3 c1 p2 c2 check +permutation r1 w2 w3 p1 p3 r2 p2 c3 c1 c2 check +permutation r1 w2 w3 p1 p3 r2 p2 c3 c2 c1 check +permutation r1 w2 w3 p1 p3 r2 c3 p2 c1 c2 check +permutation r1 w2 w3 p1 p3 r2 c3 p2 c2 c1 check +permutation r1 w2 w3 p1 p3 r2 c3 c1 p2 c2 check +permutation r1 w2 w3 p1 p3 c3 r2 p2 c1 c2 check +permutation r1 w2 w3 p1 p3 c3 r2 p2 c2 c1 check +permutation r1 w2 w3 p1 p3 c3 r2 c1 p2 c2 check +permutation r1 w2 w3 p1 p3 c3 c1 r2 p2 c2 check +permutation r1 w2 w3 p3 r2 p1 p2 c3 c1 c2 check +permutation r1 w2 w3 p3 r2 p1 p2 c3 c2 c1 check +permutation r1 w2 w3 p3 r2 p1 c3 p2 c1 c2 check +permutation r1 w2 w3 p3 r2 p1 c3 p2 c2 c1 check +permutation r1 w2 w3 p3 r2 p1 c3 c1 p2 c2 check +permutation r1 w2 w3 p3 r2 p2 p1 c3 c1 c2 check +permutation r1 w2 w3 p3 r2 p2 p1 c3 c2 c1 check +permutation r1 w2 w3 p3 r2 p2 c3 p1 c1 c2 check +permutation r1 w2 w3 p3 r2 p2 c3 p1 c2 c1 check +permutation r1 w2 w3 p3 r2 p2 c3 c2 p1 c1 check +permutation r1 w2 w3 p3 r2 c3 p1 p2 c1 c2 check +permutation r1 w2 w3 p3 r2 c3 p1 p2 c2 c1 check +permutation r1 w2 w3 p3 r2 c3 p1 c1 p2 c2 check +permutation r1 w2 w3 p3 r2 c3 p2 p1 c1 c2 check +permutation r1 w2 w3 p3 r2 c3 p2 p1 c2 c1 check +permutation r1 w2 w3 p3 r2 c3 p2 c2 p1 c1 check +permutation r1 w2 w3 p3 p1 r2 p2 c3 c1 c2 check +permutation r1 w2 w3 p3 p1 r2 p2 c3 c2 c1 check +permutation r1 w2 w3 p3 p1 r2 c3 p2 c1 c2 check +permutation r1 w2 w3 p3 p1 r2 c3 p2 c2 c1 check +permutation r1 w2 w3 p3 p1 r2 c3 c1 p2 c2 check +permutation r1 w2 w3 p3 p1 c3 r2 p2 c1 c2 check +permutation r1 w2 w3 p3 p1 c3 r2 p2 c2 c1 check +permutation r1 w2 w3 p3 p1 c3 r2 c1 p2 c2 check +permutation r1 w2 w3 p3 p1 c3 c1 r2 p2 c2 check +permutation r1 w2 w3 p3 c3 r2 p1 p2 c1 c2 check +permutation r1 w2 w3 p3 c3 r2 p1 p2 c2 c1 check +permutation r1 w2 w3 p3 c3 r2 p1 c1 p2 c2 check +permutation r1 w2 w3 p3 c3 r2 p2 p1 c1 c2 check +permutation r1 w2 w3 p3 c3 r2 p2 p1 c2 c1 check +permutation r1 w2 w3 p3 c3 r2 p2 c2 p1 c1 check +permutation r1 w2 w3 p3 c3 p1 r2 p2 c1 c2 check +permutation r1 w2 w3 p3 c3 p1 r2 p2 c2 c1 check +permutation r1 w2 w3 p3 c3 p1 r2 c1 p2 c2 check +permutation r1 w2 w3 p3 c3 p1 c1 r2 p2 c2 check +permutation r1 w2 p1 w3 r2 p2 p3 c3 c1 c2 check +permutation r1 w2 p1 w3 r2 p2 p3 c3 c2 c1 check +permutation r1 w2 p1 w3 r2 p3 p2 c3 c1 c2 check +permutation r1 w2 p1 w3 r2 p3 p2 c3 c2 c1 check +permutation r1 w2 p1 w3 r2 p3 c3 p2 c1 c2 check +permutation r1 w2 p1 w3 r2 p3 c3 p2 c2 c1 check +permutation r1 w2 p1 w3 r2 p3 c3 c1 p2 c2 check +permutation r1 w2 p1 w3 p3 r2 p2 c3 c1 c2 check +permutation r1 w2 p1 w3 p3 r2 p2 c3 c2 c1 check +permutation r1 w2 p1 w3 p3 r2 c3 p2 c1 c2 check +permutation r1 w2 p1 w3 p3 r2 c3 p2 c2 c1 check +permutation r1 w2 p1 w3 p3 r2 c3 c1 p2 c2 check +permutation r1 w2 p1 w3 p3 c3 r2 p2 c1 c2 check +permutation r1 w2 p1 w3 p3 c3 r2 p2 c2 c1 check +permutation r1 w2 p1 w3 p3 c3 r2 c1 p2 c2 check +permutation r1 w2 p1 w3 p3 c3 c1 r2 p2 c2 check +permutation r1 w3 r2 w2 p1 p2 p3 c3 c1 c2 check +permutation r1 w3 r2 w2 p1 p2 p3 c3 c2 c1 check +permutation r1 w3 r2 w2 p1 p3 p2 c3 c1 c2 check +permutation r1 w3 r2 w2 p1 p3 p2 c3 c2 c1 check +permutation r1 w3 r2 w2 p1 p3 c3 p2 c1 c2 check +permutation r1 w3 r2 w2 p1 p3 c3 p2 c2 c1 check +permutation r1 w3 r2 w2 p1 p3 c3 c1 p2 c2 check +permutation r1 w3 r2 w2 p2 p1 p3 c3 c1 c2 check +permutation r1 w3 r2 w2 p2 p1 p3 c3 c2 c1 check +permutation r1 w3 r2 w2 p2 p3 p1 c3 c1 c2 check +permutation r1 w3 r2 w2 p2 p3 p1 c3 c2 c1 check +permutation r1 w3 r2 w2 p2 p3 c3 p1 c1 c2 check +permutation r1 w3 r2 w2 p2 p3 c3 p1 c2 c1 check +permutation r1 w3 r2 w2 p2 p3 c3 c2 p1 c1 check +permutation r1 w3 r2 w2 p3 p1 p2 c3 c1 c2 check +permutation r1 w3 r2 w2 p3 p1 p2 c3 c2 c1 check +permutation r1 w3 r2 w2 p3 p1 c3 p2 c1 c2 check +permutation r1 w3 r2 w2 p3 p1 c3 p2 c2 c1 check +permutation r1 w3 r2 w2 p3 p1 c3 c1 p2 c2 check +permutation r1 w3 r2 w2 p3 p2 p1 c3 c1 c2 check +permutation r1 w3 r2 w2 p3 p2 p1 c3 c2 c1 check +permutation r1 w3 r2 w2 p3 p2 c3 p1 c1 c2 check +permutation r1 w3 r2 w2 p3 p2 c3 p1 c2 c1 check +permutation r1 w3 r2 w2 p3 p2 c3 c2 p1 c1 check +permutation r1 w3 r2 w2 p3 c3 p1 p2 c1 c2 check +permutation r1 w3 r2 w2 p3 c3 p1 p2 c2 c1 check +permutation r1 w3 r2 w2 p3 c3 p1 c1 p2 c2 check +permutation r1 w3 r2 w2 p3 c3 p2 p1 c1 c2 check +permutation r1 w3 r2 w2 p3 c3 p2 p1 c2 c1 check +permutation r1 w3 r2 w2 p3 c3 p2 c2 p1 c1 check +permutation r1 w3 r2 p1 w2 p2 p3 c3 c1 c2 check +permutation r1 w3 r2 p1 w2 p2 p3 c3 c2 c1 check +permutation r1 w3 r2 p1 w2 p3 p2 c3 c1 c2 check +permutation r1 w3 r2 p1 w2 p3 p2 c3 c2 c1 check +permutation r1 w3 r2 p1 w2 p3 c3 p2 c1 c2 check +permutation r1 w3 r2 p1 w2 p3 c3 p2 c2 c1 check +permutation r1 w3 r2 p1 w2 p3 c3 c1 p2 c2 check +permutation r1 w3 r2 p1 p3 w2 p2 c3 c1 c2 check +permutation r1 w3 r2 p1 p3 w2 p2 c3 c2 c1 check +permutation r1 w3 r2 p1 p3 w2 c3 p2 c1 c2 check +permutation r1 w3 r2 p1 p3 w2 c3 p2 c2 c1 check +permutation r1 w3 r2 p1 p3 w2 c3 c1 p2 c2 check +permutation r1 w3 r2 p1 p3 c3 w2 p2 c1 c2 check +permutation r1 w3 r2 p1 p3 c3 w2 p2 c2 c1 check +permutation r1 w3 r2 p1 p3 c3 w2 c1 p2 c2 check +permutation r1 w3 r2 p1 p3 c3 c1 w2 p2 c2 check +permutation r1 w3 r2 p3 w2 p1 p2 c3 c1 c2 check +permutation r1 w3 r2 p3 w2 p1 p2 c3 c2 c1 check +permutation r1 w3 r2 p3 w2 p1 c3 p2 c1 c2 check +permutation r1 w3 r2 p3 w2 p1 c3 p2 c2 c1 check +permutation r1 w3 r2 p3 w2 p1 c3 c1 p2 c2 check +permutation r1 w3 r2 p3 w2 p2 p1 c3 c1 c2 check +permutation r1 w3 r2 p3 w2 p2 p1 c3 c2 c1 check +permutation r1 w3 r2 p3 w2 p2 c3 p1 c1 c2 check +permutation r1 w3 r2 p3 w2 p2 c3 p1 c2 c1 check +permutation r1 w3 r2 p3 w2 p2 c3 c2 p1 c1 check +permutation r1 w3 r2 p3 w2 c3 p1 p2 c1 c2 check +permutation r1 w3 r2 p3 w2 c3 p1 p2 c2 c1 check +permutation r1 w3 r2 p3 w2 c3 p1 c1 p2 c2 check +permutation r1 w3 r2 p3 w2 c3 p2 p1 c1 c2 check +permutation r1 w3 r2 p3 w2 c3 p2 p1 c2 c1 check +permutation r1 w3 r2 p3 w2 c3 p2 c2 p1 c1 check +permutation r1 w3 r2 p3 p1 w2 p2 c3 c1 c2 check +permutation r1 w3 r2 p3 p1 w2 p2 c3 c2 c1 check +permutation r1 w3 r2 p3 p1 w2 c3 p2 c1 c2 check +permutation r1 w3 r2 p3 p1 w2 c3 p2 c2 c1 check +permutation r1 w3 r2 p3 p1 w2 c3 c1 p2 c2 check +permutation r1 w3 r2 p3 p1 c3 w2 p2 c1 c2 check +permutation r1 w3 r2 p3 p1 c3 w2 p2 c2 c1 check +permutation r1 w3 r2 p3 p1 c3 w2 c1 p2 c2 check +permutation r1 w3 r2 p3 p1 c3 c1 w2 p2 c2 check +permutation r1 w3 r2 p3 c3 w2 p1 p2 c1 c2 check +permutation r1 w3 r2 p3 c3 w2 p1 p2 c2 c1 check +permutation r1 w3 r2 p3 c3 w2 p1 c1 p2 c2 check +permutation r1 w3 r2 p3 c3 w2 p2 p1 c1 c2 check +permutation r1 w3 r2 p3 c3 w2 p2 p1 c2 c1 check +permutation r1 w3 r2 p3 c3 w2 p2 c2 p1 c1 check +permutation r1 w3 r2 p3 c3 p1 w2 p2 c1 c2 check +permutation r1 w3 r2 p3 c3 p1 w2 p2 c2 c1 check +permutation r1 w3 r2 p3 c3 p1 w2 c1 p2 c2 check +permutation r1 w3 r2 p3 c3 p1 c1 w2 p2 c2 check +permutation r1 w3 w2 r2 p1 p2 p3 c3 c1 c2 check +permutation r1 w3 w2 r2 p1 p2 p3 c3 c2 c1 check +permutation r1 w3 w2 r2 p1 p3 p2 c3 c1 c2 check +permutation r1 w3 w2 r2 p1 p3 p2 c3 c2 c1 check +permutation r1 w3 w2 r2 p1 p3 c3 p2 c1 c2 check +permutation r1 w3 w2 r2 p1 p3 c3 p2 c2 c1 check +permutation r1 w3 w2 r2 p1 p3 c3 c1 p2 c2 check +permutation r1 w3 w2 r2 p2 p1 p3 c3 c1 c2 check +permutation r1 w3 w2 r2 p2 p1 p3 c3 c2 c1 check +permutation r1 w3 w2 r2 p2 p3 p1 c3 c1 c2 check +permutation r1 w3 w2 r2 p2 p3 p1 c3 c2 c1 check +permutation r1 w3 w2 r2 p2 p3 c3 p1 c1 c2 check +permutation r1 w3 w2 r2 p2 p3 c3 p1 c2 c1 check +permutation r1 w3 w2 r2 p2 p3 c3 c2 p1 c1 check +permutation r1 w3 w2 r2 p3 p1 p2 c3 c1 c2 check +permutation r1 w3 w2 r2 p3 p1 p2 c3 c2 c1 check +permutation r1 w3 w2 r2 p3 p1 c3 p2 c1 c2 check +permutation r1 w3 w2 r2 p3 p1 c3 p2 c2 c1 check +permutation r1 w3 w2 r2 p3 p1 c3 c1 p2 c2 check +permutation r1 w3 w2 r2 p3 p2 p1 c3 c1 c2 check +permutation r1 w3 w2 r2 p3 p2 p1 c3 c2 c1 check +permutation r1 w3 w2 r2 p3 p2 c3 p1 c1 c2 check +permutation r1 w3 w2 r2 p3 p2 c3 p1 c2 c1 check +permutation r1 w3 w2 r2 p3 p2 c3 c2 p1 c1 check +permutation r1 w3 w2 r2 p3 c3 p1 p2 c1 c2 check +permutation r1 w3 w2 r2 p3 c3 p1 p2 c2 c1 check +permutation r1 w3 w2 r2 p3 c3 p1 c1 p2 c2 check +permutation r1 w3 w2 r2 p3 c3 p2 p1 c1 c2 check +permutation r1 w3 w2 r2 p3 c3 p2 p1 c2 c1 check +permutation r1 w3 w2 r2 p3 c3 p2 c2 p1 c1 check +permutation r1 w3 w2 p1 r2 p2 p3 c3 c1 c2 check +permutation r1 w3 w2 p1 r2 p2 p3 c3 c2 c1 check +permutation r1 w3 w2 p1 r2 p3 p2 c3 c1 c2 check +permutation r1 w3 w2 p1 r2 p3 p2 c3 c2 c1 check +permutation r1 w3 w2 p1 r2 p3 c3 p2 c1 c2 check +permutation r1 w3 w2 p1 r2 p3 c3 p2 c2 c1 check +permutation r1 w3 w2 p1 r2 p3 c3 c1 p2 c2 check +permutation r1 w3 w2 p1 p3 r2 p2 c3 c1 c2 check +permutation r1 w3 w2 p1 p3 r2 p2 c3 c2 c1 check +permutation r1 w3 w2 p1 p3 r2 c3 p2 c1 c2 check +permutation r1 w3 w2 p1 p3 r2 c3 p2 c2 c1 check +permutation r1 w3 w2 p1 p3 r2 c3 c1 p2 c2 check +permutation r1 w3 w2 p1 p3 c3 r2 p2 c1 c2 check +permutation r1 w3 w2 p1 p3 c3 r2 p2 c2 c1 check +permutation r1 w3 w2 p1 p3 c3 r2 c1 p2 c2 check +permutation r1 w3 w2 p1 p3 c3 c1 r2 p2 c2 check +permutation r1 w3 w2 p3 r2 p1 p2 c3 c1 c2 check +permutation r1 w3 w2 p3 r2 p1 p2 c3 c2 c1 check +permutation r1 w3 w2 p3 r2 p1 c3 p2 c1 c2 check +permutation r1 w3 w2 p3 r2 p1 c3 p2 c2 c1 check +permutation r1 w3 w2 p3 r2 p1 c3 c1 p2 c2 check +permutation r1 w3 w2 p3 r2 p2 p1 c3 c1 c2 check +permutation r1 w3 w2 p3 r2 p2 p1 c3 c2 c1 check +permutation r1 w3 w2 p3 r2 p2 c3 p1 c1 c2 check +permutation r1 w3 w2 p3 r2 p2 c3 p1 c2 c1 check +permutation r1 w3 w2 p3 r2 p2 c3 c2 p1 c1 check +permutation r1 w3 w2 p3 r2 c3 p1 p2 c1 c2 check +permutation r1 w3 w2 p3 r2 c3 p1 p2 c2 c1 check +permutation r1 w3 w2 p3 r2 c3 p1 c1 p2 c2 check +permutation r1 w3 w2 p3 r2 c3 p2 p1 c1 c2 check +permutation r1 w3 w2 p3 r2 c3 p2 p1 c2 c1 check +permutation r1 w3 w2 p3 r2 c3 p2 c2 p1 c1 check +permutation r1 w3 w2 p3 p1 r2 p2 c3 c1 c2 check +permutation r1 w3 w2 p3 p1 r2 p2 c3 c2 c1 check +permutation r1 w3 w2 p3 p1 r2 c3 p2 c1 c2 check +permutation r1 w3 w2 p3 p1 r2 c3 p2 c2 c1 check +permutation r1 w3 w2 p3 p1 r2 c3 c1 p2 c2 check +permutation r1 w3 w2 p3 p1 c3 r2 p2 c1 c2 check +permutation r1 w3 w2 p3 p1 c3 r2 p2 c2 c1 check +permutation r1 w3 w2 p3 p1 c3 r2 c1 p2 c2 check +permutation r1 w3 w2 p3 p1 c3 c1 r2 p2 c2 check +permutation r1 w3 w2 p3 c3 r2 p1 p2 c1 c2 check +permutation r1 w3 w2 p3 c3 r2 p1 p2 c2 c1 check +permutation r1 w3 w2 p3 c3 r2 p1 c1 p2 c2 check +permutation r1 w3 w2 p3 c3 r2 p2 p1 c1 c2 check +permutation r1 w3 w2 p3 c3 r2 p2 p1 c2 c1 check +permutation r1 w3 w2 p3 c3 r2 p2 c2 p1 c1 check +permutation r1 w3 w2 p3 c3 p1 r2 p2 c1 c2 check +permutation r1 w3 w2 p3 c3 p1 r2 p2 c2 c1 check +permutation r1 w3 w2 p3 c3 p1 r2 c1 p2 c2 check +permutation r1 w3 w2 p3 c3 p1 c1 r2 p2 c2 check +permutation r1 w3 p1 r2 w2 p2 p3 c3 c1 c2 check +permutation r1 w3 p1 r2 w2 p2 p3 c3 c2 c1 check +permutation r1 w3 p1 r2 w2 p3 p2 c3 c1 c2 check +permutation r1 w3 p1 r2 w2 p3 p2 c3 c2 c1 check +permutation r1 w3 p1 r2 w2 p3 c3 p2 c1 c2 check +permutation r1 w3 p1 r2 w2 p3 c3 p2 c2 c1 check +permutation r1 w3 p1 r2 w2 p3 c3 c1 p2 c2 check +permutation r1 w3 p1 r2 p3 w2 p2 c3 c1 c2 check +permutation r1 w3 p1 r2 p3 w2 p2 c3 c2 c1 check +permutation r1 w3 p1 r2 p3 w2 c3 p2 c1 c2 check +permutation r1 w3 p1 r2 p3 w2 c3 p2 c2 c1 check +permutation r1 w3 p1 r2 p3 w2 c3 c1 p2 c2 check +permutation r1 w3 p1 r2 p3 c3 w2 p2 c1 c2 check +permutation r1 w3 p1 r2 p3 c3 w2 p2 c2 c1 check +permutation r1 w3 p1 r2 p3 c3 w2 c1 p2 c2 check +permutation r1 w3 p1 r2 p3 c3 c1 w2 p2 c2 check +permutation r1 w3 p1 w2 r2 p2 p3 c3 c1 c2 check +permutation r1 w3 p1 w2 r2 p2 p3 c3 c2 c1 check +permutation r1 w3 p1 w2 r2 p3 p2 c3 c1 c2 check +permutation r1 w3 p1 w2 r2 p3 p2 c3 c2 c1 check +permutation r1 w3 p1 w2 r2 p3 c3 p2 c1 c2 check +permutation r1 w3 p1 w2 r2 p3 c3 p2 c2 c1 check +permutation r1 w3 p1 w2 r2 p3 c3 c1 p2 c2 check +permutation r1 w3 p1 w2 p3 r2 p2 c3 c1 c2 check +permutation r1 w3 p1 w2 p3 r2 p2 c3 c2 c1 check +permutation r1 w3 p1 w2 p3 r2 c3 p2 c1 c2 check +permutation r1 w3 p1 w2 p3 r2 c3 p2 c2 c1 check +permutation r1 w3 p1 w2 p3 r2 c3 c1 p2 c2 check +permutation r1 w3 p1 w2 p3 c3 r2 p2 c1 c2 check +permutation r1 w3 p1 w2 p3 c3 r2 p2 c2 c1 check +permutation r1 w3 p1 w2 p3 c3 r2 c1 p2 c2 check +permutation r1 w3 p1 w2 p3 c3 c1 r2 p2 c2 check +permutation r1 w3 p1 p3 r2 w2 p2 c3 c1 c2 check +permutation r1 w3 p1 p3 r2 w2 p2 c3 c2 c1 check +permutation r1 w3 p1 p3 r2 w2 c3 p2 c1 c2 check +permutation r1 w3 p1 p3 r2 w2 c3 p2 c2 c1 check +permutation r1 w3 p1 p3 r2 w2 c3 c1 p2 c2 check +permutation r1 w3 p1 p3 r2 c3 w2 p2 c1 c2 check +permutation r1 w3 p1 p3 r2 c3 w2 p2 c2 c1 check +permutation r1 w3 p1 p3 r2 c3 w2 c1 p2 c2 check +permutation r1 w3 p1 p3 r2 c3 c1 w2 p2 c2 check +permutation r1 w3 p1 p3 w2 r2 p2 c3 c1 c2 check +permutation r1 w3 p1 p3 w2 r2 p2 c3 c2 c1 check +permutation r1 w3 p1 p3 w2 r2 c3 p2 c1 c2 check +permutation r1 w3 p1 p3 w2 r2 c3 p2 c2 c1 check +permutation r1 w3 p1 p3 w2 r2 c3 c1 p2 c2 check +permutation r1 w3 p1 p3 w2 c3 r2 p2 c1 c2 check +permutation r1 w3 p1 p3 w2 c3 r2 p2 c2 c1 check +permutation r1 w3 p1 p3 w2 c3 r2 c1 p2 c2 check +permutation r1 w3 p1 p3 w2 c3 c1 r2 p2 c2 check +permutation r1 w3 p1 p3 c3 r2 w2 p2 c1 c2 check +permutation r1 w3 p1 p3 c3 r2 w2 p2 c2 c1 check +permutation r1 w3 p1 p3 c3 r2 w2 c1 p2 c2 check +permutation r1 w3 p1 p3 c3 r2 c1 w2 p2 c2 check +permutation r1 w3 p1 p3 c3 w2 r2 p2 c1 c2 check +permutation r1 w3 p1 p3 c3 w2 r2 p2 c2 c1 check +permutation r1 w3 p1 p3 c3 w2 r2 c1 p2 c2 check +permutation r1 w3 p1 p3 c3 w2 c1 r2 p2 c2 check +permutation r1 w3 p1 p3 c3 c1 r2 w2 p2 c2 check +permutation r1 w3 p1 p3 c3 c1 w2 r2 p2 c2 check +permutation r1 w3 p3 r2 w2 p1 p2 c3 c1 c2 check +permutation r1 w3 p3 r2 w2 p1 p2 c3 c2 c1 check +permutation r1 w3 p3 r2 w2 p1 c3 p2 c1 c2 check +permutation r1 w3 p3 r2 w2 p1 c3 p2 c2 c1 check +permutation r1 w3 p3 r2 w2 p1 c3 c1 p2 c2 check +permutation r1 w3 p3 r2 w2 p2 p1 c3 c1 c2 check +permutation r1 w3 p3 r2 w2 p2 p1 c3 c2 c1 check +permutation r1 w3 p3 r2 w2 p2 c3 p1 c1 c2 check +permutation r1 w3 p3 r2 w2 p2 c3 p1 c2 c1 check +permutation r1 w3 p3 r2 w2 p2 c3 c2 p1 c1 check +permutation r1 w3 p3 r2 w2 c3 p1 p2 c1 c2 check +permutation r1 w3 p3 r2 w2 c3 p1 p2 c2 c1 check +permutation r1 w3 p3 r2 w2 c3 p1 c1 p2 c2 check +permutation r1 w3 p3 r2 w2 c3 p2 p1 c1 c2 check +permutation r1 w3 p3 r2 w2 c3 p2 p1 c2 c1 check +permutation r1 w3 p3 r2 w2 c3 p2 c2 p1 c1 check +permutation r1 w3 p3 r2 p1 w2 p2 c3 c1 c2 check +permutation r1 w3 p3 r2 p1 w2 p2 c3 c2 c1 check +permutation r1 w3 p3 r2 p1 w2 c3 p2 c1 c2 check +permutation r1 w3 p3 r2 p1 w2 c3 p2 c2 c1 check +permutation r1 w3 p3 r2 p1 w2 c3 c1 p2 c2 check +permutation r1 w3 p3 r2 p1 c3 w2 p2 c1 c2 check +permutation r1 w3 p3 r2 p1 c3 w2 p2 c2 c1 check +permutation r1 w3 p3 r2 p1 c3 w2 c1 p2 c2 check +permutation r1 w3 p3 r2 p1 c3 c1 w2 p2 c2 check +permutation r1 w3 p3 r2 c3 w2 p1 p2 c1 c2 check +permutation r1 w3 p3 r2 c3 w2 p1 p2 c2 c1 check +permutation r1 w3 p3 r2 c3 w2 p1 c1 p2 c2 check +permutation r1 w3 p3 r2 c3 w2 p2 p1 c1 c2 check +permutation r1 w3 p3 r2 c3 w2 p2 p1 c2 c1 check +permutation r1 w3 p3 r2 c3 w2 p2 c2 p1 c1 check +permutation r1 w3 p3 r2 c3 p1 w2 p2 c1 c2 check +permutation r1 w3 p3 r2 c3 p1 w2 p2 c2 c1 check +permutation r1 w3 p3 r2 c3 p1 w2 c1 p2 c2 check +permutation r1 w3 p3 r2 c3 p1 c1 w2 p2 c2 check +permutation r1 w3 p3 w2 r2 p1 p2 c3 c1 c2 check +permutation r1 w3 p3 w2 r2 p1 p2 c3 c2 c1 check +permutation r1 w3 p3 w2 r2 p1 c3 p2 c1 c2 check +permutation r1 w3 p3 w2 r2 p1 c3 p2 c2 c1 check +permutation r1 w3 p3 w2 r2 p1 c3 c1 p2 c2 check +permutation r1 w3 p3 w2 r2 p2 p1 c3 c1 c2 check +permutation r1 w3 p3 w2 r2 p2 p1 c3 c2 c1 check +permutation r1 w3 p3 w2 r2 p2 c3 p1 c1 c2 check +permutation r1 w3 p3 w2 r2 p2 c3 p1 c2 c1 check +permutation r1 w3 p3 w2 r2 p2 c3 c2 p1 c1 check +permutation r1 w3 p3 w2 r2 c3 p1 p2 c1 c2 check +permutation r1 w3 p3 w2 r2 c3 p1 p2 c2 c1 check +permutation r1 w3 p3 w2 r2 c3 p1 c1 p2 c2 check +permutation r1 w3 p3 w2 r2 c3 p2 p1 c1 c2 check +permutation r1 w3 p3 w2 r2 c3 p2 p1 c2 c1 check +permutation r1 w3 p3 w2 r2 c3 p2 c2 p1 c1 check +permutation r1 w3 p3 w2 p1 r2 p2 c3 c1 c2 check +permutation r1 w3 p3 w2 p1 r2 p2 c3 c2 c1 check +permutation r1 w3 p3 w2 p1 r2 c3 p2 c1 c2 check +permutation r1 w3 p3 w2 p1 r2 c3 p2 c2 c1 check +permutation r1 w3 p3 w2 p1 r2 c3 c1 p2 c2 check +permutation r1 w3 p3 w2 p1 c3 r2 p2 c1 c2 check +permutation r1 w3 p3 w2 p1 c3 r2 p2 c2 c1 check +permutation r1 w3 p3 w2 p1 c3 r2 c1 p2 c2 check +permutation r1 w3 p3 w2 p1 c3 c1 r2 p2 c2 check +permutation r1 w3 p3 w2 c3 r2 p1 p2 c1 c2 check +permutation r1 w3 p3 w2 c3 r2 p1 p2 c2 c1 check +permutation r1 w3 p3 w2 c3 r2 p1 c1 p2 c2 check +permutation r1 w3 p3 w2 c3 r2 p2 p1 c1 c2 check +permutation r1 w3 p3 w2 c3 r2 p2 p1 c2 c1 check +permutation r1 w3 p3 w2 c3 r2 p2 c2 p1 c1 check +permutation r1 w3 p3 w2 c3 p1 r2 p2 c1 c2 check +permutation r1 w3 p3 w2 c3 p1 r2 p2 c2 c1 check +permutation r1 w3 p3 w2 c3 p1 r2 c1 p2 c2 check +permutation r1 w3 p3 w2 c3 p1 c1 r2 p2 c2 check +permutation r1 w3 p3 p1 r2 w2 p2 c3 c1 c2 check +permutation r1 w3 p3 p1 r2 w2 p2 c3 c2 c1 check +permutation r1 w3 p3 p1 r2 w2 c3 p2 c1 c2 check +permutation r1 w3 p3 p1 r2 w2 c3 p2 c2 c1 check +permutation r1 w3 p3 p1 r2 w2 c3 c1 p2 c2 check +permutation r1 w3 p3 p1 r2 c3 w2 p2 c1 c2 check +permutation r1 w3 p3 p1 r2 c3 w2 p2 c2 c1 check +permutation r1 w3 p3 p1 r2 c3 w2 c1 p2 c2 check +permutation r1 w3 p3 p1 r2 c3 c1 w2 p2 c2 check +permutation r1 w3 p3 p1 w2 r2 p2 c3 c1 c2 check +permutation r1 w3 p3 p1 w2 r2 p2 c3 c2 c1 check +permutation r1 w3 p3 p1 w2 r2 c3 p2 c1 c2 check +permutation r1 w3 p3 p1 w2 r2 c3 p2 c2 c1 check +permutation r1 w3 p3 p1 w2 r2 c3 c1 p2 c2 check +permutation r1 w3 p3 p1 w2 c3 r2 p2 c1 c2 check +permutation r1 w3 p3 p1 w2 c3 r2 p2 c2 c1 check +permutation r1 w3 p3 p1 w2 c3 r2 c1 p2 c2 check +permutation r1 w3 p3 p1 w2 c3 c1 r2 p2 c2 check +permutation r1 w3 p3 p1 c3 r2 w2 p2 c1 c2 check +permutation r1 w3 p3 p1 c3 r2 w2 p2 c2 c1 check +permutation r1 w3 p3 p1 c3 r2 w2 c1 p2 c2 check +permutation r1 w3 p3 p1 c3 r2 c1 w2 p2 c2 check +permutation r1 w3 p3 p1 c3 w2 r2 p2 c1 c2 check +permutation r1 w3 p3 p1 c3 w2 r2 p2 c2 c1 check +permutation r1 w3 p3 p1 c3 w2 r2 c1 p2 c2 check +permutation r1 w3 p3 p1 c3 w2 c1 r2 p2 c2 check +permutation r1 w3 p3 p1 c3 c1 r2 w2 p2 c2 check +permutation r1 w3 p3 p1 c3 c1 w2 r2 p2 c2 check +permutation r1 w3 p3 c3 r2 w2 p1 p2 c1 c2 check +permutation r1 w3 p3 c3 r2 w2 p1 p2 c2 c1 check +permutation r1 w3 p3 c3 r2 w2 p1 c1 p2 c2 check +permutation r1 w3 p3 c3 r2 w2 p2 p1 c1 c2 check +permutation r1 w3 p3 c3 r2 w2 p2 p1 c2 c1 check +permutation r1 w3 p3 c3 r2 w2 p2 c2 p1 c1 check +permutation r1 w3 p3 c3 r2 p1 w2 p2 c1 c2 check +permutation r1 w3 p3 c3 r2 p1 w2 p2 c2 c1 check +permutation r1 w3 p3 c3 r2 p1 w2 c1 p2 c2 check +permutation r1 w3 p3 c3 r2 p1 c1 w2 p2 c2 check +permutation r1 w3 p3 c3 w2 r2 p1 p2 c1 c2 check +permutation r1 w3 p3 c3 w2 r2 p1 p2 c2 c1 check +permutation r1 w3 p3 c3 w2 r2 p1 c1 p2 c2 check +permutation r1 w3 p3 c3 w2 r2 p2 p1 c1 c2 check +permutation r1 w3 p3 c3 w2 r2 p2 p1 c2 c1 check +permutation r1 w3 p3 c3 w2 r2 p2 c2 p1 c1 check +permutation r1 w3 p3 c3 w2 p1 r2 p2 c1 c2 check +permutation r1 w3 p3 c3 w2 p1 r2 p2 c2 c1 check +permutation r1 w3 p3 c3 w2 p1 r2 c1 p2 c2 check +permutation r1 w3 p3 c3 w2 p1 c1 r2 p2 c2 check +permutation r1 w3 p3 c3 p1 r2 w2 p2 c1 c2 check +permutation r1 w3 p3 c3 p1 r2 w2 p2 c2 c1 check +permutation r1 w3 p3 c3 p1 r2 w2 c1 p2 c2 check +permutation r1 w3 p3 c3 p1 r2 c1 w2 p2 c2 check +permutation r1 w3 p3 c3 p1 w2 r2 p2 c1 c2 check +permutation r1 w3 p3 c3 p1 w2 r2 p2 c2 c1 check +permutation r1 w3 p3 c3 p1 w2 r2 c1 p2 c2 check +permutation r1 w3 p3 c3 p1 w2 c1 r2 p2 c2 check +permutation r1 w3 p3 c3 p1 c1 r2 w2 p2 c2 check +permutation r1 w3 p3 c3 p1 c1 w2 r2 p2 c2 check +permutation r1 p1 r2 w2 w3 p2 p3 c3 c1 c2 check +permutation r1 p1 r2 w2 w3 p2 p3 c3 c2 c1 check +permutation r1 p1 r2 w2 w3 p3 p2 c3 c1 c2 check +permutation r1 p1 r2 w2 w3 p3 p2 c3 c2 c1 check +permutation r1 p1 r2 w2 w3 p3 c3 p2 c1 c2 check +permutation r1 p1 r2 w2 w3 p3 c3 p2 c2 c1 check +permutation r1 p1 r2 w2 w3 p3 c3 c1 p2 c2 check +permutation r1 p1 r2 w2 p2 w3 p3 c3 c1 c2 check +permutation r1 p1 r2 w2 p2 w3 p3 c3 c2 c1 check +permutation r1 p1 w2 w3 r2 p2 p3 c3 c1 c2 check +permutation r1 p1 w2 w3 r2 p2 p3 c3 c2 c1 check +permutation r1 p1 w2 w3 r2 p3 p2 c3 c1 c2 check +permutation r1 p1 w2 w3 r2 p3 p2 c3 c2 c1 check +permutation r1 p1 w2 w3 r2 p3 c3 p2 c1 c2 check +permutation r1 p1 w2 w3 r2 p3 c3 p2 c2 c1 check +permutation r1 p1 w2 w3 r2 p3 c3 c1 p2 c2 check +permutation r1 p1 w2 w3 p3 r2 p2 c3 c1 c2 check +permutation r1 p1 w2 w3 p3 r2 p2 c3 c2 c1 check +permutation r1 p1 w2 w3 p3 r2 c3 p2 c1 c2 check +permutation r1 p1 w2 w3 p3 r2 c3 p2 c2 c1 check +permutation r1 p1 w2 w3 p3 r2 c3 c1 p2 c2 check +permutation r1 p1 w2 w3 p3 c3 r2 p2 c1 c2 check +permutation r1 p1 w2 w3 p3 c3 r2 p2 c2 c1 check +permutation r1 p1 w2 w3 p3 c3 r2 c1 p2 c2 check +permutation r1 p1 w2 w3 p3 c3 c1 r2 p2 c2 check +permutation r1 p1 w3 r2 w2 p2 p3 c3 c1 c2 check +permutation r1 p1 w3 r2 w2 p2 p3 c3 c2 c1 check +permutation r1 p1 w3 r2 w2 p3 p2 c3 c1 c2 check +permutation r1 p1 w3 r2 w2 p3 p2 c3 c2 c1 check +permutation r1 p1 w3 r2 w2 p3 c3 p2 c1 c2 check +permutation r1 p1 w3 r2 w2 p3 c3 p2 c2 c1 check +permutation r1 p1 w3 r2 w2 p3 c3 c1 p2 c2 check +permutation r1 p1 w3 r2 p3 w2 p2 c3 c1 c2 check +permutation r1 p1 w3 r2 p3 w2 p2 c3 c2 c1 check +permutation r1 p1 w3 r2 p3 w2 c3 p2 c1 c2 check +permutation r1 p1 w3 r2 p3 w2 c3 p2 c2 c1 check +permutation r1 p1 w3 r2 p3 w2 c3 c1 p2 c2 check +permutation r1 p1 w3 r2 p3 c3 w2 p2 c1 c2 check +permutation r1 p1 w3 r2 p3 c3 w2 p2 c2 c1 check +permutation r1 p1 w3 r2 p3 c3 w2 c1 p2 c2 check +permutation r1 p1 w3 r2 p3 c3 c1 w2 p2 c2 check +permutation r1 p1 w3 w2 r2 p2 p3 c3 c1 c2 check +permutation r1 p1 w3 w2 r2 p2 p3 c3 c2 c1 check +permutation r1 p1 w3 w2 r2 p3 p2 c3 c1 c2 check +permutation r1 p1 w3 w2 r2 p3 p2 c3 c2 c1 check +permutation r1 p1 w3 w2 r2 p3 c3 p2 c1 c2 check +permutation r1 p1 w3 w2 r2 p3 c3 p2 c2 c1 check +permutation r1 p1 w3 w2 r2 p3 c3 c1 p2 c2 check +permutation r1 p1 w3 w2 p3 r2 p2 c3 c1 c2 check +permutation r1 p1 w3 w2 p3 r2 p2 c3 c2 c1 check +permutation r1 p1 w3 w2 p3 r2 c3 p2 c1 c2 check +permutation r1 p1 w3 w2 p3 r2 c3 p2 c2 c1 check +permutation r1 p1 w3 w2 p3 r2 c3 c1 p2 c2 check +permutation r1 p1 w3 w2 p3 c3 r2 p2 c1 c2 check +permutation r1 p1 w3 w2 p3 c3 r2 p2 c2 c1 check +permutation r1 p1 w3 w2 p3 c3 r2 c1 p2 c2 check +permutation r1 p1 w3 w2 p3 c3 c1 r2 p2 c2 check +permutation r1 p1 w3 p3 r2 w2 p2 c3 c1 c2 check +permutation r1 p1 w3 p3 r2 w2 p2 c3 c2 c1 check +permutation r1 p1 w3 p3 r2 w2 c3 p2 c1 c2 check +permutation r1 p1 w3 p3 r2 w2 c3 p2 c2 c1 check +permutation r1 p1 w3 p3 r2 w2 c3 c1 p2 c2 check +permutation r1 p1 w3 p3 r2 c3 w2 p2 c1 c2 check +permutation r1 p1 w3 p3 r2 c3 w2 p2 c2 c1 check +permutation r1 p1 w3 p3 r2 c3 w2 c1 p2 c2 check +permutation r1 p1 w3 p3 r2 c3 c1 w2 p2 c2 check +permutation r1 p1 w3 p3 w2 r2 p2 c3 c1 c2 check +permutation r1 p1 w3 p3 w2 r2 p2 c3 c2 c1 check +permutation r1 p1 w3 p3 w2 r2 c3 p2 c1 c2 check +permutation r1 p1 w3 p3 w2 r2 c3 p2 c2 c1 check +permutation r1 p1 w3 p3 w2 r2 c3 c1 p2 c2 check +permutation r1 p1 w3 p3 w2 c3 r2 p2 c1 c2 check +permutation r1 p1 w3 p3 w2 c3 r2 p2 c2 c1 check +permutation r1 p1 w3 p3 w2 c3 r2 c1 p2 c2 check +permutation r1 p1 w3 p3 w2 c3 c1 r2 p2 c2 check +permutation r1 p1 w3 p3 c3 r2 w2 p2 c1 c2 check +permutation r1 p1 w3 p3 c3 r2 w2 p2 c2 c1 check +permutation r1 p1 w3 p3 c3 r2 w2 c1 p2 c2 check +permutation r1 p1 w3 p3 c3 r2 c1 w2 p2 c2 check +permutation r1 p1 w3 p3 c3 w2 r2 p2 c1 c2 check +permutation r1 p1 w3 p3 c3 w2 r2 p2 c2 c1 check +permutation r1 p1 w3 p3 c3 w2 r2 c1 p2 c2 check +permutation r1 p1 w3 p3 c3 w2 c1 r2 p2 c2 check +permutation r1 p1 w3 p3 c3 c1 r2 w2 p2 c2 check +permutation r1 p1 w3 p3 c3 c1 w2 r2 p2 c2 check +permutation w2 r1 r2 w3 p1 p2 p3 c3 c1 c2 check +permutation w2 r1 r2 w3 p1 p2 p3 c3 c2 c1 check +permutation w2 r1 r2 w3 p1 p3 p2 c3 c1 c2 check +permutation w2 r1 r2 w3 p1 p3 p2 c3 c2 c1 check +permutation w2 r1 r2 w3 p1 p3 c3 p2 c1 c2 check +permutation w2 r1 r2 w3 p1 p3 c3 p2 c2 c1 check +permutation w2 r1 r2 w3 p1 p3 c3 c1 p2 c2 check +permutation w2 r1 r2 w3 p2 p1 p3 c3 c1 c2 check +permutation w2 r1 r2 w3 p2 p1 p3 c3 c2 c1 check +permutation w2 r1 r2 w3 p2 p3 p1 c3 c1 c2 check +permutation w2 r1 r2 w3 p2 p3 p1 c3 c2 c1 check +permutation w2 r1 r2 w3 p2 p3 c3 p1 c1 c2 check +permutation w2 r1 r2 w3 p2 p3 c3 p1 c2 c1 check +permutation w2 r1 r2 w3 p2 p3 c3 c2 p1 c1 check +permutation w2 r1 r2 w3 p3 p1 p2 c3 c1 c2 check +permutation w2 r1 r2 w3 p3 p1 p2 c3 c2 c1 check +permutation w2 r1 r2 w3 p3 p1 c3 p2 c1 c2 check +permutation w2 r1 r2 w3 p3 p1 c3 p2 c2 c1 check +permutation w2 r1 r2 w3 p3 p1 c3 c1 p2 c2 check +permutation w2 r1 r2 w3 p3 p2 p1 c3 c1 c2 check +permutation w2 r1 r2 w3 p3 p2 p1 c3 c2 c1 check +permutation w2 r1 r2 w3 p3 p2 c3 p1 c1 c2 check +permutation w2 r1 r2 w3 p3 p2 c3 p1 c2 c1 check +permutation w2 r1 r2 w3 p3 p2 c3 c2 p1 c1 check +permutation w2 r1 r2 w3 p3 c3 p1 p2 c1 c2 check +permutation w2 r1 r2 w3 p3 c3 p1 p2 c2 c1 check +permutation w2 r1 r2 w3 p3 c3 p1 c1 p2 c2 check +permutation w2 r1 r2 w3 p3 c3 p2 p1 c1 c2 check +permutation w2 r1 r2 w3 p3 c3 p2 p1 c2 c1 check +permutation w2 r1 r2 w3 p3 c3 p2 c2 p1 c1 check +permutation w2 r1 r2 p1 w3 p2 p3 c3 c1 c2 check +permutation w2 r1 r2 p1 w3 p2 p3 c3 c2 c1 check +permutation w2 r1 r2 p1 w3 p3 p2 c3 c1 c2 check +permutation w2 r1 r2 p1 w3 p3 p2 c3 c2 c1 check +permutation w2 r1 r2 p1 w3 p3 c3 p2 c1 c2 check +permutation w2 r1 r2 p1 w3 p3 c3 p2 c2 c1 check +permutation w2 r1 r2 p1 w3 p3 c3 c1 p2 c2 check +permutation w2 r1 r2 p1 p2 w3 p3 c3 c1 c2 check +permutation w2 r1 r2 p1 p2 w3 p3 c3 c2 c1 check +permutation w2 r1 r2 p2 w3 p1 p3 c3 c1 c2 check +permutation w2 r1 r2 p2 w3 p1 p3 c3 c2 c1 check +permutation w2 r1 r2 p2 w3 p3 p1 c3 c1 c2 check +permutation w2 r1 r2 p2 w3 p3 p1 c3 c2 c1 check +permutation w2 r1 r2 p2 w3 p3 c3 p1 c1 c2 check +permutation w2 r1 r2 p2 w3 p3 c3 p1 c2 c1 check +permutation w2 r1 r2 p2 w3 p3 c3 c2 p1 c1 check +permutation w2 r1 r2 p2 p1 w3 p3 c3 c1 c2 check +permutation w2 r1 r2 p2 p1 w3 p3 c3 c2 c1 check +permutation w2 r1 w3 r2 p1 p2 p3 c3 c1 c2 check +permutation w2 r1 w3 r2 p1 p2 p3 c3 c2 c1 check +permutation w2 r1 w3 r2 p1 p3 p2 c3 c1 c2 check +permutation w2 r1 w3 r2 p1 p3 p2 c3 c2 c1 check +permutation w2 r1 w3 r2 p1 p3 c3 p2 c1 c2 check +permutation w2 r1 w3 r2 p1 p3 c3 p2 c2 c1 check +permutation w2 r1 w3 r2 p1 p3 c3 c1 p2 c2 check +permutation w2 r1 w3 r2 p2 p1 p3 c3 c1 c2 check +permutation w2 r1 w3 r2 p2 p1 p3 c3 c2 c1 check +permutation w2 r1 w3 r2 p2 p3 p1 c3 c1 c2 check +permutation w2 r1 w3 r2 p2 p3 p1 c3 c2 c1 check +permutation w2 r1 w3 r2 p2 p3 c3 p1 c1 c2 check +permutation w2 r1 w3 r2 p2 p3 c3 p1 c2 c1 check +permutation w2 r1 w3 r2 p2 p3 c3 c2 p1 c1 check +permutation w2 r1 w3 r2 p3 p1 p2 c3 c1 c2 check +permutation w2 r1 w3 r2 p3 p1 p2 c3 c2 c1 check +permutation w2 r1 w3 r2 p3 p1 c3 p2 c1 c2 check +permutation w2 r1 w3 r2 p3 p1 c3 p2 c2 c1 check +permutation w2 r1 w3 r2 p3 p1 c3 c1 p2 c2 check +permutation w2 r1 w3 r2 p3 p2 p1 c3 c1 c2 check +permutation w2 r1 w3 r2 p3 p2 p1 c3 c2 c1 check +permutation w2 r1 w3 r2 p3 p2 c3 p1 c1 c2 check +permutation w2 r1 w3 r2 p3 p2 c3 p1 c2 c1 check +permutation w2 r1 w3 r2 p3 p2 c3 c2 p1 c1 check +permutation w2 r1 w3 r2 p3 c3 p1 p2 c1 c2 check +permutation w2 r1 w3 r2 p3 c3 p1 p2 c2 c1 check +permutation w2 r1 w3 r2 p3 c3 p1 c1 p2 c2 check +permutation w2 r1 w3 r2 p3 c3 p2 p1 c1 c2 check +permutation w2 r1 w3 r2 p3 c3 p2 p1 c2 c1 check +permutation w2 r1 w3 r2 p3 c3 p2 c2 p1 c1 check +permutation w2 r1 w3 p1 r2 p2 p3 c3 c1 c2 check +permutation w2 r1 w3 p1 r2 p2 p3 c3 c2 c1 check +permutation w2 r1 w3 p1 r2 p3 p2 c3 c1 c2 check +permutation w2 r1 w3 p1 r2 p3 p2 c3 c2 c1 check +permutation w2 r1 w3 p1 r2 p3 c3 p2 c1 c2 check +permutation w2 r1 w3 p1 r2 p3 c3 p2 c2 c1 check +permutation w2 r1 w3 p1 r2 p3 c3 c1 p2 c2 check +permutation w2 r1 w3 p1 p3 r2 p2 c3 c1 c2 check +permutation w2 r1 w3 p1 p3 r2 p2 c3 c2 c1 check +permutation w2 r1 w3 p1 p3 r2 c3 p2 c1 c2 check +permutation w2 r1 w3 p1 p3 r2 c3 p2 c2 c1 check +permutation w2 r1 w3 p1 p3 r2 c3 c1 p2 c2 check +permutation w2 r1 w3 p1 p3 c3 r2 p2 c1 c2 check +permutation w2 r1 w3 p1 p3 c3 r2 p2 c2 c1 check +permutation w2 r1 w3 p1 p3 c3 r2 c1 p2 c2 check +permutation w2 r1 w3 p1 p3 c3 c1 r2 p2 c2 check +permutation w2 r1 w3 p3 r2 p1 p2 c3 c1 c2 check +permutation w2 r1 w3 p3 r2 p1 p2 c3 c2 c1 check +permutation w2 r1 w3 p3 r2 p1 c3 p2 c1 c2 check +permutation w2 r1 w3 p3 r2 p1 c3 p2 c2 c1 check +permutation w2 r1 w3 p3 r2 p1 c3 c1 p2 c2 check +permutation w2 r1 w3 p3 r2 p2 p1 c3 c1 c2 check +permutation w2 r1 w3 p3 r2 p2 p1 c3 c2 c1 check +permutation w2 r1 w3 p3 r2 p2 c3 p1 c1 c2 check +permutation w2 r1 w3 p3 r2 p2 c3 p1 c2 c1 check +permutation w2 r1 w3 p3 r2 p2 c3 c2 p1 c1 check +permutation w2 r1 w3 p3 r2 c3 p1 p2 c1 c2 check +permutation w2 r1 w3 p3 r2 c3 p1 p2 c2 c1 check +permutation w2 r1 w3 p3 r2 c3 p1 c1 p2 c2 check +permutation w2 r1 w3 p3 r2 c3 p2 p1 c1 c2 check +permutation w2 r1 w3 p3 r2 c3 p2 p1 c2 c1 check +permutation w2 r1 w3 p3 r2 c3 p2 c2 p1 c1 check +permutation w2 r1 w3 p3 p1 r2 p2 c3 c1 c2 check +permutation w2 r1 w3 p3 p1 r2 p2 c3 c2 c1 check +permutation w2 r1 w3 p3 p1 r2 c3 p2 c1 c2 check +permutation w2 r1 w3 p3 p1 r2 c3 p2 c2 c1 check +permutation w2 r1 w3 p3 p1 r2 c3 c1 p2 c2 check +permutation w2 r1 w3 p3 p1 c3 r2 p2 c1 c2 check +permutation w2 r1 w3 p3 p1 c3 r2 p2 c2 c1 check +permutation w2 r1 w3 p3 p1 c3 r2 c1 p2 c2 check +permutation w2 r1 w3 p3 p1 c3 c1 r2 p2 c2 check +permutation w2 r1 w3 p3 c3 r2 p1 p2 c1 c2 check +permutation w2 r1 w3 p3 c3 r2 p1 p2 c2 c1 check +permutation w2 r1 w3 p3 c3 r2 p1 c1 p2 c2 check +permutation w2 r1 w3 p3 c3 r2 p2 p1 c1 c2 check +permutation w2 r1 w3 p3 c3 r2 p2 p1 c2 c1 check +permutation w2 r1 w3 p3 c3 r2 p2 c2 p1 c1 check +permutation w2 r1 w3 p3 c3 p1 r2 p2 c1 c2 check +permutation w2 r1 w3 p3 c3 p1 r2 p2 c2 c1 check +permutation w2 r1 w3 p3 c3 p1 r2 c1 p2 c2 check +permutation w2 r1 w3 p3 c3 p1 c1 r2 p2 c2 check +permutation w2 r1 p1 r2 w3 p2 p3 c3 c1 c2 check +permutation w2 r1 p1 r2 w3 p2 p3 c3 c2 c1 check +permutation w2 r1 p1 r2 w3 p3 p2 c3 c1 c2 check +permutation w2 r1 p1 r2 w3 p3 p2 c3 c2 c1 check +permutation w2 r1 p1 r2 w3 p3 c3 p2 c1 c2 check +permutation w2 r1 p1 r2 w3 p3 c3 p2 c2 c1 check +permutation w2 r1 p1 r2 w3 p3 c3 c1 p2 c2 check +permutation w2 r1 p1 r2 p2 w3 p3 c3 c1 c2 check +permutation w2 r1 p1 r2 p2 w3 p3 c3 c2 c1 check +permutation w2 r1 p1 w3 r2 p2 p3 c3 c1 c2 check +permutation w2 r1 p1 w3 r2 p2 p3 c3 c2 c1 check +permutation w2 r1 p1 w3 r2 p3 p2 c3 c1 c2 check +permutation w2 r1 p1 w3 r2 p3 p2 c3 c2 c1 check +permutation w2 r1 p1 w3 r2 p3 c3 p2 c1 c2 check +permutation w2 r1 p1 w3 r2 p3 c3 p2 c2 c1 check +permutation w2 r1 p1 w3 r2 p3 c3 c1 p2 c2 check +permutation w2 r1 p1 w3 p3 r2 p2 c3 c1 c2 check +permutation w2 r1 p1 w3 p3 r2 p2 c3 c2 c1 check +permutation w2 r1 p1 w3 p3 r2 c3 p2 c1 c2 check +permutation w2 r1 p1 w3 p3 r2 c3 p2 c2 c1 check +permutation w2 r1 p1 w3 p3 r2 c3 c1 p2 c2 check +permutation w2 r1 p1 w3 p3 c3 r2 p2 c1 c2 check +permutation w2 r1 p1 w3 p3 c3 r2 p2 c2 c1 check +permutation w2 r1 p1 w3 p3 c3 r2 c1 p2 c2 check +permutation w2 r1 p1 w3 p3 c3 c1 r2 p2 c2 check +permutation w3 r1 r2 w2 p1 p2 p3 c3 c1 c2 check +permutation w3 r1 r2 w2 p1 p2 p3 c3 c2 c1 check +permutation w3 r1 r2 w2 p1 p3 p2 c3 c1 c2 check +permutation w3 r1 r2 w2 p1 p3 p2 c3 c2 c1 check +permutation w3 r1 r2 w2 p1 p3 c3 p2 c1 c2 check +permutation w3 r1 r2 w2 p1 p3 c3 p2 c2 c1 check +permutation w3 r1 r2 w2 p1 p3 c3 c1 p2 c2 check +permutation w3 r1 r2 w2 p2 p1 p3 c3 c1 c2 check +permutation w3 r1 r2 w2 p2 p1 p3 c3 c2 c1 check +permutation w3 r1 r2 w2 p2 p3 p1 c3 c1 c2 check +permutation w3 r1 r2 w2 p2 p3 p1 c3 c2 c1 check +permutation w3 r1 r2 w2 p2 p3 c3 p1 c1 c2 check +permutation w3 r1 r2 w2 p2 p3 c3 p1 c2 c1 check +permutation w3 r1 r2 w2 p2 p3 c3 c2 p1 c1 check +permutation w3 r1 r2 w2 p3 p1 p2 c3 c1 c2 check +permutation w3 r1 r2 w2 p3 p1 p2 c3 c2 c1 check +permutation w3 r1 r2 w2 p3 p1 c3 p2 c1 c2 check +permutation w3 r1 r2 w2 p3 p1 c3 p2 c2 c1 check +permutation w3 r1 r2 w2 p3 p1 c3 c1 p2 c2 check +permutation w3 r1 r2 w2 p3 p2 p1 c3 c1 c2 check +permutation w3 r1 r2 w2 p3 p2 p1 c3 c2 c1 check +permutation w3 r1 r2 w2 p3 p2 c3 p1 c1 c2 check +permutation w3 r1 r2 w2 p3 p2 c3 p1 c2 c1 check +permutation w3 r1 r2 w2 p3 p2 c3 c2 p1 c1 check +permutation w3 r1 r2 w2 p3 c3 p1 p2 c1 c2 check +permutation w3 r1 r2 w2 p3 c3 p1 p2 c2 c1 check +permutation w3 r1 r2 w2 p3 c3 p1 c1 p2 c2 check +permutation w3 r1 r2 w2 p3 c3 p2 p1 c1 c2 check +permutation w3 r1 r2 w2 p3 c3 p2 p1 c2 c1 check +permutation w3 r1 r2 w2 p3 c3 p2 c2 p1 c1 check +permutation w3 r1 r2 p1 w2 p2 p3 c3 c1 c2 check +permutation w3 r1 r2 p1 w2 p2 p3 c3 c2 c1 check +permutation w3 r1 r2 p1 w2 p3 p2 c3 c1 c2 check +permutation w3 r1 r2 p1 w2 p3 p2 c3 c2 c1 check +permutation w3 r1 r2 p1 w2 p3 c3 p2 c1 c2 check +permutation w3 r1 r2 p1 w2 p3 c3 p2 c2 c1 check +permutation w3 r1 r2 p1 w2 p3 c3 c1 p2 c2 check +permutation w3 r1 r2 p1 p3 w2 p2 c3 c1 c2 check +permutation w3 r1 r2 p1 p3 w2 p2 c3 c2 c1 check +permutation w3 r1 r2 p1 p3 w2 c3 p2 c1 c2 check +permutation w3 r1 r2 p1 p3 w2 c3 p2 c2 c1 check +permutation w3 r1 r2 p1 p3 w2 c3 c1 p2 c2 check +permutation w3 r1 r2 p1 p3 c3 w2 p2 c1 c2 check +permutation w3 r1 r2 p1 p3 c3 w2 p2 c2 c1 check +permutation w3 r1 r2 p1 p3 c3 w2 c1 p2 c2 check +permutation w3 r1 r2 p1 p3 c3 c1 w2 p2 c2 check +permutation w3 r1 r2 p3 w2 p1 p2 c3 c1 c2 check +permutation w3 r1 r2 p3 w2 p1 p2 c3 c2 c1 check +permutation w3 r1 r2 p3 w2 p1 c3 p2 c1 c2 check +permutation w3 r1 r2 p3 w2 p1 c3 p2 c2 c1 check +permutation w3 r1 r2 p3 w2 p1 c3 c1 p2 c2 check +permutation w3 r1 r2 p3 w2 p2 p1 c3 c1 c2 check +permutation w3 r1 r2 p3 w2 p2 p1 c3 c2 c1 check +permutation w3 r1 r2 p3 w2 p2 c3 p1 c1 c2 check +permutation w3 r1 r2 p3 w2 p2 c3 p1 c2 c1 check +permutation w3 r1 r2 p3 w2 p2 c3 c2 p1 c1 check +permutation w3 r1 r2 p3 w2 c3 p1 p2 c1 c2 check +permutation w3 r1 r2 p3 w2 c3 p1 p2 c2 c1 check +permutation w3 r1 r2 p3 w2 c3 p1 c1 p2 c2 check +permutation w3 r1 r2 p3 w2 c3 p2 p1 c1 c2 check +permutation w3 r1 r2 p3 w2 c3 p2 p1 c2 c1 check +permutation w3 r1 r2 p3 w2 c3 p2 c2 p1 c1 check +permutation w3 r1 r2 p3 p1 w2 p2 c3 c1 c2 check +permutation w3 r1 r2 p3 p1 w2 p2 c3 c2 c1 check +permutation w3 r1 r2 p3 p1 w2 c3 p2 c1 c2 check +permutation w3 r1 r2 p3 p1 w2 c3 p2 c2 c1 check +permutation w3 r1 r2 p3 p1 w2 c3 c1 p2 c2 check +permutation w3 r1 r2 p3 p1 c3 w2 p2 c1 c2 check 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w2 r2 p2 p1 p3 c3 c1 c2 check +permutation w3 r1 w2 r2 p2 p1 p3 c3 c2 c1 check +permutation w3 r1 w2 r2 p2 p3 p1 c3 c1 c2 check +permutation w3 r1 w2 r2 p2 p3 p1 c3 c2 c1 check +permutation w3 r1 w2 r2 p2 p3 c3 p1 c1 c2 check +permutation w3 r1 w2 r2 p2 p3 c3 p1 c2 c1 check +permutation w3 r1 w2 r2 p2 p3 c3 c2 p1 c1 check +permutation w3 r1 w2 r2 p3 p1 p2 c3 c1 c2 check +permutation w3 r1 w2 r2 p3 p1 p2 c3 c2 c1 check +permutation w3 r1 w2 r2 p3 p1 c3 p2 c1 c2 check +permutation w3 r1 w2 r2 p3 p1 c3 p2 c2 c1 check +permutation w3 r1 w2 r2 p3 p1 c3 c1 p2 c2 check +permutation w3 r1 w2 r2 p3 p2 p1 c3 c1 c2 check +permutation w3 r1 w2 r2 p3 p2 p1 c3 c2 c1 check +permutation w3 r1 w2 r2 p3 p2 c3 p1 c1 c2 check +permutation w3 r1 w2 r2 p3 p2 c3 p1 c2 c1 check +permutation w3 r1 w2 r2 p3 p2 c3 c2 p1 c1 check +permutation w3 r1 w2 r2 p3 c3 p1 p2 c1 c2 check +permutation w3 r1 w2 r2 p3 c3 p1 p2 c2 c1 check +permutation w3 r1 w2 r2 p3 c3 p1 c1 p2 c2 check +permutation w3 r1 w2 r2 p3 c3 p2 p1 c1 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w2 p3 p1 c3 r2 p2 c2 c1 check +permutation w3 r1 w2 p3 p1 c3 r2 c1 p2 c2 check +permutation w3 r1 w2 p3 p1 c3 c1 r2 p2 c2 check +permutation w3 r1 w2 p3 c3 r2 p1 p2 c1 c2 check +permutation w3 r1 w2 p3 c3 r2 p1 p2 c2 c1 check +permutation w3 r1 w2 p3 c3 r2 p1 c1 p2 c2 check +permutation w3 r1 w2 p3 c3 r2 p2 p1 c1 c2 check +permutation w3 r1 w2 p3 c3 r2 p2 p1 c2 c1 check +permutation w3 r1 w2 p3 c3 r2 p2 c2 p1 c1 check +permutation w3 r1 w2 p3 c3 p1 r2 p2 c1 c2 check +permutation w3 r1 w2 p3 c3 p1 r2 p2 c2 c1 check +permutation w3 r1 w2 p3 c3 p1 r2 c1 p2 c2 check +permutation w3 r1 w2 p3 c3 p1 c1 r2 p2 c2 check +permutation w3 r1 p1 r2 w2 p2 p3 c3 c1 c2 check +permutation w3 r1 p1 r2 w2 p2 p3 c3 c2 c1 check +permutation w3 r1 p1 r2 w2 p3 p2 c3 c1 c2 check +permutation w3 r1 p1 r2 w2 p3 p2 c3 c2 c1 check +permutation w3 r1 p1 r2 w2 p3 c3 p2 c1 c2 check +permutation w3 r1 p1 r2 w2 p3 c3 p2 c2 c1 check +permutation w3 r1 p1 r2 w2 p3 c3 c1 p2 c2 check +permutation w3 r1 p1 r2 p3 w2 p2 c3 c1 c2 check +permutation w3 r1 p1 r2 p3 w2 p2 c3 c2 c1 check +permutation w3 r1 p1 r2 p3 w2 c3 p2 c1 c2 check +permutation w3 r1 p1 r2 p3 w2 c3 p2 c2 c1 check +permutation w3 r1 p1 r2 p3 w2 c3 c1 p2 c2 check +permutation w3 r1 p1 r2 p3 c3 w2 p2 c1 c2 check +permutation w3 r1 p1 r2 p3 c3 w2 p2 c2 c1 check +permutation w3 r1 p1 r2 p3 c3 w2 c1 p2 c2 check +permutation w3 r1 p1 r2 p3 c3 c1 w2 p2 c2 check +permutation w3 r1 p1 w2 r2 p2 p3 c3 c1 c2 check +permutation w3 r1 p1 w2 r2 p2 p3 c3 c2 c1 check +permutation w3 r1 p1 w2 r2 p3 p2 c3 c1 c2 check +permutation w3 r1 p1 w2 r2 p3 p2 c3 c2 c1 check +permutation w3 r1 p1 w2 r2 p3 c3 p2 c1 c2 check +permutation w3 r1 p1 w2 r2 p3 c3 p2 c2 c1 check +permutation w3 r1 p1 w2 r2 p3 c3 c1 p2 c2 check +permutation w3 r1 p1 w2 p3 r2 p2 c3 c1 c2 check +permutation w3 r1 p1 w2 p3 r2 p2 c3 c2 c1 check +permutation w3 r1 p1 w2 p3 r2 c3 p2 c1 c2 check +permutation w3 r1 p1 w2 p3 r2 c3 p2 c2 c1 check +permutation w3 r1 p1 w2 p3 r2 c3 c1 p2 c2 check 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p1 p3 w2 c3 r2 c1 p2 c2 check +permutation w3 r1 p1 p3 w2 c3 c1 r2 p2 c2 check +permutation w3 r1 p1 p3 c3 r2 w2 p2 c1 c2 check +permutation w3 r1 p1 p3 c3 r2 w2 p2 c2 c1 check +permutation w3 r1 p1 p3 c3 r2 w2 c1 p2 c2 check +permutation w3 r1 p1 p3 c3 r2 c1 w2 p2 c2 check +permutation w3 r1 p1 p3 c3 w2 r2 p2 c1 c2 check +permutation w3 r1 p1 p3 c3 w2 r2 p2 c2 c1 check +permutation w3 r1 p1 p3 c3 w2 r2 c1 p2 c2 check +permutation w3 r1 p1 p3 c3 w2 c1 r2 p2 c2 check +permutation w3 r1 p1 p3 c3 c1 r2 w2 p2 c2 check +permutation w3 r1 p1 p3 c3 c1 w2 r2 p2 c2 check +permutation w3 r1 p3 r2 w2 p1 p2 c3 c1 c2 check +permutation w3 r1 p3 r2 w2 p1 p2 c3 c2 c1 check +permutation w3 r1 p3 r2 w2 p1 c3 p2 c1 c2 check +permutation w3 r1 p3 r2 w2 p1 c3 p2 c2 c1 check +permutation w3 r1 p3 r2 w2 p1 c3 c1 p2 c2 check +permutation w3 r1 p3 r2 w2 p2 p1 c3 c1 c2 check +permutation w3 r1 p3 r2 w2 p2 p1 c3 c2 c1 check +permutation w3 r1 p3 r2 w2 p2 c3 p1 c1 c2 check +permutation w3 r1 p3 r2 w2 p2 c3 p1 c2 c1 check +permutation w3 r1 p3 r2 w2 p2 c3 c2 p1 c1 check +permutation w3 r1 p3 r2 w2 c3 p1 p2 c1 c2 check +permutation w3 r1 p3 r2 w2 c3 p1 p2 c2 c1 check +permutation w3 r1 p3 r2 w2 c3 p1 c1 p2 c2 check +permutation w3 r1 p3 r2 w2 c3 p2 p1 c1 c2 check +permutation w3 r1 p3 r2 w2 c3 p2 p1 c2 c1 check +permutation w3 r1 p3 r2 w2 c3 p2 c2 p1 c1 check +permutation w3 r1 p3 r2 p1 w2 p2 c3 c1 c2 check +permutation w3 r1 p3 r2 p1 w2 p2 c3 c2 c1 check +permutation w3 r1 p3 r2 p1 w2 c3 p2 c1 c2 check +permutation w3 r1 p3 r2 p1 w2 c3 p2 c2 c1 check +permutation w3 r1 p3 r2 p1 w2 c3 c1 p2 c2 check +permutation w3 r1 p3 r2 p1 c3 w2 p2 c1 c2 check +permutation w3 r1 p3 r2 p1 c3 w2 p2 c2 c1 check +permutation w3 r1 p3 r2 p1 c3 w2 c1 p2 c2 check +permutation w3 r1 p3 r2 p1 c3 c1 w2 p2 c2 check +permutation w3 r1 p3 r2 c3 w2 p1 p2 c1 c2 check +permutation w3 r1 p3 r2 c3 w2 p1 p2 c2 c1 check +permutation w3 r1 p3 r2 c3 w2 p1 c1 p2 c2 check +permutation w3 r1 p3 r2 c3 w2 p2 p1 c1 c2 check 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p3 w2 r2 c3 p2 p1 c2 c1 check +permutation w3 r1 p3 w2 r2 c3 p2 c2 p1 c1 check +permutation w3 r1 p3 w2 p1 r2 p2 c3 c1 c2 check +permutation w3 r1 p3 w2 p1 r2 p2 c3 c2 c1 check +permutation w3 r1 p3 w2 p1 r2 c3 p2 c1 c2 check +permutation w3 r1 p3 w2 p1 r2 c3 p2 c2 c1 check +permutation w3 r1 p3 w2 p1 r2 c3 c1 p2 c2 check +permutation w3 r1 p3 w2 p1 c3 r2 p2 c1 c2 check +permutation w3 r1 p3 w2 p1 c3 r2 p2 c2 c1 check +permutation w3 r1 p3 w2 p1 c3 r2 c1 p2 c2 check +permutation w3 r1 p3 w2 p1 c3 c1 r2 p2 c2 check +permutation w3 r1 p3 w2 c3 r2 p1 p2 c1 c2 check +permutation w3 r1 p3 w2 c3 r2 p1 p2 c2 c1 check +permutation w3 r1 p3 w2 c3 r2 p1 c1 p2 c2 check +permutation w3 r1 p3 w2 c3 r2 p2 p1 c1 c2 check +permutation w3 r1 p3 w2 c3 r2 p2 p1 c2 c1 check +permutation w3 r1 p3 w2 c3 r2 p2 c2 p1 c1 check +permutation w3 r1 p3 w2 c3 p1 r2 p2 c1 c2 check +permutation w3 r1 p3 w2 c3 p1 r2 p2 c2 c1 check +permutation w3 r1 p3 w2 c3 p1 r2 c1 p2 c2 check +permutation w3 r1 p3 w2 c3 p1 c1 r2 p2 c2 check +permutation w3 r1 p3 p1 r2 w2 p2 c3 c1 c2 check +permutation w3 r1 p3 p1 r2 w2 p2 c3 c2 c1 check +permutation w3 r1 p3 p1 r2 w2 c3 p2 c1 c2 check +permutation w3 r1 p3 p1 r2 w2 c3 p2 c2 c1 check +permutation w3 r1 p3 p1 r2 w2 c3 c1 p2 c2 check +permutation w3 r1 p3 p1 r2 c3 w2 p2 c1 c2 check +permutation w3 r1 p3 p1 r2 c3 w2 p2 c2 c1 check +permutation w3 r1 p3 p1 r2 c3 w2 c1 p2 c2 check +permutation w3 r1 p3 p1 r2 c3 c1 w2 p2 c2 check +permutation w3 r1 p3 p1 w2 r2 p2 c3 c1 c2 check +permutation w3 r1 p3 p1 w2 r2 p2 c3 c2 c1 check +permutation w3 r1 p3 p1 w2 r2 c3 p2 c1 c2 check +permutation w3 r1 p3 p1 w2 r2 c3 p2 c2 c1 check +permutation w3 r1 p3 p1 w2 r2 c3 c1 p2 c2 check +permutation w3 r1 p3 p1 w2 c3 r2 p2 c1 c2 check +permutation w3 r1 p3 p1 w2 c3 r2 p2 c2 c1 check +permutation w3 r1 p3 p1 w2 c3 r2 c1 p2 c2 check +permutation w3 r1 p3 p1 w2 c3 c1 r2 p2 c2 check +permutation w3 r1 p3 p1 c3 r2 w2 p2 c1 c2 check +permutation w3 r1 p3 p1 c3 r2 w2 p2 c2 c1 check 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p3 c3 w2 r2 p1 c1 p2 c2 check +permutation w3 r1 p3 c3 w2 r2 p2 p1 c1 c2 check +permutation w3 r1 p3 c3 w2 r2 p2 p1 c2 c1 check +permutation w3 r1 p3 c3 w2 r2 p2 c2 p1 c1 check +permutation w3 r1 p3 c3 w2 p1 r2 p2 c1 c2 check +permutation w3 r1 p3 c3 w2 p1 r2 p2 c2 c1 check +permutation w3 r1 p3 c3 w2 p1 r2 c1 p2 c2 check +permutation w3 r1 p3 c3 w2 p1 c1 r2 p2 c2 check +permutation w3 r1 p3 c3 p1 r2 w2 p2 c1 c2 check +permutation w3 r1 p3 c3 p1 r2 w2 p2 c2 c1 check +permutation w3 r1 p3 c3 p1 r2 w2 c1 p2 c2 check +permutation w3 r1 p3 c3 p1 r2 c1 w2 p2 c2 check +permutation w3 r1 p3 c3 p1 w2 r2 p2 c1 c2 check +permutation w3 r1 p3 c3 p1 w2 r2 p2 c2 c1 check +permutation w3 r1 p3 c3 p1 w2 r2 c1 p2 c2 check +permutation w3 r1 p3 c3 p1 w2 c1 r2 p2 c2 check +permutation w3 r1 p3 c3 p1 c1 r2 w2 p2 c2 check +permutation w3 r1 p3 c3 p1 c1 w2 r2 p2 c2 check +permutation w3 r2 r1 w2 p1 p2 p3 c3 c1 c2 check +permutation w3 r2 r1 w2 p1 p2 p3 c3 c2 c1 check +permutation w3 r2 r1 w2 p1 p3 p2 c3 c1 c2 check +permutation w3 r2 r1 w2 p1 p3 p2 c3 c2 c1 check +permutation w3 r2 r1 w2 p1 p3 c3 p2 c1 c2 check +permutation w3 r2 r1 w2 p1 p3 c3 p2 c2 c1 check +permutation w3 r2 r1 w2 p1 p3 c3 c1 p2 c2 check +permutation w3 r2 r1 w2 p2 p1 p3 c3 c1 c2 check +permutation w3 r2 r1 w2 p2 p1 p3 c3 c2 c1 check +permutation w3 r2 r1 w2 p2 p3 p1 c3 c1 c2 check +permutation w3 r2 r1 w2 p2 p3 p1 c3 c2 c1 check +permutation w3 r2 r1 w2 p2 p3 c3 p1 c1 c2 check +permutation w3 r2 r1 w2 p2 p3 c3 p1 c2 c1 check +permutation w3 r2 r1 w2 p2 p3 c3 c2 p1 c1 check +permutation w3 r2 r1 w2 p3 p1 p2 c3 c1 c2 check +permutation w3 r2 r1 w2 p3 p1 p2 c3 c2 c1 check +permutation w3 r2 r1 w2 p3 p1 c3 p2 c1 c2 check +permutation w3 r2 r1 w2 p3 p1 c3 p2 c2 c1 check +permutation w3 r2 r1 w2 p3 p1 c3 c1 p2 c2 check +permutation w3 r2 r1 w2 p3 p2 p1 c3 c1 c2 check +permutation w3 r2 r1 w2 p3 p2 p1 c3 c2 c1 check +permutation w3 r2 r1 w2 p3 p2 c3 p1 c1 c2 check +permutation w3 r2 r1 w2 p3 p2 c3 p1 c2 c1 check 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r1 p1 p3 c3 w2 p2 c2 c1 check +permutation w3 r2 r1 p1 p3 c3 w2 c1 p2 c2 check +permutation w3 r2 r1 p1 p3 c3 c1 w2 p2 c2 check +permutation w3 r2 r1 p3 w2 p1 p2 c3 c1 c2 check +permutation w3 r2 r1 p3 w2 p1 p2 c3 c2 c1 check +permutation w3 r2 r1 p3 w2 p1 c3 p2 c1 c2 check +permutation w3 r2 r1 p3 w2 p1 c3 p2 c2 c1 check +permutation w3 r2 r1 p3 w2 p1 c3 c1 p2 c2 check +permutation w3 r2 r1 p3 w2 p2 p1 c3 c1 c2 check +permutation w3 r2 r1 p3 w2 p2 p1 c3 c2 c1 check +permutation w3 r2 r1 p3 w2 p2 c3 p1 c1 c2 check +permutation w3 r2 r1 p3 w2 p2 c3 p1 c2 c1 check +permutation w3 r2 r1 p3 w2 p2 c3 c2 p1 c1 check +permutation w3 r2 r1 p3 w2 c3 p1 p2 c1 c2 check +permutation w3 r2 r1 p3 w2 c3 p1 p2 c2 c1 check +permutation w3 r2 r1 p3 w2 c3 p1 c1 p2 c2 check +permutation w3 r2 r1 p3 w2 c3 p2 p1 c1 c2 check +permutation w3 r2 r1 p3 w2 c3 p2 p1 c2 c1 check +permutation w3 r2 r1 p3 w2 c3 p2 c2 p1 c1 check +permutation w3 r2 r1 p3 p1 w2 p2 c3 c1 c2 check +permutation w3 r2 r1 p3 p1 w2 p2 c3 c2 c1 check +permutation w3 r2 r1 p3 p1 w2 c3 p2 c1 c2 check +permutation w3 r2 r1 p3 p1 w2 c3 p2 c2 c1 check +permutation w3 r2 r1 p3 p1 w2 c3 c1 p2 c2 check +permutation w3 r2 r1 p3 p1 c3 w2 p2 c1 c2 check +permutation w3 r2 r1 p3 p1 c3 w2 p2 c2 c1 check +permutation w3 r2 r1 p3 p1 c3 w2 c1 p2 c2 check +permutation w3 r2 r1 p3 p1 c3 c1 w2 p2 c2 check +permutation w3 r2 r1 p3 c3 w2 p1 p2 c1 c2 check +permutation w3 r2 r1 p3 c3 w2 p1 p2 c2 c1 check +permutation w3 r2 r1 p3 c3 w2 p1 c1 p2 c2 check +permutation w3 r2 r1 p3 c3 w2 p2 p1 c1 c2 check +permutation w3 r2 r1 p3 c3 w2 p2 p1 c2 c1 check +permutation w3 r2 r1 p3 c3 w2 p2 c2 p1 c1 check +permutation w3 r2 r1 p3 c3 p1 w2 p2 c1 c2 check +permutation w3 r2 r1 p3 c3 p1 w2 p2 c2 c1 check +permutation w3 r2 r1 p3 c3 p1 w2 c1 p2 c2 check +permutation w3 r2 r1 p3 c3 p1 c1 w2 p2 c2 check +permutation w3 r2 p3 r1 w2 p1 p2 c3 c1 c2 check +permutation w3 r2 p3 r1 w2 p1 p2 c3 c2 c1 check +permutation w3 r2 p3 r1 w2 p1 c3 p2 c1 c2 check +permutation w3 r2 p3 r1 w2 p1 c3 p2 c2 c1 check +permutation w3 r2 p3 r1 w2 p1 c3 c1 p2 c2 check +permutation w3 r2 p3 r1 w2 p2 p1 c3 c1 c2 check +permutation w3 r2 p3 r1 w2 p2 p1 c3 c2 c1 check +permutation w3 r2 p3 r1 w2 p2 c3 p1 c1 c2 check +permutation w3 r2 p3 r1 w2 p2 c3 p1 c2 c1 check +permutation w3 r2 p3 r1 w2 p2 c3 c2 p1 c1 check +permutation w3 r2 p3 r1 w2 c3 p1 p2 c1 c2 check +permutation w3 r2 p3 r1 w2 c3 p1 p2 c2 c1 check +permutation w3 r2 p3 r1 w2 c3 p1 c1 p2 c2 check +permutation w3 r2 p3 r1 w2 c3 p2 p1 c1 c2 check +permutation w3 r2 p3 r1 w2 c3 p2 p1 c2 c1 check +permutation w3 r2 p3 r1 w2 c3 p2 c2 p1 c1 check +permutation w3 r2 p3 r1 p1 w2 p2 c3 c1 c2 check +permutation w3 r2 p3 r1 p1 w2 p2 c3 c2 c1 check +permutation w3 r2 p3 r1 p1 w2 c3 p2 c1 c2 check +permutation w3 r2 p3 r1 p1 w2 c3 p2 c2 c1 check +permutation w3 r2 p3 r1 p1 w2 c3 c1 p2 c2 check +permutation w3 r2 p3 r1 p1 c3 w2 p2 c1 c2 check +permutation w3 r2 p3 r1 p1 c3 w2 p2 c2 c1 check +permutation w3 r2 p3 r1 p1 c3 w2 c1 p2 c2 check +permutation w3 r2 p3 r1 p1 c3 c1 w2 p2 c2 check +permutation w3 r2 p3 r1 c3 w2 p1 p2 c1 c2 check +permutation w3 r2 p3 r1 c3 w2 p1 p2 c2 c1 check +permutation w3 r2 p3 r1 c3 w2 p1 c1 p2 c2 check +permutation w3 r2 p3 r1 c3 w2 p2 p1 c1 c2 check +permutation w3 r2 p3 r1 c3 w2 p2 p1 c2 c1 check +permutation w3 r2 p3 r1 c3 w2 p2 c2 p1 c1 check +permutation w3 r2 p3 r1 c3 p1 w2 p2 c1 c2 check +permutation w3 r2 p3 r1 c3 p1 w2 p2 c2 c1 check +permutation w3 r2 p3 r1 c3 p1 w2 c1 p2 c2 check +permutation w3 r2 p3 r1 c3 p1 c1 w2 p2 c2 check +permutation w3 r2 p3 c3 r1 w2 p1 p2 c1 c2 check +permutation w3 r2 p3 c3 r1 w2 p1 p2 c2 c1 check +permutation w3 r2 p3 c3 r1 w2 p1 c1 p2 c2 check +permutation w3 r2 p3 c3 r1 w2 p2 p1 c1 c2 check +permutation w3 r2 p3 c3 r1 w2 p2 p1 c2 c1 check +permutation w3 r2 p3 c3 r1 w2 p2 c2 p1 c1 check +permutation w3 r2 p3 c3 r1 p1 w2 p2 c1 c2 check +permutation w3 r2 p3 c3 r1 p1 w2 p2 c2 c1 check +permutation w3 r2 p3 c3 r1 p1 w2 c1 p2 c2 check +permutation w3 r2 p3 c3 r1 p1 c1 w2 p2 c2 check +permutation w3 p3 r1 r2 w2 p1 p2 c3 c1 c2 check +permutation w3 p3 r1 r2 w2 p1 p2 c3 c2 c1 check +permutation w3 p3 r1 r2 w2 p1 c3 p2 c1 c2 check +permutation w3 p3 r1 r2 w2 p1 c3 p2 c2 c1 check +permutation w3 p3 r1 r2 w2 p1 c3 c1 p2 c2 check +permutation w3 p3 r1 r2 w2 p2 p1 c3 c1 c2 check +permutation w3 p3 r1 r2 w2 p2 p1 c3 c2 c1 check +permutation w3 p3 r1 r2 w2 p2 c3 p1 c1 c2 check +permutation w3 p3 r1 r2 w2 p2 c3 p1 c2 c1 check +permutation w3 p3 r1 r2 w2 p2 c3 c2 p1 c1 check +permutation w3 p3 r1 r2 w2 c3 p1 p2 c1 c2 check +permutation w3 p3 r1 r2 w2 c3 p1 p2 c2 c1 check +permutation w3 p3 r1 r2 w2 c3 p1 c1 p2 c2 check +permutation w3 p3 r1 r2 w2 c3 p2 p1 c1 c2 check +permutation w3 p3 r1 r2 w2 c3 p2 p1 c2 c1 check +permutation w3 p3 r1 r2 w2 c3 p2 c2 p1 c1 check +permutation w3 p3 r1 r2 p1 w2 p2 c3 c1 c2 check +permutation w3 p3 r1 r2 p1 w2 p2 c3 c2 c1 check +permutation w3 p3 r1 r2 p1 w2 c3 p2 c1 c2 check +permutation w3 p3 r1 r2 p1 w2 c3 p2 c2 c1 check +permutation w3 p3 r1 r2 p1 w2 c3 c1 p2 c2 check +permutation w3 p3 r1 r2 p1 c3 w2 p2 c1 c2 check +permutation w3 p3 r1 r2 p1 c3 w2 p2 c2 c1 check +permutation w3 p3 r1 r2 p1 c3 w2 c1 p2 c2 check +permutation w3 p3 r1 r2 p1 c3 c1 w2 p2 c2 check +permutation w3 p3 r1 r2 c3 w2 p1 p2 c1 c2 check +permutation w3 p3 r1 r2 c3 w2 p1 p2 c2 c1 check +permutation w3 p3 r1 r2 c3 w2 p1 c1 p2 c2 check +permutation w3 p3 r1 r2 c3 w2 p2 p1 c1 c2 check +permutation w3 p3 r1 r2 c3 w2 p2 p1 c2 c1 check +permutation w3 p3 r1 r2 c3 w2 p2 c2 p1 c1 check +permutation w3 p3 r1 r2 c3 p1 w2 p2 c1 c2 check +permutation w3 p3 r1 r2 c3 p1 w2 p2 c2 c1 check +permutation w3 p3 r1 r2 c3 p1 w2 c1 p2 c2 check +permutation w3 p3 r1 r2 c3 p1 c1 w2 p2 c2 check +permutation w3 p3 r1 w2 r2 p1 p2 c3 c1 c2 check +permutation w3 p3 r1 w2 r2 p1 p2 c3 c2 c1 check +permutation w3 p3 r1 w2 r2 p1 c3 p2 c1 c2 check +permutation w3 p3 r1 w2 r2 p1 c3 p2 c2 c1 check +permutation w3 p3 r1 w2 r2 p1 c3 c1 p2 c2 check +permutation w3 p3 r1 w2 r2 p2 p1 c3 c1 c2 check +permutation w3 p3 r1 w2 r2 p2 p1 c3 c2 c1 check +permutation w3 p3 r1 w2 r2 p2 c3 p1 c1 c2 check +permutation w3 p3 r1 w2 r2 p2 c3 p1 c2 c1 check +permutation w3 p3 r1 w2 r2 p2 c3 c2 p1 c1 check +permutation w3 p3 r1 w2 r2 c3 p1 p2 c1 c2 check +permutation w3 p3 r1 w2 r2 c3 p1 p2 c2 c1 check +permutation w3 p3 r1 w2 r2 c3 p1 c1 p2 c2 check +permutation w3 p3 r1 w2 r2 c3 p2 p1 c1 c2 check +permutation w3 p3 r1 w2 r2 c3 p2 p1 c2 c1 check +permutation w3 p3 r1 w2 r2 c3 p2 c2 p1 c1 check +permutation w3 p3 r1 w2 p1 r2 p2 c3 c1 c2 check +permutation w3 p3 r1 w2 p1 r2 p2 c3 c2 c1 check +permutation w3 p3 r1 w2 p1 r2 c3 p2 c1 c2 check +permutation w3 p3 r1 w2 p1 r2 c3 p2 c2 c1 check +permutation w3 p3 r1 w2 p1 r2 c3 c1 p2 c2 check +permutation w3 p3 r1 w2 p1 c3 r2 p2 c1 c2 check +permutation w3 p3 r1 w2 p1 c3 r2 p2 c2 c1 check +permutation w3 p3 r1 w2 p1 c3 r2 c1 p2 c2 check +permutation w3 p3 r1 w2 p1 c3 c1 r2 p2 c2 check +permutation w3 p3 r1 w2 c3 r2 p1 p2 c1 c2 check +permutation w3 p3 r1 w2 c3 r2 p1 p2 c2 c1 check +permutation w3 p3 r1 w2 c3 r2 p1 c1 p2 c2 check +permutation w3 p3 r1 w2 c3 r2 p2 p1 c1 c2 check +permutation w3 p3 r1 w2 c3 r2 p2 p1 c2 c1 check +permutation w3 p3 r1 w2 c3 r2 p2 c2 p1 c1 check +permutation w3 p3 r1 w2 c3 p1 r2 p2 c1 c2 check +permutation w3 p3 r1 w2 c3 p1 r2 p2 c2 c1 check +permutation w3 p3 r1 w2 c3 p1 r2 c1 p2 c2 check +permutation w3 p3 r1 w2 c3 p1 c1 r2 p2 c2 check +permutation w3 p3 r1 p1 r2 w2 p2 c3 c1 c2 check +permutation w3 p3 r1 p1 r2 w2 p2 c3 c2 c1 check +permutation w3 p3 r1 p1 r2 w2 c3 p2 c1 c2 check +permutation w3 p3 r1 p1 r2 w2 c3 p2 c2 c1 check +permutation w3 p3 r1 p1 r2 w2 c3 c1 p2 c2 check +permutation w3 p3 r1 p1 r2 c3 w2 p2 c1 c2 check +permutation w3 p3 r1 p1 r2 c3 w2 p2 c2 c1 check +permutation w3 p3 r1 p1 r2 c3 w2 c1 p2 c2 check +permutation w3 p3 r1 p1 r2 c3 c1 w2 p2 c2 check +permutation w3 p3 r1 p1 w2 r2 p2 c3 c1 c2 check +permutation w3 p3 r1 p1 w2 r2 p2 c3 c2 c1 check +permutation w3 p3 r1 p1 w2 r2 c3 p2 c1 c2 check +permutation w3 p3 r1 p1 w2 r2 c3 p2 c2 c1 check +permutation w3 p3 r1 p1 w2 r2 c3 c1 p2 c2 check +permutation w3 p3 r1 p1 w2 c3 r2 p2 c1 c2 check +permutation w3 p3 r1 p1 w2 c3 r2 p2 c2 c1 check +permutation w3 p3 r1 p1 w2 c3 r2 c1 p2 c2 check +permutation w3 p3 r1 p1 w2 c3 c1 r2 p2 c2 check +permutation w3 p3 r1 p1 c3 r2 w2 p2 c1 c2 check +permutation w3 p3 r1 p1 c3 r2 w2 p2 c2 c1 check +permutation w3 p3 r1 p1 c3 r2 w2 c1 p2 c2 check +permutation w3 p3 r1 p1 c3 r2 c1 w2 p2 c2 check +permutation w3 p3 r1 p1 c3 w2 r2 p2 c1 c2 check +permutation w3 p3 r1 p1 c3 w2 r2 p2 c2 c1 check +permutation w3 p3 r1 p1 c3 w2 r2 c1 p2 c2 check +permutation w3 p3 r1 p1 c3 w2 c1 r2 p2 c2 check +permutation w3 p3 r1 p1 c3 c1 r2 w2 p2 c2 check +permutation w3 p3 r1 p1 c3 c1 w2 r2 p2 c2 check +permutation w3 p3 r1 c3 r2 w2 p1 p2 c1 c2 check +permutation w3 p3 r1 c3 r2 w2 p1 p2 c2 c1 check +permutation w3 p3 r1 c3 r2 w2 p1 c1 p2 c2 check +permutation w3 p3 r1 c3 r2 w2 p2 p1 c1 c2 check +permutation w3 p3 r1 c3 r2 w2 p2 p1 c2 c1 check +permutation w3 p3 r1 c3 r2 w2 p2 c2 p1 c1 check +permutation w3 p3 r1 c3 r2 p1 w2 p2 c1 c2 check +permutation w3 p3 r1 c3 r2 p1 w2 p2 c2 c1 check +permutation w3 p3 r1 c3 r2 p1 w2 c1 p2 c2 check +permutation w3 p3 r1 c3 r2 p1 c1 w2 p2 c2 check +permutation w3 p3 r1 c3 w2 r2 p1 p2 c1 c2 check +permutation w3 p3 r1 c3 w2 r2 p1 p2 c2 c1 check +permutation w3 p3 r1 c3 w2 r2 p1 c1 p2 c2 check +permutation w3 p3 r1 c3 w2 r2 p2 p1 c1 c2 check +permutation w3 p3 r1 c3 w2 r2 p2 p1 c2 c1 check +permutation w3 p3 r1 c3 w2 r2 p2 c2 p1 c1 check +permutation w3 p3 r1 c3 w2 p1 r2 p2 c1 c2 check +permutation w3 p3 r1 c3 w2 p1 r2 p2 c2 c1 check +permutation w3 p3 r1 c3 w2 p1 r2 c1 p2 c2 check +permutation w3 p3 r1 c3 w2 p1 c1 r2 p2 c2 check +permutation w3 p3 r1 c3 p1 r2 w2 p2 c1 c2 check +permutation w3 p3 r1 c3 p1 r2 w2 p2 c2 c1 check +permutation w3 p3 r1 c3 p1 r2 w2 c1 p2 c2 check +permutation w3 p3 r1 c3 p1 r2 c1 w2 p2 c2 check +permutation w3 p3 r1 c3 p1 w2 r2 p2 c1 c2 check +permutation w3 p3 r1 c3 p1 w2 r2 p2 c2 c1 check +permutation w3 p3 r1 c3 p1 w2 r2 c1 p2 c2 check +permutation w3 p3 r1 c3 p1 w2 c1 r2 p2 c2 check +permutation w3 p3 r1 c3 p1 c1 r2 w2 p2 c2 check +permutation w3 p3 r1 c3 p1 c1 w2 r2 p2 c2 check +permutation w3 p3 r2 r1 w2 p1 p2 c3 c1 c2 check +permutation w3 p3 r2 r1 w2 p1 p2 c3 c2 c1 check +permutation w3 p3 r2 r1 w2 p1 c3 p2 c1 c2 check +permutation w3 p3 r2 r1 w2 p1 c3 p2 c2 c1 check +permutation w3 p3 r2 r1 w2 p1 c3 c1 p2 c2 check +permutation w3 p3 r2 r1 w2 p2 p1 c3 c1 c2 check +permutation w3 p3 r2 r1 w2 p2 p1 c3 c2 c1 check +permutation w3 p3 r2 r1 w2 p2 c3 p1 c1 c2 check +permutation w3 p3 r2 r1 w2 p2 c3 p1 c2 c1 check +permutation w3 p3 r2 r1 w2 p2 c3 c2 p1 c1 check +permutation w3 p3 r2 r1 w2 c3 p1 p2 c1 c2 check +permutation w3 p3 r2 r1 w2 c3 p1 p2 c2 c1 check +permutation w3 p3 r2 r1 w2 c3 p1 c1 p2 c2 check +permutation w3 p3 r2 r1 w2 c3 p2 p1 c1 c2 check +permutation w3 p3 r2 r1 w2 c3 p2 p1 c2 c1 check +permutation w3 p3 r2 r1 w2 c3 p2 c2 p1 c1 check +permutation w3 p3 r2 r1 p1 w2 p2 c3 c1 c2 check +permutation w3 p3 r2 r1 p1 w2 p2 c3 c2 c1 check +permutation w3 p3 r2 r1 p1 w2 c3 p2 c1 c2 check +permutation w3 p3 r2 r1 p1 w2 c3 p2 c2 c1 check +permutation w3 p3 r2 r1 p1 w2 c3 c1 p2 c2 check +permutation w3 p3 r2 r1 p1 c3 w2 p2 c1 c2 check +permutation w3 p3 r2 r1 p1 c3 w2 p2 c2 c1 check +permutation w3 p3 r2 r1 p1 c3 w2 c1 p2 c2 check +permutation w3 p3 r2 r1 p1 c3 c1 w2 p2 c2 check +permutation w3 p3 r2 r1 c3 w2 p1 p2 c1 c2 check +permutation w3 p3 r2 r1 c3 w2 p1 p2 c2 c1 check +permutation w3 p3 r2 r1 c3 w2 p1 c1 p2 c2 check +permutation w3 p3 r2 r1 c3 w2 p2 p1 c1 c2 check +permutation w3 p3 r2 r1 c3 w2 p2 p1 c2 c1 check +permutation w3 p3 r2 r1 c3 w2 p2 c2 p1 c1 check +permutation w3 p3 r2 r1 c3 p1 w2 p2 c1 c2 check +permutation w3 p3 r2 r1 c3 p1 w2 p2 c2 c1 check +permutation w3 p3 r2 r1 c3 p1 w2 c1 p2 c2 check +permutation w3 p3 r2 r1 c3 p1 c1 w2 p2 c2 check +permutation w3 p3 r2 c3 r1 w2 p1 p2 c1 c2 check +permutation w3 p3 r2 c3 r1 w2 p1 p2 c2 c1 check +permutation w3 p3 r2 c3 r1 w2 p1 c1 p2 c2 check +permutation w3 p3 r2 c3 r1 w2 p2 p1 c1 c2 check +permutation w3 p3 r2 c3 r1 w2 p2 p1 c2 c1 check +permutation w3 p3 r2 c3 r1 w2 p2 c2 p1 c1 check +permutation w3 p3 r2 c3 r1 p1 w2 p2 c1 c2 check +permutation w3 p3 r2 c3 r1 p1 w2 p2 c2 c1 check +permutation w3 p3 r2 c3 r1 p1 w2 c1 p2 c2 check +permutation w3 p3 r2 c3 r1 p1 c1 w2 p2 c2 check +permutation w3 p3 c3 r1 r2 w2 p1 p2 c1 c2 check +permutation w3 p3 c3 r1 r2 w2 p1 p2 c2 c1 check +permutation w3 p3 c3 r1 r2 w2 p1 c1 p2 c2 check +permutation w3 p3 c3 r1 r2 w2 p2 p1 c1 c2 check +permutation w3 p3 c3 r1 r2 w2 p2 p1 c2 c1 check +permutation w3 p3 c3 r1 r2 w2 p2 c2 p1 c1 check +permutation w3 p3 c3 r1 r2 p1 w2 p2 c1 c2 check +permutation w3 p3 c3 r1 r2 p1 w2 p2 c2 c1 check +permutation w3 p3 c3 r1 r2 p1 w2 c1 p2 c2 check +permutation w3 p3 c3 r1 r2 p1 c1 w2 p2 c2 check +permutation w3 p3 c3 r1 w2 r2 p1 p2 c1 c2 check +permutation w3 p3 c3 r1 w2 r2 p1 p2 c2 c1 check +permutation w3 p3 c3 r1 w2 r2 p1 c1 p2 c2 check +permutation w3 p3 c3 r1 w2 r2 p2 p1 c1 c2 check +permutation w3 p3 c3 r1 w2 r2 p2 p1 c2 c1 check +permutation w3 p3 c3 r1 w2 r2 p2 c2 p1 c1 check +permutation w3 p3 c3 r1 w2 p1 r2 p2 c1 c2 check +permutation w3 p3 c3 r1 w2 p1 r2 p2 c2 c1 check +permutation w3 p3 c3 r1 w2 p1 r2 c1 p2 c2 check +permutation w3 p3 c3 r1 w2 p1 c1 r2 p2 c2 check +permutation w3 p3 c3 r1 p1 r2 w2 p2 c1 c2 check +permutation w3 p3 c3 r1 p1 r2 w2 p2 c2 c1 check +permutation w3 p3 c3 r1 p1 r2 w2 c1 p2 c2 check +permutation w3 p3 c3 r1 p1 r2 c1 w2 p2 c2 check +permutation w3 p3 c3 r1 p1 w2 r2 p2 c1 c2 check +permutation w3 p3 c3 r1 p1 w2 r2 p2 c2 c1 check +permutation w3 p3 c3 r1 p1 w2 r2 c1 p2 c2 check +permutation w3 p3 c3 r1 p1 w2 c1 r2 p2 c2 check +permutation w3 p3 c3 r1 p1 c1 r2 w2 p2 c2 check +permutation w3 p3 c3 r1 p1 c1 w2 r2 p2 c2 check +permutation w3 p3 c3 r2 r1 w2 p1 p2 c1 c2 check +permutation w3 p3 c3 r2 r1 w2 p1 p2 c2 c1 check +permutation w3 p3 c3 r2 r1 w2 p1 c1 p2 c2 check +permutation w3 p3 c3 r2 r1 w2 p2 p1 c1 c2 check +permutation w3 p3 c3 r2 r1 w2 p2 p1 c2 c1 check +permutation w3 p3 c3 r2 r1 w2 p2 c2 p1 c1 check +permutation w3 p3 c3 r2 r1 p1 w2 p2 c1 c2 check +permutation w3 p3 c3 r2 r1 p1 w2 p2 c2 c1 check +permutation w3 p3 c3 r2 r1 p1 w2 c1 p2 c2 check +permutation w3 p3 c3 r2 r1 p1 c1 w2 p2 c2 check |