cvp6:=
[[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]],
rperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,3,2,4,5,6],[3,2,1,4,5,6],[2,1,3,4,5,6],[1,3,2,4,5,6],[1,3,2,6,4,5],
[1,3,2,5,6,4]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,3,2,4,5,6],[3,2,1,4,5,6],[2,1,3,4,5,6],[1,3,2,4,5,6],[1,3,2,6,4,5],
[1,3,2,5,6,4]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,2,1,4,6,5],[1,2,3,4,5,6],
[3,4,1,2,5,6]],
rperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,2,1,4,6,5],[1,2,3,4,5,6],
[3,4,1,2,5,6]],
rperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,2,1,4,6,5],[1,2,3,4,5,6],
[3,4,1,2,5,6]],
rperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,2,1,4,6,5],[1,2,3,4,5,6],
[3,4,1,2,5,6]],
rperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,2,1,4,6,5],[1,2,3,4,5,6],
[3,4,1,2,5,6]],
rperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,6,1,5,2,4],[1,2,3,4,5,6],
[3,5,1,6,4,2]],
rperms:=[[1,5,3,6,2,4],[5,2,4,3,1,6],[1,5,3,6,2,4],[2,5,6,3,1,4],[2,1,6,4,5,3],
[5,1,4,6,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,6,1,5,2,4],[1,2,3,4,5,6],
[3,5,1,6,4,2]],
rperms:=[[1,5,3,6,2,4],[5,2,4,3,1,6],[1,5,3,6,2,4],[2,5,6,3,1,4],[2,1,6,4,5,3],
[5,1,4,6,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,6,1,5,2,4],[1,2,3,4,5,6],
[3,5,1,6,4,2]],
rperms:=[[1,5,3,6,2,4],[5,2,4,3,1,6],[1,5,3,6,2,4],[2,5,6,3,1,4],[2,1,6,4,5,3],
[5,1,4,6,2,3]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,6,1,5,2,4],[1,2,3,4,5,6],
[3,5,1,6,4,2]],
rperms:=[[1,5,3,6,2,4],[5,2,4,3,1,6],[1,5,3,6,2,4],[2,5,6,3,1,4],[2,1,6,4,5,3],
[5,1,4,6,2,3]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[5,2,4,3,1,6],[1,2,3,4,5,6],[2,5,6,3,1,4],[2,1,6,4,5,3],
[5,1,4,6,2,3]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],
[3,4,1,2,6,5]])],[rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[5,2,4,3,1,6],[1,2,3,4,5,6],[2,5,6,3,1,4],[2,1,6,4,5,3],
[5,1,4,6,2,3]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]])],[rec(
lperms:=[[1,2,3,4,5,6],[3,1,2,4,5,6],[2,3,1,4,5,6],[1,2,3,4,5,6],[1,2,3,6,4,5],
[1,2,3,5,6,4]],
rperms:=[[1,3,2,4,5,6],[1,3,2,4,5,6],[1,3,2,4,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],
[1,2,3,4,6,5]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[1,2,3,4,5,6],[3,1,2,4,5,6],[2,3,1,4,5,6],[1,2,3,4,5,6],[1,2,3,6,4,5],
[1,2,3,5,6,4]],
rperms:=[[1,3,2,4,5,6],[1,3,2,4,5,6],[1,3,2,4,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],
[1,2,3,4,6,5]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[1,2,3,4,5,6],[3,1,2,4,5,6],[2,3,1,4,5,6],[1,3,2,4,6,5],[1,3,2,6,5,4],
[1,3,2,5,4,6]],
rperms:=[[1,3,2,4,5,6],[1,3,2,4,5,6],[1,3,2,4,5,6],[1,3,2,4,5,6],[1,3,2,4,5,6],
[1,3,2,4,5,6]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[1,2,3,4,5,6],[3,1,2,4,5,6],[2,3,1,4,5,6],[1,3,2,4,6,5],[1,3,2,6,5,4],
[1,3,2,5,4,6]],
rperms:=[[1,3,2,4,5,6],[1,3,2,4,5,6],[1,3,2,4,5,6],[1,3,2,4,5,6],[1,3,2,4,5,6],
[1,3,2,4,5,6]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,6,3,5,4,2],[3,6,1,5,2,4],[1,5,3,6,2,4],
[3,5,1,6,4,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,6,3,5,4,2],[3,6,1,5,2,4],[1,5,3,6,2,4],
[3,5,1,6,4,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,6,3,5,4,2],[3,6,1,5,2,4],[1,5,3,6,2,4],
[3,5,1,6,4,2]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,6,3,5,4,2],[3,6,1,5,2,4],[1,5,3,6,2,4],
[3,5,1,6,4,2]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[1,6,3,5,2,4],[3,5,1,6,2,4],[1,5,3,6,4,2],[1,6,3,5,2,4],[1,5,3,6,4,2],
[3,5,1,6,2,4]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[1,6,3,5,2,4],[3,5,1,6,2,4],[1,5,3,6,4,2],[1,6,3,5,2,4],[1,5,3,6,4,2],
[3,5,1,6,2,4]]),rec(
lperms:=[[1,2,3,4,5,6],[3,6,1,5,4,2],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[3,6,1,5,4,2]],
rperms:=[[1,2,3,4,5,6],[3,6,1,5,4,2],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[3,6,1,5,4,2]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[1,6,3,5,2,4],[3,5,1,6,2,4],[1,5,3,6,4,2],[1,6,3,5,2,4],[1,5,3,6,4,2],
[3,5,1,6,2,4]]),rec(
lperms:=[[3,6,1,5,4,2],[1,2,3,4,5,6],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[1,2,3,4,5,6]],
rperms:=[[3,6,1,5,4,2],[1,2,3,4,5,6],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[1,6,3,5,2,4],[3,5,1,6,2,4],[1,5,3,6,4,2],[1,6,3,5,2,4],[1,5,3,6,4,2],
[3,5,1,6,2,4]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,2,6,4,1,3],[2,5,4,6,1,3],
[2,1,4,3,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,4,3,2,6,5],[3,6,1,4,5,2],[1,5,3,6,2,4],
[3,2,1,5,4,6]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,2,6,4,1,3],[2,5,4,6,1,3],
[2,1,4,3,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,4,3,2,6,5],[3,6,1,4,5,2],[1,5,3,6,2,4],
[3,2,1,5,4,6]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,2,6,4,1,3],[2,5,4,6,1,3],
[2,1,4,3,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,4,3,2,6,5],[3,6,1,4,5,2],[1,5,3,6,2,4],
[3,2,1,5,4,6]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,2,6,4,1,3],[2,5,4,6,1,3],
[2,1,4,3,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,4,3,2,6,5],[3,6,1,4,5,2],[1,5,3,6,2,4],
[3,2,1,5,4,6]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,4,3,2,6,5],[6,3,5,1,2,4],[2,5,4,6,1,3],
[4,5,2,6,3,1]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,4,3,2,6,5],[6,3,5,1,2,4],[2,5,4,6,1,3],
[4,5,2,6,3,1]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]]),rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,4,3,2,6,5],[6,3,5,1,2,4],[2,5,4,6,1,3],
[4,5,2,6,3,1]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,4,3,2,6,5],[6,3,5,1,2,4],[2,5,4,6,1,3],
[4,5,2,6,3,1]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]]),rec(
lperms:=[[1,6,3,5,4,2],[1,6,3,5,4,2],[1,6,3,5,4,2],[1,6,3,5,4,2],[1,6,3,5,4,2],
[1,6,3,5,4,2]],
rperms:=[[1,6,3,5,4,2],[1,6,3,5,4,2],[1,6,3,5,4,2],[1,6,3,5,4,2],[1,6,3,5,4,2],
[1,6,3,5,4,2]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,5,4,6,1,3],
[2,1,4,3,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],
[3,4,1,2,6,5]])],[rec(
lperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,5,4,6,1,3],
[2,1,4,3,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]])],[rec(
lperms:=[[1,2,3,4,5,6],[6,3,5,1,2,4],[1,2,3,4,5,6],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,5,2,6,3,1]],
rperms:=[[1,6,3,2,4,5],[1,6,3,2,4,5],[1,4,3,5,6,2],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,4,3,5,6,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[6,3,5,1,2,4],[1,2,3,4,5,6],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,5,2,6,3,1]],
rperms:=[[1,6,3,2,4,5],[1,6,3,2,4,5],[1,4,3,5,6,2],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,4,3,5,6,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[3,6,1,5,4,2],[3,6,1,5,4,2],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[3,6,1,5,4,2],[3,6,1,5,4,2],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[6,3,5,1,2,4],[1,2,3,4,5,6],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,5,2,6,3,1]],
rperms:=[[1,6,3,2,4,5],[1,6,3,2,4,5],[1,4,3,5,6,2],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,4,3,5,6,2]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[1,2,3,4,5,6],[1,2,3,4,5,6],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[1,2,3,4,5,6],[1,2,3,4,5,6],
[3,6,1,5,4,2]])],[rec(
lperms:=[[1,2,3,4,5,6],[6,3,5,1,2,4],[1,2,3,4,5,6],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,5,2,6,3,1]],
rperms:=[[1,6,3,2,4,5],[1,6,3,2,4,5],[1,4,3,5,6,2],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,4,3,5,6,2]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]])],[rec(
lperms:=[[1,2,3,4,5,6],[6,3,5,1,2,4],[1,4,3,2,6,5],[5,1,6,3,2,4],[2,6,4,5,3,1],
[4,6,2,5,1,3]],
rperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],
[1,5,3,6,4,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,2,3,4,5,6],[6,3,5,1,2,4],[1,4,3,2,6,5],[5,1,6,3,2,4],[2,6,4,5,3,1],
[4,6,2,5,1,3]],
rperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],
[1,5,3,6,4,2]]),rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]])],[rec(
lperms:=[[1,2,3,4,5,6],[6,3,5,1,2,4],[1,4,3,2,6,5],[5,1,6,3,2,4],[2,6,4,5,3,1],
[4,6,2,5,1,3]],
rperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],
[1,5,3,6,4,2]]),rec(
lperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],
[1,5,3,6,4,2]],
rperms:=[[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],
[1,6,3,5,2,4]])],[rec(
lperms:=[[1,2,3,4,5,6],[6,3,5,1,2,4],[1,4,3,2,6,5],[5,1,6,3,2,4],[2,6,4,5,3,1],
[4,6,2,5,1,3]],
rperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],
[1,5,3,6,4,2]]),rec(
lperms:=[[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],
[1,6,3,5,2,4]],
rperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],
[1,5,3,6,4,2]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[1,2,3,4,6,5],[1,2,3,4,6,5],[1,2,3,4,6,5],
[1,2,3,4,6,5]],
rperms:=[[1,3,2,4,6,5],[3,2,1,4,6,5],[2,1,3,4,6,5],[1,2,3,4,5,6],[1,2,3,6,4,5],
[1,2,3,5,6,4]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,5,4,3,2,1],[6,5,4,3,2,1],
[6,5,4,3,2,1]],
rperms:=[[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[1,2,3,4,6,5],[1,2,3,4,6,5],[1,2,3,4,6,5],
[1,2,3,4,6,5]],
rperms:=[[1,3,2,4,6,5],[3,2,1,4,6,5],[2,1,3,4,6,5],[1,2,3,4,5,6],[1,2,3,6,4,5],
[1,2,3,5,6,4]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[1,2,3,4,6,5],[1,3,2,4,5,6],[1,3,2,4,5,6],
[1,3,2,4,5,6]],
rperms:=[[1,3,2,4,6,5],[3,2,1,4,6,5],[2,1,3,4,6,5],[1,3,2,4,6,5],[1,3,2,6,5,4],
[1,3,2,5,4,6]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[1,2,3,4,6,5],[1,3,2,4,5,6],[1,3,2,4,5,6],
[1,3,2,4,5,6]],
rperms:=[[1,3,2,4,6,5],[3,2,1,4,6,5],[2,1,3,4,6,5],[1,3,2,4,6,5],[1,3,2,6,5,4],
[1,3,2,5,4,6]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]],
rperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]],
rperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]],
rperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]],
rperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]],
rperms:=[[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],
[2,1,3,4,5,6]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]],
rperms:=[[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],
[2,1,3,4,5,6]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]],
rperms:=[[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],
[2,1,3,4,5,6]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],
[1,2,4,3,5,6]],
rperms:=[[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],
[2,1,3,4,5,6]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[1,2,3,4,6,5],[3,1,2,4,6,5],[2,3,1,4,6,5],[1,2,3,4,6,5],[1,2,3,6,5,4],
[1,2,3,5,4,6]],
rperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[1,2,3,4,6,5],[3,1,2,4,6,5],[2,3,1,4,6,5],[1,2,3,4,6,5],[1,2,3,6,5,4],
[1,2,3,5,4,6]],
rperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[1,2,3,4,6,5],[3,1,2,4,6,5],[2,3,1,4,6,5],[1,3,2,4,5,6],[1,3,2,6,4,5],
[1,3,2,5,6,4]],
rperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[1,2,3,4,6,5],[3,1,2,4,6,5],[2,3,1,4,6,5],[1,3,2,4,5,6],[1,3,2,6,4,5],
[1,3,2,5,6,4]],
rperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[1,2,3,5,6,4],[1,2,3,5,6,4],[1,2,3,5,6,4],[2,3,1,4,5,6],[2,3,1,4,5,6],
[2,3,1,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[1,2,3,5,6,4],[1,2,3,5,6,4],[1,2,3,5,6,4],[2,3,1,4,5,6],[2,3,1,4,5,6],
[2,3,1,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[1,2,3,5,6,4],[1,2,3,5,6,4],[1,2,3,5,6,4],[2,3,1,4,5,6],[2,3,1,4,5,6],
[2,3,1,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[1,2,3,5,6,4],[1,2,3,5,6,4],[1,2,3,5,6,4],[3,1,2,4,5,6],[3,1,2,4,5,6],
[3,1,2,4,5,6]],
rperms:=[[1,2,3,6,4,5],[1,2,3,6,4,5],[1,2,3,6,4,5],[2,3,1,4,5,6],[2,3,1,4,5,6],
[2,3,1,4,5,6]]),rec(
lperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]])],[rec(
lperms:=[[1,2,3,5,6,4],[1,2,3,5,6,4],[1,2,3,5,6,4],[3,1,2,4,5,6],[3,1,2,4,5,6],
[3,1,2,4,5,6]],
rperms:=[[1,2,3,6,4,5],[1,2,3,6,4,5],[1,2,3,6,4,5],[2,3,1,4,5,6],[2,3,1,4,5,6],
[2,3,1,4,5,6]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[1,2,3,5,6,4],[1,2,3,5,6,4],[1,2,3,5,6,4],[3,1,2,4,5,6],[3,1,2,4,5,6],
[3,1,2,4,5,6]],
rperms:=[[1,2,3,6,4,5],[1,2,3,6,4,5],[1,2,3,6,4,5],[2,3,1,4,5,6],[2,3,1,4,5,6],
[2,3,1,4,5,6]]),rec(
lperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]],
rperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]])],[rec(
lperms:=[[1,2,3,6,4,5],[1,2,3,6,4,5],[1,2,3,6,4,5],[2,3,1,4,5,6],[2,3,1,4,5,6],
[2,3,1,4,5,6]],
rperms:=[[1,3,2,5,6,4],[3,2,1,5,6,4],[2,1,3,5,6,4],[3,1,2,4,6,5],[3,1,2,6,5,4],
[3,1,2,5,4,6]]),rec(
lperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]])],[rec(
lperms:=[[1,2,3,6,4,5],[1,2,3,6,4,5],[1,2,3,6,4,5],[2,3,1,4,5,6],[2,3,1,4,5,6],
[2,3,1,4,5,6]],
rperms:=[[1,3,2,5,6,4],[3,2,1,5,6,4],[2,1,3,5,6,4],[3,1,2,4,6,5],[3,1,2,6,5,4],
[3,1,2,5,4,6]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[1,2,3,6,4,5],[1,2,3,6,4,5],[1,2,3,6,4,5],[2,3,1,4,5,6],[2,3,1,4,5,6],
[2,3,1,4,5,6]],
rperms:=[[1,3,2,5,6,4],[3,2,1,5,6,4],[2,1,3,5,6,4],[3,1,2,4,6,5],[3,1,2,6,5,4],
[3,1,2,5,4,6]]),rec(
lperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]],
rperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]])],[rec(
lperms:=[[1,2,3,6,4,5],[1,2,3,6,4,5],[1,2,3,6,4,5],[3,1,2,4,5,6],[3,1,2,4,5,6],
[3,1,2,4,5,6]],
rperms:=[[1,2,3,6,4,5],[1,2,3,6,4,5],[1,2,3,6,4,5],[3,1,2,4,5,6],[3,1,2,4,5,6],
[3,1,2,4,5,6]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[1,2,3,6,4,5],[1,2,3,6,4,5],[1,2,3,6,4,5],[3,1,2,4,5,6],[3,1,2,4,5,6],
[3,1,2,4,5,6]],
rperms:=[[1,2,3,6,4,5],[1,2,3,6,4,5],[1,2,3,6,4,5],[3,1,2,4,5,6],[3,1,2,4,5,6],
[3,1,2,4,5,6]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[1,2,3,6,4,5],[1,2,3,6,4,5],[1,2,3,6,4,5],[3,1,2,4,5,6],[3,1,2,4,5,6],
[3,1,2,4,5,6]],
rperms:=[[1,2,3,6,4,5],[1,2,3,6,4,5],[1,2,3,6,4,5],[3,1,2,4,5,6],[3,1,2,4,5,6],
[3,1,2,4,5,6]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],
[2,1,3,4,5,6]],
rperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],
[2,1,3,4,5,6]],
rperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],
[2,1,3,4,5,6]],
rperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],
[2,1,3,4,5,6]],
rperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],
[2,1,3,4,5,6]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],
[2,1,3,4,5,6]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],
[2,1,3,4,5,6]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],[2,1,3,4,5,6],
[2,1,3,4,5,6]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],
[2,1,4,3,5,6]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[1,3,2,4,5,6],[1,3,2,4,5,6],[1,3,2,4,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],
[1,2,3,4,6,5]],
rperms:=[[1,2,3,4,5,6],[3,1,2,4,5,6],[2,3,1,4,5,6],[1,2,3,4,5,6],[1,2,3,6,4,5],
[1,2,3,5,6,4]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[1,3,2,4,5,6],[1,3,2,4,5,6],[1,3,2,4,5,6],[1,2,3,4,6,5],[1,2,3,4,6,5],
[1,2,3,4,6,5]],
rperms:=[[1,2,3,4,5,6],[3,1,2,4,5,6],[2,3,1,4,5,6],[1,2,3,4,5,6],[1,2,3,6,4,5],
[1,2,3,5,6,4]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[1,3,2,4,5,6],[3,2,1,4,5,6],[2,1,3,4,5,6],[1,2,3,4,6,5],[1,2,3,6,5,4],
[1,2,3,5,4,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[1,3,2,4,5,6],[3,2,1,4,5,6],[2,1,3,4,5,6],[1,2,3,4,6,5],[1,2,3,6,5,4],
[1,2,3,5,4,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[1,3,2,4,5,6],[3,2,1,4,5,6],[2,1,3,4,5,6],[1,2,3,4,6,5],[1,2,3,6,5,4],
[1,2,3,5,4,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,2,3,4,6,5],[3,1,2,4,6,5],[2,3,1,4,6,5],[1,3,2,4,5,6],[1,3,2,6,4,5],
[1,3,2,5,6,4]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,2,3,4,6,5],[3,1,2,4,6,5],[2,3,1,4,6,5],[1,3,2,4,5,6],[1,3,2,6,4,5],
[1,3,2,5,6,4]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[1,3,2,4,6,5],[3,2,1,4,6,5],[2,1,3,4,6,5],[1,3,2,4,6,5],[1,3,2,6,5,4],
[1,3,2,5,4,6]],
rperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[1,2,3,4,6,5],[1,3,2,4,5,6],[1,3,2,4,5,6],
[1,3,2,4,5,6]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[1,3,2,4,6,5],[3,2,1,4,6,5],[2,1,3,4,6,5],[1,3,2,4,6,5],[1,3,2,6,5,4],
[1,3,2,5,4,6]],
rperms:=[[1,2,3,4,6,5],[1,2,3,4,6,5],[1,2,3,4,6,5],[1,3,2,4,5,6],[1,3,2,4,5,6],
[1,3,2,4,5,6]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[1,3,2,6,4,5],[3,2,1,6,4,5],[2,1,3,6,4,5],[2,3,1,4,6,5],[2,3,1,6,5,4],
[2,3,1,5,4,6]],
rperms:=[[1,2,3,5,6,4],[1,2,3,5,6,4],[1,2,3,5,6,4],[3,1,2,4,5,6],[3,1,2,4,5,6],
[3,1,2,4,5,6]]),rec(
lperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]])],[rec(
lperms:=[[1,3,2,6,4,5],[3,2,1,6,4,5],[2,1,3,6,4,5],[2,3,1,4,6,5],[2,3,1,6,5,4],
[2,3,1,5,4,6]],
rperms:=[[1,2,3,5,6,4],[1,2,3,5,6,4],[1,2,3,5,6,4],[3,1,2,4,5,6],[3,1,2,4,5,6],
[3,1,2,4,5,6]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[1,3,2,6,4,5],[3,2,1,6,4,5],[2,1,3,6,4,5],[2,3,1,4,6,5],[2,3,1,6,5,4],
[2,3,1,5,4,6]],
rperms:=[[1,2,3,5,6,4],[1,2,3,5,6,4],[1,2,3,5,6,4],[3,1,2,4,5,6],[3,1,2,4,5,6],
[3,1,2,4,5,6]]),rec(
lperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]],
rperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]])],[rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,6,3,5,2,4],[6,4,5,2,3,1],[1,5,3,6,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,6,3,5,2,4],[6,4,5,2,3,1],[1,5,3,6,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]])],[rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,6,3,5,2,4],[6,4,5,2,3,1],[1,5,3,6,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],
[1,5,3,6,4,2]],
rperms:=[[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],
[1,6,3,5,2,4]])],[rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,6,3,5,2,4],[6,4,5,2,3,1],[1,5,3,6,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],
[3,2,1,4,6,5]],
rperms:=[[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],
[3,2,1,4,6,5]])],[rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,6,3,5,2,4],[6,4,5,2,3,1],[1,5,3,6,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]])],[rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,6,3,5,4,2],[5,4,6,2,3,1],[1,5,3,6,2,4],[6,4,5,2,1,3],[2,3,4,1,6,5],
[4,1,2,3,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,6,3,5,4,2],[5,4,6,2,3,1],[1,5,3,6,2,4],[6,4,5,2,1,3],[2,3,4,1,6,5],
[4,1,2,3,6,5]]),rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]])],[rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,6,3,5,4,2],[5,4,6,2,3,1],[1,5,3,6,2,4],[6,4,5,2,1,3],[2,3,4,1,6,5],
[4,1,2,3,6,5]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,6,3,5,4,2],[5,4,6,2,3,1],[1,5,3,6,2,4],[6,4,5,2,1,3],[2,3,4,1,6,5],
[4,1,2,3,6,5]]),rec(
lperms:=[[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],
[3,2,1,4,6,5]],
rperms:=[[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],
[3,2,1,4,6,5]])],[rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,6,3,5,4,2],[5,4,6,2,3,1],[1,5,3,6,2,4],[6,4,5,2,1,3],[2,3,4,1,6,5],
[4,1,2,3,6,5]]),rec(
lperms:=[[3,5,1,6,4,2],[3,5,1,6,4,2],[3,5,1,6,4,2],[3,5,1,6,4,2],[3,5,1,6,4,2],
[3,5,1,6,4,2]],
rperms:=[[3,6,1,5,2,4],[3,6,1,5,2,4],[3,6,1,5,2,4],[3,6,1,5,2,4],[3,6,1,5,2,4],
[3,6,1,5,2,4]])],[rec(
lperms:=[[1,4,3,2,6,5],[3,2,1,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],
[4,3,2,1,5,6]],
rperms:=[[1,6,5,4,3,2],[6,2,3,5,4,1],[2,6,5,3,4,1],[6,1,4,5,3,2],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,4,3,2,6,5],[3,2,1,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],
[4,3,2,1,5,6]],
rperms:=[[1,6,5,4,3,2],[6,2,3,5,4,1],[2,6,5,3,4,1],[6,1,4,5,3,2],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],
[2,1,4,3,5,6]])],[rec(
lperms:=[[1,4,3,2,6,5],[3,2,1,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],
[4,3,2,1,5,6]],
rperms:=[[1,6,5,4,3,2],[6,2,3,5,4,1],[2,6,5,3,4,1],[6,1,4,5,3,2],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,4,3,2,6,5],[3,2,1,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],
[4,3,2,1,5,6]],
rperms:=[[1,6,5,4,3,2],[6,2,3,5,4,1],[2,6,5,3,4,1],[6,1,4,5,3,2],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],[2,1,4,3,5,6],
[2,1,4,3,5,6]])],[rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]])],[rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]])],[rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,4,3,2,6,5],[6,3,5,1,2,4],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,4,3,2,6,5],[6,3,5,1,2,4],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]])],[rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,4,3,2,6,5],[6,3,5,1,2,4],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,4,3,2,6,5],[6,3,5,1,2,4],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[1,6,3,5,4,2],[1,6,3,5,4,2],[1,6,3,5,4,2],[1,6,3,5,4,2],[1,6,3,5,4,2],
[1,6,3,5,4,2]],
rperms:=[[1,6,3,5,4,2],[1,6,3,5,4,2],[1,6,3,5,4,2],[1,6,3,5,4,2],[1,6,3,5,4,2],
[1,6,3,5,4,2]])],[rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,6,3,5,4,2],[3,6,1,5,2,4],[1,5,3,6,2,4],
[3,5,1,6,4,2]],
rperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,6,3,5,4,2],[3,6,1,5,2,4],[1,5,3,6,2,4],
[3,5,1,6,4,2]],
rperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,6,3,5,4,2],[3,6,1,5,2,4],[1,5,3,6,2,4],
[3,5,1,6,4,2]],
rperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,6,3,5,4,2],[3,6,1,5,2,4],[1,5,3,6,2,4],
[3,5,1,6,4,2]],
rperms:=[[1,2,3,4,5,6],[5,1,6,3,2,4],[1,2,3,4,5,6],[5,1,6,3,2,4],[2,5,4,6,1,3],
[2,5,4,6,1,3]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,1,6,3,2,4],[2,1,4,3,5,6],
[2,5,4,6,1,3]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,6,3,5,4,2],[3,5,1,2,6,4],[1,2,3,4,5,6],
[3,4,1,6,2,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,1,6,3,2,4],[2,1,4,3,5,6],
[2,5,4,6,1,3]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,6,3,5,4,2],[3,5,1,2,6,4],[1,2,3,4,5,6],
[3,4,1,6,2,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,1,6,3,2,4],[2,1,4,3,5,6],
[2,5,4,6,1,3]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,6,3,5,4,2],[3,5,1,2,6,4],[1,2,3,4,5,6],
[3,4,1,6,2,5]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,1,6,3,2,4],[2,1,4,3,5,6],
[2,5,4,6,1,3]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,6,3,5,4,2],[3,5,1,2,6,4],[1,2,3,4,5,6],
[3,4,1,6,2,5]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,2,1,4,6,5],[1,2,3,4,5,6],
[3,4,1,2,5,6]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,2,1,4,6,5],[1,2,3,4,5,6],
[3,4,1,2,5,6]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,2,1,4,6,5],[1,2,3,4,5,6],
[3,4,1,2,5,6]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,2,1,4,6,5],[1,2,3,4,5,6],
[3,4,1,2,5,6]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],
[2,1,4,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,4,3,2,6,5],[3,2,1,4,6,5],[1,2,3,4,5,6],
[3,4,1,2,5,6]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,6,3,5,4,2],[6,2,5,4,3,1],[2,1,4,3,5,6],
[4,3,2,1,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,6,3,5,4,2],[6,2,5,4,3,1],[2,1,4,3,5,6],
[4,3,2,1,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,6,3,5,4,2],[6,2,5,4,3,1],[2,1,4,3,5,6],
[4,3,2,1,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,6,3,5,4,2],[6,2,5,4,3,1],[2,1,4,3,5,6],
[4,3,2,1,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[2,3,4,1,6,5],[2,3,4,1,6,5],[2,3,4,1,6,5],[2,3,4,1,6,5],[2,3,4,1,6,5],
[2,3,4,1,6,5]],
rperms:=[[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],
[4,1,2,3,6,5]])],[rec(
lperms:=[[1,5,3,6,2,4],[5,2,6,4,1,3],[1,6,3,5,4,2],[6,2,5,4,3,1],[2,1,4,3,5,6],
[4,3,2,1,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[1,5,3,6,4,2],[1,4,3,2,6,5],[1,6,3,5,2,4],[1,5,3,6,4,2],[1,4,3,2,6,5],
[1,6,3,5,2,4]],
rperms:=[[1,2,3,4,5,6],[4,6,5,1,3,2],[1,2,3,4,5,6],[6,4,2,3,1,5],[2,1,6,5,4,3],
[5,3,4,2,6,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,4,2],[1,4,3,2,6,5],[1,6,3,5,2,4],[1,5,3,6,4,2],[1,4,3,2,6,5],
[1,6,3,5,2,4]],
rperms:=[[1,2,3,4,5,6],[4,6,5,1,3,2],[1,2,3,4,5,6],[6,4,2,3,1,5],[2,1,6,5,4,3],
[5,3,4,2,6,1]]),rec(
lperms:=[[1,2,3,4,5,6],[3,5,1,6,2,4],[1,2,3,4,5,6],[1,2,3,4,5,6],[3,5,1,6,2,4],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[3,5,1,6,2,4],[1,2,3,4,5,6],[1,2,3,4,5,6],[3,5,1,6,2,4],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,4,2],[1,4,3,2,6,5],[1,6,3,5,2,4],[1,5,3,6,4,2],[1,4,3,2,6,5],
[1,6,3,5,2,4]],
rperms:=[[1,2,3,4,5,6],[4,6,5,1,3,2],[1,2,3,4,5,6],[6,4,2,3,1,5],[2,1,6,5,4,3],
[5,3,4,2,6,1]]),rec(
lperms:=[[3,5,1,6,2,4],[1,2,3,4,5,6],[3,5,1,6,2,4],[3,5,1,6,2,4],[1,2,3,4,5,6],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[1,2,3,4,5,6],[3,5,1,6,2,4],[3,5,1,6,2,4],[1,2,3,4,5,6],
[3,5,1,6,2,4]])],[rec(
lperms:=[[1,5,3,6,4,2],[1,4,3,2,6,5],[1,6,3,5,2,4],[1,5,3,6,4,2],[1,4,3,2,6,5],
[1,6,3,5,2,4]],
rperms:=[[1,2,3,4,5,6],[4,6,5,1,3,2],[1,2,3,4,5,6],[6,4,2,3,1,5],[2,1,6,5,4,3],
[5,3,4,2,6,1]]),rec(
lperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]])],[rec(
lperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,6,3,5,2,4],[3,6,1,5,4,2],[1,6,3,5,2,4],
[3,6,1,5,4,2]],
rperms:=[[1,2,3,4,5,6],[5,3,6,1,4,2],[1,2,3,4,5,6],[5,3,6,1,4,2],[4,6,2,5,1,3],
[4,6,2,5,1,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,6,3,5,2,4],[3,6,1,5,4,2],[1,6,3,5,2,4],
[3,6,1,5,4,2]],
rperms:=[[1,2,3,4,5,6],[5,3,6,1,4,2],[1,2,3,4,5,6],[5,3,6,1,4,2],[4,6,2,5,1,3],
[4,6,2,5,1,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[3,5,1,6,2,4],[1,2,3,4,5,6],
[3,5,1,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[3,5,1,6,2,4],[1,2,3,4,5,6],
[3,5,1,6,2,4]])],[rec(
lperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,6,3,5,2,4],[3,6,1,5,4,2],[1,6,3,5,2,4],
[3,6,1,5,4,2]],
rperms:=[[1,2,3,4,5,6],[5,3,6,1,4,2],[1,2,3,4,5,6],[5,3,6,1,4,2],[4,6,2,5,1,3],
[4,6,2,5,1,3]]),rec(
lperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[1,2,3,4,5,6],[3,5,1,6,2,4],
[1,2,3,4,5,6]],
rperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[1,2,3,4,5,6],[3,5,1,6,2,4],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,6,3,5,2,4],[3,6,1,5,4,2],[1,6,3,5,2,4],
[3,6,1,5,4,2]],
rperms:=[[1,2,3,4,5,6],[5,3,6,1,4,2],[1,2,3,4,5,6],[5,3,6,1,4,2],[4,6,2,5,1,3],
[4,6,2,5,1,3]]),rec(
lperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]])],[rec(
lperms:=[[1,5,3,6,4,2],[6,2,5,4,1,3],[1,6,3,5,2,4],[5,2,6,4,3,1],[2,3,4,1,5,6],
[4,1,2,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,5,3,6,4,2],[6,2,5,4,1,3],[1,6,3,5,2,4],[5,2,6,4,3,1],[2,3,4,1,5,6],
[4,1,2,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]])],[rec(
lperms:=[[1,5,3,6,4,2],[6,2,5,4,1,3],[1,6,3,5,2,4],[5,2,6,4,3,1],[2,3,4,1,5,6],
[4,1,2,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],
[1,5,3,6,4,2]],
rperms:=[[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],
[1,6,3,5,2,4]])],[rec(
lperms:=[[1,5,3,6,4,2],[6,2,5,4,1,3],[1,6,3,5,2,4],[5,2,6,4,3,1],[2,3,4,1,5,6],
[4,1,2,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[1,5,3,6,4,2],[6,2,5,4,1,3],[1,6,3,5,2,4],[5,2,6,4,3,1],[2,3,4,1,5,6],
[4,1,2,3,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],
[1,6,3,5,2,4]],
rperms:=[[1,4,3,2,6,5],[6,1,5,3,4,2],[1,2,3,4,5,6],[5,3,6,1,4,2],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],
[1,6,3,5,2,4]],
rperms:=[[1,4,3,2,6,5],[6,1,5,3,4,2],[1,2,3,4,5,6],[5,3,6,1,4,2],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]])],[rec(
lperms:=[[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],
[1,6,3,5,2,4]],
rperms:=[[1,4,3,2,6,5],[6,1,5,3,4,2],[1,2,3,4,5,6],[5,3,6,1,4,2],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],
[1,5,3,6,4,2]],
rperms:=[[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],
[1,6,3,5,2,4]])],[rec(
lperms:=[[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],
[1,6,3,5,2,4]],
rperms:=[[1,4,3,2,6,5],[6,1,5,3,4,2],[1,2,3,4,5,6],[5,3,6,1,4,2],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],
[1,6,3,5,2,4]],
rperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],
[1,5,3,6,4,2]])],[rec(
lperms:=[[1,6,3,5,2,4],[6,4,5,2,3,1],[1,5,3,6,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,3,2,1,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,6,3,5,2,4],[6,4,5,2,3,1],[1,5,3,6,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,3,2,1,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]])],[rec(
lperms:=[[1,6,3,5,2,4],[6,4,5,2,3,1],[1,5,3,6,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,3,2,1,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],[1,5,3,6,4,2],
[1,5,3,6,4,2]],
rperms:=[[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],[1,6,3,5,2,4],
[1,6,3,5,2,4]])],[rec(
lperms:=[[1,6,3,5,2,4],[6,4,5,2,3,1],[1,5,3,6,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,3,2,1,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],
[3,2,1,4,6,5]],
rperms:=[[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],
[3,2,1,4,6,5]])],[rec(
lperms:=[[1,6,3,5,2,4],[6,4,5,2,3,1],[1,5,3,6,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[4,3,2,1,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]])],[rec(
lperms:=[[1,6,3,5,4,2],[5,4,6,2,3,1],[1,5,3,6,2,4],[6,4,5,2,1,3],[2,3,4,1,6,5],
[4,1,2,3,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[1,6,3,5,4,2],[5,4,6,2,3,1],[1,5,3,6,2,4],[6,4,5,2,1,3],[2,3,4,1,6,5],
[4,1,2,3,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]])],[rec(
lperms:=[[1,6,3,5,4,2],[5,4,6,2,3,1],[1,5,3,6,2,4],[6,4,5,2,1,3],[2,3,4,1,6,5],
[4,1,2,3,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[1,6,3,5,4,2],[5,4,6,2,3,1],[1,5,3,6,2,4],[6,4,5,2,1,3],[2,3,4,1,6,5],
[4,1,2,3,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],
[3,2,1,4,6,5]],
rperms:=[[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],
[3,2,1,4,6,5]])],[rec(
lperms:=[[1,6,3,5,4,2],[5,4,6,2,3,1],[1,5,3,6,2,4],[6,4,5,2,1,3],[2,3,4,1,6,5],
[4,1,2,3,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[3,5,1,6,4,2],[3,5,1,6,4,2],[3,5,1,6,4,2],[3,5,1,6,4,2],[3,5,1,6,4,2],
[3,5,1,6,4,2]],
rperms:=[[3,6,1,5,2,4],[3,6,1,5,2,4],[3,6,1,5,2,4],[3,6,1,5,2,4],[3,6,1,5,2,4],
[3,6,1,5,2,4]])],[rec(
lperms:=[[2,1,3,4,5,6],[1,3,2,4,5,6],[3,2,1,4,5,6],[1,2,3,5,4,6],[1,2,3,4,6,5],
[1,2,3,6,5,4]],
rperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,5,6,4],[1,2,3,5,6,4],
[1,2,3,5,6,4]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[2,1,3,4,5,6],[1,3,2,4,5,6],[3,2,1,4,5,6],[1,2,3,5,4,6],[1,2,3,4,6,5],
[1,2,3,6,5,4]],
rperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,5,6,4],[1,2,3,5,6,4],
[1,2,3,5,6,4]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[2,1,3,4,5,6],[1,3,2,4,5,6],[3,2,1,4,5,6],[1,2,3,5,4,6],[1,2,3,4,6,5],
[1,2,3,6,5,4]],
rperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,5,6,4],[1,2,3,5,6,4],
[1,2,3,5,6,4]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]],
rperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]],
rperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]],
rperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]],
rperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]],
rperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]],
rperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]],
rperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]],
rperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]],
rperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]],
rperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]],
rperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]],
rperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]],
rperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]],
rperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]],
rperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],
[2,1,3,4,6,5]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]],
rperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],
[2,1,3,4,6,5]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]],
rperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],
[2,1,3,4,6,5]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[2,1,3,4,6,5],[2,1,3,4,6,5],[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],
[1,2,4,3,6,5]],
rperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],
[2,1,3,4,6,5]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[2,1,3,6,4,5],[1,3,2,6,4,5],[3,2,1,6,4,5],[2,3,1,6,5,4],[2,3,1,5,4,6],
[2,3,1,4,6,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]]),rec(
lperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]])],[rec(
lperms:=[[2,1,3,6,4,5],[1,3,2,6,4,5],[3,2,1,6,4,5],[2,3,1,6,5,4],[2,3,1,5,4,6],
[2,3,1,4,6,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[2,1,3,6,4,5],[1,3,2,6,4,5],[3,2,1,6,4,5],[2,3,1,6,5,4],[2,3,1,5,4,6],
[2,3,1,4,6,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]]),rec(
lperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]],
rperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]])],[rec(
lperms:=[[2,1,3,6,4,5],[1,3,2,6,4,5],[3,2,1,6,4,5],[3,1,2,5,4,6],[3,1,2,4,6,5],
[3,1,2,6,5,4]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[2,1,3,6,4,5],[1,3,2,6,4,5],[3,2,1,6,4,5],[3,1,2,5,4,6],[3,1,2,4,6,5],
[3,1,2,6,5,4]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[2,1,3,6,4,5],[1,3,2,6,4,5],[3,2,1,6,4,5],[3,1,2,5,4,6],[3,1,2,4,6,5],
[3,1,2,6,5,4]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[2,1,4,3,5,6],[1,5,3,6,2,4],[2,1,4,3,5,6],[1,5,3,6,2,4],[5,2,6,4,1,3],
[5,2,6,4,1,3]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]]),rec(
lperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]])],[rec(
lperms:=[[2,1,4,3,5,6],[1,5,3,6,2,4],[2,1,4,3,5,6],[1,5,3,6,2,4],[5,2,6,4,1,3],
[5,2,6,4,1,3]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]])],[rec(
lperms:=[[2,1,4,3,5,6],[1,5,3,6,2,4],[2,1,4,3,5,6],[1,5,3,6,2,4],[5,2,6,4,1,3],
[5,2,6,4,1,3]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]]),rec(
lperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]],
rperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]])],[rec(
lperms:=[[2,1,4,3,5,6],[1,5,3,6,2,4],[2,1,4,3,5,6],[1,5,3,6,2,4],[5,2,6,4,1,3],
[5,2,6,4,1,3]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[4,6,2,5,1,3],[2,6,4,5,3,1],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[2,1,4,3,5,6],[1,5,3,6,2,4],[2,1,4,3,5,6],[1,5,3,6,2,4],[5,2,6,4,1,3],
[5,2,6,4,1,3]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[4,6,2,5,1,3],[2,6,4,5,3,1],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[2,1,4,3,5,6],[1,5,3,6,2,4],[2,1,4,3,5,6],[1,5,3,6,2,4],[5,2,6,4,1,3],
[5,2,6,4,1,3]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[4,6,2,5,1,3],[2,6,4,5,3,1],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]])],[rec(
lperms:=[[2,1,4,3,5,6],[1,5,3,6,2,4],[4,1,2,3,6,5],[3,6,1,5,2,4],[5,2,6,4,1,3],
[5,4,6,2,3,1]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[2,1,4,3,5,6],[1,5,3,6,2,4],[4,1,2,3,6,5],[3,6,1,5,2,4],[5,2,6,4,1,3],
[5,4,6,2,3,1]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[2,1,4,3,5,6],[1,5,3,6,2,4],[4,1,2,3,6,5],[3,6,1,5,2,4],[5,2,6,4,1,3],
[5,4,6,2,3,1]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]]),rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]])],[rec(
lperms:=[[2,1,4,3,5,6],[1,5,3,6,2,4],[5,2,6,4,1,3],[2,1,4,3,5,6],[5,2,6,4,1,3],
[1,5,3,6,2,4]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[5,1,6,3,2,4],[5,1,6,3,2,4],[2,5,4,6,1,3],
[5,1,6,3,2,4]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]])],[rec(
lperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],
[2,1,3,4,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],
[2,1,3,4,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],
[2,1,3,4,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],
[2,1,3,4,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[2,1,4,3,6,5],[1,4,3,2,6,5],[3,2,1,4,6,5],[2,1,4,3,6,5],[1,4,3,2,6,5],
[3,2,1,4,6,5]],
rperms:=[[5,6,1,2,3,4],[2,1,6,5,4,3],[6,5,4,3,2,1],[3,4,5,6,1,2],[4,3,2,1,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[2,1,4,3,6,5],[1,4,3,2,6,5],[3,2,1,4,6,5],[2,1,4,3,6,5],[1,4,3,2,6,5],
[3,2,1,4,6,5]],
rperms:=[[5,6,1,2,3,4],[2,1,6,5,4,3],[6,5,4,3,2,1],[3,4,5,6,1,2],[4,3,2,1,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[4,3,2,1,6,5],[4,3,2,1,6,5],[1,2,3,4,5,6],[4,3,2,1,6,5],
[4,3,2,1,6,5]],
rperms:=[[1,2,3,4,5,6],[4,3,2,1,6,5],[4,3,2,1,6,5],[1,2,3,4,5,6],[4,3,2,1,6,5],
[4,3,2,1,6,5]])],[rec(
lperms:=[[2,1,4,3,6,5],[1,4,3,2,6,5],[3,2,1,4,6,5],[2,1,4,3,6,5],[1,4,3,2,6,5],
[3,2,1,4,6,5]],
rperms:=[[5,6,1,2,3,4],[2,1,6,5,4,3],[6,5,4,3,2,1],[3,4,5,6,1,2],[4,3,2,1,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[4,3,2,1,6,5],[1,2,3,4,5,6],[1,2,3,4,5,6],[4,3,2,1,6,5],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[4,3,2,1,6,5],[1,2,3,4,5,6],[1,2,3,4,5,6],[4,3,2,1,6,5],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[2,1,4,3,6,5],[1,4,3,2,6,5],[3,2,1,4,6,5],[2,1,4,3,6,5],[1,4,3,2,6,5],
[3,2,1,4,6,5]],
rperms:=[[5,6,1,2,3,4],[2,1,6,5,4,3],[6,5,4,3,2,1],[3,4,5,6,1,2],[4,3,2,1,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],
[4,3,2,1,6,5]],
rperms:=[[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],
[4,3,2,1,6,5]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,3,4,5,6],[2,1,3,4,5,6],[1,2,4,3,5,6],[1,2,4,3,5,6],[1,2,3,4,6,5],
[1,2,3,4,6,5]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],
[2,1,3,4,6,5]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],
[2,1,3,4,6,5]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],
[2,1,3,4,6,5]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,5,6],[2,1,4,3,5,6],[1,2,4,3,6,5],[1,2,4,3,6,5],[2,1,3,4,6,5],
[2,1,3,4,6,5]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]],
rperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[3,1,4,5,6,2],[2,4,6,3,1,5],[2,4,6,3,1,5],[3,1,4,5,6,2],[2,4,6,3,1,5],
[3,1,4,5,6,2]],
rperms:=[[5,1,4,2,6,3],[2,6,1,3,4,5],[2,6,1,3,4,5],[5,1,4,2,6,3],[2,6,1,3,4,5],
[5,1,4,2,6,3]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[3,5,1,6,2,4],[6,4,5,2,3,1],[6,4,5,2,3,1],[3,5,1,6,2,4],[3,5,1,6,2,4],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[3,5,1,6,2,4],[3,5,1,6,2,4],[6,4,5,2,3,1],[6,4,5,2,3,1],
[3,5,1,6,2,4]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[5,1,6,3,2,4],[2,6,4,5,3,1],[6,1,5,3,4,2],[2,5,4,6,1,3],[3,2,1,4,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[5,1,6,3,2,4],[2,6,4,5,3,1],[6,1,5,3,4,2],[2,5,4,6,1,3],[3,2,1,4,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[5,1,6,3,2,4],[2,6,4,5,3,1],[6,1,5,3,4,2],[2,5,4,6,1,3],[3,2,1,4,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[3,4,1,2,5,6],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,4,1,2,5,6],
[3,4,1,2,5,6]],
rperms:=[[3,4,1,2,5,6],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,4,1,2,5,6],
[3,4,1,2,5,6]])],[rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[5,1,6,3,2,4],[2,6,4,5,3,1],[6,1,5,3,4,2],[2,5,4,6,1,3],[3,2,1,4,6,5],
[1,4,3,2,6,5]]),rec(
lperms:=[[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],
[4,3,2,1,6,5]],
rperms:=[[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],
[4,3,2,1,6,5]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[2,1,4,3,6,5],[3,5,1,6,2,4],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,2,6,3,1],[2,5,4,6,1,3],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[2,1,4,3,6,5],[3,5,1,6,2,4],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,2,6,3,1],[2,5,4,6,1,3],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],
[4,6,2,5,1,3]],
rperms:=[[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],
[5,3,6,1,4,2]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[2,1,4,3,6,5],[3,5,1,6,2,4],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,2,6,3,1],[2,5,4,6,1,3],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,5,4,6,1,3],
[4,5,2,6,3,1]]),rec(
lperms:=[[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],
[5,3,6,1,4,2]],
rperms:=[[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],
[4,6,2,5,1,3]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]]),rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]]),rec(
lperms:=[[2,4,5,3,6,1],[6,5,1,2,3,4],[6,5,1,2,3,4],[2,4,5,3,6,1],[2,4,5,3,6,1],
[6,5,1,2,3,4]],
rperms:=[[3,4,5,6,2,1],[6,1,4,2,3,5],[6,1,4,2,3,5],[3,4,5,6,2,1],[3,4,5,6,2,1],
[6,1,4,2,3,5]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]]),rec(
lperms:=[[2,5,1,3,6,4],[2,5,1,3,6,4],[2,5,1,3,6,4],[2,5,1,3,6,4],[2,5,1,3,6,4],
[2,5,1,3,6,4]],
rperms:=[[3,1,4,6,2,5],[3,1,4,6,2,5],[3,1,4,6,2,5],[3,1,4,6,2,5],[3,1,4,6,2,5],
[3,1,4,6,2,5]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]]),rec(
lperms:=[[3,1,4,6,2,5],[3,1,4,6,2,5],[3,1,4,6,2,5],[3,1,4,6,2,5],[3,1,4,6,2,5],
[3,1,4,6,2,5]],
rperms:=[[2,5,1,3,6,4],[2,5,1,3,6,4],[2,5,1,3,6,4],[2,5,1,3,6,4],[2,5,1,3,6,4],
[2,5,1,3,6,4]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]]),rec(
lperms:=[[3,4,5,6,2,1],[6,1,4,2,3,5],[6,1,4,2,3,5],[3,4,5,6,2,1],[3,4,5,6,2,1],
[6,1,4,2,3,5]],
rperms:=[[2,4,5,3,6,1],[6,5,1,2,3,4],[6,5,1,2,3,4],[2,4,5,3,6,1],[2,4,5,3,6,1],
[6,5,1,2,3,4]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]]),rec(
lperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]]),rec(
lperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]]),rec(
lperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]]),rec(
lperms:=[[6,1,4,2,3,5],[3,4,5,6,2,1],[3,4,5,6,2,1],[6,1,4,2,3,5],[6,1,4,2,3,5],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[2,4,5,3,6,1],[2,4,5,3,6,1],[6,5,1,2,3,4],[6,5,1,2,3,4],
[2,4,5,3,6,1]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[2,1,4,3,6,5],[2,1,4,3,6,5],[3,5,1,6,2,4],[3,5,1,6,2,4],
[2,1,4,3,6,5]]),rec(
lperms:=[[6,5,1,2,3,4],[2,4,5,3,6,1],[2,4,5,3,6,1],[6,5,1,2,3,4],[6,5,1,2,3,4],
[2,4,5,3,6,1]],
rperms:=[[6,1,4,2,3,5],[3,4,5,6,2,1],[3,4,5,6,2,1],[6,1,4,2,3,5],[6,1,4,2,3,5],
[3,4,5,6,2,1]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,6,1,5,4,2],[4,1,2,3,5,6],[1,5,3,6,4,2],[6,2,5,4,1,3],
[6,4,5,2,3,1]],
rperms:=[[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],
[2,6,4,5,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,6,1,5,4,2],[4,1,2,3,5,6],[1,5,3,6,4,2],[6,2,5,4,1,3],
[6,4,5,2,3,1]],
rperms:=[[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],
[2,6,4,5,3,1]]),rec(
lperms:=[[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],
[2,6,4,5,3,1]],
rperms:=[[6,1,5,3,4,2],[6,1,5,3,4,2],[6,1,5,3,4,2],[6,1,5,3,4,2],[6,1,5,3,4,2],
[6,1,5,3,4,2]])],[rec(
lperms:=[[2,1,4,3,6,5],[3,6,1,5,4,2],[4,1,2,3,5,6],[1,5,3,6,4,2],[6,2,5,4,1,3],
[6,4,5,2,3,1]],
rperms:=[[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],
[2,6,4,5,3,1]]),rec(
lperms:=[[6,1,5,3,4,2],[6,1,5,3,4,2],[6,1,5,3,4,2],[6,1,5,3,4,2],[6,1,5,3,4,2],
[6,1,5,3,4,2]],
rperms:=[[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],[2,6,4,5,3,1],
[2,6,4,5,3,1]])],[rec(
lperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,5,6,4],[1,2,3,5,6,4],
[1,2,3,5,6,4]],
rperms:=[[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[2,3,1,6,4,5],[2,3,1,6,4,5],
[2,3,1,6,4,5]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,5,6,4],[1,2,3,5,6,4],
[1,2,3,5,6,4]],
rperms:=[[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[2,3,1,6,4,5],[2,3,1,6,4,5],
[2,3,1,6,4,5]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,5,6,4],[1,2,3,5,6,4],
[1,2,3,5,6,4]],
rperms:=[[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[2,3,1,6,4,5],[2,3,1,6,4,5],
[2,3,1,6,4,5]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,6,4,5],[1,2,3,6,4,5],
[1,2,3,6,4,5]],
rperms:=[[2,1,3,4,5,6],[1,3,2,4,5,6],[3,2,1,4,5,6],[1,2,3,6,5,4],[1,2,3,5,4,6],
[1,2,3,4,6,5]]),rec(
lperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]])],[rec(
lperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,6,4,5],[1,2,3,6,4,5],
[1,2,3,6,4,5]],
rperms:=[[2,1,3,4,5,6],[1,3,2,4,5,6],[3,2,1,4,5,6],[1,2,3,6,5,4],[1,2,3,5,4,6],
[1,2,3,4,6,5]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,6,4,5],[1,2,3,6,4,5],
[1,2,3,6,4,5]],
rperms:=[[2,1,3,4,5,6],[1,3,2,4,5,6],[3,2,1,4,5,6],[1,2,3,6,5,4],[1,2,3,5,4,6],
[1,2,3,4,6,5]]),rec(
lperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]],
rperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]])],[rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,4,5,6],[3,1,2,4,5,6],[3,1,2,4,5,6],[1,2,3,6,4,5],[1,2,3,6,4,5],
[1,2,3,6,4,5]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,4,5,6],[3,1,2,4,5,6],[3,1,2,4,5,6],[1,2,3,6,4,5],[1,2,3,6,4,5],
[1,2,3,6,4,5]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,4,5,6],[3,1,2,4,5,6],[3,1,2,4,5,6],[1,2,3,6,4,5],[1,2,3,6,4,5],
[1,2,3,6,4,5]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,1,3,6,4,5],[1,3,2,6,4,5],[3,2,1,6,4,5],[2,3,1,6,5,4],[2,3,1,5,4,6],
[2,3,1,4,6,5]]),rec(
lperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]])],[rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,1,3,6,4,5],[1,3,2,6,4,5],[3,2,1,6,4,5],[2,3,1,6,5,4],[2,3,1,5,4,6],
[2,3,1,4,6,5]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,1,3,6,4,5],[1,3,2,6,4,5],[3,2,1,6,4,5],[2,3,1,6,5,4],[2,3,1,5,4,6],
[2,3,1,4,6,5]]),rec(
lperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]],
rperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]])],[rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]]),rec(
lperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]])],[rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]]),rec(
lperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]],
rperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]])],[rec(
lperms:=[[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[3,1,2,5,6,4],[3,1,2,5,6,4],
[3,1,2,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[3,1,2,5,6,4],[3,1,2,5,6,4],
[3,1,2,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[3,1,2,5,6,4],[3,1,2,5,6,4],
[3,1,2,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]]),rec(
lperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]],
rperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]])],[rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]]),rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]])],[rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]]),rec(
lperms:=[[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],
[2,3,4,5,6,1]],
rperms:=[[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],
[2,5,4,1,6,3]])],[rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]]),rec(
lperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]])],[rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]]),rec(
lperms:=[[4,5,6,1,2,3],[6,3,2,5,4,1],[4,5,6,1,2,3],[6,3,2,5,4,1],[4,5,6,1,2,3],
[6,3,2,5,4,1]],
rperms:=[[6,3,2,5,4,1],[4,5,6,1,2,3],[6,3,2,5,4,1],[4,5,6,1,2,3],[6,3,2,5,4,1],
[4,5,6,1,2,3]])],[rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]]),rec(
lperms:=[[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],
[2,5,4,1,6,3]],
rperms:=[[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],
[2,3,4,5,6,1]])],[rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]]),rec(
lperms:=[[6,3,2,5,4,1],[4,5,6,1,2,3],[6,3,2,5,4,1],[4,5,6,1,2,3],[6,3,2,5,4,1],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[6,3,2,5,4,1],[4,5,6,1,2,3],[6,3,2,5,4,1],[4,5,6,1,2,3],
[6,3,2,5,4,1]])],[rec(
lperms:=[[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],[6,1,2,3,4,5],[2,5,4,1,6,3],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],[4,1,6,3,2,5],[2,3,4,5,6,1],
[4,1,6,3,2,5]]),rec(
lperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]])],[rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[5,1,6,3,2,4],[5,1,6,3,2,4],[2,5,4,6,1,3],
[5,1,6,3,2,4]],
rperms:=[[2,1,3,6,5,4],[1,5,6,4,2,3],[1,5,6,4,2,3],[5,2,4,3,1,6],[5,2,4,3,1,6],
[2,1,3,6,5,4]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]])],[rec(
lperms:=[[2,6,4,5,3,1],[1,4,3,2,6,5],[4,5,2,6,3,1],[3,4,1,2,5,6],[5,3,6,1,4,2],
[5,1,6,3,2,4]],
rperms:=[[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],
[6,4,5,2,1,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[2,6,4,5,3,1],[1,4,3,2,6,5],[4,5,2,6,3,1],[3,4,1,2,5,6],[5,3,6,1,4,2],
[5,1,6,3,2,4]],
rperms:=[[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],
[6,4,5,2,1,3]]),rec(
lperms:=[[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],
[3,2,1,4,6,5]],
rperms:=[[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],[3,2,1,4,6,5],
[3,2,1,4,6,5]])],[rec(
lperms:=[[2,6,4,5,3,1],[1,4,3,2,6,5],[4,5,2,6,3,1],[3,4,1,2,5,6],[5,3,6,1,4,2],
[5,1,6,3,2,4]],
rperms:=[[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],
[6,4,5,2,1,3]]),rec(
lperms:=[[5,4,6,2,3,1],[5,4,6,2,3,1],[5,4,6,2,3,1],[5,4,6,2,3,1],[5,4,6,2,3,1],
[5,4,6,2,3,1]],
rperms:=[[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],
[6,4,5,2,1,3]])],[rec(
lperms:=[[2,6,4,5,3,1],[1,4,3,2,6,5],[4,5,2,6,3,1],[3,4,1,2,5,6],[5,3,6,1,4,2],
[5,1,6,3,2,4]],
rperms:=[[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],
[6,4,5,2,1,3]]),rec(
lperms:=[[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],[6,4,5,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,2,3,1],[5,4,6,2,3,1],[5,4,6,2,3,1],[5,4,6,2,3,1],[5,4,6,2,3,1],
[5,4,6,2,3,1]])],[rec(
lperms:=[[3,1,2,4,5,6],[3,1,2,4,5,6],[3,1,2,4,5,6],[1,2,3,5,6,4],[1,2,3,5,6,4],
[1,2,3,5,6,4]],
rperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,6,4,5],[1,2,3,6,4,5],
[1,2,3,6,4,5]]),rec(
lperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]])],[rec(
lperms:=[[3,1,2,4,5,6],[3,1,2,4,5,6],[3,1,2,4,5,6],[1,2,3,5,6,4],[1,2,3,5,6,4],
[1,2,3,5,6,4]],
rperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,6,4,5],[1,2,3,6,4,5],
[1,2,3,6,4,5]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[3,1,2,4,5,6],[3,1,2,4,5,6],[3,1,2,4,5,6],[1,2,3,5,6,4],[1,2,3,5,6,4],
[1,2,3,5,6,4]],
rperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,6,4,5],[1,2,3,6,4,5],
[1,2,3,6,4,5]]),rec(
lperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]],
rperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]])],[rec(
lperms:=[[3,1,2,4,5,6],[3,1,2,4,5,6],[3,1,2,4,5,6],[1,2,3,6,4,5],[1,2,3,6,4,5],
[1,2,3,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[3,1,2,4,5,6],[3,1,2,4,5,6],[3,1,2,4,5,6],[1,2,3,6,4,5],[1,2,3,6,4,5],
[1,2,3,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[3,1,2,4,5,6],[3,1,2,4,5,6],[3,1,2,4,5,6],[1,2,3,6,4,5],[1,2,3,6,4,5],
[1,2,3,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[2,3,1,6,4,5],[2,3,1,6,4,5],
[2,3,1,6,4,5]],
rperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,5,6,4],[1,2,3,5,6,4],
[1,2,3,5,6,4]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[2,3,1,6,4,5],[2,3,1,6,4,5],
[2,3,1,6,4,5]],
rperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,5,6,4],[1,2,3,5,6,4],
[1,2,3,5,6,4]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[2,3,1,6,4,5],[2,3,1,6,4,5],
[2,3,1,6,4,5]],
rperms:=[[2,3,1,4,5,6],[2,3,1,4,5,6],[2,3,1,4,5,6],[1,2,3,5,6,4],[1,2,3,5,6,4],
[1,2,3,5,6,4]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[3,1,2,5,6,4],[3,1,2,5,6,4],
[3,1,2,5,6,4]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[3,1,2,5,6,4],[3,1,2,5,6,4],
[3,1,2,5,6,4]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[3,1,2,5,6,4],[3,1,2,5,6,4],
[3,1,2,5,6,4]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[3,2,1,5,6,4],[2,1,3,5,6,4],[1,3,2,5,6,4],[2,3,1,6,5,4],[2,3,1,5,4,6],
[2,3,1,4,6,5]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[3,2,1,5,6,4],[2,1,3,5,6,4],[1,3,2,5,6,4],[2,3,1,6,5,4],[2,3,1,5,4,6],
[2,3,1,4,6,5]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[3,2,1,5,6,4],[2,1,3,5,6,4],[1,3,2,5,6,4],[2,3,1,6,5,4],[2,3,1,5,4,6],
[2,3,1,4,6,5]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[3,2,1,4,6,5],[1,4,3,2,6,5],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,2,1,4,6,5],
[1,4,3,2,6,5]],
rperms:=[[3,6,1,5,4,2],[5,4,6,2,1,3],[3,6,1,5,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,2,1,4,6,5],[1,4,3,2,6,5],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,2,1,4,6,5],
[1,4,3,2,6,5]],
rperms:=[[3,6,1,5,4,2],[5,4,6,2,1,3],[3,6,1,5,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[2,1,4,3,6,5],[2,1,4,3,6,5],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[2,1,4,3,6,5],[2,1,4,3,6,5],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,2,1,4,6,5],[1,4,3,2,6,5],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,2,1,4,6,5],
[1,4,3,2,6,5]],
rperms:=[[3,6,1,5,4,2],[5,4,6,2,1,3],[3,6,1,5,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[1,2,3,4,5,6],
[5,4,6,2,1,3]],
rperms:=[[1,2,3,4,5,6],[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[1,2,3,4,5,6],
[5,4,6,2,1,3]])],[rec(
lperms:=[[3,2,1,4,6,5],[1,4,3,2,6,5],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,2,1,4,6,5],
[1,4,3,2,6,5]],
rperms:=[[3,6,1,5,4,2],[5,4,6,2,1,3],[3,6,1,5,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[3,2,1,4,6,5],[1,4,3,2,6,5],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,2,1,4,6,5],
[1,4,3,2,6,5]],
rperms:=[[3,6,1,5,4,2],[5,4,6,2,1,3],[3,6,1,5,4,2],[5,4,6,2,1,3],[2,1,4,3,6,5],
[2,1,4,3,6,5]]),rec(
lperms:=[[4,5,2,6,3,1],[4,5,2,6,3,1],[4,5,2,6,3,1],[4,5,2,6,3,1],[4,5,2,6,3,1],
[4,5,2,6,3,1]],
rperms:=[[6,3,5,1,2,4],[6,3,5,1,2,4],[6,3,5,1,2,4],[6,3,5,1,2,4],[6,3,5,1,2,4],
[6,3,5,1,2,4]])],[rec(
lperms:=[[3,4,1,2,5,6],[5,1,6,3,2,4],[3,2,1,4,6,5],[6,3,5,1,2,4],[4,5,2,6,3,1],
[2,5,4,6,1,3]],
rperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,1,2,5,6],[5,1,6,3,2,4],[3,2,1,4,6,5],[6,3,5,1,2,4],[4,5,2,6,3,1],
[2,5,4,6,1,3]],
rperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]]),rec(
lperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]],
rperms:=[[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],[1,4,3,2,6,5],
[1,4,3,2,6,5]])],[rec(
lperms:=[[3,4,1,2,5,6],[5,1,6,3,2,4],[3,2,1,4,6,5],[6,3,5,1,2,4],[4,5,2,6,3,1],
[2,5,4,6,1,3]],
rperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]]),rec(
lperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]])],[rec(
lperms:=[[3,4,1,2,5,6],[5,1,6,3,2,4],[3,2,1,4,6,5],[6,3,5,1,2,4],[4,5,2,6,3,1],
[2,5,4,6,1,3]],
rperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]]),rec(
lperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]],
rperms:=[[3,4,1,2,6,5],[4,6,5,1,3,2],[3,6,1,5,4,2],[6,4,2,1,3,5],[6,3,2,5,4,1],
[4,3,5,2,6,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]],
rperms:=[[3,4,1,2,6,5],[4,6,5,1,3,2],[3,6,1,5,4,2],[6,4,2,1,3,5],[6,3,2,5,4,1],
[4,3,5,2,6,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]],
rperms:=[[3,4,1,2,6,5],[4,6,5,1,3,2],[3,6,1,5,4,2],[6,4,2,1,3,5],[6,3,2,5,4,1],
[4,3,5,2,6,1]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]],
rperms:=[[3,4,1,2,6,5],[4,6,5,1,3,2],[3,6,1,5,4,2],[6,4,2,1,3,5],[6,3,2,5,4,1],
[4,3,5,2,6,1]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]],
rperms:=[[3,4,1,2,6,5],[4,6,5,1,3,2],[3,6,1,5,4,2],[6,4,2,1,3,5],[6,3,2,5,4,1],
[4,3,5,2,6,1]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],
[3,4,1,2,6,5]])],[rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]],
rperms:=[[3,4,1,2,6,5],[4,6,5,1,3,2],[3,6,1,5,4,2],[6,4,2,1,3,5],[6,3,2,5,4,1],
[4,3,5,2,6,1]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]]),rec(
lperms:=[[4,3,2,1,6,5],[4,3,2,1,6,5],[6,4,5,2,3,1],[6,4,5,2,3,1],[4,3,2,1,6,5],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[4,3,2,1,6,5],[4,3,2,1,6,5],[6,4,5,2,3,1],
[4,3,2,1,6,5]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,6,2,5,3,1],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,6,2,5,3,1],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,6,2,5,3,1],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,6,2,5,3,1],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,6,2,5,3,1],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],
[3,4,1,2,6,5]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,6,2,5,3,1],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,4,1,2,6,5],
[3,6,1,5,4,2]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],[3,4,1,2,6,5],[4,6,2,5,3,1],
[6,3,5,1,4,2]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[3,6,1,5,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],
[3,6,1,5,4,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],[3,4,1,2,6,5],[4,6,2,5,3,1],
[6,3,5,1,4,2]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[3,6,1,5,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],
[3,6,1,5,4,2]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],[6,4,5,2,3,1],[3,6,1,5,4,2],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[3,6,1,5,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],
[3,6,1,5,4,2]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],[3,4,1,2,6,5],[4,6,2,5,3,1],
[6,3,5,1,4,2]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[3,6,1,5,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],
[3,6,1,5,4,2]]),rec(
lperms:=[[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],
[4,3,2,1,6,5]],
rperms:=[[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],[4,3,2,1,6,5],
[4,3,2,1,6,5]])],[rec(
lperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],[3,4,1,2,6,5],[4,6,2,5,3,1],
[6,3,5,1,4,2]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[3,6,1,5,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],
[3,6,1,5,4,2]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[3,6,1,5,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[6,4,5,2,3,1],[6,4,5,2,3,1],[3,6,1,5,4,2],
[6,4,5,2,3,1]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],
[6,5,2,1,3,4]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,5,6,2,1],[4,3,5,6,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]],
rperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[6,5,2,1,4,3],[6,5,2,1,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,5,6,2,1],[4,3,5,6,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]],
rperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[6,5,2,1,4,3],[6,5,2,1,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,5,6,2,1],[4,3,5,6,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]],
rperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[6,5,2,1,4,3],[6,5,2,1,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,5,6,2,1],[4,3,5,6,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]],
rperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[6,5,2,1,4,3],[6,5,2,1,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,5,6,2,1],[4,3,5,6,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]],
rperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[6,5,2,1,4,3],[6,5,2,1,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,5,6,2,1],[4,3,5,6,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]],
rperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[6,5,2,1,4,3],[6,5,2,1,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,5,6,2,1],
[4,3,5,6,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,5,6,2,1],
[4,3,5,6,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,5,6,2,1],
[4,3,5,6,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,5,6,2,1],
[4,3,5,6,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]],
rperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,5,6,2,1],
[4,3,5,6,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]])],[rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,5,6,2,1],
[4,3,5,6,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,1,2,4,3],
[5,6,1,2,4,3]]),rec(
lperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]])],[rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]]),rec(
lperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]])],[rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]]),rec(
lperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]],
rperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]])],[rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]]),rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]])],[rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]]),rec(
lperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]])],[rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],[4,3,5,6,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],[4,3,5,6,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],[4,3,5,6,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],[4,3,5,6,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]]),rec(
lperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]])],[rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],[4,3,5,6,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],[4,3,5,6,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]]),rec(
lperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]])],[rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,1,2,3,4],
[5,6,1,2,3,4]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,1,2,3,4],
[5,6,1,2,3,4]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,1,2,3,4],
[5,6,1,2,3,4]]),rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]])],[rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,1,2,3,4],
[5,6,1,2,3,4]]),rec(
lperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],
[6,5,2,1,3,4]])],[rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,1,2,3,4],
[5,6,1,2,3,4]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,1,2,3,4],
[5,6,1,2,3,4]]),rec(
lperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]])],[rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,1,2,3,4],
[5,6,1,2,3,4]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,1,2,3,4],
[5,6,1,2,3,4]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,1,2,3,4],
[5,6,1,2,3,4]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,1,2,3,4],
[5,6,1,2,3,4]]),rec(
lperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]])],[rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,1,2,3,4],
[5,6,1,2,3,4]]),rec(
lperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]])],[rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,1,2,3,4],
[5,6,1,2,3,4]]),rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]])],[rec(
lperms:=[[3,5,1,6,2,4],[5,3,6,1,4,2],[3,5,1,6,2,4],[6,4,5,2,3,1],[4,6,2,5,1,3],
[2,1,4,3,6,5]],
rperms:=[[3,6,1,4,5,2],[3,4,1,2,6,5],[3,2,1,5,4,6],[3,2,1,5,4,6],[3,4,1,2,6,5],
[3,6,1,4,5,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,5,1,6,2,4],[5,3,6,1,4,2],[3,5,1,6,2,4],[6,4,5,2,3,1],[4,6,2,5,1,3],
[2,1,4,3,6,5]],
rperms:=[[3,6,1,4,5,2],[3,4,1,2,6,5],[3,2,1,5,4,6],[3,2,1,5,4,6],[3,4,1,2,6,5],
[3,6,1,4,5,2]]),rec(
lperms:=[[1,2,3,4,5,6],[3,5,1,6,2,4],[1,2,3,4,5,6],[1,2,3,4,5,6],[3,5,1,6,2,4],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[3,5,1,6,2,4],[1,2,3,4,5,6],[1,2,3,4,5,6],[3,5,1,6,2,4],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,5,1,6,2,4],[5,3,6,1,4,2],[3,5,1,6,2,4],[6,4,5,2,3,1],[4,6,2,5,1,3],
[2,1,4,3,6,5]],
rperms:=[[3,6,1,4,5,2],[3,4,1,2,6,5],[3,2,1,5,4,6],[3,2,1,5,4,6],[3,4,1,2,6,5],
[3,6,1,4,5,2]]),rec(
lperms:=[[3,5,1,6,2,4],[1,2,3,4,5,6],[3,5,1,6,2,4],[3,5,1,6,2,4],[1,2,3,4,5,6],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[1,2,3,4,5,6],[3,5,1,6,2,4],[3,5,1,6,2,4],[1,2,3,4,5,6],
[3,5,1,6,2,4]])],[rec(
lperms:=[[3,5,1,6,2,4],[5,3,6,1,4,2],[3,5,1,6,2,4],[6,4,5,2,3,1],[4,6,2,5,1,3],
[2,1,4,3,6,5]],
rperms:=[[3,6,1,4,5,2],[3,4,1,2,6,5],[3,2,1,5,4,6],[3,2,1,5,4,6],[3,4,1,2,6,5],
[3,6,1,4,5,2]]),rec(
lperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]],
rperms:=[[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],[3,5,1,6,2,4],
[3,5,1,6,2,4]])],[rec(
lperms:=[[3,5,1,6,2,4],[6,4,5,2,3,1],[3,5,1,6,2,4],[6,4,5,2,3,1],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[3,2,1,4,6,5],[1,4,3,2,6,5],[3,4,1,2,5,6],[3,4,1,2,5,6],[1,4,3,2,6,5],
[3,2,1,4,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,5,1,6,2,4],[6,4,5,2,3,1],[3,5,1,6,2,4],[6,4,5,2,3,1],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[3,2,1,4,6,5],[1,4,3,2,6,5],[3,4,1,2,5,6],[3,4,1,2,5,6],[1,4,3,2,6,5],
[3,2,1,4,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[2,1,4,3,6,5],[2,1,4,3,6,5],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[2,1,4,3,6,5],[2,1,4,3,6,5],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,5,1,6,2,4],[6,4,5,2,3,1],[3,5,1,6,2,4],[6,4,5,2,3,1],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[3,2,1,4,6,5],[1,4,3,2,6,5],[3,4,1,2,5,6],[3,4,1,2,5,6],[1,4,3,2,6,5],
[3,2,1,4,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,5,1,6,2,4],[6,4,5,2,3,1],[3,5,1,6,2,4],[6,4,5,2,3,1],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[3,2,1,4,6,5],[1,4,3,2,6,5],[3,4,1,2,5,6],[3,4,1,2,5,6],[1,4,3,2,6,5],
[3,2,1,4,6,5]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[3,5,1,6,2,4],[6,4,5,2,3,1],[3,5,1,6,2,4],[6,4,5,2,3,1],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[3,2,1,4,6,5],[1,4,3,2,6,5],[3,4,1,2,5,6],[3,4,1,2,5,6],[1,4,3,2,6,5],
[3,2,1,4,6,5]]),rec(
lperms:=[[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],
[4,6,2,5,1,3]],
rperms:=[[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],
[5,3,6,1,4,2]])],[rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],
[4,6,2,5,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],
[4,6,2,5,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],
[4,6,2,5,3,1]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],
[4,6,2,5,3,1]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]])],[rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],
[4,6,2,5,3,1]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]])],[rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,4,1,2,6,5],[6,3,5,1,4,2],[3,4,1,2,6,5],[6,3,5,1,4,2],[4,6,2,5,3,1],
[4,6,2,5,3,1]]),rec(
lperms:=[[4,3,2,1,6,5],[4,3,2,1,6,5],[6,4,5,2,3,1],[6,4,5,2,3,1],[4,3,2,1,6,5],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[4,3,2,1,6,5],[4,3,2,1,6,5],[6,4,5,2,3,1],
[4,3,2,1,6,5]])],[rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[4,3,2,1,6,5],[4,3,2,1,6,5],[3,6,1,5,4,2],
[4,3,2,1,6,5]],
rperms:=[[4,6,5,1,3,2],[3,4,2,5,6,1],[3,4,2,5,6,1],[6,3,1,2,4,5],[6,3,1,2,4,5],
[4,6,5,1,3,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[4,3,2,1,6,5],[4,3,2,1,6,5],[3,6,1,5,4,2],
[4,3,2,1,6,5]],
rperms:=[[4,6,5,1,3,2],[3,4,2,5,6,1],[3,4,2,5,6,1],[6,3,1,2,4,5],[6,3,1,2,4,5],
[4,6,5,1,3,2]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[4,3,2,1,6,5],[4,3,2,1,6,5],[3,6,1,5,4,2],
[4,3,2,1,6,5]],
rperms:=[[4,3,2,1,6,5],[4,3,2,1,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[4,3,2,1,6,5],
[3,6,1,5,4,2]])],[rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[4,3,2,1,6,5],[4,3,2,1,6,5],[3,6,1,5,4,2],
[4,3,2,1,6,5]],
rperms:=[[4,6,5,1,3,2],[3,4,2,5,6,1],[3,4,2,5,6,1],[6,3,1,2,4,5],[6,3,1,2,4,5],
[4,6,5,1,3,2]]),rec(
lperms:=[[4,3,2,1,6,5],[4,3,2,1,6,5],[3,6,1,5,4,2],[3,6,1,5,4,2],[4,3,2,1,6,5],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[4,3,2,1,6,5],[4,3,2,1,6,5],[3,6,1,5,4,2],
[4,3,2,1,6,5]])],[rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[4,3,2,1,6,5],[4,3,2,1,6,5],[3,6,1,5,4,2],
[4,3,2,1,6,5]],
rperms:=[[4,6,5,1,3,2],[3,4,2,5,6,1],[3,4,2,5,6,1],[6,3,1,2,4,5],[6,3,1,2,4,5],
[4,6,5,1,3,2]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,2,3,4,5,6],
[1,5,3,6,2,4]])],[rec(
lperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]]),rec(
lperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]],
rperms:=[[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],[1,5,3,6,2,4],
[1,5,3,6,2,4]])],[rec(
lperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]])],[rec(
lperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]]),rec(
lperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]],
rperms:=[[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],[3,6,1,5,4,2],
[3,6,1,5,4,2]])],[rec(
lperms:=[[3,6,1,5,4,2],[6,4,5,2,3,1],[3,6,1,5,4,2],[6,4,5,2,3,1],[4,3,2,1,6,5],
[4,3,2,1,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]]),rec(
lperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]])],[rec(
lperms:=[[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],
[4,1,2,3,6,5]],
rperms:=[[5,3,6,1,4,2],[2,6,4,5,3,1],[6,3,5,1,2,4],[2,5,4,6,1,3],[1,4,3,2,6,5],
[3,2,1,4,6,5]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],
[4,1,2,3,6,5]],
rperms:=[[5,3,6,1,4,2],[2,6,4,5,3,1],[6,3,5,1,2,4],[2,5,4,6,1,3],[1,4,3,2,6,5],
[3,2,1,4,6,5]]),rec(
lperms:=[[2,3,4,1,6,5],[2,3,4,1,6,5],[2,3,4,1,6,5],[2,3,4,1,6,5],[2,3,4,1,6,5],
[2,3,4,1,6,5]],
rperms:=[[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],
[4,1,2,3,6,5]])],[rec(
lperms:=[[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],
[4,1,2,3,6,5]],
rperms:=[[5,3,6,1,4,2],[2,6,4,5,3,1],[6,3,5,1,2,4],[2,5,4,6,1,3],[1,4,3,2,6,5],
[3,2,1,4,6,5]]),rec(
lperms:=[[3,4,1,2,5,6],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,4,1,2,5,6],
[3,4,1,2,5,6]],
rperms:=[[3,4,1,2,5,6],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,4,1,2,5,6],[3,4,1,2,5,6],
[3,4,1,2,5,6]])],[rec(
lperms:=[[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],
[4,1,2,3,6,5]],
rperms:=[[5,3,6,1,4,2],[2,6,4,5,3,1],[6,3,5,1,2,4],[2,5,4,6,1,3],[1,4,3,2,6,5],
[3,2,1,4,6,5]]),rec(
lperms:=[[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],[4,1,2,3,6,5],
[4,1,2,3,6,5]],
rperms:=[[2,3,4,1,6,5],[2,3,4,1,6,5],[2,3,4,1,6,5],[2,3,4,1,6,5],[2,3,4,1,6,5],
[2,3,4,1,6,5]])],[rec(
lperms:=[[4,3,2,1,6,5],[3,6,1,5,4,2],[4,3,2,1,6,5],[3,6,1,5,4,2],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,3,2,1,6,5],[3,6,1,5,4,2],[4,3,2,1,6,5],[3,6,1,5,4,2],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[4,3,2,1,6,5],[3,6,1,5,4,2],[4,3,2,1,6,5],[3,6,1,5,4,2],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]])],[rec(
lperms:=[[4,3,2,1,6,5],[3,6,1,5,4,2],[4,3,2,1,6,5],[3,6,1,5,4,2],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]]),rec(
lperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]])],[rec(
lperms:=[[4,3,2,1,6,5],[3,6,1,5,4,2],[4,3,2,1,6,5],[3,6,1,5,4,2],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]]),rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]])],[rec(
lperms:=[[4,3,2,1,6,5],[3,6,1,5,4,2],[4,3,2,1,6,5],[3,6,1,5,4,2],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]]),rec(
lperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]],
rperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]])],[rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]]),rec(
lperms:=[[2,1,4,3,6,5],[4,5,6,1,2,3],[2,1,4,3,6,5],[4,5,6,1,2,3],[2,1,4,3,6,5],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[2,1,4,3,6,5],[4,5,6,1,2,3],[2,1,4,3,6,5],[4,5,6,1,2,3],
[2,1,4,3,6,5]])],[rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]]),rec(
lperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]],
rperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]])],[rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]]),rec(
lperms:=[[2,5,4,1,6,3],[2,5,4,1,6,3],[2,5,4,1,6,3],[2,5,4,1,6,3],[2,5,4,1,6,3],
[2,5,4,1,6,3]],
rperms:=[[4,1,6,3,2,5],[4,1,6,3,2,5],[4,1,6,3,2,5],[4,1,6,3,2,5],[4,1,6,3,2,5],
[4,1,6,3,2,5]])],[rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]]),rec(
lperms:=[[4,1,6,3,2,5],[4,1,6,3,2,5],[4,1,6,3,2,5],[4,1,6,3,2,5],[4,1,6,3,2,5],
[4,1,6,3,2,5]],
rperms:=[[2,5,4,1,6,3],[2,5,4,1,6,3],[2,5,4,1,6,3],[2,5,4,1,6,3],[2,5,4,1,6,3],
[2,5,4,1,6,3]])],[rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]]),rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]])],[rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]]),rec(
lperms:=[[4,5,6,1,2,3],[2,1,4,3,6,5],[4,5,6,1,2,3],[2,1,4,3,6,5],[4,5,6,1,2,3],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[4,5,6,1,2,3],[2,1,4,3,6,5],[4,5,6,1,2,3],[2,1,4,3,6,5],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]]),rec(
lperms:=[[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],
[2,3,4,5,6,1]])],[rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]]),rec(
lperms:=[[6,3,2,5,4,1],[6,3,2,5,4,1],[6,3,2,5,4,1],[6,3,2,5,4,1],[6,3,2,5,4,1],
[6,3,2,5,4,1]],
rperms:=[[6,3,2,5,4,1],[6,3,2,5,4,1],[6,3,2,5,4,1],[6,3,2,5,4,1],[6,3,2,5,4,1],
[6,3,2,5,4,1]])],[rec(
lperms:=[[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],
[6,5,2,1,4,3]]),rec(
lperms:=[[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],[2,3,4,5,6,1],[6,5,2,1,4,3],
[2,3,4,5,6,1]],
rperms:=[[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],[4,3,6,5,2,1],[6,1,2,3,4,5],
[4,3,6,5,2,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,2,1,3],[5,6,4,1,3,2],[5,6,4,3,2,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,2,1,3],[5,6,4,1,3,2],[5,6,4,3,2,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,2,1,3],[5,6,4,1,3,2],[5,6,4,3,2,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,2,1,3],[5,6,4,1,3,2],[5,6,4,3,2,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,2,1,3],[5,6,4,1,3,2],[5,6,4,3,2,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,2,1,3],[5,6,4,1,3,2],[5,6,4,3,2,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,2,1,3],[5,6,4,1,3,2],[5,6,4,3,2,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,2,1,3],[5,6,4,1,3,2],[5,6,4,3,2,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,2,1,3],[5,6,4,1,3,2],[5,6,4,3,2,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,2,1,3],[5,6,4,1,3,2],[5,6,4,3,2,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,2,1,3],[5,6,4,1,3,2],[5,6,4,3,2,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,2,1,3],[5,6,4,1,3,2],[5,6,4,3,2,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]])],[rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,5,6,1,2,3],[6,4,5,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,3,2,1],[4,5,6,2,1,3],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[4,5,6,2,1,3],[4,5,6,1,3,2],[4,5,6,3,2,1],[5,4,6,1,2,3],[4,6,5,1,2,3],
[6,5,4,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,2,1,3],[4,5,6,1,3,2],[4,5,6,3,2,1],[5,4,6,1,2,3],[4,6,5,1,2,3],
[6,5,4,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[4,5,6,2,1,3],[4,5,6,1,3,2],[4,5,6,3,2,1],[5,4,6,1,2,3],[4,6,5,1,2,3],
[6,5,4,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[4,5,6,2,1,3],[4,5,6,1,3,2],[4,5,6,3,2,1],[5,4,6,1,2,3],[4,6,5,1,2,3],
[6,5,4,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,2,1,3],[4,5,6,1,3,2],[4,5,6,3,2,1],[5,4,6,1,2,3],[4,6,5,1,2,3],
[6,5,4,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[4,5,6,2,1,3],[4,5,6,1,3,2],[4,5,6,3,2,1],[5,4,6,1,2,3],[4,6,5,1,2,3],
[6,5,4,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[4,5,6,2,1,3],[4,5,6,1,3,2],[4,5,6,3,2,1],[5,4,6,1,2,3],[4,6,5,1,2,3],
[6,5,4,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[4,5,6,2,1,3],[4,5,6,1,3,2],[4,5,6,3,2,1],[5,4,6,1,2,3],[4,6,5,1,2,3],
[6,5,4,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[4,5,6,2,1,3],[4,5,6,1,3,2],[4,5,6,3,2,1],[5,4,6,1,2,3],[4,6,5,1,2,3],
[6,5,4,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[4,5,6,2,1,3],[4,5,6,1,3,2],[4,5,6,3,2,1],[5,4,6,1,2,3],[4,6,5,1,2,3],
[6,5,4,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[4,5,6,2,1,3],[4,5,6,1,3,2],[4,5,6,3,2,1],[5,4,6,1,2,3],[4,6,5,1,2,3],
[6,5,4,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[4,5,6,2,1,3],[4,5,6,1,3,2],[4,5,6,3,2,1],[5,4,6,1,2,3],[4,6,5,1,2,3],
[6,5,4,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[6,5,4,1,2,3],[5,4,6,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[6,5,4,1,2,3],[5,4,6,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[6,5,4,1,2,3],[5,4,6,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[6,5,4,1,2,3],[5,4,6,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[6,5,4,1,2,3],[5,4,6,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[6,5,4,1,2,3],[5,4,6,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[6,5,4,1,2,3],[5,4,6,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[6,5,4,1,2,3],[5,4,6,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[6,5,4,1,2,3],[5,4,6,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[6,5,4,1,2,3],[5,4,6,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[6,5,4,1,2,3],[5,4,6,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[6,5,4,1,2,3],[5,4,6,1,2,3],
[4,6,5,1,2,3]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,3,1,2],[4,5,6,2,3,1],[4,6,5,1,3,2],[6,5,4,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]],
rperms:=[[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],[1,3,2,4,6,5],
[1,3,2,4,6,5]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]],
rperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],[4,6,5,1,2,3],
[4,6,5,1,2,3]],
rperms:=[[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],[4,5,6,1,3,2],
[4,5,6,1,3,2]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[6,5,4,1,2,3],
[5,4,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[6,4,5,2,1,3],[5,6,4,2,1,3],
[4,5,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[6,4,5,2,1,3],[5,6,4,2,1,3],
[4,5,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],
[2,3,1,6,4,5]],
rperms:=[[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],
[3,1,2,5,6,4]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[6,4,5,2,1,3],[5,6,4,2,1,3],
[4,5,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],
[3,1,2,5,6,4]],
rperms:=[[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],
[2,3,1,6,4,5]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[6,4,5,2,1,3],[5,6,4,2,1,3],
[4,5,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[5,4,6,2,1,3],[5,4,6,2,1,3],
[5,4,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[6,4,5,2,1,3],[5,6,4,2,1,3],
[4,5,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[6,4,5,2,1,3],[5,6,4,2,1,3],
[4,5,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[6,5,4,2,1,3],[6,5,4,2,1,3],
[6,5,4,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[6,4,5,2,1,3],[5,6,4,2,1,3],
[4,5,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]],
rperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[6,4,5,2,1,3],[5,6,4,2,1,3],
[4,5,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[5,4,6,2,1,3],[5,4,6,2,1,3],
[5,4,6,2,1,3]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[6,4,5,2,1,3],[5,6,4,2,1,3],
[4,5,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]],
rperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[6,5,4,2,1,3],[6,5,4,2,1,3],
[6,5,4,2,1,3]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[6,4,5,2,1,3],[5,6,4,2,1,3],
[4,5,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[5,4,6,3,2,1],[5,4,6,3,2,1],
[5,4,6,3,2,1]],
rperms:=[[6,5,4,2,1,3],[6,5,4,2,1,3],[6,5,4,2,1,3],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[6,4,5,2,1,3],[5,6,4,2,1,3],
[4,5,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[6,5,4,2,1,3],[6,5,4,2,1,3],[6,5,4,2,1,3],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]],
rperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[5,4,6,3,2,1],[5,4,6,3,2,1],
[5,4,6,3,2,1]])],[rec(
lperms:=[[4,6,5,1,2,3],[4,6,5,3,1,2],[4,6,5,2,3,1],[6,4,5,2,1,3],[5,6,4,2,1,3],
[4,5,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]]),rec(
lperms:=[[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],
[6,5,4,3,2,1]],
rperms:=[[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],
[6,5,4,3,2,1]])],[rec(
lperms:=[[4,6,5,2,3,1],[4,6,5,1,2,3],[4,6,5,3,1,2],[5,6,4,2,1,3],[4,5,6,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,6,5,2,3,1],[4,6,5,1,2,3],[4,6,5,3,1,2],[5,6,4,2,1,3],[4,5,6,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]]),rec(
lperms:=[[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],
[2,3,1,6,4,5]],
rperms:=[[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],
[3,1,2,5,6,4]])],[rec(
lperms:=[[4,6,5,2,3,1],[4,6,5,1,2,3],[4,6,5,3,1,2],[5,6,4,2,1,3],[4,5,6,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]]),rec(
lperms:=[[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],
[3,1,2,5,6,4]],
rperms:=[[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],
[2,3,1,6,4,5]])],[rec(
lperms:=[[4,6,5,2,3,1],[4,6,5,1,2,3],[4,6,5,3,1,2],[5,6,4,2,1,3],[4,5,6,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[5,4,6,2,1,3],[5,4,6,2,1,3],
[5,4,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[4,6,5,2,3,1],[4,6,5,1,2,3],[4,6,5,3,1,2],[5,6,4,2,1,3],[4,5,6,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]]),rec(
lperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]])],[rec(
lperms:=[[4,6,5,2,3,1],[4,6,5,1,2,3],[4,6,5,3,1,2],[5,6,4,2,1,3],[4,5,6,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]]),rec(
lperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[6,5,4,2,1,3],[6,5,4,2,1,3],
[6,5,4,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]])],[rec(
lperms:=[[4,6,5,2,3,1],[4,6,5,1,2,3],[4,6,5,3,1,2],[5,6,4,2,1,3],[4,5,6,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]]),rec(
lperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]],
rperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]])],[rec(
lperms:=[[4,6,5,2,3,1],[4,6,5,1,2,3],[4,6,5,3,1,2],[5,6,4,2,1,3],[4,5,6,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]]),rec(
lperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[5,4,6,2,1,3],[5,4,6,2,1,3],
[5,4,6,2,1,3]])],[rec(
lperms:=[[4,6,5,2,3,1],[4,6,5,1,2,3],[4,6,5,3,1,2],[5,6,4,2,1,3],[4,5,6,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]]),rec(
lperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]],
rperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[6,5,4,2,1,3],[6,5,4,2,1,3],
[6,5,4,2,1,3]])],[rec(
lperms:=[[4,6,5,2,3,1],[4,6,5,1,2,3],[4,6,5,3,1,2],[5,6,4,2,1,3],[4,5,6,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]]),rec(
lperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[5,4,6,3,2,1],[5,4,6,3,2,1],
[5,4,6,3,2,1]],
rperms:=[[6,5,4,2,1,3],[6,5,4,2,1,3],[6,5,4,2,1,3],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]])],[rec(
lperms:=[[4,6,5,2,3,1],[4,6,5,1,2,3],[4,6,5,3,1,2],[5,6,4,2,1,3],[4,5,6,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]]),rec(
lperms:=[[6,5,4,2,1,3],[6,5,4,2,1,3],[6,5,4,2,1,3],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]],
rperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[5,4,6,3,2,1],[5,4,6,3,2,1],
[5,4,6,3,2,1]])],[rec(
lperms:=[[4,6,5,2,3,1],[4,6,5,1,2,3],[4,6,5,3,1,2],[5,6,4,2,1,3],[4,5,6,2,1,3],
[6,4,5,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]]),rec(
lperms:=[[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],
[6,5,4,3,2,1]],
rperms:=[[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],
[6,5,4,3,2,1]])],[rec(
lperms:=[[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[4,5,6,2,1,3],[6,4,5,2,1,3],
[5,6,4,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[4,5,6,2,1,3],[6,4,5,2,1,3],
[5,6,4,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],
[2,3,1,6,4,5]],
rperms:=[[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],
[3,1,2,5,6,4]])],[rec(
lperms:=[[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[4,5,6,2,1,3],[6,4,5,2,1,3],
[5,6,4,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],[3,1,2,5,6,4],
[3,1,2,5,6,4]],
rperms:=[[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],[2,3,1,6,4,5],
[2,3,1,6,4,5]])],[rec(
lperms:=[[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[4,5,6,2,1,3],[6,4,5,2,1,3],
[5,6,4,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[5,4,6,2,1,3],[5,4,6,2,1,3],
[5,4,6,2,1,3]],
rperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]])],[rec(
lperms:=[[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[4,5,6,2,1,3],[6,4,5,2,1,3],
[5,6,4,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]])],[rec(
lperms:=[[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[4,5,6,2,1,3],[6,4,5,2,1,3],
[5,6,4,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[6,5,4,2,1,3],[6,5,4,2,1,3],
[6,5,4,2,1,3]],
rperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]])],[rec(
lperms:=[[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[4,5,6,2,1,3],[6,4,5,2,1,3],
[5,6,4,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]],
rperms:=[[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],[4,6,5,2,1,3],
[4,6,5,2,1,3]])],[rec(
lperms:=[[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[4,5,6,2,1,3],[6,4,5,2,1,3],
[5,6,4,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[5,4,6,2,1,3],[5,4,6,2,1,3],[5,4,6,2,1,3],[4,6,5,1,3,2],[4,6,5,1,3,2],
[4,6,5,1,3,2]],
rperms:=[[4,6,5,1,3,2],[4,6,5,1,3,2],[4,6,5,1,3,2],[5,4,6,2,1,3],[5,4,6,2,1,3],
[5,4,6,2,1,3]])],[rec(
lperms:=[[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[4,5,6,2,1,3],[6,4,5,2,1,3],
[5,6,4,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[5,4,6,3,2,1],[5,4,6,3,2,1],[5,4,6,3,2,1],[6,5,4,1,3,2],[6,5,4,1,3,2],
[6,5,4,1,3,2]],
rperms:=[[4,6,5,3,2,1],[4,6,5,3,2,1],[4,6,5,3,2,1],[6,5,4,2,1,3],[6,5,4,2,1,3],
[6,5,4,2,1,3]])],[rec(
lperms:=[[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[4,5,6,2,1,3],[6,4,5,2,1,3],
[5,6,4,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[5,4,6,3,2,1],[5,4,6,3,2,1],
[5,4,6,3,2,1]],
rperms:=[[6,5,4,2,1,3],[6,5,4,2,1,3],[6,5,4,2,1,3],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]])],[rec(
lperms:=[[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[4,5,6,2,1,3],[6,4,5,2,1,3],
[5,6,4,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[6,5,4,2,1,3],[6,5,4,2,1,3],[6,5,4,2,1,3],[4,6,5,3,2,1],[4,6,5,3,2,1],
[4,6,5,3,2,1]],
rperms:=[[6,5,4,1,3,2],[6,5,4,1,3,2],[6,5,4,1,3,2],[5,4,6,3,2,1],[5,4,6,3,2,1],
[5,4,6,3,2,1]])],[rec(
lperms:=[[4,6,5,3,1,2],[4,6,5,2,3,1],[4,6,5,1,2,3],[4,5,6,2,1,3],[6,4,5,2,1,3],
[5,6,4,2,1,3]],
rperms:=[[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],[5,4,6,1,3,2],
[5,4,6,1,3,2]]),rec(
lperms:=[[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],
[6,5,4,3,2,1]],
rperms:=[[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],[6,5,4,3,2,1],
[6,5,4,3,2,1]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[5,2,6,4,1,3],[2,1,4,3,5,6],[5,2,6,4,1,3],[2,1,4,3,5,6],[1,5,3,6,2,4],
[1,5,3,6,2,4]]),rec(
lperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[5,2,6,4,1,3],[2,1,4,3,5,6],[5,2,6,4,1,3],[2,1,4,3,5,6],[1,5,3,6,2,4],
[1,5,3,6,2,4]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[5,2,6,4,1,3],[2,1,4,3,5,6],[5,2,6,4,1,3],[2,1,4,3,5,6],[1,5,3,6,2,4],
[1,5,3,6,2,4]]),rec(
lperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]],
rperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[5,2,6,4,1,3],[2,1,4,3,5,6],[6,4,5,2,1,3],[2,3,4,1,6,5],[1,5,3,6,2,4],
[3,5,1,6,4,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[5,2,6,4,1,3],[2,1,4,3,5,6],[6,4,5,2,1,3],[2,3,4,1,6,5],[1,5,3,6,2,4],
[3,5,1,6,4,2]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[5,2,6,4,1,3],[2,1,4,3,5,6],[6,4,5,2,1,3],[2,3,4,1,6,5],[1,5,3,6,2,4],
[3,5,1,6,4,2]]),rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[5,4,6,2,1,3],[2,1,4,3,6,5],[6,2,5,4,1,3],[2,3,4,1,5,6],[3,5,1,6,2,4],
[1,5,3,6,4,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[5,4,6,2,1,3],[2,1,4,3,6,5],[6,2,5,4,1,3],[2,3,4,1,5,6],[3,5,1,6,2,4],
[1,5,3,6,4,2]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[5,4,6,2,1,3],[2,1,4,3,6,5],[6,2,5,4,1,3],[2,3,4,1,5,6],[3,5,1,6,2,4],
[1,5,3,6,4,2]]),rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[6,1,5,3,4,2],[6,3,5,1,2,4],[5,1,6,3,2,4],
[5,3,6,1,4,2]],
rperms:=[[5,2,6,4,1,3],[2,1,4,3,5,6],[5,2,6,4,1,3],[2,1,4,3,5,6],[1,5,3,6,2,4],
[1,5,3,6,2,4]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[6,1,5,3,4,2],[6,3,5,1,2,4],[5,1,6,3,2,4],
[5,3,6,1,4,2]],
rperms:=[[5,2,6,4,1,3],[2,1,4,3,5,6],[5,2,6,4,1,3],[2,1,4,3,5,6],[1,5,3,6,2,4],
[1,5,3,6,2,4]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[6,1,5,3,4,2],[6,3,5,1,2,4],[5,1,6,3,2,4],
[5,3,6,1,4,2]],
rperms:=[[5,2,6,4,1,3],[2,1,4,3,5,6],[5,2,6,4,1,3],[2,1,4,3,5,6],[1,5,3,6,2,4],
[1,5,3,6,2,4]]),rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[6,1,5,3,4,2],[6,3,5,1,2,4],[6,1,5,3,4,2],
[6,3,5,1,2,4]],
rperms:=[[6,4,5,2,3,1],[2,1,4,3,6,5],[6,4,5,2,3,1],[2,1,4,3,6,5],[3,5,1,6,2,4],
[3,5,1,6,2,4]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[6,1,5,3,4,2],[6,3,5,1,2,4],[6,1,5,3,4,2],
[6,3,5,1,2,4]],
rperms:=[[6,4,5,2,3,1],[2,1,4,3,6,5],[6,4,5,2,3,1],[2,1,4,3,6,5],[3,5,1,6,2,4],
[3,5,1,6,2,4]]),rec(
lperms:=[[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],
[4,6,2,5,1,3]],
rperms:=[[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],
[5,3,6,1,4,2]])],[rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[6,1,5,3,4,2],[6,3,5,1,2,4],[6,1,5,3,4,2],
[6,3,5,1,2,4]],
rperms:=[[6,4,5,2,3,1],[2,1,4,3,6,5],[6,4,5,2,3,1],[2,1,4,3,6,5],[3,5,1,6,2,4],
[3,5,1,6,2,4]]),rec(
lperms:=[[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],[5,3,6,1,4,2],
[5,3,6,1,4,2]],
rperms:=[[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],[4,6,2,5,1,3],
[4,6,2,5,1,3]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]]),rec(
lperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]]),rec(
lperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]],
rperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]]),rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]]),rec(
lperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],
[3,4,6,5,1,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],
[3,4,6,5,1,2]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],
[3,4,6,5,1,2]]),rec(
lperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],
[3,4,6,5,1,2]]),rec(
lperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]],
rperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],
[3,4,6,5,1,2]]),rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,2,1,4,3],[5,6,2,1,4,3],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],
[3,4,6,5,1,2]]),rec(
lperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]]),rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]]),rec(
lperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],
[6,5,2,1,3,4]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]]),rec(
lperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]]),rec(
lperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]],
rperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]]),rec(
lperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]],
rperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],
[6,5,2,1,3,4]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]]),rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],[5,6,1,2,4,3],
[5,6,1,2,4,3]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,6,5,1,2],
[3,4,6,5,1,2]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,1,2,4,3],[6,5,1,2,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]]),rec(
lperms:=[[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],
[6,5,2,1,3,4]],
rperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]]),rec(
lperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]]),rec(
lperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]]),rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,5,6,1,2],
[3,4,5,6,1,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,5,6,1,2],
[3,4,5,6,1,2]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,5,6,1,2],
[3,4,5,6,1,2]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,5,6,1,2],
[3,4,5,6,1,2]]),rec(
lperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,5,6,1,2],
[3,4,5,6,1,2]]),rec(
lperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]])],[rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[6,5,2,1,3,4],[6,5,2,1,3,4],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[4,3,5,6,2,1],[4,3,5,6,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,5,6,1,2],
[3,4,5,6,1,2]]),rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[3,4,6,5,1,2],[3,4,6,5,1,2],[3,4,5,6,2,1],[3,4,5,6,2,1],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],[6,5,1,2,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]]),rec(
lperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]]),rec(
lperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]],
rperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]]),rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]]),rec(
lperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],
[3,4,6,5,1,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],
[3,4,6,5,1,2]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],
[3,4,6,5,1,2]]),rec(
lperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]],
rperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],
[3,4,6,5,1,2]]),rec(
lperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]],
rperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],
[3,4,6,5,1,2]]),rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,2,1,3,4],
[5,6,2,1,3,4]],
rperms:=[[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]])],[rec(
lperms:=[[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,6,5,1,2],
[3,4,6,5,1,2]]),rec(
lperms:=[[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],[6,5,1,2,4,3],
[6,5,1,2,4,3]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,6,5,2,1],
[3,4,6,5,2,1]])],[rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]]),rec(
lperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]])],[rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[4,3,5,6,2,1],[4,3,5,6,2,1],[4,3,6,5,1,2],
[4,3,6,5,1,2]]),rec(
lperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]])],[rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]]),rec(
lperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]])],[rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[5,6,2,1,3,4],[5,6,2,1,3,4],[5,6,1,2,4,3],[5,6,1,2,4,3],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]]),rec(
lperms:=[[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],[6,5,2,1,4,3],
[6,5,2,1,4,3]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],[4,3,6,5,2,1],
[4,3,6,5,2,1]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[5,4,6,3,1,2],[4,6,5,3,1,2],
[6,5,4,3,1,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[5,4,6,3,1,2],[4,6,5,3,1,2],
[6,5,4,3,1,2]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[5,4,6,3,1,2],[4,6,5,3,1,2],
[6,5,4,3,1,2]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[5,4,6,3,1,2],[4,6,5,3,1,2],
[6,5,4,3,1,2]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[5,4,6,3,1,2],[4,6,5,3,1,2],
[6,5,4,3,1,2]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[5,4,6,3,1,2],[4,6,5,3,1,2],
[6,5,4,3,1,2]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[5,4,6,3,1,2],[4,6,5,3,1,2],
[6,5,4,3,1,2]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[5,4,6,3,1,2],[4,6,5,3,1,2],
[6,5,4,3,1,2]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[5,4,6,3,1,2],[4,6,5,3,1,2],
[6,5,4,3,1,2]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[5,4,6,3,1,2],[4,6,5,3,1,2],
[6,5,4,3,1,2]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[5,4,6,3,1,2],[4,6,5,3,1,2],
[6,5,4,3,1,2]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[5,4,6,3,1,2],[4,6,5,3,1,2],
[6,5,4,3,1,2]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]]),rec(
lperms:=[[2,1,4,3,6,5],[6,3,2,5,4,1],[2,1,4,3,6,5],[6,3,2,5,4,1],[2,1,4,3,6,5],
[6,3,2,5,4,1]],
rperms:=[[6,3,2,5,4,1],[2,1,4,3,6,5],[6,3,2,5,4,1],[2,1,4,3,6,5],[6,3,2,5,4,1],
[2,1,4,3,6,5]])],[rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]]),rec(
lperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]],
rperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]])],[rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]]),rec(
lperms:=[[2,5,4,1,6,3],[4,3,6,5,2,1],[2,5,4,1,6,3],[4,3,6,5,2,1],[2,5,4,1,6,3],
[4,3,6,5,2,1]],
rperms:=[[6,5,2,1,4,3],[4,1,6,3,2,5],[6,5,2,1,4,3],[4,1,6,3,2,5],[6,5,2,1,4,3],
[4,1,6,3,2,5]])],[rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]]),rec(
lperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]],
rperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]])],[rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]]),rec(
lperms:=[[4,1,6,3,2,5],[6,5,2,1,4,3],[4,1,6,3,2,5],[6,5,2,1,4,3],[4,1,6,3,2,5],
[6,5,2,1,4,3]],
rperms:=[[4,3,6,5,2,1],[2,5,4,1,6,3],[4,3,6,5,2,1],[2,5,4,1,6,3],[4,3,6,5,2,1],
[2,5,4,1,6,3]])],[rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]]),rec(
lperms:=[[4,3,6,5,2,1],[2,5,4,1,6,3],[4,3,6,5,2,1],[2,5,4,1,6,3],[4,3,6,5,2,1],
[2,5,4,1,6,3]],
rperms:=[[4,1,6,3,2,5],[6,5,2,1,4,3],[4,1,6,3,2,5],[6,5,2,1,4,3],[4,1,6,3,2,5],
[6,5,2,1,4,3]])],[rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]]),rec(
lperms:=[[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],[5,6,1,2,3,4],
[5,6,1,2,3,4]],
rperms:=[[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],[3,4,5,6,1,2],
[3,4,5,6,1,2]])],[rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]]),rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]])],[rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]]),rec(
lperms:=[[6,3,2,5,4,1],[2,1,4,3,6,5],[6,3,2,5,4,1],[2,1,4,3,6,5],[6,3,2,5,4,1],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[6,3,2,5,4,1],[2,1,4,3,6,5],[6,3,2,5,4,1],[2,1,4,3,6,5],
[6,3,2,5,4,1]])],[rec(
lperms:=[[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],[6,1,2,3,4,5],
[6,1,2,3,4,5]],
rperms:=[[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],[2,3,4,5,6,1],
[2,3,4,5,6,1]]),rec(
lperms:=[[6,5,2,1,4,3],[4,1,6,3,2,5],[6,5,2,1,4,3],[4,1,6,3,2,5],[6,5,2,1,4,3],
[4,1,6,3,2,5]],
rperms:=[[2,5,4,1,6,3],[4,3,6,5,2,1],[2,5,4,1,6,3],[4,3,6,5,2,1],[2,5,4,1,6,3],
[4,3,6,5,2,1]])],[rec(
lperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]],
rperms:=[[6,4,5,2,3,1],[4,3,2,1,6,5],[6,4,5,2,3,1],[4,3,2,1,6,5],[3,6,1,5,4,2],
[3,6,1,5,4,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]],
rperms:=[[6,4,5,2,3,1],[4,3,2,1,6,5],[6,4,5,2,3,1],[4,3,2,1,6,5],[3,6,1,5,4,2],
[3,6,1,5,4,2]]),rec(
lperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]],
rperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]])],[rec(
lperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]],
rperms:=[[6,4,5,2,3,1],[4,3,2,1,6,5],[6,4,5,2,3,1],[4,3,2,1,6,5],[3,6,1,5,4,2],
[3,6,1,5,4,2]]),rec(
lperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]],
rperms:=[[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],[3,4,1,2,6,5],
[3,4,1,2,6,5]])],[rec(
lperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]],
rperms:=[[6,4,5,2,3,1],[4,3,2,1,6,5],[6,4,5,2,3,1],[4,3,2,1,6,5],[3,6,1,5,4,2],
[3,6,1,5,4,2]]),rec(
lperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]],
rperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]])],[rec(
lperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]],
rperms:=[[6,4,5,2,3,1],[4,3,2,1,6,5],[6,4,5,2,3,1],[4,3,2,1,6,5],[3,6,1,5,4,2],
[3,6,1,5,4,2]]),rec(
lperms:=[[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],[5,1,6,3,2,4],
[5,1,6,3,2,4]],
rperms:=[[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],[2,5,4,6,1,3],
[2,5,4,6,1,3]])],[rec(
lperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]],
rperms:=[[6,4,5,2,3,1],[4,3,2,1,6,5],[6,4,5,2,3,1],[4,3,2,1,6,5],[3,6,1,5,4,2],
[3,6,1,5,4,2]]),rec(
lperms:=[[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],[6,3,5,1,4,2],
[6,3,5,1,4,2]],
rperms:=[[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],[4,6,2,5,3,1],
[4,6,2,5,3,1]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[4,6,5,2,3,1],[6,5,4,2,3,1],
[5,4,6,2,3,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[4,6,5,2,3,1],[6,5,4,2,3,1],
[5,4,6,2,3,1]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[4,6,5,2,3,1],[6,5,4,2,3,1],
[5,4,6,2,3,1]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[4,6,5,2,3,1],[6,5,4,2,3,1],
[5,4,6,2,3,1]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[4,6,5,2,3,1],[6,5,4,2,3,1],
[5,4,6,2,3,1]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[4,6,5,2,3,1],[6,5,4,2,3,1],
[5,4,6,2,3,1]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[4,6,5,2,3,1],[6,5,4,2,3,1],
[5,4,6,2,3,1]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[4,6,5,2,3,1],[6,5,4,2,3,1],
[5,4,6,2,3,1]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[4,6,5,2,3,1],[6,5,4,2,3,1],
[5,4,6,2,3,1]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[4,6,5,2,3,1],[6,5,4,2,3,1],
[5,4,6,2,3,1]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[4,6,5,2,3,1],[6,5,4,2,3,1],
[5,4,6,2,3,1]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,3,2,1],[4,5,6,2,1,3],[4,5,6,1,3,2],[4,6,5,2,3,1],[6,5,4,2,3,1],
[5,4,6,2,3,1]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]]),rec(
lperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]],
rperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]]),rec(
lperms:=[[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],[3,1,2,6,4,5],
[3,1,2,6,4,5]],
rperms:=[[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],[2,3,1,5,6,4],
[2,3,1,5,6,4]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]]),rec(
lperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]],
rperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]]),rec(
lperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]],
rperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]]),rec(
lperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]],
rperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]]),rec(
lperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]]),rec(
lperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]],
rperms:=[[5,6,4,1,2,3],[5,6,4,1,2,3],[5,6,4,1,2,3],[6,4,5,3,1,2],[6,4,5,3,1,2],
[6,4,5,3,1,2]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]]),rec(
lperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]],
rperms:=[[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],[5,6,4,3,1,2],
[5,6,4,3,1,2]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]]),rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],[4,5,6,2,3,1],
[4,5,6,2,3,1]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]]),rec(
lperms:=[[6,4,5,2,3,1],[6,4,5,2,3,1],[6,4,5,2,3,1],[4,5,6,1,2,3],[4,5,6,1,2,3],
[4,5,6,1,2,3]],
rperms:=[[4,5,6,1,2,3],[4,5,6,1,2,3],[4,5,6,1,2,3],[6,4,5,2,3,1],[6,4,5,2,3,1],
[6,4,5,2,3,1]])],[rec(
lperms:=[[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],[6,4,5,1,2,3],
[6,4,5,1,2,3]],
rperms:=[[5,6,4,2,3,1],[5,6,4,2,3,1],[5,6,4,2,3,1],[4,5,6,3,1,2],[4,5,6,3,1,2],
[4,5,6,3,1,2]]),rec(
lperms:=[[6,4,5,3,1,2],[6,4,5,3,1,2],[6,4,5,3,1,2],[5,6,4,1,2,3],[5,6,4,1,2,3],
[5,6,4,1,2,3]],
rperms:=[[4,5,6,3,1,2],[4,5,6,3,1,2],[4,5,6,3,1,2],[5,6,4,2,3,1],[5,6,4,2,3,1],
[5,6,4,2,3,1]])],[rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]])],[rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]])],[rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,6,5,2,1],[3,4,6,5,2,1],[3,4,5,6,1,2],[3,4,5,6,1,2],[4,3,5,6,2,1],
[4,3,5,6,2,1]]),rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]])],[rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]],
rperms:=[[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],[1,2,3,4,5,6],
[1,2,3,4,5,6]])],[rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]],
rperms:=[[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],[2,1,4,3,6,5],
[2,1,4,3,6,5]])],[rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]],
rperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]])],[rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]],
rperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]])],[rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],[5,6,2,1,4,3],
[5,6,2,1,4,3]],
rperms:=[[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],[4,3,6,5,1,2],
[4,3,6,5,1,2]])],[rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[4,3,6,5,2,1],[4,3,6,5,2,1],[3,4,6,5,1,2],[3,4,6,5,1,2],[4,3,5,6,1,2],
[4,3,5,6,1,2]]),rec(
lperms:=[[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],[6,5,1,2,3,4],
[6,5,1,2,3,4]],
rperms:=[[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],[3,4,5,6,2,1],
[3,4,5,6,2,1]])]]
;