Minimal constituents of Foulkes characters (m^n) for m + n < 20
---------------------------------------------------------------

If m is even then the unique minimal constituent is (m^n). If
m is odd, then by Theorem 1.2(ii) of the paper, chi^lambda is a 
minimal constituent if and only if there is a minimal set
family of type lambda. Such set families can be enumerated
by looking for closed families of the correct shape, and then
selecting the ones of minimal types; see SetFamilies.hs for
more details.

Each pair below is of the form (lambda, ms) where ms is a list
of the maximal elements (in the majorization order) in a set 
family of type lambda. 

m = 3
-----

n = 1
([3],[[1,2,3]])


n = 2
([4,2],[[1,2,4]])


n = 3
([5,2,2],[[1,2,5]])
([4,4,1],[[1,3,4]])


n = 4
([6,2,2,2],[[1,2,6]])
([5,4,2,1],[[1,2,5],[1,3,4]])
([4,4,4],[[2,3,4]])


n = 5
([7,2,2,2,2],[[1,2,7]])
([6,4,2,2,1],[[1,2,6],[1,3,4]])
([5,5,3,1,1],[[1,3,5]])
([5,4,4,2],[[1,2,5],[2,3,4]])


n = 6
([8,2,2,2,2,2],[[1,2,8]])
([7,4,2,2,2,1],[[1,2,7],[1,3,4]])
([6,5,3,2,1,1],[[1,2,6],[1,3,5]])
([6,4,4,2,2],[[1,2,6],[2,3,4]])
([5,5,5,1,1,1],[[1,4,5]])
([5,5,4,3,1],[[1,3,5],[2,3,4]])


n = 7
([9,2,2,2,2,2,2],[[1,2,9]])
([8,4,2,2,2,2,1],[[1,2,8],[1,3,4]])
([7,5,3,2,2,1,1],[[1,2,7],[1,3,5]])
([7,4,4,2,2,2],[[1,2,7],[2,3,4]])
([6,6,3,3,1,1,1],[[1,3,6]])
([6,5,5,2,1,1,1],[[1,2,6],[1,4,5]])
([6,5,4,3,2,1],[[1,2,6],[1,3,5],[2,3,4]])
([5,5,5,4,1,1],[[1,4,5],[2,3,4]])
([5,5,5,3,3],[[2,3,5]])


n = 8
([10,2,2,2,2,2,2,2],[[1,2,10]])
([9,4,2,2,2,2,2,1],[[1,2,9],[1,3,4]])
([8,5,3,2,2,2,1,1],[[1,2,8],[1,3,5]])
([8,4,4,2,2,2,2],[[1,2,8],[2,3,4]])
([7,6,3,3,2,1,1,1],[[1,2,7],[1,3,6]])
([7,5,5,2,2,1,1,1],[[1,2,7],[1,4,5]])
([7,5,4,3,2,2,1],[[1,2,7],[1,3,5],[2,3,4]])
([6,6,5,3,1,1,1,1],[[1,3,6],[1,4,5]])
([6,6,4,3,3,1,1],[[1,3,6],[2,3,4]])
([6,5,5,4,2,1,1],[[1,2,6],[1,4,5],[2,3,4]])
([6,5,5,3,3,2],[[1,2,6],[2,3,5]])
([5,5,5,5,3,1],[[1,4,5],[2,3,5]])


n = 9
([11,2,2,2,2,2,2,2,2],[[1,2,11]])
([10,4,2,2,2,2,2,2,1],[[1,2,10],[1,3,4]])
([9,5,3,2,2,2,2,1,1],[[1,2,9],[1,3,5]])
([9,4,4,2,2,2,2,2],[[1,2,9],[2,3,4]])
([8,6,3,3,2,2,1,1,1],[[1,2,8],[1,3,6]])
([8,5,5,2,2,2,1,1,1],[[1,2,8],[1,4,5]])
([8,5,4,3,2,2,2,1],[[1,2,8],[1,3,5],[2,3,4]])
([7,7,3,3,3,1,1,1,1],[[1,3,7]])
([7,6,5,3,2,1,1,1,1],[[1,2,7],[1,3,6],[1,4,5]])
([7,6,4,3,3,2,1,1],[[1,2,7],[1,3,6],[2,3,4]])
([7,5,5,4,2,2,1,1],[[1,2,7],[1,4,5],[2,3,4]])
([7,5,5,3,3,2,2],[[1,2,7],[2,3,5]])
([6,6,6,4,1,1,1,1,1],[[1,4,6]])
([6,6,5,4,3,1,1,1],[[1,3,6],[1,4,5],[2,3,4]])
([6,6,5,3,3,3,1],[[1,3,6],[2,3,5]])
([6,5,5,5,3,2,1],[[1,2,6],[1,4,5],[2,3,5]])
([5,5,5,5,5,2],[[2,4,5]])


n = 10
([12,2,2,2,2,2,2,2,2,2],[[1,2,12]])
([11,4,2,2,2,2,2,2,2,1],[[1,2,11],[1,3,4]])
([10,5,3,2,2,2,2,2,1,1],[[1,2,10],[1,3,5]])
([10,4,4,2,2,2,2,2,2],[[1,2,10],[2,3,4]])
([9,6,3,3,2,2,2,1,1,1],[[1,2,9],[1,3,6]])
([9,5,5,2,2,2,2,1,1,1],[[1,2,9],[1,4,5]])
([9,5,4,3,2,2,2,2,1],[[1,2,9],[1,3,5],[2,3,4]])
([8,7,3,3,3,2,1,1,1,1],[[1,2,8],[1,3,7]])
([8,6,5,3,2,2,1,1,1,1],[[1,2,8],[1,3,6],[1,4,5]])
([8,6,4,3,3,2,2,1,1],[[1,2,8],[1,3,6],[2,3,4]])
([8,5,5,4,2,2,2,1,1],[[1,2,8],[1,4,5],[2,3,4]])
([8,5,5,3,3,2,2,2],[[1,2,8],[2,3,5]])
([7,7,5,3,3,1,1,1,1,1],[[1,3,7],[1,4,5]])
([7,7,4,3,3,3,1,1,1],[[1,3,7],[2,3,4]])
([7,6,6,4,2,1,1,1,1,1],[[1,2,7],[1,4,6]])
([7,6,5,4,3,2,1,1,1],[[1,2,7],[1,3,6],[1,4,5],[2,3,4]])
([7,6,5,3,3,3,2,1],[[1,2,7],[1,3,6],[2,3,5]])
([7,5,5,5,3,2,2,1],[[1,2,7],[1,4,5],[2,3,5]])
([6,6,6,6,1,1,1,1,1,1],[[1,5,6]])
([6,6,6,4,4,1,1,1,1],[[1,4,6],[2,3,4]])
([6,6,6,3,3,3,3],[[2,3,6]])
([6,6,5,5,3,3,1,1],[[1,3,6],[1,4,5],[2,3,5]])
([6,5,5,5,5,2,2],[[1,2,6],[2,4,5]])
([5,5,5,5,5,5],[[3,4,5]])


n = 11
([13,2,2,2,2,2,2,2,2,2,2],[[1,2,13]])
([12,4,2,2,2,2,2,2,2,2,1],[[1,2,12],[1,3,4]])
([11,5,3,2,2,2,2,2,2,1,1],[[1,2,11],[1,3,5]])
([11,4,4,2,2,2,2,2,2,2],[[1,2,11],[2,3,4]])
([10,6,3,3,2,2,2,2,1,1,1],[[1,2,10],[1,3,6]])
([10,5,5,2,2,2,2,2,1,1,1],[[1,2,10],[1,4,5]])
([10,5,4,3,2,2,2,2,2,1],[[1,2,10],[1,3,5],[2,3,4]])
([9,7,3,3,3,2,2,1,1,1,1],[[1,2,9],[1,3,7]])
([9,6,5,3,2,2,2,1,1,1,1],[[1,2,9],[1,3,6],[1,4,5]])
([9,6,4,3,3,2,2,2,1,1],[[1,2,9],[1,3,6],[2,3,4]])
([9,5,5,4,2,2,2,2,1,1],[[1,2,9],[1,4,5],[2,3,4]])
([9,5,5,3,3,2,2,2,2],[[1,2,9],[2,3,5]])
([8,8,3,3,3,3,1,1,1,1,1],[[1,3,8]])
([8,7,5,3,3,2,1,1,1,1,1],[[1,2,8],[1,3,7],[1,4,5]])
([8,7,4,3,3,3,2,1,1,1],[[1,2,8],[1,3,7],[2,3,4]])
([8,6,6,4,2,2,1,1,1,1,1],[[1,2,8],[1,4,6]])
([8,6,5,4,3,2,2,1,1,1],[[1,2,8],[1,3,6],[1,4,5],[2,3,4]])
([8,6,5,3,3,3,2,2,1],[[1,2,8],[1,3,6],[2,3,5]])
([8,5,5,5,3,2,2,2,1],[[1,2,8],[1,4,5],[2,3,5]])
([7,7,6,4,3,1,1,1,1,1,1],[[1,3,7],[1,4,6]])
([7,7,5,4,3,3,1,1,1,1],[[1,3,7],[1,4,5],[2,3,4]])
([7,7,5,3,3,3,3,1,1],[[1,3,7],[2,3,5]])
([7,6,6,6,2,1,1,1,1,1,1],[[1,2,7],[1,5,6]])
([7,6,6,4,4,2,1,1,1,1],[[1,2,7],[1,4,6],[2,3,4]])
([7,6,6,3,3,3,3,2],[[1,2,7],[2,3,6]])
([7,6,5,5,3,3,2,1,1],[[1,2,7],[1,3,6],[1,4,5],[2,3,5]])
([7,5,5,5,5,2,2,2],[[1,2,7],[2,4,5]])
([6,6,6,6,4,1,1,1,1,1],[[1,5,6],[2,3,4]])
([6,6,6,5,4,3,1,1,1],[[1,4,6],[2,3,5]])
([6,6,6,5,3,3,3,1],[[1,4,5],[2,3,6]])
([6,6,5,5,5,3,2,1],[[1,3,6],[2,4,5]])
([6,5,5,5,5,5,2],[[1,2,6],[3,4,5]])


n = 12
([14,2,2,2,2,2,2,2,2,2,2,2],[[1,2,14]])
([13,4,2,2,2,2,2,2,2,2,2,1],[[1,2,13],[1,3,4]])
([12,5,3,2,2,2,2,2,2,2,1,1],[[1,2,12],[1,3,5]])
([12,4,4,2,2,2,2,2,2,2,2],[[1,2,12],[2,3,4]])
([11,6,3,3,2,2,2,2,2,1,1,1],[[1,2,11],[1,3,6]])
([11,5,5,2,2,2,2,2,2,1,1,1],[[1,2,11],[1,4,5]])
([11,5,4,3,2,2,2,2,2,2,1],[[1,2,11],[1,3,5],[2,3,4]])
([10,7,3,3,3,2,2,2,1,1,1,1],[[1,2,10],[1,3,7]])
([10,6,5,3,2,2,2,2,1,1,1,1],[[1,2,10],[1,3,6],[1,4,5]])
([10,6,4,3,3,2,2,2,2,1,1],[[1,2,10],[1,3,6],[2,3,4]])
([10,5,5,4,2,2,2,2,2,1,1],[[1,2,10],[1,4,5],[2,3,4]])
([10,5,5,3,3,2,2,2,2,2],[[1,2,10],[2,3,5]])
([9,8,3,3,3,3,2,1,1,1,1,1],[[1,2,9],[1,3,8]])
([9,7,5,3,3,2,2,1,1,1,1,1],[[1,2,9],[1,3,7],[1,4,5]])
([9,7,4,3,3,3,2,2,1,1,1],[[1,2,9],[1,3,7],[2,3,4]])
([9,6,6,4,2,2,2,1,1,1,1,1],[[1,2,9],[1,4,6]])
([9,6,5,4,3,2,2,2,1,1,1],[[1,2,9],[1,3,6],[1,4,5],[2,3,4]])
([9,6,5,3,3,3,2,2,2,1],[[1,2,9],[1,3,6],[2,3,5]])
([9,5,5,5,3,2,2,2,2,1],[[1,2,9],[1,4,5],[2,3,5]])
([8,8,5,3,3,3,1,1,1,1,1,1],[[1,3,8],[1,4,5]])
([8,8,4,3,3,3,3,1,1,1,1],[[1,3,8],[2,3,4]])
([8,7,6,4,3,2,1,1,1,1,1,1],[[1,2,8],[1,3,7],[1,4,6]])
([8,7,5,4,3,3,2,1,1,1,1],[[1,2,8],[1,3,7],[1,4,5],[2,3,4]])
([8,7,5,3,3,3,3,2,1,1],[[1,2,8],[1,3,7],[2,3,5]])
([8,6,6,6,2,2,1,1,1,1,1,1],[[1,2,8],[1,5,6]])
([8,6,6,4,4,2,2,1,1,1,1],[[1,2,8],[1,4,6],[2,3,4]])
([8,6,6,3,3,3,3,2,2],[[1,2,8],[2,3,6]])
([8,6,5,5,3,3,2,2,1,1],[[1,2,8],[1,3,6],[1,4,5],[2,3,5]])
([8,5,5,5,5,2,2,2,2],[[1,2,8],[2,4,5]])
([7,7,7,4,4,1,1,1,1,1,1,1],[[1,4,7]])
([7,7,6,6,3,1,1,1,1,1,1,1],[[1,3,7],[1,5,6]])
([7,7,6,4,4,3,1,1,1,1,1],[[1,3,7],[1,4,6],[2,3,4]])
([7,7,6,3,3,3,3,3,1],[[1,3,7],[2,3,6]])
([7,7,5,5,3,3,3,1,1,1],[[1,3,7],[1,4,5],[2,3,5]])
([7,6,6,6,4,2,1,1,1,1,1],[[1,2,7],[1,5,6],[2,3,4]])
([7,6,6,5,4,3,2,1,1,1],[[1,2,7],[1,4,6],[2,3,5]])
([7,6,6,5,3,3,3,2,1],[[1,2,7],[1,4,5],[2,3,6]])
([7,6,5,5,5,3,2,2,1],[[1,2,7],[1,3,6],[2,4,5]])
([7,5,5,5,5,5,2,2],[[1,2,7],[3,4,5]])
([6,6,6,6,5,3,1,1,1,1],[[1,5,6],[2,3,5]])
([6,6,6,6,4,3,3,1,1],[[1,4,6],[2,3,6]])
([6,6,6,5,5,4,2,1,1],[[1,4,6],[2,4,5]])
([6,6,6,5,5,3,3,2],[[2,3,6],[2,4,5]])
([6,6,5,5,5,5,3,1],[[1,3,6],[3,4,5]])


n = 13
([15,2,2,2,2,2,2,2,2,2,2,2,2],[[1,2,15]])
([14,4,2,2,2,2,2,2,2,2,2,2,1],[[1,2,14],[1,3,4]])
([13,5,3,2,2,2,2,2,2,2,2,1,1],[[1,2,13],[1,3,5]])
([13,4,4,2,2,2,2,2,2,2,2,2],[[1,2,13],[2,3,4]])
([12,6,3,3,2,2,2,2,2,2,1,1,1],[[1,2,12],[1,3,6]])
([12,5,5,2,2,2,2,2,2,2,1,1,1],[[1,2,12],[1,4,5]])
([12,5,4,3,2,2,2,2,2,2,2,1],[[1,2,12],[1,3,5],[2,3,4]])
([11,7,3,3,3,2,2,2,2,1,1,1,1],[[1,2,11],[1,3,7]])
([11,6,5,3,2,2,2,2,2,1,1,1,1],[[1,2,11],[1,3,6],[1,4,5]])
([11,6,4,3,3,2,2,2,2,2,1,1],[[1,2,11],[1,3,6],[2,3,4]])
([11,5,5,4,2,2,2,2,2,2,1,1],[[1,2,11],[1,4,5],[2,3,4]])
([11,5,5,3,3,2,2,2,2,2,2],[[1,2,11],[2,3,5]])
([10,8,3,3,3,3,2,2,1,1,1,1,1],[[1,2,10],[1,3,8]])
([10,7,5,3,3,2,2,2,1,1,1,1,1],[[1,2,10],[1,3,7],[1,4,5]])
([10,7,4,3,3,3,2,2,2,1,1,1],[[1,2,10],[1,3,7],[2,3,4]])
([10,6,6,4,2,2,2,2,1,1,1,1,1],[[1,2,10],[1,4,6]])
([10,6,5,4,3,2,2,2,2,1,1,1],[[1,2,10],[1,3,6],[1,4,5],[2,3,4]])
([10,6,5,3,3,3,2,2,2,2,1],[[1,2,10],[1,3,6],[2,3,5]])
([10,5,5,5,3,2,2,2,2,2,1],[[1,2,10],[1,4,5],[2,3,5]])
([9,9,3,3,3,3,3,1,1,1,1,1,1],[[1,3,9]])
([9,8,5,3,3,3,2,1,1,1,1,1,1],[[1,2,9],[1,3,8],[1,4,5]])
([9,8,4,3,3,3,3,2,1,1,1,1],[[1,2,9],[1,3,8],[2,3,4]])
([9,7,6,4,3,2,2,1,1,1,1,1,1],[[1,2,9],[1,3,7],[1,4,6]])
([9,7,5,4,3,3,2,2,1,1,1,1],[[1,2,9],[1,3,7],[1,4,5],[2,3,4]])
([9,7,5,3,3,3,3,2,2,1,1],[[1,2,9],[1,3,7],[2,3,5]])
([9,6,6,6,2,2,2,1,1,1,1,1,1],[[1,2,9],[1,5,6]])
([9,6,6,4,4,2,2,2,1,1,1,1],[[1,2,9],[1,4,6],[2,3,4]])
([9,6,6,3,3,3,3,2,2,2],[[1,2,9],[2,3,6]])
([9,6,5,5,3,3,2,2,2,1,1],[[1,2,9],[1,3,6],[1,4,5],[2,3,5]])
([9,5,5,5,5,2,2,2,2,2],[[1,2,9],[2,4,5]])
([8,8,6,4,3,3,1,1,1,1,1,1,1],[[1,3,8],[1,4,6]])
([8,8,5,4,3,3,3,1,1,1,1,1],[[1,3,8],[1,4,5],[2,3,4]])
([8,8,5,3,3,3,3,3,1,1,1],[[1,3,8],[2,3,5]])
([8,7,7,4,4,2,1,1,1,1,1,1,1],[[1,2,8],[1,4,7]])
([8,7,6,6,3,2,1,1,1,1,1,1,1],[[1,2,8],[1,3,7],[1,5,6]])
([8,7,6,4,4,3,2,1,1,1,1,1],[[1,2,8],[1,3,7],[1,4,6],[2,3,4]])
([8,7,6,3,3,3,3,3,2,1],[[1,2,8],[1,3,7],[2,3,6]])
([8,7,5,5,3,3,3,2,1,1,1],[[1,2,8],[1,3,7],[1,4,5],[2,3,5]])
([8,6,6,6,4,2,2,1,1,1,1,1],[[1,2,8],[1,5,6],[2,3,4]])
([8,6,6,5,4,3,2,2,1,1,1],[[1,2,8],[1,4,6],[2,3,5]])
([8,6,6,5,3,3,3,2,2,1],[[1,2,8],[1,4,5],[2,3,6]])
([8,6,5,5,5,3,2,2,2,1],[[1,2,8],[1,3,6],[2,4,5]])
([8,5,5,5,5,5,2,2,2],[[1,2,8],[3,4,5]])
([7,7,7,6,4,1,1,1,1,1,1,1,1],[[1,4,7],[1,5,6]])
([7,7,7,4,4,4,1,1,1,1,1,1],[[1,4,7],[2,3,4]])
([7,7,7,3,3,3,3,3,3],[[2,3,7]])
([7,7,6,6,4,3,1,1,1,1,1,1],[[1,3,7],[1,5,6],[2,3,4]])
([7,7,6,5,4,3,3,1,1,1,1],[[1,3,7],[1,4,6],[2,3,5]])
([7,7,6,5,3,3,3,3,1,1],[[1,3,7],[1,4,5],[2,3,6]])
([7,7,5,5,5,3,3,2,1,1],[[1,3,7],[2,4,5]])
([7,6,6,6,5,3,2,1,1,1,1],[[1,2,7],[1,5,6],[2,3,5]])
([7,6,6,6,4,3,3,2,1,1],[[1,2,7],[1,4,6],[2,3,6]])
([7,6,6,5,5,4,2,2,1,1],[[1,2,7],[1,4,6],[2,4,5]])
([7,6,6,5,5,3,3,2,2],[[1,2,7],[2,3,6],[2,4,5]])
([7,6,5,5,5,5,3,2,1],[[1,2,7],[1,3,6],[3,4,5]])
([6,6,6,6,6,3,3,1,1,1],[[1,5,6],[2,3,6]])
([6,6,6,6,5,5,2,1,1,1],[[1,5,6],[2,4,5]])
([6,6,6,6,5,4,3,2,1],[[1,4,6],[2,3,6],[2,4,5]])
([6,6,6,5,5,5,4,1,1],[[1,4,6],[3,4,5]])
([6,6,6,5,5,5,3,3],[[2,3,6],[3,4,5]])


n = 14
([16,2,2,2,2,2,2,2,2,2,2,2,2,2],[[1,2,16]])
([15,4,2,2,2,2,2,2,2,2,2,2,2,1],[[1,2,15],[1,3,4]])
([14,5,3,2,2,2,2,2,2,2,2,2,1,1],[[1,2,14],[1,3,5]])
([14,4,4,2,2,2,2,2,2,2,2,2,2],[[1,2,14],[2,3,4]])
([13,6,3,3,2,2,2,2,2,2,2,1,1,1],[[1,2,13],[1,3,6]])
([13,5,5,2,2,2,2,2,2,2,2,1,1,1],[[1,2,13],[1,4,5]])
([13,5,4,3,2,2,2,2,2,2,2,2,1],[[1,2,13],[1,3,5],[2,3,4]])
([12,7,3,3,3,2,2,2,2,2,1,1,1,1],[[1,2,12],[1,3,7]])
([12,6,5,3,2,2,2,2,2,2,1,1,1,1],[[1,2,12],[1,3,6],[1,4,5]])
([12,6,4,3,3,2,2,2,2,2,2,1,1],[[1,2,12],[1,3,6],[2,3,4]])
([12,5,5,4,2,2,2,2,2,2,2,1,1],[[1,2,12],[1,4,5],[2,3,4]])
([12,5,5,3,3,2,2,2,2,2,2,2],[[1,2,12],[2,3,5]])
([11,8,3,3,3,3,2,2,2,1,1,1,1,1],[[1,2,11],[1,3,8]])
([11,7,5,3,3,2,2,2,2,1,1,1,1,1],[[1,2,11],[1,3,7],[1,4,5]])
([11,7,4,3,3,3,2,2,2,2,1,1,1],[[1,2,11],[1,3,7],[2,3,4]])
([11,6,6,4,2,2,2,2,2,1,1,1,1,1],[[1,2,11],[1,4,6]])
([11,6,5,4,3,2,2,2,2,2,1,1,1],[[1,2,11],[1,3,6],[1,4,5],[2,3,4]])
([11,6,5,3,3,3,2,2,2,2,2,1],[[1,2,11],[1,3,6],[2,3,5]])
([11,5,5,5,3,2,2,2,2,2,2,1],[[1,2,11],[1,4,5],[2,3,5]])
([10,9,3,3,3,3,3,2,1,1,1,1,1,1],[[1,2,10],[1,3,9]])
([10,8,5,3,3,3,2,2,1,1,1,1,1,1],[[1,2,10],[1,3,8],[1,4,5]])
([10,8,4,3,3,3,3,2,2,1,1,1,1],[[1,2,10],[1,3,8],[2,3,4]])
([10,7,6,4,3,2,2,2,1,1,1,1,1,1],[[1,2,10],[1,3,7],[1,4,6]])
([10,7,5,4,3,3,2,2,2,1,1,1,1],[[1,2,10],[1,3,7],[1,4,5],[2,3,4]])
([10,7,5,3,3,3,3,2,2,2,1,1],[[1,2,10],[1,3,7],[2,3,5]])
([10,6,6,6,2,2,2,2,1,1,1,1,1,1],[[1,2,10],[1,5,6]])
([10,6,6,4,4,2,2,2,2,1,1,1,1],[[1,2,10],[1,4,6],[2,3,4]])
([10,6,6,3,3,3,3,2,2,2,2],[[1,2,10],[2,3,6]])
([10,6,5,5,3,3,2,2,2,2,1,1],[[1,2,10],[1,3,6],[1,4,5],[2,3,5]])
([10,5,5,5,5,2,2,2,2,2,2],[[1,2,10],[2,4,5]])
([9,9,5,3,3,3,3,1,1,1,1,1,1,1],[[1,3,9],[1,4,5]])
([9,9,4,3,3,3,3,3,1,1,1,1,1],[[1,3,9],[2,3,4]])
([9,8,6,4,3,3,2,1,1,1,1,1,1,1],[[1,2,9],[1,3,8],[1,4,6]])
([9,8,5,4,3,3,3,2,1,1,1,1,1],[[1,2,9],[1,3,8],[1,4,5],[2,3,4]])
([9,8,5,3,3,3,3,3,2,1,1,1],[[1,2,9],[1,3,8],[2,3,5]])
([9,7,7,4,4,2,2,1,1,1,1,1,1,1],[[1,2,9],[1,4,7]])
([9,7,6,6,3,2,2,1,1,1,1,1,1,1],[[1,2,9],[1,3,7],[1,5,6]])
([9,7,6,4,4,3,2,2,1,1,1,1,1],[[1,2,9],[1,3,7],[1,4,6],[2,3,4]])
([9,7,6,3,3,3,3,3,2,2,1],[[1,2,9],[1,3,7],[2,3,6]])
([9,7,5,5,3,3,3,2,2,1,1,1],[[1,2,9],[1,3,7],[1,4,5],[2,3,5]])
([9,6,6,6,4,2,2,2,1,1,1,1,1],[[1,2,9],[1,5,6],[2,3,4]])
([9,6,6,5,4,3,2,2,2,1,1,1],[[1,2,9],[1,4,6],[2,3,5]])
([9,6,6,5,3,3,3,2,2,2,1],[[1,2,9],[1,4,5],[2,3,6]])
([9,6,5,5,5,3,2,2,2,2,1],[[1,2,9],[1,3,6],[2,4,5]])
([9,5,5,5,5,5,2,2,2,2],[[1,2,9],[3,4,5]])
([8,8,7,4,4,3,1,1,1,1,1,1,1,1],[[1,3,8],[1,4,7]])
([8,8,6,6,3,3,1,1,1,1,1,1,1,1],[[1,3,8],[1,5,6]])
([8,8,6,4,4,3,3,1,1,1,1,1,1],[[1,3,8],[1,4,6],[2,3,4]])
([8,8,6,3,3,3,3,3,3,1,1],[[1,3,8],[2,3,6]])
([8,8,5,5,3,3,3,3,1,1,1,1],[[1,3,8],[1,4,5],[2,3,5]])
([8,7,7,6,4,2,1,1,1,1,1,1,1,1],[[1,2,8],[1,4,7],[1,5,6]])
([8,7,7,4,4,4,2,1,1,1,1,1,1],[[1,2,8],[1,4,7],[2,3,4]])
([8,7,7,3,3,3,3,3,3,2],[[1,2,8],[2,3,7]])
([8,7,6,6,4,3,2,1,1,1,1,1,1],[[1,2,8],[1,3,7],[1,5,6],[2,3,4]])
([8,7,6,5,4,3,3,2,1,1,1,1],[[1,2,8],[1,3,7],[1,4,6],[2,3,5]])
([8,7,6,5,3,3,3,3,2,1,1],[[1,2,8],[1,3,7],[1,4,5],[2,3,6]])
([8,7,5,5,5,3,3,2,2,1,1],[[1,2,8],[1,3,7],[2,4,5]])
([8,6,6,6,5,3,2,2,1,1,1,1],[[1,2,8],[1,5,6],[2,3,5]])
([8,6,6,6,4,3,3,2,2,1,1],[[1,2,8],[1,4,6],[2,3,6]])
([8,6,6,5,5,4,2,2,2,1,1],[[1,2,8],[1,4,6],[2,4,5]])
([8,6,6,5,5,3,3,2,2,2],[[1,2,8],[2,3,6],[2,4,5]])
([8,6,5,5,5,5,3,2,2,1],[[1,2,8],[1,3,6],[3,4,5]])
([7,7,7,7,5,1,1,1,1,1,1,1,1,1],[[1,5,7]])
([7,7,7,6,4,4,1,1,1,1,1,1,1],[[1,4,7],[1,5,6],[2,3,4]])
([7,7,7,5,4,4,3,1,1,1,1,1],[[1,4,7],[2,3,5]])
([7,7,7,5,3,3,3,3,3,1],[[1,4,5],[2,3,7]])
([7,7,6,6,5,3,3,1,1,1,1,1],[[1,3,7],[1,5,6],[2,3,5]])
([7,7,6,6,4,3,3,3,1,1,1],[[1,3,7],[1,4,6],[2,3,6]])
([7,7,6,5,5,4,3,2,1,1,1],[[1,3,7],[1,4,6],[2,4,5]])
([7,7,6,5,5,3,3,3,2,1],[[1,3,7],[2,3,6],[2,4,5]])
([7,7,5,5,5,5,3,3,1,1],[[1,3,7],[3,4,5]])
([7,6,6,6,6,3,3,2,1,1,1],[[1,2,7],[1,5,6],[2,3,6]])
([7,6,6,6,5,5,2,2,1,1,1],[[1,2,7],[1,5,6],[2,4,5]])
([7,6,6,6,5,4,3,2,2,1],[[1,2,7],[1,4,6],[2,3,6],[2,4,5]])
([7,6,6,5,5,5,4,2,1,1],[[1,2,7],[1,4,6],[3,4,5]])
([7,6,6,5,5,5,3,3,2],[[1,2,7],[2,3,6],[3,4,5]])
([6,6,6,6,6,5,3,2,1,1],[[1,5,6],[2,3,6],[2,4,5]])
([6,6,6,6,6,4,4,2,2],[[2,4,6]])
([6,6,6,6,5,5,5,1,1,1],[[1,5,6],[3,4,5]])
([6,6,6,6,5,5,4,3,1],[[1,4,6],[2,3,6],[3,4,5]])


n = 15
([17,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[[1,2,17]])
([16,4,2,2,2,2,2,2,2,2,2,2,2,2,1],[[1,2,16],[1,3,4]])
([15,5,3,2,2,2,2,2,2,2,2,2,2,1,1],[[1,2,15],[1,3,5]])
([15,4,4,2,2,2,2,2,2,2,2,2,2,2],[[1,2,15],[2,3,4]])
([14,6,3,3,2,2,2,2,2,2,2,2,1,1,1],[[1,2,14],[1,3,6]])
([14,5,5,2,2,2,2,2,2,2,2,2,1,1,1],[[1,2,14],[1,4,5]])
([14,5,4,3,2,2,2,2,2,2,2,2,2,1],[[1,2,14],[1,3,5],[2,3,4]])
([13,7,3,3,3,2,2,2,2,2,2,1,1,1,1],[[1,2,13],[1,3,7]])
([13,6,5,3,2,2,2,2,2,2,2,1,1,1,1],[[1,2,13],[1,3,6],[1,4,5]])
([13,6,4,3,3,2,2,2,2,2,2,2,1,1],[[1,2,13],[1,3,6],[2,3,4]])
([13,5,5,4,2,2,2,2,2,2,2,2,1,1],[[1,2,13],[1,4,5],[2,3,4]])
([13,5,5,3,3,2,2,2,2,2,2,2,2],[[1,2,13],[2,3,5]])
([12,8,3,3,3,3,2,2,2,2,1,1,1,1,1],[[1,2,12],[1,3,8]])
([12,7,5,3,3,2,2,2,2,2,1,1,1,1,1],[[1,2,12],[1,3,7],[1,4,5]])
([12,7,4,3,3,3,2,2,2,2,2,1,1,1],[[1,2,12],[1,3,7],[2,3,4]])
([12,6,6,4,2,2,2,2,2,2,1,1,1,1,1],[[1,2,12],[1,4,6]])
([12,6,5,4,3,2,2,2,2,2,2,1,1,1],[[1,2,12],[1,3,6],[1,4,5],[2,3,4]])
([12,6,5,3,3,3,2,2,2,2,2,2,1],[[1,2,12],[1,3,6],[2,3,5]])
([12,5,5,5,3,2,2,2,2,2,2,2,1],[[1,2,12],[1,4,5],[2,3,5]])
([11,9,3,3,3,3,3,2,2,1,1,1,1,1,1],[[1,2,11],[1,3,9]])
([11,8,5,3,3,3,2,2,2,1,1,1,1,1,1],[[1,2,11],[1,3,8],[1,4,5]])
([11,8,4,3,3,3,3,2,2,2,1,1,1,1],[[1,2,11],[1,3,8],[2,3,4]])
([11,7,6,4,3,2,2,2,2,1,1,1,1,1,1],[[1,2,11],[1,3,7],[1,4,6]])
([11,7,5,4,3,3,2,2,2,2,1,1,1,1],[[1,2,11],[1,3,7],[1,4,5],[2,3,4]])
([11,7,5,3,3,3,3,2,2,2,2,1,1],[[1,2,11],[1,3,7],[2,3,5]])
([11,6,6,6,2,2,2,2,2,1,1,1,1,1,1],[[1,2,11],[1,5,6]])
([11,6,6,4,4,2,2,2,2,2,1,1,1,1],[[1,2,11],[1,4,6],[2,3,4]])
([11,6,6,3,3,3,3,2,2,2,2,2],[[1,2,11],[2,3,6]])
([11,6,5,5,3,3,2,2,2,2,2,1,1],[[1,2,11],[1,3,6],[1,4,5],[2,3,5]])
([11,5,5,5,5,2,2,2,2,2,2,2],[[1,2,11],[2,4,5]])
([10,10,3,3,3,3,3,3,1,1,1,1,1,1,1],[[1,3,10]])
([10,9,5,3,3,3,3,2,1,1,1,1,1,1,1],[[1,2,10],[1,3,9],[1,4,5]])
([10,9,4,3,3,3,3,3,2,1,1,1,1,1],[[1,2,10],[1,3,9],[2,3,4]])
([10,8,6,4,3,3,2,2,1,1,1,1,1,1,1],[[1,2,10],[1,3,8],[1,4,6]])
([10,8,5,4,3,3,3,2,2,1,1,1,1,1],[[1,2,10],[1,3,8],[1,4,5],[2,3,4]])
([10,8,5,3,3,3,3,3,2,2,1,1,1],[[1,2,10],[1,3,8],[2,3,5]])
([10,7,7,4,4,2,2,2,1,1,1,1,1,1,1],[[1,2,10],[1,4,7]])
([10,7,6,6,3,2,2,2,1,1,1,1,1,1,1],[[1,2,10],[1,3,7],[1,5,6]])
([10,7,6,4,4,3,2,2,2,1,1,1,1,1],[[1,2,10],[1,3,7],[1,4,6],[2,3,4]])
([10,7,6,3,3,3,3,3,2,2,2,1],[[1,2,10],[1,3,7],[2,3,6]])
([10,7,5,5,3,3,3,2,2,2,1,1,1],[[1,2,10],[1,3,7],[1,4,5],[2,3,5]])
([10,6,6,6,4,2,2,2,2,1,1,1,1,1],[[1,2,10],[1,5,6],[2,3,4]])
([10,6,6,5,4,3,2,2,2,2,1,1,1],[[1,2,10],[1,4,6],[2,3,5]])
([10,6,6,5,3,3,3,2,2,2,2,1],[[1,2,10],[1,4,5],[2,3,6]])
([10,6,5,5,5,3,2,2,2,2,2,1],[[1,2,10],[1,3,6],[2,4,5]])
([10,5,5,5,5,5,2,2,2,2,2],[[1,2,10],[3,4,5]])
([9,9,6,4,3,3,3,1,1,1,1,1,1,1,1],[[1,3,9],[1,4,6]])
([9,9,5,4,3,3,3,3,1,1,1,1,1,1],[[1,3,9],[1,4,5],[2,3,4]])
([9,9,5,3,3,3,3,3,3,1,1,1,1],[[1,3,9],[2,3,5]])
([9,8,7,4,4,3,2,1,1,1,1,1,1,1,1],[[1,2,9],[1,3,8],[1,4,7]])
([9,8,6,6,3,3,2,1,1,1,1,1,1,1,1],[[1,2,9],[1,3,8],[1,5,6]])
([9,8,6,4,4,3,3,2,1,1,1,1,1,1],[[1,2,9],[1,3,8],[1,4,6],[2,3,4]])
([9,8,6,3,3,3,3,3,3,2,1,1],[[1,2,9],[1,3,8],[2,3,6]])
([9,8,5,5,3,3,3,3,2,1,1,1,1],[[1,2,9],[1,3,8],[1,4,5],[2,3,5]])
([9,7,7,6,4,2,2,1,1,1,1,1,1,1,1],[[1,2,9],[1,4,7],[1,5,6]])
([9,7,7,4,4,4,2,2,1,1,1,1,1,1],[[1,2,9],[1,4,7],[2,3,4]])
([9,7,7,3,3,3,3,3,3,2,2],[[1,2,9],[2,3,7]])
([9,7,6,6,4,3,2,2,1,1,1,1,1,1],[[1,2,9],[1,3,7],[1,5,6],[2,3,4]])
([9,7,6,5,4,3,3,2,2,1,1,1,1],[[1,2,9],[1,3,7],[1,4,6],[2,3,5]])
([9,7,6,5,3,3,3,3,2,2,1,1],[[1,2,9],[1,3,7],[1,4,5],[2,3,6]])
([9,7,5,5,5,3,3,2,2,2,1,1],[[1,2,9],[1,3,7],[2,4,5]])
([9,6,6,6,5,3,2,2,2,1,1,1,1],[[1,2,9],[1,5,6],[2,3,5]])
([9,6,6,6,4,3,3,2,2,2,1,1],[[1,2,9],[1,4,6],[2,3,6]])
([9,6,6,5,5,4,2,2,2,2,1,1],[[1,2,9],[1,4,6],[2,4,5]])
([9,6,6,5,5,3,3,2,2,2,2],[[1,2,9],[2,3,6],[2,4,5]])
([9,6,5,5,5,5,3,2,2,2,1],[[1,2,9],[1,3,6],[3,4,5]])
([8,8,8,4,4,4,1,1,1,1,1,1,1,1,1],[[1,4,8]])
([8,8,7,6,4,3,1,1,1,1,1,1,1,1,1],[[1,3,8],[1,4,7],[1,5,6]])
([8,8,7,4,4,4,3,1,1,1,1,1,1,1],[[1,3,8],[1,4,7],[2,3,4]])
([8,8,7,3,3,3,3,3,3,3,1],[[1,3,8],[2,3,7]])
([8,8,6,6,4,3,3,1,1,1,1,1,1,1],[[1,3,8],[1,5,6],[2,3,4]])
([8,8,6,5,4,3,3,3,1,1,1,1,1],[[1,3,8],[1,4,6],[2,3,5]])
([8,8,6,5,3,3,3,3,3,1,1,1],[[1,3,8],[1,4,5],[2,3,6]])
([8,8,5,5,5,3,3,3,2,1,1,1],[[1,3,8],[2,4,5]])
([8,7,7,7,5,2,1,1,1,1,1,1,1,1,1],[[1,2,8],[1,5,7]])
([8,7,7,6,4,4,2,1,1,1,1,1,1,1],[[1,2,8],[1,4,7],[1,5,6],[2,3,4]])
([8,7,7,5,4,4,3,2,1,1,1,1,1],[[1,2,8],[1,4,7],[2,3,5]])
([8,7,7,5,3,3,3,3,3,2,1],[[1,2,8],[1,4,5],[2,3,7]])
([8,7,6,6,5,3,3,2,1,1,1,1,1],[[1,2,8],[1,3,7],[1,5,6],[2,3,5]])
([8,7,6,6,4,3,3,3,2,1,1,1],[[1,2,8],[1,3,7],[1,4,6],[2,3,6]])
([8,7,6,5,5,4,3,2,2,1,1,1],[[1,2,8],[1,3,7],[1,4,6],[2,4,5]])
([8,7,6,5,5,3,3,3,2,2,1],[[1,2,8],[1,3,7],[2,3,6],[2,4,5]])
([8,7,5,5,5,5,3,3,2,1,1],[[1,2,8],[1,3,7],[3,4,5]])
([8,6,6,6,6,3,3,2,2,1,1,1],[[1,2,8],[1,5,6],[2,3,6]])
([8,6,6,6,5,5,2,2,2,1,1,1],[[1,2,8],[1,5,6],[2,4,5]])
([8,6,6,6,5,4,3,2,2,2,1],[[1,2,8],[1,4,6],[2,3,6],[2,4,5]])
([8,6,6,5,5,5,4,2,2,1,1],[[1,2,8],[1,4,6],[3,4,5]])
([8,6,6,5,5,5,3,3,2,2],[[1,2,8],[2,3,6],[3,4,5]])
([7,7,7,7,7,1,1,1,1,1,1,1,1,1,1],[[1,6,7]])
([7,7,7,7,5,4,1,1,1,1,1,1,1,1],[[1,5,7],[2,3,4]])
([7,7,7,6,5,4,3,1,1,1,1,1,1],[[1,4,7],[1,5,6],[2,3,5]])
([7,7,7,6,4,4,3,3,1,1,1,1],[[1,4,7],[2,3,6]])
([7,7,7,6,4,3,3,3,3,1,1],[[1,4,6],[2,3,7]])
([7,7,7,5,5,4,4,2,1,1,1,1],[[1,4,7],[2,4,5]])
([7,7,7,5,5,3,3,3,3,2],[[2,3,7],[2,4,5]])
([7,7,6,6,6,3,3,3,1,1,1,1],[[1,3,7],[1,5,6],[2,3,6]])
([7,7,6,6,5,5,3,2,1,1,1,1],[[1,3,7],[1,5,6],[2,4,5]])
([7,7,6,6,5,4,3,3,2,1,1],[[1,3,7],[1,4,6],[2,3,6],[2,4,5]])
([7,7,6,5,5,5,4,3,1,1,1],[[1,3,7],[1,4,6],[3,4,5]])
([7,7,6,5,5,5,3,3,3,1],[[1,3,7],[2,3,6],[3,4,5]])
([7,6,6,6,6,5,3,2,2,1,1],[[1,2,7],[1,5,6],[2,3,6],[2,4,5]])
([7,6,6,6,6,4,4,2,2,2],[[1,2,7],[2,4,6]])
([7,6,6,6,5,5,5,2,1,1,1],[[1,2,7],[1,5,6],[3,4,5]])
([7,6,6,6,5,5,4,3,2,1],[[1,2,7],[1,4,6],[2,3,6],[3,4,5]])
([6,6,6,6,6,6,4,2,2,1],[[1,5,6],[2,4,6]])
([6,6,6,6,6,5,5,3,1,1],[[1,5,6],[2,3,6],[3,4,5]])
([6,6,6,6,6,5,4,4,2],[[2,4,6],[3,4,5]])


n = 16
([18,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[[1,2,18]])
([17,4,2,2,2,2,2,2,2,2,2,2,2,2,2,1],[[1,2,17],[1,3,4]])
([16,5,3,2,2,2,2,2,2,2,2,2,2,2,1,1],[[1,2,16],[1,3,5]])
([16,4,4,2,2,2,2,2,2,2,2,2,2,2,2],[[1,2,16],[2,3,4]])
([15,6,3,3,2,2,2,2,2,2,2,2,2,1,1,1],[[1,2,15],[1,3,6]])
([15,5,5,2,2,2,2,2,2,2,2,2,2,1,1,1],[[1,2,15],[1,4,5]])
([15,5,4,3,2,2,2,2,2,2,2,2,2,2,1],[[1,2,15],[1,3,5],[2,3,4]])
([14,7,3,3,3,2,2,2,2,2,2,2,1,1,1,1],[[1,2,14],[1,3,7]])
([14,6,5,3,2,2,2,2,2,2,2,2,1,1,1,1],[[1,2,14],[1,3,6],[1,4,5]])
([14,6,4,3,3,2,2,2,2,2,2,2,2,1,1],[[1,2,14],[1,3,6],[2,3,4]])
([14,5,5,4,2,2,2,2,2,2,2,2,2,1,1],[[1,2,14],[1,4,5],[2,3,4]])
([14,5,5,3,3,2,2,2,2,2,2,2,2,2],[[1,2,14],[2,3,5]])
([13,8,3,3,3,3,2,2,2,2,2,1,1,1,1,1],[[1,2,13],[1,3,8]])
([13,7,5,3,3,2,2,2,2,2,2,1,1,1,1,1],[[1,2,13],[1,3,7],[1,4,5]])
([13,7,4,3,3,3,2,2,2,2,2,2,1,1,1],[[1,2,13],[1,3,7],[2,3,4]])
([13,6,6,4,2,2,2,2,2,2,2,1,1,1,1,1],[[1,2,13],[1,4,6]])
([13,6,5,4,3,2,2,2,2,2,2,2,1,1,1],[[1,2,13],[1,3,6],[1,4,5],[2,3,4]])
([13,6,5,3,3,3,2,2,2,2,2,2,2,1],[[1,2,13],[1,3,6],[2,3,5]])
([13,5,5,5,3,2,2,2,2,2,2,2,2,1],[[1,2,13],[1,4,5],[2,3,5]])
([12,9,3,3,3,3,3,2,2,2,1,1,1,1,1,1],[[1,2,12],[1,3,9]])
([12,8,5,3,3,3,2,2,2,2,1,1,1,1,1,1],[[1,2,12],[1,3,8],[1,4,5]])
([12,8,4,3,3,3,3,2,2,2,2,1,1,1,1],[[1,2,12],[1,3,8],[2,3,4]])
([12,7,6,4,3,2,2,2,2,2,1,1,1,1,1,1],[[1,2,12],[1,3,7],[1,4,6]])
([12,7,5,4,3,3,2,2,2,2,2,1,1,1,1],[[1,2,12],[1,3,7],[1,4,5],[2,3,4]])
([12,7,5,3,3,3,3,2,2,2,2,2,1,1],[[1,2,12],[1,3,7],[2,3,5]])
([12,6,6,6,2,2,2,2,2,2,1,1,1,1,1,1],[[1,2,12],[1,5,6]])
([12,6,6,4,4,2,2,2,2,2,2,1,1,1,1],[[1,2,12],[1,4,6],[2,3,4]])
([12,6,6,3,3,3,3,2,2,2,2,2,2],[[1,2,12],[2,3,6]])
([12,6,5,5,3,3,2,2,2,2,2,2,1,1],[[1,2,12],[1,3,6],[1,4,5],[2,3,5]])
([12,5,5,5,5,2,2,2,2,2,2,2,2],[[1,2,12],[2,4,5]])
([11,10,3,3,3,3,3,3,2,1,1,1,1,1,1,1],[[1,2,11],[1,3,10]])
([11,9,5,3,3,3,3,2,2,1,1,1,1,1,1,1],[[1,2,11],[1,3,9],[1,4,5]])
([11,9,4,3,3,3,3,3,2,2,1,1,1,1,1],[[1,2,11],[1,3,9],[2,3,4]])
([11,8,6,4,3,3,2,2,2,1,1,1,1,1,1,1],[[1,2,11],[1,3,8],[1,4,6]])
([11,8,5,4,3,3,3,2,2,2,1,1,1,1,1],[[1,2,11],[1,3,8],[1,4,5],[2,3,4]])
([11,8,5,3,3,3,3,3,2,2,2,1,1,1],[[1,2,11],[1,3,8],[2,3,5]])
([11,7,7,4,4,2,2,2,2,1,1,1,1,1,1,1],[[1,2,11],[1,4,7]])
([11,7,6,6,3,2,2,2,2,1,1,1,1,1,1,1],[[1,2,11],[1,3,7],[1,5,6]])
([11,7,6,4,4,3,2,2,2,2,1,1,1,1,1],[[1,2,11],[1,3,7],[1,4,6],[2,3,4]])
([11,7,6,3,3,3,3,3,2,2,2,2,1],[[1,2,11],[1,3,7],[2,3,6]])
([11,7,5,5,3,3,3,2,2,2,2,1,1,1],[[1,2,11],[1,3,7],[1,4,5],[2,3,5]])
([11,6,6,6,4,2,2,2,2,2,1,1,1,1,1],[[1,2,11],[1,5,6],[2,3,4]])
([11,6,6,5,4,3,2,2,2,2,2,1,1,1],[[1,2,11],[1,4,6],[2,3,5]])
([11,6,6,5,3,3,3,2,2,2,2,2,1],[[1,2,11],[1,4,5],[2,3,6]])
([11,6,5,5,5,3,2,2,2,2,2,2,1],[[1,2,11],[1,3,6],[2,4,5]])
([11,5,5,5,5,5,2,2,2,2,2,2],[[1,2,11],[3,4,5]])
([10,10,5,3,3,3,3,3,1,1,1,1,1,1,1,1],[[1,3,10],[1,4,5]])
([10,10,4,3,3,3,3,3,3,1,1,1,1,1,1],[[1,3,10],[2,3,4]])
([10,9,6,4,3,3,3,2,1,1,1,1,1,1,1,1],[[1,2,10],[1,3,9],[1,4,6]])
([10,9,5,4,3,3,3,3,2,1,1,1,1,1,1],[[1,2,10],[1,3,9],[1,4,5],[2,3,4]])
([10,9,5,3,3,3,3,3,3,2,1,1,1,1],[[1,2,10],[1,3,9],[2,3,5]])
([10,8,7,4,4,3,2,2,1,1,1,1,1,1,1,1],[[1,2,10],[1,3,8],[1,4,7]])
([10,8,6,6,3,3,2,2,1,1,1,1,1,1,1,1],[[1,2,10],[1,3,8],[1,5,6]])
([10,8,6,4,4,3,3,2,2,1,1,1,1,1,1],[[1,2,10],[1,3,8],[1,4,6],[2,3,4]])
([10,8,6,3,3,3,3,3,3,2,2,1,1],[[1,2,10],[1,3,8],[2,3,6]])
([10,8,5,5,3,3,3,3,2,2,1,1,1,1],[[1,2,10],[1,3,8],[1,4,5],[2,3,5]])
([10,7,7,6,4,2,2,2,1,1,1,1,1,1,1,1],[[1,2,10],[1,4,7],[1,5,6]])
([10,7,7,4,4,4,2,2,2,1,1,1,1,1,1],[[1,2,10],[1,4,7],[2,3,4]])
([10,7,7,3,3,3,3,3,3,2,2,2],[[1,2,10],[2,3,7]])
([10,7,6,6,4,3,2,2,2,1,1,1,1,1,1],[[1,2,10],[1,3,7],[1,5,6],[2,3,4]])
([10,7,6,5,4,3,3,2,2,2,1,1,1,1],[[1,2,10],[1,3,7],[1,4,6],[2,3,5]])
([10,7,6,5,3,3,3,3,2,2,2,1,1],[[1,2,10],[1,3,7],[1,4,5],[2,3,6]])
([10,7,5,5,5,3,3,2,2,2,2,1,1],[[1,2,10],[1,3,7],[2,4,5]])
([10,6,6,6,5,3,2,2,2,2,1,1,1,1],[[1,2,10],[1,5,6],[2,3,5]])
([10,6,6,6,4,3,3,2,2,2,2,1,1],[[1,2,10],[1,4,6],[2,3,6]])
([10,6,6,5,5,4,2,2,2,2,2,1,1],[[1,2,10],[1,4,6],[2,4,5]])
([10,6,6,5,5,3,3,2,2,2,2,2],[[1,2,10],[2,3,6],[2,4,5]])
([10,6,5,5,5,5,3,2,2,2,2,1],[[1,2,10],[1,3,6],[3,4,5]])
([9,9,7,4,4,3,3,1,1,1,1,1,1,1,1,1],[[1,3,9],[1,4,7]])
([9,9,6,6,3,3,3,1,1,1,1,1,1,1,1,1],[[1,3,9],[1,5,6]])
([9,9,6,4,4,3,3,3,1,1,1,1,1,1,1],[[1,3,9],[1,4,6],[2,3,4]])
([9,9,6,3,3,3,3,3,3,3,1,1,1],[[1,3,9],[2,3,6]])
([9,9,5,5,3,3,3,3,3,1,1,1,1,1],[[1,3,9],[1,4,5],[2,3,5]])
([9,8,8,4,4,4,2,1,1,1,1,1,1,1,1,1],[[1,2,9],[1,4,8]])
([9,8,7,6,4,3,2,1,1,1,1,1,1,1,1,1],[[1,2,9],[1,3,8],[1,4,7],[1,5,6]])
([9,8,7,4,4,4,3,2,1,1,1,1,1,1,1],[[1,2,9],[1,3,8],[1,4,7],[2,3,4]])
([9,8,7,3,3,3,3,3,3,3,2,1],[[1,2,9],[1,3,8],[2,3,7]])
([9,8,6,6,4,3,3,2,1,1,1,1,1,1,1],[[1,2,9],[1,3,8],[1,5,6],[2,3,4]])
([9,8,6,5,4,3,3,3,2,1,1,1,1,1],[[1,2,9],[1,3,8],[1,4,6],[2,3,5]])
([9,8,6,5,3,3,3,3,3,2,1,1,1],[[1,2,9],[1,3,8],[1,4,5],[2,3,6]])
([9,8,5,5,5,3,3,3,2,2,1,1,1],[[1,2,9],[1,3,8],[2,4,5]])
([9,7,7,7,5,2,2,1,1,1,1,1,1,1,1,1],[[1,2,9],[1,5,7]])
([9,7,7,6,4,4,2,2,1,1,1,1,1,1,1],[[1,2,9],[1,4,7],[1,5,6],[2,3,4]])
([9,7,7,5,4,4,3,2,2,1,1,1,1,1],[[1,2,9],[1,4,7],[2,3,5]])
([9,7,7,5,3,3,3,3,3,2,2,1],[[1,2,9],[1,4,5],[2,3,7]])
([9,7,6,6,5,3,3,2,2,1,1,1,1,1],[[1,2,9],[1,3,7],[1,5,6],[2,3,5]])
([9,7,6,6,4,3,3,3,2,2,1,1,1],[[1,2,9],[1,3,7],[1,4,6],[2,3,6]])
([9,7,6,5,5,4,3,2,2,2,1,1,1],[[1,2,9],[1,3,7],[1,4,6],[2,4,5]])
([9,7,6,5,5,3,3,3,2,2,2,1],[[1,2,9],[1,3,7],[2,3,6],[2,4,5]])
([9,7,5,5,5,5,3,3,2,2,1,1],[[1,2,9],[1,3,7],[3,4,5]])
([9,6,6,6,6,3,3,2,2,2,1,1,1],[[1,2,9],[1,5,6],[2,3,6]])
([9,6,6,6,5,5,2,2,2,2,1,1,1],[[1,2,9],[1,5,6],[2,4,5]])
([9,6,6,6,5,4,3,2,2,2,2,1],[[1,2,9],[1,4,6],[2,3,6],[2,4,5]])
([9,6,6,5,5,5,4,2,2,2,1,1],[[1,2,9],[1,4,6],[3,4,5]])
([9,6,6,5,5,5,3,3,2,2,2],[[1,2,9],[2,3,6],[3,4,5]])
([8,8,8,6,4,4,1,1,1,1,1,1,1,1,1,1],[[1,4,8],[1,5,6]])
([8,8,8,4,4,4,4,1,1,1,1,1,1,1,1],[[1,4,8],[2,3,4]])
([8,8,8,3,3,3,3,3,3,3,3],[[2,3,8]])
([8,8,7,7,5,3,1,1,1,1,1,1,1,1,1,1],[[1,3,8],[1,5,7]])
([8,8,7,6,4,4,3,1,1,1,1,1,1,1,1],[[1,3,8],[1,4,7],[1,5,6],[2,3,4]])
([8,8,7,5,4,4,3,3,1,1,1,1,1,1],[[1,3,8],[1,4,7],[2,3,5]])
([8,8,7,5,3,3,3,3,3,3,1,1],[[1,3,8],[1,4,5],[2,3,7]])
([8,8,6,6,5,3,3,3,1,1,1,1,1,1],[[1,3,8],[1,5,6],[2,3,5]])
([8,8,6,6,4,3,3,3,3,1,1,1,1],[[1,3,8],[1,4,6],[2,3,6]])
([8,8,6,5,5,4,3,3,2,1,1,1,1],[[1,3,8],[1,4,6],[2,4,5]])
([8,8,6,5,5,3,3,3,3,2,1,1],[[1,3,8],[2,3,6],[2,4,5]])
([8,8,5,5,5,5,3,3,3,1,1,1],[[1,3,8],[3,4,5]])
([8,7,7,7,7,2,1,1,1,1,1,1,1,1,1,1],[[1,2,8],[1,6,7]])
([8,7,7,7,5,4,2,1,1,1,1,1,1,1,1],[[1,2,8],[1,5,7],[2,3,4]])
([8,7,7,6,5,4,3,2,1,1,1,1,1,1],[[1,2,8],[1,4,7],[1,5,6],[2,3,5]])
([8,7,7,6,4,4,3,3,2,1,1,1,1],[[1,2,8],[1,4,7],[2,3,6]])
([8,7,7,6,4,3,3,3,3,2,1,1],[[1,2,8],[1,4,6],[2,3,7]])
([8,7,7,5,5,4,4,2,2,1,1,1,1],[[1,2,8],[1,4,7],[2,4,5]])
([8,7,7,5,5,3,3,3,3,2,2],[[1,2,8],[2,3,7],[2,4,5]])
([8,7,6,6,6,3,3,3,2,1,1,1,1],[[1,2,8],[1,3,7],[1,5,6],[2,3,6]])
([8,7,6,6,5,5,3,2,2,1,1,1,1],[[1,2,8],[1,3,7],[1,5,6],[2,4,5]])
([8,7,6,6,5,4,3,3,2,2,1,1],[[1,2,8],[1,3,7],[1,4,6],[2,3,6],[2,4,5]])
([8,7,6,5,5,5,4,3,2,1,1,1],[[1,2,8],[1,3,7],[1,4,6],[3,4,5]])
([8,7,6,5,5,5,3,3,3,2,1],[[1,2,8],[1,3,7],[2,3,6],[3,4,5]])
([8,6,6,6,6,5,3,2,2,2,1,1],[[1,2,8],[1,5,6],[2,3,6],[2,4,5]])
([8,6,6,6,6,4,4,2,2,2,2],[[1,2,8],[2,4,6]])
([8,6,6,6,5,5,5,2,2,1,1,1],[[1,2,8],[1,5,6],[3,4,5]])
([8,6,6,6,5,5,4,3,2,2,1],[[1,2,8],[1,4,6],[2,3,6],[3,4,5]])
([7,7,7,7,7,4,1,1,1,1,1,1,1,1,1],[[1,6,7],[2,3,4]])
([7,7,7,7,5,5,3,1,1,1,1,1,1,1],[[1,5,7],[2,3,5]])
([7,7,7,7,4,4,3,3,3,1,1,1],[[1,4,7],[2,3,7]])
([7,7,7,6,6,4,3,3,1,1,1,1,1],[[1,4,7],[1,5,6],[2,3,6]])
([7,7,7,6,6,3,3,3,3,1,1,1],[[1,5,6],[2,3,7]])
([7,7,7,6,5,5,4,2,1,1,1,1,1],[[1,4,7],[1,5,6],[2,4,5]])
([7,7,7,6,5,4,4,3,2,1,1,1],[[1,4,7],[2,3,6],[2,4,5]])
([7,7,7,6,5,4,3,3,3,2,1],[[1,4,6],[2,3,7],[2,4,5]])
([7,7,7,5,5,5,4,4,1,1,1,1],[[1,4,7],[3,4,5]])
([7,7,7,5,5,5,3,3,3,3],[[2,3,7],[3,4,5]])
([7,7,6,6,6,5,3,3,2,1,1,1],[[1,3,7],[1,5,6],[2,3,6],[2,4,5]])
([7,7,6,6,6,4,4,3,2,2,1],[[1,3,7],[2,4,6]])
([7,7,6,6,5,5,5,3,1,1,1,1],[[1,3,7],[1,5,6],[3,4,5]])
([7,7,6,6,5,5,4,3,3,1,1],[[1,3,7],[1,4,6],[2,3,6],[3,4,5]])
([7,6,6,6,6,6,4,2,2,2,1],[[1,2,7],[1,5,6],[2,4,6]])
([7,6,6,6,6,5,5,3,2,1,1],[[1,2,7],[1,5,6],[2,3,6],[3,4,5]])
([7,6,6,6,6,5,4,4,2,2],[[1,2,7],[2,4,6],[3,4,5]])
([6,6,6,6,6,6,6,2,2,2],[[2,5,6]])
([6,6,6,6,6,6,5,4,2,1],[[1,5,6],[2,4,6],[3,4,5]])
([6,6,6,6,6,6,4,4,4],[[3,4,6]])


n = 17
([19,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[[1,2,19]])
([18,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1],[[1,2,18],[1,3,4]])
([17,5,3,2,2,2,2,2,2,2,2,2,2,2,2,1,1],[[1,2,17],[1,3,5]])
([17,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2],[[1,2,17],[2,3,4]])
([16,6,3,3,2,2,2,2,2,2,2,2,2,2,1,1,1],[[1,2,16],[1,3,6]])
([16,5,5,2,2,2,2,2,2,2,2,2,2,2,1,1,1],[[1,2,16],[1,4,5]])
([16,5,4,3,2,2,2,2,2,2,2,2,2,2,2,1],[[1,2,16],[1,3,5],[2,3,4]])
([15,7,3,3,3,2,2,2,2,2,2,2,2,1,1,1,1],[[1,2,15],[1,3,7]])
([15,6,5,3,2,2,2,2,2,2,2,2,2,1,1,1,1],[[1,2,15],[1,3,6],[1,4,5]])
([15,6,4,3,3,2,2,2,2,2,2,2,2,2,1,1],[[1,2,15],[1,3,6],[2,3,4]])
([15,5,5,4,2,2,2,2,2,2,2,2,2,2,1,1],[[1,2,15],[1,4,5],[2,3,4]])
([15,5,5,3,3,2,2,2,2,2,2,2,2,2,2],[[1,2,15],[2,3,5]])
([14,8,3,3,3,3,2,2,2,2,2,2,1,1,1,1,1],[[1,2,14],[1,3,8]])
([14,7,5,3,3,2,2,2,2,2,2,2,1,1,1,1,1],[[1,2,14],[1,3,7],[1,4,5]])
([14,7,4,3,3,3,2,2,2,2,2,2,2,1,1,1],[[1,2,14],[1,3,7],[2,3,4]])
([14,6,6,4,2,2,2,2,2,2,2,2,1,1,1,1,1],[[1,2,14],[1,4,6]])
([14,6,5,4,3,2,2,2,2,2,2,2,2,1,1,1],[[1,2,14],[1,3,6],[1,4,5],[2,3,4]])
([14,6,5,3,3,3,2,2,2,2,2,2,2,2,1],[[1,2,14],[1,3,6],[2,3,5]])
([14,5,5,5,3,2,2,2,2,2,2,2,2,2,1],[[1,2,14],[1,4,5],[2,3,5]])
([13,9,3,3,3,3,3,2,2,2,2,1,1,1,1,1,1],[[1,2,13],[1,3,9]])
([13,8,5,3,3,3,2,2,2,2,2,1,1,1,1,1,1],[[1,2,13],[1,3,8],[1,4,5]])
([13,8,4,3,3,3,3,2,2,2,2,2,1,1,1,1],[[1,2,13],[1,3,8],[2,3,4]])
([13,7,6,4,3,2,2,2,2,2,2,1,1,1,1,1,1],[[1,2,13],[1,3,7],[1,4,6]])
([13,7,5,4,3,3,2,2,2,2,2,2,1,1,1,1],[[1,2,13],[1,3,7],[1,4,5],[2,3,4]])
([13,7,5,3,3,3,3,2,2,2,2,2,2,1,1],[[1,2,13],[1,3,7],[2,3,5]])
([13,6,6,6,2,2,2,2,2,2,2,1,1,1,1,1,1],[[1,2,13],[1,5,6]])
([13,6,6,4,4,2,2,2,2,2,2,2,1,1,1,1],[[1,2,13],[1,4,6],[2,3,4]])
([13,6,6,3,3,3,3,2,2,2,2,2,2,2],[[1,2,13],[2,3,6]])
([13,6,5,5,3,3,2,2,2,2,2,2,2,1,1],[[1,2,13],[1,3,6],[1,4,5],[2,3,5]])
([13,5,5,5,5,2,2,2,2,2,2,2,2,2],[[1,2,13],[2,4,5]])
([12,10,3,3,3,3,3,3,2,2,1,1,1,1,1,1,1],[[1,2,12],[1,3,10]])
([12,9,5,3,3,3,3,2,2,2,1,1,1,1,1,1,1],[[1,2,12],[1,3,9],[1,4,5]])
([12,9,4,3,3,3,3,3,2,2,2,1,1,1,1,1],[[1,2,12],[1,3,9],[2,3,4]])
([12,8,6,4,3,3,2,2,2,2,1,1,1,1,1,1,1],[[1,2,12],[1,3,8],[1,4,6]])
([12,8,5,4,3,3,3,2,2,2,2,1,1,1,1,1],[[1,2,12],[1,3,8],[1,4,5],[2,3,4]])
([12,8,5,3,3,3,3,3,2,2,2,2,1,1,1],[[1,2,12],[1,3,8],[2,3,5]])
([12,7,7,4,4,2,2,2,2,2,1,1,1,1,1,1,1],[[1,2,12],[1,4,7]])
([12,7,6,6,3,2,2,2,2,2,1,1,1,1,1,1,1],[[1,2,12],[1,3,7],[1,5,6]])
([12,7,6,4,4,3,2,2,2,2,2,1,1,1,1,1],[[1,2,12],[1,3,7],[1,4,6],[2,3,4]])
([12,7,6,3,3,3,3,3,2,2,2,2,2,1],[[1,2,12],[1,3,7],[2,3,6]])
([12,7,5,5,3,3,3,2,2,2,2,2,1,1,1],[[1,2,12],[1,3,7],[1,4,5],[2,3,5]])
([12,6,6,6,4,2,2,2,2,2,2,1,1,1,1,1],[[1,2,12],[1,5,6],[2,3,4]])
([12,6,6,5,4,3,2,2,2,2,2,2,1,1,1],[[1,2,12],[1,4,6],[2,3,5]])
([12,6,6,5,3,3,3,2,2,2,2,2,2,1],[[1,2,12],[1,4,5],[2,3,6]])
([12,6,5,5,5,3,2,2,2,2,2,2,2,1],[[1,2,12],[1,3,6],[2,4,5]])
([12,5,5,5,5,5,2,2,2,2,2,2,2],[[1,2,12],[3,4,5]])
([11,11,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1],[[1,3,11]])
([11,10,5,3,3,3,3,3,2,1,1,1,1,1,1,1,1],[[1,2,11],[1,3,10],[1,4,5]])
([11,10,4,3,3,3,3,3,3,2,1,1,1,1,1,1],[[1,2,11],[1,3,10],[2,3,4]])
([11,9,6,4,3,3,3,2,2,1,1,1,1,1,1,1,1],[[1,2,11],[1,3,9],[1,4,6]])
([11,9,5,4,3,3,3,3,2,2,1,1,1,1,1,1],[[1,2,11],[1,3,9],[1,4,5],[2,3,4]])
([11,9,5,3,3,3,3,3,3,2,2,1,1,1,1],[[1,2,11],[1,3,9],[2,3,5]])
([11,8,7,4,4,3,2,2,2,1,1,1,1,1,1,1,1],[[1,2,11],[1,3,8],[1,4,7]])
([11,8,6,6,3,3,2,2,2,1,1,1,1,1,1,1,1],[[1,2,11],[1,3,8],[1,5,6]])
([11,8,6,4,4,3,3,2,2,2,1,1,1,1,1,1],[[1,2,11],[1,3,8],[1,4,6],[2,3,4]])
([11,8,6,3,3,3,3,3,3,2,2,2,1,1],[[1,2,11],[1,3,8],[2,3,6]])
([11,8,5,5,3,3,3,3,2,2,2,1,1,1,1],[[1,2,11],[1,3,8],[1,4,5],[2,3,5]])
([11,7,7,6,4,2,2,2,2,1,1,1,1,1,1,1,1],[[1,2,11],[1,4,7],[1,5,6]])
([11,7,7,4,4,4,2,2,2,2,1,1,1,1,1,1],[[1,2,11],[1,4,7],[2,3,4]])
([11,7,7,3,3,3,3,3,3,2,2,2,2],[[1,2,11],[2,3,7]])
([11,7,6,6,4,3,2,2,2,2,1,1,1,1,1,1],[[1,2,11],[1,3,7],[1,5,6],[2,3,4]])
([11,7,6,5,4,3,3,2,2,2,2,1,1,1,1],[[1,2,11],[1,3,7],[1,4,6],[2,3,5]])
([11,7,6,5,3,3,3,3,2,2,2,2,1,1],[[1,2,11],[1,3,7],[1,4,5],[2,3,6]])
([11,7,5,5,5,3,3,2,2,2,2,2,1,1],[[1,2,11],[1,3,7],[2,4,5]])
([11,6,6,6,5,3,2,2,2,2,2,1,1,1,1],[[1,2,11],[1,5,6],[2,3,5]])
([11,6,6,6,4,3,3,2,2,2,2,2,1,1],[[1,2,11],[1,4,6],[2,3,6]])
([11,6,6,5,5,4,2,2,2,2,2,2,1,1],[[1,2,11],[1,4,6],[2,4,5]])
([11,6,6,5,5,3,3,2,2,2,2,2,2],[[1,2,11],[2,3,6],[2,4,5]])
([11,6,5,5,5,5,3,2,2,2,2,2,1],[[1,2,11],[1,3,6],[3,4,5]])
([10,10,6,4,3,3,3,3,1,1,1,1,1,1,1,1,1],[[1,3,10],[1,4,6]])
([10,10,5,4,3,3,3,3,3,1,1,1,1,1,1,1],[[1,3,10],[1,4,5],[2,3,4]])
([10,10,5,3,3,3,3,3,3,3,1,1,1,1,1],[[1,3,10],[2,3,5]])
([10,9,7,4,4,3,3,2,1,1,1,1,1,1,1,1,1],[[1,2,10],[1,3,9],[1,4,7]])
([10,9,6,6,3,3,3,2,1,1,1,1,1,1,1,1,1],[[1,2,10],[1,3,9],[1,5,6]])
([10,9,6,4,4,3,3,3,2,1,1,1,1,1,1,1],[[1,2,10],[1,3,9],[1,4,6],[2,3,4]])
([10,9,6,3,3,3,3,3,3,3,2,1,1,1],[[1,2,10],[1,3,9],[2,3,6]])
([10,9,5,5,3,3,3,3,3,2,1,1,1,1,1],[[1,2,10],[1,3,9],[1,4,5],[2,3,5]])
([10,8,8,4,4,4,2,2,1,1,1,1,1,1,1,1,1],[[1,2,10],[1,4,8]])
([10,8,7,6,4,3,2,2,1,1,1,1,1,1,1,1,1],[[1,2,10],[1,3,8],[1,4,7],[1,5,6]])
([10,8,7,4,4,4,3,2,2,1,1,1,1,1,1,1],[[1,2,10],[1,3,8],[1,4,7],[2,3,4]])
([10,8,7,3,3,3,3,3,3,3,2,2,1],[[1,2,10],[1,3,8],[2,3,7]])
([10,8,6,6,4,3,3,2,2,1,1,1,1,1,1,1],[[1,2,10],[1,3,8],[1,5,6],[2,3,4]])
([10,8,6,5,4,3,3,3,2,2,1,1,1,1,1],[[1,2,10],[1,3,8],[1,4,6],[2,3,5]])
([10,8,6,5,3,3,3,3,3,2,2,1,1,1],[[1,2,10],[1,3,8],[1,4,5],[2,3,6]])
([10,8,5,5,5,3,3,3,2,2,2,1,1,1],[[1,2,10],[1,3,8],[2,4,5]])
([10,7,7,7,5,2,2,2,1,1,1,1,1,1,1,1,1],[[1,2,10],[1,5,7]])
([10,7,7,6,4,4,2,2,2,1,1,1,1,1,1,1],[[1,2,10],[1,4,7],[1,5,6],[2,3,4]])
([10,7,7,5,4,4,3,2,2,2,1,1,1,1,1],[[1,2,10],[1,4,7],[2,3,5]])
([10,7,7,5,3,3,3,3,3,2,2,2,1],[[1,2,10],[1,4,5],[2,3,7]])
([10,7,6,6,5,3,3,2,2,2,1,1,1,1,1],[[1,2,10],[1,3,7],[1,5,6],[2,3,5]])
([10,7,6,6,4,3,3,3,2,2,2,1,1,1],[[1,2,10],[1,3,7],[1,4,6],[2,3,6]])
([10,7,6,5,5,4,3,2,2,2,2,1,1,1],[[1,2,10],[1,3,7],[1,4,6],[2,4,5]])
([10,7,6,5,5,3,3,3,2,2,2,2,1],[[1,2,10],[1,3,7],[2,3,6],[2,4,5]])
([10,7,5,5,5,5,3,3,2,2,2,1,1],[[1,2,10],[1,3,7],[3,4,5]])
([10,6,6,6,6,3,3,2,2,2,2,1,1,1],[[1,2,10],[1,5,6],[2,3,6]])
([10,6,6,6,5,5,2,2,2,2,2,1,1,1],[[1,2,10],[1,5,6],[2,4,5]])
([10,6,6,6,5,4,3,2,2,2,2,2,1],[[1,2,10],[1,4,6],[2,3,6],[2,4,5]])
([10,6,6,5,5,5,4,2,2,2,2,1,1],[[1,2,10],[1,4,6],[3,4,5]])
([10,6,6,5,5,5,3,3,2,2,2,2],[[1,2,10],[2,3,6],[3,4,5]])
([9,9,8,4,4,4,3,1,1,1,1,1,1,1,1,1,1],[[1,3,9],[1,4,8]])
([9,9,7,6,4,3,3,1,1,1,1,1,1,1,1,1,1],[[1,3,9],[1,4,7],[1,5,6]])
([9,9,7,4,4,4,3,3,1,1,1,1,1,1,1,1],[[1,3,9],[1,4,7],[2,3,4]])
([9,9,7,3,3,3,3,3,3,3,3,1,1],[[1,3,9],[2,3,7]])
([9,9,6,6,4,3,3,3,1,1,1,1,1,1,1,1],[[1,3,9],[1,5,6],[2,3,4]])
([9,9,6,5,4,3,3,3,3,1,1,1,1,1,1],[[1,3,9],[1,4,6],[2,3,5]])
([9,9,6,5,3,3,3,3,3,3,1,1,1,1],[[1,3,9],[1,4,5],[2,3,6]])
([9,9,5,5,5,3,3,3,3,2,1,1,1,1],[[1,3,9],[2,4,5]])
([9,8,8,6,4,4,2,1,1,1,1,1,1,1,1,1,1],[[1,2,9],[1,4,8],[1,5,6]])
([9,8,8,4,4,4,4,2,1,1,1,1,1,1,1,1],[[1,2,9],[1,4,8],[2,3,4]])
([9,8,8,3,3,3,3,3,3,3,3,2],[[1,2,9],[2,3,8]])
([9,8,7,7,5,3,2,1,1,1,1,1,1,1,1,1,1],[[1,2,9],[1,3,8],[1,5,7]])
([9,8,7,6,4,4,3,2,1,1,1,1,1,1,1,1],[[1,2,9],[1,3,8],[1,4,7],[1,5,6],[2,3,4]])
([9,8,7,5,4,4,3,3,2,1,1,1,1,1,1],[[1,2,9],[1,3,8],[1,4,7],[2,3,5]])
([9,8,7,5,3,3,3,3,3,3,2,1,1],[[1,2,9],[1,3,8],[1,4,5],[2,3,7]])
([9,8,6,6,5,3,3,3,2,1,1,1,1,1,1],[[1,2,9],[1,3,8],[1,5,6],[2,3,5]])
([9,8,6,6,4,3,3,3,3,2,1,1,1,1],[[1,2,9],[1,3,8],[1,4,6],[2,3,6]])
([9,8,6,5,5,4,3,3,2,2,1,1,1,1],[[1,2,9],[1,3,8],[1,4,6],[2,4,5]])
([9,8,6,5,5,3,3,3,3,2,2,1,1],[[1,2,9],[1,3,8],[2,3,6],[2,4,5]])
([9,8,5,5,5,5,3,3,3,2,1,1,1],[[1,2,9],[1,3,8],[3,4,5]])
([9,7,7,7,7,2,2,1,1,1,1,1,1,1,1,1,1],[[1,2,9],[1,6,7]])
([9,7,7,7,5,4,2,2,1,1,1,1,1,1,1,1],[[1,2,9],[1,5,7],[2,3,4]])
([9,7,7,6,5,4,3,2,2,1,1,1,1,1,1],[[1,2,9],[1,4,7],[1,5,6],[2,3,5]])
([9,7,7,6,4,4,3,3,2,2,1,1,1,1],[[1,2,9],[1,4,7],[2,3,6]])
([9,7,7,6,4,3,3,3,3,2,2,1,1],[[1,2,9],[1,4,6],[2,3,7]])
([9,7,7,5,5,4,4,2,2,2,1,1,1,1],[[1,2,9],[1,4,7],[2,4,5]])
([9,7,7,5,5,3,3,3,3,2,2,2],[[1,2,9],[2,3,7],[2,4,5]])
([9,7,6,6,6,3,3,3,2,2,1,1,1,1],[[1,2,9],[1,3,7],[1,5,6],[2,3,6]])
([9,7,6,6,5,5,3,2,2,2,1,1,1,1],[[1,2,9],[1,3,7],[1,5,6],[2,4,5]])
([9,7,6,6,5,4,3,3,2,2,2,1,1],[[1,2,9],[1,3,7],[1,4,6],[2,3,6],[2,4,5]])
([9,7,6,5,5,5,4,3,2,2,1,1,1],[[1,2,9],[1,3,7],[1,4,6],[3,4,5]])
([9,7,6,5,5,5,3,3,3,2,2,1],[[1,2,9],[1,3,7],[2,3,6],[3,4,5]])
([9,6,6,6,6,5,3,2,2,2,2,1,1],[[1,2,9],[1,5,6],[2,3,6],[2,4,5]])
([9,6,6,6,6,4,4,2,2,2,2,2],[[1,2,9],[2,4,6]])
([9,6,6,6,5,5,5,2,2,2,1,1,1],[[1,2,9],[1,5,6],[3,4,5]])
([9,6,6,6,5,5,4,3,2,2,2,1],[[1,2,9],[1,4,6],[2,3,6],[3,4,5]])
([8,8,8,7,5,4,1,1,1,1,1,1,1,1,1,1,1],[[1,4,8],[1,5,7]])
([8,8,8,6,4,4,4,1,1,1,1,1,1,1,1,1],[[1,4,8],[1,5,6],[2,3,4]])
([8,8,8,5,4,4,4,3,1,1,1,1,1,1,1],[[1,4,8],[2,3,5]])
([8,8,8,5,3,3,3,3,3,3,3,1],[[1,4,5],[2,3,8]])
([8,8,7,7,7,3,1,1,1,1,1,1,1,1,1,1,1],[[1,3,8],[1,6,7]])
([8,8,7,7,5,4,3,1,1,1,1,1,1,1,1,1],[[1,3,8],[1,5,7],[2,3,4]])
([8,8,7,6,5,4,3,3,1,1,1,1,1,1,1],[[1,3,8],[1,4,7],[1,5,6],[2,3,5]])
([8,8,7,6,4,4,3,3,3,1,1,1,1,1],[[1,3,8],[1,4,7],[2,3,6]])
([8,8,7,6,4,3,3,3,3,3,1,1,1],[[1,3,8],[1,4,6],[2,3,7]])
([8,8,7,5,5,4,4,3,2,1,1,1,1,1],[[1,3,8],[1,4,7],[2,4,5]])
([8,8,7,5,5,3,3,3,3,3,2,1],[[1,3,8],[2,3,7],[2,4,5]])
([8,8,6,6,6,3,3,3,3,1,1,1,1,1],[[1,3,8],[1,5,6],[2,3,6]])
([8,8,6,6,5,5,3,3,2,1,1,1,1,1],[[1,3,8],[1,5,6],[2,4,5]])
([8,8,6,6,5,4,3,3,3,2,1,1,1],[[1,3,8],[1,4,6],[2,3,6],[2,4,5]])
([8,8,6,5,5,5,4,3,3,1,1,1,1],[[1,3,8],[1,4,6],[3,4,5]])
([8,8,6,5,5,5,3,3,3,3,1,1],[[1,3,8],[2,3,6],[3,4,5]])
([8,7,7,7,7,4,2,1,1,1,1,1,1,1,1,1],[[1,2,8],[1,6,7],[2,3,4]])
([8,7,7,7,5,5,3,2,1,1,1,1,1,1,1],[[1,2,8],[1,5,7],[2,3,5]])
([8,7,7,7,4,4,3,3,3,2,1,1,1],[[1,2,8],[1,4,7],[2,3,7]])
([8,7,7,6,6,4,3,3,2,1,1,1,1,1],[[1,2,8],[1,4,7],[1,5,6],[2,3,6]])
([8,7,7,6,6,3,3,3,3,2,1,1,1],[[1,2,8],[1,5,6],[2,3,7]])
([8,7,7,6,5,5,4,2,2,1,1,1,1,1],[[1,2,8],[1,4,7],[1,5,6],[2,4,5]])
([8,7,7,6,5,4,4,3,2,2,1,1,1],[[1,2,8],[1,4,7],[2,3,6],[2,4,5]])
([8,7,7,6,5,4,3,3,3,2,2,1],[[1,2,8],[1,4,6],[2,3,7],[2,4,5]])
([8,7,7,5,5,5,4,4,2,1,1,1,1],[[1,2,8],[1,4,7],[3,4,5]])
([8,7,7,5,5,5,3,3,3,3,2],[[1,2,8],[2,3,7],[3,4,5]])
([8,7,6,6,6,5,3,3,2,2,1,1,1],[[1,2,8],[1,3,7],[1,5,6],[2,3,6],[2,4,5]])
([8,7,6,6,6,4,4,3,2,2,2,1],[[1,2,8],[1,3,7],[2,4,6]])
([8,7,6,6,5,5,5,3,2,1,1,1,1],[[1,2,8],[1,3,7],[1,5,6],[3,4,5]])
([8,7,6,6,5,5,4,3,3,2,1,1],[[1,2,8],[1,3,7],[1,4,6],[2,3,6],[3,4,5]])
([8,6,6,6,6,6,4,2,2,2,2,1],[[1,2,8],[1,5,6],[2,4,6]])
([8,6,6,6,6,5,5,3,2,2,1,1],[[1,2,8],[1,5,6],[2,3,6],[3,4,5]])
([8,6,6,6,6,5,4,4,2,2,2],[[1,2,8],[2,4,6],[3,4,5]])
([7,7,7,7,7,5,3,1,1,1,1,1,1,1,1],[[1,6,7],[2,3,5]])
([7,7,7,7,6,5,3,3,1,1,1,1,1,1],[[1,5,7],[2,3,6]])
([7,7,7,7,6,4,3,3,3,1,1,1,1],[[1,4,7],[1,5,6],[2,3,7]])
([7,7,7,7,5,5,5,2,1,1,1,1,1,1],[[1,5,7],[2,4,5]])
([7,7,7,7,5,4,4,3,3,2,1,1],[[1,4,7],[2,3,7],[2,4,5]])
([7,7,7,6,6,5,4,3,2,1,1,1,1],[[1,4,7],[1,5,6],[2,3,6],[2,4,5]])
([7,7,7,6,6,5,3,3,3,2,1,1],[[1,5,6],[2,3,7],[2,4,5]])
([7,7,7,6,6,4,4,4,2,2,1,1],[[1,4,7],[2,4,6]])
([7,7,7,6,6,4,4,3,3,2,2],[[2,3,7],[2,4,6]])
([7,7,7,6,5,5,5,4,1,1,1,1,1],[[1,4,7],[1,5,6],[3,4,5]])
([7,7,7,6,5,5,4,4,3,1,1,1],[[1,4,7],[2,3,6],[3,4,5]])
([7,7,7,6,5,5,4,3,3,3,1],[[1,4,6],[2,3,7],[3,4,5]])
([7,7,6,6,6,6,4,3,2,2,1,1],[[1,3,7],[1,5,6],[2,4,6]])
([7,7,6,6,6,5,5,3,3,1,1,1],[[1,3,7],[1,5,6],[2,3,6],[3,4,5]])
([7,7,6,6,6,5,4,4,3,2,1],[[1,3,7],[2,4,6],[3,4,5]])
([7,6,6,6,6,6,6,2,2,2,2],[[1,2,7],[2,5,6]])
([7,6,6,6,6,6,5,4,2,2,1],[[1,2,7],[1,5,6],[2,4,6],[3,4,5]])
([7,6,6,6,6,6,4,4,4,2],[[1,2,7],[3,4,6]])
([6,6,6,6,6,6,6,5,2,2],[[2,5,6],[3,4,5]])
([6,6,6,6,6,6,6,4,4,1],[[1,5,6],[3,4,6]])


m = 5
-----

n = 1
([5],[[1,2,3,4,5]])


n = 2
([6,4],[[1,2,3,4,6]])


n = 3
([7,4,4],[[1,2,3,4,7]])
([6,6,3],[[1,2,3,5,6]])


n = 4
([8,4,4,4],[[1,2,3,4,8]])
([7,6,4,3],[[1,2,3,4,7],[1,2,3,5,6]])
([6,6,6,2],[[1,2,4,5,6]])


n = 5
([9,4,4,4,4],[[1,2,3,4,9]])
([8,6,4,4,3],[[1,2,3,4,8],[1,2,3,5,6]])
([7,7,5,3,3],[[1,2,3,5,7]])
([7,6,6,4,2],[[1,2,3,4,7],[1,2,4,5,6]])
([6,6,6,6,1],[[1,3,4,5,6]])


n = 6
([10,4,4,4,4,4],[[1,2,3,4,10]])
([9,6,4,4,4,3],[[1,2,3,4,9],[1,2,3,5,6]])
([8,7,5,4,3,3],[[1,2,3,4,8],[1,2,3,5,7]])
([8,6,6,4,4,2],[[1,2,3,4,8],[1,2,4,5,6]])
([7,7,7,3,3,3],[[1,2,3,6,7]])
([7,7,6,5,3,2],[[1,2,3,5,7],[1,2,4,5,6]])
([7,6,6,6,4,1],[[1,2,3,4,7],[1,3,4,5,6]])
([6,6,6,6,6],[[2,3,4,5,6]])



n = 7
([11,4,4,4,4,4,4],[[1,2,3,4,11]])
([10,6,4,4,4,4,3],[[1,2,3,4,10],[1,2,3,5,6]])
([9,7,5,4,4,3,3],[[1,2,3,4,9],[1,2,3,5,7]])
([9,6,6,4,4,4,2],[[1,2,3,4,9],[1,2,4,5,6]])
([8,8,5,5,3,3,3],[[1,2,3,5,8]])
([8,7,7,4,3,3,3],[[1,2,3,4,8],[1,2,3,6,7]])
([8,7,6,5,4,3,2],[[1,2,3,4,8],[1,2,3,5,7],[1,2,4,5,6]])
([8,6,6,6,4,4,1],[[1,2,3,4,8],[1,3,4,5,6]])
([7,7,7,6,3,3,2],[[1,2,3,6,7],[1,2,4,5,6]])
([7,7,7,5,5,2,2],[[1,2,4,5,7]])
([7,7,6,6,5,3,1],[[1,2,3,5,7],[1,3,4,5,6]])
([7,6,6,6,6,4],[[1,2,3,4,7],[2,3,4,5,6]])



n = 8

([12,4,4,4,4,4,4,4],[[1,2,3,4,12]])
([11,6,4,4,4,4,4,3],[[1,2,3,4,11],[1,2,3,5,6]])
([10,7,5,4,4,4,3,3],[[1,2,3,4,10],[1,2,3,5,7]])
([10,6,6,4,4,4,4,2],[[1,2,3,4,10],[1,2,4,5,6]])
([9,8,5,5,4,3,3,3],[[1,2,3,4,9],[1,2,3,5,8]])
([9,7,7,4,4,3,3,3],[[1,2,3,4,9],[1,2,3,6,7]])
([9,7,6,5,4,4,3,2],[[1,2,3,4,9],[1,2,3,5,7],[1,2,4,5,6]])
([9,6,6,6,4,4,4,1],[[1,2,3,4,9],[1,3,4,5,6]])
([8,8,7,5,3,3,3,3],[[1,2,3,5,8],[1,2,3,6,7]])
([8,8,6,5,5,3,3,2],[[1,2,3,5,8],[1,2,4,5,6]])
([8,7,7,6,4,3,3,2],[[1,2,3,4,8],[1,2,3,6,7],[1,2,4,5,6]])
([8,7,7,5,5,4,2,2],[[1,2,3,4,8],[1,2,4,5,7]])
([8,7,6,6,5,4,3,1],[[1,2,3,4,8],[1,2,3,5,7],[1,3,4,5,6]])
([8,6,6,6,6,4,4],[[1,2,3,4,8],[2,3,4,5,6]])
([7,7,7,7,5,3,2,2],[[1,2,3,6,7],[1,2,4,5,7]])
([7,7,7,6,6,3,3,1],[[1,2,3,6,7],[1,3,4,5,6]])
([7,7,7,6,5,5,2,1],[[1,2,4,5,7],[1,3,4,5,6]])
([7,7,6,6,6,5,3],[[1,2,3,5,7],[2,3,4,5,6]])



n = 9
([13,4,4,4,4,4,4,4,4],[[1,2,3,4,13]])
([12,6,4,4,4,4,4,4,3],[[1,2,3,4,12],[1,2,3,5,6]])
([11,7,5,4,4,4,4,3,3],[[1,2,3,4,11],[1,2,3,5,7]])
([11,6,6,4,4,4,4,4,2],[[1,2,3,4,11],[1,2,4,5,6]])
([10,8,5,5,4,4,3,3,3],[[1,2,3,4,10],[1,2,3,5,8]])
([10,7,7,4,4,4,3,3,3],[[1,2,3,4,10],[1,2,3,6,7]])
([10,7,6,5,4,4,4,3,2],[[1,2,3,4,10],[1,2,3,5,7],[1,2,4,5,6]])
([10,6,6,6,4,4,4,4,1],[[1,2,3,4,10],[1,3,4,5,6]])
([9,9,5,5,5,3,3,3,3],[[1,2,3,5,9]])
([9,8,7,5,4,3,3,3,3],[[1,2,3,4,9],[1,2,3,5,8],[1,2,3,6,7]])
([9,8,6,5,5,4,3,3,2],[[1,2,3,4,9],[1,2,3,5,8],[1,2,4,5,6]])
([9,7,7,6,4,4,3,3,2],[[1,2,3,4,9],[1,2,3,6,7],[1,2,4,5,6]])
([9,7,7,5,5,4,4,2,2],[[1,2,3,4,9],[1,2,4,5,7]])
([9,7,6,6,5,4,4,3,1],[[1,2,3,4,9],[1,2,3,5,7],[1,3,4,5,6]])
([9,6,6,6,6,4,4,4],[[1,2,3,4,9],[2,3,4,5,6]])
([8,8,8,6,3,3,3,3,3],[[1,2,3,6,8]])
([8,8,7,6,5,3,3,3,2],[[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,6]])
([8,8,7,5,5,5,3,2,2],[[1,2,3,5,8],[1,2,4,5,7]])
([8,8,6,6,5,5,3,3,1],[[1,2,3,5,8],[1,3,4,5,6]])
([8,7,7,7,5,4,3,2,2],[[1,2,3,4,8],[1,2,3,6,7],[1,2,4,5,7]])
([8,7,7,6,6,4,3,3,1],[[1,2,3,4,8],[1,2,3,6,7],[1,3,4,5,6]])
([8,7,7,6,5,5,4,2,1],[[1,2,3,4,8],[1,2,4,5,7],[1,3,4,5,6]])
([8,7,6,6,6,5,4,3],[[1,2,3,4,8],[1,2,3,5,7],[2,3,4,5,6]])
([7,7,7,7,7,4,2,2,2],[[1,2,4,6,7]])
([7,7,7,7,6,5,3,2,1],[[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([7,7,7,7,5,5,5,1,1],[[1,3,4,5,7]])
([7,7,7,6,6,6,3,3],[[1,2,3,6,7],[2,3,4,5,6]])
([7,7,7,6,6,5,5,2],[[1,2,4,5,7],[2,3,4,5,6]])



n = 10
([14,4,4,4,4,4,4,4,4,4],[[1,2,3,4,14]])
([13,6,4,4,4,4,4,4,4,3],[[1,2,3,4,13],[1,2,3,5,6]])
([12,7,5,4,4,4,4,4,3,3],[[1,2,3,4,12],[1,2,3,5,7]])
([12,6,6,4,4,4,4,4,4,2],[[1,2,3,4,12],[1,2,4,5,6]])
([11,8,5,5,4,4,4,3,3,3],[[1,2,3,4,11],[1,2,3,5,8]])
([11,7,7,4,4,4,4,3,3,3],[[1,2,3,4,11],[1,2,3,6,7]])
([11,7,6,5,4,4,4,4,3,2],[[1,2,3,4,11],[1,2,3,5,7],[1,2,4,5,6]])
([11,6,6,6,4,4,4,4,4,1],[[1,2,3,4,11],[1,3,4,5,6]])
([10,9,5,5,5,4,3,3,3,3],[[1,2,3,4,10],[1,2,3,5,9]])
([10,8,7,5,4,4,3,3,3,3],[[1,2,3,4,10],[1,2,3,5,8],[1,2,3,6,7]])
([10,8,6,5,5,4,4,3,3,2],[[1,2,3,4,10],[1,2,3,5,8],[1,2,4,5,6]])
([10,7,7,6,4,4,4,3,3,2],[[1,2,3,4,10],[1,2,3,6,7],[1,2,4,5,6]])
([10,7,7,5,5,4,4,4,2,2],[[1,2,3,4,10],[1,2,4,5,7]])
([10,7,6,6,5,4,4,4,3,1],[[1,2,3,4,10],[1,2,3,5,7],[1,3,4,5,6]])
([10,6,6,6,6,4,4,4,4],[[1,2,3,4,10],[2,3,4,5,6]])
([9,9,7,5,5,3,3,3,3,3],[[1,2,3,5,9],[1,2,3,6,7]])
([9,9,6,5,5,5,3,3,3,2],[[1,2,3,5,9],[1,2,4,5,6]])
([9,8,8,6,4,3,3,3,3,3],[[1,2,3,4,9],[1,2,3,6,8]])
([9,8,7,6,5,4,3,3,3,2],[[1,2,3,4,9],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,6]])
([9,8,7,5,5,5,4,3,2,2],[[1,2,3,4,9],[1,2,3,5,8],[1,2,4,5,7]])
([9,8,6,6,5,5,4,3,3,1],[[1,2,3,4,9],[1,2,3,5,8],[1,3,4,5,6]])
([9,7,7,7,5,4,4,3,2,2],[[1,2,3,4,9],[1,2,3,6,7],[1,2,4,5,7]])
([9,7,7,6,6,4,4,3,3,1],[[1,2,3,4,9],[1,2,3,6,7],[1,3,4,5,6]])
([9,7,7,6,5,5,4,4,2,1],[[1,2,3,4,9],[1,2,4,5,7],[1,3,4,5,6]])
([9,7,6,6,6,5,4,4,3],[[1,2,3,4,9],[1,2,3,5,7],[2,3,4,5,6]])
([8,8,8,8,3,3,3,3,3,3],[[1,2,3,7,8]])
([8,8,8,6,6,3,3,3,3,2],[[1,2,3,6,8],[1,2,4,5,6]])
([8,8,8,5,5,5,5,2,2,2],[[1,2,4,5,8]])
([8,8,7,7,5,5,3,3,2,2],[[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7]])
([8,8,7,6,6,5,3,3,3,1],[[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,6]])
([8,8,7,6,5,5,5,3,2,1],[[1,2,3,5,8],[1,2,4,5,7],[1,3,4,5,6]])
([8,8,6,6,6,5,5,3,3],[[1,2,3,5,8],[2,3,4,5,6]])
([8,7,7,7,7,4,4,2,2,2],[[1,2,3,4,8],[1,2,4,6,7]])
([8,7,7,7,6,5,4,3,2,1],[[1,2,3,4,8],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([8,7,7,7,5,5,5,4,1,1],[[1,2,3,4,8],[1,3,4,5,7]])
([8,7,7,6,6,6,4,3,3],[[1,2,3,4,8],[1,2,3,6,7],[2,3,4,5,6]])
([8,7,7,6,6,5,5,4,2],[[1,2,3,4,8],[1,2,4,5,7],[2,3,4,5,6]])
([7,7,7,7,7,7,2,2,2,2],[[1,2,5,6,7]])
([7,7,7,7,7,6,4,2,2,1],[[1,2,4,6,7],[1,3,4,5,6]])
([7,7,7,7,7,5,5,3,1,1],[[1,2,3,6,7],[1,3,4,5,7]])
([7,7,7,7,6,6,5,3,2],[[1,2,3,6,7],[1,2,4,5,7],[2,3,4,5,6]])
([7,7,7,7,6,5,5,5,1],[[1,3,4,5,7],[2,3,4,5,6]])


n = 11
([15,4,4,4,4,4,4,4,4,4,4],[[1,2,3,4,15]])
([14,6,4,4,4,4,4,4,4,4,3],[[1,2,3,4,14],[1,2,3,5,6]])
([13,7,5,4,4,4,4,4,4,3,3],[[1,2,3,4,13],[1,2,3,5,7]])
([13,6,6,4,4,4,4,4,4,4,2],[[1,2,3,4,13],[1,2,4,5,6]])
([12,8,5,5,4,4,4,4,3,3,3],[[1,2,3,4,12],[1,2,3,5,8]])
([12,7,7,4,4,4,4,4,3,3,3],[[1,2,3,4,12],[1,2,3,6,7]])
([12,7,6,5,4,4,4,4,4,3,2],[[1,2,3,4,12],[1,2,3,5,7],[1,2,4,5,6]])
([12,6,6,6,4,4,4,4,4,4,1],[[1,2,3,4,12],[1,3,4,5,6]])
([11,9,5,5,5,4,4,3,3,3,3],[[1,2,3,4,11],[1,2,3,5,9]])
([11,8,7,5,4,4,4,3,3,3,3],[[1,2,3,4,11],[1,2,3,5,8],[1,2,3,6,7]])
([11,8,6,5,5,4,4,4,3,3,2],[[1,2,3,4,11],[1,2,3,5,8],[1,2,4,5,6]])
([11,7,7,6,4,4,4,4,3,3,2],[[1,2,3,4,11],[1,2,3,6,7],[1,2,4,5,6]])
([11,7,7,5,5,4,4,4,4,2,2],[[1,2,3,4,11],[1,2,4,5,7]])
([11,7,6,6,5,4,4,4,4,3,1],[[1,2,3,4,11],[1,2,3,5,7],[1,3,4,5,6]])
([11,6,6,6,6,4,4,4,4,4],[[1,2,3,4,11],[2,3,4,5,6]])
([10,10,5,5,5,5,3,3,3,3,3],[[1,2,3,5,10]])
([10,9,7,5,5,4,3,3,3,3,3],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,7]])
([10,9,6,5,5,5,4,3,3,3,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,4,5,6]])
([10,8,8,6,4,4,3,3,3,3,3],[[1,2,3,4,10],[1,2,3,6,8]])
([10,8,7,6,5,4,4,3,3,3,2],[[1,2,3,4,10],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,6]])
([10,8,7,5,5,5,4,4,3,2,2],[[1,2,3,4,10],[1,2,3,5,8],[1,2,4,5,7]])
([10,8,6,6,5,5,4,4,3,3,1],[[1,2,3,4,10],[1,2,3,5,8],[1,3,4,5,6]])
([10,7,7,7,5,4,4,4,3,2,2],[[1,2,3,4,10],[1,2,3,6,7],[1,2,4,5,7]])
([10,7,7,6,6,4,4,4,3,3,1],[[1,2,3,4,10],[1,2,3,6,7],[1,3,4,5,6]])
([10,7,7,6,5,5,4,4,4,2,1],[[1,2,3,4,10],[1,2,4,5,7],[1,3,4,5,6]])
([10,7,6,6,6,5,4,4,4,3],[[1,2,3,4,10],[1,2,3,5,7],[2,3,4,5,6]])
([9,9,8,6,5,3,3,3,3,3,3],[[1,2,3,5,9],[1,2,3,6,8]])
([9,9,7,6,5,5,3,3,3,3,2],[[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,6]])
([9,9,7,5,5,5,5,3,3,2,2],[[1,2,3,5,9],[1,2,4,5,7]])
([9,9,6,6,5,5,5,3,3,3,1],[[1,2,3,5,9],[1,3,4,5,6]])
([9,8,8,8,4,3,3,3,3,3,3],[[1,2,3,4,9],[1,2,3,7,8]])
([9,8,8,6,6,4,3,3,3,3,2],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,5,6]])
([9,8,8,5,5,5,5,4,2,2,2],[[1,2,3,4,9],[1,2,4,5,8]])
([9,8,7,7,5,5,4,3,3,2,2],[[1,2,3,4,9],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7]])
([9,8,7,6,6,5,4,3,3,3,1],[[1,2,3,4,9],[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,6]])
([9,8,7,6,5,5,5,4,3,2,1],[[1,2,3,4,9],[1,2,3,5,8],[1,2,4,5,7],[1,3,4,5,6]])
([9,8,6,6,6,5,5,4,3,3],[[1,2,3,4,9],[1,2,3,5,8],[2,3,4,5,6]])
([9,7,7,7,7,4,4,4,2,2,2],[[1,2,3,4,9],[1,2,4,6,7]])
([9,7,7,7,6,5,4,4,3,2,1],[[1,2,3,4,9],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([9,7,7,7,5,5,5,4,4,1,1],[[1,2,3,4,9],[1,3,4,5,7]])
([9,7,7,6,6,6,4,4,3,3],[[1,2,3,4,9],[1,2,3,6,7],[2,3,4,5,6]])
([9,7,7,6,6,5,5,4,4,2],[[1,2,3,4,9],[1,2,4,5,7],[2,3,4,5,6]])
([8,8,8,8,6,3,3,3,3,3,2],[[1,2,3,7,8],[1,2,4,5,6]])
([8,8,8,7,6,5,3,3,3,2,2],[[1,2,3,6,8],[1,2,4,5,7]])
([8,8,8,7,5,5,5,3,2,2,2],[[1,2,3,6,7],[1,2,4,5,8]])
([8,8,8,6,6,6,3,3,3,3,1],[[1,2,3,6,8],[1,3,4,5,6]])
([8,8,8,6,5,5,5,5,2,2,1],[[1,2,4,5,8],[1,3,4,5,6]])
([8,8,7,7,7,5,4,3,2,2,2],[[1,2,3,5,8],[1,2,4,6,7]])
([8,8,7,7,6,5,5,3,3,2,1],[[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([8,8,7,7,5,5,5,5,3,1,1],[[1,2,3,5,8],[1,3,4,5,7]])
([8,8,7,6,6,6,5,3,3,3],[[1,2,3,5,8],[1,2,3,6,7],[2,3,4,5,6]])
([8,8,7,6,6,5,5,5,3,2],[[1,2,3,5,8],[1,2,4,5,7],[2,3,4,5,6]])
([8,7,7,7,7,7,4,2,2,2,2],[[1,2,3,4,8],[1,2,5,6,7]])
([8,7,7,7,7,6,4,4,2,2,1],[[1,2,3,4,8],[1,2,4,6,7],[1,3,4,5,6]])
([8,7,7,7,7,5,5,4,3,1,1],[[1,2,3,4,8],[1,2,3,6,7],[1,3,4,5,7]])
([8,7,7,7,6,6,5,4,3,2],[[1,2,3,4,8],[1,2,3,6,7],[1,2,4,5,7],[2,3,4,5,6]])
([8,7,7,7,6,5,5,5,4,1],[[1,2,3,4,8],[1,3,4,5,7],[2,3,4,5,6]])
([7,7,7,7,7,7,6,2,2,2,1],[[1,2,5,6,7],[1,3,4,5,6]])
([7,7,7,7,7,7,5,4,2,1,1],[[1,2,4,6,7],[1,3,4,5,7]])
([7,7,7,7,7,6,6,4,2,2],[[1,2,4,6,7],[2,3,4,5,6]])
([7,7,7,7,7,6,5,5,3,1],[[1,2,3,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([7,7,7,7,7,5,5,5,5],[[2,3,4,5,7]])



n = 12
([16,4,4,4,4,4,4,4,4,4,4,4],[[1,2,3,4,16]])
([15,6,4,4,4,4,4,4,4,4,4,3],[[1,2,3,4,15],[1,2,3,5,6]])
([14,7,5,4,4,4,4,4,4,4,3,3],[[1,2,3,4,14],[1,2,3,5,7]])
([14,6,6,4,4,4,4,4,4,4,4,2],[[1,2,3,4,14],[1,2,4,5,6]])
([13,8,5,5,4,4,4,4,4,3,3,3],[[1,2,3,4,13],[1,2,3,5,8]])
([13,7,7,4,4,4,4,4,4,3,3,3],[[1,2,3,4,13],[1,2,3,6,7]])
([13,7,6,5,4,4,4,4,4,4,3,2],[[1,2,3,4,13],[1,2,3,5,7],[1,2,4,5,6]])
([13,6,6,6,4,4,4,4,4,4,4,1],[[1,2,3,4,13],[1,3,4,5,6]])
([12,9,5,5,5,4,4,4,3,3,3,3],[[1,2,3,4,12],[1,2,3,5,9]])
([12,8,7,5,4,4,4,4,3,3,3,3],[[1,2,3,4,12],[1,2,3,5,8],[1,2,3,6,7]])
([12,8,6,5,5,4,4,4,4,3,3,2],[[1,2,3,4,12],[1,2,3,5,8],[1,2,4,5,6]])
([12,7,7,6,4,4,4,4,4,3,3,2],[[1,2,3,4,12],[1,2,3,6,7],[1,2,4,5,6]])
([12,7,7,5,5,4,4,4,4,4,2,2],[[1,2,3,4,12],[1,2,4,5,7]])
([12,7,6,6,5,4,4,4,4,4,3,1],[[1,2,3,4,12],[1,2,3,5,7],[1,3,4,5,6]])
([12,6,6,6,6,4,4,4,4,4,4],[[1,2,3,4,12],[2,3,4,5,6]])
([11,10,5,5,5,5,4,3,3,3,3,3],[[1,2,3,4,11],[1,2,3,5,10]])
([11,9,7,5,5,4,4,3,3,3,3,3],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,6,7]])
([11,9,6,5,5,5,4,4,3,3,3,2],[[1,2,3,4,11],[1,2,3,5,9],[1,2,4,5,6]])
([11,8,8,6,4,4,4,3,3,3,3,3],[[1,2,3,4,11],[1,2,3,6,8]])
([11,8,7,6,5,4,4,4,3,3,3,2],[[1,2,3,4,11],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,6]])
([11,8,7,5,5,5,4,4,4,3,2,2],[[1,2,3,4,11],[1,2,3,5,8],[1,2,4,5,7]])
([11,8,6,6,5,5,4,4,4,3,3,1],[[1,2,3,4,11],[1,2,3,5,8],[1,3,4,5,6]])
([11,7,7,7,5,4,4,4,4,3,2,2],[[1,2,3,4,11],[1,2,3,6,7],[1,2,4,5,7]])
([11,7,7,6,6,4,4,4,4,3,3,1],[[1,2,3,4,11],[1,2,3,6,7],[1,3,4,5,6]])
([11,7,7,6,5,5,4,4,4,4,2,1],[[1,2,3,4,11],[1,2,4,5,7],[1,3,4,5,6]])
([11,7,6,6,6,5,4,4,4,4,3],[[1,2,3,4,11],[1,2,3,5,7],[2,3,4,5,6]])
([10,10,7,5,5,5,3,3,3,3,3,3],[[1,2,3,5,10],[1,2,3,6,7]])
([10,10,6,5,5,5,5,3,3,3,3,2],[[1,2,3,5,10],[1,2,4,5,6]])
([10,9,8,6,5,4,3,3,3,3,3,3],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,8]])
([10,9,7,6,5,5,4,3,3,3,3,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,6]])
([10,9,7,5,5,5,5,4,3,3,2,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,4,5,7]])
([10,9,6,6,5,5,5,4,3,3,3,1],[[1,2,3,4,10],[1,2,3,5,9],[1,3,4,5,6]])
([10,8,8,8,4,4,3,3,3,3,3,3],[[1,2,3,4,10],[1,2,3,7,8]])
([10,8,8,6,6,4,4,3,3,3,3,2],[[1,2,3,4,10],[1,2,3,6,8],[1,2,4,5,6]])
([10,8,8,5,5,5,5,4,4,2,2,2],[[1,2,3,4,10],[1,2,4,5,8]])
([10,8,7,7,5,5,4,4,3,3,2,2],[[1,2,3,4,10],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7]])
([10,8,7,6,6,5,4,4,3,3,3,1],[[1,2,3,4,10],[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,6]])
([10,8,7,6,5,5,5,4,4,3,2,1],[[1,2,3,4,10],[1,2,3,5,8],[1,2,4,5,7],[1,3,4,5,6]])
([10,8,6,6,6,5,5,4,4,3,3],[[1,2,3,4,10],[1,2,3,5,8],[2,3,4,5,6]])
([10,7,7,7,7,4,4,4,4,2,2,2],[[1,2,3,4,10],[1,2,4,6,7]])
([10,7,7,7,6,5,4,4,4,3,2,1],[[1,2,3,4,10],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([10,7,7,7,5,5,5,4,4,4,1,1],[[1,2,3,4,10],[1,3,4,5,7]])
([10,7,7,6,6,6,4,4,4,3,3],[[1,2,3,4,10],[1,2,3,6,7],[2,3,4,5,6]])
([10,7,7,6,6,5,5,4,4,4,2],[[1,2,3,4,10],[1,2,4,5,7],[2,3,4,5,6]])
([9,9,9,6,6,3,3,3,3,3,3,3],[[1,2,3,6,9]])
([9,9,8,8,5,3,3,3,3,3,3,3],[[1,2,3,5,9],[1,2,3,7,8]])
([9,9,8,6,6,5,3,3,3,3,3,2],[[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,6]])
([9,9,8,5,5,5,5,5,3,2,2,2],[[1,2,3,5,9],[1,2,4,5,8]])
([9,9,7,7,5,5,5,3,3,3,2,2],[[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,7]])
([9,9,7,6,6,5,5,3,3,3,3,1],[[1,2,3,5,9],[1,2,3,6,7],[1,3,4,5,6]])
([9,9,7,6,5,5,5,5,3,3,2,1],[[1,2,3,5,9],[1,2,4,5,7],[1,3,4,5,6]])
([9,9,6,6,6,5,5,5,3,3,3],[[1,2,3,5,9],[2,3,4,5,6]])
([9,8,8,8,6,4,3,3,3,3,3,2],[[1,2,3,4,9],[1,2,3,7,8],[1,2,4,5,6]])
([9,8,8,7,6,5,4,3,3,3,2,2],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,5,7]])
([9,8,8,7,5,5,5,4,3,2,2,2],[[1,2,3,4,9],[1,2,3,6,7],[1,2,4,5,8]])
([9,8,8,6,6,6,4,3,3,3,3,1],[[1,2,3,4,9],[1,2,3,6,8],[1,3,4,5,6]])
([9,8,8,6,5,5,5,5,4,2,2,1],[[1,2,3,4,9],[1,2,4,5,8],[1,3,4,5,6]])
([9,8,7,7,7,5,4,4,3,2,2,2],[[1,2,3,4,9],[1,2,3,5,8],[1,2,4,6,7]])
([9,8,7,7,6,5,5,4,3,3,2,1],[[1,2,3,4,9],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([9,8,7,7,5,5,5,5,4,3,1,1],[[1,2,3,4,9],[1,2,3,5,8],[1,3,4,5,7]])
([9,8,7,6,6,6,5,4,3,3,3],[[1,2,3,4,9],[1,2,3,5,8],[1,2,3,6,7],[2,3,4,5,6]])
([9,8,7,6,6,5,5,5,4,3,2],[[1,2,3,4,9],[1,2,3,5,8],[1,2,4,5,7],[2,3,4,5,6]])
([9,7,7,7,7,7,4,4,2,2,2,2],[[1,2,3,4,9],[1,2,5,6,7]])
([9,7,7,7,7,6,4,4,4,2,2,1],[[1,2,3,4,9],[1,2,4,6,7],[1,3,4,5,6]])
([9,7,7,7,7,5,5,4,4,3,1,1],[[1,2,3,4,9],[1,2,3,6,7],[1,3,4,5,7]])
([9,7,7,7,6,6,5,4,4,3,2],[[1,2,3,4,9],[1,2,3,6,7],[1,2,4,5,7],[2,3,4,5,6]])
([9,7,7,7,6,5,5,5,4,4,1],[[1,2,3,4,9],[1,3,4,5,7],[2,3,4,5,6]])
([8,8,8,8,7,5,3,3,3,3,2,2],[[1,2,3,7,8],[1,2,4,5,7]])
([8,8,8,8,6,6,3,3,3,3,3,1],[[1,2,3,7,8],[1,3,4,5,6]])
([8,8,8,8,6,5,5,3,3,2,2,2],[[1,2,3,6,8],[1,2,4,5,8]])
([8,8,8,7,7,6,4,3,3,2,2,2],[[1,2,3,6,8],[1,2,4,6,7]])
([8,8,8,7,7,5,5,4,2,2,2,2],[[1,2,4,5,8],[1,2,4,6,7]])
([8,8,8,7,6,6,5,3,3,3,2,1],[[1,2,3,6,8],[1,2,4,5,7],[1,3,4,5,6]])
([8,8,8,7,6,5,5,5,3,2,2,1],[[1,2,3,6,7],[1,2,4,5,8],[1,3,4,5,6]])
([8,8,8,7,5,5,5,5,5,2,1,1],[[1,2,4,5,8],[1,3,4,5,7]])
([8,8,8,6,6,6,6,3,3,3,3],[[1,2,3,6,8],[2,3,4,5,6]])
([8,8,8,6,6,5,5,5,5,2,2],[[1,2,4,5,8],[2,3,4,5,6]])
([8,8,7,7,7,7,5,3,2,2,2,2],[[1,2,3,5,8],[1,2,5,6,7]])
([8,8,7,7,7,6,5,4,3,2,2,1],[[1,2,3,5,8],[1,2,4,6,7],[1,3,4,5,6]])
([8,8,7,7,7,5,5,5,3,3,1,1],[[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,7]])
([8,8,7,7,6,6,5,5,3,3,2],[[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7],[2,3,4,5,6]])
([8,8,7,7,6,5,5,5,5,3,1],[[1,2,3,5,8],[1,3,4,5,7],[2,3,4,5,6]])
([8,7,7,7,7,7,6,4,2,2,2,1],[[1,2,3,4,8],[1,2,5,6,7],[1,3,4,5,6]])
([8,7,7,7,7,7,5,4,4,2,1,1],[[1,2,3,4,8],[1,2,4,6,7],[1,3,4,5,7]])
([8,7,7,7,7,6,6,4,4,2,2],[[1,2,3,4,8],[1,2,4,6,7],[2,3,4,5,6]])
([8,7,7,7,7,6,5,5,4,3,1],[[1,2,3,4,8],[1,2,3,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([8,7,7,7,7,5,5,5,5,4],[[1,2,3,4,8],[2,3,4,5,7]])
([7,7,7,7,7,7,7,5,2,2,1,1],[[1,2,5,6,7],[1,3,4,5,7]])
([7,7,7,7,7,7,7,4,4,1,1,1],[[1,3,4,6,7]])
([7,7,7,7,7,7,6,6,2,2,2],[[1,2,5,6,7],[2,3,4,5,6]])
([7,7,7,7,7,7,6,5,4,2,1],[[1,2,4,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([7,7,7,7,7,7,5,5,5,3],[[1,2,3,6,7],[2,3,4,5,7]])


n = 13
([17,4,4,4,4,4,4,4,4,4,4,4,4],[[1,2,3,4,17]])
([16,6,4,4,4,4,4,4,4,4,4,4,3],[[1,2,3,4,16],[1,2,3,5,6]])
([15,7,5,4,4,4,4,4,4,4,4,3,3],[[1,2,3,4,15],[1,2,3,5,7]])
([15,6,6,4,4,4,4,4,4,4,4,4,2],[[1,2,3,4,15],[1,2,4,5,6]])
([14,8,5,5,4,4,4,4,4,4,3,3,3],[[1,2,3,4,14],[1,2,3,5,8]])
([14,7,7,4,4,4,4,4,4,4,3,3,3],[[1,2,3,4,14],[1,2,3,6,7]])
([14,7,6,5,4,4,4,4,4,4,4,3,2],[[1,2,3,4,14],[1,2,3,5,7],[1,2,4,5,6]])
([14,6,6,6,4,4,4,4,4,4,4,4,1],[[1,2,3,4,14],[1,3,4,5,6]])
([13,9,5,5,5,4,4,4,4,3,3,3,3],[[1,2,3,4,13],[1,2,3,5,9]])
([13,8,7,5,4,4,4,4,4,3,3,3,3],[[1,2,3,4,13],[1,2,3,5,8],[1,2,3,6,7]])
([13,8,6,5,5,4,4,4,4,4,3,3,2],[[1,2,3,4,13],[1,2,3,5,8],[1,2,4,5,6]])
([13,7,7,6,4,4,4,4,4,4,3,3,2],[[1,2,3,4,13],[1,2,3,6,7],[1,2,4,5,6]])
([13,7,7,5,5,4,4,4,4,4,4,2,2],[[1,2,3,4,13],[1,2,4,5,7]])
([13,7,6,6,5,4,4,4,4,4,4,3,1],[[1,2,3,4,13],[1,2,3,5,7],[1,3,4,5,6]])
([13,6,6,6,6,4,4,4,4,4,4,4],[[1,2,3,4,13],[2,3,4,5,6]])
([12,10,5,5,5,5,4,4,3,3,3,3,3],[[1,2,3,4,12],[1,2,3,5,10]])
([12,9,7,5,5,4,4,4,3,3,3,3,3],[[1,2,3,4,12],[1,2,3,5,9],[1,2,3,6,7]])
([12,9,6,5,5,5,4,4,4,3,3,3,2],[[1,2,3,4,12],[1,2,3,5,9],[1,2,4,5,6]])
([12,8,8,6,4,4,4,4,3,3,3,3,3],[[1,2,3,4,12],[1,2,3,6,8]])
([12,8,7,6,5,4,4,4,4,3,3,3,2],[[1,2,3,4,12],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,6]])
([12,8,7,5,5,5,4,4,4,4,3,2,2],[[1,2,3,4,12],[1,2,3,5,8],[1,2,4,5,7]])
([12,8,6,6,5,5,4,4,4,4,3,3,1],[[1,2,3,4,12],[1,2,3,5,8],[1,3,4,5,6]])
([12,7,7,7,5,4,4,4,4,4,3,2,2],[[1,2,3,4,12],[1,2,3,6,7],[1,2,4,5,7]])
([12,7,7,6,6,4,4,4,4,4,3,3,1],[[1,2,3,4,12],[1,2,3,6,7],[1,3,4,5,6]])
([12,7,7,6,5,5,4,4,4,4,4,2,1],[[1,2,3,4,12],[1,2,4,5,7],[1,3,4,5,6]])
([12,7,6,6,6,5,4,4,4,4,4,3],[[1,2,3,4,12],[1,2,3,5,7],[2,3,4,5,6]])
([11,11,5,5,5,5,5,3,3,3,3,3,3],[[1,2,3,5,11]])
([11,10,7,5,5,5,4,3,3,3,3,3,3],[[1,2,3,4,11],[1,2,3,5,10],[1,2,3,6,7]])
([11,10,6,5,5,5,5,4,3,3,3,3,2],[[1,2,3,4,11],[1,2,3,5,10],[1,2,4,5,6]])
([11,9,8,6,5,4,4,3,3,3,3,3,3],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,6,8]])
([11,9,7,6,5,5,4,4,3,3,3,3,2],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,6]])
([11,9,7,5,5,5,5,4,4,3,3,2,2],[[1,2,3,4,11],[1,2,3,5,9],[1,2,4,5,7]])
([11,9,6,6,5,5,5,4,4,3,3,3,1],[[1,2,3,4,11],[1,2,3,5,9],[1,3,4,5,6]])
([11,8,8,8,4,4,4,3,3,3,3,3,3],[[1,2,3,4,11],[1,2,3,7,8]])
([11,8,8,6,6,4,4,4,3,3,3,3,2],[[1,2,3,4,11],[1,2,3,6,8],[1,2,4,5,6]])
([11,8,8,5,5,5,5,4,4,4,2,2,2],[[1,2,3,4,11],[1,2,4,5,8]])
([11,8,7,7,5,5,4,4,4,3,3,2,2],[[1,2,3,4,11],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7]])
([11,8,7,6,6,5,4,4,4,3,3,3,1],[[1,2,3,4,11],[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,6]])
([11,8,7,6,5,5,5,4,4,4,3,2,1],[[1,2,3,4,11],[1,2,3,5,8],[1,2,4,5,7],[1,3,4,5,6]])
([11,8,6,6,6,5,5,4,4,4,3,3],[[1,2,3,4,11],[1,2,3,5,8],[2,3,4,5,6]])
([11,7,7,7,7,4,4,4,4,4,2,2,2],[[1,2,3,4,11],[1,2,4,6,7]])
([11,7,7,7,6,5,4,4,4,4,3,2,1],[[1,2,3,4,11],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([11,7,7,7,5,5,5,4,4,4,4,1,1],[[1,2,3,4,11],[1,3,4,5,7]])
([11,7,7,6,6,6,4,4,4,4,3,3],[[1,2,3,4,11],[1,2,3,6,7],[2,3,4,5,6]])
([11,7,7,6,6,5,5,4,4,4,4,2],[[1,2,3,4,11],[1,2,4,5,7],[2,3,4,5,6]])
([10,10,8,6,5,5,3,3,3,3,3,3,3],[[1,2,3,5,10],[1,2,3,6,8]])
([10,10,7,6,5,5,5,3,3,3,3,3,2],[[1,2,3,5,10],[1,2,3,6,7],[1,2,4,5,6]])
([10,10,7,5,5,5,5,5,3,3,3,2,2],[[1,2,3,5,10],[1,2,4,5,7]])
([10,10,6,6,5,5,5,5,3,3,3,3,1],[[1,2,3,5,10],[1,3,4,5,6]])
([10,9,9,6,6,4,3,3,3,3,3,3,3],[[1,2,3,4,10],[1,2,3,6,9]])
([10,9,8,8,5,4,3,3,3,3,3,3,3],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,7,8]])
([10,9,8,6,6,5,4,3,3,3,3,3,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,6]])
([10,9,8,5,5,5,5,5,4,3,2,2,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,4,5,8]])
([10,9,7,7,5,5,5,4,3,3,3,2,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,7]])
([10,9,7,6,6,5,5,4,3,3,3,3,1],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,7],[1,3,4,5,6]])
([10,9,7,6,5,5,5,5,4,3,3,2,1],[[1,2,3,4,10],[1,2,3,5,9],[1,2,4,5,7],[1,3,4,5,6]])
([10,9,6,6,6,5,5,5,4,3,3,3],[[1,2,3,4,10],[1,2,3,5,9],[2,3,4,5,6]])
([10,8,8,8,6,4,4,3,3,3,3,3,2],[[1,2,3,4,10],[1,2,3,7,8],[1,2,4,5,6]])
([10,8,8,7,6,5,4,4,3,3,3,2,2],[[1,2,3,4,10],[1,2,3,6,8],[1,2,4,5,7]])
([10,8,8,7,5,5,5,4,4,3,2,2,2],[[1,2,3,4,10],[1,2,3,6,7],[1,2,4,5,8]])
([10,8,8,6,6,6,4,4,3,3,3,3,1],[[1,2,3,4,10],[1,2,3,6,8],[1,3,4,5,6]])
([10,8,8,6,5,5,5,5,4,4,2,2,1],[[1,2,3,4,10],[1,2,4,5,8],[1,3,4,5,6]])
([10,8,7,7,7,5,4,4,4,3,2,2,2],[[1,2,3,4,10],[1,2,3,5,8],[1,2,4,6,7]])
([10,8,7,7,6,5,5,4,4,3,3,2,1],[[1,2,3,4,10],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([10,8,7,7,5,5,5,5,4,4,3,1,1],[[1,2,3,4,10],[1,2,3,5,8],[1,3,4,5,7]])
([10,8,7,6,6,6,5,4,4,3,3,3],[[1,2,3,4,10],[1,2,3,5,8],[1,2,3,6,7],[2,3,4,5,6]])
([10,8,7,6,6,5,5,5,4,4,3,2],[[1,2,3,4,10],[1,2,3,5,8],[1,2,4,5,7],[2,3,4,5,6]])
([10,7,7,7,7,7,4,4,4,2,2,2,2],[[1,2,3,4,10],[1,2,5,6,7]])
([10,7,7,7,7,6,4,4,4,4,2,2,1],[[1,2,3,4,10],[1,2,4,6,7],[1,3,4,5,6]])
([10,7,7,7,7,5,5,4,4,4,3,1,1],[[1,2,3,4,10],[1,2,3,6,7],[1,3,4,5,7]])
([10,7,7,7,6,6,5,4,4,4,3,2],[[1,2,3,4,10],[1,2,3,6,7],[1,2,4,5,7],[2,3,4,5,6]])
([10,7,7,7,6,5,5,5,4,4,4,1],[[1,2,3,4,10],[1,3,4,5,7],[2,3,4,5,6]])
([9,9,9,8,6,3,3,3,3,3,3,3,3],[[1,2,3,6,9],[1,2,3,7,8]])
([9,9,9,6,6,6,3,3,3,3,3,3,2],[[1,2,3,6,9],[1,2,4,5,6]])
([9,9,9,5,5,5,5,5,5,2,2,2,2],[[1,2,4,5,9]])
([9,9,8,8,6,5,3,3,3,3,3,3,2],[[1,2,3,5,9],[1,2,3,7,8],[1,2,4,5,6]])
([9,9,8,7,6,5,5,3,3,3,3,2,2],[[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,7]])
([9,9,8,7,5,5,5,5,3,3,2,2,2],[[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,8]])
([9,9,8,6,6,6,5,3,3,3,3,3,1],[[1,2,3,5,9],[1,2,3,6,8],[1,3,4,5,6]])
([9,9,8,6,5,5,5,5,5,3,2,2,1],[[1,2,3,5,9],[1,2,4,5,8],[1,3,4,5,6]])
([9,9,7,7,7,5,5,4,3,3,2,2,2],[[1,2,3,5,9],[1,2,4,6,7]])
([9,9,7,7,6,5,5,5,3,3,3,2,1],[[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([9,9,7,7,5,5,5,5,5,3,3,1,1],[[1,2,3,5,9],[1,3,4,5,7]])
([9,9,7,6,6,6,5,5,3,3,3,3],[[1,2,3,5,9],[1,2,3,6,7],[2,3,4,5,6]])
([9,9,7,6,6,5,5,5,5,3,3,2],[[1,2,3,5,9],[1,2,4,5,7],[2,3,4,5,6]])
([9,8,8,8,7,5,4,3,3,3,3,2,2],[[1,2,3,4,9],[1,2,3,7,8],[1,2,4,5,7]])
([9,8,8,8,6,6,4,3,3,3,3,3,1],[[1,2,3,4,9],[1,2,3,7,8],[1,3,4,5,6]])
([9,8,8,8,6,5,5,4,3,3,2,2,2],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,5,8]])
([9,8,8,7,7,6,4,4,3,3,2,2,2],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,6,7]])
([9,8,8,7,7,5,5,4,4,2,2,2,2],[[1,2,3,4,9],[1,2,4,5,8],[1,2,4,6,7]])
([9,8,8,7,6,6,5,4,3,3,3,2,1],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,5,7],[1,3,4,5,6]])
([9,8,8,7,6,5,5,5,4,3,2,2,1],[[1,2,3,4,9],[1,2,3,6,7],[1,2,4,5,8],[1,3,4,5,6]])
([9,8,8,7,5,5,5,5,5,4,2,1,1],[[1,2,3,4,9],[1,2,4,5,8],[1,3,4,5,7]])
([9,8,8,6,6,6,6,4,3,3,3,3],[[1,2,3,4,9],[1,2,3,6,8],[2,3,4,5,6]])
([9,8,8,6,6,5,5,5,5,4,2,2],[[1,2,3,4,9],[1,2,4,5,8],[2,3,4,5,6]])
([9,8,7,7,7,7,5,4,3,2,2,2,2],[[1,2,3,4,9],[1,2,3,5,8],[1,2,5,6,7]])
([9,8,7,7,7,6,5,4,4,3,2,2,1],[[1,2,3,4,9],[1,2,3,5,8],[1,2,4,6,7],[1,3,4,5,6]])
([9,8,7,7,7,5,5,5,4,3,3,1,1],[[1,2,3,4,9],[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,7]])
([9,8,7,7,6,6,5,5,4,3,3,2],[[1,2,3,4,9],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7],[2,3,4,5,6]])
([9,8,7,7,6,5,5,5,5,4,3,1],[[1,2,3,4,9],[1,2,3,5,8],[1,3,4,5,7],[2,3,4,5,6]])
([9,7,7,7,7,7,6,4,4,2,2,2,1],[[1,2,3,4,9],[1,2,5,6,7],[1,3,4,5,6]])
([9,7,7,7,7,7,5,4,4,4,2,1,1],[[1,2,3,4,9],[1,2,4,6,7],[1,3,4,5,7]])
([9,7,7,7,7,6,6,4,4,4,2,2],[[1,2,3,4,9],[1,2,4,6,7],[2,3,4,5,6]])
([9,7,7,7,7,6,5,5,4,4,3,1],[[1,2,3,4,9],[1,2,3,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([9,7,7,7,7,5,5,5,5,4,4],[[1,2,3,4,9],[2,3,4,5,7]])
([8,8,8,8,8,5,5,3,3,3,2,2,2],[[1,2,3,7,8],[1,2,4,5,8]])
([8,8,8,8,7,7,4,3,3,3,2,2,2],[[1,2,3,7,8],[1,2,4,6,7]])
([8,8,8,8,7,6,5,4,3,2,2,2,2],[[1,2,3,6,8],[1,2,4,5,8],[1,2,4,6,7]])
([8,8,8,8,7,6,5,3,3,3,3,2,1],[[1,2,3,7,8],[1,2,4,5,7],[1,3,4,5,6]])
([8,8,8,8,6,6,6,3,3,3,3,3],[[1,2,3,7,8],[2,3,4,5,6]])
([8,8,8,8,6,6,5,5,3,3,2,2,1],[[1,2,3,6,8],[1,2,4,5,8],[1,3,4,5,6]])
([8,8,8,8,5,5,5,5,5,5,1,1,1],[[1,3,4,5,8]])
([8,8,8,7,7,7,6,3,3,2,2,2,2],[[1,2,3,6,8],[1,2,5,6,7]])
([8,8,8,7,7,7,5,5,2,2,2,2,2],[[1,2,4,5,8],[1,2,5,6,7]])
([8,8,8,7,7,6,6,4,3,3,2,2,1],[[1,2,3,6,8],[1,2,4,6,7],[1,3,4,5,6]])
([8,8,8,7,7,6,5,5,4,2,2,2,1],[[1,2,4,5,8],[1,2,4,6,7],[1,3,4,5,6]])
([8,8,8,7,7,6,5,5,3,3,3,1,1],[[1,2,3,6,8],[1,3,4,5,7]])
([8,8,8,7,7,5,5,5,5,3,2,1,1],[[1,2,3,6,7],[1,2,4,5,8],[1,3,4,5,7]])
([8,8,8,7,6,6,6,5,3,3,3,2],[[1,2,3,6,8],[1,2,4,5,7],[2,3,4,5,6]])
([8,8,8,7,6,6,5,5,5,3,2,2],[[1,2,3,6,7],[1,2,4,5,8],[2,3,4,5,6]])
([8,8,8,7,6,5,5,5,5,5,2,1],[[1,2,4,5,8],[1,3,4,5,7],[2,3,4,5,6]])
([8,8,7,7,7,7,6,5,3,2,2,2,1],[[1,2,3,5,8],[1,2,5,6,7],[1,3,4,5,6]])
([8,8,7,7,7,7,5,5,4,3,2,1,1],[[1,2,3,5,8],[1,2,4,6,7],[1,3,4,5,7]])
([8,8,7,7,7,6,6,5,4,3,2,2],[[1,2,3,5,8],[1,2,4,6,7],[2,3,4,5,6]])
([8,8,7,7,7,6,5,5,5,3,3,1],[[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([8,8,7,7,7,5,5,5,5,5,3],[[1,2,3,5,8],[2,3,4,5,7]])
([8,7,7,7,7,7,7,5,4,2,2,1,1],[[1,2,3,4,8],[1,2,5,6,7],[1,3,4,5,7]])
([8,7,7,7,7,7,7,4,4,4,1,1,1],[[1,2,3,4,8],[1,3,4,6,7]])
([8,7,7,7,7,7,6,6,4,2,2,2],[[1,2,3,4,8],[1,2,5,6,7],[2,3,4,5,6]])
([8,7,7,7,7,7,6,5,4,4,2,1],[[1,2,3,4,8],[1,2,4,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([8,7,7,7,7,7,5,5,5,4,3],[[1,2,3,4,8],[1,2,3,6,7],[2,3,4,5,7]])
([7,7,7,7,7,7,7,7,4,2,1,1,1],[[1,2,5,6,7],[1,3,4,6,7]])
([7,7,7,7,7,7,7,6,5,2,2,1],[[1,2,5,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([7,7,7,7,7,7,7,6,4,4,1,1],[[1,3,4,6,7],[2,3,4,5,6]])
([7,7,7,7,7,7,7,5,5,4,2],[[1,2,4,6,7],[2,3,4,5,7]])



n = 14
([18,4,4,4,4,4,4,4,4,4,4,4,4,4],[[1,2,3,4,18]])
([17,6,4,4,4,4,4,4,4,4,4,4,4,3],[[1,2,3,4,17],[1,2,3,5,6]])
([16,7,5,4,4,4,4,4,4,4,4,4,3,3],[[1,2,3,4,16],[1,2,3,5,7]])
([16,6,6,4,4,4,4,4,4,4,4,4,4,2],[[1,2,3,4,16],[1,2,4,5,6]])
([15,8,5,5,4,4,4,4,4,4,4,3,3,3],[[1,2,3,4,15],[1,2,3,5,8]])
([15,7,7,4,4,4,4,4,4,4,4,3,3,3],[[1,2,3,4,15],[1,2,3,6,7]])
([15,7,6,5,4,4,4,4,4,4,4,4,3,2],[[1,2,3,4,15],[1,2,3,5,7],[1,2,4,5,6]])
([15,6,6,6,4,4,4,4,4,4,4,4,4,1],[[1,2,3,4,15],[1,3,4,5,6]])
([14,9,5,5,5,4,4,4,4,4,3,3,3,3],[[1,2,3,4,14],[1,2,3,5,9]])
([14,8,7,5,4,4,4,4,4,4,3,3,3,3],[[1,2,3,4,14],[1,2,3,5,8],[1,2,3,6,7]])
([14,8,6,5,5,4,4,4,4,4,4,3,3,2],[[1,2,3,4,14],[1,2,3,5,8],[1,2,4,5,6]])
([14,7,7,6,4,4,4,4,4,4,4,3,3,2],[[1,2,3,4,14],[1,2,3,6,7],[1,2,4,5,6]])
([14,7,7,5,5,4,4,4,4,4,4,4,2,2],[[1,2,3,4,14],[1,2,4,5,7]])
([14,7,6,6,5,4,4,4,4,4,4,4,3,1],[[1,2,3,4,14],[1,2,3,5,7],[1,3,4,5,6]])
([14,6,6,6,6,4,4,4,4,4,4,4,4],[[1,2,3,4,14],[2,3,4,5,6]])
([13,10,5,5,5,5,4,4,4,3,3,3,3,3],[[1,2,3,4,13],[1,2,3,5,10]])
([13,9,7,5,5,4,4,4,4,3,3,3,3,3],[[1,2,3,4,13],[1,2,3,5,9],[1,2,3,6,7]])
([13,9,6,5,5,5,4,4,4,4,3,3,3,2],[[1,2,3,4,13],[1,2,3,5,9],[1,2,4,5,6]])
([13,8,8,6,4,4,4,4,4,3,3,3,3,3],[[1,2,3,4,13],[1,2,3,6,8]])
([13,8,7,6,5,4,4,4,4,4,3,3,3,2],[[1,2,3,4,13],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,6]])
([13,8,7,5,5,5,4,4,4,4,4,3,2,2],[[1,2,3,4,13],[1,2,3,5,8],[1,2,4,5,7]])
([13,8,6,6,5,5,4,4,4,4,4,3,3,1],[[1,2,3,4,13],[1,2,3,5,8],[1,3,4,5,6]])
([13,7,7,7,5,4,4,4,4,4,4,3,2,2],[[1,2,3,4,13],[1,2,3,6,7],[1,2,4,5,7]])
([13,7,7,6,6,4,4,4,4,4,4,3,3,1],[[1,2,3,4,13],[1,2,3,6,7],[1,3,4,5,6]])
([13,7,7,6,5,5,4,4,4,4,4,4,2,1],[[1,2,3,4,13],[1,2,4,5,7],[1,3,4,5,6]])
([13,7,6,6,6,5,4,4,4,4,4,4,3],[[1,2,3,4,13],[1,2,3,5,7],[2,3,4,5,6]])
([12,11,5,5,5,5,5,4,3,3,3,3,3,3],[[1,2,3,4,12],[1,2,3,5,11]])
([12,10,7,5,5,5,4,4,3,3,3,3,3,3],[[1,2,3,4,12],[1,2,3,5,10],[1,2,3,6,7]])
([12,10,6,5,5,5,5,4,4,3,3,3,3,2],[[1,2,3,4,12],[1,2,3,5,10],[1,2,4,5,6]])
([12,9,8,6,5,4,4,4,3,3,3,3,3,3],[[1,2,3,4,12],[1,2,3,5,9],[1,2,3,6,8]])
([12,9,7,6,5,5,4,4,4,3,3,3,3,2],[[1,2,3,4,12],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,6]])
([12,9,7,5,5,5,5,4,4,4,3,3,2,2],[[1,2,3,4,12],[1,2,3,5,9],[1,2,4,5,7]])
([12,9,6,6,5,5,5,4,4,4,3,3,3,1],[[1,2,3,4,12],[1,2,3,5,9],[1,3,4,5,6]])
([12,8,8,8,4,4,4,4,3,3,3,3,3,3],[[1,2,3,4,12],[1,2,3,7,8]])
([12,8,8,6,6,4,4,4,4,3,3,3,3,2],[[1,2,3,4,12],[1,2,3,6,8],[1,2,4,5,6]])
([12,8,8,5,5,5,5,4,4,4,4,2,2,2],[[1,2,3,4,12],[1,2,4,5,8]])
([12,8,7,7,5,5,4,4,4,4,3,3,2,2],[[1,2,3,4,12],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7]])
([12,8,7,6,6,5,4,4,4,4,3,3,3,1],[[1,2,3,4,12],[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,6]])
([12,8,7,6,5,5,5,4,4,4,4,3,2,1],[[1,2,3,4,12],[1,2,3,5,8],[1,2,4,5,7],[1,3,4,5,6]])
([12,8,6,6,6,5,5,4,4,4,4,3,3],[[1,2,3,4,12],[1,2,3,5,8],[2,3,4,5,6]])
([12,7,7,7,7,4,4,4,4,4,4,2,2,2],[[1,2,3,4,12],[1,2,4,6,7]])
([12,7,7,7,6,5,4,4,4,4,4,3,2,1],[[1,2,3,4,12],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([12,7,7,7,5,5,5,4,4,4,4,4,1,1],[[1,2,3,4,12],[1,3,4,5,7]])
([12,7,7,6,6,6,4,4,4,4,4,3,3],[[1,2,3,4,12],[1,2,3,6,7],[2,3,4,5,6]])
([12,7,7,6,6,5,5,4,4,4,4,4,2],[[1,2,3,4,12],[1,2,4,5,7],[2,3,4,5,6]])
([11,11,7,5,5,5,5,3,3,3,3,3,3,3],[[1,2,3,5,11],[1,2,3,6,7]])
([11,11,6,5,5,5,5,5,3,3,3,3,3,2],[[1,2,3,5,11],[1,2,4,5,6]])
([11,10,8,6,5,5,4,3,3,3,3,3,3,3],[[1,2,3,4,11],[1,2,3,5,10],[1,2,3,6,8]])
([11,10,7,6,5,5,5,4,3,3,3,3,3,2],[[1,2,3,4,11],[1,2,3,5,10],[1,2,3,6,7],[1,2,4,5,6]])
([11,10,7,5,5,5,5,5,4,3,3,3,2,2],[[1,2,3,4,11],[1,2,3,5,10],[1,2,4,5,7]])
([11,10,6,6,5,5,5,5,4,3,3,3,3,1],[[1,2,3,4,11],[1,2,3,5,10],[1,3,4,5,6]])
([11,9,9,6,6,4,4,3,3,3,3,3,3,3],[[1,2,3,4,11],[1,2,3,6,9]])
([11,9,8,8,5,4,4,3,3,3,3,3,3,3],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,7,8]])
([11,9,8,6,6,5,4,4,3,3,3,3,3,2],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,6]])
([11,9,8,5,5,5,5,5,4,4,3,2,2,2],[[1,2,3,4,11],[1,2,3,5,9],[1,2,4,5,8]])
([11,9,7,7,5,5,5,4,4,3,3,3,2,2],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,7]])
([11,9,7,6,6,5,5,4,4,3,3,3,3,1],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,6,7],[1,3,4,5,6]])
([11,9,7,6,5,5,5,5,4,4,3,3,2,1],[[1,2,3,4,11],[1,2,3,5,9],[1,2,4,5,7],[1,3,4,5,6]])
([11,9,6,6,6,5,5,5,4,4,3,3,3],[[1,2,3,4,11],[1,2,3,5,9],[2,3,4,5,6]])
([11,8,8,8,6,4,4,4,3,3,3,3,3,2],[[1,2,3,4,11],[1,2,3,7,8],[1,2,4,5,6]])
([11,8,8,7,6,5,4,4,4,3,3,3,2,2],[[1,2,3,4,11],[1,2,3,6,8],[1,2,4,5,7]])
([11,8,8,7,5,5,5,4,4,4,3,2,2,2],[[1,2,3,4,11],[1,2,3,6,7],[1,2,4,5,8]])
([11,8,8,6,6,6,4,4,4,3,3,3,3,1],[[1,2,3,4,11],[1,2,3,6,8],[1,3,4,5,6]])
([11,8,8,6,5,5,5,5,4,4,4,2,2,1],[[1,2,3,4,11],[1,2,4,5,8],[1,3,4,5,6]])
([11,8,7,7,7,5,4,4,4,4,3,2,2,2],[[1,2,3,4,11],[1,2,3,5,8],[1,2,4,6,7]])
([11,8,7,7,6,5,5,4,4,4,3,3,2,1],[[1,2,3,4,11],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([11,8,7,7,5,5,5,5,4,4,4,3,1,1],[[1,2,3,4,11],[1,2,3,5,8],[1,3,4,5,7]])
([11,8,7,6,6,6,5,4,4,4,3,3,3],[[1,2,3,4,11],[1,2,3,5,8],[1,2,3,6,7],[2,3,4,5,6]])
([11,8,7,6,6,5,5,5,4,4,4,3,2],[[1,2,3,4,11],[1,2,3,5,8],[1,2,4,5,7],[2,3,4,5,6]])
([11,7,7,7,7,7,4,4,4,4,2,2,2,2],[[1,2,3,4,11],[1,2,5,6,7]])
([11,7,7,7,7,6,4,4,4,4,4,2,2,1],[[1,2,3,4,11],[1,2,4,6,7],[1,3,4,5,6]])
([11,7,7,7,7,5,5,4,4,4,4,3,1,1],[[1,2,3,4,11],[1,2,3,6,7],[1,3,4,5,7]])
([11,7,7,7,6,6,5,4,4,4,4,3,2],[[1,2,3,4,11],[1,2,3,6,7],[1,2,4,5,7],[2,3,4,5,6]])
([11,7,7,7,6,5,5,5,4,4,4,4,1],[[1,2,3,4,11],[1,3,4,5,7],[2,3,4,5,6]])
([10,10,9,6,6,5,3,3,3,3,3,3,3,3],[[1,2,3,5,10],[1,2,3,6,9]])
([10,10,8,8,5,5,3,3,3,3,3,3,3,3],[[1,2,3,5,10],[1,2,3,7,8]])
([10,10,8,6,6,5,5,3,3,3,3,3,3,2],[[1,2,3,5,10],[1,2,3,6,8],[1,2,4,5,6]])
([10,10,8,5,5,5,5,5,5,3,3,2,2,2],[[1,2,3,5,10],[1,2,4,5,8]])
([10,10,7,7,5,5,5,5,3,3,3,3,2,2],[[1,2,3,5,10],[1,2,3,6,7],[1,2,4,5,7]])
([10,10,7,6,6,5,5,5,3,3,3,3,3,1],[[1,2,3,5,10],[1,2,3,6,7],[1,3,4,5,6]])
([10,10,7,6,5,5,5,5,5,3,3,3,2,1],[[1,2,3,5,10],[1,2,4,5,7],[1,3,4,5,6]])
([10,10,6,6,6,5,5,5,5,3,3,3,3],[[1,2,3,5,10],[2,3,4,5,6]])
([10,9,9,8,6,4,3,3,3,3,3,3,3,3],[[1,2,3,4,10],[1,2,3,6,9],[1,2,3,7,8]])
([10,9,9,6,6,6,4,3,3,3,3,3,3,2],[[1,2,3,4,10],[1,2,3,6,9],[1,2,4,5,6]])
([10,9,9,5,5,5,5,5,5,4,2,2,2,2],[[1,2,3,4,10],[1,2,4,5,9]])
([10,9,8,8,6,5,4,3,3,3,3,3,3,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,7,8],[1,2,4,5,6]])
([10,9,8,7,6,5,5,4,3,3,3,3,2,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,7]])
([10,9,8,7,5,5,5,5,4,3,3,2,2,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,8]])
([10,9,8,6,6,6,5,4,3,3,3,3,3,1],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,8],[1,3,4,5,6]])
([10,9,8,6,5,5,5,5,5,4,3,2,2,1],[[1,2,3,4,10],[1,2,3,5,9],[1,2,4,5,8],[1,3,4,5,6]])
([10,9,7,7,7,5,5,4,4,3,3,2,2,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,4,6,7]])
([10,9,7,7,6,5,5,5,4,3,3,3,2,1],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([10,9,7,7,5,5,5,5,5,4,3,3,1,1],[[1,2,3,4,10],[1,2,3,5,9],[1,3,4,5,7]])
([10,9,7,6,6,6,5,5,4,3,3,3,3],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,7],[2,3,4,5,6]])
([10,9,7,6,6,5,5,5,5,4,3,3,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,4,5,7],[2,3,4,5,6]])
([10,8,8,8,7,5,4,4,3,3,3,3,2,2],[[1,2,3,4,10],[1,2,3,7,8],[1,2,4,5,7]])
([10,8,8,8,6,6,4,4,3,3,3,3,3,1],[[1,2,3,4,10],[1,2,3,7,8],[1,3,4,5,6]])
([10,8,8,8,6,5,5,4,4,3,3,2,2,2],[[1,2,3,4,10],[1,2,3,6,8],[1,2,4,5,8]])
([10,8,8,7,7,6,4,4,4,3,3,2,2,2],[[1,2,3,4,10],[1,2,3,6,8],[1,2,4,6,7]])
([10,8,8,7,7,5,5,4,4,4,2,2,2,2],[[1,2,3,4,10],[1,2,4,5,8],[1,2,4,6,7]])
([10,8,8,7,6,6,5,4,4,3,3,3,2,1],[[1,2,3,4,10],[1,2,3,6,8],[1,2,4,5,7],[1,3,4,5,6]])
([10,8,8,7,6,5,5,5,4,4,3,2,2,1],[[1,2,3,4,10],[1,2,3,6,7],[1,2,4,5,8],[1,3,4,5,6]])
([10,8,8,7,5,5,5,5,5,4,4,2,1,1],[[1,2,3,4,10],[1,2,4,5,8],[1,3,4,5,7]])
([10,8,8,6,6,6,6,4,4,3,3,3,3],[[1,2,3,4,10],[1,2,3,6,8],[2,3,4,5,6]])
([10,8,8,6,6,5,5,5,5,4,4,2,2],[[1,2,3,4,10],[1,2,4,5,8],[2,3,4,5,6]])
([10,8,7,7,7,7,5,4,4,3,2,2,2,2],[[1,2,3,4,10],[1,2,3,5,8],[1,2,5,6,7]])
([10,8,7,7,7,6,5,4,4,4,3,2,2,1],[[1,2,3,4,10],[1,2,3,5,8],[1,2,4,6,7],[1,3,4,5,6]])
([10,8,7,7,7,5,5,5,4,4,3,3,1,1],[[1,2,3,4,10],[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,7]])
([10,8,7,7,6,6,5,5,4,4,3,3,2],[[1,2,3,4,10],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7],[2,3,4,5,6]])
([10,8,7,7,6,5,5,5,5,4,4,3,1],[[1,2,3,4,10],[1,2,3,5,8],[1,3,4,5,7],[2,3,4,5,6]])
([10,7,7,7,7,7,6,4,4,4,2,2,2,1],[[1,2,3,4,10],[1,2,5,6,7],[1,3,4,5,6]])
([10,7,7,7,7,7,5,4,4,4,4,2,1,1],[[1,2,3,4,10],[1,2,4,6,7],[1,3,4,5,7]])
([10,7,7,7,7,6,6,4,4,4,4,2,2],[[1,2,3,4,10],[1,2,4,6,7],[2,3,4,5,6]])
([10,7,7,7,7,6,5,5,4,4,4,3,1],[[1,2,3,4,10],[1,2,3,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([10,7,7,7,7,5,5,5,5,4,4,4],[[1,2,3,4,10],[2,3,4,5,7]])
([9,9,9,9,7,3,3,3,3,3,3,3,3,3],[[1,2,3,7,9]])
([9,9,9,8,6,6,3,3,3,3,3,3,3,2],[[1,2,3,6,9],[1,2,3,7,8],[1,2,4,5,6]])
([9,9,9,7,6,6,5,3,3,3,3,3,2,2],[[1,2,3,6,9],[1,2,4,5,7]])
([9,9,9,7,5,5,5,5,5,3,2,2,2,2],[[1,2,3,6,7],[1,2,4,5,9]])
([9,9,9,6,6,6,6,3,3,3,3,3,3,1],[[1,2,3,6,9],[1,3,4,5,6]])
([9,9,9,6,5,5,5,5,5,5,2,2,2,1],[[1,2,4,5,9],[1,3,4,5,6]])
([9,9,8,8,7,5,5,3,3,3,3,3,2,2],[[1,2,3,5,9],[1,2,3,7,8],[1,2,4,5,7]])
([9,9,8,8,6,6,5,3,3,3,3,3,3,1],[[1,2,3,5,9],[1,2,3,7,8],[1,3,4,5,6]])
([9,9,8,8,6,5,5,5,3,3,3,2,2,2],[[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,8]])
([9,9,8,7,7,6,5,4,3,3,3,2,2,2],[[1,2,3,5,9],[1,2,3,6,8],[1,2,4,6,7]])
([9,9,8,7,7,5,5,5,4,3,2,2,2,2],[[1,2,3,5,9],[1,2,4,5,8],[1,2,4,6,7]])
([9,9,8,7,6,6,5,5,3,3,3,3,2,1],[[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,7],[1,3,4,5,6]])
([9,9,8,7,6,5,5,5,5,3,3,2,2,1],[[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,8],[1,3,4,5,6]])
([9,9,8,7,5,5,5,5,5,5,3,2,1,1],[[1,2,3,5,9],[1,2,4,5,8],[1,3,4,5,7]])
([9,9,8,6,6,6,6,5,3,3,3,3,3],[[1,2,3,5,9],[1,2,3,6,8],[2,3,4,5,6]])
([9,9,8,6,6,5,5,5,5,5,3,2,2],[[1,2,3,5,9],[1,2,4,5,8],[2,3,4,5,6]])
([9,9,7,7,7,7,5,5,3,3,2,2,2,2],[[1,2,3,5,9],[1,2,5,6,7]])
([9,9,7,7,7,6,5,5,4,3,3,2,2,1],[[1,2,3,5,9],[1,2,4,6,7],[1,3,4,5,6]])
([9,9,7,7,7,5,5,5,5,3,3,3,1,1],[[1,2,3,5,9],[1,2,3,6,7],[1,3,4,5,7]])
([9,9,7,7,6,6,5,5,5,3,3,3,2],[[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,7],[2,3,4,5,6]])
([9,9,7,7,6,5,5,5,5,5,3,3,1],[[1,2,3,5,9],[1,3,4,5,7],[2,3,4,5,6]])
([9,8,8,8,8,5,5,4,3,3,3,2,2,2],[[1,2,3,4,9],[1,2,3,7,8],[1,2,4,5,8]])
([9,8,8,8,7,7,4,4,3,3,3,2,2,2],[[1,2,3,4,9],[1,2,3,7,8],[1,2,4,6,7]])
([9,8,8,8,7,6,5,4,4,3,2,2,2,2],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,5,8],[1,2,4,6,7]])
([9,8,8,8,7,6,5,4,3,3,3,3,2,1],[[1,2,3,4,9],[1,2,3,7,8],[1,2,4,5,7],[1,3,4,5,6]])
([9,8,8,8,6,6,6,4,3,3,3,3,3],[[1,2,3,4,9],[1,2,3,7,8],[2,3,4,5,6]])
([9,8,8,8,6,6,5,5,4,3,3,2,2,1],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,5,8],[1,3,4,5,6]])
([9,8,8,8,5,5,5,5,5,5,4,1,1,1],[[1,2,3,4,9],[1,3,4,5,8]])
([9,8,8,7,7,7,6,4,3,3,2,2,2,2],[[1,2,3,4,9],[1,2,3,6,8],[1,2,5,6,7]])
([9,8,8,7,7,7,5,5,4,2,2,2,2,2],[[1,2,3,4,9],[1,2,4,5,8],[1,2,5,6,7]])
([9,8,8,7,7,6,6,4,4,3,3,2,2,1],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,6,7],[1,3,4,5,6]])
([9,8,8,7,7,6,5,5,4,4,2,2,2,1],[[1,2,3,4,9],[1,2,4,5,8],[1,2,4,6,7],[1,3,4,5,6]])
([9,8,8,7,7,6,5,5,4,3,3,3,1,1],[[1,2,3,4,9],[1,2,3,6,8],[1,3,4,5,7]])
([9,8,8,7,7,5,5,5,5,4,3,2,1,1],[[1,2,3,4,9],[1,2,3,6,7],[1,2,4,5,8],[1,3,4,5,7]])
([9,8,8,7,6,6,6,5,4,3,3,3,2],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,5,7],[2,3,4,5,6]])
([9,8,8,7,6,6,5,5,5,4,3,2,2],[[1,2,3,4,9],[1,2,3,6,7],[1,2,4,5,8],[2,3,4,5,6]])
([9,8,8,7,6,5,5,5,5,5,4,2,1],[[1,2,3,4,9],[1,2,4,5,8],[1,3,4,5,7],[2,3,4,5,6]])
([9,8,7,7,7,7,6,5,4,3,2,2,2,1],[[1,2,3,4,9],[1,2,3,5,8],[1,2,5,6,7],[1,3,4,5,6]])
([9,8,7,7,7,7,5,5,4,4,3,2,1,1],[[1,2,3,4,9],[1,2,3,5,8],[1,2,4,6,7],[1,3,4,5,7]])
([9,8,7,7,7,6,6,5,4,4,3,2,2],[[1,2,3,4,9],[1,2,3,5,8],[1,2,4,6,7],[2,3,4,5,6]])
([9,8,7,7,7,6,5,5,5,4,3,3,1],[[1,2,3,4,9],[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([9,8,7,7,7,5,5,5,5,5,4,3],[[1,2,3,4,9],[1,2,3,5,8],[2,3,4,5,7]])
([9,7,7,7,7,7,7,5,4,4,2,2,1,1],[[1,2,3,4,9],[1,2,5,6,7],[1,3,4,5,7]])
([9,7,7,7,7,7,7,4,4,4,4,1,1,1],[[1,2,3,4,9],[1,3,4,6,7]])
([9,7,7,7,7,7,6,6,4,4,2,2,2],[[1,2,3,4,9],[1,2,5,6,7],[2,3,4,5,6]])
([9,7,7,7,7,7,6,5,4,4,4,2,1],[[1,2,3,4,9],[1,2,4,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([9,7,7,7,7,7,5,5,5,4,4,3],[[1,2,3,4,9],[1,2,3,6,7],[2,3,4,5,7]])
([8,8,8,8,8,7,5,4,3,3,2,2,2,2],[[1,2,3,7,8],[1,2,4,5,8],[1,2,4,6,7]])
([8,8,8,8,8,6,6,4,4,2,2,2,2,2],[[1,2,4,6,8]])
([8,8,8,8,8,6,5,5,3,3,3,2,2,1],[[1,2,3,7,8],[1,2,4,5,8],[1,3,4,5,6]])
([8,8,8,8,7,7,7,3,3,3,2,2,2,2],[[1,2,3,7,8],[1,2,5,6,7]])
([8,8,8,8,7,7,6,5,3,2,2,2,2,2],[[1,2,3,6,8],[1,2,4,5,8],[1,2,5,6,7]])
([8,8,8,8,7,7,6,4,3,3,3,2,2,1],[[1,2,3,7,8],[1,2,4,6,7],[1,3,4,5,6]])
([8,8,8,8,7,7,5,5,3,3,3,3,1,1],[[1,2,3,7,8],[1,3,4,5,7]])
([8,8,8,8,7,6,6,5,4,3,2,2,2,1],[[1,2,3,6,8],[1,2,4,5,8],[1,2,4,6,7],[1,3,4,5,6]])
([8,8,8,8,7,6,6,5,3,3,3,3,2],[[1,2,3,7,8],[1,2,4,5,7],[2,3,4,5,6]])
([8,8,8,8,7,6,5,5,5,3,3,2,1,1],[[1,2,3,6,8],[1,2,4,5,8],[1,3,4,5,7]])
([8,8,8,8,7,5,5,5,5,5,3,1,1,1],[[1,2,3,6,7],[1,3,4,5,8]])
([8,8,8,8,6,6,6,5,5,3,3,2,2],[[1,2,3,6,8],[1,2,4,5,8],[2,3,4,5,6]])
([8,8,8,8,6,5,5,5,5,5,5,1,1],[[1,3,4,5,8],[2,3,4,5,6]])
([8,8,8,7,7,7,6,6,3,3,2,2,2,1],[[1,2,3,6,8],[1,2,5,6,7],[1,3,4,5,6]])
([8,8,8,7,7,7,6,5,5,2,2,2,2,1],[[1,2,4,5,8],[1,2,5,6,7],[1,3,4,5,6]])
([8,8,8,7,7,7,6,5,4,3,3,2,1,1],[[1,2,3,6,8],[1,2,4,6,7],[1,3,4,5,7]])
([8,8,8,7,7,7,5,5,5,4,2,2,1,1],[[1,2,4,5,8],[1,2,4,6,7],[1,3,4,5,7]])
([8,8,8,7,7,6,6,6,4,3,3,2,2],[[1,2,3,6,8],[1,2,4,6,7],[2,3,4,5,6]])
([8,8,8,7,7,6,6,5,5,4,2,2,2],[[1,2,4,5,8],[1,2,4,6,7],[2,3,4,5,6]])
([8,8,8,7,7,6,6,5,5,3,3,3,1],[[1,2,3,6,8],[1,3,4,5,7],[2,3,4,5,6]])
([8,8,8,7,7,6,5,5,5,5,3,2,1],[[1,2,3,6,7],[1,2,4,5,8],[1,3,4,5,7],[2,3,4,5,6]])
([8,8,8,7,7,5,5,5,5,5,5,2],[[1,2,4,5,8],[2,3,4,5,7]])
([8,8,7,7,7,7,7,5,5,3,2,2,1,1],[[1,2,3,5,8],[1,2,5,6,7],[1,3,4,5,7]])
([8,8,7,7,7,7,7,5,4,4,3,1,1,1],[[1,2,3,5,8],[1,3,4,6,7]])
([8,8,7,7,7,7,6,6,5,3,2,2,2],[[1,2,3,5,8],[1,2,5,6,7],[2,3,4,5,6]])
([8,8,7,7,7,7,6,5,5,4,3,2,1],[[1,2,3,5,8],[1,2,4,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([8,8,7,7,7,7,5,5,5,5,3,3],[[1,2,3,5,8],[1,2,3,6,7],[2,3,4,5,7]])
([8,7,7,7,7,7,7,7,4,4,2,1,1,1],[[1,2,3,4,8],[1,2,5,6,7],[1,3,4,6,7]])
([8,7,7,7,7,7,7,6,5,4,2,2,1],[[1,2,3,4,8],[1,2,5,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([8,7,7,7,7,7,7,6,4,4,4,1,1],[[1,2,3,4,8],[1,3,4,6,7],[2,3,4,5,6]])
([8,7,7,7,7,7,7,5,5,4,4,2],[[1,2,3,4,8],[1,2,4,6,7],[2,3,4,5,7]])
([7,7,7,7,7,7,7,7,7,3,1,1,1,1],[[1,3,5,6,7]])
([7,7,7,7,7,7,7,7,6,4,2,1,1],[[1,2,5,6,7],[1,3,4,6,7],[2,3,4,5,6]])
([7,7,7,7,7,7,7,7,5,5,2,2],[[1,2,5,6,7],[2,3,4,5,7]])
([7,7,7,7,7,7,7,7,5,4,4,1],[[1,3,4,6,7],[2,3,4,5,7]])




n = 15
([19,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[[1,2,3,4,19]])
([18,6,4,4,4,4,4,4,4,4,4,4,4,4,3],[[1,2,3,4,18],[1,2,3,5,6]])
([17,7,5,4,4,4,4,4,4,4,4,4,4,3,3],[[1,2,3,4,17],[1,2,3,5,7]])
([17,6,6,4,4,4,4,4,4,4,4,4,4,4,2],[[1,2,3,4,17],[1,2,4,5,6]])
([16,8,5,5,4,4,4,4,4,4,4,4,3,3,3],[[1,2,3,4,16],[1,2,3,5,8]])
([16,7,7,4,4,4,4,4,4,4,4,4,3,3,3],[[1,2,3,4,16],[1,2,3,6,7]])
([16,7,6,5,4,4,4,4,4,4,4,4,4,3,2],[[1,2,3,4,16],[1,2,3,5,7],[1,2,4,5,6]])
([16,6,6,6,4,4,4,4,4,4,4,4,4,4,1],[[1,2,3,4,16],[1,3,4,5,6]])
([15,9,5,5,5,4,4,4,4,4,4,3,3,3,3],[[1,2,3,4,15],[1,2,3,5,9]])
([15,8,7,5,4,4,4,4,4,4,4,3,3,3,3],[[1,2,3,4,15],[1,2,3,5,8],[1,2,3,6,7]])
([15,8,6,5,5,4,4,4,4,4,4,4,3,3,2],[[1,2,3,4,15],[1,2,3,5,8],[1,2,4,5,6]])
([15,7,7,6,4,4,4,4,4,4,4,4,3,3,2],[[1,2,3,4,15],[1,2,3,6,7],[1,2,4,5,6]])
([15,7,7,5,5,4,4,4,4,4,4,4,4,2,2],[[1,2,3,4,15],[1,2,4,5,7]])
([15,7,6,6,5,4,4,4,4,4,4,4,4,3,1],[[1,2,3,4,15],[1,2,3,5,7],[1,3,4,5,6]])
([15,6,6,6,6,4,4,4,4,4,4,4,4,4],[[1,2,3,4,15],[2,3,4,5,6]])
([14,10,5,5,5,5,4,4,4,4,3,3,3,3,3],[[1,2,3,4,14],[1,2,3,5,10]])
([14,9,7,5,5,4,4,4,4,4,3,3,3,3,3],[[1,2,3,4,14],[1,2,3,5,9],[1,2,3,6,7]])
([14,9,6,5,5,5,4,4,4,4,4,3,3,3,2],[[1,2,3,4,14],[1,2,3,5,9],[1,2,4,5,6]])
([14,8,8,6,4,4,4,4,4,4,3,3,3,3,3],[[1,2,3,4,14],[1,2,3,6,8]])
([14,8,7,6,5,4,4,4,4,4,4,3,3,3,2],[[1,2,3,4,14],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,6]])
([14,8,7,5,5,5,4,4,4,4,4,4,3,2,2],[[1,2,3,4,14],[1,2,3,5,8],[1,2,4,5,7]])
([14,8,6,6,5,5,4,4,4,4,4,4,3,3,1],[[1,2,3,4,14],[1,2,3,5,8],[1,3,4,5,6]])
([14,7,7,7,5,4,4,4,4,4,4,4,3,2,2],[[1,2,3,4,14],[1,2,3,6,7],[1,2,4,5,7]])
([14,7,7,6,6,4,4,4,4,4,4,4,3,3,1],[[1,2,3,4,14],[1,2,3,6,7],[1,3,4,5,6]])
([14,7,7,6,5,5,4,4,4,4,4,4,4,2,1],[[1,2,3,4,14],[1,2,4,5,7],[1,3,4,5,6]])
([14,7,6,6,6,5,4,4,4,4,4,4,4,3],[[1,2,3,4,14],[1,2,3,5,7],[2,3,4,5,6]])
([13,11,5,5,5,5,5,4,4,3,3,3,3,3,3],[[1,2,3,4,13],[1,2,3,5,11]])
([13,10,7,5,5,5,4,4,4,3,3,3,3,3,3],[[1,2,3,4,13],[1,2,3,5,10],[1,2,3,6,7]])
([13,10,6,5,5,5,5,4,4,4,3,3,3,3,2],[[1,2,3,4,13],[1,2,3,5,10],[1,2,4,5,6]])
([13,9,8,6,5,4,4,4,4,3,3,3,3,3,3],[[1,2,3,4,13],[1,2,3,5,9],[1,2,3,6,8]])
([13,9,7,6,5,5,4,4,4,4,3,3,3,3,2],[[1,2,3,4,13],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,6]])
([13,9,7,5,5,5,5,4,4,4,4,3,3,2,2],[[1,2,3,4,13],[1,2,3,5,9],[1,2,4,5,7]])
([13,9,6,6,5,5,5,4,4,4,4,3,3,3,1],[[1,2,3,4,13],[1,2,3,5,9],[1,3,4,5,6]])
([13,8,8,8,4,4,4,4,4,3,3,3,3,3,3],[[1,2,3,4,13],[1,2,3,7,8]])
([13,8,8,6,6,4,4,4,4,4,3,3,3,3,2],[[1,2,3,4,13],[1,2,3,6,8],[1,2,4,5,6]])
([13,8,8,5,5,5,5,4,4,4,4,4,2,2,2],[[1,2,3,4,13],[1,2,4,5,8]])
([13,8,7,7,5,5,4,4,4,4,4,3,3,2,2],[[1,2,3,4,13],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7]])
([13,8,7,6,6,5,4,4,4,4,4,3,3,3,1],[[1,2,3,4,13],[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,6]])
([13,8,7,6,5,5,5,4,4,4,4,4,3,2,1],[[1,2,3,4,13],[1,2,3,5,8],[1,2,4,5,7],[1,3,4,5,6]])
([13,8,6,6,6,5,5,4,4,4,4,4,3,3],[[1,2,3,4,13],[1,2,3,5,8],[2,3,4,5,6]])
([13,7,7,7,7,4,4,4,4,4,4,4,2,2,2],[[1,2,3,4,13],[1,2,4,6,7]])
([13,7,7,7,6,5,4,4,4,4,4,4,3,2,1],[[1,2,3,4,13],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([13,7,7,7,5,5,5,4,4,4,4,4,4,1,1],[[1,2,3,4,13],[1,3,4,5,7]])
([13,7,7,6,6,6,4,4,4,4,4,4,3,3],[[1,2,3,4,13],[1,2,3,6,7],[2,3,4,5,6]])
([13,7,7,6,6,5,5,4,4,4,4,4,4,2],[[1,2,3,4,13],[1,2,4,5,7],[2,3,4,5,6]])
([12,12,5,5,5,5,5,5,3,3,3,3,3,3,3],[[1,2,3,5,12]])
([12,11,7,5,5,5,5,4,3,3,3,3,3,3,3],[[1,2,3,4,12],[1,2,3,5,11],[1,2,3,6,7]])
([12,11,6,5,5,5,5,5,4,3,3,3,3,3,2],[[1,2,3,4,12],[1,2,3,5,11],[1,2,4,5,6]])
([12,10,8,6,5,5,4,4,3,3,3,3,3,3,3],[[1,2,3,4,12],[1,2,3,5,10],[1,2,3,6,8]])
([12,10,7,6,5,5,5,4,4,3,3,3,3,3,2],[[1,2,3,4,12],[1,2,3,5,10],[1,2,3,6,7],[1,2,4,5,6]])
([12,10,7,5,5,5,5,5,4,4,3,3,3,2,2],[[1,2,3,4,12],[1,2,3,5,10],[1,2,4,5,7]])
([12,10,6,6,5,5,5,5,4,4,3,3,3,3,1],[[1,2,3,4,12],[1,2,3,5,10],[1,3,4,5,6]])
([12,9,9,6,6,4,4,4,3,3,3,3,3,3,3],[[1,2,3,4,12],[1,2,3,6,9]])
([12,9,8,8,5,4,4,4,3,3,3,3,3,3,3],[[1,2,3,4,12],[1,2,3,5,9],[1,2,3,7,8]])
([12,9,8,6,6,5,4,4,4,3,3,3,3,3,2],[[1,2,3,4,12],[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,6]])
([12,9,8,5,5,5,5,5,4,4,4,3,2,2,2],[[1,2,3,4,12],[1,2,3,5,9],[1,2,4,5,8]])
([12,9,7,7,5,5,5,4,4,4,3,3,3,2,2],[[1,2,3,4,12],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,7]])
([12,9,7,6,6,5,5,4,4,4,3,3,3,3,1],[[1,2,3,4,12],[1,2,3,5,9],[1,2,3,6,7],[1,3,4,5,6]])
([12,9,7,6,5,5,5,5,4,4,4,3,3,2,1],[[1,2,3,4,12],[1,2,3,5,9],[1,2,4,5,7],[1,3,4,5,6]])
([12,9,6,6,6,5,5,5,4,4,4,3,3,3],[[1,2,3,4,12],[1,2,3,5,9],[2,3,4,5,6]])
([12,8,8,8,6,4,4,4,4,3,3,3,3,3,2],[[1,2,3,4,12],[1,2,3,7,8],[1,2,4,5,6]])
([12,8,8,7,6,5,4,4,4,4,3,3,3,2,2],[[1,2,3,4,12],[1,2,3,6,8],[1,2,4,5,7]])
([12,8,8,7,5,5,5,4,4,4,4,3,2,2,2],[[1,2,3,4,12],[1,2,3,6,7],[1,2,4,5,8]])
([12,8,8,6,6,6,4,4,4,4,3,3,3,3,1],[[1,2,3,4,12],[1,2,3,6,8],[1,3,4,5,6]])
([12,8,8,6,5,5,5,5,4,4,4,4,2,2,1],[[1,2,3,4,12],[1,2,4,5,8],[1,3,4,5,6]])
([12,8,7,7,7,5,4,4,4,4,4,3,2,2,2],[[1,2,3,4,12],[1,2,3,5,8],[1,2,4,6,7]])
([12,8,7,7,6,5,5,4,4,4,4,3,3,2,1],[[1,2,3,4,12],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([12,8,7,7,5,5,5,5,4,4,4,4,3,1,1],[[1,2,3,4,12],[1,2,3,5,8],[1,3,4,5,7]])
([12,8,7,6,6,6,5,4,4,4,4,3,3,3],[[1,2,3,4,12],[1,2,3,5,8],[1,2,3,6,7],[2,3,4,5,6]])
([12,8,7,6,6,5,5,5,4,4,4,4,3,2],[[1,2,3,4,12],[1,2,3,5,8],[1,2,4,5,7],[2,3,4,5,6]])
([12,7,7,7,7,7,4,4,4,4,4,2,2,2,2],[[1,2,3,4,12],[1,2,5,6,7]])
([12,7,7,7,7,6,4,4,4,4,4,4,2,2,1],[[1,2,3,4,12],[1,2,4,6,7],[1,3,4,5,6]])
([12,7,7,7,7,5,5,4,4,4,4,4,3,1,1],[[1,2,3,4,12],[1,2,3,6,7],[1,3,4,5,7]])
([12,7,7,7,6,6,5,4,4,4,4,4,3,2],[[1,2,3,4,12],[1,2,3,6,7],[1,2,4,5,7],[2,3,4,5,6]])
([12,7,7,7,6,5,5,5,4,4,4,4,4,1],[[1,2,3,4,12],[1,3,4,5,7],[2,3,4,5,6]])
([11,11,8,6,5,5,5,3,3,3,3,3,3,3,3],[[1,2,3,5,11],[1,2,3,6,8]])
([11,11,7,6,5,5,5,5,3,3,3,3,3,3,2],[[1,2,3,5,11],[1,2,3,6,7],[1,2,4,5,6]])
([11,11,7,5,5,5,5,5,5,3,3,3,3,2,2],[[1,2,3,5,11],[1,2,4,5,7]])
([11,11,6,6,5,5,5,5,5,3,3,3,3,3,1],[[1,2,3,5,11],[1,3,4,5,6]])
([11,10,9,6,6,5,4,3,3,3,3,3,3,3,3],[[1,2,3,4,11],[1,2,3,5,10],[1,2,3,6,9]])
([11,10,8,8,5,5,4,3,3,3,3,3,3,3,3],[[1,2,3,4,11],[1,2,3,5,10],[1,2,3,7,8]])
([11,10,8,6,6,5,5,4,3,3,3,3,3,3,2],[[1,2,3,4,11],[1,2,3,5,10],[1,2,3,6,8],[1,2,4,5,6]])
([11,10,8,5,5,5,5,5,5,4,3,3,2,2,2],[[1,2,3,4,11],[1,2,3,5,10],[1,2,4,5,8]])
([11,10,7,7,5,5,5,5,4,3,3,3,3,2,2],[[1,2,3,4,11],[1,2,3,5,10],[1,2,3,6,7],[1,2,4,5,7]])
([11,10,7,6,6,5,5,5,4,3,3,3,3,3,1],[[1,2,3,4,11],[1,2,3,5,10],[1,2,3,6,7],[1,3,4,5,6]])
([11,10,7,6,5,5,5,5,5,4,3,3,3,2,1],[[1,2,3,4,11],[1,2,3,5,10],[1,2,4,5,7],[1,3,4,5,6]])
([11,10,6,6,6,5,5,5,5,4,3,3,3,3],[[1,2,3,4,11],[1,2,3,5,10],[2,3,4,5,6]])
([11,9,9,8,6,4,4,3,3,3,3,3,3,3,3],[[1,2,3,4,11],[1,2,3,6,9],[1,2,3,7,8]])
([11,9,9,6,6,6,4,4,3,3,3,3,3,3,2],[[1,2,3,4,11],[1,2,3,6,9],[1,2,4,5,6]])
([11,9,9,5,5,5,5,5,5,4,4,2,2,2,2],[[1,2,3,4,11],[1,2,4,5,9]])
([11,9,8,8,6,5,4,4,3,3,3,3,3,3,2],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,7,8],[1,2,4,5,6]])
([11,9,8,7,6,5,5,4,4,3,3,3,3,2,2],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,7]])
([11,9,8,7,5,5,5,5,4,4,3,3,2,2,2],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,8]])
([11,9,8,6,6,6,5,4,4,3,3,3,3,3,1],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,6,8],[1,3,4,5,6]])
([11,9,8,6,5,5,5,5,5,4,4,3,2,2,1],[[1,2,3,4,11],[1,2,3,5,9],[1,2,4,5,8],[1,3,4,5,6]])
([11,9,7,7,7,5,5,4,4,4,3,3,2,2,2],[[1,2,3,4,11],[1,2,3,5,9],[1,2,4,6,7]])
([11,9,7,7,6,5,5,5,4,4,3,3,3,2,1],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([11,9,7,7,5,5,5,5,5,4,4,3,3,1,1],[[1,2,3,4,11],[1,2,3,5,9],[1,3,4,5,7]])
([11,9,7,6,6,6,5,5,4,4,3,3,3,3],[[1,2,3,4,11],[1,2,3,5,9],[1,2,3,6,7],[2,3,4,5,6]])
([11,9,7,6,6,5,5,5,5,4,4,3,3,2],[[1,2,3,4,11],[1,2,3,5,9],[1,2,4,5,7],[2,3,4,5,6]])
([11,8,8,8,7,5,4,4,4,3,3,3,3,2,2],[[1,2,3,4,11],[1,2,3,7,8],[1,2,4,5,7]])
([11,8,8,8,6,6,4,4,4,3,3,3,3,3,1],[[1,2,3,4,11],[1,2,3,7,8],[1,3,4,5,6]])
([11,8,8,8,6,5,5,4,4,4,3,3,2,2,2],[[1,2,3,4,11],[1,2,3,6,8],[1,2,4,5,8]])
([11,8,8,7,7,6,4,4,4,4,3,3,2,2,2],[[1,2,3,4,11],[1,2,3,6,8],[1,2,4,6,7]])
([11,8,8,7,7,5,5,4,4,4,4,2,2,2,2],[[1,2,3,4,11],[1,2,4,5,8],[1,2,4,6,7]])
([11,8,8,7,6,6,5,4,4,4,3,3,3,2,1],[[1,2,3,4,11],[1,2,3,6,8],[1,2,4,5,7],[1,3,4,5,6]])
([11,8,8,7,6,5,5,5,4,4,4,3,2,2,1],[[1,2,3,4,11],[1,2,3,6,7],[1,2,4,5,8],[1,3,4,5,6]])
([11,8,8,7,5,5,5,5,5,4,4,4,2,1,1],[[1,2,3,4,11],[1,2,4,5,8],[1,3,4,5,7]])
([11,8,8,6,6,6,6,4,4,4,3,3,3,3],[[1,2,3,4,11],[1,2,3,6,8],[2,3,4,5,6]])
([11,8,8,6,6,5,5,5,5,4,4,4,2,2],[[1,2,3,4,11],[1,2,4,5,8],[2,3,4,5,6]])
([11,8,7,7,7,7,5,4,4,4,3,2,2,2,2],[[1,2,3,4,11],[1,2,3,5,8],[1,2,5,6,7]])
([11,8,7,7,7,6,5,4,4,4,4,3,2,2,1],[[1,2,3,4,11],[1,2,3,5,8],[1,2,4,6,7],[1,3,4,5,6]])
([11,8,7,7,7,5,5,5,4,4,4,3,3,1,1],[[1,2,3,4,11],[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,7]])
([11,8,7,7,6,6,5,5,4,4,4,3,3,2],[[1,2,3,4,11],[1,2,3,5,8],[1,2,3,6,7],[1,2,4,5,7],[2,3,4,5,6]])
([11,8,7,7,6,5,5,5,5,4,4,4,3,1],[[1,2,3,4,11],[1,2,3,5,8],[1,3,4,5,7],[2,3,4,5,6]])
([11,7,7,7,7,7,6,4,4,4,4,2,2,2,1],[[1,2,3,4,11],[1,2,5,6,7],[1,3,4,5,6]])
([11,7,7,7,7,7,5,4,4,4,4,4,2,1,1],[[1,2,3,4,11],[1,2,4,6,7],[1,3,4,5,7]])
([11,7,7,7,7,6,6,4,4,4,4,4,2,2],[[1,2,3,4,11],[1,2,4,6,7],[2,3,4,5,6]])
([11,7,7,7,7,6,5,5,4,4,4,4,3,1],[[1,2,3,4,11],[1,2,3,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([11,7,7,7,7,5,5,5,5,4,4,4,4],[[1,2,3,4,11],[2,3,4,5,7]])
([10,10,10,6,6,6,3,3,3,3,3,3,3,3,3],[[1,2,3,6,10]])
([10,10,9,8,6,5,3,3,3,3,3,3,3,3,3],[[1,2,3,5,10],[1,2,3,6,9],[1,2,3,7,8]])
([10,10,9,6,6,6,5,3,3,3,3,3,3,3,2],[[1,2,3,5,10],[1,2,3,6,9],[1,2,4,5,6]])
([10,10,9,5,5,5,5,5,5,5,3,2,2,2,2],[[1,2,3,5,10],[1,2,4,5,9]])
([10,10,8,8,6,5,5,3,3,3,3,3,3,3,2],[[1,2,3,5,10],[1,2,3,7,8],[1,2,4,5,6]])
([10,10,8,7,6,5,5,5,3,3,3,3,3,2,2],[[1,2,3,5,10],[1,2,3,6,8],[1,2,4,5,7]])
([10,10,8,7,5,5,5,5,5,3,3,3,2,2,2],[[1,2,3,5,10],[1,2,3,6,7],[1,2,4,5,8]])
([10,10,8,6,6,6,5,5,3,3,3,3,3,3,1],[[1,2,3,5,10],[1,2,3,6,8],[1,3,4,5,6]])
([10,10,8,6,5,5,5,5,5,5,3,3,2,2,1],[[1,2,3,5,10],[1,2,4,5,8],[1,3,4,5,6]])
([10,10,7,7,7,5,5,5,4,3,3,3,2,2,2],[[1,2,3,5,10],[1,2,4,6,7]])
([10,10,7,7,6,5,5,5,5,3,3,3,3,2,1],[[1,2,3,5,10],[1,2,3,6,7],[1,2,4,5,7],[1,3,4,5,6]])
([10,10,7,7,5,5,5,5,5,5,3,3,3,1,1],[[1,2,3,5,10],[1,3,4,5,7]])
([10,10,7,6,6,6,5,5,5,3,3,3,3,3],[[1,2,3,5,10],[1,2,3,6,7],[2,3,4,5,6]])
([10,10,7,6,6,5,5,5,5,5,3,3,3,2],[[1,2,3,5,10],[1,2,4,5,7],[2,3,4,5,6]])
([10,9,9,9,7,4,3,3,3,3,3,3,3,3,3],[[1,2,3,4,10],[1,2,3,7,9]])
([10,9,9,8,6,6,4,3,3,3,3,3,3,3,2],[[1,2,3,4,10],[1,2,3,6,9],[1,2,3,7,8],[1,2,4,5,6]])
([10,9,9,7,6,6,5,4,3,3,3,3,3,2,2],[[1,2,3,4,10],[1,2,3,6,9],[1,2,4,5,7]])
([10,9,9,7,5,5,5,5,5,4,3,2,2,2,2],[[1,2,3,4,10],[1,2,3,6,7],[1,2,4,5,9]])
([10,9,9,6,6,6,6,4,3,3,3,3,3,3,1],[[1,2,3,4,10],[1,2,3,6,9],[1,3,4,5,6]])
([10,9,9,6,5,5,5,5,5,5,4,2,2,2,1],[[1,2,3,4,10],[1,2,4,5,9],[1,3,4,5,6]])
([10,9,8,8,7,5,5,4,3,3,3,3,3,2,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,7,8],[1,2,4,5,7]])
([10,9,8,8,6,6,5,4,3,3,3,3,3,3,1],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,7,8],[1,3,4,5,6]])
([10,9,8,8,6,5,5,5,4,3,3,3,2,2,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,8]])
([10,9,8,7,7,6,5,4,4,3,3,3,2,2,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,8],[1,2,4,6,7]])
([10,9,8,7,7,5,5,5,4,4,3,2,2,2,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,4,5,8],[1,2,4,6,7]])
([10,9,8,7,6,6,5,5,4,3,3,3,3,2,1],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,7],[1,3,4,5,6]])
([10,9,8,7,6,5,5,5,5,4,3,3,2,2,1],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,8],[1,3,4,5,6]])
([10,9,8,7,5,5,5,5,5,5,4,3,2,1,1],[[1,2,3,4,10],[1,2,3,5,9],[1,2,4,5,8],[1,3,4,5,7]])
([10,9,8,6,6,6,6,5,4,3,3,3,3,3],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,8],[2,3,4,5,6]])
([10,9,8,6,6,5,5,5,5,5,4,3,2,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,4,5,8],[2,3,4,5,6]])
([10,9,7,7,7,7,5,5,4,3,3,2,2,2,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,5,6,7]])
([10,9,7,7,7,6,5,5,4,4,3,3,2,2,1],[[1,2,3,4,10],[1,2,3,5,9],[1,2,4,6,7],[1,3,4,5,6]])
([10,9,7,7,7,5,5,5,5,4,3,3,3,1,1],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,7],[1,3,4,5,7]])
([10,9,7,7,6,6,5,5,5,4,3,3,3,2],[[1,2,3,4,10],[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,7],[2,3,4,5,6]])
([10,9,7,7,6,5,5,5,5,5,4,3,3,1],[[1,2,3,4,10],[1,2,3,5,9],[1,3,4,5,7],[2,3,4,5,6]])
([10,8,8,8,8,5,5,4,4,3,3,3,2,2,2],[[1,2,3,4,10],[1,2,3,7,8],[1,2,4,5,8]])
([10,8,8,8,7,7,4,4,4,3,3,3,2,2,2],[[1,2,3,4,10],[1,2,3,7,8],[1,2,4,6,7]])
([10,8,8,8,7,6,5,4,4,4,3,2,2,2,2],[[1,2,3,4,10],[1,2,3,6,8],[1,2,4,5,8],[1,2,4,6,7]])
([10,8,8,8,7,6,5,4,4,3,3,3,3,2,1],[[1,2,3,4,10],[1,2,3,7,8],[1,2,4,5,7],[1,3,4,5,6]])
([10,8,8,8,6,6,6,4,4,3,3,3,3,3],[[1,2,3,4,10],[1,2,3,7,8],[2,3,4,5,6]])
([10,8,8,8,6,6,5,5,4,4,3,3,2,2,1],[[1,2,3,4,10],[1,2,3,6,8],[1,2,4,5,8],[1,3,4,5,6]])
([10,8,8,8,5,5,5,5,5,5,4,4,1,1,1],[[1,2,3,4,10],[1,3,4,5,8]])
([10,8,8,7,7,7,6,4,4,3,3,2,2,2,2],[[1,2,3,4,10],[1,2,3,6,8],[1,2,5,6,7]])
([10,8,8,7,7,7,5,5,4,4,2,2,2,2,2],[[1,2,3,4,10],[1,2,4,5,8],[1,2,5,6,7]])
([10,8,8,7,7,6,6,4,4,4,3,3,2,2,1],[[1,2,3,4,10],[1,2,3,6,8],[1,2,4,6,7],[1,3,4,5,6]])
([10,8,8,7,7,6,5,5,4,4,4,2,2,2,1],[[1,2,3,4,10],[1,2,4,5,8],[1,2,4,6,7],[1,3,4,5,6]])
([10,8,8,7,7,6,5,5,4,4,3,3,3,1,1],[[1,2,3,4,10],[1,2,3,6,8],[1,3,4,5,7]])
([10,8,8,7,7,5,5,5,5,4,4,3,2,1,1],[[1,2,3,4,10],[1,2,3,6,7],[1,2,4,5,8],[1,3,4,5,7]])
([10,8,8,7,6,6,6,5,4,4,3,3,3,2],[[1,2,3,4,10],[1,2,3,6,8],[1,2,4,5,7],[2,3,4,5,6]])
([10,8,8,7,6,6,5,5,5,4,4,3,2,2],[[1,2,3,4,10],[1,2,3,6,7],[1,2,4,5,8],[2,3,4,5,6]])
([10,8,8,7,6,5,5,5,5,5,4,4,2,1],[[1,2,3,4,10],[1,2,4,5,8],[1,3,4,5,7],[2,3,4,5,6]])
([10,8,7,7,7,7,6,5,4,4,3,2,2,2,1],[[1,2,3,4,10],[1,2,3,5,8],[1,2,5,6,7],[1,3,4,5,6]])
([10,8,7,7,7,7,5,5,4,4,4,3,2,1,1],[[1,2,3,4,10],[1,2,3,5,8],[1,2,4,6,7],[1,3,4,5,7]])
([10,8,7,7,7,6,6,5,4,4,4,3,2,2],[[1,2,3,4,10],[1,2,3,5,8],[1,2,4,6,7],[2,3,4,5,6]])
([10,8,7,7,7,6,5,5,5,4,4,3,3,1],[[1,2,3,4,10],[1,2,3,5,8],[1,2,3,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([10,8,7,7,7,5,5,5,5,5,4,4,3],[[1,2,3,4,10],[1,2,3,5,8],[2,3,4,5,7]])
([10,7,7,7,7,7,7,5,4,4,4,2,2,1,1],[[1,2,3,4,10],[1,2,5,6,7],[1,3,4,5,7]])
([10,7,7,7,7,7,7,4,4,4,4,4,1,1,1],[[1,2,3,4,10],[1,3,4,6,7]])
([10,7,7,7,7,7,6,6,4,4,4,2,2,2],[[1,2,3,4,10],[1,2,5,6,7],[2,3,4,5,6]])
([10,7,7,7,7,7,6,5,4,4,4,4,2,1],[[1,2,3,4,10],[1,2,4,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([10,7,7,7,7,7,5,5,5,4,4,4,3],[[1,2,3,4,10],[1,2,3,6,7],[2,3,4,5,7]])
([9,9,9,9,9,3,3,3,3,3,3,3,3,3,3],[[1,2,3,8,9]])
([9,9,9,9,7,6,3,3,3,3,3,3,3,3,2],[[1,2,3,7,9],[1,2,4,5,6]])
([9,9,9,8,7,6,5,3,3,3,3,3,3,2,2],[[1,2,3,6,9],[1,2,3,7,8],[1,2,4,5,7]])
([9,9,9,8,6,6,6,3,3,3,3,3,3,3,1],[[1,2,3,6,9],[1,2,3,7,8],[1,3,4,5,6]])
([9,9,9,8,6,6,5,5,3,3,3,3,2,2,2],[[1,2,3,6,9],[1,2,4,5,8]])
([9,9,9,8,6,5,5,5,5,3,3,2,2,2,2],[[1,2,3,6,8],[1,2,4,5,9]])
([9,9,9,7,7,6,6,4,3,3,3,3,2,2,2],[[1,2,3,6,9],[1,2,4,6,7]])
([9,9,9,7,7,5,5,5,5,4,2,2,2,2,2],[[1,2,4,5,9],[1,2,4,6,7]])
([9,9,9,7,6,6,6,5,3,3,3,3,3,2,1],[[1,2,3,6,9],[1,2,4,5,7],[1,3,4,5,6]])
([9,9,9,7,6,5,5,5,5,5,3,2,2,2,1],[[1,2,3,6,7],[1,2,4,5,9],[1,3,4,5,6]])
([9,9,9,7,5,5,5,5,5,5,5,2,2,1,1],[[1,2,4,5,9],[1,3,4,5,7]])
([9,9,9,6,6,6,6,6,3,3,3,3,3,3],[[1,2,3,6,9],[2,3,4,5,6]])
([9,9,9,6,6,5,5,5,5,5,5,2,2,2],[[1,2,4,5,9],[2,3,4,5,6]])
([9,9,8,8,8,5,5,5,3,3,3,3,2,2,2],[[1,2,3,5,9],[1,2,3,7,8],[1,2,4,5,8]])
([9,9,8,8,7,7,5,4,3,3,3,3,2,2,2],[[1,2,3,5,9],[1,2,3,7,8],[1,2,4,6,7]])
([9,9,8,8,7,6,5,5,4,3,3,2,2,2,2],[[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,8],[1,2,4,6,7]])
([9,9,8,8,7,6,5,5,3,3,3,3,3,2,1],[[1,2,3,5,9],[1,2,3,7,8],[1,2,4,5,7],[1,3,4,5,6]])
([9,9,8,8,6,6,6,5,3,3,3,3,3,3],[[1,2,3,5,9],[1,2,3,7,8],[2,3,4,5,6]])
([9,9,8,8,6,6,5,5,5,3,3,3,2,2,1],[[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,8],[1,3,4,5,6]])
([9,9,8,8,5,5,5,5,5,5,5,3,1,1,1],[[1,2,3,5,9],[1,3,4,5,8]])
([9,9,8,7,7,7,6,5,3,3,3,2,2,2,2],[[1,2,3,5,9],[1,2,3,6,8],[1,2,5,6,7]])
([9,9,8,7,7,7,5,5,5,3,2,2,2,2,2],[[1,2,3,5,9],[1,2,4,5,8],[1,2,5,6,7]])
([9,9,8,7,7,6,6,5,4,3,3,3,2,2,1],[[1,2,3,5,9],[1,2,3,6,8],[1,2,4,6,7],[1,3,4,5,6]])
([9,9,8,7,7,6,5,5,5,4,3,2,2,2,1],[[1,2,3,5,9],[1,2,4,5,8],[1,2,4,6,7],[1,3,4,5,6]])
([9,9,8,7,7,6,5,5,5,3,3,3,3,1,1],[[1,2,3,5,9],[1,2,3,6,8],[1,3,4,5,7]])
([9,9,8,7,7,5,5,5,5,5,3,3,2,1,1],[[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,8],[1,3,4,5,7]])
([9,9,8,7,6,6,6,5,5,3,3,3,3,2],[[1,2,3,5,9],[1,2,3,6,8],[1,2,4,5,7],[2,3,4,5,6]])
([9,9,8,7,6,6,5,5,5,5,3,3,2,2],[[1,2,3,5,9],[1,2,3,6,7],[1,2,4,5,8],[2,3,4,5,6]])
([9,9,8,7,6,5,5,5,5,5,5,3,2,1],[[1,2,3,5,9],[1,2,4,5,8],[1,3,4,5,7],[2,3,4,5,6]])
([9,9,7,7,7,7,6,5,5,3,3,2,2,2,1],[[1,2,3,5,9],[1,2,5,6,7],[1,3,4,5,6]])
([9,9,7,7,7,7,5,5,5,4,3,3,2,1,1],[[1,2,3,5,9],[1,2,4,6,7],[1,3,4,5,7]])
([9,9,7,7,7,6,6,5,5,4,3,3,2,2],[[1,2,3,5,9],[1,2,4,6,7],[2,3,4,5,6]])
([9,9,7,7,7,6,5,5,5,5,3,3,3,1],[[1,2,3,5,9],[1,2,3,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([9,9,7,7,7,5,5,5,5,5,5,3,3],[[1,2,3,5,9],[2,3,4,5,7]])
([9,8,8,8,8,7,5,4,4,3,3,2,2,2,2],[[1,2,3,4,9],[1,2,3,7,8],[1,2,4,5,8],[1,2,4,6,7]])
([9,8,8,8,8,6,6,4,4,4,2,2,2,2,2],[[1,2,3,4,9],[1,2,4,6,8]])
([9,8,8,8,8,6,5,5,4,3,3,3,2,2,1],[[1,2,3,4,9],[1,2,3,7,8],[1,2,4,5,8],[1,3,4,5,6]])
([9,8,8,8,7,7,7,4,3,3,3,2,2,2,2],[[1,2,3,4,9],[1,2,3,7,8],[1,2,5,6,7]])
([9,8,8,8,7,7,6,5,4,3,2,2,2,2,2],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,5,8],[1,2,5,6,7]])
([9,8,8,8,7,7,6,4,4,3,3,3,2,2,1],[[1,2,3,4,9],[1,2,3,7,8],[1,2,4,6,7],[1,3,4,5,6]])
([9,8,8,8,7,7,5,5,4,3,3,3,3,1,1],[[1,2,3,4,9],[1,2,3,7,8],[1,3,4,5,7]])
([9,8,8,8,7,6,6,5,4,4,3,2,2,2,1],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,5,8],[1,2,4,6,7],[1,3,4,5,6]])
([9,8,8,8,7,6,6,5,4,3,3,3,3,2],[[1,2,3,4,9],[1,2,3,7,8],[1,2,4,5,7],[2,3,4,5,6]])
([9,8,8,8,7,6,5,5,5,4,3,3,2,1,1],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,5,8],[1,3,4,5,7]])
([9,8,8,8,7,5,5,5,5,5,4,3,1,1,1],[[1,2,3,4,9],[1,2,3,6,7],[1,3,4,5,8]])
([9,8,8,8,6,6,6,5,5,4,3,3,2,2],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,5,8],[2,3,4,5,6]])
([9,8,8,8,6,5,5,5,5,5,5,4,1,1],[[1,2,3,4,9],[1,3,4,5,8],[2,3,4,5,6]])
([9,8,8,7,7,7,6,6,4,3,3,2,2,2,1],[[1,2,3,4,9],[1,2,3,6,8],[1,2,5,6,7],[1,3,4,5,6]])
([9,8,8,7,7,7,6,5,5,4,2,2,2,2,1],[[1,2,3,4,9],[1,2,4,5,8],[1,2,5,6,7],[1,3,4,5,6]])
([9,8,8,7,7,7,6,5,4,4,3,3,2,1,1],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,6,7],[1,3,4,5,7]])
([9,8,8,7,7,7,5,5,5,4,4,2,2,1,1],[[1,2,3,4,9],[1,2,4,5,8],[1,2,4,6,7],[1,3,4,5,7]])
([9,8,8,7,7,6,6,6,4,4,3,3,2,2],[[1,2,3,4,9],[1,2,3,6,8],[1,2,4,6,7],[2,3,4,5,6]])
([9,8,8,7,7,6,6,5,5,4,4,2,2,2],[[1,2,3,4,9],[1,2,4,5,8],[1,2,4,6,7],[2,3,4,5,6]])
([9,8,8,7,7,6,6,5,5,4,3,3,3,1],[[1,2,3,4,9],[1,2,3,6,8],[1,3,4,5,7],[2,3,4,5,6]])
([9,8,8,7,7,6,5,5,5,5,4,3,2,1],[[1,2,3,4,9],[1,2,3,6,7],[1,2,4,5,8],[1,3,4,5,7],[2,3,4,5,6]])
([9,8,8,7,7,5,5,5,5,5,5,4,2],[[1,2,3,4,9],[1,2,4,5,8],[2,3,4,5,7]])
([9,8,7,7,7,7,7,5,5,4,3,2,2,1,1],[[1,2,3,4,9],[1,2,3,5,8],[1,2,5,6,7],[1,3,4,5,7]])
([9,8,7,7,7,7,7,5,4,4,4,3,1,1,1],[[1,2,3,4,9],[1,2,3,5,8],[1,3,4,6,7]])
([9,8,7,7,7,7,6,6,5,4,3,2,2,2],[[1,2,3,4,9],[1,2,3,5,8],[1,2,5,6,7],[2,3,4,5,6]])
([9,8,7,7,7,7,6,5,5,4,4,3,2,1],[[1,2,3,4,9],[1,2,3,5,8],[1,2,4,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([9,8,7,7,7,7,5,5,5,5,4,3,3],[[1,2,3,4,9],[1,2,3,5,8],[1,2,3,6,7],[2,3,4,5,7]])
([9,7,7,7,7,7,7,7,4,4,4,2,1,1,1],[[1,2,3,4,9],[1,2,5,6,7],[1,3,4,6,7]])
([9,7,7,7,7,7,7,6,5,4,4,2,2,1],[[1,2,3,4,9],[1,2,5,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([9,7,7,7,7,7,7,6,4,4,4,4,1,1],[[1,2,3,4,9],[1,3,4,6,7],[2,3,4,5,6]])
([9,7,7,7,7,7,7,5,5,4,4,4,2],[[1,2,3,4,9],[1,2,4,6,7],[2,3,4,5,7]])
([8,8,8,8,8,8,6,4,4,3,2,2,2,2,2],[[1,2,3,7,8],[1,2,4,6,8]])
([8,8,8,8,8,7,7,5,3,3,2,2,2,2,2],[[1,2,3,7,8],[1,2,4,5,8],[1,2,5,6,7]])
([8,8,8,8,8,7,6,6,4,2,2,2,2,2,2],[[1,2,4,6,8],[1,2,5,6,7]])
([8,8,8,8,8,7,6,5,4,3,3,2,2,2,1],[[1,2,3,7,8],[1,2,4,5,8],[1,2,4,6,7],[1,3,4,5,6]])
([8,8,8,8,8,7,5,5,5,3,3,3,2,1,1],[[1,2,3,7,8],[1,2,4,5,8],[1,3,4,5,7]])
([8,8,8,8,8,6,6,6,4,4,2,2,2,2,1],[[1,2,4,6,8],[1,3,4,5,6]])
([8,8,8,8,8,6,6,5,5,3,3,3,2,2],[[1,2,3,7,8],[1,2,4,5,8],[2,3,4,5,6]])
([8,8,8,8,8,6,5,5,5,5,3,3,1,1,1],[[1,2,3,6,8],[1,3,4,5,8]])
([8,8,8,8,7,7,7,6,3,3,3,2,2,2,1],[[1,2,3,7,8],[1,2,5,6,7],[1,3,4,5,6]])
([8,8,8,8,7,7,7,5,4,3,3,3,2,1,1],[[1,2,3,7,8],[1,2,4,6,7],[1,3,4,5,7]])
([8,8,8,8,7,7,6,6,5,3,2,2,2,2,1],[[1,2,3,6,8],[1,2,4,5,8],[1,2,5,6,7],[1,3,4,5,6]])
([8,8,8,8,7,7,6,6,4,3,3,3,2,2],[[1,2,3,7,8],[1,2,4,6,7],[2,3,4,5,6]])
([8,8,8,8,7,7,6,5,5,4,3,2,2,1,1],[[1,2,3,6,8],[1,2,4,5,8],[1,2,4,6,7],[1,3,4,5,7]])
([8,8,8,8,7,7,6,5,5,3,3,3,3,1],[[1,2,3,7,8],[1,3,4,5,7],[2,3,4,5,6]])
([8,8,8,8,7,7,5,5,5,5,4,2,1,1,1],[[1,2,4,6,7],[1,3,4,5,8]])
([8,8,8,8,7,6,6,6,5,4,3,2,2,2],[[1,2,3,6,8],[1,2,4,5,8],[1,2,4,6,7],[2,3,4,5,6]])
([8,8,8,8,7,6,6,5,5,5,3,3,2,1],[[1,2,3,6,8],[1,2,4,5,8],[1,3,4,5,7],[2,3,4,5,6]])
([8,8,8,8,7,6,5,5,5,5,5,3,1,1],[[1,2,3,6,7],[1,3,4,5,8],[2,3,4,5,6]])
([8,8,8,8,7,5,5,5,5,5,5,5,1],[[1,3,4,5,8],[2,3,4,5,7]])
([8,8,8,7,7,7,7,6,5,3,3,2,2,1,1],[[1,2,3,6,8],[1,2,5,6,7],[1,3,4,5,7]])
([8,8,8,7,7,7,7,6,4,4,3,3,1,1,1],[[1,2,3,6,8],[1,3,4,6,7]])
([8,8,8,7,7,7,7,5,5,5,2,2,2,1,1],[[1,2,4,5,8],[1,2,5,6,7],[1,3,4,5,7]])
([8,8,8,7,7,7,7,5,5,4,4,2,1,1,1],[[1,2,4,5,8],[1,3,4,6,7]])
([8,8,8,7,7,7,6,6,6,3,3,2,2,2],[[1,2,3,6,8],[1,2,5,6,7],[2,3,4,5,6]])
([8,8,8,7,7,7,6,6,5,5,2,2,2,2],[[1,2,4,5,8],[1,2,5,6,7],[2,3,4,5,6]])
([8,8,8,7,7,7,6,6,5,4,3,3,2,1],[[1,2,3,6,8],[1,2,4,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([8,8,8,7,7,7,6,5,5,5,4,2,2,1],[[1,2,4,5,8],[1,2,4,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([8,8,8,7,7,7,6,5,5,5,3,3,3],[[1,2,3,6,8],[2,3,4,5,7]])
([8,8,8,7,7,7,5,5,5,5,5,3,2],[[1,2,3,6,7],[1,2,4,5,8],[2,3,4,5,7]])
([8,8,7,7,7,7,7,7,5,4,3,2,1,1,1],[[1,2,3,5,8],[1,2,5,6,7],[1,3,4,6,7]])
([8,8,7,7,7,7,7,6,5,5,3,2,2,1],[[1,2,3,5,8],[1,2,5,6,7],[1,3,4,5,7],[2,3,4,5,6]])
([8,8,7,7,7,7,7,6,5,4,4,3,1,1],[[1,2,3,5,8],[1,3,4,6,7],[2,3,4,5,6]])
([8,8,7,7,7,7,7,5,5,5,4,3,2],[[1,2,3,5,8],[1,2,4,6,7],[2,3,4,5,7]])
([8,7,7,7,7,7,7,7,7,4,3,1,1,1,1],[[1,2,3,4,8],[1,3,5,6,7]])
([8,7,7,7,7,7,7,7,6,4,4,2,1,1],[[1,2,3,4,8],[1,2,5,6,7],[1,3,4,6,7],[2,3,4,5,6]])
([8,7,7,7,7,7,7,7,5,5,4,2,2],[[1,2,3,4,8],[1,2,5,6,7],[2,3,4,5,7]])
([8,7,7,7,7,7,7,7,5,4,4,4,1],[[1,2,3,4,8],[1,3,4,6,7],[2,3,4,5,7]])
([7,7,7,7,7,7,7,7,7,7,1,1,1,1,1],[[1,4,5,6,7]])
([7,7,7,7,7,7,7,7,7,6,3,1,1,1],[[1,3,5,6,7],[2,3,4,5,6]])
([7,7,7,7,7,7,7,7,7,5,4,2,1],[[1,2,5,6,7],[1,3,4,6,7],[2,3,4,5,7]])
([7,7,7,7,7,7,7,7,7,4,4,4],[[2,3,4,6,7]])


m = 7
-----

n = 1
([7],[[1,2,3,4,5,6,7]])




n = 2
([8,6],[[1,2,3,4,5,6,8]])



n = 3
([9,6,6],[[1,2,3,4,5,6,9]])
([8,8,5],[[1,2,3,4,5,7,8]])



n = 4

([10,6,6,6],[[1,2,3,4,5,6,10]])
([9,8,6,5],[[1,2,3,4,5,6,9],[1,2,3,4,5,7,8]])
([8,8,8,4],[[1,2,3,4,6,7,8]])




n = 5

([11,6,6,6,6],[[1,2,3,4,5,6,11]])
([10,8,6,6,5],[[1,2,3,4,5,6,10],[1,2,3,4,5,7,8]])
([9,9,7,5,5],[[1,2,3,4,5,7,9]])
([9,8,8,6,4],[[1,2,3,4,5,6,9],[1,2,3,4,6,7,8]])
([8,8,8,8,3],[[1,2,3,5,6,7,8]])



n = 6
([12,6,6,6,6,6],[[1,2,3,4,5,6,12]])
([11,8,6,6,6,5],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,8]])
([10,9,7,6,5,5],[[1,2,3,4,5,6,10],[1,2,3,4,5,7,9]])
([10,8,8,6,6,4],[[1,2,3,4,5,6,10],[1,2,3,4,6,7,8]])
([9,9,9,5,5,5],[[1,2,3,4,5,8,9]])
([9,9,8,7,5,4],[[1,2,3,4,5,7,9],[1,2,3,4,6,7,8]])
([9,8,8,8,6,3],[[1,2,3,4,5,6,9],[1,2,3,5,6,7,8]])
([8,8,8,8,8,2],[[1,2,4,5,6,7,8]])


n = 7
([13,6,6,6,6,6,6],[[1,2,3,4,5,6,13]])
([12,8,6,6,6,6,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,8]])
([11,9,7,6,6,5,5],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,9]])
([11,8,8,6,6,6,4],[[1,2,3,4,5,6,11],[1,2,3,4,6,7,8]])
([10,10,7,7,5,5,5],[[1,2,3,4,5,7,10]])
([10,9,9,6,5,5,5],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9]])
([10,9,8,7,6,5,4],[[1,2,3,4,5,6,10],[1,2,3,4,5,7,9],[1,2,3,4,6,7,8]])
([10,8,8,8,6,6,3],[[1,2,3,4,5,6,10],[1,2,3,5,6,7,8]])
([9,9,9,8,5,5,4],[[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([9,9,9,7,7,4,4],[[1,2,3,4,6,7,9]])
([9,9,8,8,7,5,3],[[1,2,3,4,5,7,9],[1,2,3,5,6,7,8]])
([9,8,8,8,8,6,2],[[1,2,3,4,5,6,9],[1,2,4,5,6,7,8]])
([8,8,8,8,8,8,1],[[1,3,4,5,6,7,8]])



n = 8
([14,6,6,6,6,6,6,6],[[1,2,3,4,5,6,14]])
([13,8,6,6,6,6,6,5],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,8]])
([12,9,7,6,6,6,5,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,9]])
([12,8,8,6,6,6,6,4],[[1,2,3,4,5,6,12],[1,2,3,4,6,7,8]])
([11,10,7,7,6,5,5,5],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10]])
([11,9,9,6,6,5,5,5],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9]])
([11,9,8,7,6,6,5,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,9],[1,2,3,4,6,7,8]])
([11,8,8,8,6,6,6,3],[[1,2,3,4,5,6,11],[1,2,3,5,6,7,8]])
([10,10,9,7,5,5,5,5],[[1,2,3,4,5,7,10],[1,2,3,4,5,8,9]])
([10,10,8,7,7,5,5,4],[[1,2,3,4,5,7,10],[1,2,3,4,6,7,8]])
([10,9,9,8,6,5,5,4],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([10,9,9,7,7,6,4,4],[[1,2,3,4,5,6,10],[1,2,3,4,6,7,9]])
([10,9,8,8,7,6,5,3],[[1,2,3,4,5,6,10],[1,2,3,4,5,7,9],[1,2,3,5,6,7,8]])
([10,8,8,8,8,6,6,2],[[1,2,3,4,5,6,10],[1,2,4,5,6,7,8]])
([9,9,9,9,7,5,4,4],[[1,2,3,4,5,8,9],[1,2,3,4,6,7,9]])
([9,9,9,8,8,5,5,3],[[1,2,3,4,5,8,9],[1,2,3,5,6,7,8]])
([9,9,9,8,7,7,4,3],[[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([9,9,8,8,8,7,5,2],[[1,2,3,4,5,7,9],[1,2,4,5,6,7,8]])
([9,8,8,8,8,8,6,1],[[1,2,3,4,5,6,9],[1,3,4,5,6,7,8]])
([8,8,8,8,8,8,8],[[2,3,4,5,6,7,8]])


n = 9
([15,6,6,6,6,6,6,6,6],[[1,2,3,4,5,6,15]])
([14,8,6,6,6,6,6,6,5],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,8]])
([13,9,7,6,6,6,6,5,5],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,9]])
([13,8,8,6,6,6,6,6,4],[[1,2,3,4,5,6,13],[1,2,3,4,6,7,8]])
([12,10,7,7,6,6,5,5,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10]])
([12,9,9,6,6,6,5,5,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,9]])
([12,9,8,7,6,6,6,5,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,9],[1,2,3,4,6,7,8]])
([12,8,8,8,6,6,6,6,3],[[1,2,3,4,5,6,12],[1,2,3,5,6,7,8]])
([11,11,7,7,7,5,5,5,5],[[1,2,3,4,5,7,11]])
([11,10,9,7,6,5,5,5,5],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9]])
([11,10,8,7,7,6,5,5,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,6,7,8]])
([11,9,9,8,6,6,5,5,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([11,9,9,7,7,6,6,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,6,7,9]])
([11,9,8,8,7,6,6,5,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,9],[1,2,3,5,6,7,8]])
([11,8,8,8,8,6,6,6,2],[[1,2,3,4,5,6,11],[1,2,4,5,6,7,8]])
([10,10,10,8,5,5,5,5,5],[[1,2,3,4,5,8,10]])
([10,10,9,8,7,5,5,5,4],[[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([10,10,9,7,7,7,5,4,4],[[1,2,3,4,5,7,10],[1,2,3,4,6,7,9]])
([10,10,8,8,7,7,5,5,3],[[1,2,3,4,5,7,10],[1,2,3,5,6,7,8]])
([10,9,9,9,7,6,5,4,4],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9]])
([10,9,9,8,8,6,5,5,3],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,2,3,5,6,7,8]])
([10,9,9,8,7,7,6,4,3],[[1,2,3,4,5,6,10],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([10,9,8,8,8,7,6,5,2],[[1,2,3,4,5,6,10],[1,2,3,4,5,7,9],[1,2,4,5,6,7,8]])
([10,8,8,8,8,8,6,6,1],[[1,2,3,4,5,6,10],[1,3,4,5,6,7,8]])
([9,9,9,9,9,6,4,4,4],[[1,2,3,4,6,8,9]])
([9,9,9,9,8,7,5,4,3],[[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([9,9,9,9,7,7,7,3,3],[[1,2,3,5,6,7,9]])
([9,9,9,8,8,8,5,5,2],[[1,2,3,4,5,8,9],[1,2,4,5,6,7,8]])
([9,9,9,8,8,7,7,4,2],[[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([9,9,8,8,8,8,7,5,1],[[1,2,3,4,5,7,9],[1,3,4,5,6,7,8]])
([9,8,8,8,8,8,8,6],[[1,2,3,4,5,6,9],[2,3,4,5,6,7,8]])


n = 10
([16,6,6,6,6,6,6,6,6,6],[[1,2,3,4,5,6,16]])
([15,8,6,6,6,6,6,6,6,5],[[1,2,3,4,5,6,15],[1,2,3,4,5,7,8]])
([14,9,7,6,6,6,6,6,5,5],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,9]])
([14,8,8,6,6,6,6,6,6,4],[[1,2,3,4,5,6,14],[1,2,3,4,6,7,8]])
([13,10,7,7,6,6,6,5,5,5],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,10]])
([13,9,9,6,6,6,6,5,5,5],[[1,2,3,4,5,6,13],[1,2,3,4,5,8,9]])
([13,9,8,7,6,6,6,6,5,4],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,9],[1,2,3,4,6,7,8]])
([13,8,8,8,6,6,6,6,6,3],[[1,2,3,4,5,6,13],[1,2,3,5,6,7,8]])
([12,11,7,7,7,6,5,5,5,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11]])
([12,10,9,7,6,6,5,5,5,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9]])
([12,10,8,7,7,6,6,5,5,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,4,6,7,8]])
([12,9,9,8,6,6,6,5,5,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([12,9,9,7,7,6,6,6,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,6,7,9]])
([12,9,8,8,7,6,6,6,5,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,9],[1,2,3,5,6,7,8]])
([12,8,8,8,8,6,6,6,6,2],[[1,2,3,4,5,6,12],[1,2,4,5,6,7,8]])
([11,11,9,7,7,5,5,5,5,5],[[1,2,3,4,5,7,11],[1,2,3,4,5,8,9]])
([11,11,8,7,7,7,5,5,5,4],[[1,2,3,4,5,7,11],[1,2,3,4,6,7,8]])
([11,10,10,8,6,5,5,5,5,5],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,10]])
([11,10,9,8,7,6,5,5,5,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([11,10,9,7,7,7,6,5,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,6,7,9]])
([11,10,8,8,7,7,6,5,5,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,5,6,7,8]])
([11,9,9,9,7,6,6,5,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9]])
([11,9,9,8,8,6,6,5,5,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[1,2,3,5,6,7,8]])
([11,9,9,8,7,7,6,6,4,3],[[1,2,3,4,5,6,11],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([11,9,8,8,8,7,6,6,5,2],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,9],[1,2,4,5,6,7,8]])
([11,8,8,8,8,8,6,6,6,1],[[1,2,3,4,5,6,11],[1,3,4,5,6,7,8]])
([10,10,10,10,5,5,5,5,5,5],[[1,2,3,4,5,9,10]])
([10,10,10,8,8,5,5,5,5,4],[[1,2,3,4,5,8,10],[1,2,3,4,6,7,8]])
([10,10,10,7,7,7,7,4,4,4],[[1,2,3,4,6,7,10]])
([10,10,9,9,7,7,5,5,4,4],[[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9]])
([10,10,9,8,8,7,5,5,5,3],[[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,5,6,7,8]])
([10,10,9,8,7,7,7,5,4,3],[[1,2,3,4,5,7,10],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([10,10,8,8,8,7,7,5,5,2],[[1,2,3,4,5,7,10],[1,2,4,5,6,7,8]])
([10,9,9,9,9,6,6,4,4,4],[[1,2,3,4,5,6,10],[1,2,3,4,6,8,9]])
([10,9,9,9,8,7,6,5,4,3],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([10,9,9,9,7,7,7,6,3,3],[[1,2,3,4,5,6,10],[1,2,3,5,6,7,9]])
([10,9,9,8,8,8,6,5,5,2],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,2,4,5,6,7,8]])
([10,9,9,8,8,7,7,6,4,2],[[1,2,3,4,5,6,10],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([10,9,8,8,8,8,7,6,5,1],[[1,2,3,4,5,6,10],[1,2,3,4,5,7,9],[1,3,4,5,6,7,8]])
([10,8,8,8,8,8,8,6,6],[[1,2,3,4,5,6,10],[2,3,4,5,6,7,8]])
([9,9,9,9,9,9,4,4,4,4],[[1,2,3,4,7,8,9]])
([9,9,9,9,9,8,6,4,4,3],[[1,2,3,4,6,8,9],[1,2,3,5,6,7,8]])
([9,9,9,9,9,7,7,5,3,3],[[1,2,3,4,5,8,9],[1,2,3,5,6,7,9]])
([9,9,9,9,8,8,7,5,4,2],[[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([9,9,9,9,8,7,7,7,3,2],[[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([9,9,9,8,8,8,8,5,5,1],[[1,2,3,4,5,8,9],[1,3,4,5,6,7,8]])
([9,9,9,8,8,8,7,7,4,1],[[1,2,3,4,6,7,9],[1,3,4,5,6,7,8]])
([9,9,8,8,8,8,8,7,5],[[1,2,3,4,5,7,9],[2,3,4,5,6,7,8]])




n = 11
([17,6,6,6,6,6,6,6,6,6,6],[[1,2,3,4,5,6,17]])
([16,8,6,6,6,6,6,6,6,6,5],[[1,2,3,4,5,6,16],[1,2,3,4,5,7,8]])
([15,9,7,6,6,6,6,6,6,5,5],[[1,2,3,4,5,6,15],[1,2,3,4,5,7,9]])
([15,8,8,6,6,6,6,6,6,6,4],[[1,2,3,4,5,6,15],[1,2,3,4,6,7,8]])
([14,10,7,7,6,6,6,6,5,5,5],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,10]])
([14,9,9,6,6,6,6,6,5,5,5],[[1,2,3,4,5,6,14],[1,2,3,4,5,8,9]])
([14,9,8,7,6,6,6,6,6,5,4],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,9],[1,2,3,4,6,7,8]])
([14,8,8,8,6,6,6,6,6,6,3],[[1,2,3,4,5,6,14],[1,2,3,5,6,7,8]])
([13,11,7,7,7,6,6,5,5,5,5],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,11]])
([13,10,9,7,6,6,6,5,5,5,5],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9]])
([13,10,8,7,7,6,6,6,5,5,4],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,10],[1,2,3,4,6,7,8]])
([13,9,9,8,6,6,6,6,5,5,4],[[1,2,3,4,5,6,13],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([13,9,9,7,7,6,6,6,6,4,4],[[1,2,3,4,5,6,13],[1,2,3,4,6,7,9]])
([13,9,8,8,7,6,6,6,6,5,3],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,9],[1,2,3,5,6,7,8]])
([13,8,8,8,8,6,6,6,6,6,2],[[1,2,3,4,5,6,13],[1,2,4,5,6,7,8]])
([12,12,7,7,7,7,5,5,5,5,5],[[1,2,3,4,5,7,12]])
([12,11,9,7,7,6,5,5,5,5,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,3,4,5,8,9]])
([12,11,8,7,7,7,6,5,5,5,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,3,4,6,7,8]])
([12,10,10,8,6,6,5,5,5,5,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,10]])
([12,10,9,8,7,6,6,5,5,5,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([12,10,9,7,7,7,6,6,5,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,4,6,7,9]])
([12,10,8,8,7,7,6,6,5,5,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,5,6,7,8]])
([12,9,9,9,7,6,6,6,5,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9]])
([12,9,9,8,8,6,6,6,5,5,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,9],[1,2,3,5,6,7,8]])
([12,9,9,8,7,7,6,6,6,4,3],[[1,2,3,4,5,6,12],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([12,9,8,8,8,7,6,6,6,5,2],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,9],[1,2,4,5,6,7,8]])
([12,8,8,8,8,8,6,6,6,6,1],[[1,2,3,4,5,6,12],[1,3,4,5,6,7,8]])
([11,11,10,8,7,5,5,5,5,5,5],[[1,2,3,4,5,7,11],[1,2,3,4,5,8,10]])
([11,11,9,8,7,7,5,5,5,5,4],[[1,2,3,4,5,7,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([11,11,9,7,7,7,7,5,5,4,4],[[1,2,3,4,5,7,11],[1,2,3,4,6,7,9]])
([11,11,8,8,7,7,7,5,5,5,3],[[1,2,3,4,5,7,11],[1,2,3,5,6,7,8]])
([11,10,10,10,6,5,5,5,5,5,5],[[1,2,3,4,5,6,11],[1,2,3,4,5,9,10]])
([11,10,10,8,8,6,5,5,5,5,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,10],[1,2,3,4,6,7,8]])
([11,10,10,7,7,7,7,6,4,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,6,7,10]])
([11,10,9,9,7,7,6,5,5,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9]])
([11,10,9,8,8,7,6,5,5,5,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,5,6,7,8]])
([11,10,9,8,7,7,7,6,5,4,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([11,10,8,8,8,7,7,6,5,5,2],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,4,5,6,7,8]])
([11,9,9,9,9,6,6,6,4,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,6,8,9]])
([11,9,9,9,8,7,6,6,5,4,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([11,9,9,9,7,7,7,6,6,3,3],[[1,2,3,4,5,6,11],[1,2,3,5,6,7,9]])
([11,9,9,8,8,8,6,6,5,5,2],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[1,2,4,5,6,7,8]])
([11,9,9,8,8,7,7,6,6,4,2],[[1,2,3,4,5,6,11],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([11,9,8,8,8,8,7,6,6,5,1],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,9],[1,3,4,5,6,7,8]])
([11,8,8,8,8,8,8,6,6,6],[[1,2,3,4,5,6,11],[2,3,4,5,6,7,8]])
([10,10,10,10,8,5,5,5,5,5,4],[[1,2,3,4,5,9,10],[1,2,3,4,6,7,8]])
([10,10,10,9,8,7,5,5,5,4,4],[[1,2,3,4,5,8,10],[1,2,3,4,6,7,9]])
([10,10,10,9,7,7,7,5,4,4,4],[[1,2,3,4,5,8,9],[1,2,3,4,6,7,10]])
([10,10,10,8,8,8,5,5,5,5,3],[[1,2,3,4,5,8,10],[1,2,3,5,6,7,8]])
([10,10,10,8,7,7,7,7,4,4,3],[[1,2,3,4,6,7,10],[1,2,3,5,6,7,8]])
([10,10,9,9,9,7,6,5,4,4,4],[[1,2,3,4,5,7,10],[1,2,3,4,6,8,9]])
([10,10,9,9,8,7,7,5,5,4,3],[[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([10,10,9,9,7,7,7,7,5,3,3],[[1,2,3,4,5,7,10],[1,2,3,5,6,7,9]])
([10,10,9,8,8,8,7,5,5,5,2],[[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,4,5,6,7,8]])
([10,10,9,8,8,7,7,7,5,4,2],[[1,2,3,4,5,7,10],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([10,10,8,8,8,8,7,7,5,5,1],[[1,2,3,4,5,7,10],[1,3,4,5,6,7,8]])
([10,9,9,9,9,9,6,4,4,4,4],[[1,2,3,4,5,6,10],[1,2,3,4,7,8,9]])
([10,9,9,9,9,8,6,6,4,4,3],[[1,2,3,4,5,6,10],[1,2,3,4,6,8,9],[1,2,3,5,6,7,8]])
([10,9,9,9,9,7,7,6,5,3,3],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,2,3,5,6,7,9]])
([10,9,9,9,8,8,7,6,5,4,2],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([10,9,9,9,8,7,7,7,6,3,2],[[1,2,3,4,5,6,10],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([10,9,9,8,8,8,8,6,5,5,1],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,3,4,5,6,7,8]])
([10,9,9,8,8,8,7,7,6,4,1],[[1,2,3,4,5,6,10],[1,2,3,4,6,7,9],[1,3,4,5,6,7,8]])
([10,9,8,8,8,8,8,7,6,5],[[1,2,3,4,5,6,10],[1,2,3,4,5,7,9],[2,3,4,5,6,7,8]])
([9,9,9,9,9,9,8,4,4,4,3],[[1,2,3,4,7,8,9],[1,2,3,5,6,7,8]])
([9,9,9,9,9,9,7,6,4,3,3],[[1,2,3,4,6,8,9],[1,2,3,5,6,7,9]])
([9,9,9,9,9,8,8,6,4,4,2],[[1,2,3,4,6,8,9],[1,2,4,5,6,7,8]])
([9,9,9,9,9,8,7,7,5,3,2],[[1,2,3,4,5,8,9],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([9,9,9,9,9,7,7,7,7,2,2],[[1,2,4,5,6,7,9]])
([9,9,9,9,8,8,8,7,5,4,1],[[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,3,4,5,6,7,8]])
([9,9,9,9,8,8,7,7,7,3,1],[[1,2,3,5,6,7,9],[1,3,4,5,6,7,8]])
([9,9,9,8,8,8,8,8,5,5],[[1,2,3,4,5,8,9],[2,3,4,5,6,7,8]])
([9,9,9,8,8,8,8,7,7,4],[[1,2,3,4,6,7,9],[2,3,4,5,6,7,8]])


n = 12
([18,6,6,6,6,6,6,6,6,6,6,6],[[1,2,3,4,5,6,18]])
([17,8,6,6,6,6,6,6,6,6,6,5],[[1,2,3,4,5,6,17],[1,2,3,4,5,7,8]])
([16,9,7,6,6,6,6,6,6,6,5,5],[[1,2,3,4,5,6,16],[1,2,3,4,5,7,9]])
([16,8,8,6,6,6,6,6,6,6,6,4],[[1,2,3,4,5,6,16],[1,2,3,4,6,7,8]])
([15,10,7,7,6,6,6,6,6,5,5,5],[[1,2,3,4,5,6,15],[1,2,3,4,5,7,10]])
([15,9,9,6,6,6,6,6,6,5,5,5],[[1,2,3,4,5,6,15],[1,2,3,4,5,8,9]])
([15,9,8,7,6,6,6,6,6,6,5,4],[[1,2,3,4,5,6,15],[1,2,3,4,5,7,9],[1,2,3,4,6,7,8]])
([15,8,8,8,6,6,6,6,6,6,6,3],[[1,2,3,4,5,6,15],[1,2,3,5,6,7,8]])
([14,11,7,7,7,6,6,6,5,5,5,5],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,11]])
([14,10,9,7,6,6,6,6,5,5,5,5],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9]])
([14,10,8,7,7,6,6,6,6,5,5,4],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,10],[1,2,3,4,6,7,8]])
([14,9,9,8,6,6,6,6,6,5,5,4],[[1,2,3,4,5,6,14],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([14,9,9,7,7,6,6,6,6,6,4,4],[[1,2,3,4,5,6,14],[1,2,3,4,6,7,9]])
([14,9,8,8,7,6,6,6,6,6,5,3],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,9],[1,2,3,5,6,7,8]])
([14,8,8,8,8,6,6,6,6,6,6,2],[[1,2,3,4,5,6,14],[1,2,4,5,6,7,8]])
([13,12,7,7,7,7,6,5,5,5,5,5],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,12]])
([13,11,9,7,7,6,6,5,5,5,5,5],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,11],[1,2,3,4,5,8,9]])
([13,11,8,7,7,7,6,6,5,5,5,4],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,11],[1,2,3,4,6,7,8]])
([13,10,10,8,6,6,6,5,5,5,5,5],[[1,2,3,4,5,6,13],[1,2,3,4,5,8,10]])
([13,10,9,8,7,6,6,6,5,5,5,4],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([13,10,9,7,7,7,6,6,6,5,4,4],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,10],[1,2,3,4,6,7,9]])
([13,10,8,8,7,7,6,6,6,5,5,3],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,10],[1,2,3,5,6,7,8]])
([13,9,9,9,7,6,6,6,6,5,4,4],[[1,2,3,4,5,6,13],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9]])
([13,9,9,8,8,6,6,6,6,5,5,3],[[1,2,3,4,5,6,13],[1,2,3,4,5,8,9],[1,2,3,5,6,7,8]])
([13,9,9,8,7,7,6,6,6,6,4,3],[[1,2,3,4,5,6,13],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([13,9,8,8,8,7,6,6,6,6,5,2],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,9],[1,2,4,5,6,7,8]])
([13,8,8,8,8,8,6,6,6,6,6,1],[[1,2,3,4,5,6,13],[1,3,4,5,6,7,8]])
([12,12,9,7,7,7,5,5,5,5,5,5],[[1,2,3,4,5,7,12],[1,2,3,4,5,8,9]])
([12,12,8,7,7,7,7,5,5,5,5,4],[[1,2,3,4,5,7,12],[1,2,3,4,6,7,8]])
([12,11,10,8,7,6,5,5,5,5,5,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,3,4,5,8,10]])
([12,11,9,8,7,7,6,5,5,5,5,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([12,11,9,7,7,7,7,6,5,5,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,3,4,6,7,9]])
([12,11,8,8,7,7,7,6,5,5,5,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,3,5,6,7,8]])
([12,10,10,10,6,6,5,5,5,5,5,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,9,10]])
([12,10,10,8,8,6,6,5,5,5,5,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,10],[1,2,3,4,6,7,8]])
([12,10,10,7,7,7,7,6,6,4,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,6,7,10]])
([12,10,9,9,7,7,6,6,5,5,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9]])
([12,10,9,8,8,7,6,6,5,5,5,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,5,6,7,8]])
([12,10,9,8,7,7,7,6,6,5,4,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([12,10,8,8,8,7,7,6,6,5,5,2],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,4,5,6,7,8]])
([12,9,9,9,9,6,6,6,6,4,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,6,8,9]])
([12,9,9,9,8,7,6,6,6,5,4,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([12,9,9,9,7,7,7,6,6,6,3,3],[[1,2,3,4,5,6,12],[1,2,3,5,6,7,9]])
([12,9,9,8,8,8,6,6,6,5,5,2],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,9],[1,2,4,5,6,7,8]])
([12,9,9,8,8,7,7,6,6,6,4,2],[[1,2,3,4,5,6,12],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([12,9,8,8,8,8,7,6,6,6,5,1],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,9],[1,3,4,5,6,7,8]])
([12,8,8,8,8,8,8,6,6,6,6],[[1,2,3,4,5,6,12],[2,3,4,5,6,7,8]])
([11,11,11,8,8,5,5,5,5,5,5,5],[[1,2,3,4,5,8,11]])
([11,11,10,10,7,5,5,5,5,5,5,5],[[1,2,3,4,5,7,11],[1,2,3,4,5,9,10]])
([11,11,10,8,8,7,5,5,5,5,5,4],[[1,2,3,4,5,7,11],[1,2,3,4,5,8,10],[1,2,3,4,6,7,8]])
([11,11,10,7,7,7,7,7,5,4,4,4],[[1,2,3,4,5,7,11],[1,2,3,4,6,7,10]])
([11,11,9,9,7,7,7,5,5,5,4,4],[[1,2,3,4,5,7,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9]])
([11,11,9,8,8,7,7,5,5,5,5,3],[[1,2,3,4,5,7,11],[1,2,3,4,5,8,9],[1,2,3,5,6,7,8]])
([11,11,9,8,7,7,7,7,5,5,4,3],[[1,2,3,4,5,7,11],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([11,11,8,8,8,7,7,7,5,5,5,2],[[1,2,3,4,5,7,11],[1,2,4,5,6,7,8]])
([11,10,10,10,8,6,5,5,5,5,5,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,9,10],[1,2,3,4,6,7,8]])
([11,10,10,9,8,7,6,5,5,5,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,10],[1,2,3,4,6,7,9]])
([11,10,10,9,7,7,7,6,5,4,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,10]])
([11,10,10,8,8,8,6,5,5,5,5,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,10],[1,2,3,5,6,7,8]])
([11,10,10,8,7,7,7,7,6,4,4,3],[[1,2,3,4,5,6,11],[1,2,3,4,6,7,10],[1,2,3,5,6,7,8]])
([11,10,9,9,9,7,6,6,5,4,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,6,8,9]])
([11,10,9,9,8,7,7,6,5,5,4,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([11,10,9,9,7,7,7,7,6,5,3,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,5,6,7,9]])
([11,10,9,8,8,8,7,6,5,5,5,2],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,4,5,6,7,8]])
([11,10,9,8,8,7,7,7,6,5,4,2],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([11,10,8,8,8,8,7,7,6,5,5,1],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,3,4,5,6,7,8]])
([11,9,9,9,9,9,6,6,4,4,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,7,8,9]])
([11,9,9,9,9,8,6,6,6,4,4,3],[[1,2,3,4,5,6,11],[1,2,3,4,6,8,9],[1,2,3,5,6,7,8]])
([11,9,9,9,9,7,7,6,6,5,3,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[1,2,3,5,6,7,9]])
([11,9,9,9,8,8,7,6,6,5,4,2],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([11,9,9,9,8,7,7,7,6,6,3,2],[[1,2,3,4,5,6,11],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([11,9,9,8,8,8,8,6,6,5,5,1],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[1,3,4,5,6,7,8]])
([11,9,9,8,8,8,7,7,6,6,4,1],[[1,2,3,4,5,6,11],[1,2,3,4,6,7,9],[1,3,4,5,6,7,8]])
([11,9,8,8,8,8,8,7,6,6,5],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,9],[2,3,4,5,6,7,8]])
([10,10,10,10,9,7,5,5,5,5,4,4],[[1,2,3,4,5,9,10],[1,2,3,4,6,7,9]])
([10,10,10,10,8,8,5,5,5,5,5,3],[[1,2,3,4,5,9,10],[1,2,3,5,6,7,8]])
([10,10,10,10,8,7,7,5,5,4,4,4],[[1,2,3,4,5,8,10],[1,2,3,4,6,7,10]])
([10,10,10,9,9,8,6,5,5,4,4,4],[[1,2,3,4,5,8,10],[1,2,3,4,6,8,9]])
([10,10,10,9,9,7,7,6,4,4,4,4],[[1,2,3,4,6,7,10],[1,2,3,4,6,8,9]])
([10,10,10,9,8,8,7,5,5,5,4,3],[[1,2,3,4,5,8,10],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([10,10,10,9,8,7,7,7,5,4,4,3],[[1,2,3,4,5,8,9],[1,2,3,4,6,7,10],[1,2,3,5,6,7,8]])
([10,10,10,9,7,7,7,7,7,4,3,3],[[1,2,3,4,6,7,10],[1,2,3,5,6,7,9]])
([10,10,10,8,8,8,8,5,5,5,5,2],[[1,2,3,4,5,8,10],[1,2,4,5,6,7,8]])
([10,10,10,8,8,7,7,7,7,4,4,2],[[1,2,3,4,6,7,10],[1,2,4,5,6,7,8]])
([10,10,9,9,9,9,7,5,4,4,4,4],[[1,2,3,4,5,7,10],[1,2,3,4,7,8,9]])
([10,10,9,9,9,8,7,6,5,4,4,3],[[1,2,3,4,5,7,10],[1,2,3,4,6,8,9],[1,2,3,5,6,7,8]])
([10,10,9,9,9,7,7,7,5,5,3,3],[[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,5,6,7,9]])
([10,10,9,9,8,8,7,7,5,5,4,2],[[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([10,10,9,9,8,7,7,7,7,5,3,2],[[1,2,3,4,5,7,10],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([10,10,9,8,8,8,8,7,5,5,5,1],[[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,3,4,5,6,7,8]])
([10,10,9,8,8,8,7,7,7,5,4,1],[[1,2,3,4,5,7,10],[1,2,3,4,6,7,9],[1,3,4,5,6,7,8]])
([10,10,8,8,8,8,8,7,7,5,5],[[1,2,3,4,5,7,10],[2,3,4,5,6,7,8]])
([10,9,9,9,9,9,8,6,4,4,4,3],[[1,2,3,4,5,6,10],[1,2,3,4,7,8,9],[1,2,3,5,6,7,8]])
([10,9,9,9,9,9,7,6,6,4,3,3],[[1,2,3,4,5,6,10],[1,2,3,4,6,8,9],[1,2,3,5,6,7,9]])
([10,9,9,9,9,8,8,6,6,4,4,2],[[1,2,3,4,5,6,10],[1,2,3,4,6,8,9],[1,2,4,5,6,7,8]])
([10,9,9,9,9,8,7,7,6,5,3,2],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([10,9,9,9,9,7,7,7,7,6,2,2],[[1,2,3,4,5,6,10],[1,2,4,5,6,7,9]])
([10,9,9,9,8,8,8,7,6,5,4,1],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,3,4,5,6,7,8]])
([10,9,9,9,8,8,7,7,7,6,3,1],[[1,2,3,4,5,6,10],[1,2,3,5,6,7,9],[1,3,4,5,6,7,8]])
([10,9,9,8,8,8,8,8,6,5,5],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[2,3,4,5,6,7,8]])
([10,9,9,8,8,8,8,7,7,6,4],[[1,2,3,4,5,6,10],[1,2,3,4,6,7,9],[2,3,4,5,6,7,8]])
([9,9,9,9,9,9,9,7,4,4,3,3],[[1,2,3,4,7,8,9],[1,2,3,5,6,7,9]])
([9,9,9,9,9,9,9,6,6,3,3,3],[[1,2,3,5,6,8,9]])
([9,9,9,9,9,9,8,8,4,4,4,2],[[1,2,3,4,7,8,9],[1,2,4,5,6,7,8]])
([9,9,9,9,9,9,8,7,6,4,3,2],[[1,2,3,4,6,8,9],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([9,9,9,9,9,9,7,7,7,5,2,2],[[1,2,3,4,5,8,9],[1,2,4,5,6,7,9]])
([9,9,9,9,9,8,8,8,6,4,4,1],[[1,2,3,4,6,8,9],[1,3,4,5,6,7,8]])
([9,9,9,9,9,8,8,7,7,5,3,1],[[1,2,3,4,5,8,9],[1,2,3,5,6,7,9],[1,3,4,5,6,7,8]])
([9,9,9,9,9,8,7,7,7,7,2,1],[[1,2,4,5,6,7,9],[1,3,4,5,6,7,8]])
([9,9,9,9,8,8,8,8,7,5,4],[[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[2,3,4,5,6,7,8]])
([9,9,9,9,8,8,8,7,7,7,3],[[1,2,3,5,6,7,9],[2,3,4,5,6,7,8]])



n = 13
([19,6,6,6,6,6,6,6,6,6,6,6,6],[[1,2,3,4,5,6,19]])
([18,8,6,6,6,6,6,6,6,6,6,6,5],[[1,2,3,4,5,6,18],[1,2,3,4,5,7,8]])
([17,9,7,6,6,6,6,6,6,6,6,5,5],[[1,2,3,4,5,6,17],[1,2,3,4,5,7,9]])
([17,8,8,6,6,6,6,6,6,6,6,6,4],[[1,2,3,4,5,6,17],[1,2,3,4,6,7,8]])
([16,10,7,7,6,6,6,6,6,6,5,5,5],[[1,2,3,4,5,6,16],[1,2,3,4,5,7,10]])
([16,9,9,6,6,6,6,6,6,6,5,5,5],[[1,2,3,4,5,6,16],[1,2,3,4,5,8,9]])
([16,9,8,7,6,6,6,6,6,6,6,5,4],[[1,2,3,4,5,6,16],[1,2,3,4,5,7,9],[1,2,3,4,6,7,8]])
([16,8,8,8,6,6,6,6,6,6,6,6,3],[[1,2,3,4,5,6,16],[1,2,3,5,6,7,8]])
([15,11,7,7,7,6,6,6,6,5,5,5,5],[[1,2,3,4,5,6,15],[1,2,3,4,5,7,11]])
([15,10,9,7,6,6,6,6,6,5,5,5,5],[[1,2,3,4,5,6,15],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9]])
([15,10,8,7,7,6,6,6,6,6,5,5,4],[[1,2,3,4,5,6,15],[1,2,3,4,5,7,10],[1,2,3,4,6,7,8]])
([15,9,9,8,6,6,6,6,6,6,5,5,4],[[1,2,3,4,5,6,15],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([15,9,9,7,7,6,6,6,6,6,6,4,4],[[1,2,3,4,5,6,15],[1,2,3,4,6,7,9]])
([15,9,8,8,7,6,6,6,6,6,6,5,3],[[1,2,3,4,5,6,15],[1,2,3,4,5,7,9],[1,2,3,5,6,7,8]])
([15,8,8,8,8,6,6,6,6,6,6,6,2],[[1,2,3,4,5,6,15],[1,2,4,5,6,7,8]])
([14,12,7,7,7,7,6,6,5,5,5,5,5],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,12]])
([14,11,9,7,7,6,6,6,5,5,5,5,5],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,11],[1,2,3,4,5,8,9]])
([14,11,8,7,7,7,6,6,6,5,5,5,4],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,11],[1,2,3,4,6,7,8]])
([14,10,10,8,6,6,6,6,5,5,5,5,5],[[1,2,3,4,5,6,14],[1,2,3,4,5,8,10]])
([14,10,9,8,7,6,6,6,6,5,5,5,4],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([14,10,9,7,7,7,6,6,6,6,5,4,4],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,10],[1,2,3,4,6,7,9]])
([14,10,8,8,7,7,6,6,6,6,5,5,3],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,10],[1,2,3,5,6,7,8]])
([14,9,9,9,7,6,6,6,6,6,5,4,4],[[1,2,3,4,5,6,14],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9]])
([14,9,9,8,8,6,6,6,6,6,5,5,3],[[1,2,3,4,5,6,14],[1,2,3,4,5,8,9],[1,2,3,5,6,7,8]])
([14,9,9,8,7,7,6,6,6,6,6,4,3],[[1,2,3,4,5,6,14],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([14,9,8,8,8,7,6,6,6,6,6,5,2],[[1,2,3,4,5,6,14],[1,2,3,4,5,7,9],[1,2,4,5,6,7,8]])
([14,8,8,8,8,8,6,6,6,6,6,6,1],[[1,2,3,4,5,6,14],[1,3,4,5,6,7,8]])
([13,13,7,7,7,7,7,5,5,5,5,5,5],[[1,2,3,4,5,7,13]])
([13,12,9,7,7,7,6,5,5,5,5,5,5],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,12],[1,2,3,4,5,8,9]])
([13,12,8,7,7,7,7,6,5,5,5,5,4],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,12],[1,2,3,4,6,7,8]])
([13,11,10,8,7,6,6,5,5,5,5,5,5],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,11],[1,2,3,4,5,8,10]])
([13,11,9,8,7,7,6,6,5,5,5,5,4],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([13,11,9,7,7,7,7,6,6,5,5,4,4],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,11],[1,2,3,4,6,7,9]])
([13,11,8,8,7,7,7,6,6,5,5,5,3],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,11],[1,2,3,5,6,7,8]])
([13,10,10,10,6,6,6,5,5,5,5,5,5],[[1,2,3,4,5,6,13],[1,2,3,4,5,9,10]])
([13,10,10,8,8,6,6,6,5,5,5,5,4],[[1,2,3,4,5,6,13],[1,2,3,4,5,8,10],[1,2,3,4,6,7,8]])
([13,10,10,7,7,7,7,6,6,6,4,4,4],[[1,2,3,4,5,6,13],[1,2,3,4,6,7,10]])
([13,10,9,9,7,7,6,6,6,5,5,4,4],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9]])
([13,10,9,8,8,7,6,6,6,5,5,5,3],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,5,6,7,8]])
([13,10,9,8,7,7,7,6,6,6,5,4,3],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,10],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([13,10,8,8,8,7,7,6,6,6,5,5,2],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,10],[1,2,4,5,6,7,8]])
([13,9,9,9,9,6,6,6,6,6,4,4,4],[[1,2,3,4,5,6,13],[1,2,3,4,6,8,9]])
([13,9,9,9,8,7,6,6,6,6,5,4,3],[[1,2,3,4,5,6,13],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([13,9,9,9,7,7,7,6,6,6,6,3,3],[[1,2,3,4,5,6,13],[1,2,3,5,6,7,9]])
([13,9,9,8,8,8,6,6,6,6,5,5,2],[[1,2,3,4,5,6,13],[1,2,3,4,5,8,9],[1,2,4,5,6,7,8]])
([13,9,9,8,8,7,7,6,6,6,6,4,2],[[1,2,3,4,5,6,13],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([13,9,8,8,8,8,7,6,6,6,6,5,1],[[1,2,3,4,5,6,13],[1,2,3,4,5,7,9],[1,3,4,5,6,7,8]])
([13,8,8,8,8,8,8,6,6,6,6,6],[[1,2,3,4,5,6,13],[2,3,4,5,6,7,8]])
([12,12,10,8,7,7,5,5,5,5,5,5,5],[[1,2,3,4,5,7,12],[1,2,3,4,5,8,10]])
([12,12,9,8,7,7,7,5,5,5,5,5,4],[[1,2,3,4,5,7,12],[1,2,3,4,5,8,9],[1,2,3,4,6,7,8]])
([12,12,9,7,7,7,7,7,5,5,5,4,4],[[1,2,3,4,5,7,12],[1,2,3,4,6,7,9]])
([12,12,8,8,7,7,7,7,5,5,5,5,3],[[1,2,3,4,5,7,12],[1,2,3,5,6,7,8]])
([12,11,11,8,8,6,5,5,5,5,5,5,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,11]])
([12,11,10,10,7,6,5,5,5,5,5,5,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,3,4,5,9,10]])
([12,11,10,8,8,7,6,5,5,5,5,5,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,3,4,5,8,10],[1,2,3,4,6,7,8]])
([12,11,10,7,7,7,7,7,6,5,4,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,3,4,6,7,10]])
([12,11,9,9,7,7,7,6,5,5,5,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9]])
([12,11,9,8,8,7,7,6,5,5,5,5,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,3,4,5,8,9],[1,2,3,5,6,7,8]])
([12,11,9,8,7,7,7,7,6,5,5,4,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([12,11,8,8,8,7,7,7,6,5,5,5,2],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,11],[1,2,4,5,6,7,8]])
([12,10,10,10,8,6,6,5,5,5,5,5,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,9,10],[1,2,3,4,6,7,8]])
([12,10,10,9,8,7,6,6,5,5,5,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,10],[1,2,3,4,6,7,9]])
([12,10,10,9,7,7,7,6,6,5,4,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,9],[1,2,3,4,6,7,10]])
([12,10,10,8,8,8,6,6,5,5,5,5,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,10],[1,2,3,5,6,7,8]])
([12,10,10,8,7,7,7,7,6,6,4,4,3],[[1,2,3,4,5,6,12],[1,2,3,4,6,7,10],[1,2,3,5,6,7,8]])
([12,10,9,9,9,7,6,6,6,5,4,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,4,6,8,9]])
([12,10,9,9,8,7,7,6,6,5,5,4,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([12,10,9,9,7,7,7,7,6,6,5,3,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,5,6,7,9]])
([12,10,9,8,8,8,7,6,6,5,5,5,2],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,4,5,6,7,8]])
([12,10,9,8,8,7,7,7,6,6,5,4,2],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([12,10,8,8,8,8,7,7,6,6,5,5,1],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,10],[1,3,4,5,6,7,8]])
([12,9,9,9,9,9,6,6,6,4,4,4,4],[[1,2,3,4,5,6,12],[1,2,3,4,7,8,9]])
([12,9,9,9,9,8,6,6,6,6,4,4,3],[[1,2,3,4,5,6,12],[1,2,3,4,6,8,9],[1,2,3,5,6,7,8]])
([12,9,9,9,9,7,7,6,6,6,5,3,3],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,9],[1,2,3,5,6,7,9]])
([12,9,9,9,8,8,7,6,6,6,5,4,2],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([12,9,9,9,8,7,7,7,6,6,6,3,2],[[1,2,3,4,5,6,12],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([12,9,9,8,8,8,8,6,6,6,5,5,1],[[1,2,3,4,5,6,12],[1,2,3,4,5,8,9],[1,3,4,5,6,7,8]])
([12,9,9,8,8,8,7,7,6,6,6,4,1],[[1,2,3,4,5,6,12],[1,2,3,4,6,7,9],[1,3,4,5,6,7,8]])
([12,9,8,8,8,8,8,7,6,6,6,5],[[1,2,3,4,5,6,12],[1,2,3,4,5,7,9],[2,3,4,5,6,7,8]])
([11,11,11,10,8,5,5,5,5,5,5,5,5],[[1,2,3,4,5,8,11],[1,2,3,4,5,9,10]])
([11,11,11,8,8,8,5,5,5,5,5,5,4],[[1,2,3,4,5,8,11],[1,2,3,4,6,7,8]])
([11,11,11,7,7,7,7,7,7,4,4,4,4],[[1,2,3,4,6,7,11]])
([11,11,10,10,8,7,5,5,5,5,5,5,4],[[1,2,3,4,5,7,11],[1,2,3,4,5,9,10],[1,2,3,4,6,7,8]])
([11,11,10,9,8,7,7,5,5,5,5,4,4],[[1,2,3,4,5,7,11],[1,2,3,4,5,8,10],[1,2,3,4,6,7,9]])
([11,11,10,9,7,7,7,7,5,5,4,4,4],[[1,2,3,4,5,7,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,10]])
([11,11,10,8,8,8,7,5,5,5,5,5,3],[[1,2,3,4,5,7,11],[1,2,3,4,5,8,10],[1,2,3,5,6,7,8]])
([11,11,10,8,7,7,7,7,7,5,4,4,3],[[1,2,3,4,5,7,11],[1,2,3,4,6,7,10],[1,2,3,5,6,7,8]])
([11,11,9,9,9,7,7,6,5,5,4,4,4],[[1,2,3,4,5,7,11],[1,2,3,4,6,8,9]])
([11,11,9,9,8,7,7,7,5,5,5,4,3],[[1,2,3,4,5,7,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([11,11,9,9,7,7,7,7,7,5,5,3,3],[[1,2,3,4,5,7,11],[1,2,3,5,6,7,9]])
([11,11,9,8,8,8,7,7,5,5,5,5,2],[[1,2,3,4,5,7,11],[1,2,3,4,5,8,9],[1,2,4,5,6,7,8]])
([11,11,9,8,8,7,7,7,7,5,5,4,2],[[1,2,3,4,5,7,11],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([11,11,8,8,8,8,7,7,7,5,5,5,1],[[1,2,3,4,5,7,11],[1,3,4,5,6,7,8]])
([11,10,10,10,9,7,6,5,5,5,5,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,9,10],[1,2,3,4,6,7,9]])
([11,10,10,10,8,8,6,5,5,5,5,5,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,9,10],[1,2,3,5,6,7,8]])
([11,10,10,10,8,7,7,6,5,5,4,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,10],[1,2,3,4,6,7,10]])
([11,10,10,9,9,8,6,6,5,5,4,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,10],[1,2,3,4,6,8,9]])
([11,10,10,9,9,7,7,6,6,4,4,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,6,7,10],[1,2,3,4,6,8,9]])
([11,10,10,9,8,8,7,6,5,5,5,4,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,10],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([11,10,10,9,8,7,7,7,6,5,4,4,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,10],[1,2,3,5,6,7,8]])
([11,10,10,9,7,7,7,7,7,6,4,3,3],[[1,2,3,4,5,6,11],[1,2,3,4,6,7,10],[1,2,3,5,6,7,9]])
([11,10,10,8,8,8,8,6,5,5,5,5,2],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,10],[1,2,4,5,6,7,8]])
([11,10,10,8,8,7,7,7,7,6,4,4,2],[[1,2,3,4,5,6,11],[1,2,3,4,6,7,10],[1,2,4,5,6,7,8]])
([11,10,9,9,9,9,7,6,5,4,4,4,4],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,7,8,9]])
([11,10,9,9,9,8,7,6,6,5,4,4,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,6,8,9],[1,2,3,5,6,7,8]])
([11,10,9,9,9,7,7,7,6,5,5,3,3],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,5,6,7,9]])
([11,10,9,9,8,8,7,7,6,5,5,4,2],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([11,10,9,9,8,7,7,7,7,6,5,3,2],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([11,10,9,8,8,8,8,7,6,5,5,5,1],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,3,4,5,6,7,8]])
([11,10,9,8,8,8,7,7,7,6,5,4,1],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[1,2,3,4,6,7,9],[1,3,4,5,6,7,8]])
([11,10,8,8,8,8,8,7,7,6,5,5],[[1,2,3,4,5,6,11],[1,2,3,4,5,7,10],[2,3,4,5,6,7,8]])
([11,9,9,9,9,9,8,6,6,4,4,4,3],[[1,2,3,4,5,6,11],[1,2,3,4,7,8,9],[1,2,3,5,6,7,8]])
([11,9,9,9,9,9,7,6,6,6,4,3,3],[[1,2,3,4,5,6,11],[1,2,3,4,6,8,9],[1,2,3,5,6,7,9]])
([11,9,9,9,9,8,8,6,6,6,4,4,2],[[1,2,3,4,5,6,11],[1,2,3,4,6,8,9],[1,2,4,5,6,7,8]])
([11,9,9,9,9,8,7,7,6,6,5,3,2],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([11,9,9,9,9,7,7,7,7,6,6,2,2],[[1,2,3,4,5,6,11],[1,2,4,5,6,7,9]])
([11,9,9,9,8,8,8,7,6,6,5,4,1],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,3,4,5,6,7,8]])
([11,9,9,9,8,8,7,7,7,6,6,3,1],[[1,2,3,4,5,6,11],[1,2,3,5,6,7,9],[1,3,4,5,6,7,8]])
([11,9,9,8,8,8,8,8,6,6,5,5],[[1,2,3,4,5,6,11],[1,2,3,4,5,8,9],[2,3,4,5,6,7,8]])
([11,9,9,8,8,8,8,7,7,6,6,4],[[1,2,3,4,5,6,11],[1,2,3,4,6,7,9],[2,3,4,5,6,7,8]])
([10,10,10,10,10,7,7,5,5,5,4,4,4],[[1,2,3,4,5,9,10],[1,2,3,4,6,7,10]])
([10,10,10,10,9,9,6,5,5,5,4,4,4],[[1,2,3,4,5,9,10],[1,2,3,4,6,8,9]])
([10,10,10,10,9,8,7,6,5,4,4,4,4],[[1,2,3,4,5,8,10],[1,2,3,4,6,7,10],[1,2,3,4,6,8,9]])
([10,10,10,10,9,8,7,5,5,5,5,4,3],[[1,2,3,4,5,9,10],[1,2,3,4,6,7,9],[1,2,3,5,6,7,8]])
([10,10,10,10,8,8,8,5,5,5,5,5,2],[[1,2,3,4,5,9,10],[1,2,4,5,6,7,8]])
([10,10,10,10,8,8,7,7,5,5,4,4,3],[[1,2,3,4,5,8,10],[1,2,3,4,6,7,10],[1,2,3,5,6,7,8]])
([10,10,10,10,7,7,7,7,7,7,3,3,3],[[1,2,3,5,6,7,10]])
([10,10,10,9,9,9,8,5,5,4,4,4,4],[[1,2,3,4,5,8,10],[1,2,3,4,7,8,9]])
([10,10,10,9,9,9,7,7,4,4,4,4,4],[[1,2,3,4,6,7,10],[1,2,3,4,7,8,9]])
([10,10,10,9,9,8,8,6,5,5,4,4,3],[[1,2,3,4,5,8,10],[1,2,3,4,6,8,9],[1,2,3,5,6,7,8]])
([10,10,10,9,9,8,7,7,6,4,4,4,3],[[1,2,3,4,6,7,10],[1,2,3,4,6,8,9],[1,2,3,5,6,7,8]])
([10,10,10,9,9,8,7,7,5,5,5,3,3],[[1,2,3,4,5,8,10],[1,2,3,5,6,7,9]])
([10,10,10,9,9,7,7,7,7,5,4,3,3],[[1,2,3,4,5,8,9],[1,2,3,4,6,7,10],[1,2,3,5,6,7,9]])
([10,10,10,9,8,8,8,7,5,5,5,4,2],[[1,2,3,4,5,8,10],[1,2,3,4,6,7,9],[1,2,4,5,6,7,8]])
([10,10,10,9,8,8,7,7,7,5,4,4,2],[[1,2,3,4,5,8,9],[1,2,3,4,6,7,10],[1,2,4,5,6,7,8]])
([10,10,10,9,8,7,7,7,7,7,4,3,2],[[1,2,3,4,6,7,10],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([10,10,10,8,8,8,8,8,5,5,5,5,1],[[1,2,3,4,5,8,10],[1,3,4,5,6,7,8]])
([10,10,10,8,8,8,7,7,7,7,4,4,1],[[1,2,3,4,6,7,10],[1,3,4,5,6,7,8]])
([10,10,9,9,9,9,8,7,5,4,4,4,3],[[1,2,3,4,5,7,10],[1,2,3,4,7,8,9],[1,2,3,5,6,7,8]])
([10,10,9,9,9,9,7,7,6,5,4,3,3],[[1,2,3,4,5,7,10],[1,2,3,4,6,8,9],[1,2,3,5,6,7,9]])
([10,10,9,9,9,8,8,7,6,5,4,4,2],[[1,2,3,4,5,7,10],[1,2,3,4,6,8,9],[1,2,4,5,6,7,8]])
([10,10,9,9,9,8,7,7,7,5,5,3,2],[[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([10,10,9,9,9,7,7,7,7,7,5,2,2],[[1,2,3,4,5,7,10],[1,2,4,5,6,7,9]])
([10,10,9,9,8,8,8,7,7,5,5,4,1],[[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[1,3,4,5,6,7,8]])
([10,10,9,9,8,8,7,7,7,7,5,3,1],[[1,2,3,4,5,7,10],[1,2,3,5,6,7,9],[1,3,4,5,6,7,8]])
([10,10,9,8,8,8,8,8,7,5,5,5],[[1,2,3,4,5,7,10],[1,2,3,4,5,8,9],[2,3,4,5,6,7,8]])
([10,10,9,8,8,8,8,7,7,7,5,4],[[1,2,3,4,5,7,10],[1,2,3,4,6,7,9],[2,3,4,5,6,7,8]])
([10,9,9,9,9,9,9,7,6,4,4,3,3],[[1,2,3,4,5,6,10],[1,2,3,4,7,8,9],[1,2,3,5,6,7,9]])
([10,9,9,9,9,9,9,6,6,6,3,3,3],[[1,2,3,4,5,6,10],[1,2,3,5,6,8,9]])
([10,9,9,9,9,9,8,8,6,4,4,4,2],[[1,2,3,4,5,6,10],[1,2,3,4,7,8,9],[1,2,4,5,6,7,8]])
([10,9,9,9,9,9,8,7,6,6,4,3,2],[[1,2,3,4,5,6,10],[1,2,3,4,6,8,9],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([10,9,9,9,9,9,7,7,7,6,5,2,2],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,2,4,5,6,7,9]])
([10,9,9,9,9,8,8,8,6,6,4,4,1],[[1,2,3,4,5,6,10],[1,2,3,4,6,8,9],[1,3,4,5,6,7,8]])
([10,9,9,9,9,8,8,7,7,6,5,3,1],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,2,3,5,6,7,9],[1,3,4,5,6,7,8]])
([10,9,9,9,9,8,7,7,7,7,6,2,1],[[1,2,3,4,5,6,10],[1,2,4,5,6,7,9],[1,3,4,5,6,7,8]])
([10,9,9,9,8,8,8,8,7,6,5,4],[[1,2,3,4,5,6,10],[1,2,3,4,5,8,9],[1,2,3,4,6,7,9],[2,3,4,5,6,7,8]])
([10,9,9,9,8,8,8,7,7,7,6,3],[[1,2,3,4,5,6,10],[1,2,3,5,6,7,9],[2,3,4,5,6,7,8]])
([9,9,9,9,9,9,9,9,6,4,3,3,3],[[1,2,3,4,7,8,9],[1,2,3,5,6,8,9]])
([9,9,9,9,9,9,9,8,7,4,4,3,2],[[1,2,3,4,7,8,9],[1,2,3,5,6,7,9],[1,2,4,5,6,7,8]])
([9,9,9,9,9,9,9,8,6,6,3,3,2],[[1,2,3,5,6,8,9],[1,2,4,5,6,7,8]])
([9,9,9,9,9,9,9,7,7,6,4,2,2],[[1,2,3,4,6,8,9],[1,2,4,5,6,7,9]])
([9,9,9,9,9,9,8,8,8,4,4,4,1],[[1,2,3,4,7,8,9],[1,3,4,5,6,7,8]])
([9,9,9,9,9,9,8,8,7,6,4,3,1],[[1,2,3,4,6,8,9],[1,2,3,5,6,7,9],[1,3,4,5,6,7,8]])
([9,9,9,9,9,9,8,7,7,7,5,2,1],[[1,2,3,4,5,8,9],[1,2,4,5,6,7,9],[1,3,4,5,6,7,8]])
([9,9,9,9,9,9,7,7,7,7,7,1,1],[[1,3,4,5,6,7,9]])
([9,9,9,9,9,8,8,8,8,6,4,4],[[1,2,3,4,6,8,9],[2,3,4,5,6,7,8]])
([9,9,9,9,9,8,8,8,7,7,5,3],[[1,2,3,4,5,8,9],[1,2,3,5,6,7,9],[2,3,4,5,6,7,8]])
([9,9,9,9,9,8,8,7,7,7,7,2],[[1,2,4,5,6,7,9],[2,3,4,5,6,7,8]])


m = 9
-----

n = 1
([9],[[1,2,3,4,5,6,7,8,9]])



n = 2
([10,8],[[1,2,3,4,5,6,7,8,10]])



n = 3
([11,8,8],[[1,2,3,4,5,6,7,8,11]])
([10,10,7],[[1,2,3,4,5,6,7,9,10]])



n = 4
([12,8,8,8],[[1,2,3,4,5,6,7,8,12]])
([11,10,8,7],[[1,2,3,4,5,6,7,8,11],[1,2,3,4,5,6,7,9,10]])
([10,10,10,6],[[1,2,3,4,5,6,8,9,10]])



n = 5

([13,8,8,8,8],[[1,2,3,4,5,6,7,8,13]])
([12,10,8,8,7],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,9,10]])
([11,11,9,7,7],[[1,2,3,4,5,6,7,9,11]])
([11,10,10,8,6],[[1,2,3,4,5,6,7,8,11],[1,2,3,4,5,6,8,9,10]])
([10,10,10,10,5],[[1,2,3,4,5,7,8,9,10]])


n = 6
([14,8,8,8,8,8],[[1,2,3,4,5,6,7,8,14]])
([13,10,8,8,8,7],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,9,10]])
([12,11,9,8,7,7],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,9,11]])
([12,10,10,8,8,6],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,8,9,10]])
([11,11,11,7,7,7],[[1,2,3,4,5,6,7,10,11]])
([11,11,10,9,7,6],[[1,2,3,4,5,6,7,9,11],[1,2,3,4,5,6,8,9,10]])
([11,10,10,10,8,5],[[1,2,3,4,5,6,7,8,11],[1,2,3,4,5,7,8,9,10]])
([10,10,10,10,10,4],[[1,2,3,4,6,7,8,9,10]])


n = 7
([15,8,8,8,8,8,8],[[1,2,3,4,5,6,7,8,15]])
([14,10,8,8,8,8,7],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,7,9,10]])
([13,11,9,8,8,7,7],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,9,11]])
([13,10,10,8,8,8,6],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,8,9,10]])
([12,12,9,9,7,7,7],[[1,2,3,4,5,6,7,9,12]])
([12,11,11,8,7,7,7],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,10,11]])
([12,11,10,9,8,7,6],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,9,11],[1,2,3,4,5,6,8,9,10]])
([12,10,10,10,8,8,5],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,7,8,9,10]])
([11,11,11,10,7,7,6],[[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,10]])
([11,11,11,9,9,6,6],[[1,2,3,4,5,6,8,9,11]])
([11,11,10,10,9,7,5],[[1,2,3,4,5,6,7,9,11],[1,2,3,4,5,7,8,9,10]])
([11,10,10,10,10,8,4],[[1,2,3,4,5,6,7,8,11],[1,2,3,4,6,7,8,9,10]])
([10,10,10,10,10,10,3],[[1,2,3,5,6,7,8,9,10]])


n = 8
([16,8,8,8,8,8,8,8],[[1,2,3,4,5,6,7,8,16]])
([15,10,8,8,8,8,8,7],[[1,2,3,4,5,6,7,8,15],[1,2,3,4,5,6,7,9,10]])
([14,11,9,8,8,8,7,7],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,7,9,11]])
([14,10,10,8,8,8,8,6],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,8,9,10]])
([13,12,9,9,8,7,7,7],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,9,12]])
([13,11,11,8,8,7,7,7],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,10,11]])
([13,11,10,9,8,8,7,6],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,9,11],[1,2,3,4,5,6,8,9,10]])
([13,10,10,10,8,8,8,5],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,7,8,9,10]])
([12,12,11,9,7,7,7,7],[[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,7,10,11]])
([12,12,10,9,9,7,7,6],[[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,8,9,10]])
([12,11,11,10,8,7,7,6],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,10]])
([12,11,11,9,9,8,6,6],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,8,9,11]])
([12,11,10,10,9,8,7,5],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,9,11],[1,2,3,4,5,7,8,9,10]])
([12,10,10,10,10,8,8,4],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,6,7,8,9,10]])
([11,11,11,11,9,7,6,6],[[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,11]])
([11,11,11,10,10,7,7,5],[[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,7,8,9,10]])
([11,11,11,10,9,9,6,5],[[1,2,3,4,5,6,8,9,11],[1,2,3,4,5,7,8,9,10]])
([11,11,10,10,10,9,7,4],[[1,2,3,4,5,6,7,9,11],[1,2,3,4,6,7,8,9,10]])
([11,10,10,10,10,10,8,3],[[1,2,3,4,5,6,7,8,11],[1,2,3,5,6,7,8,9,10]])
([10,10,10,10,10,10,10,2],[[1,2,4,5,6,7,8,9,10]])



n = 9
([17,8,8,8,8,8,8,8,8],[[1,2,3,4,5,6,7,8,17]])
([16,10,8,8,8,8,8,8,7],[[1,2,3,4,5,6,7,8,16],[1,2,3,4,5,6,7,9,10]])
([15,11,9,8,8,8,8,7,7],[[1,2,3,4,5,6,7,8,15],[1,2,3,4,5,6,7,9,11]])
([15,10,10,8,8,8,8,8,6],[[1,2,3,4,5,6,7,8,15],[1,2,3,4,5,6,8,9,10]])
([14,12,9,9,8,8,7,7,7],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,7,9,12]])
([14,11,11,8,8,8,7,7,7],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,7,10,11]])
([14,11,10,9,8,8,8,7,6],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,7,9,11],[1,2,3,4,5,6,8,9,10]])
([14,10,10,10,8,8,8,8,5],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,7,8,9,10]])
([13,13,9,9,9,7,7,7,7],[[1,2,3,4,5,6,7,9,13]])
([13,12,11,9,8,7,7,7,7],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,7,10,11]])
([13,12,10,9,9,8,7,7,6],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,8,9,10]])
([13,11,11,10,8,8,7,7,6],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,10]])
([13,11,11,9,9,8,8,6,6],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,8,9,11]])
([13,11,10,10,9,8,8,7,5],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,9,11],[1,2,3,4,5,7,8,9,10]])
([13,10,10,10,10,8,8,8,4],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,6,7,8,9,10]])
([12,12,12,10,7,7,7,7,7],[[1,2,3,4,5,6,7,10,12]])
([12,12,11,10,9,7,7,7,6],[[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,10]])
([12,12,11,9,9,9,7,6,6],[[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,8,9,11]])
([12,12,10,10,9,9,7,7,5],[[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,7,8,9,10]])
([12,11,11,11,9,8,7,6,6],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,11]])
([12,11,11,10,10,8,7,7,5],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,7,8,9,10]])
([12,11,11,10,9,9,8,6,5],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,8,9,11],[1,2,3,4,5,7,8,9,10]])
([12,11,10,10,10,9,8,7,4],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,9,11],[1,2,3,4,6,7,8,9,10]])
([12,10,10,10,10,10,8,8,3],[[1,2,3,4,5,6,7,8,12],[1,2,3,5,6,7,8,9,10]])
([11,11,11,11,11,8,6,6,6],[[1,2,3,4,5,6,8,10,11]])
([11,11,11,11,10,9,7,6,5],[[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,11],[1,2,3,4,5,7,8,9,10]])
([11,11,11,11,9,9,9,5,5],[[1,2,3,4,5,7,8,9,11]])
([11,11,11,10,10,10,7,7,4],[[1,2,3,4,5,6,7,10,11],[1,2,3,4,6,7,8,9,10]])
([11,11,11,10,10,9,9,6,4],[[1,2,3,4,5,6,8,9,11],[1,2,3,4,6,7,8,9,10]])
([11,11,10,10,10,10,9,7,3],[[1,2,3,4,5,6,7,9,11],[1,2,3,5,6,7,8,9,10]])
([11,10,10,10,10,10,10,8,2],[[1,2,3,4,5,6,7,8,11],[1,2,4,5,6,7,8,9,10]])
([10,10,10,10,10,10,10,10,1],[[1,3,4,5,6,7,8,9,10]])


n = 10
([18,8,8,8,8,8,8,8,8,8],[[1,2,3,4,5,6,7,8,18]])
([17,10,8,8,8,8,8,8,8,7],[[1,2,3,4,5,6,7,8,17],[1,2,3,4,5,6,7,9,10]])
([16,11,9,8,8,8,8,8,7,7],[[1,2,3,4,5,6,7,8,16],[1,2,3,4,5,6,7,9,11]])
([16,10,10,8,8,8,8,8,8,6],[[1,2,3,4,5,6,7,8,16],[1,2,3,4,5,6,8,9,10]])
([15,12,9,9,8,8,8,7,7,7],[[1,2,3,4,5,6,7,8,15],[1,2,3,4,5,6,7,9,12]])
([15,11,11,8,8,8,8,7,7,7],[[1,2,3,4,5,6,7,8,15],[1,2,3,4,5,6,7,10,11]])
([15,11,10,9,8,8,8,8,7,6],[[1,2,3,4,5,6,7,8,15],[1,2,3,4,5,6,7,9,11],[1,2,3,4,5,6,8,9,10]])
([15,10,10,10,8,8,8,8,8,5],[[1,2,3,4,5,6,7,8,15],[1,2,3,4,5,7,8,9,10]])
([14,13,9,9,9,8,7,7,7,7],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,7,9,13]])
([14,12,11,9,8,8,7,7,7,7],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,7,10,11]])
([14,12,10,9,9,8,8,7,7,6],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,8,9,10]])
([14,11,11,10,8,8,8,7,7,6],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,10]])
([14,11,11,9,9,8,8,8,6,6],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,8,9,11]])
([14,11,10,10,9,8,8,8,7,5],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,5,6,7,9,11],[1,2,3,4,5,7,8,9,10]])
([14,10,10,10,10,8,8,8,8,4],[[1,2,3,4,5,6,7,8,14],[1,2,3,4,6,7,8,9,10]])
([13,13,11,9,9,7,7,7,7,7],[[1,2,3,4,5,6,7,9,13],[1,2,3,4,5,6,7,10,11]])
([13,13,10,9,9,9,7,7,7,6],[[1,2,3,4,5,6,7,9,13],[1,2,3,4,5,6,8,9,10]])
([13,12,12,10,8,7,7,7,7,7],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,10,12]])
([13,12,11,10,9,8,7,7,7,6],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,10]])
([13,12,11,9,9,9,8,7,6,6],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,8,9,11]])
([13,12,10,10,9,9,8,7,7,5],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,7,8,9,10]])
([13,11,11,11,9,8,8,7,6,6],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,11]])
([13,11,11,10,10,8,8,7,7,5],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,7,8,9,10]])
([13,11,11,10,9,9,8,8,6,5],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,8,9,11],[1,2,3,4,5,7,8,9,10]])
([13,11,10,10,10,9,8,8,7,4],[[1,2,3,4,5,6,7,8,13],[1,2,3,4,5,6,7,9,11],[1,2,3,4,6,7,8,9,10]])
([13,10,10,10,10,10,8,8,8,3],[[1,2,3,4,5,6,7,8,13],[1,2,3,5,6,7,8,9,10]])
([12,12,12,12,7,7,7,7,7,7],[[1,2,3,4,5,6,7,11,12]])
([12,12,12,10,10,7,7,7,7,6],[[1,2,3,4,5,6,7,10,12],[1,2,3,4,5,6,8,9,10]])
([12,12,12,9,9,9,9,6,6,6],[[1,2,3,4,5,6,8,9,12]])
([12,12,11,11,9,9,7,7,6,6],[[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,11]])
([12,12,11,10,10,9,7,7,7,5],[[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,7,8,9,10]])
([12,12,11,10,9,9,9,7,6,5],[[1,2,3,4,5,6,7,9,12],[1,2,3,4,5,6,8,9,11],[1,2,3,4,5,7,8,9,10]])
([12,12,10,10,10,9,9,7,7,4],[[1,2,3,4,5,6,7,9,12],[1,2,3,4,6,7,8,9,10]])
([12,11,11,11,11,8,8,6,6,6],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,8,10,11]])
([12,11,11,11,10,9,8,7,6,5],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,11],[1,2,3,4,5,7,8,9,10]])
([12,11,11,11,9,9,9,8,5,5],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,7,8,9,11]])
([12,11,11,10,10,10,8,7,7,4],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,10,11],[1,2,3,4,6,7,8,9,10]])
([12,11,11,10,10,9,9,8,6,4],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,8,9,11],[1,2,3,4,6,7,8,9,10]])
([12,11,10,10,10,10,9,8,7,3],[[1,2,3,4,5,6,7,8,12],[1,2,3,4,5,6,7,9,11],[1,2,3,5,6,7,8,9,10]])
([12,10,10,10,10,10,10,8,8,2],[[1,2,3,4,5,6,7,8,12],[1,2,4,5,6,7,8,9,10]])
([11,11,11,11,11,11,6,6,6,6],[[1,2,3,4,5,6,9,10,11]])
([11,11,11,11,11,10,8,6,6,5],[[1,2,3,4,5,6,8,10,11],[1,2,3,4,5,7,8,9,10]])
([11,11,11,11,11,9,9,7,5,5],[[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,7,8,9,11]])
([11,11,11,11,10,10,9,7,6,4],[[1,2,3,4,5,6,7,10,11],[1,2,3,4,5,6,8,9,11],[1,2,3,4,6,7,8,9,10]])
([11,11,11,11,10,9,9,9,5,4],[[1,2,3,4,5,7,8,9,11],[1,2,3,4,6,7,8,9,10]])
([11,11,11,10,10,10,10,7,7,3],[[1,2,3,4,5,6,7,10,11],[1,2,3,5,6,7,8,9,10]])
([11,11,11,10,10,10,9,9,6,3],[[1,2,3,4,5,6,8,9,11],[1,2,3,5,6,7,8,9,10]])
([11,11,10,10,10,10,10,9,7,2],[[1,2,3,4,5,6,7,9,11],[1,2,4,5,6,7,8,9,10]])
([11,10,10,10,10,10,10,10,8,1],[[1,2,3,4,5,6,7,8,11],[1,3,4,5,6,7,8,9,10]])
([10,10,10,10,10,10,10,10,10],[[2,3,4,5,6,7,8,9,10]])


m = 11
------

n = 1
([11],[[1,2,3,4,5,6,7,8,9,10,11]])


n = 2
([12,10],[[1,2,3,4,5,6,7,8,9,10,12]])


n = 3
([13,10,10],[[1,2,3,4,5,6,7,8,9,10,13]])
([12,12,9],[[1,2,3,4,5,6,7,8,9,11,12]])


n = 4
([14,10,10,10],[[1,2,3,4,5,6,7,8,9,10,14]])
([13,12,10,9],[[1,2,3,4,5,6,7,8,9,10,13],[1,2,3,4,5,6,7,8,9,11,12]])
([12,12,12,8],[[1,2,3,4,5,6,7,8,10,11,12]])


n = 5
([15,10,10,10,10],[[1,2,3,4,5,6,7,8,9,10,15]])
([14,12,10,10,9],[[1,2,3,4,5,6,7,8,9,10,14],[1,2,3,4,5,6,7,8,9,11,12]])
([13,13,11,9,9],[[1,2,3,4,5,6,7,8,9,11,13]])
([13,12,12,10,8],[[1,2,3,4,5,6,7,8,9,10,13],[1,2,3,4,5,6,7,8,10,11,12]])
([12,12,12,12,7],[[1,2,3,4,5,6,7,9,10,11,12]])


n = 6
([16,10,10,10,10,10],[[1,2,3,4,5,6,7,8,9,10,16]])
([15,12,10,10,10,9],[[1,2,3,4,5,6,7,8,9,10,15],[1,2,3,4,5,6,7,8,9,11,12]])
([14,13,11,10,9,9],[[1,2,3,4,5,6,7,8,9,10,14],[1,2,3,4,5,6,7,8,9,11,13]])
([14,12,12,10,10,8],[[1,2,3,4,5,6,7,8,9,10,14],[1,2,3,4,5,6,7,8,10,11,12]])
([13,13,13,9,9,9],[[1,2,3,4,5,6,7,8,9,12,13]])
([13,13,12,11,9,8],[[1,2,3,4,5,6,7,8,9,11,13],[1,2,3,4,5,6,7,8,10,11,12]])
([13,12,12,12,10,7],[[1,2,3,4,5,6,7,8,9,10,13],[1,2,3,4,5,6,7,9,10,11,12]])
([12,12,12,12,12,6],[[1,2,3,4,5,6,8,9,10,11,12]])


n = 7
([17,10,10,10,10,10,10],[[1,2,3,4,5,6,7,8,9,10,17]])
([16,12,10,10,10,10,9],[[1,2,3,4,5,6,7,8,9,10,16],[1,2,3,4,5,6,7,8,9,11,12]])
([15,13,11,10,10,9,9],[[1,2,3,4,5,6,7,8,9,10,15],[1,2,3,4,5,6,7,8,9,11,13]])
([15,12,12,10,10,10,8],[[1,2,3,4,5,6,7,8,9,10,15],[1,2,3,4,5,6,7,8,10,11,12]])
([14,14,11,11,9,9,9],[[1,2,3,4,5,6,7,8,9,11,14]])
([14,13,13,10,9,9,9],[[1,2,3,4,5,6,7,8,9,10,14],[1,2,3,4,5,6,7,8,9,12,13]])
([14,13,12,11,10,9,8],[[1,2,3,4,5,6,7,8,9,10,14],[1,2,3,4,5,6,7,8,9,11,13],[1,2,3,4,5,6,7,8,10,11,12]])
([14,12,12,12,10,10,7],[[1,2,3,4,5,6,7,8,9,10,14],[1,2,3,4,5,6,7,9,10,11,12]])
([13,13,13,12,9,9,8],[[1,2,3,4,5,6,7,8,9,12,13],[1,2,3,4,5,6,7,8,10,11,12]])
([13,13,13,11,11,8,8],[[1,2,3,4,5,6,7,8,10,11,13]])
([13,13,12,12,11,9,7],[[1,2,3,4,5,6,7,8,9,11,13],[1,2,3,4,5,6,7,9,10,11,12]])
([13,12,12,12,12,10,6],[[1,2,3,4,5,6,7,8,9,10,13],[1,2,3,4,5,6,8,9,10,11,12]])
([12,12,12,12,12,12,5],[[1,2,3,4,5,7,8,9,10,11,12]])


n = 8
([18,10,10,10,10,10,10,10],[[1,2,3,4,5,6,7,8,9,10,18]])
([17,12,10,10,10,10,10,9],[[1,2,3,4,5,6,7,8,9,10,17],[1,2,3,4,5,6,7,8,9,11,12]])
([16,13,11,10,10,10,9,9],[[1,2,3,4,5,6,7,8,9,10,16],[1,2,3,4,5,6,7,8,9,11,13]])
([16,12,12,10,10,10,10,8],[[1,2,3,4,5,6,7,8,9,10,16],[1,2,3,4,5,6,7,8,10,11,12]])
([15,14,11,11,10,9,9,9],[[1,2,3,4,5,6,7,8,9,10,15],[1,2,3,4,5,6,7,8,9,11,14]])
([15,13,13,10,10,9,9,9],[[1,2,3,4,5,6,7,8,9,10,15],[1,2,3,4,5,6,7,8,9,12,13]])
([15,13,12,11,10,10,9,8],[[1,2,3,4,5,6,7,8,9,10,15],[1,2,3,4,5,6,7,8,9,11,13],[1,2,3,4,5,6,7,8,10,11,12]])
([15,12,12,12,10,10,10,7],[[1,2,3,4,5,6,7,8,9,10,15],[1,2,3,4,5,6,7,9,10,11,12]])
([14,14,13,11,9,9,9,9],[[1,2,3,4,5,6,7,8,9,11,14],[1,2,3,4,5,6,7,8,9,12,13]])
([14,14,12,11,11,9,9,8],[[1,2,3,4,5,6,7,8,9,11,14],[1,2,3,4,5,6,7,8,10,11,12]])
([14,13,13,12,10,9,9,8],[[1,2,3,4,5,6,7,8,9,10,14],[1,2,3,4,5,6,7,8,9,12,13],[1,2,3,4,5,6,7,8,10,11,12]])
([14,13,13,11,11,10,8,8],[[1,2,3,4,5,6,7,8,9,10,14],[1,2,3,4,5,6,7,8,10,11,13]])
([14,13,12,12,11,10,9,7],[[1,2,3,4,5,6,7,8,9,10,14],[1,2,3,4,5,6,7,8,9,11,13],[1,2,3,4,5,6,7,9,10,11,12]])
([14,12,12,12,12,10,10,6],[[1,2,3,4,5,6,7,8,9,10,14],[1,2,3,4,5,6,8,9,10,11,12]])
([13,13,13,13,11,9,8,8],[[1,2,3,4,5,6,7,8,9,12,13],[1,2,3,4,5,6,7,8,10,11,13]])
([13,13,13,12,12,9,9,7],[[1,2,3,4,5,6,7,8,9,12,13],[1,2,3,4,5,6,7,9,10,11,12]])
([13,13,13,12,11,11,8,7],[[1,2,3,4,5,6,7,8,10,11,13],[1,2,3,4,5,6,7,9,10,11,12]])
([13,13,12,12,12,11,9,6],[[1,2,3,4,5,6,7,8,9,11,13],[1,2,3,4,5,6,8,9,10,11,12]])
([13,12,12,12,12,12,10,5],[[1,2,3,4,5,6,7,8,9,10,13],[1,2,3,4,5,7,8,9,10,11,12]])
([12,12,12,12,12,12,12,4],[[1,2,3,4,6,7,8,9,10,11,12]])



m = 13
------

n = 1
([13],[[1,2,3,4,5,6,7,8,9,10,11,12,13]])


n = 2
([14,12],[[1,2,3,4,5,6,7,8,9,10,11,12,14]])


n = 3
([15,12,12],[[1,2,3,4,5,6,7,8,9,10,11,12,15]])
([14,14,11],[[1,2,3,4,5,6,7,8,9,10,11,13,14]])


n = 4
([16,12,12,12],[[1,2,3,4,5,6,7,8,9,10,11,12,16]])
([15,14,12,11],[[1,2,3,4,5,6,7,8,9,10,11,13,14],[1,2,3,4,5,6,7,8,9,10,11,12,15]])
([14,14,14,10],[[1,2,3,4,5,6,7,8,9,10,12,13,14]])


n = 5
([17,12,12,12,12],[[1,2,3,4,5,6,7,8,9,10,11,12,17]])
([16,14,12,12,11],[[1,2,3,4,5,6,7,8,9,10,11,13,14],[1,2,3,4,5,6,7,8,9,10,11,12,16]])
([15,15,13,11,11],[[1,2,3,4,5,6,7,8,9,10,11,13,15]])
([15,14,14,12,10],[[1,2,3,4,5,6,7,8,9,10,12,13,14],[1,2,3,4,5,6,7,8,9,10,11,12,15]])
([14,14,14,14,9],[[1,2,3,4,5,6,7,8,9,11,12,13,14]])


n = 6
([18,12,12,12,12,12],[[1,2,3,4,5,6,7,8,9,10,11,12,18]])
([17,14,12,12,12,11],[[1,2,3,4,5,6,7,8,9,10,11,13,14],[1,2,3,4,5,6,7,8,9,10,11,12,17]])
([16,15,13,12,11,11],[[1,2,3,4,5,6,7,8,9,10,11,13,15],[1,2,3,4,5,6,7,8,9,10,11,12,16]])
([16,14,14,12,12,10],[[1,2,3,4,5,6,7,8,9,10,12,13,14],[1,2,3,4,5,6,7,8,9,10,11,12,16]])
([15,15,15,11,11,11],[[1,2,3,4,5,6,7,8,9,10,11,14,15]])
([15,15,14,13,11,10],[[1,2,3,4,5,6,7,8,9,10,12,13,14],[1,2,3,4,5,6,7,8,9,10,11,13,15]])
([15,14,14,14,12,9],[[1,2,3,4,5,6,7,8,9,11,12,13,14],[1,2,3,4,5,6,7,8,9,10,11,12,15]])
([14,14,14,14,14,8],[[1,2,3,4,5,6,7,8,10,11,12,13,14]])


n = 7
([19,12,12,12,12,12,12],[[1,2,3,4,5,6,7,8,9,10,11,12,19]])
([18,14,12,12,12,12,11],[[1,2,3,4,5,6,7,8,9,10,11,13,14],[1,2,3,4,5,6,7,8,9,10,11,12,18]])
([17,15,13,12,12,11,11],[[1,2,3,4,5,6,7,8,9,10,11,13,15],[1,2,3,4,5,6,7,8,9,10,11,12,17]])
([17,14,14,12,12,12,10],[[1,2,3,4,5,6,7,8,9,10,12,13,14],[1,2,3,4,5,6,7,8,9,10,11,12,17]])
([16,16,13,13,11,11,11],[[1,2,3,4,5,6,7,8,9,10,11,13,16]])
([16,15,15,12,11,11,11],[[1,2,3,4,5,6,7,8,9,10,11,14,15],[1,2,3,4,5,6,7,8,9,10,11,12,16]])
([16,15,14,13,12,11,10],[[1,2,3,4,5,6,7,8,9,10,12,13,14],[1,2,3,4,5,6,7,8,9,10,11,13,15],[1,2,3,4,5,6,7,8,9,10,11,12,16]])
([16,14,14,14,12,12,9],[[1,2,3,4,5,6,7,8,9,11,12,13,14],[1,2,3,4,5,6,7,8,9,10,11,12,16]])
([15,15,15,14,11,11,10],[[1,2,3,4,5,6,7,8,9,10,12,13,14],[1,2,3,4,5,6,7,8,9,10,11,14,15]])
([15,15,15,13,13,10,10],[[1,2,3,4,5,6,7,8,9,10,12,13,15]])
([15,15,14,14,13,11,9],[[1,2,3,4,5,6,7,8,9,11,12,13,14],[1,2,3,4,5,6,7,8,9,10,11,13,15]])
([15,14,14,14,14,12,8],[[1,2,3,4,5,6,7,8,10,11,12,13,14],[1,2,3,4,5,6,7,8,9,10,11,12,15]])
([14,14,14,14,14,14,7],[[1,2,3,4,5,6,7,9,10,11,12,13,14]])


m = 15
------

n = 1
([15],[[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]])


n = 2
([16,14],[[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16]])


n = 3
([17,14,14],[[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17]])
([16,16,13],[[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16]])


n = 4
([18,14,14,14],[[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18]])
([17,16,14,13],[[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17]])
([16,16,16,12],[[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16]])


n = 5
([19,14,14,14,14],[[1,2,3,4,5,6,7,8,9,10,11,12,13,14,19]])
([18,16,14,14,13],[[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18]])
([17,17,15,13,13],[[1,2,3,4,5,6,7,8,9,10,11,12,13,15,17]])
([17,16,16,14,12],[[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17]])
([16,16,16,16,11],[[1,2,3,4,5,6,7,8,9,10,11,13,14,15,16]])


m = 17
------

n = 1
([17],[[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]])


n = 2
([18,16],[[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18]])


n = 3
([19,16,16],[[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,19]])
([18,18,15],[[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18]])



m = 19
------

n = 1
([19],[[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19]])