*****************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
* *
* This information is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
*****************************************************************************
-----------------------------------------------------------------------------
Statistic identifier: St000176
-----------------------------------------------------------------------------
Collection: Gelfand-Tsetlin patterns
-----------------------------------------------------------------------------
Description: The total number of tiles in the Gelfand-Tsetlin pattern.
The tiling of a Gelfand-Tsetlin pattern is the finest partition of the entries in the pattern, such that adjacent (NW,NE,SW,SE) entries that are equal belong to the same part. These parts are called tiles, and each entry in a pattern belongs to exactly one tile.
-----------------------------------------------------------------------------
References: [1] De Loera, Jesús A., McAllister, T. B. Vertices of Gelfand-Tsetlin polytopes [[MathSciNet:2096742]]
-----------------------------------------------------------------------------
Code:
def statistic(P):
"""
sage: P = GelfandTsetlinPattern([[5,4,2,1,0],[5,3,2,0],[5,3,2],[5,2],[4]])
sage: statistic(P)
7
"""
places = [(i, j) for i in range(len(P)) for j in range(len(P[i]))]
tiles = DisjointSet(places)
n = len(P)
for i, j in places:
k, l = (i+1, j-1)
if 0 <= k < n and 0 <= l < len(P[k]) and P[i][j] == P[k][l]:
tiles.union((i,j), (k,l))
k, l = (i+1, j)
if 0 <= k < n and 0 <= l < len(P[k]) and P[i][j] == P[k][l]:
tiles.union((i,j), (k,l))
k, l = (i-1, j+1)
if 0 <= k < n and 0 <= l < len(P[k]) and P[i][j] == P[k][l]:
tiles.union((i,j), (k,l))
return len(list(tiles))
-----------------------------------------------------------------------------
Statistic values:
[[1]] => 1
[[2]] => 1
[[3]] => 1
[[4]] => 1
[[5]] => 1
[[1,0],[0]] => 2
[[1,0],[1]] => 2
[[2,0],[0]] => 2
[[2,0],[1]] => 3
[[2,0],[2]] => 2
[[1,1],[1]] => 1
[[3,0],[0]] => 2
[[3,0],[1]] => 3
[[3,0],[2]] => 3
[[3,0],[3]] => 2
[[2,1],[1]] => 2
[[2,1],[2]] => 2
[[4,0],[0]] => 2
[[4,0],[1]] => 3
[[4,0],[2]] => 3
[[4,0],[3]] => 3
[[4,0],[4]] => 2
[[3,1],[1]] => 2
[[3,1],[2]] => 3
[[3,1],[3]] => 2
[[2,2],[2]] => 1
[[5,0],[0]] => 2
[[5,0],[1]] => 3
[[5,0],[2]] => 3
[[5,0],[3]] => 3
[[5,0],[4]] => 3
[[5,0],[5]] => 2
[[4,1],[1]] => 2
[[4,1],[2]] => 3
[[4,1],[3]] => 3
[[4,1],[4]] => 2
[[3,2],[2]] => 2
[[3,2],[3]] => 2
[[6,0],[0]] => 2
[[6,0],[1]] => 3
[[6,0],[2]] => 3
[[6,0],[3]] => 3
[[6,0],[4]] => 3
[[6,0],[5]] => 3
[[6,0],[6]] => 2
[[5,1],[1]] => 2
[[5,1],[2]] => 3
[[5,1],[3]] => 3
[[5,1],[4]] => 3
[[5,1],[5]] => 2
[[4,2],[2]] => 2
[[4,2],[3]] => 3
[[4,2],[4]] => 2
[[3,3],[3]] => 1
[[1,0,0],[0,0],[0]] => 2
[[1,0,0],[1,0],[0]] => 2
[[1,0,0],[1,0],[1]] => 2
[[2,0,0],[0,0],[0]] => 2
[[2,0,0],[1,0],[0]] => 3
[[2,0,0],[1,0],[1]] => 3
[[2,0,0],[2,0],[0]] => 2
[[2,0,0],[2,0],[1]] => 3
[[2,0,0],[2,0],[2]] => 2
[[1,1,0],[1,0],[0]] => 2
[[1,1,0],[1,0],[1]] => 2
[[1,1,0],[1,1],[1]] => 2
[[3,0,0],[0,0],[0]] => 2
[[3,0,0],[1,0],[0]] => 3
[[3,0,0],[1,0],[1]] => 3
[[3,0,0],[2,0],[0]] => 3
[[3,0,0],[2,0],[1]] => 4
[[3,0,0],[2,0],[2]] => 3
[[3,0,0],[3,0],[0]] => 2
[[3,0,0],[3,0],[1]] => 3
[[3,0,0],[3,0],[2]] => 3
[[3,0,0],[3,0],[3]] => 2
[[2,1,0],[1,0],[0]] => 3
[[2,1,0],[1,0],[1]] => 3
[[2,1,0],[1,1],[1]] => 3
[[2,1,0],[2,0],[0]] => 3
[[2,1,0],[2,0],[1]] => 4
[[2,1,0],[2,0],[2]] => 3
[[2,1,0],[2,1],[1]] => 3
[[2,1,0],[2,1],[2]] => 3
[[1,1,1],[1,1],[1]] => 1
[[4,0,0],[0,0],[0]] => 2
[[4,0,0],[1,0],[0]] => 3
[[4,0,0],[1,0],[1]] => 3
[[4,0,0],[2,0],[0]] => 3
[[4,0,0],[2,0],[1]] => 4
[[4,0,0],[2,0],[2]] => 3
[[4,0,0],[3,0],[0]] => 3
[[4,0,0],[3,0],[1]] => 4
[[4,0,0],[3,0],[2]] => 4
[[4,0,0],[3,0],[3]] => 3
[[4,0,0],[4,0],[0]] => 2
[[4,0,0],[4,0],[1]] => 3
[[4,0,0],[4,0],[2]] => 3
[[4,0,0],[4,0],[3]] => 3
[[4,0,0],[4,0],[4]] => 2
[[3,1,0],[1,0],[0]] => 3
[[3,1,0],[1,0],[1]] => 3
[[3,1,0],[1,1],[1]] => 3
[[3,1,0],[2,0],[0]] => 4
[[3,1,0],[2,0],[1]] => 5
[[3,1,0],[2,0],[2]] => 4
[[3,1,0],[2,1],[1]] => 4
[[3,1,0],[2,1],[2]] => 4
[[3,1,0],[3,0],[0]] => 3
[[3,1,0],[3,0],[1]] => 4
[[3,1,0],[3,0],[2]] => 4
[[3,1,0],[3,0],[3]] => 3
[[3,1,0],[3,1],[1]] => 3
[[3,1,0],[3,1],[2]] => 4
[[3,1,0],[3,1],[3]] => 3
[[2,2,0],[2,0],[0]] => 2
[[2,2,0],[2,0],[1]] => 3
[[2,2,0],[2,0],[2]] => 2
[[2,2,0],[2,1],[1]] => 3
[[2,2,0],[2,1],[2]] => 3
[[2,2,0],[2,2],[2]] => 2
[[2,1,1],[1,1],[1]] => 2
[[2,1,1],[2,1],[1]] => 2
[[2,1,1],[2,1],[2]] => 2
[[5,0,0],[0,0],[0]] => 2
[[5,0,0],[1,0],[0]] => 3
[[5,0,0],[1,0],[1]] => 3
[[5,0,0],[2,0],[0]] => 3
[[5,0,0],[2,0],[1]] => 4
[[5,0,0],[2,0],[2]] => 3
[[5,0,0],[3,0],[0]] => 3
[[5,0,0],[3,0],[1]] => 4
[[5,0,0],[3,0],[2]] => 4
[[5,0,0],[3,0],[3]] => 3
[[5,0,0],[4,0],[0]] => 3
[[5,0,0],[4,0],[1]] => 4
[[5,0,0],[4,0],[2]] => 4
[[5,0,0],[4,0],[3]] => 4
[[5,0,0],[4,0],[4]] => 3
[[5,0,0],[5,0],[1]] => 3
[[5,0,0],[5,0],[2]] => 3
[[5,0,0],[5,0],[3]] => 3
[[5,0,0],[5,0],[4]] => 3
[[5,0,0],[5,0],[5]] => 2
[[4,1,0],[1,0],[0]] => 3
[[4,1,0],[1,0],[1]] => 3
[[4,1,0],[1,1],[1]] => 3
[[4,1,0],[2,0],[0]] => 4
[[4,1,0],[2,0],[1]] => 5
[[4,1,0],[2,0],[2]] => 4
[[4,1,0],[2,1],[1]] => 4
[[4,1,0],[2,1],[2]] => 4
[[4,1,0],[3,0],[0]] => 4
[[4,1,0],[3,0],[1]] => 5
[[4,1,0],[3,0],[2]] => 5
[[4,1,0],[3,0],[3]] => 4
[[4,1,0],[3,1],[1]] => 4
[[4,1,0],[3,1],[2]] => 5
[[4,1,0],[3,1],[3]] => 4
[[4,1,0],[4,0],[0]] => 3
[[4,1,0],[4,0],[1]] => 4
[[4,1,0],[4,0],[2]] => 4
[[4,1,0],[4,0],[3]] => 4
[[4,1,0],[4,0],[4]] => 3
[[4,1,0],[4,1],[1]] => 3
[[4,1,0],[4,1],[2]] => 4
[[4,1,0],[4,1],[3]] => 4
[[4,1,0],[4,1],[4]] => 3
[[3,2,0],[2,0],[0]] => 3
[[3,2,0],[2,0],[1]] => 4
[[3,2,0],[2,0],[2]] => 3
[[3,2,0],[2,1],[1]] => 4
[[3,2,0],[2,1],[2]] => 4
[[3,2,0],[2,2],[2]] => 3
[[3,2,0],[3,0],[0]] => 3
[[3,2,0],[3,0],[1]] => 4
[[3,2,0],[3,0],[2]] => 4
[[3,2,0],[3,0],[3]] => 3
[[3,2,0],[3,1],[1]] => 4
[[3,2,0],[3,1],[2]] => 5
[[3,2,0],[3,1],[3]] => 4
[[3,2,0],[3,2],[2]] => 3
[[3,2,0],[3,2],[3]] => 3
[[3,1,1],[1,1],[1]] => 2
[[3,1,1],[2,1],[1]] => 3
[[3,1,1],[2,1],[2]] => 3
[[3,1,1],[3,1],[1]] => 2
[[3,1,1],[3,1],[2]] => 3
[[3,1,1],[3,1],[3]] => 2
[[2,2,1],[2,1],[1]] => 2
[[2,2,1],[2,1],[2]] => 2
[[2,2,1],[2,2],[2]] => 2
[[3,2,1],[2,1],[1]] => 3
[[3,2,1],[2,1],[2]] => 3
[[3,2,1],[3,1],[1]] => 3
[[3,2,1],[3,1],[2]] => 4
[[3,2,1],[3,1],[3]] => 3
[[3,2,1],[3,2],[2]] => 3
[[3,2,1],[3,2],[3]] => 3
[[1,0,0,0],[0,0,0],[0,0],[0]] => 2
[[1,0,0,0],[1,0,0],[0,0],[0]] => 2
[[1,0,0,0],[1,0,0],[1,0],[0]] => 2
[[1,0,0,0],[1,0,0],[1,0],[1]] => 2
[[2,0,0,0],[0,0,0],[0,0],[0]] => 2
[[2,0,0,0],[1,0,0],[0,0],[0]] => 3
[[2,0,0,0],[1,0,0],[1,0],[0]] => 3
[[2,0,0,0],[1,0,0],[1,0],[1]] => 3
[[2,0,0,0],[2,0,0],[0,0],[0]] => 2
[[2,0,0,0],[2,0,0],[1,0],[0]] => 3
[[2,0,0,0],[2,0,0],[1,0],[1]] => 3
[[2,0,0,0],[2,0,0],[2,0],[0]] => 2
[[2,0,0,0],[2,0,0],[2,0],[1]] => 3
[[2,0,0,0],[2,0,0],[2,0],[2]] => 2
[[1,1,0,0],[1,0,0],[0,0],[0]] => 2
[[1,1,0,0],[1,0,0],[1,0],[0]] => 2
[[1,1,0,0],[1,0,0],[1,0],[1]] => 2
[[1,1,0,0],[1,1,0],[1,0],[0]] => 2
[[1,1,0,0],[1,1,0],[1,0],[1]] => 2
[[1,1,0,0],[1,1,0],[1,1],[1]] => 2
[[3,0,0,0],[0,0,0],[0,0],[0]] => 2
[[3,0,0,0],[1,0,0],[0,0],[0]] => 3
[[3,0,0,0],[1,0,0],[1,0],[0]] => 3
[[3,0,0,0],[1,0,0],[1,0],[1]] => 3
[[3,0,0,0],[2,0,0],[0,0],[0]] => 3
[[3,0,0,0],[2,0,0],[1,0],[0]] => 4
[[3,0,0,0],[2,0,0],[1,0],[1]] => 4
[[3,0,0,0],[2,0,0],[2,0],[0]] => 3
[[3,0,0,0],[2,0,0],[2,0],[1]] => 4
[[3,0,0,0],[2,0,0],[2,0],[2]] => 3
[[3,0,0,0],[3,0,0],[0,0],[0]] => 2
[[3,0,0,0],[3,0,0],[1,0],[0]] => 3
[[3,0,0,0],[3,0,0],[1,0],[1]] => 3
[[3,0,0,0],[3,0,0],[2,0],[0]] => 3
[[3,0,0,0],[3,0,0],[2,0],[1]] => 4
[[3,0,0,0],[3,0,0],[2,0],[2]] => 3
[[3,0,0,0],[3,0,0],[3,0],[0]] => 2
[[3,0,0,0],[3,0,0],[3,0],[1]] => 3
[[3,0,0,0],[3,0,0],[3,0],[2]] => 3
[[3,0,0,0],[3,0,0],[3,0],[3]] => 2
[[2,1,0,0],[1,0,0],[0,0],[0]] => 3
[[2,1,0,0],[1,0,0],[1,0],[0]] => 3
[[2,1,0,0],[1,0,0],[1,0],[1]] => 3
[[2,1,0,0],[1,1,0],[1,0],[0]] => 3
[[2,1,0,0],[1,1,0],[1,0],[1]] => 3
[[2,1,0,0],[1,1,0],[1,1],[1]] => 3
[[2,1,0,0],[2,0,0],[0,0],[0]] => 3
[[2,1,0,0],[2,0,0],[1,0],[0]] => 4
[[2,1,0,0],[2,0,0],[1,0],[1]] => 4
[[2,1,0,0],[2,0,0],[2,0],[0]] => 3
[[2,1,0,0],[2,0,0],[2,0],[1]] => 4
[[2,1,0,0],[2,0,0],[2,0],[2]] => 3
[[2,1,0,0],[2,1,0],[1,0],[0]] => 3
[[2,1,0,0],[2,1,0],[1,0],[1]] => 3
[[2,1,0,0],[2,1,0],[1,1],[1]] => 3
[[2,1,0,0],[2,1,0],[2,0],[0]] => 3
[[2,1,0,0],[2,1,0],[2,0],[1]] => 4
[[2,1,0,0],[2,1,0],[2,0],[2]] => 3
[[2,1,0,0],[2,1,0],[2,1],[1]] => 3
[[2,1,0,0],[2,1,0],[2,1],[2]] => 3
[[1,1,1,0],[1,1,0],[1,0],[0]] => 2
[[1,1,1,0],[1,1,0],[1,0],[1]] => 2
[[1,1,1,0],[1,1,0],[1,1],[1]] => 2
[[1,1,1,0],[1,1,1],[1,1],[1]] => 2
[[4,0,0,0],[0,0,0],[0,0],[0]] => 2
[[4,0,0,0],[1,0,0],[0,0],[0]] => 3
[[4,0,0,0],[1,0,0],[1,0],[0]] => 3
[[4,0,0,0],[1,0,0],[1,0],[1]] => 3
[[4,0,0,0],[2,0,0],[0,0],[0]] => 3
[[4,0,0,0],[2,0,0],[1,0],[0]] => 4
[[4,0,0,0],[2,0,0],[1,0],[1]] => 4
[[4,0,0,0],[2,0,0],[2,0],[0]] => 3
[[4,0,0,0],[2,0,0],[2,0],[1]] => 4
[[4,0,0,0],[2,0,0],[2,0],[2]] => 3
[[4,0,0,0],[3,0,0],[0,0],[0]] => 3
[[4,0,0,0],[3,0,0],[1,0],[0]] => 4
[[4,0,0,0],[3,0,0],[1,0],[1]] => 4
[[4,0,0,0],[3,0,0],[2,0],[0]] => 4
[[4,0,0,0],[3,0,0],[2,0],[1]] => 5
[[4,0,0,0],[3,0,0],[2,0],[2]] => 4
[[4,0,0,0],[3,0,0],[3,0],[0]] => 3
[[4,0,0,0],[3,0,0],[3,0],[1]] => 4
[[4,0,0,0],[3,0,0],[3,0],[2]] => 4
[[4,0,0,0],[3,0,0],[3,0],[3]] => 3
[[4,0,0,0],[4,0,0],[0,0],[0]] => 2
[[4,0,0,0],[4,0,0],[1,0],[0]] => 3
[[4,0,0,0],[4,0,0],[1,0],[1]] => 3
[[4,0,0,0],[4,0,0],[2,0],[0]] => 3
[[4,0,0,0],[4,0,0],[2,0],[1]] => 4
[[4,0,0,0],[4,0,0],[2,0],[2]] => 3
[[4,0,0,0],[4,0,0],[3,0],[0]] => 3
[[4,0,0,0],[4,0,0],[3,0],[1]] => 4
[[4,0,0,0],[4,0,0],[3,0],[2]] => 4
[[4,0,0,0],[4,0,0],[3,0],[3]] => 3
[[4,0,0,0],[4,0,0],[4,0],[0]] => 2
[[4,0,0,0],[4,0,0],[4,0],[1]] => 3
[[4,0,0,0],[4,0,0],[4,0],[2]] => 3
[[4,0,0,0],[4,0,0],[4,0],[3]] => 3
[[4,0,0,0],[4,0,0],[4,0],[4]] => 2
[[3,1,0,0],[1,0,0],[0,0],[0]] => 3
[[3,1,0,0],[1,0,0],[1,0],[0]] => 3
[[3,1,0,0],[1,0,0],[1,0],[1]] => 3
[[3,1,0,0],[1,1,0],[1,0],[0]] => 3
[[3,1,0,0],[1,1,0],[1,0],[1]] => 3
[[3,1,0,0],[1,1,0],[1,1],[1]] => 3
[[3,1,0,0],[2,0,0],[0,0],[0]] => 4
[[3,1,0,0],[2,0,0],[1,0],[0]] => 5
[[3,1,0,0],[2,0,0],[1,0],[1]] => 5
[[3,1,0,0],[2,0,0],[2,0],[0]] => 4
[[3,1,0,0],[2,0,0],[2,0],[1]] => 5
[[3,1,0,0],[2,0,0],[2,0],[2]] => 4
[[3,1,0,0],[2,1,0],[1,0],[0]] => 4
[[3,1,0,0],[2,1,0],[1,0],[1]] => 4
[[3,1,0,0],[2,1,0],[1,1],[1]] => 4
[[3,1,0,0],[2,1,0],[2,0],[0]] => 4
[[3,1,0,0],[2,1,0],[2,0],[1]] => 5
[[3,1,0,0],[2,1,0],[2,0],[2]] => 4
[[3,1,0,0],[2,1,0],[2,1],[1]] => 4
[[3,1,0,0],[2,1,0],[2,1],[2]] => 4
[[3,1,0,0],[3,0,0],[0,0],[0]] => 3
[[3,1,0,0],[3,0,0],[1,0],[0]] => 4
[[3,1,0,0],[3,0,0],[1,0],[1]] => 4
[[3,1,0,0],[3,0,0],[2,0],[0]] => 4
[[3,1,0,0],[3,0,0],[2,0],[1]] => 5
[[3,1,0,0],[3,0,0],[2,0],[2]] => 4
[[3,1,0,0],[3,0,0],[3,0],[0]] => 3
[[3,1,0,0],[3,0,0],[3,0],[1]] => 4
[[3,1,0,0],[3,0,0],[3,0],[2]] => 4
[[3,1,0,0],[3,0,0],[3,0],[3]] => 3
[[3,1,0,0],[3,1,0],[1,0],[0]] => 3
[[3,1,0,0],[3,1,0],[1,0],[1]] => 3
[[3,1,0,0],[3,1,0],[1,1],[1]] => 3
[[3,1,0,0],[3,1,0],[2,0],[0]] => 4
[[3,1,0,0],[3,1,0],[2,0],[1]] => 5
[[3,1,0,0],[3,1,0],[2,0],[2]] => 4
[[3,1,0,0],[3,1,0],[2,1],[1]] => 4
[[3,1,0,0],[3,1,0],[2,1],[2]] => 4
[[3,1,0,0],[3,1,0],[3,0],[0]] => 3
[[3,1,0,0],[3,1,0],[3,0],[1]] => 4
[[3,1,0,0],[3,1,0],[3,0],[2]] => 4
[[3,1,0,0],[3,1,0],[3,0],[3]] => 3
[[3,1,0,0],[3,1,0],[3,1],[1]] => 3
[[3,1,0,0],[3,1,0],[3,1],[2]] => 4
[[3,1,0,0],[3,1,0],[3,1],[3]] => 3
[[2,2,0,0],[2,0,0],[0,0],[0]] => 2
[[2,2,0,0],[2,0,0],[1,0],[0]] => 3
[[2,2,0,0],[2,0,0],[1,0],[1]] => 3
[[2,2,0,0],[2,0,0],[2,0],[0]] => 2
[[2,2,0,0],[2,0,0],[2,0],[1]] => 3
[[2,2,0,0],[2,0,0],[2,0],[2]] => 2
[[2,2,0,0],[2,1,0],[1,0],[0]] => 3
[[2,2,0,0],[2,1,0],[1,0],[1]] => 3
[[2,2,0,0],[2,1,0],[1,1],[1]] => 3
[[2,2,0,0],[2,1,0],[2,0],[0]] => 3
[[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[2,2,0,0],[2,1,0],[2,0],[2]] => 3
[[2,2,0,0],[2,1,0],[2,1],[1]] => 3
[[2,2,0,0],[2,1,0],[2,1],[2]] => 3
[[2,2,0,0],[2,2,0],[2,0],[0]] => 2
[[2,2,0,0],[2,2,0],[2,0],[1]] => 3
[[2,2,0,0],[2,2,0],[2,0],[2]] => 2
[[2,2,0,0],[2,2,0],[2,1],[1]] => 3
[[2,2,0,0],[2,2,0],[2,1],[2]] => 3
[[2,2,0,0],[2,2,0],[2,2],[2]] => 2
[[2,1,1,0],[1,1,0],[1,0],[0]] => 3
[[2,1,1,0],[1,1,0],[1,0],[1]] => 3
[[2,1,1,0],[1,1,0],[1,1],[1]] => 3
[[2,1,1,0],[1,1,1],[1,1],[1]] => 3
[[2,1,1,0],[2,1,0],[1,0],[0]] => 3
[[2,1,1,0],[2,1,0],[1,0],[1]] => 3
[[2,1,1,0],[2,1,0],[1,1],[1]] => 3
[[2,1,1,0],[2,1,0],[2,0],[0]] => 3
[[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,1,1,0],[2,1,0],[2,0],[2]] => 3
[[2,1,1,0],[2,1,0],[2,1],[1]] => 3
[[2,1,1,0],[2,1,0],[2,1],[2]] => 3
[[2,1,1,0],[2,1,1],[1,1],[1]] => 3
[[2,1,1,0],[2,1,1],[2,1],[1]] => 3
[[2,1,1,0],[2,1,1],[2,1],[2]] => 3
[[1,1,1,1],[1,1,1],[1,1],[1]] => 1
[[4,3,2,1],[4,3,2],[4,3],[4]] => 4
[[4,3,2,1],[4,3,2],[4,3],[3]] => 4
[[4,3,2,1],[4,3,2],[4,2],[4]] => 4
[[4,3,2,1],[4,3,2],[4,2],[3]] => 5
[[4,3,2,1],[4,3,2],[3,2],[3]] => 4
[[4,3,2,1],[4,3,2],[4,2],[2]] => 4
[[4,3,2,1],[4,3,2],[3,2],[2]] => 4
[[4,3,2,1],[4,3,1],[4,3],[4]] => 4
[[4,3,2,1],[4,3,1],[4,3],[3]] => 4
[[4,3,2,1],[4,3,1],[4,2],[4]] => 5
[[4,3,2,1],[4,3,1],[4,2],[3]] => 6
[[4,3,2,1],[4,3,1],[3,2],[3]] => 5
[[4,3,2,1],[4,3,1],[4,2],[2]] => 5
[[4,3,2,1],[4,3,1],[3,2],[2]] => 5
[[4,3,2,1],[4,2,1],[4,2],[4]] => 4
[[4,3,2,1],[4,2,1],[4,2],[3]] => 5
[[4,3,2,1],[4,2,1],[3,2],[3]] => 5
[[4,3,2,1],[3,2,1],[3,2],[3]] => 4
[[4,3,2,1],[4,2,1],[4,2],[2]] => 4
[[4,3,2,1],[4,2,1],[3,2],[2]] => 5
[[4,3,2,1],[3,2,1],[3,2],[2]] => 4
[[4,3,2,1],[4,3,1],[4,1],[4]] => 4
[[4,3,2,1],[4,3,1],[4,1],[3]] => 5
[[4,3,2,1],[4,3,1],[3,1],[3]] => 4
[[4,3,2,1],[4,3,1],[4,1],[2]] => 5
[[4,3,2,1],[4,3,1],[3,1],[2]] => 5
[[4,3,2,1],[4,2,1],[4,1],[4]] => 4
[[4,3,2,1],[4,2,1],[4,1],[3]] => 5
[[4,3,2,1],[4,2,1],[3,1],[3]] => 5
[[4,3,2,1],[3,2,1],[3,1],[3]] => 4
[[4,3,2,1],[4,2,1],[4,1],[2]] => 5
[[4,3,2,1],[4,2,1],[3,1],[2]] => 6
[[4,3,2,1],[3,2,1],[3,1],[2]] => 5
[[4,3,2,1],[4,2,1],[2,1],[2]] => 4
[[4,3,2,1],[3,2,1],[2,1],[2]] => 4
[[4,3,2,1],[4,3,1],[4,1],[1]] => 4
[[4,3,2,1],[4,3,1],[3,1],[1]] => 4
[[4,3,2,1],[4,2,1],[4,1],[1]] => 4
[[4,3,2,1],[4,2,1],[3,1],[1]] => 5
[[4,3,2,1],[3,2,1],[3,1],[1]] => 4
[[4,3,2,1],[4,2,1],[2,1],[1]] => 4
[[4,3,2,1],[3,2,1],[2,1],[1]] => 4
[[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 2
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 2
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 2
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 2
[[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 3
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 3
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 3
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 3
[[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 2
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 3
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 3
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 3
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 2
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 3
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 3
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 2
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 3
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 2
[[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 2
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 2
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 2
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 2
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => 2
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => 2
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 2
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => 2
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 2
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 2
[[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 3
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 3
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 3
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 3
[[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 3
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 4
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 4
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 4
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 3
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 4
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 4
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 3
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 4
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 3
[[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]] => 3
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]] => 4
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]] => 4
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]] => 3
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]] => 3
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]] => 4
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]] => 3
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]] => 3
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]] => 3
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => 2
[[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 3
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 3
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 3
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 3
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => 3
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => 3
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 3
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => 3
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 3
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 3
[[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 3
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 4
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 4
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 4
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 3
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 4
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 4
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 3
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 4
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 3
[[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]] => 3
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]] => 3
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]] => 3
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]] => 4
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]] => 4
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]] => 3
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]] => 3
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]] => 3
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]] => 4
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]] => 3
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]] => 3
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]] => 3
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => 2
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => 2
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 2
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => 2
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 2
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 2
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]] => 2
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]] => 2
[[1,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]] => 2
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[4]] => 3
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[3]] => 4
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[3]] => 4
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]] => 4
[[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => 3
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[2]] => 4
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[2]] => 5
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[2]] => 5
[[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]] => 4
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[2]] => 4
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[2]] => 5
[[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]] => 4
[[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[2]] => 4
[[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]] => 4
[[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 3
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[1]] => 4
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[1]] => 5
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[1]] => 5
[[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]] => 4
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[1]] => 5
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6
[[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]] => 5
[[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[1]] => 5
[[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]] => 5
[[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 4
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[1]] => 4
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[1]] => 5
[[5,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]] => 4
[[5,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[1]] => 5
[[5,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]] => 5
[[5,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 4
[[5,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[1]] => 4
[[5,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]] => 4
[[5,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 4
[[5,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 3
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[0]] => 3
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[0]] => 4
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[0]] => 4
[[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]] => 3
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[0]] => 4
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[0]] => 5
[[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]] => 4
[[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[0]] => 4
[[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]] => 4
[[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 3
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[0]] => 4
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[0]] => 5
[[5,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]] => 4
[[5,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[0]] => 5
[[5,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]] => 5
[[5,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 4
[[5,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[0]] => 4
[[5,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]] => 4
[[5,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 4
[[5,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 3
[[5,0,0,0,0],[4,0,0,0],[4,0,0],[0,0],[0]] => 3
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[0,0],[0]] => 4
[[5,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]] => 3
[[5,0,0,0,0],[4,0,0,0],[2,0,0],[0,0],[0]] => 4
[[5,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]] => 4
[[5,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 3
[[5,0,0,0,0],[4,0,0,0],[1,0,0],[0,0],[0]] => 4
[[5,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]] => 4
[[5,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 4
[[5,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 3
[[5,0,0,0,0],[4,0,0,0],[0,0,0],[0,0],[0]] => 3
[[5,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]] => 3
[[5,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 3
[[5,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 3
[[5,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[4]] => 3
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[3]] => 4
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[3]] => 4
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[3,0],[3]] => 4
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[3]] => 4
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]] => 4
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[3]] => 4
[[4,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => 4
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[2]] => 4
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[2]] => 5
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[3,0],[2]] => 5
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[2]] => 5
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[2]] => 5
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[3,0],[2]] => 5
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[2]] => 5
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,1],[2]] => 5
[[4,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]] => 5
[[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]] => 4
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[2,0],[2]] => 4
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[2]] => 5
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[2]] => 5
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[2]] => 5
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[2]] => 5
[[4,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]] => 5
[[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]] => 4
[[4,1,0,0,0],[4,0,0,0],[2,0,0],[2,0],[2]] => 4
[[4,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[2]] => 5
[[4,1,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]] => 5
[[4,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]] => 4
[[4,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 4
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[1]] => 4
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[1]] => 4
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[3,0],[1]] => 5
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[1]] => 5
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[1]] => 5
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[3,0],[1]] => 5
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[1]] => 5
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,1],[1]] => 5
[[4,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]] => 5
[[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]] => 4
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[2,0],[1]] => 5
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[1]] => 6
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[1,1],[1]] => 4
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 6
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 5
[[4,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]] => 6
[[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]] => 5
[[4,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]] => 4
[[4,1,0,0,0],[4,0,0,0],[2,0,0],[2,0],[1]] => 5
[[4,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[1]] => 6
[[4,1,0,0,0],[3,1,0,0],[1,1,0],[1,1],[1]] => 4
[[4,1,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]] => 6
[[4,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]] => 5
[[4,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]] => 4
[[4,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 5
[[4,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 3
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[1,0],[1]] => 4
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[1,0],[1]] => 4
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[1,0],[1]] => 5
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[1,0],[1]] => 5
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,0],[1]] => 5
[[4,1,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]] => 5
[[4,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]] => 4
[[4,1,0,0,0],[4,0,0,0],[2,0,0],[1,0],[1]] => 5
[[4,1,0,0,0],[3,1,0,0],[2,0,0],[1,0],[1]] => 6
[[4,1,0,0,0],[3,1,0,0],[1,1,0],[1,0],[1]] => 4
[[4,1,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]] => 6
[[4,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]] => 5
[[4,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]] => 4
[[4,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 5
[[4,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 3
[[4,1,0,0,0],[4,0,0,0],[1,0,0],[1,0],[1]] => 4
[[4,1,0,0,0],[3,1,0,0],[1,0,0],[1,0],[1]] => 4
[[4,1,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]] => 5
[[4,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]] => 4
[[4,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 5
[[4,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 3
[[4,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 3
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[0]] => 3
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[3,0],[0]] => 4
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[0]] => 4
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[3,0],[0]] => 4
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[0]] => 4
[[4,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]] => 4
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[2,0],[0]] => 4
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[0]] => 5
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[0]] => 5
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[0]] => 5
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[0]] => 5
[[4,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]] => 5
[[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]] => 4
[[4,1,0,0,0],[4,0,0,0],[2,0,0],[2,0],[0]] => 4
[[4,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[0]] => 5
[[4,1,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]] => 5
[[4,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]] => 4
[[4,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 4
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[1,0],[0]] => 4
[[4,1,0,0,0],[3,1,0,0],[3,1,0],[1,0],[0]] => 4
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[1,0],[0]] => 5
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[1,0],[0]] => 5
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,0],[0]] => 5
[[4,1,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]] => 5
[[4,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]] => 4
[[4,1,0,0,0],[4,0,0,0],[2,0,0],[1,0],[0]] => 5
[[4,1,0,0,0],[3,1,0,0],[2,0,0],[1,0],[0]] => 6
[[4,1,0,0,0],[3,1,0,0],[1,1,0],[1,0],[0]] => 4
[[4,1,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]] => 6
[[4,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]] => 5
[[4,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]] => 4
[[4,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 5
[[4,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => 3
[[4,1,0,0,0],[4,0,0,0],[1,0,0],[1,0],[0]] => 4
[[4,1,0,0,0],[3,1,0,0],[1,0,0],[1,0],[0]] => 4
[[4,1,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]] => 5
[[4,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]] => 4
[[4,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 5
[[4,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => 3
[[4,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 3
[[4,1,0,0,0],[4,0,0,0],[4,0,0],[0,0],[0]] => 3
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[4,0,0,0],[2,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[3,1,0,0],[2,0,0],[0,0],[0]] => 5
[[4,1,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]] => 5
[[4,1,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[4,0,0,0],[1,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[3,1,0,0],[1,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]] => 5
[[4,1,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 5
[[4,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => 3
[[4,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 3
[[4,1,0,0,0],[4,0,0,0],[0,0,0],[0,0],[0]] => 3
[[4,1,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 3
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,1],[3]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,0],[3]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[3,0],[3]] => 4
[[3,2,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => 3
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,1],[2]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,2],[2]] => 3
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,0],[2]] => 5
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,1],[2]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,1],[2]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[3,0],[2]] => 5
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,1],[2]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,1],[2]] => 4
[[3,2,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]] => 4
[[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,0],[2]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,0],[2]] => 3
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[2]] => 5
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[2]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[2]] => 4
[[3,2,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]] => 4
[[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]] => 4
[[3,2,0,0,0],[3,1,0,0],[2,0,0],[2,0],[2]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,0,0],[2,0],[2]] => 3
[[3,2,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]] => 4
[[3,2,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]] => 4
[[3,2,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 3
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,1],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,0],[1]] => 5
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,1],[1]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,1],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[3,0],[1]] => 5
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,1],[1]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,1],[1]] => 4
[[3,2,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]] => 4
[[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,0],[1]] => 6
[[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,0],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[1,1],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 6
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 5
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 4
[[3,2,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]] => 5
[[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]] => 5
[[3,2,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[2,0,0],[2,0],[1]] => 6
[[3,2,0,0,0],[2,2,0,0],[2,0,0],[2,0],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[1,1,0],[1,1],[1]] => 4
[[3,2,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]] => 5
[[3,2,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]] => 5
[[3,2,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]] => 4
[[3,2,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[1,0],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[1,0],[1]] => 5
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,0],[1]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,0],[1]] => 4
[[3,2,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]] => 4
[[3,2,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[2,0,0],[1,0],[1]] => 6
[[3,2,0,0,0],[2,2,0,0],[2,0,0],[1,0],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[1,1,0],[1,0],[1]] => 4
[[3,2,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]] => 5
[[3,2,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]] => 5
[[3,2,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]] => 4
[[3,2,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[1,0,0],[1,0],[1]] => 4
[[3,2,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]] => 4
[[3,2,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]] => 4
[[3,2,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,0],[0]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[3,0],[0]] => 4
[[3,2,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]] => 3
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,0],[0]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,0],[0]] => 3
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[0]] => 5
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[0]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[0]] => 4
[[3,2,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]] => 4
[[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]] => 4
[[3,2,0,0,0],[3,1,0,0],[2,0,0],[2,0],[0]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,0,0],[2,0],[0]] => 3
[[3,2,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]] => 4
[[3,2,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]] => 4
[[3,2,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 3
[[3,2,0,0,0],[3,1,0,0],[3,1,0],[1,0],[0]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[1,0],[0]] => 5
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,0],[0]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,0],[0]] => 4
[[3,2,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]] => 4
[[3,2,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]] => 4
[[3,2,0,0,0],[3,1,0,0],[2,0,0],[1,0],[0]] => 6
[[3,2,0,0,0],[2,2,0,0],[2,0,0],[1,0],[0]] => 4
[[3,2,0,0,0],[3,1,0,0],[1,1,0],[1,0],[0]] => 4
[[3,2,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]] => 5
[[3,2,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]] => 5
[[3,2,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]] => 4
[[3,2,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 4
[[3,2,0,0,0],[3,1,0,0],[1,0,0],[1,0],[0]] => 4
[[3,2,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]] => 4
[[3,2,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]] => 4
[[3,2,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 4
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[0,0],[0]] => 4
[[3,2,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]] => 3
[[3,2,0,0,0],[3,1,0,0],[2,0,0],[0,0],[0]] => 5
[[3,2,0,0,0],[2,2,0,0],[2,0,0],[0,0],[0]] => 3
[[3,2,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]] => 4
[[3,2,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]] => 4
[[3,2,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 3
[[3,2,0,0,0],[3,1,0,0],[1,0,0],[0,0],[0]] => 4
[[3,2,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]] => 4
[[3,2,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]] => 4
[[3,2,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 4
[[3,2,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]] => 3
[[3,2,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 3
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,1],[3]] => 3
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,0],[3]] => 3
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[3,0],[3]] => 3
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,1],[2]] => 4
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,0],[2]] => 4
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,1],[2]] => 4
[[3,1,1,0,0],[2,1,1,0],[2,1,1],[2,1],[2]] => 4
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[3,0],[2]] => 4
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,1],[2]] => 4
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,1],[2]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[2]] => 4
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,0],[2]] => 4
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[2]] => 4
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[2]] => 4
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[2]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[2]] => 4
[[3,1,1,0,0],[3,1,0,0],[2,0,0],[2,0],[2]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[2]] => 4
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,1],[1]] => 3
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,0],[1]] => 4
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,1],[1]] => 4
[[3,1,1,0,0],[2,1,1,0],[2,1,1],[2,1],[1]] => 4
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[3,0],[1]] => 4
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,1],[1]] => 4
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,1],[1]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[1]] => 4
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,0],[1]] => 5
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[1,1],[1]] => 3
[[3,1,1,0,0],[2,1,1,0],[2,1,1],[1,1],[1]] => 4
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 5
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 5
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 4
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 4
[[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[1]] => 5
[[3,1,1,0,0],[2,1,0,0],[2,1,0],[1,1],[1]] => 4
[[3,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]] => 3
[[3,1,1,0,0],[3,1,0,0],[2,0,0],[2,0],[1]] => 5
[[3,1,1,0,0],[3,1,0,0],[1,1,0],[1,1],[1]] => 3
[[3,1,1,0,0],[2,1,1,0],[1,1,0],[1,1],[1]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[1]] => 5
[[3,1,1,0,0],[2,1,0,0],[1,1,0],[1,1],[1]] => 4
[[3,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]] => 3
[[3,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 3
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[1,0],[1]] => 3
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[1,0],[1]] => 4
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,0],[1]] => 4
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,0],[1]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,1,0],[1,0],[1]] => 4
[[3,1,1,0,0],[3,1,0,0],[2,0,0],[1,0],[1]] => 5
[[3,1,1,0,0],[3,1,0,0],[1,1,0],[1,0],[1]] => 3
[[3,1,1,0,0],[2,1,1,0],[1,1,0],[1,0],[1]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,0,0],[1,0],[1]] => 5
[[3,1,1,0,0],[2,1,0,0],[1,1,0],[1,0],[1]] => 4
[[3,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]] => 3
[[3,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 3
[[3,1,1,0,0],[3,1,0,0],[1,0,0],[1,0],[1]] => 3
[[3,1,1,0,0],[2,1,0,0],[1,0,0],[1,0],[1]] => 4
[[3,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 3
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,0],[0]] => 3
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[3,0],[0]] => 3
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,0],[0]] => 4
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[0]] => 4
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[0]] => 4
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[0]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[0]] => 4
[[3,1,1,0,0],[3,1,0,0],[2,0,0],[2,0],[0]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[0]] => 4
[[3,1,1,0,0],[3,1,0,0],[3,1,0],[1,0],[0]] => 3
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[1,0],[0]] => 4
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,0],[0]] => 4
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,0],[0]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,1,0],[1,0],[0]] => 4
[[3,1,1,0,0],[3,1,0,0],[2,0,0],[1,0],[0]] => 5
[[3,1,1,0,0],[3,1,0,0],[1,1,0],[1,0],[0]] => 3
[[3,1,1,0,0],[2,1,1,0],[1,1,0],[1,0],[0]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,0,0],[1,0],[0]] => 5
[[3,1,1,0,0],[2,1,0,0],[1,1,0],[1,0],[0]] => 4
[[3,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[0]] => 3
[[3,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => 3
[[3,1,1,0,0],[3,1,0,0],[1,0,0],[1,0],[0]] => 3
[[3,1,1,0,0],[2,1,0,0],[1,0,0],[1,0],[0]] => 4
[[3,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => 3
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[0,0],[0]] => 3
[[3,1,1,0,0],[3,1,0,0],[2,0,0],[0,0],[0]] => 4
[[3,1,1,0,0],[2,1,0,0],[2,0,0],[0,0],[0]] => 4
[[3,1,1,0,0],[3,1,0,0],[1,0,0],[0,0],[0]] => 3
[[3,1,1,0,0],[2,1,0,0],[1,0,0],[0,0],[0]] => 4
[[3,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,2],[2]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,1],[2]] => 4
[[2,2,1,0,0],[2,1,1,0],[2,1,1],[2,1],[2]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,1],[2]] => 4
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,1],[2]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,1],[2]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,0],[2]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[2]] => 4
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[2]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,0],[2]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,0,0],[2,0],[2]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,0,0],[2,0],[2]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,1],[1]] => 4
[[2,2,1,0,0],[2,1,1,0],[2,1,1],[2,1],[1]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,1],[1]] => 4
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,1],[1]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,1],[1]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,0],[1]] => 4
[[2,2,1,0,0],[2,1,1,0],[2,1,1],[1,1],[1]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 5
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 4
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 3
[[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,0],[1]] => 4
[[2,2,1,0,0],[2,1,0,0],[2,1,0],[1,1],[1]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,0,0],[2,0],[1]] => 4
[[2,2,1,0,0],[2,1,1,0],[1,1,0],[1,1],[1]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,0,0],[2,0],[1]] => 4
[[2,2,1,0,0],[2,1,0,0],[1,1,0],[1,1],[1]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,0],[1]] => 4
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,0],[1]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,1,0],[1,0],[1]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,0,0],[1,0],[1]] => 4
[[2,2,1,0,0],[2,1,1,0],[1,1,0],[1,0],[1]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,0,0],[1,0],[1]] => 4
[[2,2,1,0,0],[2,1,0,0],[1,1,0],[1,0],[1]] => 3
[[2,2,1,0,0],[2,1,0,0],[1,0,0],[1,0],[1]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,0],[0]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[0]] => 4
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[0]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,0],[0]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,0,0],[2,0],[0]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,0,0],[2,0],[0]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,0],[0]] => 4
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,0],[0]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,1,0],[1,0],[0]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,0,0],[1,0],[0]] => 4
[[2,2,1,0,0],[2,1,1,0],[1,1,0],[1,0],[0]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,0,0],[1,0],[0]] => 4
[[2,2,1,0,0],[2,1,0,0],[1,1,0],[1,0],[0]] => 3
[[2,2,1,0,0],[2,1,0,0],[1,0,0],[1,0],[0]] => 3
[[2,2,1,0,0],[2,2,0,0],[2,0,0],[0,0],[0]] => 3
[[2,2,1,0,0],[2,1,0,0],[2,0,0],[0,0],[0]] => 3
[[2,2,1,0,0],[2,1,0,0],[1,0,0],[0,0],[0]] => 3
[[2,1,1,1,0],[2,1,1,0],[2,1,1],[2,1],[2]] => 3
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,1],[2]] => 3
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[2]] => 3
[[2,1,1,1,0],[2,1,1,0],[2,1,1],[2,1],[1]] => 3
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,1],[1]] => 3
[[2,1,1,1,0],[2,1,1,0],[2,1,1],[1,1],[1]] => 3
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 3
[[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 3
[[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,1,1,1,0],[1,1,1,0],[1,1,1],[1,1],[1]] => 3
[[2,1,1,1,0],[2,1,1,0],[1,1,0],[1,1],[1]] => 3
[[2,1,1,1,0],[1,1,1,0],[1,1,0],[1,1],[1]] => 3
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,0],[1]] => 3
[[2,1,1,1,0],[2,1,1,0],[1,1,0],[1,0],[1]] => 3
[[2,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[1]] => 3
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[0]] => 3
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,0],[0]] => 3
[[2,1,1,1,0],[2,1,1,0],[1,1,0],[1,0],[0]] => 3
[[2,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[0]] => 3
[[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 1
[[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 2
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 2
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 2
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 2
[[2,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[2,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 3
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 3
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 3
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 3
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 3
[[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 3
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 3
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 3
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 3
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 2
[[1,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 2
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 2
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 2
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 2
[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 2
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 2
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 2
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 2
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 6
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 7
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7
[[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 5
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 6
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 6
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 7
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 6
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 7
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 5
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 5
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 6
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 5
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 6
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 5
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 6
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6
[[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 4
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 5
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 5
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 6
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 4
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 4
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 5
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 5
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 6
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 5
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 5
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 6
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 5
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 6
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 5
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 6
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 6
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 7
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 4
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 4
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 5
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 4
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 4
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 5
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 4
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 5
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 3
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 3
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 4
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 5
[[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 3
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 3
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 3
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 3
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 4
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 5
[[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 3
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 3
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 1
[[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 7
[[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 7
[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 6
[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7
[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 5
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 5
[[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 5
[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 6
[[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 4
[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5
[[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 3
[[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 6
[[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 5
[[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 1
[[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 8
[[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 8
[[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 7
[[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 8
[[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 6
[[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 6
[[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 5
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 6
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 6
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 7
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 6
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 7
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 7
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 8
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 8
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 7
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 8
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 8
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 6
[[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 7
[[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 5
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 5
[[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6
[[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 6
[[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 8
[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 5
[[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 4
[[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 8
[[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 6
[[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 3
[[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 6
[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 5
[[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 1
[[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7
[[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6
[[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 8
[[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 8
[[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 8
[[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5
[[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 7
[[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 6
[[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 5
[[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 1
[[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 9
[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 9
[[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 8
[[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 7
[[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 7
[[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 7
[[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 8
[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 6
[[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 6
[[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 7
[[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 7
[[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 6
[[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 5
[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 5
[[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 5
[[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 4
[[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 5
[[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 7
[[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 4
[[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 3
[[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 6
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 7
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 7
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 8
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 8
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 7
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 8
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 8
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 8
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 7
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 8
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 8
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 8
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 8
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7
[[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9
[[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8
[[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6
[[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 8
[[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 7
[[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 7
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 7
[[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 6
[[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 5
[[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 4
[[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 1
[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 10
[[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 9
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 8
[[7,1,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 8
[[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 8
[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 9
[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 7
[[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 7
[[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 8
[[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 8
[[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 7
[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 6
[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 6
[[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 6
[[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 8
[[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 7
[[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 5
[[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 6
[[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 8
[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 5
[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 5
[[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 5
[[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 6
[[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 7
[[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 4
[[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 5
[[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 4
[[3,2,2,1,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,2,1,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 3
[[2,2,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,2,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,1,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 3
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 7
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 8
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 8
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 8
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 8
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 8
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 9
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 11
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 12
[[5,0,0,0,0],[5,0,0,0],[0,0,0],[0,0],[0]] => 2
[[5,0,0,0,0],[5,0,0,0],[1,0,0],[0,0],[0]] => 3
[[5,0,0,0,0],[5,0,0,0],[1,0,0],[1,0],[0]] => 3
[[5,0,0,0,0],[5,0,0,0],[1,0,0],[1,0],[1]] => 3
[[5,0,0,0,0],[5,0,0,0],[2,0,0],[0,0],[0]] => 3
[[5,0,0,0,0],[5,0,0,0],[2,0,0],[1,0],[0]] => 4
[[5,0,0,0,0],[5,0,0,0],[2,0,0],[1,0],[1]] => 4
[[5,0,0,0,0],[5,0,0,0],[2,0,0],[2,0],[0]] => 3
[[5,0,0,0,0],[5,0,0,0],[2,0,0],[2,0],[1]] => 4
[[5,0,0,0,0],[5,0,0,0],[2,0,0],[2,0],[2]] => 3
[[5,0,0,0,0],[5,0,0,0],[3,0,0],[0,0],[0]] => 3
[[5,0,0,0,0],[5,0,0,0],[3,0,0],[1,0],[0]] => 4
[[5,0,0,0,0],[5,0,0,0],[3,0,0],[1,0],[1]] => 4
[[5,0,0,0,0],[5,0,0,0],[3,0,0],[2,0],[0]] => 4
[[5,0,0,0,0],[5,0,0,0],[3,0,0],[2,0],[1]] => 5
[[5,0,0,0,0],[5,0,0,0],[3,0,0],[2,0],[2]] => 4
[[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[0]] => 3
[[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[1]] => 4
[[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[2]] => 4
[[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[3]] => 3
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[0,0],[0]] => 3
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[1,0],[0]] => 4
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[1,0],[1]] => 4
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[2,0],[0]] => 4
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[2,0],[1]] => 5
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[2,0],[2]] => 4
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[0]] => 4
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[1]] => 5
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[2]] => 5
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[3]] => 4
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[0]] => 3
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[1]] => 4
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[2]] => 4
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[3]] => 4
[[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[4]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[0,0],[0]] => 2
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[1,0],[0]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[1,0],[1]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[2,0],[0]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[2,0],[1]] => 4
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[2,0],[2]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[0]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[1]] => 4
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[2]] => 4
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[3]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[0]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[1]] => 4
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[2]] => 4
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[3]] => 4
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[4]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[0]] => 2
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[1]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[2]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[3]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[4]] => 3
[[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[5]] => 2
[[4,1,0,0,0],[4,1,0,0],[1,0,0],[0,0],[0]] => 3
[[4,1,0,0,0],[4,1,0,0],[1,0,0],[1,0],[0]] => 3
[[4,1,0,0,0],[4,1,0,0],[1,0,0],[1,0],[1]] => 3
[[4,1,0,0,0],[4,1,0,0],[1,1,0],[1,0],[0]] => 3
[[4,1,0,0,0],[4,1,0,0],[1,1,0],[1,0],[1]] => 3
[[4,1,0,0,0],[4,1,0,0],[1,1,0],[1,1],[1]] => 3
[[4,1,0,0,0],[4,1,0,0],[2,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[2,0,0],[1,0],[0]] => 5
[[4,1,0,0,0],[4,1,0,0],[2,0,0],[1,0],[1]] => 5
[[4,1,0,0,0],[4,1,0,0],[2,0,0],[2,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[2,0,0],[2,0],[1]] => 5
[[4,1,0,0,0],[4,1,0,0],[2,0,0],[2,0],[2]] => 4
[[4,1,0,0,0],[4,1,0,0],[2,1,0],[1,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[2,1,0],[1,0],[1]] => 4
[[4,1,0,0,0],[4,1,0,0],[2,1,0],[1,1],[1]] => 4
[[4,1,0,0,0],[4,1,0,0],[2,1,0],[2,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[2,1,0],[2,0],[1]] => 5
[[4,1,0,0,0],[4,1,0,0],[2,1,0],[2,0],[2]] => 4
[[4,1,0,0,0],[4,1,0,0],[2,1,0],[2,1],[1]] => 4
[[4,1,0,0,0],[4,1,0,0],[2,1,0],[2,1],[2]] => 4
[[4,1,0,0,0],[4,1,0,0],[3,0,0],[0,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[3,0,0],[1,0],[0]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,0,0],[1,0],[1]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,0,0],[2,0],[0]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,0,0],[2,0],[1]] => 6
[[4,1,0,0,0],[4,1,0,0],[3,0,0],[2,0],[2]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,0,0],[3,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[3,0,0],[3,0],[1]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,0,0],[3,0],[2]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,0,0],[3,0],[3]] => 4
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[1,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[1,0],[1]] => 4
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[1,1],[1]] => 4
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[2,0],[0]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[2,0],[1]] => 6
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[2,0],[2]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[2,1],[1]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[2,1],[2]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,0],[1]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,0],[2]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,0],[3]] => 4
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,1],[1]] => 4
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,1],[2]] => 5
[[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,1],[3]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[0,0],[0]] => 3
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[1,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[1,0],[1]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[2,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[2,0],[1]] => 5
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[2,0],[2]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[3,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[3,0],[1]] => 5
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[3,0],[2]] => 5
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[3,0],[3]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[4,0],[0]] => 3
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[4,0],[1]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[4,0],[2]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[4,0],[3]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,0,0],[4,0],[4]] => 3
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[1,0],[0]] => 3
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[1,0],[1]] => 3
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[1,1],[1]] => 3
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[2,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[2,0],[1]] => 5
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[2,0],[2]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[2,1],[1]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[2,1],[2]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,0],[0]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,0],[1]] => 5
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,0],[2]] => 5
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,0],[3]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,1],[1]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,1],[2]] => 5
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,1],[3]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,0],[0]] => 3
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,0],[1]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,0],[2]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,0],[3]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,0],[4]] => 3
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,1],[1]] => 3
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,1],[2]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,1],[3]] => 4
[[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,1],[4]] => 3
[[3,2,0,0,0],[3,2,0,0],[2,0,0],[0,0],[0]] => 3
[[3,2,0,0,0],[3,2,0,0],[2,0,0],[1,0],[0]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,0,0],[1,0],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,0,0],[2,0],[0]] => 3
[[3,2,0,0,0],[3,2,0,0],[2,0,0],[2,0],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,0,0],[2,0],[2]] => 3
[[3,2,0,0,0],[3,2,0,0],[2,1,0],[1,0],[0]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,1,0],[1,0],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,1,0],[1,1],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,1,0],[2,0],[0]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,1,0],[2,0],[1]] => 5
[[3,2,0,0,0],[3,2,0,0],[2,1,0],[2,0],[2]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,1,0],[2,1],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,1,0],[2,1],[2]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,2,0],[2,0],[0]] => 3
[[3,2,0,0,0],[3,2,0,0],[2,2,0],[2,0],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,2,0],[2,0],[2]] => 3
[[3,2,0,0,0],[3,2,0,0],[2,2,0],[2,1],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,2,0],[2,1],[2]] => 4
[[3,2,0,0,0],[3,2,0,0],[2,2,0],[2,2],[2]] => 3
[[3,2,0,0,0],[3,2,0,0],[3,0,0],[0,0],[0]] => 3
[[3,2,0,0,0],[3,2,0,0],[3,0,0],[1,0],[0]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,0,0],[1,0],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,0,0],[2,0],[0]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,0,0],[2,0],[1]] => 5
[[3,2,0,0,0],[3,2,0,0],[3,0,0],[2,0],[2]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,0,0],[3,0],[0]] => 3
[[3,2,0,0,0],[3,2,0,0],[3,0,0],[3,0],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,0,0],[3,0],[2]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,0,0],[3,0],[3]] => 3
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[1,0],[0]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[1,0],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[1,1],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[2,0],[0]] => 5
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[2,0],[1]] => 6
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[2,0],[2]] => 5
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[2,1],[1]] => 5
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[2,1],[2]] => 5
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,0],[0]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,0],[1]] => 5
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,0],[2]] => 5
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,0],[3]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,1],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,1],[2]] => 5
[[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,1],[3]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[2,0],[0]] => 3
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[2,0],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[2,0],[2]] => 3
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[2,1],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[2,1],[2]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[2,2],[2]] => 3
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,0],[0]] => 3
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,0],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,0],[2]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,0],[3]] => 3
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,1],[1]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,1],[2]] => 5
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,1],[3]] => 4
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,2],[2]] => 3
[[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,2],[3]] => 3
[[3,1,1,0,0],[3,1,1,0],[1,1,0],[1,0],[0]] => 3
[[3,1,1,0,0],[3,1,1,0],[1,1,0],[1,0],[1]] => 3
[[3,1,1,0,0],[3,1,1,0],[1,1,0],[1,1],[1]] => 3
[[3,1,1,0,0],[3,1,1,0],[1,1,1],[1,1],[1]] => 3
[[3,1,1,0,0],[3,1,1,0],[2,1,0],[1,0],[0]] => 4
[[3,1,1,0,0],[3,1,1,0],[2,1,0],[1,0],[1]] => 4
[[3,1,1,0,0],[3,1,1,0],[2,1,0],[1,1],[1]] => 4
[[3,1,1,0,0],[3,1,1,0],[2,1,0],[2,0],[0]] => 4
[[3,1,1,0,0],[3,1,1,0],[2,1,0],[2,0],[1]] => 5
[[3,1,1,0,0],[3,1,1,0],[2,1,0],[2,0],[2]] => 4
[[3,1,1,0,0],[3,1,1,0],[2,1,0],[2,1],[1]] => 4
[[3,1,1,0,0],[3,1,1,0],[2,1,0],[2,1],[2]] => 4
[[3,1,1,0,0],[3,1,1,0],[2,1,1],[1,1],[1]] => 4
[[3,1,1,0,0],[3,1,1,0],[2,1,1],[2,1],[1]] => 4
[[3,1,1,0,0],[3,1,1,0],[2,1,1],[2,1],[2]] => 4
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[1,0],[0]] => 3
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[1,0],[1]] => 3
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[1,1],[1]] => 3
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[2,0],[0]] => 4
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[2,0],[1]] => 5
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[2,0],[2]] => 4
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[2,1],[1]] => 4
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[2,1],[2]] => 4
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,0],[0]] => 3
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,0],[1]] => 4
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,0],[2]] => 4
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,0],[3]] => 3
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,1],[1]] => 3
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,1],[2]] => 4
[[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,1],[3]] => 3
[[3,1,1,0,0],[3,1,1,0],[3,1,1],[1,1],[1]] => 3
[[3,1,1,0,0],[3,1,1,0],[3,1,1],[2,1],[1]] => 4
[[3,1,1,0,0],[3,1,1,0],[3,1,1],[2,1],[2]] => 4
[[3,1,1,0,0],[3,1,1,0],[3,1,1],[3,1],[1]] => 3
[[3,1,1,0,0],[3,1,1,0],[3,1,1],[3,1],[2]] => 4
[[3,1,1,0,0],[3,1,1,0],[3,1,1],[3,1],[3]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,1,0],[1,0],[0]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,1,0],[1,0],[1]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,1,0],[1,1],[1]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,1,0],[2,0],[0]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,1,0],[2,0],[1]] => 4
[[2,2,1,0,0],[2,2,1,0],[2,1,0],[2,0],[2]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,1,0],[2,1],[1]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,1,0],[2,1],[2]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,1,1],[1,1],[1]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,1,1],[2,1],[1]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,1,1],[2,1],[2]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,2,0],[2,0],[0]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,2,0],[2,0],[1]] => 4
[[2,2,1,0,0],[2,2,1,0],[2,2,0],[2,0],[2]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,2,0],[2,1],[1]] => 4
[[2,2,1,0,0],[2,2,1,0],[2,2,0],[2,1],[2]] => 4
[[2,2,1,0,0],[2,2,1,0],[2,2,0],[2,2],[2]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,2,1],[2,1],[1]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,2,1],[2,1],[2]] => 3
[[2,2,1,0,0],[2,2,1,0],[2,2,1],[2,2],[2]] => 3
[[2,1,1,1,0],[2,1,1,1],[1,1,1],[1,1],[1]] => 3
[[2,1,1,1,0],[2,1,1,1],[2,1,1],[1,1],[1]] => 3
[[2,1,1,1,0],[2,1,1,1],[2,1,1],[2,1],[1]] => 3
[[2,1,1,1,0],[2,1,1,1],[2,1,1],[2,1],[2]] => 3
[[6,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[6,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 3
[[6,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 3
[[6,0,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 3
[[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 4
[[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 3
[[6,0,0,0,0,0],[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 5
[[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 5
[[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]] => 5
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]] => 5
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]] => 3
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]] => 4
[[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => 3
[[6,0,0,0,0,0],[4,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[4,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]] => 6
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]] => 6
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]] => 6
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]] => 6
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[1,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[2,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[1]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[2]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[0]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[2]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[1]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[2]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[1]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[2]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[0]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[1]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[2]] => 5
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[3]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[0]] => 3
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[1]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[2]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[3]] => 4
[[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[4]] => 3
[[6,0,0,0,0,0],[5,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[5,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[0,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[1,0,0],[0,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[2,0,0],[0,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[0]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[1]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[1]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[2]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[0,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[0]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[1]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[0]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[2]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[1]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[2]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[1]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[2]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[1]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[2]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[3]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[2]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[3]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[4]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[1,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[1,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[1,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[2,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[2,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[2,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[2,0,0],[2,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[2,0,0],[2,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[2,0,0],[2,0],[2]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[2,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[2,0],[1]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[2,0],[2]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[2]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[3]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[2,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[2,0],[1]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[2,0],[2]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[0]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[1]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[2]] => 6
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[3]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[2]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[3]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[4]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[2,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[2,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[2,0],[2]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[2]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[3]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[0]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[1]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[2]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[3]] => 5
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[4]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[0]] => 3
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[1]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[2]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[3]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[4]] => 4
[[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[5]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[6,0,0,0,0,0],[6,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[0,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[1,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[1]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[2,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[1]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[2]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[0,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[0]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[1]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[0]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[2]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[0]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[1]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[2]] => 5
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]] => 4
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[4,0,0],[0,0],[0]] => 3
[[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[0]] => 4
-----------------------------------------------------------------------------
Created: Mar 21, 2014 at 22:47 by Per Alexandersson
-----------------------------------------------------------------------------
Last Updated: Jun 01, 2019 at 08:43 by Martin Rubey