*****************************************************************************
*       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: St000077

-----------------------------------------------------------------------------
Collection: Gelfand-Tsetlin patterns

-----------------------------------------------------------------------------
Description: The number of boxed and circled entries.

An entry $a_{i,j}$ is boxed and circled if $a_{i-1,j-i} = a_{i,j} = a_{i-1,j}$.

-----------------------------------------------------------------------------
References: 

-----------------------------------------------------------------------------
Code:
def statistic(g):
    boxed = g.boxed_entries()
    return sum(1 for x in g.circled_entries() if x in boxed)

-----------------------------------------------------------------------------
Statistic values:

[[1]]                         => 0
[[2]]                         => 0
[[3]]                         => 0
[[1,0],[0]]                   => 0
[[1,0],[1]]                   => 0
[[2,0],[0]]                   => 0
[[2,0],[1]]                   => 0
[[2,0],[2]]                   => 0
[[1,1],[1]]                   => 1
[[3,0],[0]]                   => 0
[[3,0],[1]]                   => 0
[[3,0],[2]]                   => 0
[[3,0],[3]]                   => 0
[[2,1],[1]]                   => 0
[[2,1],[2]]                   => 0
[[3,1],[1]]                   => 0
[[3,1],[2]]                   => 0
[[3,1],[3]]                   => 0
[[2,2],[2]]                   => 1
[[3,2],[2]]                   => 0
[[3,2],[3]]                   => 0
[[3,3],[3]]                   => 1
[[1,0,0],[0,0],[0]]           => 2
[[1,0,0],[1,0],[0]]           => 1
[[1,0,0],[1,0],[1]]           => 1
[[2,0,0],[0,0],[0]]           => 2
[[2,0,0],[1,0],[0]]           => 1
[[2,0,0],[1,0],[1]]           => 1
[[2,0,0],[2,0],[0]]           => 1
[[2,0,0],[2,0],[1]]           => 1
[[2,0,0],[2,0],[2]]           => 1
[[1,1,0],[1,0],[0]]           => 1
[[1,1,0],[1,0],[1]]           => 1
[[1,1,0],[1,1],[1]]           => 2
[[3,0,0],[0,0],[0]]           => 2
[[3,0,0],[1,0],[0]]           => 1
[[3,0,0],[1,0],[1]]           => 1
[[3,0,0],[2,0],[0]]           => 1
[[3,0,0],[2,0],[1]]           => 1
[[3,0,0],[2,0],[2]]           => 1
[[3,0,0],[3,0],[0]]           => 1
[[3,0,0],[3,0],[1]]           => 1
[[3,0,0],[3,0],[2]]           => 1
[[3,0,0],[3,0],[3]]           => 1
[[2,1,0],[1,0],[0]]           => 0
[[2,1,0],[1,0],[1]]           => 0
[[2,1,0],[1,1],[1]]           => 1
[[2,1,0],[2,0],[0]]           => 0
[[2,1,0],[2,0],[1]]           => 0
[[2,1,0],[2,0],[2]]           => 0
[[2,1,0],[2,1],[1]]           => 0
[[2,1,0],[2,1],[2]]           => 0
[[1,1,1],[1,1],[1]]           => 3
[[3,1,0],[1,0],[0]]           => 0
[[3,1,0],[1,0],[1]]           => 0
[[3,1,0],[1,1],[1]]           => 1
[[3,1,0],[2,0],[0]]           => 0
[[3,1,0],[2,0],[1]]           => 0
[[3,1,0],[2,0],[2]]           => 0
[[3,1,0],[2,1],[1]]           => 0
[[3,1,0],[2,1],[2]]           => 0
[[3,1,0],[3,0],[0]]           => 0
[[3,1,0],[3,0],[1]]           => 0
[[3,1,0],[3,0],[2]]           => 0
[[3,1,0],[3,0],[3]]           => 0
[[3,1,0],[3,1],[1]]           => 0
[[3,1,0],[3,1],[2]]           => 0
[[3,1,0],[3,1],[3]]           => 0
[[2,2,0],[2,0],[0]]           => 1
[[2,2,0],[2,0],[1]]           => 1
[[2,2,0],[2,0],[2]]           => 1
[[2,2,0],[2,1],[1]]           => 1
[[2,2,0],[2,1],[2]]           => 1
[[2,2,0],[2,2],[2]]           => 2
[[2,1,1],[1,1],[1]]           => 2
[[2,1,1],[2,1],[1]]           => 1
[[2,1,1],[2,1],[2]]           => 1
[[3,2,0],[2,0],[0]]           => 0
[[3,2,0],[2,0],[1]]           => 0
[[3,2,0],[2,0],[2]]           => 0
[[3,2,0],[2,1],[1]]           => 0
[[3,2,0],[2,1],[2]]           => 0
[[3,2,0],[2,2],[2]]           => 1
[[3,2,0],[3,0],[0]]           => 0
[[3,2,0],[3,0],[1]]           => 0
[[3,2,0],[3,0],[2]]           => 0
[[3,2,0],[3,0],[3]]           => 0
[[3,2,0],[3,1],[1]]           => 0
[[3,2,0],[3,1],[2]]           => 0
[[3,2,0],[3,1],[3]]           => 0
[[3,2,0],[3,2],[2]]           => 0
[[3,2,0],[3,2],[3]]           => 0
[[3,1,1],[1,1],[1]]           => 2
[[3,1,1],[2,1],[1]]           => 1
[[3,1,1],[2,1],[2]]           => 1
[[3,1,1],[3,1],[1]]           => 1
[[3,1,1],[3,1],[2]]           => 1
[[3,1,1],[3,1],[3]]           => 1
[[2,2,1],[2,1],[1]]           => 1
[[2,2,1],[2,1],[2]]           => 1
[[2,2,1],[2,2],[2]]           => 2
[[3,3,0],[3,0],[0]]           => 1
[[3,3,0],[3,0],[1]]           => 1
[[3,3,0],[3,0],[2]]           => 1
[[3,3,0],[3,0],[3]]           => 1
[[3,3,0],[3,1],[1]]           => 1
[[3,3,0],[3,1],[2]]           => 1
[[3,3,0],[3,1],[3]]           => 1
[[3,3,0],[3,2],[2]]           => 1
[[3,3,0],[3,2],[3]]           => 1
[[3,3,0],[3,3],[3]]           => 2
[[3,2,1],[2,1],[1]]           => 0
[[3,2,1],[2,1],[2]]           => 0
[[3,2,1],[2,2],[2]]           => 1
[[3,2,1],[3,1],[1]]           => 0
[[3,2,1],[3,1],[2]]           => 0
[[3,2,1],[3,1],[3]]           => 0
[[3,2,1],[3,2],[2]]           => 0
[[3,2,1],[3,2],[3]]           => 0
[[2,2,2],[2,2],[2]]           => 3
[[3,3,1],[3,3],[3]]           => 2
[[3,3,1],[3,2],[3]]           => 1
[[3,3,1],[3,1],[3]]           => 1
[[3,3,1],[3,2],[2]]           => 1
[[3,3,1],[3,1],[2]]           => 1
[[3,3,1],[3,1],[1]]           => 1
[[3,2,2],[3,2],[3]]           => 1
[[3,2,2],[3,2],[2]]           => 1
[[3,2,2],[2,2],[2]]           => 2
[[1,0,0,0],[0,0,0],[0,0],[0]] => 5
[[1,0,0,0],[1,0,0],[0,0],[0]] => 4
[[1,0,0,0],[1,0,0],[1,0],[0]] => 3
[[1,0,0,0],[1,0,0],[1,0],[1]] => 3
[[2,0,0,0],[0,0,0],[0,0],[0]] => 5
[[2,0,0,0],[1,0,0],[0,0],[0]] => 4
[[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]] => 4
[[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]] => 3
[[2,0,0,0],[2,0,0],[2,0],[1]] => 3
[[2,0,0,0],[2,0,0],[2,0],[2]] => 3
[[1,1,0,0],[1,0,0],[0,0],[0]] => 4
[[1,1,0,0],[1,0,0],[1,0],[0]] => 3
[[1,1,0,0],[1,0,0],[1,0],[1]] => 3
[[1,1,0,0],[1,1,0],[1,0],[0]] => 3
[[1,1,0,0],[1,1,0],[1,0],[1]] => 3
[[1,1,0,0],[1,1,0],[1,1],[1]] => 4
[[3,0,0,0],[0,0,0],[0,0],[0]] => 5
[[3,0,0,0],[1,0,0],[0,0],[0]] => 4
[[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]] => 4
[[3,0,0,0],[2,0,0],[1,0],[0]] => 3
[[3,0,0,0],[2,0,0],[1,0],[1]] => 3
[[3,0,0,0],[2,0,0],[2,0],[0]] => 3
[[3,0,0,0],[2,0,0],[2,0],[1]] => 3
[[3,0,0,0],[2,0,0],[2,0],[2]] => 3
[[3,0,0,0],[3,0,0],[0,0],[0]] => 4
[[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]] => 3
[[3,0,0,0],[3,0,0],[2,0],[2]] => 3
[[3,0,0,0],[3,0,0],[3,0],[0]] => 3
[[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]] => 3
[[2,1,0,0],[1,0,0],[0,0],[0]] => 3
[[2,1,0,0],[1,0,0],[1,0],[0]] => 2
[[2,1,0,0],[1,0,0],[1,0],[1]] => 2
[[2,1,0,0],[1,1,0],[1,0],[0]] => 2
[[2,1,0,0],[1,1,0],[1,0],[1]] => 2
[[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]] => 2
[[2,1,0,0],[2,0,0],[1,0],[1]] => 2
[[2,1,0,0],[2,0,0],[2,0],[0]] => 2
[[2,1,0,0],[2,0,0],[2,0],[1]] => 2
[[2,1,0,0],[2,0,0],[2,0],[2]] => 2
[[2,1,0,0],[2,1,0],[1,0],[0]] => 1
[[2,1,0,0],[2,1,0],[1,0],[1]] => 1
[[2,1,0,0],[2,1,0],[1,1],[1]] => 2
[[2,1,0,0],[2,1,0],[2,0],[0]] => 1
[[2,1,0,0],[2,1,0],[2,0],[1]] => 1
[[2,1,0,0],[2,1,0],[2,0],[2]] => 1
[[2,1,0,0],[2,1,0],[2,1],[1]] => 1
[[2,1,0,0],[2,1,0],[2,1],[2]] => 1
[[1,1,1,0],[1,1,0],[1,0],[0]] => 3
[[1,1,1,0],[1,1,0],[1,0],[1]] => 3
[[1,1,1,0],[1,1,0],[1,1],[1]] => 4
[[1,1,1,0],[1,1,1],[1,1],[1]] => 5
[[3,1,0,0],[1,0,0],[0,0],[0]] => 3
[[3,1,0,0],[1,0,0],[1,0],[0]] => 2
[[3,1,0,0],[1,0,0],[1,0],[1]] => 2
[[3,1,0,0],[1,1,0],[1,0],[0]] => 2
[[3,1,0,0],[1,1,0],[1,0],[1]] => 2
[[3,1,0,0],[1,1,0],[1,1],[1]] => 3
[[3,1,0,0],[2,0,0],[0,0],[0]] => 3
[[3,1,0,0],[2,0,0],[1,0],[0]] => 2
[[3,1,0,0],[2,0,0],[1,0],[1]] => 2
[[3,1,0,0],[2,0,0],[2,0],[0]] => 2
[[3,1,0,0],[2,0,0],[2,0],[1]] => 2
[[3,1,0,0],[2,0,0],[2,0],[2]] => 2
[[3,1,0,0],[2,1,0],[1,0],[0]] => 1
[[3,1,0,0],[2,1,0],[1,0],[1]] => 1
[[3,1,0,0],[2,1,0],[1,1],[1]] => 2
[[3,1,0,0],[2,1,0],[2,0],[0]] => 1
[[3,1,0,0],[2,1,0],[2,0],[1]] => 1
[[3,1,0,0],[2,1,0],[2,0],[2]] => 1
[[3,1,0,0],[2,1,0],[2,1],[1]] => 1
[[3,1,0,0],[2,1,0],[2,1],[2]] => 1
[[3,1,0,0],[3,0,0],[0,0],[0]] => 3
[[3,1,0,0],[3,0,0],[1,0],[0]] => 2
[[3,1,0,0],[3,0,0],[1,0],[1]] => 2
[[3,1,0,0],[3,0,0],[2,0],[0]] => 2
[[3,1,0,0],[3,0,0],[2,0],[1]] => 2
[[3,1,0,0],[3,0,0],[2,0],[2]] => 2
[[3,1,0,0],[3,0,0],[3,0],[0]] => 2
[[3,1,0,0],[3,0,0],[3,0],[1]] => 2
[[3,1,0,0],[3,0,0],[3,0],[2]] => 2
[[3,1,0,0],[3,0,0],[3,0],[3]] => 2
[[3,1,0,0],[3,1,0],[1,0],[0]] => 1
[[3,1,0,0],[3,1,0],[1,0],[1]] => 1
[[3,1,0,0],[3,1,0],[1,1],[1]] => 2
[[3,1,0,0],[3,1,0],[2,0],[0]] => 1
[[3,1,0,0],[3,1,0],[2,0],[1]] => 1
[[3,1,0,0],[3,1,0],[2,0],[2]] => 1
[[3,1,0,0],[3,1,0],[2,1],[1]] => 1
[[3,1,0,0],[3,1,0],[2,1],[2]] => 1
[[3,1,0,0],[3,1,0],[3,0],[0]] => 1
[[3,1,0,0],[3,1,0],[3,0],[1]] => 1
[[3,1,0,0],[3,1,0],[3,0],[2]] => 1
[[3,1,0,0],[3,1,0],[3,0],[3]] => 1
[[3,1,0,0],[3,1,0],[3,1],[1]] => 1
[[3,1,0,0],[3,1,0],[3,1],[2]] => 1
[[3,1,0,0],[3,1,0],[3,1],[3]] => 1
[[2,2,0,0],[2,0,0],[0,0],[0]] => 4
[[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]] => 3
[[2,2,0,0],[2,0,0],[2,0],[1]] => 3
[[2,2,0,0],[2,0,0],[2,0],[2]] => 3
[[2,2,0,0],[2,1,0],[1,0],[0]] => 2
[[2,2,0,0],[2,1,0],[1,0],[1]] => 2
[[2,2,0,0],[2,1,0],[1,1],[1]] => 3
[[2,2,0,0],[2,1,0],[2,0],[0]] => 2
[[2,2,0,0],[2,1,0],[2,0],[1]] => 2
[[2,2,0,0],[2,1,0],[2,0],[2]] => 2
[[2,2,0,0],[2,1,0],[2,1],[1]] => 2
[[2,2,0,0],[2,1,0],[2,1],[2]] => 2
[[2,2,0,0],[2,2,0],[2,0],[0]] => 3
[[2,2,0,0],[2,2,0],[2,0],[1]] => 3
[[2,2,0,0],[2,2,0],[2,0],[2]] => 3
[[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]] => 4
[[2,1,1,0],[1,1,0],[1,0],[0]] => 2
[[2,1,1,0],[1,1,0],[1,0],[1]] => 2
[[2,1,1,0],[1,1,0],[1,1],[1]] => 3
[[2,1,1,0],[1,1,1],[1,1],[1]] => 4
[[2,1,1,0],[2,1,0],[1,0],[0]] => 1
[[2,1,1,0],[2,1,0],[1,0],[1]] => 1
[[2,1,1,0],[2,1,0],[1,1],[1]] => 2
[[2,1,1,0],[2,1,0],[2,0],[0]] => 1
[[2,1,1,0],[2,1,0],[2,0],[1]] => 1
[[2,1,1,0],[2,1,0],[2,0],[2]] => 1
[[2,1,1,0],[2,1,0],[2,1],[1]] => 1
[[2,1,1,0],[2,1,0],[2,1],[2]] => 1
[[2,1,1,0],[2,1,1],[1,1],[1]] => 3
[[2,1,1,0],[2,1,1],[2,1],[1]] => 2
[[2,1,1,0],[2,1,1],[2,1],[2]] => 2
[[1,1,1,1],[1,1,1],[1,1],[1]] => 6
[[3,2,0,0],[2,0,0],[0,0],[0]] => 3
[[3,2,0,0],[2,0,0],[1,0],[0]] => 2
[[3,2,0,0],[2,0,0],[1,0],[1]] => 2
[[3,2,0,0],[2,0,0],[2,0],[0]] => 2
[[3,2,0,0],[2,0,0],[2,0],[1]] => 2
[[3,2,0,0],[2,0,0],[2,0],[2]] => 2
[[3,2,0,0],[2,1,0],[1,0],[0]] => 1
[[3,2,0,0],[2,1,0],[1,0],[1]] => 1
[[3,2,0,0],[2,1,0],[1,1],[1]] => 2
[[3,2,0,0],[2,1,0],[2,0],[0]] => 1
[[3,2,0,0],[2,1,0],[2,0],[1]] => 1
[[3,2,0,0],[2,1,0],[2,0],[2]] => 1
[[3,2,0,0],[2,1,0],[2,1],[1]] => 1
[[3,2,0,0],[2,1,0],[2,1],[2]] => 1
[[3,2,0,0],[2,2,0],[2,0],[0]] => 2
[[3,2,0,0],[2,2,0],[2,0],[1]] => 2
[[3,2,0,0],[2,2,0],[2,0],[2]] => 2
[[3,2,0,0],[2,2,0],[2,1],[1]] => 2
[[3,2,0,0],[2,2,0],[2,1],[2]] => 2
[[3,2,0,0],[2,2,0],[2,2],[2]] => 3
[[3,2,0,0],[3,0,0],[0,0],[0]] => 3
[[3,2,0,0],[3,0,0],[1,0],[0]] => 2
[[3,2,0,0],[3,0,0],[1,0],[1]] => 2
[[3,2,0,0],[3,0,0],[2,0],[0]] => 2
[[3,2,0,0],[3,0,0],[2,0],[1]] => 2
[[3,2,0,0],[3,0,0],[2,0],[2]] => 2
[[3,2,0,0],[3,0,0],[3,0],[0]] => 2
[[3,2,0,0],[3,0,0],[3,0],[1]] => 2
[[3,2,0,0],[3,0,0],[3,0],[2]] => 2
[[3,2,0,0],[3,0,0],[3,0],[3]] => 2
[[3,2,0,0],[3,1,0],[1,0],[0]] => 1
[[3,2,0,0],[3,1,0],[1,0],[1]] => 1
[[3,2,0,0],[3,1,0],[1,1],[1]] => 2
[[3,2,0,0],[3,1,0],[2,0],[0]] => 1
[[3,2,0,0],[3,1,0],[2,0],[1]] => 1
[[3,2,0,0],[3,1,0],[2,0],[2]] => 1
[[3,2,0,0],[3,1,0],[2,1],[1]] => 1
[[3,2,0,0],[3,1,0],[2,1],[2]] => 1
[[3,2,0,0],[3,1,0],[3,0],[0]] => 1
[[3,2,0,0],[3,1,0],[3,0],[1]] => 1
[[3,2,0,0],[3,1,0],[3,0],[2]] => 1
[[3,2,0,0],[3,1,0],[3,0],[3]] => 1
[[3,2,0,0],[3,1,0],[3,1],[1]] => 1
[[3,2,0,0],[3,1,0],[3,1],[2]] => 1
[[3,2,0,0],[3,1,0],[3,1],[3]] => 1
[[3,2,0,0],[3,2,0],[2,0],[0]] => 1
[[3,2,0,0],[3,2,0],[2,0],[1]] => 1
[[3,2,0,0],[3,2,0],[2,0],[2]] => 1
[[3,2,0,0],[3,2,0],[2,1],[1]] => 1
[[3,2,0,0],[3,2,0],[2,1],[2]] => 1
[[3,2,0,0],[3,2,0],[2,2],[2]] => 2
[[3,2,0,0],[3,2,0],[3,0],[0]] => 1
[[3,2,0,0],[3,2,0],[3,0],[1]] => 1
[[3,2,0,0],[3,2,0],[3,0],[2]] => 1
[[3,2,0,0],[3,2,0],[3,0],[3]] => 1
[[3,2,0,0],[3,2,0],[3,1],[1]] => 1
[[3,2,0,0],[3,2,0],[3,1],[2]] => 1
[[3,2,0,0],[3,2,0],[3,1],[3]] => 1
[[3,2,0,0],[3,2,0],[3,2],[2]] => 1
[[3,2,0,0],[3,2,0],[3,2],[3]] => 1
[[3,1,1,0],[1,1,0],[1,0],[0]] => 2
[[3,1,1,0],[1,1,0],[1,0],[1]] => 2
[[3,1,1,0],[1,1,0],[1,1],[1]] => 3
[[3,1,1,0],[1,1,1],[1,1],[1]] => 4
[[3,1,1,0],[2,1,0],[1,0],[0]] => 1
[[3,1,1,0],[2,1,0],[1,0],[1]] => 1
[[3,1,1,0],[2,1,0],[1,1],[1]] => 2
[[3,1,1,0],[2,1,0],[2,0],[0]] => 1
[[3,1,1,0],[2,1,0],[2,0],[1]] => 1
[[3,1,1,0],[2,1,0],[2,0],[2]] => 1
[[3,1,1,0],[2,1,0],[2,1],[1]] => 1
[[3,1,1,0],[2,1,0],[2,1],[2]] => 1
[[3,1,1,0],[2,1,1],[1,1],[1]] => 3
[[3,1,1,0],[2,1,1],[2,1],[1]] => 2
[[3,1,1,0],[2,1,1],[2,1],[2]] => 2
[[3,1,1,0],[3,1,0],[1,0],[0]] => 1
[[3,1,1,0],[3,1,0],[1,0],[1]] => 1
[[3,1,1,0],[3,1,0],[1,1],[1]] => 2
[[3,1,1,0],[3,1,0],[2,0],[0]] => 1
[[3,1,1,0],[3,1,0],[2,0],[1]] => 1
[[3,1,1,0],[3,1,0],[2,0],[2]] => 1
[[3,1,1,0],[3,1,0],[2,1],[1]] => 1
[[3,1,1,0],[3,1,0],[2,1],[2]] => 1
[[3,1,1,0],[3,1,0],[3,0],[0]] => 1
[[3,1,1,0],[3,1,0],[3,0],[1]] => 1
[[3,1,1,0],[3,1,0],[3,0],[2]] => 1
[[3,1,1,0],[3,1,0],[3,0],[3]] => 1
[[3,1,1,0],[3,1,0],[3,1],[1]] => 1
[[3,1,1,0],[3,1,0],[3,1],[2]] => 1
[[3,1,1,0],[3,1,0],[3,1],[3]] => 1
[[3,1,1,0],[3,1,1],[1,1],[1]] => 3
[[3,1,1,0],[3,1,1],[2,1],[1]] => 2
[[3,1,1,0],[3,1,1],[2,1],[2]] => 2
[[3,1,1,0],[3,1,1],[3,1],[1]] => 2
[[3,1,1,0],[3,1,1],[3,1],[2]] => 2
[[3,1,1,0],[3,1,1],[3,1],[3]] => 2
[[2,2,1,0],[2,1,0],[1,0],[0]] => 1
[[2,2,1,0],[2,1,0],[1,0],[1]] => 1
[[2,2,1,0],[2,1,0],[1,1],[1]] => 2
[[2,2,1,0],[2,1,0],[2,0],[0]] => 1
[[2,2,1,0],[2,1,0],[2,0],[1]] => 1
[[2,2,1,0],[2,1,0],[2,0],[2]] => 1
[[2,2,1,0],[2,1,0],[2,1],[1]] => 1
[[2,2,1,0],[2,1,0],[2,1],[2]] => 1
[[2,2,1,0],[2,1,1],[1,1],[1]] => 3
[[2,2,1,0],[2,1,1],[2,1],[1]] => 2
[[2,2,1,0],[2,1,1],[2,1],[2]] => 2
[[2,2,1,0],[2,2,0],[2,0],[0]] => 2
[[2,2,1,0],[2,2,0],[2,0],[1]] => 2
[[2,2,1,0],[2,2,0],[2,0],[2]] => 2
[[2,2,1,0],[2,2,0],[2,1],[1]] => 2
[[2,2,1,0],[2,2,0],[2,1],[2]] => 2
[[2,2,1,0],[2,2,0],[2,2],[2]] => 3
[[2,2,1,0],[2,2,1],[2,1],[1]] => 2
[[2,2,1,0],[2,2,1],[2,1],[2]] => 2
[[2,2,1,0],[2,2,1],[2,2],[2]] => 3
[[2,1,1,1],[1,1,1],[1,1],[1]] => 5
[[2,1,1,1],[2,1,1],[1,1],[1]] => 4
[[2,1,1,1],[2,1,1],[2,1],[1]] => 3
[[2,1,1,1],[2,1,1],[2,1],[2]] => 3
[[3,3,0,0],[3,2,0],[3,2],[3]] => 2
[[3,3,0,0],[3,2,0],[3,1],[3]] => 2
[[3,3,0,0],[3,1,0],[3,1],[3]] => 2
[[3,3,0,0],[3,2,0],[3,0],[3]] => 2
[[3,3,0,0],[3,1,0],[3,0],[3]] => 2
[[3,3,0,0],[3,0,0],[3,0],[3]] => 3
[[3,3,0,0],[3,2,0],[3,2],[2]] => 2
[[3,3,0,0],[3,2,0],[3,1],[2]] => 2
[[3,3,0,0],[3,2,0],[2,2],[2]] => 3
[[3,3,0,0],[3,1,0],[3,1],[2]] => 2
[[3,3,0,0],[3,2,0],[3,0],[2]] => 2
[[3,3,0,0],[3,2,0],[2,1],[2]] => 2
[[3,3,0,0],[3,1,0],[3,0],[2]] => 2
[[3,3,0,0],[3,1,0],[2,1],[2]] => 2
[[3,3,0,0],[3,0,0],[3,0],[2]] => 3
[[3,3,0,0],[3,2,0],[2,0],[2]] => 2
[[3,3,0,0],[3,1,0],[2,0],[2]] => 2
[[3,3,0,0],[3,0,0],[2,0],[2]] => 3
[[3,3,0,0],[3,2,0],[3,1],[1]] => 2
[[3,3,0,0],[3,1,0],[3,1],[1]] => 2
[[3,3,0,0],[3,2,0],[3,0],[1]] => 2
[[3,3,0,0],[3,2,0],[2,1],[1]] => 2
[[3,3,0,0],[3,1,0],[3,0],[1]] => 2
[[3,3,0,0],[3,1,0],[2,1],[1]] => 2
[[3,3,0,0],[3,0,0],[3,0],[1]] => 3
[[3,3,0,0],[3,2,0],[2,0],[1]] => 2
[[3,3,0,0],[3,1,0],[2,0],[1]] => 2
[[3,3,0,0],[3,1,0],[1,1],[1]] => 3
[[3,3,0,0],[3,0,0],[2,0],[1]] => 3
[[3,3,0,0],[3,1,0],[1,0],[1]] => 2
[[3,3,0,0],[3,0,0],[1,0],[1]] => 3
[[3,3,0,0],[3,2,0],[3,0],[0]] => 2
[[3,3,0,0],[3,1,0],[3,0],[0]] => 2
[[3,3,0,0],[3,0,0],[3,0],[0]] => 3
[[3,3,0,0],[3,2,0],[2,0],[0]] => 2
[[3,3,0,0],[3,1,0],[2,0],[0]] => 2
[[3,3,0,0],[3,0,0],[2,0],[0]] => 3
[[3,3,0,0],[3,1,0],[1,0],[0]] => 2
[[3,3,0,0],[3,0,0],[1,0],[0]] => 3
[[3,3,0,0],[3,0,0],[0,0],[0]] => 4
[[3,2,1,0],[3,2,0],[3,2],[3]] => 0
[[3,2,1,0],[3,2,0],[3,1],[3]] => 0
[[3,2,1,0],[3,1,1],[3,1],[3]] => 1
[[3,2,1,0],[3,1,0],[3,1],[3]] => 0
[[3,2,1,0],[3,2,0],[3,0],[3]] => 0
[[3,2,1,0],[3,1,0],[3,0],[3]] => 0
[[3,2,1,0],[3,2,0],[3,2],[2]] => 0
[[3,2,1,0],[3,2,0],[3,1],[2]] => 0
[[3,2,1,0],[3,1,1],[3,1],[2]] => 1
[[3,2,1,0],[3,2,0],[2,2],[2]] => 1
[[3,2,1,0],[2,2,1],[2,2],[2]] => 2
[[3,2,1,0],[3,1,0],[3,1],[2]] => 0
[[3,2,1,0],[2,2,0],[2,2],[2]] => 2
[[3,2,1,0],[3,2,0],[3,0],[2]] => 0
[[3,2,1,0],[3,2,0],[2,1],[2]] => 0
[[3,2,1,0],[3,1,1],[2,1],[2]] => 1
[[3,2,1,0],[2,2,1],[2,1],[2]] => 1
[[3,2,1,0],[3,1,0],[3,0],[2]] => 0
[[3,2,1,0],[3,1,0],[2,1],[2]] => 0
[[3,2,1,0],[2,2,0],[2,1],[2]] => 1
[[3,2,1,0],[2,1,1],[2,1],[2]] => 1
[[3,2,1,0],[2,1,0],[2,1],[2]] => 0
[[3,2,1,0],[3,2,0],[2,0],[2]] => 0
[[3,2,1,0],[3,1,0],[2,0],[2]] => 0
[[3,2,1,0],[2,2,0],[2,0],[2]] => 1
[[3,2,1,0],[2,1,0],[2,0],[2]] => 0
[[3,2,1,0],[3,2,0],[3,1],[1]] => 0
[[3,2,1,0],[3,1,1],[3,1],[1]] => 1
[[3,2,1,0],[3,1,0],[3,1],[1]] => 0
[[3,2,1,0],[3,2,0],[3,0],[1]] => 0
[[3,2,1,0],[3,2,0],[2,1],[1]] => 0
[[3,2,1,0],[3,1,1],[2,1],[1]] => 1
[[3,2,1,0],[2,2,1],[2,1],[1]] => 1
[[3,2,1,0],[3,1,0],[3,0],[1]] => 0
[[3,2,1,0],[3,1,0],[2,1],[1]] => 0
[[3,2,1,0],[2,2,0],[2,1],[1]] => 1
[[3,2,1,0],[2,1,1],[2,1],[1]] => 1
[[3,2,1,0],[2,1,0],[2,1],[1]] => 0
[[3,2,1,0],[3,2,0],[2,0],[1]] => 0
[[3,2,1,0],[3,1,1],[1,1],[1]] => 2
[[3,2,1,0],[3,1,0],[2,0],[1]] => 0
[[3,2,1,0],[2,2,0],[2,0],[1]] => 1
[[3,2,1,0],[3,1,0],[1,1],[1]] => 1
[[3,2,1,0],[2,1,1],[1,1],[1]] => 2
[[3,2,1,0],[2,1,0],[2,0],[1]] => 0
[[3,2,1,0],[2,1,0],[1,1],[1]] => 1
[[3,2,1,0],[3,1,0],[1,0],[1]] => 0
[[3,2,1,0],[2,1,0],[1,0],[1]] => 0
[[3,2,1,0],[3,2,0],[3,0],[0]] => 0
[[3,2,1,0],[3,1,0],[3,0],[0]] => 0
[[3,2,1,0],[3,2,0],[2,0],[0]] => 0
[[3,2,1,0],[3,1,0],[2,0],[0]] => 0
[[3,2,1,0],[2,2,0],[2,0],[0]] => 1
[[3,2,1,0],[2,1,0],[2,0],[0]] => 0
[[3,2,1,0],[3,1,0],[1,0],[0]] => 0
[[3,2,1,0],[2,1,0],[1,0],[0]] => 0
[[3,1,1,1],[3,1,1],[3,1],[3]] => 3
[[3,1,1,1],[3,1,1],[3,1],[2]] => 3
[[3,1,1,1],[3,1,1],[2,1],[2]] => 3
[[3,1,1,1],[2,1,1],[2,1],[2]] => 3
[[3,1,1,1],[3,1,1],[3,1],[1]] => 3
[[3,1,1,1],[3,1,1],[2,1],[1]] => 3
[[3,1,1,1],[2,1,1],[2,1],[1]] => 3
[[3,1,1,1],[3,1,1],[1,1],[1]] => 4
[[3,1,1,1],[2,1,1],[1,1],[1]] => 4
[[3,1,1,1],[1,1,1],[1,1],[1]] => 5
[[2,2,2,0],[2,2,1],[2,2],[2]] => 4
[[2,2,2,0],[2,2,0],[2,2],[2]] => 4
[[2,2,2,0],[2,2,1],[2,1],[2]] => 3
[[2,2,2,0],[2,2,0],[2,1],[2]] => 3
[[2,2,2,0],[2,2,0],[2,0],[2]] => 3
[[2,2,2,0],[2,2,1],[2,1],[1]] => 3
[[2,2,2,0],[2,2,0],[2,1],[1]] => 3
[[2,2,2,0],[2,2,0],[2,0],[1]] => 3
[[2,2,2,0],[2,2,0],[2,0],[0]] => 3
[[2,2,1,1],[2,2,1],[2,2],[2]] => 4
[[2,2,1,1],[2,2,1],[2,1],[2]] => 3
[[2,2,1,1],[2,1,1],[2,1],[2]] => 3
[[2,2,1,1],[2,2,1],[2,1],[1]] => 3
[[2,2,1,1],[2,1,1],[2,1],[1]] => 3
[[2,2,1,1],[2,1,1],[1,1],[1]] => 4
[]                            => 0
[[0]]                         => 0
[[0,0],[0]]                   => 1
[[0,0,0],[0,0],[0]]           => 3
[[3,3,2],[3,2],[2]]           => 1
[[3,3,2],[3,2],[3]]           => 1
[[3,3,2],[3,3],[3]]           => 2
[[3,3,3],[3,3],[3]]           => 3
[[0,0,0,0],[0,0,0],[0,0],[0]] => 6
[[2,2,2,0],[2,2,2],[2,2],[2]] => 5
[[2,2,2,1],[2,2,1],[2,1],[1]] => 3
[[2,2,2,1],[2,2,1],[2,1],[2]] => 3
[[2,2,2,1],[2,2,1],[2,2],[2]] => 4
[[2,2,2,1],[2,2,2],[2,2],[2]] => 5
[[2,2,2,2],[2,2,2],[2,2],[2]] => 6
[[3,2,1,0],[3,2,1],[2,1],[1]] => 0
[[3,2,1,0],[3,2,1],[2,1],[2]] => 0
[[3,2,1,0],[3,2,1],[2,2],[2]] => 1
[[3,2,1,0],[3,2,1],[3,1],[1]] => 0
[[3,2,1,0],[3,2,1],[3,1],[2]] => 0
[[3,2,1,0],[3,2,1],[3,1],[3]] => 0
[[3,2,1,0],[3,2,1],[3,2],[2]] => 0
[[3,2,1,0],[3,2,1],[3,2],[3]] => 0
[[3,2,1,1],[2,1,1],[1,1],[1]] => 3
[[3,2,1,1],[2,1,1],[2,1],[1]] => 2
[[3,2,1,1],[2,1,1],[2,1],[2]] => 2
[[3,2,1,1],[2,2,1],[2,1],[1]] => 2
[[3,2,1,1],[2,2,1],[2,1],[2]] => 2
[[3,2,1,1],[2,2,1],[2,2],[2]] => 3
[[3,2,1,1],[3,1,1],[1,1],[1]] => 3
[[3,2,1,1],[3,1,1],[2,1],[1]] => 2
[[3,2,1,1],[3,1,1],[2,1],[2]] => 2
[[3,2,1,1],[3,1,1],[3,1],[1]] => 2
[[3,2,1,1],[3,1,1],[3,1],[2]] => 2
[[3,2,1,1],[3,1,1],[3,1],[3]] => 2
[[3,2,1,1],[3,2,1],[2,1],[1]] => 1
[[3,2,1,1],[3,2,1],[2,1],[2]] => 1
[[3,2,1,1],[3,2,1],[2,2],[2]] => 2
[[3,2,1,1],[3,2,1],[3,1],[1]] => 1
[[3,2,1,1],[3,2,1],[3,1],[2]] => 1
[[3,2,1,1],[3,2,1],[3,1],[3]] => 1
[[3,2,1,1],[3,2,1],[3,2],[2]] => 1
[[3,2,1,1],[3,2,1],[3,2],[3]] => 1
[[3,2,2,0],[2,2,0],[2,0],[0]] => 2
[[3,2,2,0],[2,2,0],[2,0],[1]] => 2
[[3,2,2,0],[2,2,0],[2,0],[2]] => 2
[[3,2,2,0],[2,2,0],[2,1],[1]] => 2
[[3,2,2,0],[2,2,0],[2,1],[2]] => 2
[[3,2,2,0],[2,2,0],[2,2],[2]] => 3
[[3,2,2,0],[2,2,1],[2,1],[1]] => 2
[[3,2,2,0],[2,2,1],[2,1],[2]] => 2
[[3,2,2,0],[2,2,1],[2,2],[2]] => 3
[[3,2,2,0],[2,2,2],[2,2],[2]] => 4
[[3,2,2,0],[3,2,0],[2,0],[0]] => 1
[[3,2,2,0],[3,2,0],[2,0],[1]] => 1
[[3,2,2,0],[3,2,0],[2,0],[2]] => 1
[[3,2,2,0],[3,2,0],[2,1],[1]] => 1
[[3,2,2,0],[3,2,0],[2,1],[2]] => 1
[[3,2,2,0],[3,2,0],[2,2],[2]] => 2
[[3,2,2,0],[3,2,0],[3,0],[0]] => 1
[[3,2,2,0],[3,2,0],[3,0],[1]] => 1
[[3,2,2,0],[3,2,0],[3,0],[2]] => 1
[[3,2,2,0],[3,2,0],[3,0],[3]] => 1
[[3,2,2,0],[3,2,0],[3,1],[1]] => 1
[[3,2,2,0],[3,2,0],[3,1],[2]] => 1
[[3,2,2,0],[3,2,0],[3,1],[3]] => 1
[[3,2,2,0],[3,2,0],[3,2],[2]] => 1
[[3,2,2,0],[3,2,0],[3,2],[3]] => 1
[[3,2,2,0],[3,2,1],[2,1],[1]] => 1
[[3,2,2,0],[3,2,1],[2,1],[2]] => 1
[[3,2,2,0],[3,2,1],[2,2],[2]] => 2
[[3,2,2,0],[3,2,1],[3,1],[1]] => 1
[[3,2,2,0],[3,2,1],[3,1],[2]] => 1
[[3,2,2,0],[3,2,1],[3,1],[3]] => 1
[[3,2,2,0],[3,2,1],[3,2],[2]] => 1
[[3,2,2,0],[3,2,1],[3,2],[3]] => 1
[[3,2,2,0],[3,2,2],[2,2],[2]] => 3
[[3,2,2,0],[3,2,2],[3,2],[2]] => 2
[[3,2,2,0],[3,2,2],[3,2],[3]] => 2
[[3,2,2,1],[2,2,1],[2,1],[1]] => 2
[[3,2,2,1],[2,2,1],[2,1],[2]] => 2
[[3,2,2,1],[2,2,1],[2,2],[2]] => 3
[[3,2,2,1],[2,2,2],[2,2],[2]] => 4
[[3,2,2,1],[3,2,1],[2,1],[1]] => 1
[[3,2,2,1],[3,2,1],[2,1],[2]] => 1
[[3,2,2,1],[3,2,1],[2,2],[2]] => 2
[[3,2,2,1],[3,2,1],[3,1],[1]] => 1
[[3,2,2,1],[3,2,1],[3,1],[2]] => 1
[[3,2,2,1],[3,2,1],[3,1],[3]] => 1
[[3,2,2,1],[3,2,1],[3,2],[2]] => 1
[[3,2,2,1],[3,2,1],[3,2],[3]] => 1
[[3,2,2,1],[3,2,2],[2,2],[2]] => 3
[[3,2,2,1],[3,2,2],[3,2],[2]] => 2
[[3,2,2,1],[3,2,2],[3,2],[3]] => 2
[[3,2,2,2],[2,2,2],[2,2],[2]] => 5
[[3,2,2,2],[3,2,2],[2,2],[2]] => 4
[[3,2,2,2],[3,2,2],[3,2],[2]] => 3
[[3,2,2,2],[3,2,2],[3,2],[3]] => 3
[[3,3,0,0],[3,3,0],[3,0],[0]] => 3
[[3,3,0,0],[3,3,0],[3,0],[1]] => 3
[[3,3,0,0],[3,3,0],[3,0],[2]] => 3
[[3,3,0,0],[3,3,0],[3,0],[3]] => 3
[[3,3,0,0],[3,3,0],[3,1],[1]] => 3
[[3,3,0,0],[3,3,0],[3,1],[2]] => 3
[[3,3,0,0],[3,3,0],[3,1],[3]] => 3
[[3,3,0,0],[3,3,0],[3,2],[2]] => 3
[[3,3,0,0],[3,3,0],[3,2],[3]] => 3
[[3,3,0,0],[3,3,0],[3,3],[3]] => 4
[[3,3,1,0],[3,1,0],[1,0],[0]] => 1
[[3,3,1,0],[3,1,0],[1,0],[1]] => 1
[[3,3,1,0],[3,1,0],[1,1],[1]] => 2
[[3,3,1,0],[3,1,0],[2,0],[0]] => 1
[[3,3,1,0],[3,1,0],[2,0],[1]] => 1
[[3,3,1,0],[3,1,0],[2,0],[2]] => 1
[[3,3,1,0],[3,1,0],[2,1],[1]] => 1
[[3,3,1,0],[3,1,0],[2,1],[2]] => 1
[[3,3,1,0],[3,1,0],[3,0],[0]] => 1
[[3,3,1,0],[3,1,0],[3,0],[1]] => 1
[[3,3,1,0],[3,1,0],[3,0],[2]] => 1
[[3,3,1,0],[3,1,0],[3,0],[3]] => 1
[[3,3,1,0],[3,1,0],[3,1],[1]] => 1
[[3,3,1,0],[3,1,0],[3,1],[2]] => 1
[[3,3,1,0],[3,1,0],[3,1],[3]] => 1
[[3,3,1,0],[3,1,1],[1,1],[1]] => 3
[[3,3,1,0],[3,1,1],[2,1],[1]] => 2
[[3,3,1,0],[3,1,1],[2,1],[2]] => 2
[[3,3,1,0],[3,1,1],[3,1],[1]] => 2
[[3,3,1,0],[3,1,1],[3,1],[2]] => 2
[[3,3,1,0],[3,1,1],[3,1],[3]] => 2
[[3,3,1,0],[3,2,0],[2,0],[0]] => 1
[[3,3,1,0],[3,2,0],[2,0],[1]] => 1
[[3,3,1,0],[3,2,0],[2,0],[2]] => 1
[[3,3,1,0],[3,2,0],[2,1],[1]] => 1
[[3,3,1,0],[3,2,0],[2,1],[2]] => 1
[[3,3,1,0],[3,2,0],[2,2],[2]] => 2
[[3,3,1,0],[3,2,0],[3,0],[0]] => 1
[[3,3,1,0],[3,2,0],[3,0],[1]] => 1
[[3,3,1,0],[3,2,0],[3,0],[2]] => 1
[[3,3,1,0],[3,2,0],[3,0],[3]] => 1
[[3,3,1,0],[3,2,0],[3,1],[1]] => 1
[[3,3,1,0],[3,2,0],[3,1],[2]] => 1
[[3,3,1,0],[3,2,0],[3,1],[3]] => 1
[[3,3,1,0],[3,2,0],[3,2],[2]] => 1
[[3,3,1,0],[3,2,0],[3,2],[3]] => 1
[[3,3,1,0],[3,2,1],[2,1],[1]] => 1
[[3,3,1,0],[3,2,1],[2,1],[2]] => 1
[[3,3,1,0],[3,2,1],[2,2],[2]] => 2
[[3,3,1,0],[3,2,1],[3,1],[1]] => 1
[[3,3,1,0],[3,2,1],[3,1],[2]] => 1
[[3,3,1,0],[3,2,1],[3,1],[3]] => 1
[[3,3,1,0],[3,2,1],[3,2],[2]] => 1
[[3,3,1,0],[3,2,1],[3,2],[3]] => 1
[[3,3,1,0],[3,3,0],[3,0],[0]] => 2
[[3,3,1,0],[3,3,0],[3,0],[1]] => 2
[[3,3,1,0],[3,3,0],[3,0],[2]] => 2
[[3,3,1,0],[3,3,0],[3,0],[3]] => 2
[[3,3,1,0],[3,3,0],[3,1],[1]] => 2
[[3,3,1,0],[3,3,0],[3,1],[2]] => 2
[[3,3,1,0],[3,3,0],[3,1],[3]] => 2
[[3,3,1,0],[3,3,0],[3,2],[2]] => 2
[[3,3,1,0],[3,3,0],[3,2],[3]] => 2
[[3,3,1,0],[3,3,0],[3,3],[3]] => 3
[[3,3,1,0],[3,3,1],[3,1],[1]] => 2
[[3,3,1,0],[3,3,1],[3,1],[2]] => 2
[[3,3,1,0],[3,3,1],[3,1],[3]] => 2
[[3,3,1,0],[3,3,1],[3,2],[2]] => 2
[[3,3,1,0],[3,3,1],[3,2],[3]] => 2
[[3,3,1,0],[3,3,1],[3,3],[3]] => 3
[[3,3,1,1],[3,1,1],[1,1],[1]] => 4
[[3,3,1,1],[3,1,1],[2,1],[1]] => 3
[[3,3,1,1],[3,1,1],[2,1],[2]] => 3
[[3,3,1,1],[3,1,1],[3,1],[1]] => 3
[[3,3,1,1],[3,1,1],[3,1],[2]] => 3
[[3,3,1,1],[3,1,1],[3,1],[3]] => 3
[[3,3,1,1],[3,2,1],[2,1],[1]] => 2
[[3,3,1,1],[3,2,1],[2,1],[2]] => 2
[[3,3,1,1],[3,2,1],[2,2],[2]] => 3
[[3,3,1,1],[3,2,1],[3,1],[1]] => 2
[[3,3,1,1],[3,2,1],[3,1],[2]] => 2
[[3,3,1,1],[3,2,1],[3,1],[3]] => 2
[[3,3,1,1],[3,2,1],[3,2],[2]] => 2
[[3,3,1,1],[3,2,1],[3,2],[3]] => 2
[[3,3,1,1],[3,3,1],[3,1],[1]] => 3
[[3,3,1,1],[3,3,1],[3,1],[2]] => 3
[[3,3,1,1],[3,3,1],[3,1],[3]] => 3
[[3,3,1,1],[3,3,1],[3,2],[2]] => 3
[[3,3,1,1],[3,3,1],[3,2],[3]] => 3
[[3,3,1,1],[3,3,1],[3,3],[3]] => 4
[[3,3,2,0],[3,2,0],[2,0],[0]] => 1
[[3,3,2,0],[3,2,0],[2,0],[1]] => 1
[[3,3,2,0],[3,2,0],[2,0],[2]] => 1
[[3,3,2,0],[3,2,0],[2,1],[1]] => 1
[[3,3,2,0],[3,2,0],[2,1],[2]] => 1
[[3,3,2,0],[3,2,0],[2,2],[2]] => 2
[[3,3,2,0],[3,2,0],[3,0],[0]] => 1
[[3,3,2,0],[3,2,0],[3,0],[1]] => 1
[[3,3,2,0],[3,2,0],[3,0],[2]] => 1
[[3,3,2,0],[3,2,0],[3,0],[3]] => 1
[[3,3,2,0],[3,2,0],[3,1],[1]] => 1
[[3,3,2,0],[3,2,0],[3,1],[2]] => 1
[[3,3,2,0],[3,2,0],[3,1],[3]] => 1
[[3,3,2,0],[3,2,0],[3,2],[2]] => 1
[[3,3,2,0],[3,2,0],[3,2],[3]] => 1
[[3,3,2,0],[3,2,1],[2,1],[1]] => 1
[[3,3,2,0],[3,2,1],[2,1],[2]] => 1
[[3,3,2,0],[3,2,1],[2,2],[2]] => 2
[[3,3,2,0],[3,2,1],[3,1],[1]] => 1
[[3,3,2,0],[3,2,1],[3,1],[2]] => 1
[[3,3,2,0],[3,2,1],[3,1],[3]] => 1
[[3,3,2,0],[3,2,1],[3,2],[2]] => 1
[[3,3,2,0],[3,2,1],[3,2],[3]] => 1
[[3,3,2,0],[3,2,2],[2,2],[2]] => 3
[[3,3,2,0],[3,2,2],[3,2],[2]] => 2
[[3,3,2,0],[3,2,2],[3,2],[3]] => 2
[[3,3,2,0],[3,3,0],[3,0],[0]] => 2
[[3,3,2,0],[3,3,0],[3,0],[1]] => 2
[[3,3,2,0],[3,3,0],[3,0],[2]] => 2
[[3,3,2,0],[3,3,0],[3,0],[3]] => 2
[[3,3,2,0],[3,3,0],[3,1],[1]] => 2
[[3,3,2,0],[3,3,0],[3,1],[2]] => 2
[[3,3,2,0],[3,3,0],[3,1],[3]] => 2
[[3,3,2,0],[3,3,0],[3,2],[2]] => 2
[[3,3,2,0],[3,3,0],[3,2],[3]] => 2
[[3,3,2,0],[3,3,0],[3,3],[3]] => 3
[[3,3,2,0],[3,3,1],[3,1],[1]] => 2
[[3,3,2,0],[3,3,1],[3,1],[2]] => 2
[[3,3,2,0],[3,3,1],[3,1],[3]] => 2
[[3,3,2,0],[3,3,1],[3,2],[2]] => 2
[[3,3,2,0],[3,3,1],[3,2],[3]] => 2
[[3,3,2,0],[3,3,1],[3,3],[3]] => 3
[[3,3,2,0],[3,3,2],[3,2],[2]] => 2
[[3,3,2,0],[3,3,2],[3,2],[3]] => 2
[[3,3,2,0],[3,3,2],[3,3],[3]] => 3
[[3,3,2,1],[3,2,1],[2,1],[1]] => 1
[[3,3,2,1],[3,2,1],[2,1],[2]] => 1
[[3,3,2,1],[3,2,1],[2,2],[2]] => 2
[[3,3,2,1],[3,2,1],[3,1],[1]] => 1
[[3,3,2,1],[3,2,1],[3,1],[2]] => 1
[[3,3,2,1],[3,2,1],[3,1],[3]] => 1
[[3,3,2,1],[3,2,1],[3,2],[2]] => 1
[[3,3,2,1],[3,2,1],[3,2],[3]] => 1
[[3,3,2,1],[3,2,2],[2,2],[2]] => 3
[[3,3,2,1],[3,2,2],[3,2],[2]] => 2
[[3,3,2,1],[3,2,2],[3,2],[3]] => 2
[[3,3,2,1],[3,3,1],[3,1],[1]] => 2
[[3,3,2,1],[3,3,1],[3,1],[2]] => 2
[[3,3,2,1],[3,3,1],[3,1],[3]] => 2
[[3,3,2,1],[3,3,1],[3,2],[2]] => 2
[[3,3,2,1],[3,3,1],[3,2],[3]] => 2
[[3,3,2,1],[3,3,1],[3,3],[3]] => 3
[[3,3,2,1],[3,3,2],[3,2],[2]] => 2
[[3,3,2,1],[3,3,2],[3,2],[3]] => 2
[[3,3,2,1],[3,3,2],[3,3],[3]] => 3
[[3,3,2,2],[3,2,2],[2,2],[2]] => 4
[[3,3,2,2],[3,2,2],[3,2],[2]] => 3
[[3,3,2,2],[3,2,2],[3,2],[3]] => 3
[[3,3,2,2],[3,3,2],[3,2],[2]] => 3
[[3,3,2,2],[3,3,2],[3,2],[3]] => 3
[[3,3,2,2],[3,3,2],[3,3],[3]] => 4
[[3,3,3,0],[3,3,0],[3,0],[0]] => 3
[[3,3,3,0],[3,3,0],[3,0],[1]] => 3
[[3,3,3,0],[3,3,0],[3,0],[2]] => 3
[[3,3,3,0],[3,3,0],[3,0],[3]] => 3
[[3,3,3,0],[3,3,0],[3,1],[1]] => 3
[[3,3,3,0],[3,3,0],[3,1],[2]] => 3
[[3,3,3,0],[3,3,0],[3,1],[3]] => 3
[[3,3,3,0],[3,3,0],[3,2],[2]] => 3
[[3,3,3,0],[3,3,0],[3,2],[3]] => 3
[[3,3,3,0],[3,3,0],[3,3],[3]] => 4
[[3,3,3,0],[3,3,1],[3,1],[1]] => 3
[[3,3,3,0],[3,3,1],[3,1],[2]] => 3
[[3,3,3,0],[3,3,1],[3,1],[3]] => 3
[[3,3,3,0],[3,3,1],[3,2],[2]] => 3
[[3,3,3,0],[3,3,1],[3,2],[3]] => 3
[[3,3,3,0],[3,3,1],[3,3],[3]] => 4
[[3,3,3,0],[3,3,2],[3,2],[2]] => 3
[[3,3,3,0],[3,3,2],[3,2],[3]] => 3
[[3,3,3,0],[3,3,2],[3,3],[3]] => 4
[[3,3,3,0],[3,3,3],[3,3],[3]] => 5
[[3,3,3,1],[3,3,1],[3,1],[1]] => 3
[[3,3,3,1],[3,3,1],[3,1],[2]] => 3
[[3,3,3,1],[3,3,1],[3,1],[3]] => 3
[[3,3,3,1],[3,3,1],[3,2],[2]] => 3
[[3,3,3,1],[3,3,1],[3,2],[3]] => 3
[[3,3,3,1],[3,3,1],[3,3],[3]] => 4
[[3,3,3,1],[3,3,2],[3,2],[2]] => 3
[[3,3,3,1],[3,3,2],[3,2],[3]] => 3
[[3,3,3,1],[3,3,2],[3,3],[3]] => 4
[[3,3,3,1],[3,3,3],[3,3],[3]] => 5
[[3,3,3,2],[3,3,2],[3,2],[2]] => 3
[[3,3,3,2],[3,3,2],[3,2],[3]] => 3
[[3,3,3,2],[3,3,2],[3,3],[3]] => 4
[[3,3,3,2],[3,3,3],[3,3],[3]] => 5
[[3,3,3,3],[3,3,3],[3,3],[3]] => 6

-----------------------------------------------------------------------------
Created: Jun 11, 2013 at 18:28 by Travis Scrimshaw

-----------------------------------------------------------------------------
Last Updated: Apr 01, 2015 at 21:33 by Martin Rubey