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------------------------------------------------------------------------
Map identifier: Mp00045
------------------------------------------------------------------------
Map name: reading tableau
------------------------------------------------------------------------
Domain: Integer partitions
------------------------------------------------------------------------
Codomain: Standard tableaux
------------------------------------------------------------------------
Description: Return the RSK recording tableau of the reading word of the (standard) tableau $T$ labeled down (in English convention) each column to the shape of a partition.
------------------------------------------------------------------------
References: [1] [[wikipedia:Robinson-Schensted-Knuth correspondence]]
------------------------------------------------------------------------
Code:
def mapping(elt):
st = StandardTableaux(elt).first()
return st.reading_word_permutation().right_tableau()
------------------------------------------------------------------------
Map images:
[1] => [[1]]
[2] => [[1,2]]
[1,1] => [[1],[2]]
[3] => [[1,2,3]]
[2,1] => [[1,3],[2]]
[1,1,1] => [[1],[2],[3]]
[4] => [[1,2,3,4]]
[3,1] => [[1,3,4],[2]]
[2,2] => [[1,2],[3,4]]
[2,1,1] => [[1,4],[2],[3]]
[1,1,1,1] => [[1],[2],[3],[4]]
[5] => [[1,2,3,4,5]]
[4,1] => [[1,3,4,5],[2]]
[3,2] => [[1,2,5],[3,4]]
[3,1,1] => [[1,4,5],[2],[3]]
[2,2,1] => [[1,3],[2,5],[4]]
[2,1,1,1] => [[1,5],[2],[3],[4]]
[1,1,1,1,1] => [[1],[2],[3],[4],[5]]
[6] => [[1,2,3,4,5,6]]
[5,1] => [[1,3,4,5,6],[2]]
[4,2] => [[1,2,5,6],[3,4]]
[4,1,1] => [[1,4,5,6],[2],[3]]
[3,3] => [[1,2,3],[4,5,6]]
[3,2,1] => [[1,3,6],[2,5],[4]]
[3,1,1,1] => [[1,5,6],[2],[3],[4]]
[2,2,2] => [[1,2],[3,4],[5,6]]
[2,2,1,1] => [[1,4],[2,6],[3],[5]]
[2,1,1,1,1] => [[1,6],[2],[3],[4],[5]]
[1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]]
[7] => [[1,2,3,4,5,6,7]]
[6,1] => [[1,3,4,5,6,7],[2]]
[5,2] => [[1,2,5,6,7],[3,4]]
[5,1,1] => [[1,4,5,6,7],[2],[3]]
[4,3] => [[1,2,3,7],[4,5,6]]
[4,2,1] => [[1,3,6,7],[2,5],[4]]
[4,1,1,1] => [[1,5,6,7],[2],[3],[4]]
[3,3,1] => [[1,3,4],[2,6,7],[5]]
[3,2,2] => [[1,2,7],[3,4],[5,6]]
[3,2,1,1] => [[1,4,7],[2,6],[3],[5]]
[3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]]
[2,2,2,1] => [[1,3],[2,5],[4,7],[6]]
[2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]]
[2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]]
[1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]]
[8] => [[1,2,3,4,5,6,7,8]]
[7,1] => [[1,3,4,5,6,7,8],[2]]
[6,2] => [[1,2,5,6,7,8],[3,4]]
[6,1,1] => [[1,4,5,6,7,8],[2],[3]]
[5,3] => [[1,2,3,7,8],[4,5,6]]
[5,2,1] => [[1,3,6,7,8],[2,5],[4]]
[5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]]
[4,4] => [[1,2,3,4],[5,6,7,8]]
[4,3,1] => [[1,3,4,8],[2,6,7],[5]]
[4,2,2] => [[1,2,7,8],[3,4],[5,6]]
[4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]]
[4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]]
[3,3,2] => [[1,2,5],[3,4,8],[6,7]]
[3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]]
[3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]]
[3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]]
[3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]]
[2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]]
[2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]]
[2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]]
[2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]]
[1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]]
[9] => [[1,2,3,4,5,6,7,8,9]]
[8,1] => [[1,3,4,5,6,7,8,9],[2]]
[7,2] => [[1,2,5,6,7,8,9],[3,4]]
[7,1,1] => [[1,4,5,6,7,8,9],[2],[3]]
[6,3] => [[1,2,3,7,8,9],[4,5,6]]
[6,2,1] => [[1,3,6,7,8,9],[2,5],[4]]
[6,1,1,1] => [[1,5,6,7,8,9],[2],[3],[4]]
[5,4] => [[1,2,3,4,9],[5,6,7,8]]
[5,3,1] => [[1,3,4,8,9],[2,6,7],[5]]
[5,2,2] => [[1,2,7,8,9],[3,4],[5,6]]
[5,2,1,1] => [[1,4,7,8,9],[2,6],[3],[5]]
[5,1,1,1,1] => [[1,6,7,8,9],[2],[3],[4],[5]]
[4,4,1] => [[1,3,4,5],[2,7,8,9],[6]]
[4,3,2] => [[1,2,5,9],[3,4,8],[6,7]]
[4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]]
[4,2,2,1] => [[1,3,8,9],[2,5],[4,7],[6]]
[4,2,1,1,1] => [[1,5,8,9],[2,7],[3],[4],[6]]
[4,1,1,1,1,1] => [[1,7,8,9],[2],[3],[4],[5],[6]]
[3,3,3] => [[1,2,3],[4,5,6],[7,8,9]]
[3,3,2,1] => [[1,3,6],[2,5,9],[4,8],[7]]
[3,3,1,1,1] => [[1,5,6],[2,8,9],[3],[4],[7]]
[3,2,2,2] => [[1,2,9],[3,4],[5,6],[7,8]]
[3,2,2,1,1] => [[1,4,9],[2,6],[3,8],[5],[7]]
[3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]]
[3,1,1,1,1,1,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]]
[2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]]
[2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4],[6],[8]]
[2,2,1,1,1,1,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]]
[2,1,1,1,1,1,1,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]]
[1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]]
[10] => [[1,2,3,4,5,6,7,8,9,10]]
[9,1] => [[1,3,4,5,6,7,8,9,10],[2]]
[8,2] => [[1,2,5,6,7,8,9,10],[3,4]]
[8,1,1] => [[1,4,5,6,7,8,9,10],[2],[3]]
[7,3] => [[1,2,3,7,8,9,10],[4,5,6]]
[7,2,1] => [[1,3,6,7,8,9,10],[2,5],[4]]
[7,1,1,1] => [[1,5,6,7,8,9,10],[2],[3],[4]]
[6,4] => [[1,2,3,4,9,10],[5,6,7,8]]
[6,3,1] => [[1,3,4,8,9,10],[2,6,7],[5]]
[6,2,2] => [[1,2,7,8,9,10],[3,4],[5,6]]
[6,2,1,1] => [[1,4,7,8,9,10],[2,6],[3],[5]]
[6,1,1,1,1] => [[1,6,7,8,9,10],[2],[3],[4],[5]]
[5,5] => [[1,2,3,4,5],[6,7,8,9,10]]
[5,4,1] => [[1,3,4,5,10],[2,7,8,9],[6]]
[5,3,2] => [[1,2,5,9,10],[3,4,8],[6,7]]
[5,3,1,1] => [[1,4,5,9,10],[2,7,8],[3],[6]]
[5,2,2,1] => [[1,3,8,9,10],[2,5],[4,7],[6]]
[5,2,1,1,1] => [[1,5,8,9,10],[2,7],[3],[4],[6]]
[5,1,1,1,1,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]]
[4,4,2] => [[1,2,5,6],[3,4,9,10],[7,8]]
[4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]]
[4,3,3] => [[1,2,3,10],[4,5,6],[7,8,9]]
[4,3,2,1] => [[1,3,6,10],[2,5,9],[4,8],[7]]
[4,3,1,1,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]]
[4,2,2,2] => [[1,2,9,10],[3,4],[5,6],[7,8]]
[4,2,2,1,1] => [[1,4,9,10],[2,6],[3,8],[5],[7]]
[4,2,1,1,1,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]]
[4,1,1,1,1,1,1] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]]
[3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8]]
[3,3,2,2] => [[1,2,7],[3,4,10],[5,6],[8,9]]
[3,3,2,1,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]]
[3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]]
[3,2,2,2,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]]
[3,2,2,1,1,1] => [[1,5,10],[2,7],[3,9],[4],[6],[8]]
[3,2,1,1,1,1,1] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]]
[3,1,1,1,1,1,1,1] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]]
[2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]]
[2,2,2,2,1,1] => [[1,4],[2,6],[3,8],[5,10],[7],[9]]
[2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]]
[2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]]
[2,1,1,1,1,1,1,1,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[11] => [[1,2,3,4,5,6,7,8,9,10,11]]
[10,1] => [[1,3,4,5,6,7,8,9,10,11],[2]]
[9,2] => [[1,2,5,6,7,8,9,10,11],[3,4]]
[9,1,1] => [[1,4,5,6,7,8,9,10,11],[2],[3]]
[8,3] => [[1,2,3,7,8,9,10,11],[4,5,6]]
[8,2,1] => [[1,3,6,7,8,9,10,11],[2,5],[4]]
[8,1,1,1] => [[1,5,6,7,8,9,10,11],[2],[3],[4]]
[7,4] => [[1,2,3,4,9,10,11],[5,6,7,8]]
[7,3,1] => [[1,3,4,8,9,10,11],[2,6,7],[5]]
[7,2,2] => [[1,2,7,8,9,10,11],[3,4],[5,6]]
[7,2,1,1] => [[1,4,7,8,9,10,11],[2,6],[3],[5]]
[7,1,1,1,1] => [[1,6,7,8,9,10,11],[2],[3],[4],[5]]
[6,5] => [[1,2,3,4,5,11],[6,7,8,9,10]]
[6,4,1] => [[1,3,4,5,10,11],[2,7,8,9],[6]]
[6,3,2] => [[1,2,5,9,10,11],[3,4,8],[6,7]]
[6,3,1,1] => [[1,4,5,9,10,11],[2,7,8],[3],[6]]
[6,2,2,1] => [[1,3,8,9,10,11],[2,5],[4,7],[6]]
[6,2,1,1,1] => [[1,5,8,9,10,11],[2,7],[3],[4],[6]]
[6,1,1,1,1,1] => [[1,7,8,9,10,11],[2],[3],[4],[5],[6]]
[5,5,1] => [[1,3,4,5,6],[2,8,9,10,11],[7]]
[5,4,2] => [[1,2,5,6,11],[3,4,9,10],[7,8]]
[5,4,1,1] => [[1,4,5,6,11],[2,8,9,10],[3],[7]]
[5,3,3] => [[1,2,3,10,11],[4,5,6],[7,8,9]]
[5,3,2,1] => [[1,3,6,10,11],[2,5,9],[4,8],[7]]
[5,3,1,1,1] => [[1,5,6,10,11],[2,8,9],[3],[4],[7]]
[5,2,2,2] => [[1,2,9,10,11],[3,4],[5,6],[7,8]]
[5,2,2,1,1] => [[1,4,9,10,11],[2,6],[3,8],[5],[7]]
[5,2,1,1,1,1] => [[1,6,9,10,11],[2,8],[3],[4],[5],[7]]
[5,1,1,1,1,1,1] => [[1,8,9,10,11],[2],[3],[4],[5],[6],[7]]
[4,4,3] => [[1,2,3,7],[4,5,6,11],[8,9,10]]
[4,4,2,1] => [[1,3,6,7],[2,5,10,11],[4,9],[8]]
[4,4,1,1,1] => [[1,5,6,7],[2,9,10,11],[3],[4],[8]]
[4,3,3,1] => [[1,3,4,11],[2,6,7],[5,9,10],[8]]
[4,3,2,2] => [[1,2,7,11],[3,4,10],[5,6],[8,9]]
[4,3,2,1,1] => [[1,4,7,11],[2,6,10],[3,9],[5],[8]]
[4,3,1,1,1,1] => [[1,6,7,11],[2,9,10],[3],[4],[5],[8]]
[4,2,2,2,1] => [[1,3,10,11],[2,5],[4,7],[6,9],[8]]
[4,2,2,1,1,1] => [[1,5,10,11],[2,7],[3,9],[4],[6],[8]]
[4,2,1,1,1,1,1] => [[1,7,10,11],[2,9],[3],[4],[5],[6],[8]]
[4,1,1,1,1,1,1,1] => [[1,9,10,11],[2],[3],[4],[5],[6],[7],[8]]
[3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10]]
[3,3,3,1,1] => [[1,4,5],[2,7,8],[3,10,11],[6],[9]]
[3,3,2,2,1] => [[1,3,8],[2,5,11],[4,7],[6,10],[9]]
[3,3,2,1,1,1] => [[1,5,8],[2,7,11],[3,10],[4],[6],[9]]
[3,3,1,1,1,1,1] => [[1,7,8],[2,10,11],[3],[4],[5],[6],[9]]
[3,2,2,2,2] => [[1,2,11],[3,4],[5,6],[7,8],[9,10]]
[3,2,2,2,1,1] => [[1,4,11],[2,6],[3,8],[5,10],[7],[9]]
[3,2,2,1,1,1,1] => [[1,6,11],[2,8],[3,10],[4],[5],[7],[9]]
[3,2,1,1,1,1,1,1] => [[1,8,11],[2,10],[3],[4],[5],[6],[7],[9]]
[3,1,1,1,1,1,1,1,1] => [[1,10,11],[2],[3],[4],[5],[6],[7],[8],[9]]
[2,2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10]]
[2,2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4,11],[6],[8],[10]]
[2,2,2,1,1,1,1,1] => [[1,7],[2,9],[3,11],[4],[5],[6],[8],[10]]
[2,2,1,1,1,1,1,1,1] => [[1,9],[2,11],[3],[4],[5],[6],[7],[8],[10]]
[2,1,1,1,1,1,1,1,1,1] => [[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[1,1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11]]
[12] => [[1,2,3,4,5,6,7,8,9,10,11,12]]
[11,1] => [[1,3,4,5,6,7,8,9,10,11,12],[2]]
[10,2] => [[1,2,5,6,7,8,9,10,11,12],[3,4]]
[10,1,1] => [[1,4,5,6,7,8,9,10,11,12],[2],[3]]
[9,3] => [[1,2,3,7,8,9,10,11,12],[4,5,6]]
[9,2,1] => [[1,3,6,7,8,9,10,11,12],[2,5],[4]]
[9,1,1,1] => [[1,5,6,7,8,9,10,11,12],[2],[3],[4]]
[8,4] => [[1,2,3,4,9,10,11,12],[5,6,7,8]]
[8,3,1] => [[1,3,4,8,9,10,11,12],[2,6,7],[5]]
[8,2,2] => [[1,2,7,8,9,10,11,12],[3,4],[5,6]]
[8,2,1,1] => [[1,4,7,8,9,10,11,12],[2,6],[3],[5]]
[8,1,1,1,1] => [[1,6,7,8,9,10,11,12],[2],[3],[4],[5]]
[7,5] => [[1,2,3,4,5,11,12],[6,7,8,9,10]]
[7,4,1] => [[1,3,4,5,10,11,12],[2,7,8,9],[6]]
[7,3,2] => [[1,2,5,9,10,11,12],[3,4,8],[6,7]]
[7,3,1,1] => [[1,4,5,9,10,11,12],[2,7,8],[3],[6]]
[7,2,2,1] => [[1,3,8,9,10,11,12],[2,5],[4,7],[6]]
[7,2,1,1,1] => [[1,5,8,9,10,11,12],[2,7],[3],[4],[6]]
[7,1,1,1,1,1] => [[1,7,8,9,10,11,12],[2],[3],[4],[5],[6]]
[6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]]
[6,5,1] => [[1,3,4,5,6,12],[2,8,9,10,11],[7]]
[6,4,2] => [[1,2,5,6,11,12],[3,4,9,10],[7,8]]
[6,4,1,1] => [[1,4,5,6,11,12],[2,8,9,10],[3],[7]]
[6,3,3] => [[1,2,3,10,11,12],[4,5,6],[7,8,9]]
[6,3,2,1] => [[1,3,6,10,11,12],[2,5,9],[4,8],[7]]
[6,3,1,1,1] => [[1,5,6,10,11,12],[2,8,9],[3],[4],[7]]
[6,2,2,2] => [[1,2,9,10,11,12],[3,4],[5,6],[7,8]]
[6,2,2,1,1] => [[1,4,9,10,11,12],[2,6],[3,8],[5],[7]]
[6,2,1,1,1,1] => [[1,6,9,10,11,12],[2,8],[3],[4],[5],[7]]
[6,1,1,1,1,1,1] => [[1,8,9,10,11,12],[2],[3],[4],[5],[6],[7]]
[5,5,2] => [[1,2,5,6,7],[3,4,10,11,12],[8,9]]
[5,5,1,1] => [[1,4,5,6,7],[2,9,10,11,12],[3],[8]]
[5,4,3] => [[1,2,3,7,12],[4,5,6,11],[8,9,10]]
[5,4,2,1] => [[1,3,6,7,12],[2,5,10,11],[4,9],[8]]
[5,4,1,1,1] => [[1,5,6,7,12],[2,9,10,11],[3],[4],[8]]
[5,3,3,1] => [[1,3,4,11,12],[2,6,7],[5,9,10],[8]]
[5,3,2,2] => [[1,2,7,11,12],[3,4,10],[5,6],[8,9]]
[5,3,2,1,1] => [[1,4,7,11,12],[2,6,10],[3,9],[5],[8]]
[5,3,1,1,1,1] => [[1,6,7,11,12],[2,9,10],[3],[4],[5],[8]]
[5,2,2,2,1] => [[1,3,10,11,12],[2,5],[4,7],[6,9],[8]]
[5,2,2,1,1,1] => [[1,5,10,11,12],[2,7],[3,9],[4],[6],[8]]
[5,2,1,1,1,1,1] => [[1,7,10,11,12],[2,9],[3],[4],[5],[6],[8]]
[5,1,1,1,1,1,1,1] => [[1,9,10,11,12],[2],[3],[4],[5],[6],[7],[8]]
[4,4,4] => [[1,2,3,4],[5,6,7,8],[9,10,11,12]]
[4,4,3,1] => [[1,3,4,8],[2,6,7,12],[5,10,11],[9]]
[4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]]
[4,4,2,1,1] => [[1,4,7,8],[2,6,11,12],[3,10],[5],[9]]
[4,4,1,1,1,1] => [[1,6,7,8],[2,10,11,12],[3],[4],[5],[9]]
[4,3,3,2] => [[1,2,5,12],[3,4,8],[6,7,11],[9,10]]
[4,3,3,1,1] => [[1,4,5,12],[2,7,8],[3,10,11],[6],[9]]
[4,3,2,2,1] => [[1,3,8,12],[2,5,11],[4,7],[6,10],[9]]
[4,3,2,1,1,1] => [[1,5,8,12],[2,7,11],[3,10],[4],[6],[9]]
[4,3,1,1,1,1,1] => [[1,7,8,12],[2,10,11],[3],[4],[5],[6],[9]]
[4,2,2,2,2] => [[1,2,11,12],[3,4],[5,6],[7,8],[9,10]]
[4,2,2,2,1,1] => [[1,4,11,12],[2,6],[3,8],[5,10],[7],[9]]
[4,2,2,1,1,1,1] => [[1,6,11,12],[2,8],[3,10],[4],[5],[7],[9]]
[4,2,1,1,1,1,1,1] => [[1,8,11,12],[2,10],[3],[4],[5],[6],[7],[9]]
[4,1,1,1,1,1,1,1,1] => [[1,10,11,12],[2],[3],[4],[5],[6],[7],[8],[9]]
[3,3,3,3] => [[1,2,3],[4,5,6],[7,8,9],[10,11,12]]
[3,3,3,2,1] => [[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]
[3,3,3,1,1,1] => [[1,5,6],[2,8,9],[3,11,12],[4],[7],[10]]
[3,3,2,2,2] => [[1,2,9],[3,4,12],[5,6],[7,8],[10,11]]
[3,3,2,2,1,1] => [[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]
[3,3,2,1,1,1,1] => [[1,6,9],[2,8,12],[3,11],[4],[5],[7],[10]]
[3,3,1,1,1,1,1,1] => [[1,8,9],[2,11,12],[3],[4],[5],[6],[7],[10]]
[3,2,2,2,2,1] => [[1,3,12],[2,5],[4,7],[6,9],[8,11],[10]]
[3,2,2,2,1,1,1] => [[1,5,12],[2,7],[3,9],[4,11],[6],[8],[10]]
[3,2,2,1,1,1,1,1] => [[1,7,12],[2,9],[3,11],[4],[5],[6],[8],[10]]
[3,2,1,1,1,1,1,1,1] => [[1,9,12],[2,11],[3],[4],[5],[6],[7],[8],[10]]
[3,1,1,1,1,1,1,1,1,1] => [[1,11,12],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]
[2,2,2,2,2,1,1] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9],[11]]
[2,2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4,12],[5],[7],[9],[11]]
[2,2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3,12],[4],[5],[6],[7],[9],[11]]
[2,2,1,1,1,1,1,1,1,1] => [[1,10],[2,12],[3],[4],[5],[6],[7],[8],[9],[11]]
[2,1,1,1,1,1,1,1,1,1,1] => [[1,12],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11]]
[1,1,1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]
[13] => [[1,2,3,4,5,6,7,8,9,10,11,12,13]]
[12,1] => [[1,3,4,5,6,7,8,9,10,11,12,13],[2]]
[11,2] => [[1,2,5,6,7,8,9,10,11,12,13],[3,4]]
[11,1,1] => [[1,4,5,6,7,8,9,10,11,12,13],[2],[3]]
[10,3] => [[1,2,3,7,8,9,10,11,12,13],[4,5,6]]
[10,2,1] => [[1,3,6,7,8,9,10,11,12,13],[2,5],[4]]
[10,1,1,1] => [[1,5,6,7,8,9,10,11,12,13],[2],[3],[4]]
[9,4] => [[1,2,3,4,9,10,11,12,13],[5,6,7,8]]
[9,3,1] => [[1,3,4,8,9,10,11,12,13],[2,6,7],[5]]
[9,2,2] => [[1,2,7,8,9,10,11,12,13],[3,4],[5,6]]
[9,2,1,1] => [[1,4,7,8,9,10,11,12,13],[2,6],[3],[5]]
[9,1,1,1,1] => [[1,6,7,8,9,10,11,12,13],[2],[3],[4],[5]]
[8,5] => [[1,2,3,4,5,11,12,13],[6,7,8,9,10]]
[8,4,1] => [[1,3,4,5,10,11,12,13],[2,7,8,9],[6]]
[8,3,2] => [[1,2,5,9,10,11,12,13],[3,4,8],[6,7]]
[8,3,1,1] => [[1,4,5,9,10,11,12,13],[2,7,8],[3],[6]]
[8,2,2,1] => [[1,3,8,9,10,11,12,13],[2,5],[4,7],[6]]
[8,2,1,1,1] => [[1,5,8,9,10,11,12,13],[2,7],[3],[4],[6]]
[8,1,1,1,1,1] => [[1,7,8,9,10,11,12,13],[2],[3],[4],[5],[6]]
[7,6] => [[1,2,3,4,5,6,13],[7,8,9,10,11,12]]
[7,5,1] => [[1,3,4,5,6,12,13],[2,8,9,10,11],[7]]
[7,4,2] => [[1,2,5,6,11,12,13],[3,4,9,10],[7,8]]
[7,4,1,1] => [[1,4,5,6,11,12,13],[2,8,9,10],[3],[7]]
[7,3,3] => [[1,2,3,10,11,12,13],[4,5,6],[7,8,9]]
[7,3,2,1] => [[1,3,6,10,11,12,13],[2,5,9],[4,8],[7]]
[7,3,1,1,1] => [[1,5,6,10,11,12,13],[2,8,9],[3],[4],[7]]
[7,2,2,2] => [[1,2,9,10,11,12,13],[3,4],[5,6],[7,8]]
[7,2,2,1,1] => [[1,4,9,10,11,12,13],[2,6],[3,8],[5],[7]]
[7,2,1,1,1,1] => [[1,6,9,10,11,12,13],[2,8],[3],[4],[5],[7]]
[7,1,1,1,1,1,1] => [[1,8,9,10,11,12,13],[2],[3],[4],[5],[6],[7]]
[6,6,1] => [[1,3,4,5,6,7],[2,9,10,11,12,13],[8]]
[6,5,2] => [[1,2,5,6,7,13],[3,4,10,11,12],[8,9]]
[6,5,1,1] => [[1,4,5,6,7,13],[2,9,10,11,12],[3],[8]]
[6,4,3] => [[1,2,3,7,12,13],[4,5,6,11],[8,9,10]]
[6,4,2,1] => [[1,3,6,7,12,13],[2,5,10,11],[4,9],[8]]
[6,4,1,1,1] => [[1,5,6,7,12,13],[2,9,10,11],[3],[4],[8]]
[6,3,3,1] => [[1,3,4,11,12,13],[2,6,7],[5,9,10],[8]]
[6,3,2,2] => [[1,2,7,11,12,13],[3,4,10],[5,6],[8,9]]
[6,3,2,1,1] => [[1,4,7,11,12,13],[2,6,10],[3,9],[5],[8]]
[6,3,1,1,1,1] => [[1,6,7,11,12,13],[2,9,10],[3],[4],[5],[8]]
[6,2,2,2,1] => [[1,3,10,11,12,13],[2,5],[4,7],[6,9],[8]]
[6,2,2,1,1,1] => [[1,5,10,11,12,13],[2,7],[3,9],[4],[6],[8]]
[6,2,1,1,1,1,1] => [[1,7,10,11,12,13],[2,9],[3],[4],[5],[6],[8]]
[6,1,1,1,1,1,1,1] => [[1,9,10,11,12,13],[2],[3],[4],[5],[6],[7],[8]]
[5,5,3] => [[1,2,3,7,8],[4,5,6,12,13],[9,10,11]]
[5,5,2,1] => [[1,3,6,7,8],[2,5,11,12,13],[4,10],[9]]
[5,5,1,1,1] => [[1,5,6,7,8],[2,10,11,12,13],[3],[4],[9]]
[5,4,4] => [[1,2,3,4,13],[5,6,7,8],[9,10,11,12]]
[5,4,3,1] => [[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]]
[5,4,2,2] => [[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]]
[5,4,2,1,1] => [[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]]
[5,4,1,1,1,1] => [[1,6,7,8,13],[2,10,11,12],[3],[4],[5],[9]]
[5,3,3,2] => [[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]]
[5,3,3,1,1] => [[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]]
[5,3,2,2,1] => [[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]]
[5,3,2,1,1,1] => [[1,5,8,12,13],[2,7,11],[3,10],[4],[6],[9]]
[5,3,1,1,1,1,1] => [[1,7,8,12,13],[2,10,11],[3],[4],[5],[6],[9]]
[5,2,2,2,2] => [[1,2,11,12,13],[3,4],[5,6],[7,8],[9,10]]
[5,2,2,2,1,1] => [[1,4,11,12,13],[2,6],[3,8],[5,10],[7],[9]]
[5,2,2,1,1,1,1] => [[1,6,11,12,13],[2,8],[3,10],[4],[5],[7],[9]]
[5,2,1,1,1,1,1,1] => [[1,8,11,12,13],[2,10],[3],[4],[5],[6],[7],[9]]
[5,1,1,1,1,1,1,1,1] => [[1,10,11,12,13],[2],[3],[4],[5],[6],[7],[8],[9]]
[4,4,4,1] => [[1,3,4,5],[2,7,8,9],[6,11,12,13],[10]]
[4,4,3,2] => [[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]
[4,4,3,1,1] => [[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]]
[4,4,2,2,1] => [[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]]
[4,4,2,1,1,1] => [[1,5,8,9],[2,7,12,13],[3,11],[4],[6],[10]]
[4,4,1,1,1,1,1] => [[1,7,8,9],[2,11,12,13],[3],[4],[5],[6],[10]]
[4,3,3,3] => [[1,2,3,13],[4,5,6],[7,8,9],[10,11,12]]
[4,3,3,2,1] => [[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]]
[4,3,3,1,1,1] => [[1,5,6,13],[2,8,9],[3,11,12],[4],[7],[10]]
[4,3,2,2,2] => [[1,2,9,13],[3,4,12],[5,6],[7,8],[10,11]]
[4,3,2,2,1,1] => [[1,4,9,13],[2,6,12],[3,8],[5,11],[7],[10]]
[4,3,2,1,1,1,1] => [[1,6,9,13],[2,8,12],[3,11],[4],[5],[7],[10]]
[4,3,1,1,1,1,1,1] => [[1,8,9,13],[2,11,12],[3],[4],[5],[6],[7],[10]]
[4,2,2,2,2,1] => [[1,3,12,13],[2,5],[4,7],[6,9],[8,11],[10]]
[4,2,2,2,1,1,1] => [[1,5,12,13],[2,7],[3,9],[4,11],[6],[8],[10]]
[4,2,2,1,1,1,1,1] => [[1,7,12,13],[2,9],[3,11],[4],[5],[6],[8],[10]]
[4,2,1,1,1,1,1,1,1] => [[1,9,12,13],[2,11],[3],[4],[5],[6],[7],[8],[10]]
[4,1,1,1,1,1,1,1,1,1] => [[1,11,12,13],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[3,3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8,12,13],[11]]
[3,3,3,2,2] => [[1,2,7],[3,4,10],[5,6,13],[8,9],[11,12]]
[3,3,3,2,1,1] => [[1,4,7],[2,6,10],[3,9,13],[5,12],[8],[11]]
[3,3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3,12,13],[4],[5],[8],[11]]
[3,3,2,2,2,1] => [[1,3,10],[2,5,13],[4,7],[6,9],[8,12],[11]]
[3,3,2,2,1,1,1] => [[1,5,10],[2,7,13],[3,9],[4,12],[6],[8],[11]]
[3,3,2,1,1,1,1,1] => [[1,7,10],[2,9,13],[3,12],[4],[5],[6],[8],[11]]
[3,3,1,1,1,1,1,1,1] => [[1,9,10],[2,12,13],[3],[4],[5],[6],[7],[8],[11]]
[3,2,2,2,2,2] => [[1,2,13],[3,4],[5,6],[7,8],[9,10],[11,12]]
[3,2,2,2,2,1,1] => [[1,4,13],[2,6],[3,8],[5,10],[7,12],[9],[11]]
[3,2,2,2,1,1,1,1] => [[1,6,13],[2,8],[3,10],[4,12],[5],[7],[9],[11]]
[3,2,2,1,1,1,1,1,1] => [[1,8,13],[2,10],[3,12],[4],[5],[6],[7],[9],[11]]
[3,2,1,1,1,1,1,1,1,1] => [[1,10,13],[2,12],[3],[4],[5],[6],[7],[8],[9],[11]]
[3,1,1,1,1,1,1,1,1,1,1] => [[1,12,13],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11]]
[2,2,2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12]]
[2,2,2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4,11],[6,13],[8],[10],[12]]
[2,2,2,2,1,1,1,1,1] => [[1,7],[2,9],[3,11],[4,13],[5],[6],[8],[10],[12]]
[2,2,2,1,1,1,1,1,1,1] => [[1,9],[2,11],[3,13],[4],[5],[6],[7],[8],[10],[12]]
[2,2,1,1,1,1,1,1,1,1,1] => [[1,11],[2,13],[3],[4],[5],[6],[7],[8],[9],[10],[12]]
[2,1,1,1,1,1,1,1,1,1,1,1] => [[1,13],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]
[1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13]]
[14] => [[1,2,3,4,5,6,7,8,9,10,11,12,13,14]]
[13,1] => [[1,3,4,5,6,7,8,9,10,11,12,13,14],[2]]
[12,2] => [[1,2,5,6,7,8,9,10,11,12,13,14],[3,4]]
[12,1,1] => [[1,4,5,6,7,8,9,10,11,12,13,14],[2],[3]]
[11,3] => [[1,2,3,7,8,9,10,11,12,13,14],[4,5,6]]
[11,2,1] => [[1,3,6,7,8,9,10,11,12,13,14],[2,5],[4]]
[11,1,1,1] => [[1,5,6,7,8,9,10,11,12,13,14],[2],[3],[4]]
[10,4] => [[1,2,3,4,9,10,11,12,13,14],[5,6,7,8]]
[10,3,1] => [[1,3,4,8,9,10,11,12,13,14],[2,6,7],[5]]
[10,2,2] => [[1,2,7,8,9,10,11,12,13,14],[3,4],[5,6]]
[10,2,1,1] => [[1,4,7,8,9,10,11,12,13,14],[2,6],[3],[5]]
[10,1,1,1,1] => [[1,6,7,8,9,10,11,12,13,14],[2],[3],[4],[5]]
[9,5] => [[1,2,3,4,5,11,12,13,14],[6,7,8,9,10]]
[9,4,1] => [[1,3,4,5,10,11,12,13,14],[2,7,8,9],[6]]
[9,3,2] => [[1,2,5,9,10,11,12,13,14],[3,4,8],[6,7]]
[9,3,1,1] => [[1,4,5,9,10,11,12,13,14],[2,7,8],[3],[6]]
[9,2,2,1] => [[1,3,8,9,10,11,12,13,14],[2,5],[4,7],[6]]
[9,2,1,1,1] => [[1,5,8,9,10,11,12,13,14],[2,7],[3],[4],[6]]
[9,1,1,1,1,1] => [[1,7,8,9,10,11,12,13,14],[2],[3],[4],[5],[6]]
[8,6] => [[1,2,3,4,5,6,13,14],[7,8,9,10,11,12]]
[8,5,1] => [[1,3,4,5,6,12,13,14],[2,8,9,10,11],[7]]
[8,4,2] => [[1,2,5,6,11,12,13,14],[3,4,9,10],[7,8]]
[8,4,1,1] => [[1,4,5,6,11,12,13,14],[2,8,9,10],[3],[7]]
[8,3,3] => [[1,2,3,10,11,12,13,14],[4,5,6],[7,8,9]]
[8,3,2,1] => [[1,3,6,10,11,12,13,14],[2,5,9],[4,8],[7]]
[8,3,1,1,1] => [[1,5,6,10,11,12,13,14],[2,8,9],[3],[4],[7]]
[8,2,2,2] => [[1,2,9,10,11,12,13,14],[3,4],[5,6],[7,8]]
[8,2,2,1,1] => [[1,4,9,10,11,12,13,14],[2,6],[3,8],[5],[7]]
[8,2,1,1,1,1] => [[1,6,9,10,11,12,13,14],[2,8],[3],[4],[5],[7]]
[8,1,1,1,1,1,1] => [[1,8,9,10,11,12,13,14],[2],[3],[4],[5],[6],[7]]
[7,7] => [[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]]
[7,6,1] => [[1,3,4,5,6,7,14],[2,9,10,11,12,13],[8]]
[7,5,2] => [[1,2,5,6,7,13,14],[3,4,10,11,12],[8,9]]
[7,5,1,1] => [[1,4,5,6,7,13,14],[2,9,10,11,12],[3],[8]]
[7,4,3] => [[1,2,3,7,12,13,14],[4,5,6,11],[8,9,10]]
[7,4,2,1] => [[1,3,6,7,12,13,14],[2,5,10,11],[4,9],[8]]
[7,4,1,1,1] => [[1,5,6,7,12,13,14],[2,9,10,11],[3],[4],[8]]
[7,3,3,1] => [[1,3,4,11,12,13,14],[2,6,7],[5,9,10],[8]]
[7,3,2,2] => [[1,2,7,11,12,13,14],[3,4,10],[5,6],[8,9]]
[7,3,2,1,1] => [[1,4,7,11,12,13,14],[2,6,10],[3,9],[5],[8]]
[7,3,1,1,1,1] => [[1,6,7,11,12,13,14],[2,9,10],[3],[4],[5],[8]]
[7,2,2,2,1] => [[1,3,10,11,12,13,14],[2,5],[4,7],[6,9],[8]]
[7,2,2,1,1,1] => [[1,5,10,11,12,13,14],[2,7],[3,9],[4],[6],[8]]
[7,2,1,1,1,1,1] => [[1,7,10,11,12,13,14],[2,9],[3],[4],[5],[6],[8]]
[7,1,1,1,1,1,1,1] => [[1,9,10,11,12,13,14],[2],[3],[4],[5],[6],[7],[8]]
[6,6,2] => [[1,2,5,6,7,8],[3,4,11,12,13,14],[9,10]]
[6,6,1,1] => [[1,4,5,6,7,8],[2,10,11,12,13,14],[3],[9]]
[6,5,3] => [[1,2,3,7,8,14],[4,5,6,12,13],[9,10,11]]
[6,5,2,1] => [[1,3,6,7,8,14],[2,5,11,12,13],[4,10],[9]]
[6,5,1,1,1] => [[1,5,6,7,8,14],[2,10,11,12,13],[3],[4],[9]]
[6,4,4] => [[1,2,3,4,13,14],[5,6,7,8],[9,10,11,12]]
[6,4,3,1] => [[1,3,4,8,13,14],[2,6,7,12],[5,10,11],[9]]
[6,4,2,2] => [[1,2,7,8,13,14],[3,4,11,12],[5,6],[9,10]]
[6,4,2,1,1] => [[1,4,7,8,13,14],[2,6,11,12],[3,10],[5],[9]]
[6,4,1,1,1,1] => [[1,6,7,8,13,14],[2,10,11,12],[3],[4],[5],[9]]
[6,3,3,2] => [[1,2,5,12,13,14],[3,4,8],[6,7,11],[9,10]]
[6,3,3,1,1] => [[1,4,5,12,13,14],[2,7,8],[3,10,11],[6],[9]]
[6,3,2,2,1] => [[1,3,8,12,13,14],[2,5,11],[4,7],[6,10],[9]]
[6,3,2,1,1,1] => [[1,5,8,12,13,14],[2,7,11],[3,10],[4],[6],[9]]
[6,3,1,1,1,1,1] => [[1,7,8,12,13,14],[2,10,11],[3],[4],[5],[6],[9]]
[6,2,2,2,2] => [[1,2,11,12,13,14],[3,4],[5,6],[7,8],[9,10]]
[6,2,2,2,1,1] => [[1,4,11,12,13,14],[2,6],[3,8],[5,10],[7],[9]]
[6,2,2,1,1,1,1] => [[1,6,11,12,13,14],[2,8],[3,10],[4],[5],[7],[9]]
[6,2,1,1,1,1,1,1] => [[1,8,11,12,13,14],[2,10],[3],[4],[5],[6],[7],[9]]
[6,1,1,1,1,1,1,1,1] => [[1,10,11,12,13,14],[2],[3],[4],[5],[6],[7],[8],[9]]
[5,5,4] => [[1,2,3,4,9],[5,6,7,8,14],[10,11,12,13]]
[5,5,3,1] => [[1,3,4,8,9],[2,6,7,13,14],[5,11,12],[10]]
[5,5,2,2] => [[1,2,7,8,9],[3,4,12,13,14],[5,6],[10,11]]
[5,5,2,1,1] => [[1,4,7,8,9],[2,6,12,13,14],[3,11],[5],[10]]
[5,5,1,1,1,1] => [[1,6,7,8,9],[2,11,12,13,14],[3],[4],[5],[10]]
[5,4,4,1] => [[1,3,4,5,14],[2,7,8,9],[6,11,12,13],[10]]
[5,4,3,2] => [[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]]
[5,4,3,1,1] => [[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]]
[5,4,2,2,1] => [[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]]
[5,4,2,1,1,1] => [[1,5,8,9,14],[2,7,12,13],[3,11],[4],[6],[10]]
[5,4,1,1,1,1,1] => [[1,7,8,9,14],[2,11,12,13],[3],[4],[5],[6],[10]]
[5,3,3,3] => [[1,2,3,13,14],[4,5,6],[7,8,9],[10,11,12]]
[5,3,3,2,1] => [[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]]
[5,3,3,1,1,1] => [[1,5,6,13,14],[2,8,9],[3,11,12],[4],[7],[10]]
[5,3,2,2,2] => [[1,2,9,13,14],[3,4,12],[5,6],[7,8],[10,11]]
[5,3,2,2,1,1] => [[1,4,9,13,14],[2,6,12],[3,8],[5,11],[7],[10]]
[5,3,2,1,1,1,1] => [[1,6,9,13,14],[2,8,12],[3,11],[4],[5],[7],[10]]
[5,3,1,1,1,1,1,1] => [[1,8,9,13,14],[2,11,12],[3],[4],[5],[6],[7],[10]]
[5,2,2,2,2,1] => [[1,3,12,13,14],[2,5],[4,7],[6,9],[8,11],[10]]
[5,2,2,2,1,1,1] => [[1,5,12,13,14],[2,7],[3,9],[4,11],[6],[8],[10]]
[5,2,2,1,1,1,1,1] => [[1,7,12,13,14],[2,9],[3,11],[4],[5],[6],[8],[10]]
[5,2,1,1,1,1,1,1,1] => [[1,9,12,13,14],[2,11],[3],[4],[5],[6],[7],[8],[10]]
[5,1,1,1,1,1,1,1,1,1] => [[1,11,12,13,14],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[4,4,4,2] => [[1,2,5,6],[3,4,9,10],[7,8,13,14],[11,12]]
[4,4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3,12,13,14],[7],[11]]
[4,4,3,3] => [[1,2,3,10],[4,5,6,14],[7,8,9],[11,12,13]]
[4,4,3,2,1] => [[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]]
[4,4,3,1,1,1] => [[1,5,6,10],[2,8,9,14],[3,12,13],[4],[7],[11]]
[4,4,2,2,2] => [[1,2,9,10],[3,4,13,14],[5,6],[7,8],[11,12]]
[4,4,2,2,1,1] => [[1,4,9,10],[2,6,13,14],[3,8],[5,12],[7],[11]]
[4,4,2,1,1,1,1] => [[1,6,9,10],[2,8,13,14],[3,12],[4],[5],[7],[11]]
[4,4,1,1,1,1,1,1] => [[1,8,9,10],[2,12,13,14],[3],[4],[5],[6],[7],[11]]
[4,3,3,3,1] => [[1,3,4,14],[2,6,7],[5,9,10],[8,12,13],[11]]
[4,3,3,2,2] => [[1,2,7,14],[3,4,10],[5,6,13],[8,9],[11,12]]
[4,3,3,2,1,1] => [[1,4,7,14],[2,6,10],[3,9,13],[5,12],[8],[11]]
[4,3,3,1,1,1,1] => [[1,6,7,14],[2,9,10],[3,12,13],[4],[5],[8],[11]]
[4,3,2,2,2,1] => [[1,3,10,14],[2,5,13],[4,7],[6,9],[8,12],[11]]
[4,3,2,2,1,1,1] => [[1,5,10,14],[2,7,13],[3,9],[4,12],[6],[8],[11]]
[4,3,2,1,1,1,1,1] => [[1,7,10,14],[2,9,13],[3,12],[4],[5],[6],[8],[11]]
[4,3,1,1,1,1,1,1,1] => [[1,9,10,14],[2,12,13],[3],[4],[5],[6],[7],[8],[11]]
[4,2,2,2,2,2] => [[1,2,13,14],[3,4],[5,6],[7,8],[9,10],[11,12]]
[4,2,2,2,2,1,1] => [[1,4,13,14],[2,6],[3,8],[5,10],[7,12],[9],[11]]
[4,2,2,2,1,1,1,1] => [[1,6,13,14],[2,8],[3,10],[4,12],[5],[7],[9],[11]]
[4,2,2,1,1,1,1,1,1] => [[1,8,13,14],[2,10],[3,12],[4],[5],[6],[7],[9],[11]]
[4,2,1,1,1,1,1,1,1,1] => [[1,10,13,14],[2,12],[3],[4],[5],[6],[7],[8],[9],[11]]
[4,1,1,1,1,1,1,1,1,1,1] => [[1,12,13,14],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11]]
[3,3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10,14],[12,13]]
[3,3,3,3,1,1] => [[1,4,5],[2,7,8],[3,10,11],[6,13,14],[9],[12]]
[3,3,3,2,2,1] => [[1,3,8],[2,5,11],[4,7,14],[6,10],[9,13],[12]]
[3,3,3,2,1,1,1] => [[1,5,8],[2,7,11],[3,10,14],[4,13],[6],[9],[12]]
[3,3,3,1,1,1,1,1] => [[1,7,8],[2,10,11],[3,13,14],[4],[5],[6],[9],[12]]
[3,3,2,2,2,2] => [[1,2,11],[3,4,14],[5,6],[7,8],[9,10],[12,13]]
[3,3,2,2,2,1,1] => [[1,4,11],[2,6,14],[3,8],[5,10],[7,13],[9],[12]]
[3,3,2,2,1,1,1,1] => [[1,6,11],[2,8,14],[3,10],[4,13],[5],[7],[9],[12]]
[3,3,2,1,1,1,1,1,1] => [[1,8,11],[2,10,14],[3,13],[4],[5],[6],[7],[9],[12]]
[3,3,1,1,1,1,1,1,1,1] => [[1,10,11],[2,13,14],[3],[4],[5],[6],[7],[8],[9],[12]]
[3,2,2,2,2,2,1] => [[1,3,14],[2,5],[4,7],[6,9],[8,11],[10,13],[12]]
[3,2,2,2,2,1,1,1] => [[1,5,14],[2,7],[3,9],[4,11],[6,13],[8],[10],[12]]
[3,2,2,2,1,1,1,1,1] => [[1,7,14],[2,9],[3,11],[4,13],[5],[6],[8],[10],[12]]
[3,2,2,1,1,1,1,1,1,1] => [[1,9,14],[2,11],[3,13],[4],[5],[6],[7],[8],[10],[12]]
[3,2,1,1,1,1,1,1,1,1,1] => [[1,11,14],[2,13],[3],[4],[5],[6],[7],[8],[9],[10],[12]]
[3,1,1,1,1,1,1,1,1,1,1,1] => [[1,13,14],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]
[2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]]
[2,2,2,2,2,2,1,1] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,14],[11],[13]]
[2,2,2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4,12],[5,14],[7],[9],[11],[13]]
[2,2,2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3,12],[4,14],[5],[6],[7],[9],[11],[13]]
[2,2,2,1,1,1,1,1,1,1,1] => [[1,10],[2,12],[3,14],[4],[5],[6],[7],[8],[9],[11],[13]]
[2,2,1,1,1,1,1,1,1,1,1,1] => [[1,12],[2,14],[3],[4],[5],[6],[7],[8],[9],[10],[11],[13]]
[2,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,14],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13]]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14]]
[15] => [[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]]
[14,1] => [[1,3,4,5,6,7,8,9,10,11,12,13,14,15],[2]]
[13,2] => [[1,2,5,6,7,8,9,10,11,12,13,14,15],[3,4]]
[13,1,1] => [[1,4,5,6,7,8,9,10,11,12,13,14,15],[2],[3]]
[12,3] => [[1,2,3,7,8,9,10,11,12,13,14,15],[4,5,6]]
[12,2,1] => [[1,3,6,7,8,9,10,11,12,13,14,15],[2,5],[4]]
[12,1,1,1] => [[1,5,6,7,8,9,10,11,12,13,14,15],[2],[3],[4]]
[11,4] => [[1,2,3,4,9,10,11,12,13,14,15],[5,6,7,8]]
[11,3,1] => [[1,3,4,8,9,10,11,12,13,14,15],[2,6,7],[5]]
[11,2,2] => [[1,2,7,8,9,10,11,12,13,14,15],[3,4],[5,6]]
[11,2,1,1] => [[1,4,7,8,9,10,11,12,13,14,15],[2,6],[3],[5]]
[11,1,1,1,1] => [[1,6,7,8,9,10,11,12,13,14,15],[2],[3],[4],[5]]
[10,5] => [[1,2,3,4,5,11,12,13,14,15],[6,7,8,9,10]]
[10,4,1] => [[1,3,4,5,10,11,12,13,14,15],[2,7,8,9],[6]]
[10,3,2] => [[1,2,5,9,10,11,12,13,14,15],[3,4,8],[6,7]]
[10,3,1,1] => [[1,4,5,9,10,11,12,13,14,15],[2,7,8],[3],[6]]
[10,2,2,1] => [[1,3,8,9,10,11,12,13,14,15],[2,5],[4,7],[6]]
[10,2,1,1,1] => [[1,5,8,9,10,11,12,13,14,15],[2,7],[3],[4],[6]]
[10,1,1,1,1,1] => [[1,7,8,9,10,11,12,13,14,15],[2],[3],[4],[5],[6]]
[9,6] => [[1,2,3,4,5,6,13,14,15],[7,8,9,10,11,12]]
[9,5,1] => [[1,3,4,5,6,12,13,14,15],[2,8,9,10,11],[7]]
[9,4,2] => [[1,2,5,6,11,12,13,14,15],[3,4,9,10],[7,8]]
[9,4,1,1] => [[1,4,5,6,11,12,13,14,15],[2,8,9,10],[3],[7]]
[9,3,3] => [[1,2,3,10,11,12,13,14,15],[4,5,6],[7,8,9]]
[9,3,2,1] => [[1,3,6,10,11,12,13,14,15],[2,5,9],[4,8],[7]]
[9,3,1,1,1] => [[1,5,6,10,11,12,13,14,15],[2,8,9],[3],[4],[7]]
[9,2,2,2] => [[1,2,9,10,11,12,13,14,15],[3,4],[5,6],[7,8]]
[9,2,2,1,1] => [[1,4,9,10,11,12,13,14,15],[2,6],[3,8],[5],[7]]
[9,2,1,1,1,1] => [[1,6,9,10,11,12,13,14,15],[2,8],[3],[4],[5],[7]]
[9,1,1,1,1,1,1] => [[1,8,9,10,11,12,13,14,15],[2],[3],[4],[5],[6],[7]]
[8,7] => [[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14]]
[8,6,1] => [[1,3,4,5,6,7,14,15],[2,9,10,11,12,13],[8]]
[8,5,2] => [[1,2,5,6,7,13,14,15],[3,4,10,11,12],[8,9]]
[8,5,1,1] => [[1,4,5,6,7,13,14,15],[2,9,10,11,12],[3],[8]]
[8,4,3] => [[1,2,3,7,12,13,14,15],[4,5,6,11],[8,9,10]]
[8,4,2,1] => [[1,3,6,7,12,13,14,15],[2,5,10,11],[4,9],[8]]
[8,4,1,1,1] => [[1,5,6,7,12,13,14,15],[2,9,10,11],[3],[4],[8]]
[8,3,3,1] => [[1,3,4,11,12,13,14,15],[2,6,7],[5,9,10],[8]]
[8,3,2,2] => [[1,2,7,11,12,13,14,15],[3,4,10],[5,6],[8,9]]
[8,3,2,1,1] => [[1,4,7,11,12,13,14,15],[2,6,10],[3,9],[5],[8]]
[8,3,1,1,1,1] => [[1,6,7,11,12,13,14,15],[2,9,10],[3],[4],[5],[8]]
[8,2,2,2,1] => [[1,3,10,11,12,13,14,15],[2,5],[4,7],[6,9],[8]]
[8,2,2,1,1,1] => [[1,5,10,11,12,13,14,15],[2,7],[3,9],[4],[6],[8]]
[8,2,1,1,1,1,1] => [[1,7,10,11,12,13,14,15],[2,9],[3],[4],[5],[6],[8]]
[8,1,1,1,1,1,1,1] => [[1,9,10,11,12,13,14,15],[2],[3],[4],[5],[6],[7],[8]]
[7,7,1] => [[1,3,4,5,6,7,8],[2,10,11,12,13,14,15],[9]]
[7,6,2] => [[1,2,5,6,7,8,15],[3,4,11,12,13,14],[9,10]]
[7,6,1,1] => [[1,4,5,6,7,8,15],[2,10,11,12,13,14],[3],[9]]
[7,5,3] => [[1,2,3,7,8,14,15],[4,5,6,12,13],[9,10,11]]
[7,5,2,1] => [[1,3,6,7,8,14,15],[2,5,11,12,13],[4,10],[9]]
[7,5,1,1,1] => [[1,5,6,7,8,14,15],[2,10,11,12,13],[3],[4],[9]]
[7,4,4] => [[1,2,3,4,13,14,15],[5,6,7,8],[9,10,11,12]]
[7,4,3,1] => [[1,3,4,8,13,14,15],[2,6,7,12],[5,10,11],[9]]
[7,4,2,2] => [[1,2,7,8,13,14,15],[3,4,11,12],[5,6],[9,10]]
[7,4,2,1,1] => [[1,4,7,8,13,14,15],[2,6,11,12],[3,10],[5],[9]]
[7,4,1,1,1,1] => [[1,6,7,8,13,14,15],[2,10,11,12],[3],[4],[5],[9]]
[7,3,3,2] => [[1,2,5,12,13,14,15],[3,4,8],[6,7,11],[9,10]]
[7,3,3,1,1] => [[1,4,5,12,13,14,15],[2,7,8],[3,10,11],[6],[9]]
[7,3,2,2,1] => [[1,3,8,12,13,14,15],[2,5,11],[4,7],[6,10],[9]]
[7,3,2,1,1,1] => [[1,5,8,12,13,14,15],[2,7,11],[3,10],[4],[6],[9]]
[7,3,1,1,1,1,1] => [[1,7,8,12,13,14,15],[2,10,11],[3],[4],[5],[6],[9]]
[7,2,2,2,2] => [[1,2,11,12,13,14,15],[3,4],[5,6],[7,8],[9,10]]
[7,2,2,2,1,1] => [[1,4,11,12,13,14,15],[2,6],[3,8],[5,10],[7],[9]]
[7,2,2,1,1,1,1] => [[1,6,11,12,13,14,15],[2,8],[3,10],[4],[5],[7],[9]]
[7,2,1,1,1,1,1,1] => [[1,8,11,12,13,14,15],[2,10],[3],[4],[5],[6],[7],[9]]
[7,1,1,1,1,1,1,1,1] => [[1,10,11,12,13,14,15],[2],[3],[4],[5],[6],[7],[8],[9]]
[6,6,3] => [[1,2,3,7,8,9],[4,5,6,13,14,15],[10,11,12]]
[6,6,2,1] => [[1,3,6,7,8,9],[2,5,12,13,14,15],[4,11],[10]]
[6,6,1,1,1] => [[1,5,6,7,8,9],[2,11,12,13,14,15],[3],[4],[10]]
[6,5,4] => [[1,2,3,4,9,15],[5,6,7,8,14],[10,11,12,13]]
[6,5,3,1] => [[1,3,4,8,9,15],[2,6,7,13,14],[5,11,12],[10]]
[6,5,2,2] => [[1,2,7,8,9,15],[3,4,12,13,14],[5,6],[10,11]]
[6,5,2,1,1] => [[1,4,7,8,9,15],[2,6,12,13,14],[3,11],[5],[10]]
[6,5,1,1,1,1] => [[1,6,7,8,9,15],[2,11,12,13,14],[3],[4],[5],[10]]
[6,4,4,1] => [[1,3,4,5,14,15],[2,7,8,9],[6,11,12,13],[10]]
[6,4,3,2] => [[1,2,5,9,14,15],[3,4,8,13],[6,7,12],[10,11]]
[6,4,3,1,1] => [[1,4,5,9,14,15],[2,7,8,13],[3,11,12],[6],[10]]
[6,4,2,2,1] => [[1,3,8,9,14,15],[2,5,12,13],[4,7],[6,11],[10]]
[6,4,2,1,1,1] => [[1,5,8,9,14,15],[2,7,12,13],[3,11],[4],[6],[10]]
[6,4,1,1,1,1,1] => [[1,7,8,9,14,15],[2,11,12,13],[3],[4],[5],[6],[10]]
[6,3,3,3] => [[1,2,3,13,14,15],[4,5,6],[7,8,9],[10,11,12]]
[6,3,3,2,1] => [[1,3,6,13,14,15],[2,5,9],[4,8,12],[7,11],[10]]
[6,3,3,1,1,1] => [[1,5,6,13,14,15],[2,8,9],[3,11,12],[4],[7],[10]]
[6,3,2,2,2] => [[1,2,9,13,14,15],[3,4,12],[5,6],[7,8],[10,11]]
[6,3,2,2,1,1] => [[1,4,9,13,14,15],[2,6,12],[3,8],[5,11],[7],[10]]
[6,3,2,1,1,1,1] => [[1,6,9,13,14,15],[2,8,12],[3,11],[4],[5],[7],[10]]
[6,3,1,1,1,1,1,1] => [[1,8,9,13,14,15],[2,11,12],[3],[4],[5],[6],[7],[10]]
[6,2,2,2,2,1] => [[1,3,12,13,14,15],[2,5],[4,7],[6,9],[8,11],[10]]
[6,2,2,2,1,1,1] => [[1,5,12,13,14,15],[2,7],[3,9],[4,11],[6],[8],[10]]
[6,2,2,1,1,1,1,1] => [[1,7,12,13,14,15],[2,9],[3,11],[4],[5],[6],[8],[10]]
[6,2,1,1,1,1,1,1,1] => [[1,9,12,13,14,15],[2,11],[3],[4],[5],[6],[7],[8],[10]]
[6,1,1,1,1,1,1,1,1,1] => [[1,11,12,13,14,15],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[5,5,5] => [[1,2,3,4,5],[6,7,8,9,10],[11,12,13,14,15]]
[5,5,4,1] => [[1,3,4,5,10],[2,7,8,9,15],[6,12,13,14],[11]]
[5,5,3,2] => [[1,2,5,9,10],[3,4,8,14,15],[6,7,13],[11,12]]
[5,5,3,1,1] => [[1,4,5,9,10],[2,7,8,14,15],[3,12,13],[6],[11]]
[5,5,2,2,1] => [[1,3,8,9,10],[2,5,13,14,15],[4,7],[6,12],[11]]
[5,5,2,1,1,1] => [[1,5,8,9,10],[2,7,13,14,15],[3,12],[4],[6],[11]]
[5,5,1,1,1,1,1] => [[1,7,8,9,10],[2,12,13,14,15],[3],[4],[5],[6],[11]]
[5,4,4,2] => [[1,2,5,6,15],[3,4,9,10],[7,8,13,14],[11,12]]
[5,4,4,1,1] => [[1,4,5,6,15],[2,8,9,10],[3,12,13,14],[7],[11]]
[5,4,3,3] => [[1,2,3,10,15],[4,5,6,14],[7,8,9],[11,12,13]]
[5,4,3,2,1] => [[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]]
[5,4,3,1,1,1] => [[1,5,6,10,15],[2,8,9,14],[3,12,13],[4],[7],[11]]
[5,4,2,2,2] => [[1,2,9,10,15],[3,4,13,14],[5,6],[7,8],[11,12]]
[5,4,2,2,1,1] => [[1,4,9,10,15],[2,6,13,14],[3,8],[5,12],[7],[11]]
[5,4,2,1,1,1,1] => [[1,6,9,10,15],[2,8,13,14],[3,12],[4],[5],[7],[11]]
[5,4,1,1,1,1,1,1] => [[1,8,9,10,15],[2,12,13,14],[3],[4],[5],[6],[7],[11]]
[5,3,3,3,1] => [[1,3,4,14,15],[2,6,7],[5,9,10],[8,12,13],[11]]
[5,3,3,2,2] => [[1,2,7,14,15],[3,4,10],[5,6,13],[8,9],[11,12]]
[5,3,3,2,1,1] => [[1,4,7,14,15],[2,6,10],[3,9,13],[5,12],[8],[11]]
[5,3,3,1,1,1,1] => [[1,6,7,14,15],[2,9,10],[3,12,13],[4],[5],[8],[11]]
[5,3,2,2,2,1] => [[1,3,10,14,15],[2,5,13],[4,7],[6,9],[8,12],[11]]
[5,3,2,2,1,1,1] => [[1,5,10,14,15],[2,7,13],[3,9],[4,12],[6],[8],[11]]
[5,3,2,1,1,1,1,1] => [[1,7,10,14,15],[2,9,13],[3,12],[4],[5],[6],[8],[11]]
[5,3,1,1,1,1,1,1,1] => [[1,9,10,14,15],[2,12,13],[3],[4],[5],[6],[7],[8],[11]]
[5,2,2,2,2,2] => [[1,2,13,14,15],[3,4],[5,6],[7,8],[9,10],[11,12]]
[5,2,2,2,2,1,1] => [[1,4,13,14,15],[2,6],[3,8],[5,10],[7,12],[9],[11]]
[5,2,2,2,1,1,1,1] => [[1,6,13,14,15],[2,8],[3,10],[4,12],[5],[7],[9],[11]]
[5,2,2,1,1,1,1,1,1] => [[1,8,13,14,15],[2,10],[3,12],[4],[5],[6],[7],[9],[11]]
[5,2,1,1,1,1,1,1,1,1] => [[1,10,13,14,15],[2,12],[3],[4],[5],[6],[7],[8],[9],[11]]
[5,1,1,1,1,1,1,1,1,1,1] => [[1,12,13,14,15],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11]]
[4,4,4,3] => [[1,2,3,7],[4,5,6,11],[8,9,10,15],[12,13,14]]
[4,4,4,2,1] => [[1,3,6,7],[2,5,10,11],[4,9,14,15],[8,13],[12]]
[4,4,4,1,1,1] => [[1,5,6,7],[2,9,10,11],[3,13,14,15],[4],[8],[12]]
[4,4,3,3,1] => [[1,3,4,11],[2,6,7,15],[5,9,10],[8,13,14],[12]]
[4,4,3,2,2] => [[1,2,7,11],[3,4,10,15],[5,6,14],[8,9],[12,13]]
[4,4,3,2,1,1] => [[1,4,7,11],[2,6,10,15],[3,9,14],[5,13],[8],[12]]
[4,4,3,1,1,1,1] => [[1,6,7,11],[2,9,10,15],[3,13,14],[4],[5],[8],[12]]
[4,4,2,2,2,1] => [[1,3,10,11],[2,5,14,15],[4,7],[6,9],[8,13],[12]]
[4,4,2,2,1,1,1] => [[1,5,10,11],[2,7,14,15],[3,9],[4,13],[6],[8],[12]]
[4,4,2,1,1,1,1,1] => [[1,7,10,11],[2,9,14,15],[3,13],[4],[5],[6],[8],[12]]
[4,4,1,1,1,1,1,1,1] => [[1,9,10,11],[2,13,14,15],[3],[4],[5],[6],[7],[8],[12]]
[4,3,3,3,2] => [[1,2,5,15],[3,4,8],[6,7,11],[9,10,14],[12,13]]
[4,3,3,3,1,1] => [[1,4,5,15],[2,7,8],[3,10,11],[6,13,14],[9],[12]]
[4,3,3,2,2,1] => [[1,3,8,15],[2,5,11],[4,7,14],[6,10],[9,13],[12]]
[4,3,3,2,1,1,1] => [[1,5,8,15],[2,7,11],[3,10,14],[4,13],[6],[9],[12]]
[4,3,3,1,1,1,1,1] => [[1,7,8,15],[2,10,11],[3,13,14],[4],[5],[6],[9],[12]]
[4,3,2,2,2,2] => [[1,2,11,15],[3,4,14],[5,6],[7,8],[9,10],[12,13]]
[4,3,2,2,2,1,1] => [[1,4,11,15],[2,6,14],[3,8],[5,10],[7,13],[9],[12]]
[4,3,2,2,1,1,1,1] => [[1,6,11,15],[2,8,14],[3,10],[4,13],[5],[7],[9],[12]]
[4,3,2,1,1,1,1,1,1] => [[1,8,11,15],[2,10,14],[3,13],[4],[5],[6],[7],[9],[12]]
[4,3,1,1,1,1,1,1,1,1] => [[1,10,11,15],[2,13,14],[3],[4],[5],[6],[7],[8],[9],[12]]
[4,2,2,2,2,2,1] => [[1,3,14,15],[2,5],[4,7],[6,9],[8,11],[10,13],[12]]
[4,2,2,2,2,1,1,1] => [[1,5,14,15],[2,7],[3,9],[4,11],[6,13],[8],[10],[12]]
[4,2,2,2,1,1,1,1,1] => [[1,7,14,15],[2,9],[3,11],[4,13],[5],[6],[8],[10],[12]]
[4,2,2,1,1,1,1,1,1,1] => [[1,9,14,15],[2,11],[3,13],[4],[5],[6],[7],[8],[10],[12]]
[4,2,1,1,1,1,1,1,1,1,1] => [[1,11,14,15],[2,13],[3],[4],[5],[6],[7],[8],[9],[10],[12]]
[4,1,1,1,1,1,1,1,1,1,1,1] => [[1,13,14,15],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]
[3,3,3,3,3] => [[1,2,3],[4,5,6],[7,8,9],[10,11,12],[13,14,15]]
[3,3,3,3,2,1] => [[1,3,6],[2,5,9],[4,8,12],[7,11,15],[10,14],[13]]
[3,3,3,3,1,1,1] => [[1,5,6],[2,8,9],[3,11,12],[4,14,15],[7],[10],[13]]
[3,3,3,2,2,2] => [[1,2,9],[3,4,12],[5,6,15],[7,8],[10,11],[13,14]]
[3,3,3,2,2,1,1] => [[1,4,9],[2,6,12],[3,8,15],[5,11],[7,14],[10],[13]]
[3,3,3,2,1,1,1,1] => [[1,6,9],[2,8,12],[3,11,15],[4,14],[5],[7],[10],[13]]
[3,3,3,1,1,1,1,1,1] => [[1,8,9],[2,11,12],[3,14,15],[4],[5],[6],[7],[10],[13]]
[3,3,2,2,2,2,1] => [[1,3,12],[2,5,15],[4,7],[6,9],[8,11],[10,14],[13]]
[3,3,2,2,2,1,1,1] => [[1,5,12],[2,7,15],[3,9],[4,11],[6,14],[8],[10],[13]]
[3,3,2,2,1,1,1,1,1] => [[1,7,12],[2,9,15],[3,11],[4,14],[5],[6],[8],[10],[13]]
[3,3,2,1,1,1,1,1,1,1] => [[1,9,12],[2,11,15],[3,14],[4],[5],[6],[7],[8],[10],[13]]
[3,3,1,1,1,1,1,1,1,1,1] => [[1,11,12],[2,14,15],[3],[4],[5],[6],[7],[8],[9],[10],[13]]
[3,2,2,2,2,2,2] => [[1,2,15],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]]
[3,2,2,2,2,2,1,1] => [[1,4,15],[2,6],[3,8],[5,10],[7,12],[9,14],[11],[13]]
[3,2,2,2,2,1,1,1,1] => [[1,6,15],[2,8],[3,10],[4,12],[5,14],[7],[9],[11],[13]]
[3,2,2,2,1,1,1,1,1,1] => [[1,8,15],[2,10],[3,12],[4,14],[5],[6],[7],[9],[11],[13]]
[3,2,2,1,1,1,1,1,1,1,1] => [[1,10,15],[2,12],[3,14],[4],[5],[6],[7],[8],[9],[11],[13]]
[3,2,1,1,1,1,1,1,1,1,1,1] => [[1,12,15],[2,14],[3],[4],[5],[6],[7],[8],[9],[10],[11],[13]]
[3,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,14,15],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13]]
[2,2,2,2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14]]
[2,2,2,2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4,11],[6,13],[8,15],[10],[12],[14]]
[2,2,2,2,2,1,1,1,1,1] => [[1,7],[2,9],[3,11],[4,13],[5,15],[6],[8],[10],[12],[14]]
[2,2,2,2,1,1,1,1,1,1,1] => [[1,9],[2,11],[3,13],[4,15],[5],[6],[7],[8],[10],[12],[14]]
[2,2,2,1,1,1,1,1,1,1,1,1] => [[1,11],[2,13],[3,15],[4],[5],[6],[7],[8],[9],[10],[12],[14]]
[2,2,1,1,1,1,1,1,1,1,1,1,1] => [[1,13],[2,15],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[14]]
[2,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,15],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14]]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14],[15]]
[16] => [[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]]
[15,1] => [[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16],[2]]
[14,2] => [[1,2,5,6,7,8,9,10,11,12,13,14,15,16],[3,4]]
[14,1,1] => [[1,4,5,6,7,8,9,10,11,12,13,14,15,16],[2],[3]]
[13,3] => [[1,2,3,7,8,9,10,11,12,13,14,15,16],[4,5,6]]
[13,2,1] => [[1,3,6,7,8,9,10,11,12,13,14,15,16],[2,5],[4]]
[13,1,1,1] => [[1,5,6,7,8,9,10,11,12,13,14,15,16],[2],[3],[4]]
[12,4] => [[1,2,3,4,9,10,11,12,13,14,15,16],[5,6,7,8]]
[12,3,1] => [[1,3,4,8,9,10,11,12,13,14,15,16],[2,6,7],[5]]
[12,2,2] => [[1,2,7,8,9,10,11,12,13,14,15,16],[3,4],[5,6]]
[12,2,1,1] => [[1,4,7,8,9,10,11,12,13,14,15,16],[2,6],[3],[5]]
[12,1,1,1,1] => [[1,6,7,8,9,10,11,12,13,14,15,16],[2],[3],[4],[5]]
[11,5] => [[1,2,3,4,5,11,12,13,14,15,16],[6,7,8,9,10]]
[11,4,1] => [[1,3,4,5,10,11,12,13,14,15,16],[2,7,8,9],[6]]
[11,3,2] => [[1,2,5,9,10,11,12,13,14,15,16],[3,4,8],[6,7]]
[11,3,1,1] => [[1,4,5,9,10,11,12,13,14,15,16],[2,7,8],[3],[6]]
[11,2,2,1] => [[1,3,8,9,10,11,12,13,14,15,16],[2,5],[4,7],[6]]
[11,2,1,1,1] => [[1,5,8,9,10,11,12,13,14,15,16],[2,7],[3],[4],[6]]
[11,1,1,1,1,1] => [[1,7,8,9,10,11,12,13,14,15,16],[2],[3],[4],[5],[6]]
[10,6] => [[1,2,3,4,5,6,13,14,15,16],[7,8,9,10,11,12]]
[10,5,1] => [[1,3,4,5,6,12,13,14,15,16],[2,8,9,10,11],[7]]
[10,4,2] => [[1,2,5,6,11,12,13,14,15,16],[3,4,9,10],[7,8]]
[10,4,1,1] => [[1,4,5,6,11,12,13,14,15,16],[2,8,9,10],[3],[7]]
[10,3,3] => [[1,2,3,10,11,12,13,14,15,16],[4,5,6],[7,8,9]]
[10,3,2,1] => [[1,3,6,10,11,12,13,14,15,16],[2,5,9],[4,8],[7]]
[10,3,1,1,1] => [[1,5,6,10,11,12,13,14,15,16],[2,8,9],[3],[4],[7]]
[10,2,2,2] => [[1,2,9,10,11,12,13,14,15,16],[3,4],[5,6],[7,8]]
[10,2,2,1,1] => [[1,4,9,10,11,12,13,14,15,16],[2,6],[3,8],[5],[7]]
[10,2,1,1,1,1] => [[1,6,9,10,11,12,13,14,15,16],[2,8],[3],[4],[5],[7]]
[10,1,1,1,1,1,1] => [[1,8,9,10,11,12,13,14,15,16],[2],[3],[4],[5],[6],[7]]
[9,7] => [[1,2,3,4,5,6,7,15,16],[8,9,10,11,12,13,14]]
[9,6,1] => [[1,3,4,5,6,7,14,15,16],[2,9,10,11,12,13],[8]]
[9,5,2] => [[1,2,5,6,7,13,14,15,16],[3,4,10,11,12],[8,9]]
[9,5,1,1] => [[1,4,5,6,7,13,14,15,16],[2,9,10,11,12],[3],[8]]
[9,4,3] => [[1,2,3,7,12,13,14,15,16],[4,5,6,11],[8,9,10]]
[9,4,2,1] => [[1,3,6,7,12,13,14,15,16],[2,5,10,11],[4,9],[8]]
[9,4,1,1,1] => [[1,5,6,7,12,13,14,15,16],[2,9,10,11],[3],[4],[8]]
[9,3,3,1] => [[1,3,4,11,12,13,14,15,16],[2,6,7],[5,9,10],[8]]
[9,3,2,2] => [[1,2,7,11,12,13,14,15,16],[3,4,10],[5,6],[8,9]]
[9,3,2,1,1] => [[1,4,7,11,12,13,14,15,16],[2,6,10],[3,9],[5],[8]]
[9,3,1,1,1,1] => [[1,6,7,11,12,13,14,15,16],[2,9,10],[3],[4],[5],[8]]
[9,2,2,2,1] => [[1,3,10,11,12,13,14,15,16],[2,5],[4,7],[6,9],[8]]
[9,2,2,1,1,1] => [[1,5,10,11,12,13,14,15,16],[2,7],[3,9],[4],[6],[8]]
[9,2,1,1,1,1,1] => [[1,7,10,11,12,13,14,15,16],[2,9],[3],[4],[5],[6],[8]]
[9,1,1,1,1,1,1,1] => [[1,9,10,11,12,13,14,15,16],[2],[3],[4],[5],[6],[7],[8]]
[8,8] => [[1,2,3,4,5,6,7,8],[9,10,11,12,13,14,15,16]]
[8,7,1] => [[1,3,4,5,6,7,8,16],[2,10,11,12,13,14,15],[9]]
[8,6,2] => [[1,2,5,6,7,8,15,16],[3,4,11,12,13,14],[9,10]]
[8,6,1,1] => [[1,4,5,6,7,8,15,16],[2,10,11,12,13,14],[3],[9]]
[8,5,3] => [[1,2,3,7,8,14,15,16],[4,5,6,12,13],[9,10,11]]
[8,5,2,1] => [[1,3,6,7,8,14,15,16],[2,5,11,12,13],[4,10],[9]]
[8,5,1,1,1] => [[1,5,6,7,8,14,15,16],[2,10,11,12,13],[3],[4],[9]]
[8,4,4] => [[1,2,3,4,13,14,15,16],[5,6,7,8],[9,10,11,12]]
[8,4,3,1] => [[1,3,4,8,13,14,15,16],[2,6,7,12],[5,10,11],[9]]
[8,4,2,2] => [[1,2,7,8,13,14,15,16],[3,4,11,12],[5,6],[9,10]]
[8,4,2,1,1] => [[1,4,7,8,13,14,15,16],[2,6,11,12],[3,10],[5],[9]]
[8,4,1,1,1,1] => [[1,6,7,8,13,14,15,16],[2,10,11,12],[3],[4],[5],[9]]
[8,3,3,2] => [[1,2,5,12,13,14,15,16],[3,4,8],[6,7,11],[9,10]]
[8,3,3,1,1] => [[1,4,5,12,13,14,15,16],[2,7,8],[3,10,11],[6],[9]]
[8,3,2,2,1] => [[1,3,8,12,13,14,15,16],[2,5,11],[4,7],[6,10],[9]]
[8,3,2,1,1,1] => [[1,5,8,12,13,14,15,16],[2,7,11],[3,10],[4],[6],[9]]
[8,3,1,1,1,1,1] => [[1,7,8,12,13,14,15,16],[2,10,11],[3],[4],[5],[6],[9]]
[8,2,2,2,2] => [[1,2,11,12,13,14,15,16],[3,4],[5,6],[7,8],[9,10]]
[8,2,2,2,1,1] => [[1,4,11,12,13,14,15,16],[2,6],[3,8],[5,10],[7],[9]]
[8,2,2,1,1,1,1] => [[1,6,11,12,13,14,15,16],[2,8],[3,10],[4],[5],[7],[9]]
[8,2,1,1,1,1,1,1] => [[1,8,11,12,13,14,15,16],[2,10],[3],[4],[5],[6],[7],[9]]
[8,1,1,1,1,1,1,1,1] => [[1,10,11,12,13,14,15,16],[2],[3],[4],[5],[6],[7],[8],[9]]
[7,7,2] => [[1,2,5,6,7,8,9],[3,4,12,13,14,15,16],[10,11]]
[7,7,1,1] => [[1,4,5,6,7,8,9],[2,11,12,13,14,15,16],[3],[10]]
[7,6,3] => [[1,2,3,7,8,9,16],[4,5,6,13,14,15],[10,11,12]]
[7,6,2,1] => [[1,3,6,7,8,9,16],[2,5,12,13,14,15],[4,11],[10]]
[7,6,1,1,1] => [[1,5,6,7,8,9,16],[2,11,12,13,14,15],[3],[4],[10]]
[7,5,4] => [[1,2,3,4,9,15,16],[5,6,7,8,14],[10,11,12,13]]
[7,5,3,1] => [[1,3,4,8,9,15,16],[2,6,7,13,14],[5,11,12],[10]]
[7,5,2,2] => [[1,2,7,8,9,15,16],[3,4,12,13,14],[5,6],[10,11]]
[7,5,2,1,1] => [[1,4,7,8,9,15,16],[2,6,12,13,14],[3,11],[5],[10]]
[7,5,1,1,1,1] => [[1,6,7,8,9,15,16],[2,11,12,13,14],[3],[4],[5],[10]]
[7,4,4,1] => [[1,3,4,5,14,15,16],[2,7,8,9],[6,11,12,13],[10]]
[7,4,3,2] => [[1,2,5,9,14,15,16],[3,4,8,13],[6,7,12],[10,11]]
[7,4,3,1,1] => [[1,4,5,9,14,15,16],[2,7,8,13],[3,11,12],[6],[10]]
[7,4,2,2,1] => [[1,3,8,9,14,15,16],[2,5,12,13],[4,7],[6,11],[10]]
[7,4,2,1,1,1] => [[1,5,8,9,14,15,16],[2,7,12,13],[3,11],[4],[6],[10]]
[7,4,1,1,1,1,1] => [[1,7,8,9,14,15,16],[2,11,12,13],[3],[4],[5],[6],[10]]
[7,3,3,3] => [[1,2,3,13,14,15,16],[4,5,6],[7,8,9],[10,11,12]]
[7,3,3,2,1] => [[1,3,6,13,14,15,16],[2,5,9],[4,8,12],[7,11],[10]]
[7,3,3,1,1,1] => [[1,5,6,13,14,15,16],[2,8,9],[3,11,12],[4],[7],[10]]
[7,3,2,2,2] => [[1,2,9,13,14,15,16],[3,4,12],[5,6],[7,8],[10,11]]
[7,3,2,2,1,1] => [[1,4,9,13,14,15,16],[2,6,12],[3,8],[5,11],[7],[10]]
[7,3,2,1,1,1,1] => [[1,6,9,13,14,15,16],[2,8,12],[3,11],[4],[5],[7],[10]]
[7,3,1,1,1,1,1,1] => [[1,8,9,13,14,15,16],[2,11,12],[3],[4],[5],[6],[7],[10]]
[7,2,2,2,2,1] => [[1,3,12,13,14,15,16],[2,5],[4,7],[6,9],[8,11],[10]]
[7,2,2,2,1,1,1] => [[1,5,12,13,14,15,16],[2,7],[3,9],[4,11],[6],[8],[10]]
[7,2,2,1,1,1,1,1] => [[1,7,12,13,14,15,16],[2,9],[3,11],[4],[5],[6],[8],[10]]
[7,2,1,1,1,1,1,1,1] => [[1,9,12,13,14,15,16],[2,11],[3],[4],[5],[6],[7],[8],[10]]
[7,1,1,1,1,1,1,1,1,1] => [[1,11,12,13,14,15,16],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[6,6,4] => [[1,2,3,4,9,10],[5,6,7,8,15,16],[11,12,13,14]]
[6,6,3,1] => [[1,3,4,8,9,10],[2,6,7,14,15,16],[5,12,13],[11]]
[6,6,2,2] => [[1,2,7,8,9,10],[3,4,13,14,15,16],[5,6],[11,12]]
[6,6,2,1,1] => [[1,4,7,8,9,10],[2,6,13,14,15,16],[3,12],[5],[11]]
[6,6,1,1,1,1] => [[1,6,7,8,9,10],[2,12,13,14,15,16],[3],[4],[5],[11]]
[6,5,5] => [[1,2,3,4,5,16],[6,7,8,9,10],[11,12,13,14,15]]
[6,5,4,1] => [[1,3,4,5,10,16],[2,7,8,9,15],[6,12,13,14],[11]]
[6,5,3,2] => [[1,2,5,9,10,16],[3,4,8,14,15],[6,7,13],[11,12]]
[6,5,3,1,1] => [[1,4,5,9,10,16],[2,7,8,14,15],[3,12,13],[6],[11]]
[6,5,2,2,1] => [[1,3,8,9,10,16],[2,5,13,14,15],[4,7],[6,12],[11]]
[6,5,2,1,1,1] => [[1,5,8,9,10,16],[2,7,13,14,15],[3,12],[4],[6],[11]]
[6,5,1,1,1,1,1] => [[1,7,8,9,10,16],[2,12,13,14,15],[3],[4],[5],[6],[11]]
[6,4,4,2] => [[1,2,5,6,15,16],[3,4,9,10],[7,8,13,14],[11,12]]
[6,4,4,1,1] => [[1,4,5,6,15,16],[2,8,9,10],[3,12,13,14],[7],[11]]
[6,4,3,3] => [[1,2,3,10,15,16],[4,5,6,14],[7,8,9],[11,12,13]]
[6,4,3,2,1] => [[1,3,6,10,15,16],[2,5,9,14],[4,8,13],[7,12],[11]]
[6,4,3,1,1,1] => [[1,5,6,10,15,16],[2,8,9,14],[3,12,13],[4],[7],[11]]
[6,4,2,2,2] => [[1,2,9,10,15,16],[3,4,13,14],[5,6],[7,8],[11,12]]
[6,4,2,2,1,1] => [[1,4,9,10,15,16],[2,6,13,14],[3,8],[5,12],[7],[11]]
[6,4,2,1,1,1,1] => [[1,6,9,10,15,16],[2,8,13,14],[3,12],[4],[5],[7],[11]]
[6,4,1,1,1,1,1,1] => [[1,8,9,10,15,16],[2,12,13,14],[3],[4],[5],[6],[7],[11]]
[6,3,3,3,1] => [[1,3,4,14,15,16],[2,6,7],[5,9,10],[8,12,13],[11]]
[6,3,3,2,2] => [[1,2,7,14,15,16],[3,4,10],[5,6,13],[8,9],[11,12]]
[6,3,3,2,1,1] => [[1,4,7,14,15,16],[2,6,10],[3,9,13],[5,12],[8],[11]]
[6,3,3,1,1,1,1] => [[1,6,7,14,15,16],[2,9,10],[3,12,13],[4],[5],[8],[11]]
[6,3,2,2,2,1] => [[1,3,10,14,15,16],[2,5,13],[4,7],[6,9],[8,12],[11]]
[6,3,2,2,1,1,1] => [[1,5,10,14,15,16],[2,7,13],[3,9],[4,12],[6],[8],[11]]
[6,3,2,1,1,1,1,1] => [[1,7,10,14,15,16],[2,9,13],[3,12],[4],[5],[6],[8],[11]]
[6,3,1,1,1,1,1,1,1] => [[1,9,10,14,15,16],[2,12,13],[3],[4],[5],[6],[7],[8],[11]]
[6,2,2,2,2,2] => [[1,2,13,14,15,16],[3,4],[5,6],[7,8],[9,10],[11,12]]
[6,2,2,2,2,1,1] => [[1,4,13,14,15,16],[2,6],[3,8],[5,10],[7,12],[9],[11]]
[6,2,2,2,1,1,1,1] => [[1,6,13,14,15,16],[2,8],[3,10],[4,12],[5],[7],[9],[11]]
[6,2,2,1,1,1,1,1,1] => [[1,8,13,14,15,16],[2,10],[3,12],[4],[5],[6],[7],[9],[11]]
[6,2,1,1,1,1,1,1,1,1] => [[1,10,13,14,15,16],[2,12],[3],[4],[5],[6],[7],[8],[9],[11]]
[6,1,1,1,1,1,1,1,1,1,1] => [[1,12,13,14,15,16],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11]]
[5,5,5,1] => [[1,3,4,5,6],[2,8,9,10,11],[7,13,14,15,16],[12]]
[5,5,4,2] => [[1,2,5,6,11],[3,4,9,10,16],[7,8,14,15],[12,13]]
[5,5,4,1,1] => [[1,4,5,6,11],[2,8,9,10,16],[3,13,14,15],[7],[12]]
[5,5,3,3] => [[1,2,3,10,11],[4,5,6,15,16],[7,8,9],[12,13,14]]
[5,5,3,2,1] => [[1,3,6,10,11],[2,5,9,15,16],[4,8,14],[7,13],[12]]
[5,5,3,1,1,1] => [[1,5,6,10,11],[2,8,9,15,16],[3,13,14],[4],[7],[12]]
[5,5,2,2,2] => [[1,2,9,10,11],[3,4,14,15,16],[5,6],[7,8],[12,13]]
[5,5,2,2,1,1] => [[1,4,9,10,11],[2,6,14,15,16],[3,8],[5,13],[7],[12]]
[5,5,2,1,1,1,1] => [[1,6,9,10,11],[2,8,14,15,16],[3,13],[4],[5],[7],[12]]
[5,5,1,1,1,1,1,1] => [[1,8,9,10,11],[2,13,14,15,16],[3],[4],[5],[6],[7],[12]]
[5,4,4,3] => [[1,2,3,7,16],[4,5,6,11],[8,9,10,15],[12,13,14]]
[5,4,4,2,1] => [[1,3,6,7,16],[2,5,10,11],[4,9,14,15],[8,13],[12]]
[5,4,4,1,1,1] => [[1,5,6,7,16],[2,9,10,11],[3,13,14,15],[4],[8],[12]]
[5,4,3,3,1] => [[1,3,4,11,16],[2,6,7,15],[5,9,10],[8,13,14],[12]]
[5,4,3,2,2] => [[1,2,7,11,16],[3,4,10,15],[5,6,14],[8,9],[12,13]]
[5,4,3,2,1,1] => [[1,4,7,11,16],[2,6,10,15],[3,9,14],[5,13],[8],[12]]
[5,4,3,1,1,1,1] => [[1,6,7,11,16],[2,9,10,15],[3,13,14],[4],[5],[8],[12]]
[5,4,2,2,2,1] => [[1,3,10,11,16],[2,5,14,15],[4,7],[6,9],[8,13],[12]]
[5,4,2,2,1,1,1] => [[1,5,10,11,16],[2,7,14,15],[3,9],[4,13],[6],[8],[12]]
[5,4,2,1,1,1,1,1] => [[1,7,10,11,16],[2,9,14,15],[3,13],[4],[5],[6],[8],[12]]
[5,4,1,1,1,1,1,1,1] => [[1,9,10,11,16],[2,13,14,15],[3],[4],[5],[6],[7],[8],[12]]
[5,3,3,3,2] => [[1,2,5,15,16],[3,4,8],[6,7,11],[9,10,14],[12,13]]
[5,3,3,3,1,1] => [[1,4,5,15,16],[2,7,8],[3,10,11],[6,13,14],[9],[12]]
[5,3,3,2,2,1] => [[1,3,8,15,16],[2,5,11],[4,7,14],[6,10],[9,13],[12]]
[5,3,3,2,1,1,1] => [[1,5,8,15,16],[2,7,11],[3,10,14],[4,13],[6],[9],[12]]
[5,3,3,1,1,1,1,1] => [[1,7,8,15,16],[2,10,11],[3,13,14],[4],[5],[6],[9],[12]]
[5,3,2,2,2,2] => [[1,2,11,15,16],[3,4,14],[5,6],[7,8],[9,10],[12,13]]
[5,3,2,2,2,1,1] => [[1,4,11,15,16],[2,6,14],[3,8],[5,10],[7,13],[9],[12]]
[5,3,2,2,1,1,1,1] => [[1,6,11,15,16],[2,8,14],[3,10],[4,13],[5],[7],[9],[12]]
[5,3,2,1,1,1,1,1,1] => [[1,8,11,15,16],[2,10,14],[3,13],[4],[5],[6],[7],[9],[12]]
[5,3,1,1,1,1,1,1,1,1] => [[1,10,11,15,16],[2,13,14],[3],[4],[5],[6],[7],[8],[9],[12]]
[5,2,2,2,2,2,1] => [[1,3,14,15,16],[2,5],[4,7],[6,9],[8,11],[10,13],[12]]
[5,2,2,2,2,1,1,1] => [[1,5,14,15,16],[2,7],[3,9],[4,11],[6,13],[8],[10],[12]]
[5,2,2,2,1,1,1,1,1] => [[1,7,14,15,16],[2,9],[3,11],[4,13],[5],[6],[8],[10],[12]]
[5,2,2,1,1,1,1,1,1,1] => [[1,9,14,15,16],[2,11],[3,13],[4],[5],[6],[7],[8],[10],[12]]
[5,2,1,1,1,1,1,1,1,1,1] => [[1,11,14,15,16],[2,13],[3],[4],[5],[6],[7],[8],[9],[10],[12]]
[5,1,1,1,1,1,1,1,1,1,1,1] => [[1,13,14,15,16],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]
[4,4,4,4] => [[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]]
[4,4,4,3,1] => [[1,3,4,8],[2,6,7,12],[5,10,11,16],[9,14,15],[13]]
[4,4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6,15,16],[9,10],[13,14]]
[4,4,4,2,1,1] => [[1,4,7,8],[2,6,11,12],[3,10,15,16],[5,14],[9],[13]]
[4,4,4,1,1,1,1] => [[1,6,7,8],[2,10,11,12],[3,14,15,16],[4],[5],[9],[13]]
[4,4,3,3,2] => [[1,2,5,12],[3,4,8,16],[6,7,11],[9,10,15],[13,14]]
[4,4,3,3,1,1] => [[1,4,5,12],[2,7,8,16],[3,10,11],[6,14,15],[9],[13]]
[4,4,3,2,2,1] => [[1,3,8,12],[2,5,11,16],[4,7,15],[6,10],[9,14],[13]]
[4,4,3,2,1,1,1] => [[1,5,8,12],[2,7,11,16],[3,10,15],[4,14],[6],[9],[13]]
[4,4,3,1,1,1,1,1] => [[1,7,8,12],[2,10,11,16],[3,14,15],[4],[5],[6],[9],[13]]
[4,4,2,2,2,2] => [[1,2,11,12],[3,4,15,16],[5,6],[7,8],[9,10],[13,14]]
[4,4,2,2,2,1,1] => [[1,4,11,12],[2,6,15,16],[3,8],[5,10],[7,14],[9],[13]]
[4,4,2,2,1,1,1,1] => [[1,6,11,12],[2,8,15,16],[3,10],[4,14],[5],[7],[9],[13]]
[4,4,2,1,1,1,1,1,1] => [[1,8,11,12],[2,10,15,16],[3,14],[4],[5],[6],[7],[9],[13]]
[4,4,1,1,1,1,1,1,1,1] => [[1,10,11,12],[2,14,15,16],[3],[4],[5],[6],[7],[8],[9],[13]]
[4,3,3,3,3] => [[1,2,3,16],[4,5,6],[7,8,9],[10,11,12],[13,14,15]]
[4,3,3,3,2,1] => [[1,3,6,16],[2,5,9],[4,8,12],[7,11,15],[10,14],[13]]
[4,3,3,3,1,1,1] => [[1,5,6,16],[2,8,9],[3,11,12],[4,14,15],[7],[10],[13]]
[4,3,3,2,2,2] => [[1,2,9,16],[3,4,12],[5,6,15],[7,8],[10,11],[13,14]]
[4,3,3,2,2,1,1] => [[1,4,9,16],[2,6,12],[3,8,15],[5,11],[7,14],[10],[13]]
[4,3,3,2,1,1,1,1] => [[1,6,9,16],[2,8,12],[3,11,15],[4,14],[5],[7],[10],[13]]
[4,3,3,1,1,1,1,1,1] => [[1,8,9,16],[2,11,12],[3,14,15],[4],[5],[6],[7],[10],[13]]
[4,3,2,2,2,2,1] => [[1,3,12,16],[2,5,15],[4,7],[6,9],[8,11],[10,14],[13]]
[4,3,2,2,2,1,1,1] => [[1,5,12,16],[2,7,15],[3,9],[4,11],[6,14],[8],[10],[13]]
[4,3,2,2,1,1,1,1,1] => [[1,7,12,16],[2,9,15],[3,11],[4,14],[5],[6],[8],[10],[13]]
[4,3,2,1,1,1,1,1,1,1] => [[1,9,12,16],[2,11,15],[3,14],[4],[5],[6],[7],[8],[10],[13]]
[4,3,1,1,1,1,1,1,1,1,1] => [[1,11,12,16],[2,14,15],[3],[4],[5],[6],[7],[8],[9],[10],[13]]
[4,2,2,2,2,2,2] => [[1,2,15,16],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]]
[4,2,2,2,2,2,1,1] => [[1,4,15,16],[2,6],[3,8],[5,10],[7,12],[9,14],[11],[13]]
[4,2,2,2,2,1,1,1,1] => [[1,6,15,16],[2,8],[3,10],[4,12],[5,14],[7],[9],[11],[13]]
[4,2,2,2,1,1,1,1,1,1] => [[1,8,15,16],[2,10],[3,12],[4,14],[5],[6],[7],[9],[11],[13]]
[4,2,2,1,1,1,1,1,1,1,1] => [[1,10,15,16],[2,12],[3,14],[4],[5],[6],[7],[8],[9],[11],[13]]
[4,2,1,1,1,1,1,1,1,1,1,1] => [[1,12,15,16],[2,14],[3],[4],[5],[6],[7],[8],[9],[10],[11],[13]]
[4,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,14,15,16],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13]]
[3,3,3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8,12,13],[11,15,16],[14]]
[3,3,3,3,2,2] => [[1,2,7],[3,4,10],[5,6,13],[8,9,16],[11,12],[14,15]]
[3,3,3,3,2,1,1] => [[1,4,7],[2,6,10],[3,9,13],[5,12,16],[8,15],[11],[14]]
[3,3,3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3,12,13],[4,15,16],[5],[8],[11],[14]]
[3,3,3,2,2,2,1] => [[1,3,10],[2,5,13],[4,7,16],[6,9],[8,12],[11,15],[14]]
[3,3,3,2,2,1,1,1] => [[1,5,10],[2,7,13],[3,9,16],[4,12],[6,15],[8],[11],[14]]
[3,3,3,2,1,1,1,1,1] => [[1,7,10],[2,9,13],[3,12,16],[4,15],[5],[6],[8],[11],[14]]
[3,3,3,1,1,1,1,1,1,1] => [[1,9,10],[2,12,13],[3,15,16],[4],[5],[6],[7],[8],[11],[14]]
[3,3,2,2,2,2,2] => [[1,2,13],[3,4,16],[5,6],[7,8],[9,10],[11,12],[14,15]]
[3,3,2,2,2,2,1,1] => [[1,4,13],[2,6,16],[3,8],[5,10],[7,12],[9,15],[11],[14]]
[3,3,2,2,2,1,1,1,1] => [[1,6,13],[2,8,16],[3,10],[4,12],[5,15],[7],[9],[11],[14]]
[3,3,2,2,1,1,1,1,1,1] => [[1,8,13],[2,10,16],[3,12],[4,15],[5],[6],[7],[9],[11],[14]]
[3,3,2,1,1,1,1,1,1,1,1] => [[1,10,13],[2,12,16],[3,15],[4],[5],[6],[7],[8],[9],[11],[14]]
[3,3,1,1,1,1,1,1,1,1,1,1] => [[1,12,13],[2,15,16],[3],[4],[5],[6],[7],[8],[9],[10],[11],[14]]
[3,2,2,2,2,2,2,1] => [[1,3,16],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14]]
[3,2,2,2,2,2,1,1,1] => [[1,5,16],[2,7],[3,9],[4,11],[6,13],[8,15],[10],[12],[14]]
[3,2,2,2,2,1,1,1,1,1] => [[1,7,16],[2,9],[3,11],[4,13],[5,15],[6],[8],[10],[12],[14]]
[3,2,2,2,1,1,1,1,1,1,1] => [[1,9,16],[2,11],[3,13],[4,15],[5],[6],[7],[8],[10],[12],[14]]
[3,2,2,1,1,1,1,1,1,1,1,1] => [[1,11,16],[2,13],[3,15],[4],[5],[6],[7],[8],[9],[10],[12],[14]]
[3,2,1,1,1,1,1,1,1,1,1,1,1] => [[1,13,16],[2,15],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[14]]
[3,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,15,16],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14]]
[2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]]
[2,2,2,2,2,2,2,1,1] => [[1,4],[2,6],[3,8],[5,10],[7,12],[9,14],[11,16],[13],[15]]
[2,2,2,2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4,12],[5,14],[7,16],[9],[11],[13],[15]]
[2,2,2,2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3,12],[4,14],[5,16],[6],[7],[9],[11],[13],[15]]
[2,2,2,2,1,1,1,1,1,1,1,1] => [[1,10],[2,12],[3,14],[4,16],[5],[6],[7],[8],[9],[11],[13],[15]]
[2,2,2,1,1,1,1,1,1,1,1,1,1] => [[1,12],[2,14],[3,16],[4],[5],[6],[7],[8],[9],[10],[11],[13],[15]]
[2,2,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,14],[2,16],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[15]]
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,16],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14],[15]]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14],[15],[16]]
[17] => [[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]]
[16,1] => [[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17],[2]]
[15,2] => [[1,2,5,6,7,8,9,10,11,12,13,14,15,16,17],[3,4]]
[15,1,1] => [[1,4,5,6,7,8,9,10,11,12,13,14,15,16,17],[2],[3]]
[14,3] => [[1,2,3,7,8,9,10,11,12,13,14,15,16,17],[4,5,6]]
[14,2,1] => [[1,3,6,7,8,9,10,11,12,13,14,15,16,17],[2,5],[4]]
[14,1,1,1] => [[1,5,6,7,8,9,10,11,12,13,14,15,16,17],[2],[3],[4]]
[13,4] => [[1,2,3,4,9,10,11,12,13,14,15,16,17],[5,6,7,8]]
[13,3,1] => [[1,3,4,8,9,10,11,12,13,14,15,16,17],[2,6,7],[5]]
[13,2,2] => [[1,2,7,8,9,10,11,12,13,14,15,16,17],[3,4],[5,6]]
[13,2,1,1] => [[1,4,7,8,9,10,11,12,13,14,15,16,17],[2,6],[3],[5]]
[13,1,1,1,1] => [[1,6,7,8,9,10,11,12,13,14,15,16,17],[2],[3],[4],[5]]
[12,5] => [[1,2,3,4,5,11,12,13,14,15,16,17],[6,7,8,9,10]]
[12,4,1] => [[1,3,4,5,10,11,12,13,14,15,16,17],[2,7,8,9],[6]]
[12,3,2] => [[1,2,5,9,10,11,12,13,14,15,16,17],[3,4,8],[6,7]]
[12,3,1,1] => [[1,4,5,9,10,11,12,13,14,15,16,17],[2,7,8],[3],[6]]
[12,2,2,1] => [[1,3,8,9,10,11,12,13,14,15,16,17],[2,5],[4,7],[6]]
[12,2,1,1,1] => [[1,5,8,9,10,11,12,13,14,15,16,17],[2,7],[3],[4],[6]]
[12,1,1,1,1,1] => [[1,7,8,9,10,11,12,13,14,15,16,17],[2],[3],[4],[5],[6]]
[11,6] => [[1,2,3,4,5,6,13,14,15,16,17],[7,8,9,10,11,12]]
[11,5,1] => [[1,3,4,5,6,12,13,14,15,16,17],[2,8,9,10,11],[7]]
[11,4,2] => [[1,2,5,6,11,12,13,14,15,16,17],[3,4,9,10],[7,8]]
[11,4,1,1] => [[1,4,5,6,11,12,13,14,15,16,17],[2,8,9,10],[3],[7]]
[11,3,3] => [[1,2,3,10,11,12,13,14,15,16,17],[4,5,6],[7,8,9]]
[11,3,2,1] => [[1,3,6,10,11,12,13,14,15,16,17],[2,5,9],[4,8],[7]]
[11,3,1,1,1] => [[1,5,6,10,11,12,13,14,15,16,17],[2,8,9],[3],[4],[7]]
[11,2,2,2] => [[1,2,9,10,11,12,13,14,15,16,17],[3,4],[5,6],[7,8]]
[11,2,2,1,1] => [[1,4,9,10,11,12,13,14,15,16,17],[2,6],[3,8],[5],[7]]
[11,2,1,1,1,1] => [[1,6,9,10,11,12,13,14,15,16,17],[2,8],[3],[4],[5],[7]]
[11,1,1,1,1,1,1] => [[1,8,9,10,11,12,13,14,15,16,17],[2],[3],[4],[5],[6],[7]]
[10,7] => [[1,2,3,4,5,6,7,15,16,17],[8,9,10,11,12,13,14]]
[10,6,1] => [[1,3,4,5,6,7,14,15,16,17],[2,9,10,11,12,13],[8]]
[10,5,2] => [[1,2,5,6,7,13,14,15,16,17],[3,4,10,11,12],[8,9]]
[10,5,1,1] => [[1,4,5,6,7,13,14,15,16,17],[2,9,10,11,12],[3],[8]]
[10,4,3] => [[1,2,3,7,12,13,14,15,16,17],[4,5,6,11],[8,9,10]]
[10,4,2,1] => [[1,3,6,7,12,13,14,15,16,17],[2,5,10,11],[4,9],[8]]
[10,4,1,1,1] => [[1,5,6,7,12,13,14,15,16,17],[2,9,10,11],[3],[4],[8]]
[10,3,3,1] => [[1,3,4,11,12,13,14,15,16,17],[2,6,7],[5,9,10],[8]]
[10,3,2,2] => [[1,2,7,11,12,13,14,15,16,17],[3,4,10],[5,6],[8,9]]
[10,3,2,1,1] => [[1,4,7,11,12,13,14,15,16,17],[2,6,10],[3,9],[5],[8]]
[10,3,1,1,1,1] => [[1,6,7,11,12,13,14,15,16,17],[2,9,10],[3],[4],[5],[8]]
[10,2,2,2,1] => [[1,3,10,11,12,13,14,15,16,17],[2,5],[4,7],[6,9],[8]]
[10,2,2,1,1,1] => [[1,5,10,11,12,13,14,15,16,17],[2,7],[3,9],[4],[6],[8]]
[10,2,1,1,1,1,1] => [[1,7,10,11,12,13,14,15,16,17],[2,9],[3],[4],[5],[6],[8]]
[10,1,1,1,1,1,1,1] => [[1,9,10,11,12,13,14,15,16,17],[2],[3],[4],[5],[6],[7],[8]]
[9,8] => [[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16]]
[9,7,1] => [[1,3,4,5,6,7,8,16,17],[2,10,11,12,13,14,15],[9]]
[9,6,2] => [[1,2,5,6,7,8,15,16,17],[3,4,11,12,13,14],[9,10]]
[9,6,1,1] => [[1,4,5,6,7,8,15,16,17],[2,10,11,12,13,14],[3],[9]]
[9,5,3] => [[1,2,3,7,8,14,15,16,17],[4,5,6,12,13],[9,10,11]]
[9,5,2,1] => [[1,3,6,7,8,14,15,16,17],[2,5,11,12,13],[4,10],[9]]
[9,5,1,1,1] => [[1,5,6,7,8,14,15,16,17],[2,10,11,12,13],[3],[4],[9]]
[9,4,4] => [[1,2,3,4,13,14,15,16,17],[5,6,7,8],[9,10,11,12]]
[9,4,3,1] => [[1,3,4,8,13,14,15,16,17],[2,6,7,12],[5,10,11],[9]]
[9,4,2,2] => [[1,2,7,8,13,14,15,16,17],[3,4,11,12],[5,6],[9,10]]
[9,4,2,1,1] => [[1,4,7,8,13,14,15,16,17],[2,6,11,12],[3,10],[5],[9]]
[9,4,1,1,1,1] => [[1,6,7,8,13,14,15,16,17],[2,10,11,12],[3],[4],[5],[9]]
[9,3,3,2] => [[1,2,5,12,13,14,15,16,17],[3,4,8],[6,7,11],[9,10]]
[9,3,3,1,1] => [[1,4,5,12,13,14,15,16,17],[2,7,8],[3,10,11],[6],[9]]
[9,3,2,2,1] => [[1,3,8,12,13,14,15,16,17],[2,5,11],[4,7],[6,10],[9]]
[9,3,2,1,1,1] => [[1,5,8,12,13,14,15,16,17],[2,7,11],[3,10],[4],[6],[9]]
[9,3,1,1,1,1,1] => [[1,7,8,12,13,14,15,16,17],[2,10,11],[3],[4],[5],[6],[9]]
[9,2,2,2,2] => [[1,2,11,12,13,14,15,16,17],[3,4],[5,6],[7,8],[9,10]]
[9,2,2,2,1,1] => [[1,4,11,12,13,14,15,16,17],[2,6],[3,8],[5,10],[7],[9]]
[9,2,2,1,1,1,1] => [[1,6,11,12,13,14,15,16,17],[2,8],[3,10],[4],[5],[7],[9]]
[9,2,1,1,1,1,1,1] => [[1,8,11,12,13,14,15,16,17],[2,10],[3],[4],[5],[6],[7],[9]]
[9,1,1,1,1,1,1,1,1] => [[1,10,11,12,13,14,15,16,17],[2],[3],[4],[5],[6],[7],[8],[9]]
[8,8,1] => [[1,3,4,5,6,7,8,9],[2,11,12,13,14,15,16,17],[10]]
[8,7,2] => [[1,2,5,6,7,8,9,17],[3,4,12,13,14,15,16],[10,11]]
[8,7,1,1] => [[1,4,5,6,7,8,9,17],[2,11,12,13,14,15,16],[3],[10]]
[8,6,3] => [[1,2,3,7,8,9,16,17],[4,5,6,13,14,15],[10,11,12]]
[8,6,2,1] => [[1,3,6,7,8,9,16,17],[2,5,12,13,14,15],[4,11],[10]]
[8,6,1,1,1] => [[1,5,6,7,8,9,16,17],[2,11,12,13,14,15],[3],[4],[10]]
[8,5,4] => [[1,2,3,4,9,15,16,17],[5,6,7,8,14],[10,11,12,13]]
[8,5,3,1] => [[1,3,4,8,9,15,16,17],[2,6,7,13,14],[5,11,12],[10]]
[8,5,2,2] => [[1,2,7,8,9,15,16,17],[3,4,12,13,14],[5,6],[10,11]]
[8,5,2,1,1] => [[1,4,7,8,9,15,16,17],[2,6,12,13,14],[3,11],[5],[10]]
[8,5,1,1,1,1] => [[1,6,7,8,9,15,16,17],[2,11,12,13,14],[3],[4],[5],[10]]
[8,4,4,1] => [[1,3,4,5,14,15,16,17],[2,7,8,9],[6,11,12,13],[10]]
[8,4,3,2] => [[1,2,5,9,14,15,16,17],[3,4,8,13],[6,7,12],[10,11]]
[8,4,3,1,1] => [[1,4,5,9,14,15,16,17],[2,7,8,13],[3,11,12],[6],[10]]
[8,4,2,2,1] => [[1,3,8,9,14,15,16,17],[2,5,12,13],[4,7],[6,11],[10]]
[8,4,2,1,1,1] => [[1,5,8,9,14,15,16,17],[2,7,12,13],[3,11],[4],[6],[10]]
[8,4,1,1,1,1,1] => [[1,7,8,9,14,15,16,17],[2,11,12,13],[3],[4],[5],[6],[10]]
[8,3,3,3] => [[1,2,3,13,14,15,16,17],[4,5,6],[7,8,9],[10,11,12]]
[8,3,3,2,1] => [[1,3,6,13,14,15,16,17],[2,5,9],[4,8,12],[7,11],[10]]
[8,3,3,1,1,1] => [[1,5,6,13,14,15,16,17],[2,8,9],[3,11,12],[4],[7],[10]]
[8,3,2,2,2] => [[1,2,9,13,14,15,16,17],[3,4,12],[5,6],[7,8],[10,11]]
[8,3,2,2,1,1] => [[1,4,9,13,14,15,16,17],[2,6,12],[3,8],[5,11],[7],[10]]
[8,3,2,1,1,1,1] => [[1,6,9,13,14,15,16,17],[2,8,12],[3,11],[4],[5],[7],[10]]
[8,3,1,1,1,1,1,1] => [[1,8,9,13,14,15,16,17],[2,11,12],[3],[4],[5],[6],[7],[10]]
[8,2,2,2,2,1] => [[1,3,12,13,14,15,16,17],[2,5],[4,7],[6,9],[8,11],[10]]
[8,2,2,2,1,1,1] => [[1,5,12,13,14,15,16,17],[2,7],[3,9],[4,11],[6],[8],[10]]
[8,2,2,1,1,1,1,1] => [[1,7,12,13,14,15,16,17],[2,9],[3,11],[4],[5],[6],[8],[10]]
[8,2,1,1,1,1,1,1,1] => [[1,9,12,13,14,15,16,17],[2,11],[3],[4],[5],[6],[7],[8],[10]]
[8,1,1,1,1,1,1,1,1,1] => [[1,11,12,13,14,15,16,17],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[7,7,3] => [[1,2,3,7,8,9,10],[4,5,6,14,15,16,17],[11,12,13]]
[7,7,2,1] => [[1,3,6,7,8,9,10],[2,5,13,14,15,16,17],[4,12],[11]]
[7,7,1,1,1] => [[1,5,6,7,8,9,10],[2,12,13,14,15,16,17],[3],[4],[11]]
[7,6,4] => [[1,2,3,4,9,10,17],[5,6,7,8,15,16],[11,12,13,14]]
[7,6,3,1] => [[1,3,4,8,9,10,17],[2,6,7,14,15,16],[5,12,13],[11]]
[7,6,2,2] => [[1,2,7,8,9,10,17],[3,4,13,14,15,16],[5,6],[11,12]]
[7,6,2,1,1] => [[1,4,7,8,9,10,17],[2,6,13,14,15,16],[3,12],[5],[11]]
[7,6,1,1,1,1] => [[1,6,7,8,9,10,17],[2,12,13,14,15,16],[3],[4],[5],[11]]
[7,5,5] => [[1,2,3,4,5,16,17],[6,7,8,9,10],[11,12,13,14,15]]
[7,5,4,1] => [[1,3,4,5,10,16,17],[2,7,8,9,15],[6,12,13,14],[11]]
[7,5,3,2] => [[1,2,5,9,10,16,17],[3,4,8,14,15],[6,7,13],[11,12]]
[7,5,3,1,1] => [[1,4,5,9,10,16,17],[2,7,8,14,15],[3,12,13],[6],[11]]
[7,5,2,2,1] => [[1,3,8,9,10,16,17],[2,5,13,14,15],[4,7],[6,12],[11]]
[7,5,2,1,1,1] => [[1,5,8,9,10,16,17],[2,7,13,14,15],[3,12],[4],[6],[11]]
[7,5,1,1,1,1,1] => [[1,7,8,9,10,16,17],[2,12,13,14,15],[3],[4],[5],[6],[11]]
[7,4,4,2] => [[1,2,5,6,15,16,17],[3,4,9,10],[7,8,13,14],[11,12]]
[7,4,4,1,1] => [[1,4,5,6,15,16,17],[2,8,9,10],[3,12,13,14],[7],[11]]
[7,4,3,3] => [[1,2,3,10,15,16,17],[4,5,6,14],[7,8,9],[11,12,13]]
[7,4,3,2,1] => [[1,3,6,10,15,16,17],[2,5,9,14],[4,8,13],[7,12],[11]]
[7,4,3,1,1,1] => [[1,5,6,10,15,16,17],[2,8,9,14],[3,12,13],[4],[7],[11]]
[7,4,2,2,2] => [[1,2,9,10,15,16,17],[3,4,13,14],[5,6],[7,8],[11,12]]
[7,4,2,2,1,1] => [[1,4,9,10,15,16,17],[2,6,13,14],[3,8],[5,12],[7],[11]]
[7,4,2,1,1,1,1] => [[1,6,9,10,15,16,17],[2,8,13,14],[3,12],[4],[5],[7],[11]]
[7,4,1,1,1,1,1,1] => [[1,8,9,10,15,16,17],[2,12,13,14],[3],[4],[5],[6],[7],[11]]
[7,3,3,3,1] => [[1,3,4,14,15,16,17],[2,6,7],[5,9,10],[8,12,13],[11]]
[7,3,3,2,2] => [[1,2,7,14,15,16,17],[3,4,10],[5,6,13],[8,9],[11,12]]
[7,3,3,2,1,1] => [[1,4,7,14,15,16,17],[2,6,10],[3,9,13],[5,12],[8],[11]]
[7,3,3,1,1,1,1] => [[1,6,7,14,15,16,17],[2,9,10],[3,12,13],[4],[5],[8],[11]]
[7,3,2,2,2,1] => [[1,3,10,14,15,16,17],[2,5,13],[4,7],[6,9],[8,12],[11]]
[7,3,2,2,1,1,1] => [[1,5,10,14,15,16,17],[2,7,13],[3,9],[4,12],[6],[8],[11]]
[7,3,2,1,1,1,1,1] => [[1,7,10,14,15,16,17],[2,9,13],[3,12],[4],[5],[6],[8],[11]]
[7,3,1,1,1,1,1,1,1] => [[1,9,10,14,15,16,17],[2,12,13],[3],[4],[5],[6],[7],[8],[11]]
[7,2,2,2,2,2] => [[1,2,13,14,15,16,17],[3,4],[5,6],[7,8],[9,10],[11,12]]
[7,2,2,2,2,1,1] => [[1,4,13,14,15,16,17],[2,6],[3,8],[5,10],[7,12],[9],[11]]
[7,2,2,2,1,1,1,1] => [[1,6,13,14,15,16,17],[2,8],[3,10],[4,12],[5],[7],[9],[11]]
[7,2,2,1,1,1,1,1,1] => [[1,8,13,14,15,16,17],[2,10],[3,12],[4],[5],[6],[7],[9],[11]]
[7,2,1,1,1,1,1,1,1,1] => [[1,10,13,14,15,16,17],[2,12],[3],[4],[5],[6],[7],[8],[9],[11]]
[7,1,1,1,1,1,1,1,1,1,1] => [[1,12,13,14,15,16,17],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11]]
[6,6,5] => [[1,2,3,4,5,11],[6,7,8,9,10,17],[12,13,14,15,16]]
[6,6,4,1] => [[1,3,4,5,10,11],[2,7,8,9,16,17],[6,13,14,15],[12]]
[6,6,3,2] => [[1,2,5,9,10,11],[3,4,8,15,16,17],[6,7,14],[12,13]]
[6,6,3,1,1] => [[1,4,5,9,10,11],[2,7,8,15,16,17],[3,13,14],[6],[12]]
[6,6,2,2,1] => [[1,3,8,9,10,11],[2,5,14,15,16,17],[4,7],[6,13],[12]]
[6,6,2,1,1,1] => [[1,5,8,9,10,11],[2,7,14,15,16,17],[3,13],[4],[6],[12]]
[6,6,1,1,1,1,1] => [[1,7,8,9,10,11],[2,13,14,15,16,17],[3],[4],[5],[6],[12]]
[6,5,5,1] => [[1,3,4,5,6,17],[2,8,9,10,11],[7,13,14,15,16],[12]]
[6,5,4,2] => [[1,2,5,6,11,17],[3,4,9,10,16],[7,8,14,15],[12,13]]
[6,5,4,1,1] => [[1,4,5,6,11,17],[2,8,9,10,16],[3,13,14,15],[7],[12]]
[6,5,3,3] => [[1,2,3,10,11,17],[4,5,6,15,16],[7,8,9],[12,13,14]]
[6,5,3,2,1] => [[1,3,6,10,11,17],[2,5,9,15,16],[4,8,14],[7,13],[12]]
[6,5,3,1,1,1] => [[1,5,6,10,11,17],[2,8,9,15,16],[3,13,14],[4],[7],[12]]
[6,5,2,2,2] => [[1,2,9,10,11,17],[3,4,14,15,16],[5,6],[7,8],[12,13]]
[6,5,2,2,1,1] => [[1,4,9,10,11,17],[2,6,14,15,16],[3,8],[5,13],[7],[12]]
[6,5,2,1,1,1,1] => [[1,6,9,10,11,17],[2,8,14,15,16],[3,13],[4],[5],[7],[12]]
[6,5,1,1,1,1,1,1] => [[1,8,9,10,11,17],[2,13,14,15,16],[3],[4],[5],[6],[7],[12]]
[6,4,4,3] => [[1,2,3,7,16,17],[4,5,6,11],[8,9,10,15],[12,13,14]]
[6,4,4,2,1] => [[1,3,6,7,16,17],[2,5,10,11],[4,9,14,15],[8,13],[12]]
[6,4,4,1,1,1] => [[1,5,6,7,16,17],[2,9,10,11],[3,13,14,15],[4],[8],[12]]
[6,4,3,3,1] => [[1,3,4,11,16,17],[2,6,7,15],[5,9,10],[8,13,14],[12]]
[6,4,3,2,2] => [[1,2,7,11,16,17],[3,4,10,15],[5,6,14],[8,9],[12,13]]
[6,4,3,2,1,1] => [[1,4,7,11,16,17],[2,6,10,15],[3,9,14],[5,13],[8],[12]]
[6,4,3,1,1,1,1] => [[1,6,7,11,16,17],[2,9,10,15],[3,13,14],[4],[5],[8],[12]]
[6,4,2,2,2,1] => [[1,3,10,11,16,17],[2,5,14,15],[4,7],[6,9],[8,13],[12]]
[6,4,2,2,1,1,1] => [[1,5,10,11,16,17],[2,7,14,15],[3,9],[4,13],[6],[8],[12]]
[6,4,2,1,1,1,1,1] => [[1,7,10,11,16,17],[2,9,14,15],[3,13],[4],[5],[6],[8],[12]]
[6,4,1,1,1,1,1,1,1] => [[1,9,10,11,16,17],[2,13,14,15],[3],[4],[5],[6],[7],[8],[12]]
[6,3,3,3,2] => [[1,2,5,15,16,17],[3,4,8],[6,7,11],[9,10,14],[12,13]]
[6,3,3,3,1,1] => [[1,4,5,15,16,17],[2,7,8],[3,10,11],[6,13,14],[9],[12]]
[6,3,3,2,2,1] => [[1,3,8,15,16,17],[2,5,11],[4,7,14],[6,10],[9,13],[12]]
[6,3,3,2,1,1,1] => [[1,5,8,15,16,17],[2,7,11],[3,10,14],[4,13],[6],[9],[12]]
[6,3,3,1,1,1,1,1] => [[1,7,8,15,16,17],[2,10,11],[3,13,14],[4],[5],[6],[9],[12]]
[6,3,2,2,2,2] => [[1,2,11,15,16,17],[3,4,14],[5,6],[7,8],[9,10],[12,13]]
[6,3,2,2,2,1,1] => [[1,4,11,15,16,17],[2,6,14],[3,8],[5,10],[7,13],[9],[12]]
[6,3,2,2,1,1,1,1] => [[1,6,11,15,16,17],[2,8,14],[3,10],[4,13],[5],[7],[9],[12]]
[6,3,2,1,1,1,1,1,1] => [[1,8,11,15,16,17],[2,10,14],[3,13],[4],[5],[6],[7],[9],[12]]
[6,3,1,1,1,1,1,1,1,1] => [[1,10,11,15,16,17],[2,13,14],[3],[4],[5],[6],[7],[8],[9],[12]]
[6,2,2,2,2,2,1] => [[1,3,14,15,16,17],[2,5],[4,7],[6,9],[8,11],[10,13],[12]]
[6,2,2,2,2,1,1,1] => [[1,5,14,15,16,17],[2,7],[3,9],[4,11],[6,13],[8],[10],[12]]
[6,2,2,2,1,1,1,1,1] => [[1,7,14,15,16,17],[2,9],[3,11],[4,13],[5],[6],[8],[10],[12]]
[6,2,2,1,1,1,1,1,1,1] => [[1,9,14,15,16,17],[2,11],[3,13],[4],[5],[6],[7],[8],[10],[12]]
[6,2,1,1,1,1,1,1,1,1,1] => [[1,11,14,15,16,17],[2,13],[3],[4],[5],[6],[7],[8],[9],[10],[12]]
[6,1,1,1,1,1,1,1,1,1,1,1] => [[1,13,14,15,16,17],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]
[5,5,5,2] => [[1,2,5,6,7],[3,4,10,11,12],[8,9,15,16,17],[13,14]]
[5,5,5,1,1] => [[1,4,5,6,7],[2,9,10,11,12],[3,14,15,16,17],[8],[13]]
[5,5,4,3] => [[1,2,3,7,12],[4,5,6,11,17],[8,9,10,16],[13,14,15]]
[5,5,4,2,1] => [[1,3,6,7,12],[2,5,10,11,17],[4,9,15,16],[8,14],[13]]
[5,5,4,1,1,1] => [[1,5,6,7,12],[2,9,10,11,17],[3,14,15,16],[4],[8],[13]]
[5,5,3,3,1] => [[1,3,4,11,12],[2,6,7,16,17],[5,9,10],[8,14,15],[13]]
[5,5,3,2,2] => [[1,2,7,11,12],[3,4,10,16,17],[5,6,15],[8,9],[13,14]]
[5,5,3,2,1,1] => [[1,4,7,11,12],[2,6,10,16,17],[3,9,15],[5,14],[8],[13]]
[5,5,3,1,1,1,1] => [[1,6,7,11,12],[2,9,10,16,17],[3,14,15],[4],[5],[8],[13]]
[5,5,2,2,2,1] => [[1,3,10,11,12],[2,5,15,16,17],[4,7],[6,9],[8,14],[13]]
[5,5,2,2,1,1,1] => [[1,5,10,11,12],[2,7,15,16,17],[3,9],[4,14],[6],[8],[13]]
[5,5,2,1,1,1,1,1] => [[1,7,10,11,12],[2,9,15,16,17],[3,14],[4],[5],[6],[8],[13]]
[5,5,1,1,1,1,1,1,1] => [[1,9,10,11,12],[2,14,15,16,17],[3],[4],[5],[6],[7],[8],[13]]
[5,4,4,4] => [[1,2,3,4,17],[5,6,7,8],[9,10,11,12],[13,14,15,16]]
[5,4,4,3,1] => [[1,3,4,8,17],[2,6,7,12],[5,10,11,16],[9,14,15],[13]]
[5,4,4,2,2] => [[1,2,7,8,17],[3,4,11,12],[5,6,15,16],[9,10],[13,14]]
[5,4,4,2,1,1] => [[1,4,7,8,17],[2,6,11,12],[3,10,15,16],[5,14],[9],[13]]
[5,4,4,1,1,1,1] => [[1,6,7,8,17],[2,10,11,12],[3,14,15,16],[4],[5],[9],[13]]
[5,4,3,3,2] => [[1,2,5,12,17],[3,4,8,16],[6,7,11],[9,10,15],[13,14]]
[5,4,3,3,1,1] => [[1,4,5,12,17],[2,7,8,16],[3,10,11],[6,14,15],[9],[13]]
[5,4,3,2,2,1] => [[1,3,8,12,17],[2,5,11,16],[4,7,15],[6,10],[9,14],[13]]
[5,4,3,2,1,1,1] => [[1,5,8,12,17],[2,7,11,16],[3,10,15],[4,14],[6],[9],[13]]
[5,4,3,1,1,1,1,1] => [[1,7,8,12,17],[2,10,11,16],[3,14,15],[4],[5],[6],[9],[13]]
[5,4,2,2,2,2] => [[1,2,11,12,17],[3,4,15,16],[5,6],[7,8],[9,10],[13,14]]
[5,4,2,2,2,1,1] => [[1,4,11,12,17],[2,6,15,16],[3,8],[5,10],[7,14],[9],[13]]
[5,4,2,2,1,1,1,1] => [[1,6,11,12,17],[2,8,15,16],[3,10],[4,14],[5],[7],[9],[13]]
[5,4,2,1,1,1,1,1,1] => [[1,8,11,12,17],[2,10,15,16],[3,14],[4],[5],[6],[7],[9],[13]]
[5,4,1,1,1,1,1,1,1,1] => [[1,10,11,12,17],[2,14,15,16],[3],[4],[5],[6],[7],[8],[9],[13]]
[5,3,3,3,3] => [[1,2,3,16,17],[4,5,6],[7,8,9],[10,11,12],[13,14,15]]
[5,3,3,3,2,1] => [[1,3,6,16,17],[2,5,9],[4,8,12],[7,11,15],[10,14],[13]]
[5,3,3,3,1,1,1] => [[1,5,6,16,17],[2,8,9],[3,11,12],[4,14,15],[7],[10],[13]]
[5,3,3,2,2,2] => [[1,2,9,16,17],[3,4,12],[5,6,15],[7,8],[10,11],[13,14]]
[5,3,3,2,2,1,1] => [[1,4,9,16,17],[2,6,12],[3,8,15],[5,11],[7,14],[10],[13]]
[5,3,3,2,1,1,1,1] => [[1,6,9,16,17],[2,8,12],[3,11,15],[4,14],[5],[7],[10],[13]]
[5,3,3,1,1,1,1,1,1] => [[1,8,9,16,17],[2,11,12],[3,14,15],[4],[5],[6],[7],[10],[13]]
[5,3,2,2,2,2,1] => [[1,3,12,16,17],[2,5,15],[4,7],[6,9],[8,11],[10,14],[13]]
[5,3,2,2,2,1,1,1] => [[1,5,12,16,17],[2,7,15],[3,9],[4,11],[6,14],[8],[10],[13]]
[5,3,2,2,1,1,1,1,1] => [[1,7,12,16,17],[2,9,15],[3,11],[4,14],[5],[6],[8],[10],[13]]
[5,3,2,1,1,1,1,1,1,1] => [[1,9,12,16,17],[2,11,15],[3,14],[4],[5],[6],[7],[8],[10],[13]]
[5,3,1,1,1,1,1,1,1,1,1] => [[1,11,12,16,17],[2,14,15],[3],[4],[5],[6],[7],[8],[9],[10],[13]]
[5,2,2,2,2,2,2] => [[1,2,15,16,17],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]]
[5,2,2,2,2,2,1,1] => [[1,4,15,16,17],[2,6],[3,8],[5,10],[7,12],[9,14],[11],[13]]
[5,2,2,2,2,1,1,1,1] => [[1,6,15,16,17],[2,8],[3,10],[4,12],[5,14],[7],[9],[11],[13]]
[5,2,2,2,1,1,1,1,1,1] => [[1,8,15,16,17],[2,10],[3,12],[4,14],[5],[6],[7],[9],[11],[13]]
[5,2,2,1,1,1,1,1,1,1,1] => [[1,10,15,16,17],[2,12],[3,14],[4],[5],[6],[7],[8],[9],[11],[13]]
[5,2,1,1,1,1,1,1,1,1,1,1] => [[1,12,15,16,17],[2,14],[3],[4],[5],[6],[7],[8],[9],[10],[11],[13]]
[5,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,14,15,16,17],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13]]
[4,4,4,4,1] => [[1,3,4,5],[2,7,8,9],[6,11,12,13],[10,15,16,17],[14]]
[4,4,4,3,2] => [[1,2,5,9],[3,4,8,13],[6,7,12,17],[10,11,16],[14,15]]
[4,4,4,3,1,1] => [[1,4,5,9],[2,7,8,13],[3,11,12,17],[6,15,16],[10],[14]]
[4,4,4,2,2,1] => [[1,3,8,9],[2,5,12,13],[4,7,16,17],[6,11],[10,15],[14]]
[4,4,4,2,1,1,1] => [[1,5,8,9],[2,7,12,13],[3,11,16,17],[4,15],[6],[10],[14]]
[4,4,4,1,1,1,1,1] => [[1,7,8,9],[2,11,12,13],[3,15,16,17],[4],[5],[6],[10],[14]]
[4,4,3,3,3] => [[1,2,3,13],[4,5,6,17],[7,8,9],[10,11,12],[14,15,16]]
[4,4,3,3,2,1] => [[1,3,6,13],[2,5,9,17],[4,8,12],[7,11,16],[10,15],[14]]
[4,4,3,3,1,1,1] => [[1,5,6,13],[2,8,9,17],[3,11,12],[4,15,16],[7],[10],[14]]
[4,4,3,2,2,2] => [[1,2,9,13],[3,4,12,17],[5,6,16],[7,8],[10,11],[14,15]]
[4,4,3,2,2,1,1] => [[1,4,9,13],[2,6,12,17],[3,8,16],[5,11],[7,15],[10],[14]]
[4,4,3,2,1,1,1,1] => [[1,6,9,13],[2,8,12,17],[3,11,16],[4,15],[5],[7],[10],[14]]
[4,4,3,1,1,1,1,1,1] => [[1,8,9,13],[2,11,12,17],[3,15,16],[4],[5],[6],[7],[10],[14]]
[4,4,2,2,2,2,1] => [[1,3,12,13],[2,5,16,17],[4,7],[6,9],[8,11],[10,15],[14]]
[4,4,2,2,2,1,1,1] => [[1,5,12,13],[2,7,16,17],[3,9],[4,11],[6,15],[8],[10],[14]]
[4,4,2,2,1,1,1,1,1] => [[1,7,12,13],[2,9,16,17],[3,11],[4,15],[5],[6],[8],[10],[14]]
[4,4,2,1,1,1,1,1,1,1] => [[1,9,12,13],[2,11,16,17],[3,15],[4],[5],[6],[7],[8],[10],[14]]
[4,4,1,1,1,1,1,1,1,1,1] => [[1,11,12,13],[2,15,16,17],[3],[4],[5],[6],[7],[8],[9],[10],[14]]
[4,3,3,3,3,1] => [[1,3,4,17],[2,6,7],[5,9,10],[8,12,13],[11,15,16],[14]]
[4,3,3,3,2,2] => [[1,2,7,17],[3,4,10],[5,6,13],[8,9,16],[11,12],[14,15]]
[4,3,3,3,2,1,1] => [[1,4,7,17],[2,6,10],[3,9,13],[5,12,16],[8,15],[11],[14]]
[4,3,3,3,1,1,1,1] => [[1,6,7,17],[2,9,10],[3,12,13],[4,15,16],[5],[8],[11],[14]]
[4,3,3,2,2,2,1] => [[1,3,10,17],[2,5,13],[4,7,16],[6,9],[8,12],[11,15],[14]]
[4,3,3,2,2,1,1,1] => [[1,5,10,17],[2,7,13],[3,9,16],[4,12],[6,15],[8],[11],[14]]
[4,3,3,2,1,1,1,1,1] => [[1,7,10,17],[2,9,13],[3,12,16],[4,15],[5],[6],[8],[11],[14]]
[4,3,3,1,1,1,1,1,1,1] => [[1,9,10,17],[2,12,13],[3,15,16],[4],[5],[6],[7],[8],[11],[14]]
[4,3,2,2,2,2,2] => [[1,2,13,17],[3,4,16],[5,6],[7,8],[9,10],[11,12],[14,15]]
[4,3,2,2,2,2,1,1] => [[1,4,13,17],[2,6,16],[3,8],[5,10],[7,12],[9,15],[11],[14]]
[4,3,2,2,2,1,1,1,1] => [[1,6,13,17],[2,8,16],[3,10],[4,12],[5,15],[7],[9],[11],[14]]
[4,3,2,2,1,1,1,1,1,1] => [[1,8,13,17],[2,10,16],[3,12],[4,15],[5],[6],[7],[9],[11],[14]]
[4,3,2,1,1,1,1,1,1,1,1] => [[1,10,13,17],[2,12,16],[3,15],[4],[5],[6],[7],[8],[9],[11],[14]]
[4,3,1,1,1,1,1,1,1,1,1,1] => [[1,12,13,17],[2,15,16],[3],[4],[5],[6],[7],[8],[9],[10],[11],[14]]
[4,2,2,2,2,2,2,1] => [[1,3,16,17],[2,5],[4,7],[6,9],[8,11],[10,13],[12,15],[14]]
[4,2,2,2,2,2,1,1,1] => [[1,5,16,17],[2,7],[3,9],[4,11],[6,13],[8,15],[10],[12],[14]]
[4,2,2,2,2,1,1,1,1,1] => [[1,7,16,17],[2,9],[3,11],[4,13],[5,15],[6],[8],[10],[12],[14]]
[4,2,2,2,1,1,1,1,1,1,1] => [[1,9,16,17],[2,11],[3,13],[4,15],[5],[6],[7],[8],[10],[12],[14]]
[4,2,2,1,1,1,1,1,1,1,1,1] => [[1,11,16,17],[2,13],[3,15],[4],[5],[6],[7],[8],[9],[10],[12],[14]]
[4,2,1,1,1,1,1,1,1,1,1,1,1] => [[1,13,16,17],[2,15],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[14]]
[4,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,15,16,17],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[13],[14]]
[3,3,3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10,14],[12,13,17],[15,16]]
[3,3,3,3,3,1,1] => [[1,4,5],[2,7,8],[3,10,11],[6,13,14],[9,16,17],[12],[15]]
[3,3,3,3,2,2,1] => [[1,3,8],[2,5,11],[4,7,14],[6,10,17],[9,13],[12,16],[15]]
[3,3,3,3,2,1,1,1] => [[1,5,8],[2,7,11],[3,10,14],[4,13,17],[6,16],[9],[12],[15]]
[3,3,3,3,1,1,1,1,1] => [[1,7,8],[2,10,11],[3,13,14],[4,16,17],[5],[6],[9],[12],[15]]
[3,3,3,2,2,2,2] => [[1,2,11],[3,4,14],[5,6,17],[7,8],[9,10],[12,13],[15,16]]
[3,3,3,2,2,2,1,1] => [[1,4,11],[2,6,14],[3,8,17],[5,10],[7,13],[9,16],[12],[15]]
[3,3,3,2,2,1,1,1,1] => [[1,6,11],[2,8,14],[3,10,17],[4,13],[5,16],[7],[9],[12],[15]]
[3,3,3,2,1,1,1,1,1,1] => [[1,8,11],[2,10,14],[3,13,17],[4,16],[5],[6],[7],[9],[12],[15]]
[3,3,3,1,1,1,1,1,1,1,1] => [[1,10,11],[2,13,14],[3,16,17],[4],[5],[6],[7],[8],[9],[12],[15]]
[3,3,2,2,2,2,2,1] => [[1,3,14],[2,5,17],[4,7],[6,9],[8,11],[10,13],[12,16],[15]]
[3,3,2,2,2,2,1,1,1] => [[1,5,14],[2,7,17],[3,9],[4,11],[6,13],[8,16],[10],[12],[15]]
[3,3,2,2,2,1,1,1,1,1] => [[1,7,14],[2,9,17],[3,11],[4,13],[5,16],[6],[8],[10],[12],[15]]
[3,3,2,2,1,1,1,1,1,1,1] => [[1,9,14],[2,11,17],[3,13],[4,16],[5],[6],[7],[8],[10],[12],[15]]
[3,3,2,1,1,1,1,1,1,1,1,1] => [[1,11,14],[2,13,17],[3,16],[4],[5],[6],[7],[8],[9],[10],[12],[15]]
[3,3,1,1,1,1,1,1,1,1,1,1,1] => [[1,13,14],[2,16,17],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12],[15]]
[3,2,2,2,2,2,2,2] => [[1,2,17],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]]
[3,2,2,2,2,2,2,1,1] => [[1,4,17],[2,6],[3,8],[5,10],[7,12],[9,14],[11,16],[13],[15]]
[3,2,2,2,2,2,1,1,1,1] => [[1,6,17],[2,8],[3,10],[4,12],[5,14],[7,16],[9],[11],[13],[15]]
[3,2,2,2,2,1,1,1,1,1,1] => [[1,8,17],[2,10],[3,12],[4,14],[5,16],[6],[7],[9],[11],[13],[15]]
[3,2,2,2,1,1,1,1,1,1,1,1] => [[1,10,17],[2,12],[3,14],[4,16],[5],[6],[7],[8],[9],[11],[13],[15]]
[3,2,2,1,1,1,1,1,1,1,1,1,1] => [[1,12,17],[2,14],[3,16],[4],[5],[6],[7],[8],[9],[10],[11],[13],[15]]
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Created: Jan 19, 2020 at 07:27 by FindStatCrew
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Last Updated: Jan 19, 2020 at 07:27 by Martin Rubey