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------------------------------------------------------------------------
Map identifier: Mp00150

------------------------------------------------------------------------
Map name: to Dyck path

------------------------------------------------------------------------
Domain: Perfect matchings

------------------------------------------------------------------------
Codomain: Dyck paths

------------------------------------------------------------------------
Description: The Dyck path corresponding to the opener-closer sequence of the perfect matching.

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

------------------------------------------------------------------------
Code:

def mapping(m):
    n = m.size()
    return DyckWord([1 if m.partner(i) > i else 0 for i in range(1,n+1)])

------------------------------------------------------------------------
Map images:

[(1,2)]                                  => [1,0]
[(1,2),(3,4)]                            => [1,0,1,0]
[(1,3),(2,4)]                            => [1,1,0,0]
[(1,4),(2,3)]                            => [1,1,0,0]
[(1,2),(3,4),(5,6)]                      => [1,0,1,0,1,0]
[(1,3),(2,4),(5,6)]                      => [1,1,0,0,1,0]
[(1,4),(2,3),(5,6)]                      => [1,1,0,0,1,0]
[(1,5),(2,3),(4,6)]                      => [1,1,0,1,0,0]
[(1,6),(2,3),(4,5)]                      => [1,1,0,1,0,0]
[(1,6),(2,4),(3,5)]                      => [1,1,1,0,0,0]
[(1,5),(2,4),(3,6)]                      => [1,1,1,0,0,0]
[(1,4),(2,5),(3,6)]                      => [1,1,1,0,0,0]
[(1,3),(2,5),(4,6)]                      => [1,1,0,1,0,0]
[(1,2),(3,5),(4,6)]                      => [1,0,1,1,0,0]
[(1,2),(3,6),(4,5)]                      => [1,0,1,1,0,0]
[(1,3),(2,6),(4,5)]                      => [1,1,0,1,0,0]
[(1,4),(2,6),(3,5)]                      => [1,1,1,0,0,0]
[(1,5),(2,6),(3,4)]                      => [1,1,1,0,0,0]
[(1,6),(2,5),(3,4)]                      => [1,1,1,0,0,0]
[(1,2),(3,4),(5,6),(7,8)]                => [1,0,1,0,1,0,1,0]
[(1,3),(2,4),(5,6),(7,8)]                => [1,1,0,0,1,0,1,0]
[(1,4),(2,3),(5,6),(7,8)]                => [1,1,0,0,1,0,1,0]
[(1,5),(2,3),(4,6),(7,8)]                => [1,1,0,1,0,0,1,0]
[(1,6),(2,3),(4,5),(7,8)]                => [1,1,0,1,0,0,1,0]
[(1,7),(2,3),(4,5),(6,8)]                => [1,1,0,1,0,1,0,0]
[(1,8),(2,3),(4,5),(6,7)]                => [1,1,0,1,0,1,0,0]
[(1,8),(2,4),(3,5),(6,7)]                => [1,1,1,0,0,1,0,0]
[(1,7),(2,4),(3,5),(6,8)]                => [1,1,1,0,0,1,0,0]
[(1,6),(2,4),(3,5),(7,8)]                => [1,1,1,0,0,0,1,0]
[(1,5),(2,4),(3,6),(7,8)]                => [1,1,1,0,0,0,1,0]
[(1,4),(2,5),(3,6),(7,8)]                => [1,1,1,0,0,0,1,0]
[(1,3),(2,5),(4,6),(7,8)]                => [1,1,0,1,0,0,1,0]
[(1,2),(3,5),(4,6),(7,8)]                => [1,0,1,1,0,0,1,0]
[(1,2),(3,6),(4,5),(7,8)]                => [1,0,1,1,0,0,1,0]
[(1,3),(2,6),(4,5),(7,8)]                => [1,1,0,1,0,0,1,0]
[(1,4),(2,6),(3,5),(7,8)]                => [1,1,1,0,0,0,1,0]
[(1,5),(2,6),(3,4),(7,8)]                => [1,1,1,0,0,0,1,0]
[(1,6),(2,5),(3,4),(7,8)]                => [1,1,1,0,0,0,1,0]
[(1,7),(2,5),(3,4),(6,8)]                => [1,1,1,0,0,1,0,0]
[(1,8),(2,5),(3,4),(6,7)]                => [1,1,1,0,0,1,0,0]
[(1,8),(2,6),(3,4),(5,7)]                => [1,1,1,0,1,0,0,0]
[(1,7),(2,6),(3,4),(5,8)]                => [1,1,1,0,1,0,0,0]
[(1,6),(2,7),(3,4),(5,8)]                => [1,1,1,0,1,0,0,0]
[(1,5),(2,7),(3,4),(6,8)]                => [1,1,1,0,0,1,0,0]
[(1,4),(2,7),(3,5),(6,8)]                => [1,1,1,0,0,1,0,0]
[(1,3),(2,7),(4,5),(6,8)]                => [1,1,0,1,0,1,0,0]
[(1,2),(3,7),(4,5),(6,8)]                => [1,0,1,1,0,1,0,0]
[(1,2),(3,8),(4,5),(6,7)]                => [1,0,1,1,0,1,0,0]
[(1,3),(2,8),(4,5),(6,7)]                => [1,1,0,1,0,1,0,0]
[(1,4),(2,8),(3,5),(6,7)]                => [1,1,1,0,0,1,0,0]
[(1,5),(2,8),(3,4),(6,7)]                => [1,1,1,0,0,1,0,0]
[(1,6),(2,8),(3,4),(5,7)]                => [1,1,1,0,1,0,0,0]
[(1,7),(2,8),(3,4),(5,6)]                => [1,1,1,0,1,0,0,0]
[(1,8),(2,7),(3,4),(5,6)]                => [1,1,1,0,1,0,0,0]
[(1,8),(2,7),(3,5),(4,6)]                => [1,1,1,1,0,0,0,0]
[(1,7),(2,8),(3,5),(4,6)]                => [1,1,1,1,0,0,0,0]
[(1,6),(2,8),(3,5),(4,7)]                => [1,1,1,1,0,0,0,0]
[(1,5),(2,8),(3,6),(4,7)]                => [1,1,1,1,0,0,0,0]
[(1,4),(2,8),(3,6),(5,7)]                => [1,1,1,0,1,0,0,0]
[(1,3),(2,8),(4,6),(5,7)]                => [1,1,0,1,1,0,0,0]
[(1,2),(3,8),(4,6),(5,7)]                => [1,0,1,1,1,0,0,0]
[(1,2),(3,7),(4,6),(5,8)]                => [1,0,1,1,1,0,0,0]
[(1,3),(2,7),(4,6),(5,8)]                => [1,1,0,1,1,0,0,0]
[(1,4),(2,7),(3,6),(5,8)]                => [1,1,1,0,1,0,0,0]
[(1,5),(2,7),(3,6),(4,8)]                => [1,1,1,1,0,0,0,0]
[(1,6),(2,7),(3,5),(4,8)]                => [1,1,1,1,0,0,0,0]
[(1,7),(2,6),(3,5),(4,8)]                => [1,1,1,1,0,0,0,0]
[(1,8),(2,6),(3,5),(4,7)]                => [1,1,1,1,0,0,0,0]
[(1,8),(2,5),(3,6),(4,7)]                => [1,1,1,1,0,0,0,0]
[(1,7),(2,5),(3,6),(4,8)]                => [1,1,1,1,0,0,0,0]
[(1,6),(2,5),(3,7),(4,8)]                => [1,1,1,1,0,0,0,0]
[(1,5),(2,6),(3,7),(4,8)]                => [1,1,1,1,0,0,0,0]
[(1,4),(2,6),(3,7),(5,8)]                => [1,1,1,0,1,0,0,0]
[(1,3),(2,6),(4,7),(5,8)]                => [1,1,0,1,1,0,0,0]
[(1,2),(3,6),(4,7),(5,8)]                => [1,0,1,1,1,0,0,0]
[(1,2),(3,5),(4,7),(6,8)]                => [1,0,1,1,0,1,0,0]
[(1,3),(2,5),(4,7),(6,8)]                => [1,1,0,1,0,1,0,0]
[(1,4),(2,5),(3,7),(6,8)]                => [1,1,1,0,0,1,0,0]
[(1,5),(2,4),(3,7),(6,8)]                => [1,1,1,0,0,1,0,0]
[(1,6),(2,4),(3,7),(5,8)]                => [1,1,1,0,1,0,0,0]
[(1,7),(2,4),(3,6),(5,8)]                => [1,1,1,0,1,0,0,0]
[(1,8),(2,4),(3,6),(5,7)]                => [1,1,1,0,1,0,0,0]
[(1,8),(2,3),(4,6),(5,7)]                => [1,1,0,1,1,0,0,0]
[(1,7),(2,3),(4,6),(5,8)]                => [1,1,0,1,1,0,0,0]
[(1,6),(2,3),(4,7),(5,8)]                => [1,1,0,1,1,0,0,0]
[(1,5),(2,3),(4,7),(6,8)]                => [1,1,0,1,0,1,0,0]
[(1,4),(2,3),(5,7),(6,8)]                => [1,1,0,0,1,1,0,0]
[(1,3),(2,4),(5,7),(6,8)]                => [1,1,0,0,1,1,0,0]
[(1,2),(3,4),(5,7),(6,8)]                => [1,0,1,0,1,1,0,0]
[(1,2),(3,4),(5,8),(6,7)]                => [1,0,1,0,1,1,0,0]
[(1,3),(2,4),(5,8),(6,7)]                => [1,1,0,0,1,1,0,0]
[(1,4),(2,3),(5,8),(6,7)]                => [1,1,0,0,1,1,0,0]
[(1,5),(2,3),(4,8),(6,7)]                => [1,1,0,1,0,1,0,0]
[(1,6),(2,3),(4,8),(5,7)]                => [1,1,0,1,1,0,0,0]
[(1,7),(2,3),(4,8),(5,6)]                => [1,1,0,1,1,0,0,0]
[(1,8),(2,3),(4,7),(5,6)]                => [1,1,0,1,1,0,0,0]
[(1,8),(2,4),(3,7),(5,6)]                => [1,1,1,0,1,0,0,0]
[(1,7),(2,4),(3,8),(5,6)]                => [1,1,1,0,1,0,0,0]
[(1,6),(2,4),(3,8),(5,7)]                => [1,1,1,0,1,0,0,0]
[(1,5),(2,4),(3,8),(6,7)]                => [1,1,1,0,0,1,0,0]
[(1,4),(2,5),(3,8),(6,7)]                => [1,1,1,0,0,1,0,0]
[(1,3),(2,5),(4,8),(6,7)]                => [1,1,0,1,0,1,0,0]
[(1,2),(3,5),(4,8),(6,7)]                => [1,0,1,1,0,1,0,0]
[(1,2),(3,6),(4,8),(5,7)]                => [1,0,1,1,1,0,0,0]
[(1,3),(2,6),(4,8),(5,7)]                => [1,1,0,1,1,0,0,0]
[(1,4),(2,6),(3,8),(5,7)]                => [1,1,1,0,1,0,0,0]
[(1,5),(2,6),(3,8),(4,7)]                => [1,1,1,1,0,0,0,0]
[(1,6),(2,5),(3,8),(4,7)]                => [1,1,1,1,0,0,0,0]
[(1,7),(2,5),(3,8),(4,6)]                => [1,1,1,1,0,0,0,0]
[(1,8),(2,5),(3,7),(4,6)]                => [1,1,1,1,0,0,0,0]
[(1,8),(2,6),(3,7),(4,5)]                => [1,1,1,1,0,0,0,0]
[(1,7),(2,6),(3,8),(4,5)]                => [1,1,1,1,0,0,0,0]
[(1,6),(2,7),(3,8),(4,5)]                => [1,1,1,1,0,0,0,0]
[(1,5),(2,7),(3,8),(4,6)]                => [1,1,1,1,0,0,0,0]
[(1,4),(2,7),(3,8),(5,6)]                => [1,1,1,0,1,0,0,0]
[(1,3),(2,7),(4,8),(5,6)]                => [1,1,0,1,1,0,0,0]
[(1,2),(3,7),(4,8),(5,6)]                => [1,0,1,1,1,0,0,0]
[(1,2),(3,8),(4,7),(5,6)]                => [1,0,1,1,1,0,0,0]
[(1,3),(2,8),(4,7),(5,6)]                => [1,1,0,1,1,0,0,0]
[(1,4),(2,8),(3,7),(5,6)]                => [1,1,1,0,1,0,0,0]
[(1,5),(2,8),(3,7),(4,6)]                => [1,1,1,1,0,0,0,0]
[(1,6),(2,8),(3,7),(4,5)]                => [1,1,1,1,0,0,0,0]
[(1,7),(2,8),(3,6),(4,5)]                => [1,1,1,1,0,0,0,0]
[(1,8),(2,7),(3,6),(4,5)]                => [1,1,1,1,0,0,0,0]
[(1,2),(3,4),(5,6),(7,8),(9,10)]         => [1,0,1,0,1,0,1,0,1,0]
[(1,3),(2,4),(5,6),(7,8),(9,10)]         => [1,1,0,0,1,0,1,0,1,0]
[(1,4),(2,3),(5,6),(7,8),(9,10)]         => [1,1,0,0,1,0,1,0,1,0]
[(1,5),(2,3),(4,6),(7,8),(9,10)]         => [1,1,0,1,0,0,1,0,1,0]
[(1,6),(2,3),(4,5),(7,8),(9,10)]         => [1,1,0,1,0,0,1,0,1,0]
[(1,7),(2,3),(4,5),(6,8),(9,10)]         => [1,1,0,1,0,1,0,0,1,0]
[(1,8),(2,3),(4,5),(6,7),(9,10)]         => [1,1,0,1,0,1,0,0,1,0]
[(1,9),(2,3),(4,5),(6,7),(8,10)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,10),(2,3),(4,5),(6,7),(8,9)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,10),(2,4),(3,5),(6,7),(8,9)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,9),(2,4),(3,5),(6,7),(8,10)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,8),(2,4),(3,5),(6,7),(9,10)]         => [1,1,1,0,0,1,0,0,1,0]
[(1,7),(2,4),(3,5),(6,8),(9,10)]         => [1,1,1,0,0,1,0,0,1,0]
[(1,6),(2,4),(3,5),(7,8),(9,10)]         => [1,1,1,0,0,0,1,0,1,0]
[(1,5),(2,4),(3,6),(7,8),(9,10)]         => [1,1,1,0,0,0,1,0,1,0]
[(1,4),(2,5),(3,6),(7,8),(9,10)]         => [1,1,1,0,0,0,1,0,1,0]
[(1,3),(2,5),(4,6),(7,8),(9,10)]         => [1,1,0,1,0,0,1,0,1,0]
[(1,2),(3,5),(4,6),(7,8),(9,10)]         => [1,0,1,1,0,0,1,0,1,0]
[(1,2),(3,6),(4,5),(7,8),(9,10)]         => [1,0,1,1,0,0,1,0,1,0]
[(1,3),(2,6),(4,5),(7,8),(9,10)]         => [1,1,0,1,0,0,1,0,1,0]
[(1,4),(2,6),(3,5),(7,8),(9,10)]         => [1,1,1,0,0,0,1,0,1,0]
[(1,5),(2,6),(3,4),(7,8),(9,10)]         => [1,1,1,0,0,0,1,0,1,0]
[(1,6),(2,5),(3,4),(7,8),(9,10)]         => [1,1,1,0,0,0,1,0,1,0]
[(1,7),(2,5),(3,4),(6,8),(9,10)]         => [1,1,1,0,0,1,0,0,1,0]
[(1,8),(2,5),(3,4),(6,7),(9,10)]         => [1,1,1,0,0,1,0,0,1,0]
[(1,9),(2,5),(3,4),(6,7),(8,10)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,10),(2,5),(3,4),(6,7),(8,9)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,10),(2,6),(3,4),(5,7),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,9),(2,6),(3,4),(5,7),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,8),(2,6),(3,4),(5,7),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,7),(2,6),(3,4),(5,8),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,6),(2,7),(3,4),(5,8),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,5),(2,7),(3,4),(6,8),(9,10)]         => [1,1,1,0,0,1,0,0,1,0]
[(1,4),(2,7),(3,5),(6,8),(9,10)]         => [1,1,1,0,0,1,0,0,1,0]
[(1,3),(2,7),(4,5),(6,8),(9,10)]         => [1,1,0,1,0,1,0,0,1,0]
[(1,2),(3,7),(4,5),(6,8),(9,10)]         => [1,0,1,1,0,1,0,0,1,0]
[(1,2),(3,8),(4,5),(6,7),(9,10)]         => [1,0,1,1,0,1,0,0,1,0]
[(1,3),(2,8),(4,5),(6,7),(9,10)]         => [1,1,0,1,0,1,0,0,1,0]
[(1,4),(2,8),(3,5),(6,7),(9,10)]         => [1,1,1,0,0,1,0,0,1,0]
[(1,5),(2,8),(3,4),(6,7),(9,10)]         => [1,1,1,0,0,1,0,0,1,0]
[(1,6),(2,8),(3,4),(5,7),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,7),(2,8),(3,4),(5,6),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,8),(2,7),(3,4),(5,6),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,9),(2,7),(3,4),(5,6),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,10),(2,7),(3,4),(5,6),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,10),(2,8),(3,4),(5,6),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,8),(3,4),(5,6),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,8),(2,9),(3,4),(5,6),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,9),(3,4),(5,6),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,6),(2,9),(3,4),(5,7),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,9),(3,4),(6,7),(8,10)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,4),(2,9),(3,5),(6,7),(8,10)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,3),(2,9),(4,5),(6,7),(8,10)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,2),(3,9),(4,5),(6,7),(8,10)]         => [1,0,1,1,0,1,0,1,0,0]
[(1,2),(3,10),(4,5),(6,7),(8,9)]         => [1,0,1,1,0,1,0,1,0,0]
[(1,3),(2,10),(4,5),(6,7),(8,9)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,4),(2,10),(3,5),(6,7),(8,9)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,5),(2,10),(3,4),(6,7),(8,9)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,6),(2,10),(3,4),(5,7),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,7),(2,10),(3,4),(5,6),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,8),(2,10),(3,4),(5,6),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,10),(3,4),(5,6),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,9),(3,4),(5,6),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,9),(3,5),(4,6),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,10),(3,5),(4,6),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,10),(3,5),(4,6),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,10),(3,5),(4,6),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,10),(3,5),(4,7),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,5),(2,10),(3,6),(4,7),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,10),(3,6),(5,7),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,3),(2,10),(4,6),(5,7),(8,9)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,2),(3,10),(4,6),(5,7),(8,9)]         => [1,0,1,1,1,0,0,1,0,0]
[(1,2),(3,9),(4,6),(5,7),(8,10)]         => [1,0,1,1,1,0,0,1,0,0]
[(1,3),(2,9),(4,6),(5,7),(8,10)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,4),(2,9),(3,6),(5,7),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,9),(3,6),(4,7),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,9),(3,5),(4,7),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,7),(2,9),(3,5),(4,6),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,9),(3,5),(4,6),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,8),(3,5),(4,6),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,8),(3,5),(4,6),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,7),(3,5),(4,6),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,9),(2,7),(3,5),(4,6),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,7),(3,5),(4,6),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,7),(2,8),(3,5),(4,6),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,6),(2,8),(3,5),(4,7),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,5),(2,8),(3,6),(4,7),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,4),(2,8),(3,6),(5,7),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,3),(2,8),(4,6),(5,7),(9,10)]         => [1,1,0,1,1,0,0,0,1,0]
[(1,2),(3,8),(4,6),(5,7),(9,10)]         => [1,0,1,1,1,0,0,0,1,0]
[(1,2),(3,7),(4,6),(5,8),(9,10)]         => [1,0,1,1,1,0,0,0,1,0]
[(1,3),(2,7),(4,6),(5,8),(9,10)]         => [1,1,0,1,1,0,0,0,1,0]
[(1,4),(2,7),(3,6),(5,8),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,5),(2,7),(3,6),(4,8),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,6),(2,7),(3,5),(4,8),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,7),(2,6),(3,5),(4,8),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,8),(2,6),(3,5),(4,7),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,9),(2,6),(3,5),(4,7),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,6),(3,5),(4,7),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,5),(3,6),(4,7),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,9),(2,5),(3,6),(4,7),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,5),(3,6),(4,7),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,7),(2,5),(3,6),(4,8),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,6),(2,5),(3,7),(4,8),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,5),(2,6),(3,7),(4,8),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,4),(2,6),(3,7),(5,8),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,3),(2,6),(4,7),(5,8),(9,10)]         => [1,1,0,1,1,0,0,0,1,0]
[(1,2),(3,6),(4,7),(5,8),(9,10)]         => [1,0,1,1,1,0,0,0,1,0]
[(1,2),(3,5),(4,7),(6,8),(9,10)]         => [1,0,1,1,0,1,0,0,1,0]
[(1,3),(2,5),(4,7),(6,8),(9,10)]         => [1,1,0,1,0,1,0,0,1,0]
[(1,4),(2,5),(3,7),(6,8),(9,10)]         => [1,1,1,0,0,1,0,0,1,0]
[(1,5),(2,4),(3,7),(6,8),(9,10)]         => [1,1,1,0,0,1,0,0,1,0]
[(1,6),(2,4),(3,7),(5,8),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,7),(2,4),(3,6),(5,8),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,8),(2,4),(3,6),(5,7),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,9),(2,4),(3,6),(5,7),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,10),(2,4),(3,6),(5,7),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,10),(2,3),(4,6),(5,7),(8,9)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,9),(2,3),(4,6),(5,7),(8,10)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,8),(2,3),(4,6),(5,7),(9,10)]         => [1,1,0,1,1,0,0,0,1,0]
[(1,7),(2,3),(4,6),(5,8),(9,10)]         => [1,1,0,1,1,0,0,0,1,0]
[(1,6),(2,3),(4,7),(5,8),(9,10)]         => [1,1,0,1,1,0,0,0,1,0]
[(1,5),(2,3),(4,7),(6,8),(9,10)]         => [1,1,0,1,0,1,0,0,1,0]
[(1,4),(2,3),(5,7),(6,8),(9,10)]         => [1,1,0,0,1,1,0,0,1,0]
[(1,3),(2,4),(5,7),(6,8),(9,10)]         => [1,1,0,0,1,1,0,0,1,0]
[(1,2),(3,4),(5,7),(6,8),(9,10)]         => [1,0,1,0,1,1,0,0,1,0]
[(1,2),(3,4),(5,8),(6,7),(9,10)]         => [1,0,1,0,1,1,0,0,1,0]
[(1,3),(2,4),(5,8),(6,7),(9,10)]         => [1,1,0,0,1,1,0,0,1,0]
[(1,4),(2,3),(5,8),(6,7),(9,10)]         => [1,1,0,0,1,1,0,0,1,0]
[(1,5),(2,3),(4,8),(6,7),(9,10)]         => [1,1,0,1,0,1,0,0,1,0]
[(1,6),(2,3),(4,8),(5,7),(9,10)]         => [1,1,0,1,1,0,0,0,1,0]
[(1,7),(2,3),(4,8),(5,6),(9,10)]         => [1,1,0,1,1,0,0,0,1,0]
[(1,8),(2,3),(4,7),(5,6),(9,10)]         => [1,1,0,1,1,0,0,0,1,0]
[(1,9),(2,3),(4,7),(5,6),(8,10)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,10),(2,3),(4,7),(5,6),(8,9)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,10),(2,4),(3,7),(5,6),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,9),(2,4),(3,7),(5,6),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,8),(2,4),(3,7),(5,6),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,7),(2,4),(3,8),(5,6),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,6),(2,4),(3,8),(5,7),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,5),(2,4),(3,8),(6,7),(9,10)]         => [1,1,1,0,0,1,0,0,1,0]
[(1,4),(2,5),(3,8),(6,7),(9,10)]         => [1,1,1,0,0,1,0,0,1,0]
[(1,3),(2,5),(4,8),(6,7),(9,10)]         => [1,1,0,1,0,1,0,0,1,0]
[(1,2),(3,5),(4,8),(6,7),(9,10)]         => [1,0,1,1,0,1,0,0,1,0]
[(1,2),(3,6),(4,8),(5,7),(9,10)]         => [1,0,1,1,1,0,0,0,1,0]
[(1,3),(2,6),(4,8),(5,7),(9,10)]         => [1,1,0,1,1,0,0,0,1,0]
[(1,4),(2,6),(3,8),(5,7),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,5),(2,6),(3,8),(4,7),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,6),(2,5),(3,8),(4,7),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,7),(2,5),(3,8),(4,6),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,8),(2,5),(3,7),(4,6),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,9),(2,5),(3,7),(4,6),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,5),(3,7),(4,6),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,6),(3,7),(4,5),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,9),(2,6),(3,7),(4,5),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,6),(3,7),(4,5),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,7),(2,6),(3,8),(4,5),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,6),(2,7),(3,8),(4,5),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,5),(2,7),(3,8),(4,6),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,4),(2,7),(3,8),(5,6),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,3),(2,7),(4,8),(5,6),(9,10)]         => [1,1,0,1,1,0,0,0,1,0]
[(1,2),(3,7),(4,8),(5,6),(9,10)]         => [1,0,1,1,1,0,0,0,1,0]
[(1,2),(3,8),(4,7),(5,6),(9,10)]         => [1,0,1,1,1,0,0,0,1,0]
[(1,3),(2,8),(4,7),(5,6),(9,10)]         => [1,1,0,1,1,0,0,0,1,0]
[(1,4),(2,8),(3,7),(5,6),(9,10)]         => [1,1,1,0,1,0,0,0,1,0]
[(1,5),(2,8),(3,7),(4,6),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,6),(2,8),(3,7),(4,5),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,7),(2,8),(3,6),(4,5),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,8),(2,7),(3,6),(4,5),(9,10)]         => [1,1,1,1,0,0,0,0,1,0]
[(1,9),(2,7),(3,6),(4,5),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,7),(3,6),(4,5),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,8),(3,6),(4,5),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,8),(3,6),(4,5),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,9),(3,6),(4,5),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,9),(3,6),(4,5),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,9),(3,7),(4,5),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,5),(2,9),(3,7),(4,6),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,9),(3,7),(5,6),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,3),(2,9),(4,7),(5,6),(8,10)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,2),(3,9),(4,7),(5,6),(8,10)]         => [1,0,1,1,1,0,0,1,0,0]
[(1,2),(3,10),(4,7),(5,6),(8,9)]         => [1,0,1,1,1,0,0,1,0,0]
[(1,3),(2,10),(4,7),(5,6),(8,9)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,4),(2,10),(3,7),(5,6),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,10),(3,7),(4,6),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,10),(3,7),(4,5),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,7),(2,10),(3,6),(4,5),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,10),(3,6),(4,5),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,10),(3,6),(4,5),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,9),(3,6),(4,5),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,9),(3,7),(4,5),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,10),(3,7),(4,5),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,10),(3,7),(4,5),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,10),(3,8),(4,5),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,10),(3,8),(4,5),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,10),(3,8),(4,6),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,4),(2,10),(3,8),(5,6),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,10),(4,8),(5,6),(7,9)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,2),(3,10),(4,8),(5,6),(7,9)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,2),(3,9),(4,8),(5,6),(7,10)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,3),(2,9),(4,8),(5,6),(7,10)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,4),(2,9),(3,8),(5,6),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,9),(3,8),(4,6),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,9),(3,8),(4,5),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,9),(3,8),(4,5),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,9),(3,7),(4,5),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,8),(3,7),(4,5),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,8),(3,7),(4,5),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,7),(3,8),(4,5),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,7),(3,8),(4,5),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,7),(3,9),(4,5),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,8),(3,9),(4,5),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,8),(3,9),(4,5),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,8),(3,9),(4,6),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,4),(2,8),(3,9),(5,6),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,8),(4,9),(5,6),(7,10)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,2),(3,8),(4,9),(5,6),(7,10)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,2),(3,7),(4,9),(5,6),(8,10)]         => [1,0,1,1,1,0,0,1,0,0]
[(1,3),(2,7),(4,9),(5,6),(8,10)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,4),(2,7),(3,9),(5,6),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,7),(3,9),(4,6),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,7),(3,9),(4,5),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,7),(2,6),(3,9),(4,5),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,6),(3,9),(4,5),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,6),(3,8),(4,5),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,6),(3,8),(4,5),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,5),(3,8),(4,6),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,5),(3,8),(4,6),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,5),(3,9),(4,6),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,5),(3,9),(4,6),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,5),(3,9),(4,7),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,5),(2,6),(3,9),(4,7),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,6),(3,9),(5,7),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,3),(2,6),(4,9),(5,7),(8,10)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,2),(3,6),(4,9),(5,7),(8,10)]         => [1,0,1,1,1,0,0,1,0,0]
[(1,2),(3,5),(4,9),(6,7),(8,10)]         => [1,0,1,1,0,1,0,1,0,0]
[(1,3),(2,5),(4,9),(6,7),(8,10)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,4),(2,5),(3,9),(6,7),(8,10)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,5),(2,4),(3,9),(6,7),(8,10)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,6),(2,4),(3,9),(5,7),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,7),(2,4),(3,9),(5,6),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,8),(2,4),(3,9),(5,6),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,4),(3,8),(5,6),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,4),(3,8),(5,6),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,3),(4,8),(5,6),(7,9)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,9),(2,3),(4,8),(5,6),(7,10)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,8),(2,3),(4,9),(5,6),(7,10)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,7),(2,3),(4,9),(5,6),(8,10)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,6),(2,3),(4,9),(5,7),(8,10)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,5),(2,3),(4,9),(6,7),(8,10)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,4),(2,3),(5,9),(6,7),(8,10)]         => [1,1,0,0,1,1,0,1,0,0]
[(1,3),(2,4),(5,9),(6,7),(8,10)]         => [1,1,0,0,1,1,0,1,0,0]
[(1,2),(3,4),(5,9),(6,7),(8,10)]         => [1,0,1,0,1,1,0,1,0,0]
[(1,2),(3,4),(5,10),(6,7),(8,9)]         => [1,0,1,0,1,1,0,1,0,0]
[(1,3),(2,4),(5,10),(6,7),(8,9)]         => [1,1,0,0,1,1,0,1,0,0]
[(1,4),(2,3),(5,10),(6,7),(8,9)]         => [1,1,0,0,1,1,0,1,0,0]
[(1,5),(2,3),(4,10),(6,7),(8,9)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,6),(2,3),(4,10),(5,7),(8,9)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,7),(2,3),(4,10),(5,6),(8,9)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,8),(2,3),(4,10),(5,6),(7,9)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,9),(2,3),(4,10),(5,6),(7,8)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,10),(2,3),(4,9),(5,6),(7,8)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,10),(2,4),(3,9),(5,6),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,4),(3,10),(5,6),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,8),(2,4),(3,10),(5,6),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,4),(3,10),(5,6),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,6),(2,4),(3,10),(5,7),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,4),(3,10),(6,7),(8,9)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,4),(2,5),(3,10),(6,7),(8,9)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,3),(2,5),(4,10),(6,7),(8,9)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,2),(3,5),(4,10),(6,7),(8,9)]         => [1,0,1,1,0,1,0,1,0,0]
[(1,2),(3,6),(4,10),(5,7),(8,9)]         => [1,0,1,1,1,0,0,1,0,0]
[(1,3),(2,6),(4,10),(5,7),(8,9)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,4),(2,6),(3,10),(5,7),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,6),(3,10),(4,7),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,5),(3,10),(4,7),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,7),(2,5),(3,10),(4,6),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,5),(3,10),(4,6),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,5),(3,10),(4,6),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,5),(3,9),(4,6),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,6),(3,9),(4,5),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,6),(3,10),(4,5),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,6),(3,10),(4,5),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,6),(3,10),(4,5),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,7),(3,10),(4,5),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,5),(2,7),(3,10),(4,6),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,7),(3,10),(5,6),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,3),(2,7),(4,10),(5,6),(8,9)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,2),(3,7),(4,10),(5,6),(8,9)]         => [1,0,1,1,1,0,0,1,0,0]
[(1,2),(3,8),(4,10),(5,6),(7,9)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,3),(2,8),(4,10),(5,6),(7,9)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,4),(2,8),(3,10),(5,6),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,8),(3,10),(4,6),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,8),(3,10),(4,5),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,8),(3,10),(4,5),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,7),(3,10),(4,5),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,7),(3,10),(4,5),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,7),(3,9),(4,5),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,8),(3,9),(4,5),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,8),(3,10),(4,5),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,9),(3,10),(4,5),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,9),(3,10),(4,5),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,9),(3,10),(4,5),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,9),(3,10),(4,6),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,4),(2,9),(3,10),(5,6),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,9),(4,10),(5,6),(7,8)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,2),(3,9),(4,10),(5,6),(7,8)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,2),(3,10),(4,9),(5,6),(7,8)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,3),(2,10),(4,9),(5,6),(7,8)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,4),(2,10),(3,9),(5,6),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,10),(3,9),(4,6),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,10),(3,9),(4,5),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,10),(3,9),(4,5),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,10),(3,9),(4,5),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,10),(3,8),(4,5),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,9),(3,8),(4,5),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,9),(3,8),(4,6),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,10),(3,8),(4,6),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,10),(3,9),(4,6),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,10),(3,9),(4,6),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,10),(3,9),(4,7),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,10),(3,9),(4,7),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,10),(3,9),(5,7),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,3),(2,10),(4,9),(5,7),(6,8)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,2),(3,10),(4,9),(5,7),(6,8)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,2),(3,9),(4,10),(5,7),(6,8)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,3),(2,9),(4,10),(5,7),(6,8)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,9),(3,10),(5,7),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,9),(3,10),(4,7),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,9),(3,10),(4,7),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,9),(3,10),(4,6),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,9),(3,10),(4,6),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,8),(3,10),(4,6),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,8),(3,9),(4,6),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,7),(3,9),(4,6),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,7),(3,10),(4,6),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,7),(3,10),(4,6),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,8),(3,10),(4,6),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,8),(3,10),(4,7),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,8),(3,10),(4,7),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,8),(3,10),(5,7),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,3),(2,8),(4,10),(5,7),(6,9)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,2),(3,8),(4,10),(5,7),(6,9)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,2),(3,7),(4,10),(5,8),(6,9)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,3),(2,7),(4,10),(5,8),(6,9)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,7),(3,10),(5,8),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,7),(3,10),(4,8),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,7),(3,10),(4,8),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,6),(3,10),(4,8),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,6),(3,10),(4,7),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,6),(3,10),(4,7),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,6),(3,9),(4,7),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,5),(3,9),(4,7),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,5),(3,10),(4,7),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,5),(3,10),(4,7),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,5),(3,10),(4,8),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,5),(3,10),(4,8),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,6),(3,10),(4,8),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,4),(2,6),(3,10),(5,8),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,6),(4,10),(5,8),(7,9)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,2),(3,6),(4,10),(5,8),(7,9)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,2),(3,5),(4,10),(6,8),(7,9)]         => [1,0,1,1,0,1,1,0,0,0]
[(1,3),(2,5),(4,10),(6,8),(7,9)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,5),(3,10),(6,8),(7,9)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,5),(2,4),(3,10),(6,8),(7,9)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,6),(2,4),(3,10),(5,8),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,4),(3,10),(5,8),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,4),(3,10),(5,7),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,4),(3,10),(5,7),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,4),(3,9),(5,7),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,3),(4,9),(5,7),(6,8)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,9),(2,3),(4,10),(5,7),(6,8)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,3),(4,10),(5,7),(6,9)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,7),(2,3),(4,10),(5,8),(6,9)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,3),(4,10),(5,8),(7,9)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,3),(4,10),(6,8),(7,9)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,3),(5,10),(6,8),(7,9)]         => [1,1,0,0,1,1,1,0,0,0]
[(1,3),(2,4),(5,10),(6,8),(7,9)]         => [1,1,0,0,1,1,1,0,0,0]
[(1,2),(3,4),(5,10),(6,8),(7,9)]         => [1,0,1,0,1,1,1,0,0,0]
[(1,2),(3,4),(5,9),(6,8),(7,10)]         => [1,0,1,0,1,1,1,0,0,0]
[(1,3),(2,4),(5,9),(6,8),(7,10)]         => [1,1,0,0,1,1,1,0,0,0]
[(1,4),(2,3),(5,9),(6,8),(7,10)]         => [1,1,0,0,1,1,1,0,0,0]
[(1,5),(2,3),(4,9),(6,8),(7,10)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,6),(2,3),(4,9),(5,8),(7,10)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,7),(2,3),(4,9),(5,8),(6,10)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,3),(4,9),(5,7),(6,10)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,9),(2,3),(4,8),(5,7),(6,10)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,10),(2,3),(4,8),(5,7),(6,9)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,10),(2,4),(3,8),(5,7),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,4),(3,8),(5,7),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,4),(3,9),(5,7),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,4),(3,9),(5,8),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,4),(3,9),(5,8),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,4),(3,9),(6,8),(7,10)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,4),(2,5),(3,9),(6,8),(7,10)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,3),(2,5),(4,9),(6,8),(7,10)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,2),(3,5),(4,9),(6,8),(7,10)]         => [1,0,1,1,0,1,1,0,0,0]
[(1,2),(3,6),(4,9),(5,8),(7,10)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,3),(2,6),(4,9),(5,8),(7,10)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,4),(2,6),(3,9),(5,8),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,6),(3,9),(4,8),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,5),(3,9),(4,8),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,5),(3,9),(4,8),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,5),(3,9),(4,7),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,5),(3,8),(4,7),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,5),(3,8),(4,7),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,6),(3,8),(4,7),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,6),(3,8),(4,7),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,6),(3,9),(4,7),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,6),(3,9),(4,8),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,7),(3,9),(4,8),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,7),(3,9),(4,8),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,7),(3,9),(5,8),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,3),(2,7),(4,9),(5,8),(6,10)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,2),(3,7),(4,9),(5,8),(6,10)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,2),(3,8),(4,9),(5,7),(6,10)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,3),(2,8),(4,9),(5,7),(6,10)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,8),(3,9),(5,7),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,8),(3,9),(4,7),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,8),(3,9),(4,7),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,8),(3,9),(4,6),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,7),(3,9),(4,6),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,7),(3,8),(4,6),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,7),(3,8),(4,6),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,8),(3,7),(4,6),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,8),(3,7),(4,6),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,9),(3,7),(4,6),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,9),(3,8),(4,6),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,9),(3,8),(4,7),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,9),(3,8),(4,7),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,9),(3,8),(5,7),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,3),(2,9),(4,8),(5,7),(6,10)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,2),(3,9),(4,8),(5,7),(6,10)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,2),(3,10),(4,8),(5,7),(6,9)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,3),(2,10),(4,8),(5,7),(6,9)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,10),(3,8),(5,7),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,10),(3,8),(4,7),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,10),(3,8),(4,7),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,10),(3,8),(4,6),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,10),(3,7),(4,6),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,10),(3,7),(4,6),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,9),(3,7),(4,6),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,9),(3,6),(4,7),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,10),(3,6),(4,7),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,10),(3,6),(4,7),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,10),(3,6),(4,8),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,10),(3,7),(4,8),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,10),(3,7),(4,8),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,10),(3,7),(5,8),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,3),(2,10),(4,7),(5,8),(6,9)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,2),(3,10),(4,7),(5,8),(6,9)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,2),(3,9),(4,7),(5,8),(6,10)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,3),(2,9),(4,7),(5,8),(6,10)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,9),(3,7),(5,8),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,9),(3,7),(4,8),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,9),(3,7),(4,8),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,9),(3,6),(4,8),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,9),(3,6),(4,7),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,8),(3,6),(4,7),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,8),(3,6),(4,7),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,7),(3,6),(4,8),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,7),(3,6),(4,8),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,7),(3,6),(4,9),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,8),(3,6),(4,9),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,8),(3,7),(4,9),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,8),(3,7),(4,9),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,8),(3,7),(5,9),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,3),(2,8),(4,7),(5,9),(6,10)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,2),(3,8),(4,7),(5,9),(6,10)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,2),(3,7),(4,8),(5,9),(6,10)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,3),(2,7),(4,8),(5,9),(6,10)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,7),(3,8),(5,9),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,7),(3,8),(4,9),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,7),(3,8),(4,9),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,6),(3,8),(4,9),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,6),(3,7),(4,9),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,6),(3,7),(4,8),(5,10)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,6),(3,7),(4,8),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,5),(3,7),(4,8),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,5),(3,7),(4,8),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,5),(3,7),(4,9),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,5),(3,8),(4,9),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,5),(3,8),(4,9),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,6),(3,8),(4,9),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,4),(2,6),(3,8),(5,9),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,6),(4,8),(5,9),(7,10)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,2),(3,6),(4,8),(5,9),(7,10)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,2),(3,5),(4,8),(6,9),(7,10)]         => [1,0,1,1,0,1,1,0,0,0]
[(1,3),(2,5),(4,8),(6,9),(7,10)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,5),(3,8),(6,9),(7,10)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,5),(2,4),(3,8),(6,9),(7,10)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,6),(2,4),(3,8),(5,9),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,4),(3,8),(5,9),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,4),(3,7),(5,9),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,4),(3,7),(5,8),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,4),(3,7),(5,8),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,3),(4,7),(5,8),(6,9)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,9),(2,3),(4,7),(5,8),(6,10)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,3),(4,7),(5,9),(6,10)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,7),(2,3),(4,8),(5,9),(6,10)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,3),(4,8),(5,9),(7,10)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,3),(4,8),(6,9),(7,10)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,3),(5,8),(6,9),(7,10)]         => [1,1,0,0,1,1,1,0,0,0]
[(1,3),(2,4),(5,8),(6,9),(7,10)]         => [1,1,0,0,1,1,1,0,0,0]
[(1,2),(3,4),(5,8),(6,9),(7,10)]         => [1,0,1,0,1,1,1,0,0,0]
[(1,2),(3,4),(5,7),(6,9),(8,10)]         => [1,0,1,0,1,1,0,1,0,0]
[(1,3),(2,4),(5,7),(6,9),(8,10)]         => [1,1,0,0,1,1,0,1,0,0]
[(1,4),(2,3),(5,7),(6,9),(8,10)]         => [1,1,0,0,1,1,0,1,0,0]
[(1,5),(2,3),(4,7),(6,9),(8,10)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,6),(2,3),(4,7),(5,9),(8,10)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,7),(2,3),(4,6),(5,9),(8,10)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,8),(2,3),(4,6),(5,9),(7,10)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,9),(2,3),(4,6),(5,8),(7,10)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,10),(2,3),(4,6),(5,8),(7,9)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,10),(2,4),(3,6),(5,8),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,4),(3,6),(5,8),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,8),(2,4),(3,6),(5,9),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,4),(3,6),(5,9),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,6),(2,4),(3,7),(5,9),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,4),(3,7),(6,9),(8,10)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,4),(2,5),(3,7),(6,9),(8,10)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,3),(2,5),(4,7),(6,9),(8,10)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,2),(3,5),(4,7),(6,9),(8,10)]         => [1,0,1,1,0,1,0,1,0,0]
[(1,2),(3,6),(4,7),(5,9),(8,10)]         => [1,0,1,1,1,0,0,1,0,0]
[(1,3),(2,6),(4,7),(5,9),(8,10)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,4),(2,6),(3,7),(5,9),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,6),(3,7),(4,9),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,5),(3,7),(4,9),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,7),(2,5),(3,6),(4,9),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,5),(3,6),(4,9),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,5),(3,6),(4,8),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,5),(3,6),(4,8),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,6),(3,5),(4,8),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,6),(3,5),(4,8),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,6),(3,5),(4,9),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,6),(3,5),(4,9),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,7),(3,5),(4,9),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,5),(2,7),(3,6),(4,9),(8,10)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,7),(3,6),(5,9),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,3),(2,7),(4,6),(5,9),(8,10)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,2),(3,7),(4,6),(5,9),(8,10)]         => [1,0,1,1,1,0,0,1,0,0]
[(1,2),(3,8),(4,6),(5,9),(7,10)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,3),(2,8),(4,6),(5,9),(7,10)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,4),(2,8),(3,6),(5,9),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,8),(3,6),(4,9),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,8),(3,5),(4,9),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,8),(3,5),(4,9),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,7),(3,5),(4,9),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,7),(3,5),(4,8),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,7),(3,5),(4,8),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,8),(3,5),(4,7),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,8),(3,5),(4,7),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,9),(3,5),(4,7),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,9),(3,5),(4,8),(6,10)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,9),(3,5),(4,8),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,9),(3,6),(4,8),(7,10)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,4),(2,9),(3,6),(5,8),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,9),(4,6),(5,8),(7,10)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,2),(3,9),(4,6),(5,8),(7,10)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,2),(3,10),(4,6),(5,8),(7,9)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,3),(2,10),(4,6),(5,8),(7,9)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,4),(2,10),(3,6),(5,8),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,10),(3,6),(4,8),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,10),(3,5),(4,8),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,10),(3,5),(4,8),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,10),(3,5),(4,7),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,10),(3,5),(4,7),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,9),(3,5),(4,7),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,9),(3,4),(5,7),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,10),(3,4),(5,7),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,10),(3,4),(5,7),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,10),(3,4),(5,8),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,10),(3,4),(5,8),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,10),(3,4),(6,8),(7,9)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,4),(2,10),(3,5),(6,8),(7,9)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,3),(2,10),(4,5),(6,8),(7,9)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,2),(3,10),(4,5),(6,8),(7,9)]         => [1,0,1,1,0,1,1,0,0,0]
[(1,2),(3,9),(4,5),(6,8),(7,10)]         => [1,0,1,1,0,1,1,0,0,0]
[(1,3),(2,9),(4,5),(6,8),(7,10)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,9),(3,5),(6,8),(7,10)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,5),(2,9),(3,4),(6,8),(7,10)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,6),(2,9),(3,4),(5,8),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,9),(3,4),(5,8),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,9),(3,4),(5,7),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,8),(3,4),(5,7),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,8),(3,4),(5,7),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,7),(3,4),(5,8),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,7),(3,4),(5,8),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,7),(3,4),(5,9),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,8),(3,4),(5,9),(6,10)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,8),(3,4),(5,9),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,8),(3,4),(6,9),(7,10)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,4),(2,8),(3,5),(6,9),(7,10)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,3),(2,8),(4,5),(6,9),(7,10)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,2),(3,8),(4,5),(6,9),(7,10)]         => [1,0,1,1,0,1,1,0,0,0]
[(1,2),(3,7),(4,5),(6,9),(8,10)]         => [1,0,1,1,0,1,0,1,0,0]
[(1,3),(2,7),(4,5),(6,9),(8,10)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,4),(2,7),(3,5),(6,9),(8,10)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,5),(2,7),(3,4),(6,9),(8,10)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,6),(2,7),(3,4),(5,9),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,7),(2,6),(3,4),(5,9),(8,10)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,8),(2,6),(3,4),(5,9),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,6),(3,4),(5,8),(7,10)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,6),(3,4),(5,8),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,5),(3,4),(6,8),(7,9)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,9),(2,5),(3,4),(6,8),(7,10)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,8),(2,5),(3,4),(6,9),(7,10)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,7),(2,5),(3,4),(6,9),(8,10)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,6),(2,5),(3,4),(7,9),(8,10)]         => [1,1,1,0,0,0,1,1,0,0]
[(1,5),(2,6),(3,4),(7,9),(8,10)]         => [1,1,1,0,0,0,1,1,0,0]
[(1,4),(2,6),(3,5),(7,9),(8,10)]         => [1,1,1,0,0,0,1,1,0,0]
[(1,3),(2,6),(4,5),(7,9),(8,10)]         => [1,1,0,1,0,0,1,1,0,0]
[(1,2),(3,6),(4,5),(7,9),(8,10)]         => [1,0,1,1,0,0,1,1,0,0]
[(1,2),(3,5),(4,6),(7,9),(8,10)]         => [1,0,1,1,0,0,1,1,0,0]
[(1,3),(2,5),(4,6),(7,9),(8,10)]         => [1,1,0,1,0,0,1,1,0,0]
[(1,4),(2,5),(3,6),(7,9),(8,10)]         => [1,1,1,0,0,0,1,1,0,0]
[(1,5),(2,4),(3,6),(7,9),(8,10)]         => [1,1,1,0,0,0,1,1,0,0]
[(1,6),(2,4),(3,5),(7,9),(8,10)]         => [1,1,1,0,0,0,1,1,0,0]
[(1,7),(2,4),(3,5),(6,9),(8,10)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,8),(2,4),(3,5),(6,9),(7,10)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,9),(2,4),(3,5),(6,8),(7,10)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,10),(2,4),(3,5),(6,8),(7,9)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,10),(2,3),(4,5),(6,8),(7,9)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,9),(2,3),(4,5),(6,8),(7,10)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,8),(2,3),(4,5),(6,9),(7,10)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,7),(2,3),(4,5),(6,9),(8,10)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,6),(2,3),(4,5),(7,9),(8,10)]         => [1,1,0,1,0,0,1,1,0,0]
[(1,5),(2,3),(4,6),(7,9),(8,10)]         => [1,1,0,1,0,0,1,1,0,0]
[(1,4),(2,3),(5,6),(7,9),(8,10)]         => [1,1,0,0,1,0,1,1,0,0]
[(1,3),(2,4),(5,6),(7,9),(8,10)]         => [1,1,0,0,1,0,1,1,0,0]
[(1,2),(3,4),(5,6),(7,9),(8,10)]         => [1,0,1,0,1,0,1,1,0,0]
[(1,2),(3,4),(5,6),(7,10),(8,9)]         => [1,0,1,0,1,0,1,1,0,0]
[(1,3),(2,4),(5,6),(7,10),(8,9)]         => [1,1,0,0,1,0,1,1,0,0]
[(1,4),(2,3),(5,6),(7,10),(8,9)]         => [1,1,0,0,1,0,1,1,0,0]
[(1,5),(2,3),(4,6),(7,10),(8,9)]         => [1,1,0,1,0,0,1,1,0,0]
[(1,6),(2,3),(4,5),(7,10),(8,9)]         => [1,1,0,1,0,0,1,1,0,0]
[(1,7),(2,3),(4,5),(6,10),(8,9)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,8),(2,3),(4,5),(6,10),(7,9)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,9),(2,3),(4,5),(6,10),(7,8)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,10),(2,3),(4,5),(6,9),(7,8)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,10),(2,4),(3,5),(6,9),(7,8)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,9),(2,4),(3,5),(6,10),(7,8)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,8),(2,4),(3,5),(6,10),(7,9)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,7),(2,4),(3,5),(6,10),(8,9)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,6),(2,4),(3,5),(7,10),(8,9)]         => [1,1,1,0,0,0,1,1,0,0]
[(1,5),(2,4),(3,6),(7,10),(8,9)]         => [1,1,1,0,0,0,1,1,0,0]
[(1,4),(2,5),(3,6),(7,10),(8,9)]         => [1,1,1,0,0,0,1,1,0,0]
[(1,3),(2,5),(4,6),(7,10),(8,9)]         => [1,1,0,1,0,0,1,1,0,0]
[(1,2),(3,5),(4,6),(7,10),(8,9)]         => [1,0,1,1,0,0,1,1,0,0]
[(1,2),(3,6),(4,5),(7,10),(8,9)]         => [1,0,1,1,0,0,1,1,0,0]
[(1,3),(2,6),(4,5),(7,10),(8,9)]         => [1,1,0,1,0,0,1,1,0,0]
[(1,4),(2,6),(3,5),(7,10),(8,9)]         => [1,1,1,0,0,0,1,1,0,0]
[(1,5),(2,6),(3,4),(7,10),(8,9)]         => [1,1,1,0,0,0,1,1,0,0]
[(1,6),(2,5),(3,4),(7,10),(8,9)]         => [1,1,1,0,0,0,1,1,0,0]
[(1,7),(2,5),(3,4),(6,10),(8,9)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,8),(2,5),(3,4),(6,10),(7,9)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,9),(2,5),(3,4),(6,10),(7,8)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,10),(2,5),(3,4),(6,9),(7,8)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,10),(2,6),(3,4),(5,9),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,6),(3,4),(5,10),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,8),(2,6),(3,4),(5,10),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,6),(3,4),(5,10),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,6),(2,7),(3,4),(5,10),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,7),(3,4),(6,10),(8,9)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,4),(2,7),(3,5),(6,10),(8,9)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,3),(2,7),(4,5),(6,10),(8,9)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,2),(3,7),(4,5),(6,10),(8,9)]         => [1,0,1,1,0,1,0,1,0,0]
[(1,2),(3,8),(4,5),(6,10),(7,9)]         => [1,0,1,1,0,1,1,0,0,0]
[(1,3),(2,8),(4,5),(6,10),(7,9)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,8),(3,5),(6,10),(7,9)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,5),(2,8),(3,4),(6,10),(7,9)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,6),(2,8),(3,4),(5,10),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,8),(3,4),(5,10),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,7),(3,4),(5,10),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,7),(3,4),(5,10),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,7),(3,4),(5,9),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,8),(3,4),(5,9),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,8),(3,4),(5,10),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,9),(3,4),(5,10),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,9),(3,4),(5,10),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,9),(3,4),(5,10),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,9),(3,4),(6,10),(7,8)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,4),(2,9),(3,5),(6,10),(7,8)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,3),(2,9),(4,5),(6,10),(7,8)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,2),(3,9),(4,5),(6,10),(7,8)]         => [1,0,1,1,0,1,1,0,0,0]
[(1,2),(3,10),(4,5),(6,9),(7,8)]         => [1,0,1,1,0,1,1,0,0,0]
[(1,3),(2,10),(4,5),(6,9),(7,8)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,10),(3,5),(6,9),(7,8)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,5),(2,10),(3,4),(6,9),(7,8)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,6),(2,10),(3,4),(5,9),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,10),(3,4),(5,9),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,10),(3,4),(5,9),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,10),(3,4),(5,8),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,9),(3,4),(5,8),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,9),(3,5),(4,8),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,10),(3,5),(4,8),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,10),(3,5),(4,9),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,10),(3,5),(4,9),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,10),(3,5),(4,9),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,10),(3,6),(4,9),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,4),(2,10),(3,6),(5,9),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,10),(4,6),(5,9),(7,8)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,2),(3,10),(4,6),(5,9),(7,8)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,2),(3,9),(4,6),(5,10),(7,8)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,3),(2,9),(4,6),(5,10),(7,8)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,4),(2,9),(3,6),(5,10),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,9),(3,6),(4,10),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,9),(3,5),(4,10),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,9),(3,5),(4,10),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,9),(3,5),(4,10),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,8),(3,5),(4,10),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,8),(3,5),(4,9),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,7),(3,5),(4,9),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,7),(3,5),(4,10),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,7),(3,5),(4,10),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,8),(3,5),(4,10),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,8),(3,5),(4,10),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,8),(3,6),(4,10),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,4),(2,8),(3,6),(5,10),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,8),(4,6),(5,10),(7,9)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,2),(3,8),(4,6),(5,10),(7,9)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,2),(3,7),(4,6),(5,10),(8,9)]         => [1,0,1,1,1,0,0,1,0,0]
[(1,3),(2,7),(4,6),(5,10),(8,9)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,4),(2,7),(3,6),(5,10),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,5),(2,7),(3,6),(4,10),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,7),(3,5),(4,10),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,7),(2,6),(3,5),(4,10),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,8),(2,6),(3,5),(4,10),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,6),(3,5),(4,10),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,6),(3,5),(4,9),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,10),(2,5),(3,6),(4,9),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,9),(2,5),(3,6),(4,10),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,8),(2,5),(3,6),(4,10),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,5),(3,6),(4,10),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,6),(2,5),(3,7),(4,10),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,5),(2,6),(3,7),(4,10),(8,9)]         => [1,1,1,1,0,0,0,1,0,0]
[(1,4),(2,6),(3,7),(5,10),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,3),(2,6),(4,7),(5,10),(8,9)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,2),(3,6),(4,7),(5,10),(8,9)]         => [1,0,1,1,1,0,0,1,0,0]
[(1,2),(3,5),(4,7),(6,10),(8,9)]         => [1,0,1,1,0,1,0,1,0,0]
[(1,3),(2,5),(4,7),(6,10),(8,9)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,4),(2,5),(3,7),(6,10),(8,9)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,5),(2,4),(3,7),(6,10),(8,9)]         => [1,1,1,0,0,1,0,1,0,0]
[(1,6),(2,4),(3,7),(5,10),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,7),(2,4),(3,6),(5,10),(8,9)]         => [1,1,1,0,1,0,0,1,0,0]
[(1,8),(2,4),(3,6),(5,10),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,9),(2,4),(3,6),(5,10),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,4),(3,6),(5,9),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,10),(2,3),(4,6),(5,9),(7,8)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,9),(2,3),(4,6),(5,10),(7,8)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,8),(2,3),(4,6),(5,10),(7,9)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,7),(2,3),(4,6),(5,10),(8,9)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,6),(2,3),(4,7),(5,10),(8,9)]         => [1,1,0,1,1,0,0,1,0,0]
[(1,5),(2,3),(4,7),(6,10),(8,9)]         => [1,1,0,1,0,1,0,1,0,0]
[(1,4),(2,3),(5,7),(6,10),(8,9)]         => [1,1,0,0,1,1,0,1,0,0]
[(1,3),(2,4),(5,7),(6,10),(8,9)]         => [1,1,0,0,1,1,0,1,0,0]
[(1,2),(3,4),(5,7),(6,10),(8,9)]         => [1,0,1,0,1,1,0,1,0,0]
[(1,2),(3,4),(5,8),(6,10),(7,9)]         => [1,0,1,0,1,1,1,0,0,0]
[(1,3),(2,4),(5,8),(6,10),(7,9)]         => [1,1,0,0,1,1,1,0,0,0]
[(1,4),(2,3),(5,8),(6,10),(7,9)]         => [1,1,0,0,1,1,1,0,0,0]
[(1,5),(2,3),(4,8),(6,10),(7,9)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,6),(2,3),(4,8),(5,10),(7,9)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,7),(2,3),(4,8),(5,10),(6,9)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,3),(4,7),(5,10),(6,9)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,9),(2,3),(4,7),(5,10),(6,8)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,10),(2,3),(4,7),(5,9),(6,8)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,10),(2,4),(3,7),(5,9),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,4),(3,7),(5,10),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,4),(3,7),(5,10),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,4),(3,8),(5,10),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,4),(3,8),(5,10),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,4),(3,8),(6,10),(7,9)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,4),(2,5),(3,8),(6,10),(7,9)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,3),(2,5),(4,8),(6,10),(7,9)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,2),(3,5),(4,8),(6,10),(7,9)]         => [1,0,1,1,0,1,1,0,0,0]
[(1,2),(3,6),(4,8),(5,10),(7,9)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,3),(2,6),(4,8),(5,10),(7,9)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,4),(2,6),(3,8),(5,10),(7,9)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,6),(3,8),(4,10),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,5),(3,8),(4,10),(7,9)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,5),(3,8),(4,10),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,5),(3,7),(4,10),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,5),(3,7),(4,10),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,5),(3,7),(4,9),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,6),(3,7),(4,9),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,6),(3,7),(4,10),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,6),(3,7),(4,10),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,6),(3,8),(4,10),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,7),(3,8),(4,10),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,7),(3,8),(4,10),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,7),(3,8),(5,10),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,3),(2,7),(4,8),(5,10),(6,9)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,2),(3,7),(4,8),(5,10),(6,9)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,2),(3,8),(4,7),(5,10),(6,9)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,3),(2,8),(4,7),(5,10),(6,9)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,8),(3,7),(5,10),(6,9)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,8),(3,7),(4,10),(6,9)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,8),(3,7),(4,10),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,8),(3,6),(4,10),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,7),(3,6),(4,10),(5,9)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,7),(3,6),(4,10),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,7),(3,6),(4,9),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,8),(3,6),(4,9),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,8),(3,6),(4,10),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,9),(3,6),(4,10),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,9),(3,6),(4,10),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,9),(3,7),(4,10),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,9),(3,7),(4,10),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,9),(3,7),(5,10),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,3),(2,9),(4,7),(5,10),(6,8)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,2),(3,9),(4,7),(5,10),(6,8)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,2),(3,10),(4,7),(5,9),(6,8)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,3),(2,10),(4,7),(5,9),(6,8)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,10),(3,7),(5,9),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,10),(3,7),(4,9),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,10),(3,7),(4,9),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,10),(3,6),(4,9),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,10),(3,6),(4,9),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,10),(3,6),(4,8),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,9),(3,6),(4,8),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,9),(3,7),(4,8),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,10),(3,7),(4,8),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,10),(3,7),(4,9),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,10),(3,8),(4,9),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,10),(3,8),(4,9),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,10),(3,8),(4,9),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,10),(3,8),(5,9),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,3),(2,10),(4,8),(5,9),(6,7)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,2),(3,10),(4,8),(5,9),(6,7)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,2),(3,9),(4,8),(5,10),(6,7)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,3),(2,9),(4,8),(5,10),(6,7)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,9),(3,8),(5,10),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,9),(3,8),(4,10),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,9),(3,8),(4,10),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,9),(3,8),(4,10),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,9),(3,7),(4,10),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,8),(3,7),(4,10),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,8),(3,7),(4,9),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,7),(3,8),(4,9),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,7),(3,8),(4,10),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,7),(3,9),(4,10),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,8),(3,9),(4,10),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,8),(3,9),(4,10),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,8),(3,9),(4,10),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,8),(3,9),(5,10),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,3),(2,8),(4,9),(5,10),(6,7)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,2),(3,8),(4,9),(5,10),(6,7)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,2),(3,7),(4,9),(5,10),(6,8)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,3),(2,7),(4,9),(5,10),(6,8)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,7),(3,9),(5,10),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,7),(3,9),(4,10),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,7),(3,9),(4,10),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,6),(3,9),(4,10),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,6),(3,9),(4,10),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,6),(3,8),(4,10),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,6),(3,8),(4,9),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,5),(3,8),(4,9),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,5),(3,8),(4,10),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,5),(3,9),(4,10),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,7),(2,5),(3,9),(4,10),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,5),(3,9),(4,10),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,5),(2,6),(3,9),(4,10),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,4),(2,6),(3,9),(5,10),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,3),(2,6),(4,9),(5,10),(7,8)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,2),(3,6),(4,9),(5,10),(7,8)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,2),(3,5),(4,9),(6,10),(7,8)]         => [1,0,1,1,0,1,1,0,0,0]
[(1,3),(2,5),(4,9),(6,10),(7,8)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,5),(3,9),(6,10),(7,8)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,5),(2,4),(3,9),(6,10),(7,8)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,6),(2,4),(3,9),(5,10),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,7),(2,4),(3,9),(5,10),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,4),(3,9),(5,10),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,4),(3,8),(5,10),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,4),(3,8),(5,9),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,10),(2,3),(4,8),(5,9),(6,7)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,9),(2,3),(4,8),(5,10),(6,7)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,3),(4,9),(5,10),(6,7)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,7),(2,3),(4,9),(5,10),(6,8)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,3),(4,9),(5,10),(7,8)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,5),(2,3),(4,9),(6,10),(7,8)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,4),(2,3),(5,9),(6,10),(7,8)]         => [1,1,0,0,1,1,1,0,0,0]
[(1,3),(2,4),(5,9),(6,10),(7,8)]         => [1,1,0,0,1,1,1,0,0,0]
[(1,2),(3,4),(5,9),(6,10),(7,8)]         => [1,0,1,0,1,1,1,0,0,0]
[(1,2),(3,4),(5,10),(6,9),(7,8)]         => [1,0,1,0,1,1,1,0,0,0]
[(1,3),(2,4),(5,10),(6,9),(7,8)]         => [1,1,0,0,1,1,1,0,0,0]
[(1,4),(2,3),(5,10),(6,9),(7,8)]         => [1,1,0,0,1,1,1,0,0,0]
[(1,5),(2,3),(4,10),(6,9),(7,8)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,6),(2,3),(4,10),(5,9),(7,8)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,7),(2,3),(4,10),(5,9),(6,8)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,8),(2,3),(4,10),(5,9),(6,7)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,9),(2,3),(4,10),(5,8),(6,7)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,10),(2,3),(4,9),(5,8),(6,7)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,10),(2,4),(3,9),(5,8),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,9),(2,4),(3,10),(5,8),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,8),(2,4),(3,10),(5,9),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,7),(2,4),(3,10),(5,9),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,6),(2,4),(3,10),(5,9),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,4),(3,10),(6,9),(7,8)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,4),(2,5),(3,10),(6,9),(7,8)]         => [1,1,1,0,0,1,1,0,0,0]
[(1,3),(2,5),(4,10),(6,9),(7,8)]         => [1,1,0,1,0,1,1,0,0,0]
[(1,2),(3,5),(4,10),(6,9),(7,8)]         => [1,0,1,1,0,1,1,0,0,0]
[(1,2),(3,6),(4,10),(5,9),(7,8)]         => [1,0,1,1,1,0,1,0,0,0]
[(1,3),(2,6),(4,10),(5,9),(7,8)]         => [1,1,0,1,1,0,1,0,0,0]
[(1,4),(2,6),(3,10),(5,9),(7,8)]         => [1,1,1,0,1,0,1,0,0,0]
[(1,5),(2,6),(3,10),(4,9),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,6),(2,5),(3,10),(4,9),(7,8)]         => [1,1,1,1,0,0,1,0,0,0]
[(1,7),(2,5),(3,10),(4,9),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,8),(2,5),(3,10),(4,9),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,9),(2,5),(3,10),(4,8),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,5),(3,9),(4,8),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,10),(2,6),(3,9),(4,8),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,6),(3,10),(4,8),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,6),(3,10),(4,9),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,6),(3,10),(4,9),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,7),(3,10),(4,9),(5,8)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,7),(3,10),(4,9),(6,8)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,7),(3,10),(5,9),(6,8)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,3),(2,7),(4,10),(5,9),(6,8)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,2),(3,7),(4,10),(5,9),(6,8)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,2),(3,8),(4,10),(5,9),(6,7)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,3),(2,8),(4,10),(5,9),(6,7)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,8),(3,10),(5,9),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,8),(3,10),(4,9),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,8),(3,10),(4,9),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,8),(3,10),(4,9),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,7),(3,10),(4,9),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,7),(3,10),(4,8),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,7),(3,9),(4,8),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,8),(3,9),(4,7),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,8),(3,10),(4,7),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,9),(3,10),(4,7),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,9),(3,10),(4,8),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,6),(2,9),(3,10),(4,8),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,5),(2,9),(3,10),(4,8),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,9),(3,10),(5,8),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,3),(2,9),(4,10),(5,8),(6,7)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,2),(3,9),(4,10),(5,8),(6,7)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,2),(3,10),(4,9),(5,8),(6,7)]         => [1,0,1,1,1,1,0,0,0,0]
[(1,3),(2,10),(4,9),(5,8),(6,7)]         => [1,1,0,1,1,1,0,0,0,0]
[(1,4),(2,10),(3,9),(5,8),(6,7)]         => [1,1,1,0,1,1,0,0,0,0]
[(1,5),(2,10),(3,9),(4,8),(6,7)]         => [1,1,1,1,0,1,0,0,0,0]
[(1,6),(2,10),(3,9),(4,8),(5,7)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,7),(2,10),(3,9),(4,8),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,8),(2,10),(3,9),(4,7),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,9),(2,10),(3,8),(4,7),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,10),(2,9),(3,8),(4,7),(5,6)]         => [1,1,1,1,1,0,0,0,0,0]
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [1,1,1,1,1,1,0,0,0,0,0,0]
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [1,0,1,1,1,1,0,0,0,0,1,0]
[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [1,1,0,1,1,1,0,0,0,1,0,0]
[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [1,0,1,1,1,1,0,0,0,1,0,0]
[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [1,1,0,1,1,1,0,0,0,0,1,0]
[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [1,1,1,0,1,1,0,0,1,0,0,0]
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [1,0,1,0,1,1,0,0,1,0,1,0]
[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [1,1,0,1,1,1,0,0,1,0,0,0]
[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [1,0,1,1,1,1,0,0,1,0,0,0]
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [1,1,0,0,1,1,0,0,1,0,1,0]
[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [1,1,1,0,1,1,0,0,0,1,0,0]
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [1,0,1,0,1,1,0,0,1,1,0,0]
[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [1,1,1,0,1,1,0,0,0,0,1,0]
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [1,1,0,0,1,1,0,0,1,1,0,0]
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [1,1,1,1,0,1,0,1,0,0,0,0]
[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [1,0,1,1,0,1,0,1,0,0,1,0]
[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [1,1,0,1,0,1,0,1,0,1,0,0]
[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [1,0,1,1,0,1,0,1,0,1,0,0]
[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [1,1,0,1,0,1,0,1,0,0,1,0]
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [1,1,1,0,1,1,0,1,0,0,0,0]
[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [1,0,1,0,1,1,0,1,0,0,1,0]
[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [1,1,0,1,1,1,0,1,0,0,0,0]
[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [1,0,1,1,1,1,0,1,0,0,0,0]
[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [1,1,0,0,1,1,0,1,0,0,1,0]
[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [1,1,1,0,0,1,0,1,0,1,0,0]
[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [1,0,1,0,1,1,0,1,0,1,0,0]
[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [1,1,1,0,0,1,0,1,0,0,1,0]
[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [1,1,0,0,1,1,0,1,0,1,0,0]
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [1,1,1,1,0,1,0,0,1,0,0,0]
[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [1,0,1,1,0,1,0,0,1,0,1,0]
[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [1,1,0,1,0,1,0,1,1,0,0,0]
[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [1,0,1,1,0,1,0,1,1,0,0,0]
[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [1,1,0,1,0,1,0,0,1,0,1,0]
[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [1,1,1,1,0,1,0,0,0,1,0,0]
[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [1,0,1,1,0,1,0,0,1,1,0,0]
[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [1,1,1,1,0,1,0,0,0,0,1,0]
[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [1,1,0,1,0,1,0,0,1,1,0,0]
[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [1,1,1,0,0,1,0,1,1,0,0,0]
[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [1,0,1,0,1,1,0,1,1,0,0,0]
[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [1,1,1,0,0,1,0,0,1,0,1,0]
[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [1,1,0,0,1,1,0,1,1,0,0,0]
[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [1,1,1,0,0,1,0,0,1,1,0,0]
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [1,1,1,1,1,0,1,0,0,0,0,0]
[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [1,0,1,1,1,0,1,0,0,0,1,0]
[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [1,1,0,1,1,0,1,0,0,1,0,0]
[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [1,0,1,1,1,0,1,0,0,1,0,0]
[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [1,1,0,1,1,0,1,0,0,0,1,0]
[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [1,1,1,0,1,0,1,0,1,0,0,0]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [1,0,1,0,1,0,1,0,1,0,1,0]
[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [1,1,0,1,1,0,1,0,1,0,0,0]
[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [1,0,1,1,1,0,1,0,1,0,0,0]
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [1,1,0,0,1,0,1,0,1,0,1,0]
[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [1,1,1,0,1,0,1,0,0,1,0,0]
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [1,0,1,0,1,0,1,0,1,1,0,0]
[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [1,1,1,0,1,0,1,0,0,0,1,0]
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [1,1,0,0,1,0,1,0,1,1,0,0]
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [1,1,1,1,0,1,1,0,0,0,0,0]
[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [1,0,1,1,0,1,1,0,0,0,1,0]
[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [1,1,0,1,0,1,1,0,0,1,0,0]
[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [1,0,1,1,0,1,1,0,0,1,0,0]
[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [1,1,0,1,0,1,1,0,0,0,1,0]
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [1,1,1,0,1,1,1,0,0,0,0,0]
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [1,0,1,0,1,1,1,0,0,0,1,0]
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [1,1,0,1,1,1,1,0,0,0,0,0]
[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [1,0,1,1,1,1,1,0,0,0,0,0]
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [1,1,0,0,1,1,1,0,0,0,1,0]
[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [1,1,1,0,0,1,1,0,0,1,0,0]
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [1,0,1,0,1,1,1,0,0,1,0,0]
[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [1,1,1,0,0,1,1,0,0,0,1,0]
[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [1,1,0,0,1,1,1,0,0,1,0,0]
[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [1,1,1,1,0,0,1,0,1,0,0,0]
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [1,0,1,1,0,0,1,0,1,0,1,0]
[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [1,1,0,1,0,1,1,0,1,0,0,0]
[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [1,0,1,1,0,1,1,0,1,0,0,0]
[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [1,1,0,1,0,0,1,0,1,0,1,0]
[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [1,1,1,1,0,0,1,0,0,1,0,0]
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [1,0,1,1,0,0,1,0,1,1,0,0]
[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [1,1,1,1,0,0,1,0,0,0,1,0]
[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [1,1,0,1,0,0,1,0,1,1,0,0]
[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [1,1,1,0,0,1,1,0,1,0,0,0]
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [1,0,1,0,1,1,1,0,1,0,0,0]
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [1,1,1,0,0,0,1,0,1,0,1,0]
[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [1,1,0,0,1,1,1,0,1,0,0,0]
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [1,1,1,0,0,0,1,0,1,1,0,0]
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [1,1,1,1,1,0,0,1,0,0,0,0]
[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [1,0,1,1,1,0,0,1,0,0,1,0]
[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [1,1,0,1,1,0,0,1,0,1,0,0]
[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [1,0,1,1,1,0,0,1,0,1,0,0]
[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [1,1,0,1,1,0,0,1,0,0,1,0]
[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [1,1,1,0,1,0,1,1,0,0,0,0]
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [1,0,1,0,1,0,1,1,0,0,1,0]
[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [1,1,0,1,1,0,1,1,0,0,0,0]
[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [1,0,1,1,1,0,1,1,0,0,0,0]
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [1,1,0,0,1,0,1,1,0,0,1,0]
[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [1,1,1,0,1,0,0,1,0,1,0,0]
[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [1,0,1,0,1,0,1,1,0,1,0,0]
[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [1,1,1,0,1,0,0,1,0,0,1,0]
[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [1,1,0,0,1,0,1,1,0,1,0,0]
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [1,1,1,1,1,0,0,0,1,0,0,0]
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [1,0,1,1,1,0,0,0,1,0,1,0]
[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [1,1,0,1,1,0,0,1,1,0,0,0]
[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [1,0,1,1,1,0,0,1,1,0,0,0]
[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [1,1,0,1,1,0,0,0,1,0,1,0]
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [1,1,1,1,1,0,0,0,0,1,0,0]
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [1,0,1,1,1,0,0,0,1,1,0,0]
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [1,1,1,1,1,0,0,0,0,0,1,0]
[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [1,1,0,1,1,0,0,0,1,1,0,0]
[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [1,1,1,0,1,0,0,1,1,0,0,0]
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [1,0,1,0,1,0,1,1,1,0,0,0]
[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [1,1,1,0,1,0,0,0,1,0,1,0]
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [1,1,0,0,1,0,1,1,1,0,0,0]
[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [1,1,1,0,1,0,0,0,1,1,0,0]
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [1,1,1,1,0,0,1,1,0,0,0,0]
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [1,0,1,1,0,0,1,1,0,0,1,0]
[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [1,1,0,1,0,1,1,1,0,0,0,0]
[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [1,0,1,1,0,1,1,1,0,0,0,0]
[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [1,1,0,1,0,0,1,1,0,0,1,0]
[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [1,1,1,1,0,0,0,1,0,1,0,0]
[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [1,0,1,1,0,0,1,1,0,1,0,0]
[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [1,1,1,1,0,0,0,1,0,0,1,0]
[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [1,1,0,1,0,0,1,1,0,1,0,0]
[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [1,1,1,0,0,1,1,1,0,0,0,0]
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [1,0,1,0,1,1,1,1,0,0,0,0]
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [1,1,1,0,0,0,1,1,0,0,1,0]
[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [1,1,0,0,1,1,1,1,0,0,0,0]
[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [1,1,1,0,0,0,1,1,0,1,0,0]
[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [1,1,1,1,0,0,0,1,1,0,0,0]
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [1,0,1,1,0,0,1,1,1,0,0,0]
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [1,1,1,1,0,0,0,0,1,0,1,0]
[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [1,1,0,1,0,0,1,1,1,0,0,0]
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [1,1,1,1,0,0,0,0,1,1,0,0]

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Created: Sep 03, 2020 at 14:42 by Martin Rubey

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Last Updated: Sep 03, 2020 at 14:42 by Martin Rubey