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************************************************************************

------------------------------------------------------------------------
Map identifier: Mp00146

------------------------------------------------------------------------
Map name: to tunnel matching

------------------------------------------------------------------------
Domain: Dyck paths

------------------------------------------------------------------------
Codomain: Perfect matchings

------------------------------------------------------------------------
Description: Sends a Dyck path of semilength n to the noncrossing perfect matching given by matching an up-step with the corresponding down-step.

This is, for a Dyck path $D$ of semilength $n$, the perfect matching of $\{1,\dots,2n\}$ with $i < j$ being matched if $D_i$ is an up-step and $D_j$ is the down-step connected to $D_i$ by a tunnel.

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

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

def mapping(D):
    return PerfectMatching([(a+1, b) for a,b in D.tunnels()])

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

[1,0]                             => [(1,2)]
[1,0,1,0]                         => [(1,2),(3,4)]
[1,1,0,0]                         => [(1,4),(2,3)]
[1,0,1,0,1,0]                     => [(1,2),(3,4),(5,6)]
[1,0,1,1,0,0]                     => [(1,2),(3,6),(4,5)]
[1,1,0,0,1,0]                     => [(1,4),(2,3),(5,6)]
[1,1,0,1,0,0]                     => [(1,6),(2,3),(4,5)]
[1,1,1,0,0,0]                     => [(1,6),(2,5),(3,4)]
[1,0,1,0,1,0,1,0]                 => [(1,2),(3,4),(5,6),(7,8)]
[1,0,1,0,1,1,0,0]                 => [(1,2),(3,4),(5,8),(6,7)]
[1,0,1,1,0,0,1,0]                 => [(1,2),(3,6),(4,5),(7,8)]
[1,0,1,1,0,1,0,0]                 => [(1,2),(3,8),(4,5),(6,7)]
[1,0,1,1,1,0,0,0]                 => [(1,2),(3,8),(4,7),(5,6)]
[1,1,0,0,1,0,1,0]                 => [(1,4),(2,3),(5,6),(7,8)]
[1,1,0,0,1,1,0,0]                 => [(1,4),(2,3),(5,8),(6,7)]
[1,1,0,1,0,0,1,0]                 => [(1,6),(2,3),(4,5),(7,8)]
[1,1,0,1,0,1,0,0]                 => [(1,8),(2,3),(4,5),(6,7)]
[1,1,0,1,1,0,0,0]                 => [(1,8),(2,3),(4,7),(5,6)]
[1,1,1,0,0,0,1,0]                 => [(1,6),(2,5),(3,4),(7,8)]
[1,1,1,0,0,1,0,0]                 => [(1,8),(2,5),(3,4),(6,7)]
[1,1,1,0,1,0,0,0]                 => [(1,8),(2,7),(3,4),(5,6)]
[1,1,1,1,0,0,0,0]                 => [(1,8),(2,7),(3,6),(4,5)]
[1,0,1,0,1,0,1,0,1,0]             => [(1,2),(3,4),(5,6),(7,8),(9,10)]
[1,0,1,0,1,0,1,1,0,0]             => [(1,2),(3,4),(5,6),(7,10),(8,9)]
[1,0,1,0,1,1,0,0,1,0]             => [(1,2),(3,4),(5,8),(6,7),(9,10)]
[1,0,1,0,1,1,0,1,0,0]             => [(1,2),(3,4),(5,10),(6,7),(8,9)]
[1,0,1,0,1,1,1,0,0,0]             => [(1,2),(3,4),(5,10),(6,9),(7,8)]
[1,0,1,1,0,0,1,0,1,0]             => [(1,2),(3,6),(4,5),(7,8),(9,10)]
[1,0,1,1,0,0,1,1,0,0]             => [(1,2),(3,6),(4,5),(7,10),(8,9)]
[1,0,1,1,0,1,0,0,1,0]             => [(1,2),(3,8),(4,5),(6,7),(9,10)]
[1,0,1,1,0,1,0,1,0,0]             => [(1,2),(3,10),(4,5),(6,7),(8,9)]
[1,0,1,1,0,1,1,0,0,0]             => [(1,2),(3,10),(4,5),(6,9),(7,8)]
[1,0,1,1,1,0,0,0,1,0]             => [(1,2),(3,8),(4,7),(5,6),(9,10)]
[1,0,1,1,1,0,0,1,0,0]             => [(1,2),(3,10),(4,7),(5,6),(8,9)]
[1,0,1,1,1,0,1,0,0,0]             => [(1,2),(3,10),(4,9),(5,6),(7,8)]
[1,0,1,1,1,1,0,0,0,0]             => [(1,2),(3,10),(4,9),(5,8),(6,7)]
[1,1,0,0,1,0,1,0,1,0]             => [(1,4),(2,3),(5,6),(7,8),(9,10)]
[1,1,0,0,1,0,1,1,0,0]             => [(1,4),(2,3),(5,6),(7,10),(8,9)]
[1,1,0,0,1,1,0,0,1,0]             => [(1,4),(2,3),(5,8),(6,7),(9,10)]
[1,1,0,0,1,1,0,1,0,0]             => [(1,4),(2,3),(5,10),(6,7),(8,9)]
[1,1,0,0,1,1,1,0,0,0]             => [(1,4),(2,3),(5,10),(6,9),(7,8)]
[1,1,0,1,0,0,1,0,1,0]             => [(1,6),(2,3),(4,5),(7,8),(9,10)]
[1,1,0,1,0,0,1,1,0,0]             => [(1,6),(2,3),(4,5),(7,10),(8,9)]
[1,1,0,1,0,1,0,0,1,0]             => [(1,8),(2,3),(4,5),(6,7),(9,10)]
[1,1,0,1,0,1,0,1,0,0]             => [(1,10),(2,3),(4,5),(6,7),(8,9)]
[1,1,0,1,0,1,1,0,0,0]             => [(1,10),(2,3),(4,5),(6,9),(7,8)]
[1,1,0,1,1,0,0,0,1,0]             => [(1,8),(2,3),(4,7),(5,6),(9,10)]
[1,1,0,1,1,0,0,1,0,0]             => [(1,10),(2,3),(4,7),(5,6),(8,9)]
[1,1,0,1,1,0,1,0,0,0]             => [(1,10),(2,3),(4,9),(5,6),(7,8)]
[1,1,0,1,1,1,0,0,0,0]             => [(1,10),(2,3),(4,9),(5,8),(6,7)]
[1,1,1,0,0,0,1,0,1,0]             => [(1,6),(2,5),(3,4),(7,8),(9,10)]
[1,1,1,0,0,0,1,1,0,0]             => [(1,6),(2,5),(3,4),(7,10),(8,9)]
[1,1,1,0,0,1,0,0,1,0]             => [(1,8),(2,5),(3,4),(6,7),(9,10)]
[1,1,1,0,0,1,0,1,0,0]             => [(1,10),(2,5),(3,4),(6,7),(8,9)]
[1,1,1,0,0,1,1,0,0,0]             => [(1,10),(2,5),(3,4),(6,9),(7,8)]
[1,1,1,0,1,0,0,0,1,0]             => [(1,8),(2,7),(3,4),(5,6),(9,10)]
[1,1,1,0,1,0,0,1,0,0]             => [(1,10),(2,7),(3,4),(5,6),(8,9)]
[1,1,1,0,1,0,1,0,0,0]             => [(1,10),(2,9),(3,4),(5,6),(7,8)]
[1,1,1,0,1,1,0,0,0,0]             => [(1,10),(2,9),(3,4),(5,8),(6,7)]
[1,1,1,1,0,0,0,0,1,0]             => [(1,8),(2,7),(3,6),(4,5),(9,10)]
[1,1,1,1,0,0,0,1,0,0]             => [(1,10),(2,7),(3,6),(4,5),(8,9)]
[1,1,1,1,0,0,1,0,0,0]             => [(1,10),(2,9),(3,6),(4,5),(7,8)]
[1,1,1,1,0,1,0,0,0,0]             => [(1,10),(2,9),(3,8),(4,5),(6,7)]
[1,1,1,1,1,0,0,0,0,0]             => [(1,10),(2,9),(3,8),(4,7),(5,6)]
[1,0,1,0,1,0,1,0,1,0,1,0]         => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]
[1,0,1,0,1,0,1,0,1,1,0,0]         => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]
[1,0,1,0,1,0,1,1,0,0,1,0]         => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]
[1,0,1,0,1,0,1,1,0,1,0,0]         => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]
[1,0,1,0,1,0,1,1,1,0,0,0]         => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]
[1,0,1,0,1,1,0,0,1,0,1,0]         => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]
[1,0,1,0,1,1,0,0,1,1,0,0]         => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]
[1,0,1,0,1,1,0,1,0,0,1,0]         => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]
[1,0,1,0,1,1,0,1,0,1,0,0]         => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]
[1,0,1,0,1,1,0,1,1,0,0,0]         => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]
[1,0,1,0,1,1,1,0,0,0,1,0]         => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]
[1,0,1,0,1,1,1,0,0,1,0,0]         => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]
[1,0,1,0,1,1,1,0,1,0,0,0]         => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]
[1,0,1,0,1,1,1,1,0,0,0,0]         => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]
[1,0,1,1,0,0,1,0,1,0,1,0]         => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]
[1,0,1,1,0,0,1,0,1,1,0,0]         => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]
[1,0,1,1,0,0,1,1,0,0,1,0]         => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]
[1,0,1,1,0,0,1,1,0,1,0,0]         => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]
[1,0,1,1,0,0,1,1,1,0,0,0]         => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)]
[1,0,1,1,0,1,0,0,1,0,1,0]         => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]
[1,0,1,1,0,1,0,0,1,1,0,0]         => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]
[1,0,1,1,0,1,0,1,0,0,1,0]         => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]
[1,0,1,1,0,1,0,1,0,1,0,0]         => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]
[1,0,1,1,0,1,0,1,1,0,0,0]         => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]
[1,0,1,1,0,1,1,0,0,0,1,0]         => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]
[1,0,1,1,0,1,1,0,0,1,0,0]         => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]
[1,0,1,1,0,1,1,0,1,0,0,0]         => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]
[1,0,1,1,0,1,1,1,0,0,0,0]         => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]
[1,0,1,1,1,0,0,0,1,0,1,0]         => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]
[1,0,1,1,1,0,0,0,1,1,0,0]         => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]
[1,0,1,1,1,0,0,1,0,0,1,0]         => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]
[1,0,1,1,1,0,0,1,0,1,0,0]         => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]
[1,0,1,1,1,0,0,1,1,0,0,0]         => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]
[1,0,1,1,1,0,1,0,0,0,1,0]         => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]
[1,0,1,1,1,0,1,0,0,1,0,0]         => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]
[1,0,1,1,1,0,1,0,1,0,0,0]         => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]
[1,0,1,1,1,0,1,1,0,0,0,0]         => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]
[1,0,1,1,1,1,0,0,0,0,1,0]         => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]
[1,0,1,1,1,1,0,0,0,1,0,0]         => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]
[1,0,1,1,1,1,0,0,1,0,0,0]         => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]
[1,0,1,1,1,1,0,1,0,0,0,0]         => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]
[1,0,1,1,1,1,1,0,0,0,0,0]         => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)]
[1,1,0,0,1,0,1,0,1,0,1,0]         => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]
[1,1,0,0,1,0,1,0,1,1,0,0]         => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]
[1,1,0,0,1,0,1,1,0,0,1,0]         => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]
[1,1,0,0,1,0,1,1,0,1,0,0]         => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]
[1,1,0,0,1,0,1,1,1,0,0,0]         => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)]
[1,1,0,0,1,1,0,0,1,0,1,0]         => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]
[1,1,0,0,1,1,0,0,1,1,0,0]         => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]
[1,1,0,0,1,1,0,1,0,0,1,0]         => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]
[1,1,0,0,1,1,0,1,0,1,0,0]         => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]
[1,1,0,0,1,1,0,1,1,0,0,0]         => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]
[1,1,0,0,1,1,1,0,0,0,1,0]         => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]
[1,1,0,0,1,1,1,0,0,1,0,0]         => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]
[1,1,0,0,1,1,1,0,1,0,0,0]         => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]
[1,1,0,0,1,1,1,1,0,0,0,0]         => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)]
[1,1,0,1,0,0,1,0,1,0,1,0]         => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]
[1,1,0,1,0,0,1,0,1,1,0,0]         => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]
[1,1,0,1,0,0,1,1,0,0,1,0]         => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]
[1,1,0,1,0,0,1,1,0,1,0,0]         => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]
[1,1,0,1,0,0,1,1,1,0,0,0]         => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)]
[1,1,0,1,0,1,0,0,1,0,1,0]         => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]
[1,1,0,1,0,1,0,0,1,1,0,0]         => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]
[1,1,0,1,0,1,0,1,0,0,1,0]         => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]
[1,1,0,1,0,1,0,1,0,1,0,0]         => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]
[1,1,0,1,0,1,0,1,1,0,0,0]         => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]
[1,1,0,1,0,1,1,0,0,0,1,0]         => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]
[1,1,0,1,0,1,1,0,0,1,0,0]         => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]
[1,1,0,1,0,1,1,0,1,0,0,0]         => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]
[1,1,0,1,0,1,1,1,0,0,0,0]         => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]
[1,1,0,1,1,0,0,0,1,0,1,0]         => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]
[1,1,0,1,1,0,0,0,1,1,0,0]         => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]
[1,1,0,1,1,0,0,1,0,0,1,0]         => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]
[1,1,0,1,1,0,0,1,0,1,0,0]         => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]
[1,1,0,1,1,0,0,1,1,0,0,0]         => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]
[1,1,0,1,1,0,1,0,0,0,1,0]         => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]
[1,1,0,1,1,0,1,0,0,1,0,0]         => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]
[1,1,0,1,1,0,1,0,1,0,0,0]         => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]
[1,1,0,1,1,0,1,1,0,0,0,0]         => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]
[1,1,0,1,1,1,0,0,0,0,1,0]         => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]
[1,1,0,1,1,1,0,0,0,1,0,0]         => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]
[1,1,0,1,1,1,0,0,1,0,0,0]         => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]
[1,1,0,1,1,1,0,1,0,0,0,0]         => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]
[1,1,0,1,1,1,1,0,0,0,0,0]         => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]
[1,1,1,0,0,0,1,0,1,0,1,0]         => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]
[1,1,1,0,0,0,1,0,1,1,0,0]         => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]
[1,1,1,0,0,0,1,1,0,0,1,0]         => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]
[1,1,1,0,0,0,1,1,0,1,0,0]         => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)]
[1,1,1,0,0,0,1,1,1,0,0,0]         => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)]
[1,1,1,0,0,1,0,0,1,0,1,0]         => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]
[1,1,1,0,0,1,0,0,1,1,0,0]         => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]
[1,1,1,0,0,1,0,1,0,0,1,0]         => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]
[1,1,1,0,0,1,0,1,0,1,0,0]         => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]
[1,1,1,0,0,1,0,1,1,0,0,0]         => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]
[1,1,1,0,0,1,1,0,0,0,1,0]         => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]
[1,1,1,0,0,1,1,0,0,1,0,0]         => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]
[1,1,1,0,0,1,1,0,1,0,0,0]         => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]
[1,1,1,0,0,1,1,1,0,0,0,0]         => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]
[1,1,1,0,1,0,0,0,1,0,1,0]         => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]
[1,1,1,0,1,0,0,0,1,1,0,0]         => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)]
[1,1,1,0,1,0,0,1,0,0,1,0]         => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]
[1,1,1,0,1,0,0,1,0,1,0,0]         => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]
[1,1,1,0,1,0,0,1,1,0,0,0]         => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]
[1,1,1,0,1,0,1,0,0,0,1,0]         => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]
[1,1,1,0,1,0,1,0,0,1,0,0]         => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]
[1,1,1,0,1,0,1,0,1,0,0,0]         => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]
[1,1,1,0,1,0,1,1,0,0,0,0]         => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]
[1,1,1,0,1,1,0,0,0,0,1,0]         => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]
[1,1,1,0,1,1,0,0,0,1,0,0]         => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]
[1,1,1,0,1,1,0,0,1,0,0,0]         => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]
[1,1,1,0,1,1,0,1,0,0,0,0]         => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]
[1,1,1,0,1,1,1,0,0,0,0,0]         => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]
[1,1,1,1,0,0,0,0,1,0,1,0]         => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)]
[1,1,1,1,0,0,0,0,1,1,0,0]         => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)]
[1,1,1,1,0,0,0,1,0,0,1,0]         => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]
[1,1,1,1,0,0,0,1,0,1,0,0]         => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]
[1,1,1,1,0,0,0,1,1,0,0,0]         => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)]
[1,1,1,1,0,0,1,0,0,0,1,0]         => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]
[1,1,1,1,0,0,1,0,0,1,0,0]         => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]
[1,1,1,1,0,0,1,0,1,0,0,0]         => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]
[1,1,1,1,0,0,1,1,0,0,0,0]         => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]
[1,1,1,1,0,1,0,0,0,0,1,0]         => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]
[1,1,1,1,0,1,0,0,0,1,0,0]         => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]
[1,1,1,1,0,1,0,0,1,0,0,0]         => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]
[1,1,1,1,0,1,0,1,0,0,0,0]         => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]
[1,1,1,1,0,1,1,0,0,0,0,0]         => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]
[1,1,1,1,1,0,0,0,0,0,1,0]         => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)]
[1,1,1,1,1,0,0,0,0,1,0,0]         => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]
[1,1,1,1,1,0,0,0,1,0,0,0]         => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]
[1,1,1,1,1,0,0,1,0,0,0,0]         => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]
[1,1,1,1,1,0,1,0,0,0,0,0]         => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]
[1,1,1,1,1,1,0,0,0,0,0,0]         => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]     => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]     => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13)]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]     => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11),(13,14)]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]     => [(1,2),(3,4),(5,6),(7,8),(9,14),(10,11),(12,13)]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]     => [(1,2),(3,4),(5,6),(7,8),(9,14),(10,13),(11,12)]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]     => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12),(13,14)]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]     => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,14),(12,13)]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]     => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11),(13,14)]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]     => [(1,2),(3,4),(5,6),(7,14),(8,9),(10,11),(12,13)]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]     => [(1,2),(3,4),(5,6),(7,14),(8,9),(10,13),(11,12)]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]     => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10),(13,14)]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]     => [(1,2),(3,4),(5,6),(7,14),(8,11),(9,10),(12,13)]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]     => [(1,2),(3,4),(5,6),(7,14),(8,13),(9,10),(11,12)]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]     => [(1,2),(3,4),(5,6),(7,14),(8,13),(9,12),(10,11)]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]     => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12),(13,14)]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]     => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,14),(12,13)]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]     => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11),(13,14)]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]     => [(1,2),(3,4),(5,8),(6,7),(9,14),(10,11),(12,13)]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]     => [(1,2),(3,4),(5,8),(6,7),(9,14),(10,13),(11,12)]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]     => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12),(13,14)]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]     => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,14),(12,13)]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]     => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11),(13,14)]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]     => [(1,2),(3,4),(5,14),(6,7),(8,9),(10,11),(12,13)]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]     => [(1,2),(3,4),(5,14),(6,7),(8,9),(10,13),(11,12)]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]     => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10),(13,14)]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]     => [(1,2),(3,4),(5,14),(6,7),(8,11),(9,10),(12,13)]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]     => [(1,2),(3,4),(5,14),(6,7),(8,13),(9,10),(11,12)]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]     => [(1,2),(3,4),(5,14),(6,7),(8,13),(9,12),(10,11)]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]     => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12),(13,14)]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]     => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,14),(12,13)]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]     => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11),(13,14)]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]     => [(1,2),(3,4),(5,14),(6,9),(7,8),(10,11),(12,13)]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]     => [(1,2),(3,4),(5,14),(6,9),(7,8),(10,13),(11,12)]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]     => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10),(13,14)]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]     => [(1,2),(3,4),(5,14),(6,11),(7,8),(9,10),(12,13)]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]     => [(1,2),(3,4),(5,14),(6,13),(7,8),(9,10),(11,12)]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]     => [(1,2),(3,4),(5,14),(6,13),(7,8),(9,12),(10,11)]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]     => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9),(13,14)]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]     => [(1,2),(3,4),(5,14),(6,11),(7,10),(8,9),(12,13)]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]     => [(1,2),(3,4),(5,14),(6,13),(7,10),(8,9),(11,12)]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]     => [(1,2),(3,4),(5,14),(6,13),(7,12),(8,9),(10,11)]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]     => [(1,2),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10)]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]     => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,14)]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]     => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,14),(12,13)]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]     => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11),(13,14)]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]     => [(1,2),(3,6),(4,5),(7,8),(9,14),(10,11),(12,13)]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]     => [(1,2),(3,6),(4,5),(7,8),(9,14),(10,13),(11,12)]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]     => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12),(13,14)]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]     => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,14),(12,13)]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]     => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11),(13,14)]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]     => [(1,2),(3,6),(4,5),(7,14),(8,9),(10,11),(12,13)]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]     => [(1,2),(3,6),(4,5),(7,14),(8,9),(10,13),(11,12)]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]     => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10),(13,14)]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]     => [(1,2),(3,6),(4,5),(7,14),(8,11),(9,10),(12,13)]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]     => [(1,2),(3,6),(4,5),(7,14),(8,13),(9,10),(11,12)]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]     => [(1,2),(3,6),(4,5),(7,14),(8,13),(9,12),(10,11)]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]     => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12),(13,14)]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]     => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,14),(12,13)]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]     => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11),(13,14)]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]     => [(1,2),(3,8),(4,5),(6,7),(9,14),(10,11),(12,13)]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]     => [(1,2),(3,8),(4,5),(6,7),(9,14),(10,13),(11,12)]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]     => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12),(13,14)]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]     => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,14),(12,13)]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]     => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11),(13,14)]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]     => [(1,2),(3,14),(4,5),(6,7),(8,9),(10,11),(12,13)]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]     => [(1,2),(3,14),(4,5),(6,7),(8,9),(10,13),(11,12)]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]     => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10),(13,14)]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]     => [(1,2),(3,14),(4,5),(6,7),(8,11),(9,10),(12,13)]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]     => [(1,2),(3,14),(4,5),(6,7),(8,13),(9,10),(11,12)]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]     => [(1,2),(3,14),(4,5),(6,7),(8,13),(9,12),(10,11)]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]     => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12),(13,14)]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]     => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,14),(12,13)]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]     => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11),(13,14)]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]     => [(1,2),(3,14),(4,5),(6,9),(7,8),(10,11),(12,13)]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]     => [(1,2),(3,14),(4,5),(6,9),(7,8),(10,13),(11,12)]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]     => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10),(13,14)]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]     => [(1,2),(3,14),(4,5),(6,11),(7,8),(9,10),(12,13)]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]     => [(1,2),(3,14),(4,5),(6,13),(7,8),(9,10),(11,12)]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]     => [(1,2),(3,14),(4,5),(6,13),(7,8),(9,12),(10,11)]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]     => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9),(13,14)]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]     => [(1,2),(3,14),(4,5),(6,11),(7,10),(8,9),(12,13)]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]     => [(1,2),(3,14),(4,5),(6,13),(7,10),(8,9),(11,12)]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]     => [(1,2),(3,14),(4,5),(6,13),(7,12),(8,9),(10,11)]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]     => [(1,2),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10)]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]     => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12),(13,14)]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]     => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,14),(12,13)]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]     => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11),(13,14)]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]     => [(1,2),(3,8),(4,7),(5,6),(9,14),(10,11),(12,13)]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]     => [(1,2),(3,8),(4,7),(5,6),(9,14),(10,13),(11,12)]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]     => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12),(13,14)]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]     => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,14),(12,13)]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]     => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11),(13,14)]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]     => [(1,2),(3,14),(4,7),(5,6),(8,9),(10,11),(12,13)]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]     => [(1,2),(3,14),(4,7),(5,6),(8,9),(10,13),(11,12)]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]     => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10),(13,14)]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]     => [(1,2),(3,14),(4,7),(5,6),(8,11),(9,10),(12,13)]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]     => [(1,2),(3,14),(4,7),(5,6),(8,13),(9,10),(11,12)]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]     => [(1,2),(3,14),(4,7),(5,6),(8,13),(9,12),(10,11)]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]     => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12),(13,14)]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]     => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,14),(12,13)]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]     => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11),(13,14)]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]     => [(1,2),(3,14),(4,9),(5,6),(7,8),(10,11),(12,13)]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]     => [(1,2),(3,14),(4,9),(5,6),(7,8),(10,13),(11,12)]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]     => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10),(13,14)]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]     => [(1,2),(3,14),(4,11),(5,6),(7,8),(9,10),(12,13)]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]     => [(1,2),(3,14),(4,13),(5,6),(7,8),(9,10),(11,12)]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]     => [(1,2),(3,14),(4,13),(5,6),(7,8),(9,12),(10,11)]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]     => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9),(13,14)]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]     => [(1,2),(3,14),(4,11),(5,6),(7,10),(8,9),(12,13)]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]     => [(1,2),(3,14),(4,13),(5,6),(7,10),(8,9),(11,12)]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]     => [(1,2),(3,14),(4,13),(5,6),(7,12),(8,9),(10,11)]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]     => [(1,2),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10)]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]     => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12),(13,14)]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]     => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,14),(12,13)]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]     => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11),(13,14)]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]     => [(1,2),(3,14),(4,9),(5,8),(6,7),(10,11),(12,13)]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]     => [(1,2),(3,14),(4,9),(5,8),(6,7),(10,13),(11,12)]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]     => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10),(13,14)]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]     => [(1,2),(3,14),(4,11),(5,8),(6,7),(9,10),(12,13)]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]     => [(1,2),(3,14),(4,13),(5,8),(6,7),(9,10),(11,12)]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]     => [(1,2),(3,14),(4,13),(5,8),(6,7),(9,12),(10,11)]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]     => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9),(13,14)]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]     => [(1,2),(3,14),(4,11),(5,10),(6,7),(8,9),(12,13)]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]     => [(1,2),(3,14),(4,13),(5,10),(6,7),(8,9),(11,12)]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]     => [(1,2),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11)]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]     => [(1,2),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10)]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]     => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8),(13,14)]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]     => [(1,2),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13)]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]     => [(1,2),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12)]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]     => [(1,2),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11)]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]     => [(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10)]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]     => [(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9)]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]     => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14)]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]     => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,14),(12,13)]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]     => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11),(13,14)]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]     => [(1,4),(2,3),(5,6),(7,8),(9,14),(10,11),(12,13)]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]     => [(1,4),(2,3),(5,6),(7,8),(9,14),(10,13),(11,12)]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]     => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12),(13,14)]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]     => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,14),(12,13)]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]     => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11),(13,14)]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]     => [(1,4),(2,3),(5,6),(7,14),(8,9),(10,11),(12,13)]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]     => [(1,4),(2,3),(5,6),(7,14),(8,9),(10,13),(11,12)]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]     => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10),(13,14)]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]     => [(1,4),(2,3),(5,6),(7,14),(8,11),(9,10),(12,13)]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]     => [(1,4),(2,3),(5,6),(7,14),(8,13),(9,10),(11,12)]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]     => [(1,4),(2,3),(5,6),(7,14),(8,13),(9,12),(10,11)]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]     => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12),(13,14)]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]     => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,14),(12,13)]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]     => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11),(13,14)]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]     => [(1,4),(2,3),(5,8),(6,7),(9,14),(10,11),(12,13)]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]     => [(1,4),(2,3),(5,8),(6,7),(9,14),(10,13),(11,12)]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]     => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12),(13,14)]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]     => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,14),(12,13)]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]     => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11),(13,14)]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]     => [(1,4),(2,3),(5,14),(6,7),(8,9),(10,11),(12,13)]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]     => [(1,4),(2,3),(5,14),(6,7),(8,9),(10,13),(11,12)]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]     => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10),(13,14)]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]     => [(1,4),(2,3),(5,14),(6,7),(8,11),(9,10),(12,13)]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]     => [(1,4),(2,3),(5,14),(6,7),(8,13),(9,10),(11,12)]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]     => [(1,4),(2,3),(5,14),(6,7),(8,13),(9,12),(10,11)]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]     => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12),(13,14)]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]     => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,14),(12,13)]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]     => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11),(13,14)]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]     => [(1,4),(2,3),(5,14),(6,9),(7,8),(10,11),(12,13)]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]     => [(1,4),(2,3),(5,14),(6,9),(7,8),(10,13),(11,12)]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]     => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10),(13,14)]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]     => [(1,4),(2,3),(5,14),(6,11),(7,8),(9,10),(12,13)]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]     => [(1,4),(2,3),(5,14),(6,13),(7,8),(9,10),(11,12)]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]     => [(1,4),(2,3),(5,14),(6,13),(7,8),(9,12),(10,11)]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]     => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9),(13,14)]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]     => [(1,4),(2,3),(5,14),(6,11),(7,10),(8,9),(12,13)]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]     => [(1,4),(2,3),(5,14),(6,13),(7,10),(8,9),(11,12)]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]     => [(1,4),(2,3),(5,14),(6,13),(7,12),(8,9),(10,11)]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]     => [(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10)]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]     => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,14)]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]     => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,14),(12,13)]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]     => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11),(13,14)]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]     => [(1,6),(2,3),(4,5),(7,8),(9,14),(10,11),(12,13)]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]     => [(1,6),(2,3),(4,5),(7,8),(9,14),(10,13),(11,12)]
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]     => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,12),(13,14)]
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]     => [(1,6),(2,3),(4,5),(7,10),(8,9),(11,14),(12,13)]
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]     => [(1,6),(2,3),(4,5),(7,12),(8,9),(10,11),(13,14)]
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]     => [(1,6),(2,3),(4,5),(7,14),(8,9),(10,11),(12,13)]
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]     => [(1,6),(2,3),(4,5),(7,14),(8,9),(10,13),(11,12)]
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]     => [(1,6),(2,3),(4,5),(7,12),(8,11),(9,10),(13,14)]
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]     => [(1,6),(2,3),(4,5),(7,14),(8,11),(9,10),(12,13)]
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]     => [(1,6),(2,3),(4,5),(7,14),(8,13),(9,10),(11,12)]
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]     => [(1,6),(2,3),(4,5),(7,14),(8,13),(9,12),(10,11)]
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]     => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,12),(13,14)]
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]     => [(1,8),(2,3),(4,5),(6,7),(9,10),(11,14),(12,13)]
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]     => [(1,8),(2,3),(4,5),(6,7),(9,12),(10,11),(13,14)]
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]     => [(1,8),(2,3),(4,5),(6,7),(9,14),(10,11),(12,13)]
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]     => [(1,8),(2,3),(4,5),(6,7),(9,14),(10,13),(11,12)]
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]     => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,12),(13,14)]
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]     => [(1,10),(2,3),(4,5),(6,7),(8,9),(11,14),(12,13)]
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]     => [(1,12),(2,3),(4,5),(6,7),(8,9),(10,11),(13,14)]
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]     => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)]
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]     => [(1,14),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12)]
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]     => [(1,12),(2,3),(4,5),(6,7),(8,11),(9,10),(13,14)]
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]     => [(1,14),(2,3),(4,5),(6,7),(8,11),(9,10),(12,13)]
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]     => [(1,14),(2,3),(4,5),(6,7),(8,13),(9,10),(11,12)]
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]     => [(1,14),(2,3),(4,5),(6,7),(8,13),(9,12),(10,11)]
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]     => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,12),(13,14)]
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]     => [(1,10),(2,3),(4,5),(6,9),(7,8),(11,14),(12,13)]
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]     => [(1,12),(2,3),(4,5),(6,9),(7,8),(10,11),(13,14)]
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]     => [(1,14),(2,3),(4,5),(6,9),(7,8),(10,11),(12,13)]
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]     => [(1,14),(2,3),(4,5),(6,9),(7,8),(10,13),(11,12)]
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]     => [(1,12),(2,3),(4,5),(6,11),(7,8),(9,10),(13,14)]
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]     => [(1,14),(2,3),(4,5),(6,11),(7,8),(9,10),(12,13)]
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]     => [(1,14),(2,3),(4,5),(6,13),(7,8),(9,10),(11,12)]
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]     => [(1,14),(2,3),(4,5),(6,13),(7,8),(9,12),(10,11)]
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]     => [(1,12),(2,3),(4,5),(6,11),(7,10),(8,9),(13,14)]
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]     => [(1,14),(2,3),(4,5),(6,11),(7,10),(8,9),(12,13)]
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]     => [(1,14),(2,3),(4,5),(6,13),(7,10),(8,9),(11,12)]
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]     => [(1,14),(2,3),(4,5),(6,13),(7,12),(8,9),(10,11)]
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]     => [(1,14),(2,3),(4,5),(6,13),(7,12),(8,11),(9,10)]
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]     => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,12),(13,14)]
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]     => [(1,8),(2,3),(4,7),(5,6),(9,10),(11,14),(12,13)]
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]     => [(1,8),(2,3),(4,7),(5,6),(9,12),(10,11),(13,14)]
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]     => [(1,8),(2,3),(4,7),(5,6),(9,14),(10,11),(12,13)]
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]     => [(1,8),(2,3),(4,7),(5,6),(9,14),(10,13),(11,12)]
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]     => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,12),(13,14)]
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]     => [(1,10),(2,3),(4,7),(5,6),(8,9),(11,14),(12,13)]
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]     => [(1,12),(2,3),(4,7),(5,6),(8,9),(10,11),(13,14)]
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]     => [(1,14),(2,3),(4,7),(5,6),(8,9),(10,11),(12,13)]
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]     => [(1,14),(2,3),(4,7),(5,6),(8,9),(10,13),(11,12)]
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]     => [(1,12),(2,3),(4,7),(5,6),(8,11),(9,10),(13,14)]
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]     => [(1,14),(2,3),(4,7),(5,6),(8,11),(9,10),(12,13)]
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]     => [(1,14),(2,3),(4,7),(5,6),(8,13),(9,10),(11,12)]
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]     => [(1,14),(2,3),(4,7),(5,6),(8,13),(9,12),(10,11)]
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]     => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,12),(13,14)]
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]     => [(1,10),(2,3),(4,9),(5,6),(7,8),(11,14),(12,13)]
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]     => [(1,12),(2,3),(4,9),(5,6),(7,8),(10,11),(13,14)]
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]     => [(1,14),(2,3),(4,9),(5,6),(7,8),(10,11),(12,13)]
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]     => [(1,14),(2,3),(4,9),(5,6),(7,8),(10,13),(11,12)]
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]     => [(1,12),(2,3),(4,11),(5,6),(7,8),(9,10),(13,14)]
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]     => [(1,14),(2,3),(4,11),(5,6),(7,8),(9,10),(12,13)]
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]     => [(1,14),(2,3),(4,13),(5,6),(7,8),(9,10),(11,12)]
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]     => [(1,14),(2,3),(4,13),(5,6),(7,8),(9,12),(10,11)]
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]     => [(1,12),(2,3),(4,11),(5,6),(7,10),(8,9),(13,14)]
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]     => [(1,14),(2,3),(4,11),(5,6),(7,10),(8,9),(12,13)]
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]     => [(1,14),(2,3),(4,13),(5,6),(7,10),(8,9),(11,12)]
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]     => [(1,14),(2,3),(4,13),(5,6),(7,12),(8,9),(10,11)]
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]     => [(1,14),(2,3),(4,13),(5,6),(7,12),(8,11),(9,10)]
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]     => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,12),(13,14)]
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]     => [(1,10),(2,3),(4,9),(5,8),(6,7),(11,14),(12,13)]
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]     => [(1,12),(2,3),(4,9),(5,8),(6,7),(10,11),(13,14)]
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]     => [(1,14),(2,3),(4,9),(5,8),(6,7),(10,11),(12,13)]
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]     => [(1,14),(2,3),(4,9),(5,8),(6,7),(10,13),(11,12)]
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]     => [(1,12),(2,3),(4,11),(5,8),(6,7),(9,10),(13,14)]
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]     => [(1,14),(2,3),(4,11),(5,8),(6,7),(9,10),(12,13)]
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]     => [(1,14),(2,3),(4,13),(5,8),(6,7),(9,10),(11,12)]
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]     => [(1,14),(2,3),(4,13),(5,8),(6,7),(9,12),(10,11)]
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]     => [(1,12),(2,3),(4,11),(5,10),(6,7),(8,9),(13,14)]
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]     => [(1,14),(2,3),(4,11),(5,10),(6,7),(8,9),(12,13)]
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]     => [(1,14),(2,3),(4,13),(5,10),(6,7),(8,9),(11,12)]
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]     => [(1,14),(2,3),(4,13),(5,12),(6,7),(8,9),(10,11)]
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]     => [(1,14),(2,3),(4,13),(5,12),(6,7),(8,11),(9,10)]
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]     => [(1,12),(2,3),(4,11),(5,10),(6,9),(7,8),(13,14)]
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]     => [(1,14),(2,3),(4,11),(5,10),(6,9),(7,8),(12,13)]
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]     => [(1,14),(2,3),(4,13),(5,10),(6,9),(7,8),(11,12)]
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]     => [(1,14),(2,3),(4,13),(5,12),(6,9),(7,8),(10,11)]
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]     => [(1,14),(2,3),(4,13),(5,12),(6,11),(7,8),(9,10)]
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]     => [(1,14),(2,3),(4,13),(5,12),(6,11),(7,10),(8,9)]
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]     => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,14)]
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]     => [(1,6),(2,5),(3,4),(7,8),(9,10),(11,14),(12,13)]
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]     => [(1,6),(2,5),(3,4),(7,8),(9,12),(10,11),(13,14)]
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]     => [(1,6),(2,5),(3,4),(7,8),(9,14),(10,11),(12,13)]
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]     => [(1,6),(2,5),(3,4),(7,8),(9,14),(10,13),(11,12)]
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]     => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,12),(13,14)]
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]     => [(1,6),(2,5),(3,4),(7,10),(8,9),(11,14),(12,13)]
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]     => [(1,6),(2,5),(3,4),(7,12),(8,9),(10,11),(13,14)]
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]     => [(1,6),(2,5),(3,4),(7,14),(8,9),(10,11),(12,13)]
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]     => [(1,6),(2,5),(3,4),(7,14),(8,9),(10,13),(11,12)]
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]     => [(1,6),(2,5),(3,4),(7,12),(8,11),(9,10),(13,14)]
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]     => [(1,6),(2,5),(3,4),(7,14),(8,11),(9,10),(12,13)]
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]     => [(1,6),(2,5),(3,4),(7,14),(8,13),(9,10),(11,12)]
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]     => [(1,6),(2,5),(3,4),(7,14),(8,13),(9,12),(10,11)]
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]     => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,12),(13,14)]
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]     => [(1,8),(2,5),(3,4),(6,7),(9,10),(11,14),(12,13)]
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]     => [(1,8),(2,5),(3,4),(6,7),(9,12),(10,11),(13,14)]
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]     => [(1,8),(2,5),(3,4),(6,7),(9,14),(10,11),(12,13)]
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]     => [(1,8),(2,5),(3,4),(6,7),(9,14),(10,13),(11,12)]
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]     => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,12),(13,14)]
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]     => [(1,10),(2,5),(3,4),(6,7),(8,9),(11,14),(12,13)]
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]     => [(1,12),(2,5),(3,4),(6,7),(8,9),(10,11),(13,14)]
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]     => [(1,14),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13)]
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]     => [(1,14),(2,5),(3,4),(6,7),(8,9),(10,13),(11,12)]
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]     => [(1,12),(2,5),(3,4),(6,7),(8,11),(9,10),(13,14)]
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]     => [(1,14),(2,5),(3,4),(6,7),(8,11),(9,10),(12,13)]
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]     => [(1,14),(2,5),(3,4),(6,7),(8,13),(9,10),(11,12)]
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]     => [(1,14),(2,5),(3,4),(6,7),(8,13),(9,12),(10,11)]
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]     => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,12),(13,14)]
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]     => [(1,10),(2,5),(3,4),(6,9),(7,8),(11,14),(12,13)]
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]     => [(1,12),(2,5),(3,4),(6,9),(7,8),(10,11),(13,14)]
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]     => [(1,14),(2,5),(3,4),(6,9),(7,8),(10,11),(12,13)]
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]     => [(1,14),(2,5),(3,4),(6,9),(7,8),(10,13),(11,12)]
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]     => [(1,12),(2,5),(3,4),(6,11),(7,8),(9,10),(13,14)]
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]     => [(1,14),(2,5),(3,4),(6,11),(7,8),(9,10),(12,13)]
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]     => [(1,14),(2,5),(3,4),(6,13),(7,8),(9,10),(11,12)]
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]     => [(1,14),(2,5),(3,4),(6,13),(7,8),(9,12),(10,11)]
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]     => [(1,12),(2,5),(3,4),(6,11),(7,10),(8,9),(13,14)]
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]     => [(1,14),(2,5),(3,4),(6,11),(7,10),(8,9),(12,13)]
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]     => [(1,14),(2,5),(3,4),(6,13),(7,10),(8,9),(11,12)]
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]     => [(1,14),(2,5),(3,4),(6,13),(7,12),(8,9),(10,11)]
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]     => [(1,14),(2,5),(3,4),(6,13),(7,12),(8,11),(9,10)]
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]     => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,12),(13,14)]
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]     => [(1,8),(2,7),(3,4),(5,6),(9,10),(11,14),(12,13)]
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]     => [(1,8),(2,7),(3,4),(5,6),(9,12),(10,11),(13,14)]
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]     => [(1,8),(2,7),(3,4),(5,6),(9,14),(10,11),(12,13)]
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]     => [(1,8),(2,7),(3,4),(5,6),(9,14),(10,13),(11,12)]
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]     => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,12),(13,14)]
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]     => [(1,10),(2,7),(3,4),(5,6),(8,9),(11,14),(12,13)]
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]     => [(1,12),(2,7),(3,4),(5,6),(8,9),(10,11),(13,14)]
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]     => [(1,14),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13)]
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]     => [(1,14),(2,7),(3,4),(5,6),(8,9),(10,13),(11,12)]
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]     => [(1,12),(2,7),(3,4),(5,6),(8,11),(9,10),(13,14)]
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]     => [(1,14),(2,7),(3,4),(5,6),(8,11),(9,10),(12,13)]
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]     => [(1,14),(2,7),(3,4),(5,6),(8,13),(9,10),(11,12)]
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]     => [(1,14),(2,7),(3,4),(5,6),(8,13),(9,12),(10,11)]
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]     => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,12),(13,14)]
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]     => [(1,10),(2,9),(3,4),(5,6),(7,8),(11,14),(12,13)]
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]     => [(1,12),(2,9),(3,4),(5,6),(7,8),(10,11),(13,14)]
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]     => [(1,14),(2,9),(3,4),(5,6),(7,8),(10,11),(12,13)]
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]     => [(1,14),(2,9),(3,4),(5,6),(7,8),(10,13),(11,12)]
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]     => [(1,12),(2,11),(3,4),(5,6),(7,8),(9,10),(13,14)]
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]     => [(1,14),(2,11),(3,4),(5,6),(7,8),(9,10),(12,13)]
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]     => [(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12)]
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]     => [(1,14),(2,13),(3,4),(5,6),(7,8),(9,12),(10,11)]
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]     => [(1,12),(2,11),(3,4),(5,6),(7,10),(8,9),(13,14)]
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]     => [(1,14),(2,11),(3,4),(5,6),(7,10),(8,9),(12,13)]
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]     => [(1,14),(2,13),(3,4),(5,6),(7,10),(8,9),(11,12)]
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]     => [(1,14),(2,13),(3,4),(5,6),(7,12),(8,9),(10,11)]
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]     => [(1,14),(2,13),(3,4),(5,6),(7,12),(8,11),(9,10)]
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]     => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,12),(13,14)]
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]     => [(1,10),(2,9),(3,4),(5,8),(6,7),(11,14),(12,13)]
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]     => [(1,12),(2,9),(3,4),(5,8),(6,7),(10,11),(13,14)]
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]     => [(1,14),(2,9),(3,4),(5,8),(6,7),(10,11),(12,13)]
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]     => [(1,14),(2,9),(3,4),(5,8),(6,7),(10,13),(11,12)]
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]     => [(1,12),(2,11),(3,4),(5,8),(6,7),(9,10),(13,14)]
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]     => [(1,14),(2,11),(3,4),(5,8),(6,7),(9,10),(12,13)]
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]     => [(1,14),(2,13),(3,4),(5,8),(6,7),(9,10),(11,12)]
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]     => [(1,14),(2,13),(3,4),(5,8),(6,7),(9,12),(10,11)]
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]     => [(1,12),(2,11),(3,4),(5,10),(6,7),(8,9),(13,14)]
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]     => [(1,14),(2,11),(3,4),(5,10),(6,7),(8,9),(12,13)]
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]     => [(1,14),(2,13),(3,4),(5,10),(6,7),(8,9),(11,12)]
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]     => [(1,14),(2,13),(3,4),(5,12),(6,7),(8,9),(10,11)]
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]     => [(1,14),(2,13),(3,4),(5,12),(6,7),(8,11),(9,10)]
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]     => [(1,12),(2,11),(3,4),(5,10),(6,9),(7,8),(13,14)]
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]     => [(1,14),(2,11),(3,4),(5,10),(6,9),(7,8),(12,13)]
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]     => [(1,14),(2,13),(3,4),(5,10),(6,9),(7,8),(11,12)]
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]     => [(1,14),(2,13),(3,4),(5,12),(6,9),(7,8),(10,11)]
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]     => [(1,14),(2,13),(3,4),(5,12),(6,11),(7,8),(9,10)]
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]     => [(1,14),(2,13),(3,4),(5,12),(6,11),(7,10),(8,9)]
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]     => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,12),(13,14)]
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]     => [(1,8),(2,7),(3,6),(4,5),(9,10),(11,14),(12,13)]
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]     => [(1,8),(2,7),(3,6),(4,5),(9,12),(10,11),(13,14)]
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]     => [(1,8),(2,7),(3,6),(4,5),(9,14),(10,11),(12,13)]
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]     => [(1,8),(2,7),(3,6),(4,5),(9,14),(10,13),(11,12)]
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]     => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,12),(13,14)]
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]     => [(1,10),(2,7),(3,6),(4,5),(8,9),(11,14),(12,13)]
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]     => [(1,12),(2,7),(3,6),(4,5),(8,9),(10,11),(13,14)]
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]     => [(1,14),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13)]
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]     => [(1,14),(2,7),(3,6),(4,5),(8,9),(10,13),(11,12)]
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]     => [(1,12),(2,7),(3,6),(4,5),(8,11),(9,10),(13,14)]
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]     => [(1,14),(2,7),(3,6),(4,5),(8,11),(9,10),(12,13)]
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]     => [(1,14),(2,7),(3,6),(4,5),(8,13),(9,10),(11,12)]
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]     => [(1,14),(2,7),(3,6),(4,5),(8,13),(9,12),(10,11)]
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]     => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,12),(13,14)]
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]     => [(1,10),(2,9),(3,6),(4,5),(7,8),(11,14),(12,13)]
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]     => [(1,12),(2,9),(3,6),(4,5),(7,8),(10,11),(13,14)]
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]     => [(1,14),(2,9),(3,6),(4,5),(7,8),(10,11),(12,13)]
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]     => [(1,14),(2,9),(3,6),(4,5),(7,8),(10,13),(11,12)]
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]     => [(1,12),(2,11),(3,6),(4,5),(7,8),(9,10),(13,14)]
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]     => [(1,14),(2,11),(3,6),(4,5),(7,8),(9,10),(12,13)]
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]     => [(1,14),(2,13),(3,6),(4,5),(7,8),(9,10),(11,12)]
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]     => [(1,14),(2,13),(3,6),(4,5),(7,8),(9,12),(10,11)]
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]     => [(1,12),(2,11),(3,6),(4,5),(7,10),(8,9),(13,14)]
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]     => [(1,14),(2,11),(3,6),(4,5),(7,10),(8,9),(12,13)]
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]     => [(1,14),(2,13),(3,6),(4,5),(7,10),(8,9),(11,12)]
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]     => [(1,14),(2,13),(3,6),(4,5),(7,12),(8,9),(10,11)]
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]     => [(1,14),(2,13),(3,6),(4,5),(7,12),(8,11),(9,10)]
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]     => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,12),(13,14)]
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]     => [(1,10),(2,9),(3,8),(4,5),(6,7),(11,14),(12,13)]
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]     => [(1,12),(2,9),(3,8),(4,5),(6,7),(10,11),(13,14)]
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]     => [(1,14),(2,9),(3,8),(4,5),(6,7),(10,11),(12,13)]
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]     => [(1,14),(2,9),(3,8),(4,5),(6,7),(10,13),(11,12)]
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]     => [(1,12),(2,11),(3,8),(4,5),(6,7),(9,10),(13,14)]
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]     => [(1,14),(2,11),(3,8),(4,5),(6,7),(9,10),(12,13)]
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]     => [(1,14),(2,13),(3,8),(4,5),(6,7),(9,10),(11,12)]
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]     => [(1,14),(2,13),(3,8),(4,5),(6,7),(9,12),(10,11)]
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]     => [(1,12),(2,11),(3,10),(4,5),(6,7),(8,9),(13,14)]
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]     => [(1,14),(2,11),(3,10),(4,5),(6,7),(8,9),(12,13)]
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]     => [(1,14),(2,13),(3,10),(4,5),(6,7),(8,9),(11,12)]
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,5),(6,7),(8,9),(10,11)]
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,5),(6,7),(8,11),(9,10)]
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]     => [(1,12),(2,11),(3,10),(4,5),(6,9),(7,8),(13,14)]
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]     => [(1,14),(2,11),(3,10),(4,5),(6,9),(7,8),(12,13)]
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]     => [(1,14),(2,13),(3,10),(4,5),(6,9),(7,8),(11,12)]
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,5),(6,9),(7,8),(10,11)]
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,5),(6,11),(7,8),(9,10)]
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9)]
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]     => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,12),(13,14)]
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]     => [(1,10),(2,9),(3,8),(4,7),(5,6),(11,14),(12,13)]
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]     => [(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14)]
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]     => [(1,14),(2,9),(3,8),(4,7),(5,6),(10,11),(12,13)]
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]     => [(1,14),(2,9),(3,8),(4,7),(5,6),(10,13),(11,12)]
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]     => [(1,12),(2,11),(3,8),(4,7),(5,6),(9,10),(13,14)]
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]     => [(1,14),(2,11),(3,8),(4,7),(5,6),(9,10),(12,13)]
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]     => [(1,14),(2,13),(3,8),(4,7),(5,6),(9,10),(11,12)]
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]     => [(1,14),(2,13),(3,8),(4,7),(5,6),(9,12),(10,11)]
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]     => [(1,12),(2,11),(3,10),(4,7),(5,6),(8,9),(13,14)]
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]     => [(1,14),(2,11),(3,10),(4,7),(5,6),(8,9),(12,13)]
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]     => [(1,14),(2,13),(3,10),(4,7),(5,6),(8,9),(11,12)]
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,7),(5,6),(8,9),(10,11)]
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,7),(5,6),(8,11),(9,10)]
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]     => [(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,14)]
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]     => [(1,14),(2,11),(3,10),(4,9),(5,6),(7,8),(12,13)]
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]     => [(1,14),(2,13),(3,10),(4,9),(5,6),(7,8),(11,12)]
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,9),(5,6),(7,8),(10,11)]
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10)]
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9)]
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]     => [(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14)]
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]     => [(1,14),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13)]
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]     => [(1,14),(2,13),(3,10),(4,9),(5,8),(6,7),(11,12)]
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11)]
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10)]
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9)]
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]     => [(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8)]
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15)]
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13),(15,16)]
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,13),(14,15)]
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,15),(13,14)]
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11),(13,14),(15,16)]
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11),(13,16),(14,15)]
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,14),(10,11),(12,13),(15,16)]
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,16),(10,11),(12,13),(14,15)]
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,16),(10,11),(12,15),(13,14)]
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,6),(7,8),(9,14),(10,13),(11,12),(15,16)]
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,16),(10,13),(11,12),(14,15)]
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,12),(13,14)]
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,14),(12,13)]
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12),(13,14),(15,16)]
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12),(13,16),(14,15)]
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,14),(12,13),(15,16)]
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,16),(12,13),(14,15)]
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,10),(8,9),(11,16),(12,15),(13,14)]
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11),(13,14),(15,16)]
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11),(13,16),(14,15)]
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,14),(8,9),(10,11),(12,13),(15,16)]
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,9),(10,11),(12,13),(14,15)]
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,9),(10,11),(12,15),(13,14)]
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,6),(7,14),(8,9),(10,13),(11,12),(15,16)]
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,9),(10,13),(11,12),(14,15)]
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,9),(10,15),(11,12),(13,14)]
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,9),(10,15),(11,14),(12,13)]
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10),(13,14),(15,16)]
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10),(13,16),(14,15)]
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => [(1,2),(3,4),(5,6),(7,14),(8,11),(9,10),(12,13),(15,16)]
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,11),(9,10),(12,13),(14,15)]
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,11),(9,10),(12,15),(13,14)]
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => [(1,2),(3,4),(5,6),(7,14),(8,13),(9,10),(11,12),(15,16)]
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,13),(9,10),(11,12),(14,15)]
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,15),(9,10),(11,12),(13,14)]
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,15),(9,10),(11,14),(12,13)]
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => [(1,2),(3,4),(5,6),(7,14),(8,13),(9,12),(10,11),(15,16)]
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,13),(9,12),(10,11),(14,15)]
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,15),(9,12),(10,11),(13,14)]
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,15),(9,14),(10,11),(12,13)]
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,4),(5,6),(7,16),(8,15),(9,14),(10,13),(11,12)]
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12),(13,14),(15,16)]
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12),(13,16),(14,15)]
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,14),(12,13),(15,16)]
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,16),(12,13),(14,15)]
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,10),(11,16),(12,15),(13,14)]
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11),(13,14),(15,16)]
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11),(13,16),(14,15)]
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,14),(10,11),(12,13),(15,16)]
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,16),(10,11),(12,13),(14,15)]
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,16),(10,11),(12,15),(13,14)]
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,8),(6,7),(9,14),(10,13),(11,12),(15,16)]
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,16),(10,13),(11,12),(14,15)]
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,16),(10,15),(11,12),(13,14)]
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,8),(6,7),(9,16),(10,15),(11,14),(12,13)]
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12),(13,14),(15,16)]
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12),(13,16),(14,15)]
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,14),(12,13),(15,16)]
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,16),(12,13),(14,15)]
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,10),(6,7),(8,9),(11,16),(12,15),(13,14)]
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11),(13,14),(15,16)]
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11),(13,16),(14,15)]
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,14),(6,7),(8,9),(10,11),(12,13),(15,16)]
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)]
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,9),(10,11),(12,15),(13,14)]
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,14),(6,7),(8,9),(10,13),(11,12),(15,16)]
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,9),(10,13),(11,12),(14,15)]
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,9),(10,15),(11,12),(13,14)]
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,9),(10,15),(11,14),(12,13)]
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10),(13,14),(15,16)]
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10),(13,16),(14,15)]
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => [(1,2),(3,4),(5,14),(6,7),(8,11),(9,10),(12,13),(15,16)]
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,11),(9,10),(12,13),(14,15)]
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,11),(9,10),(12,15),(13,14)]
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [(1,2),(3,4),(5,14),(6,7),(8,13),(9,10),(11,12),(15,16)]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,13),(9,10),(11,12),(14,15)]
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,15),(9,10),(11,12),(13,14)]
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,15),(9,10),(11,14),(12,13)]
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => [(1,2),(3,4),(5,14),(6,7),(8,13),(9,12),(10,11),(15,16)]
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,13),(9,12),(10,11),(14,15)]
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,15),(9,12),(10,11),(13,14)]
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,15),(9,14),(10,11),(12,13)]
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => [(1,2),(3,4),(5,16),(6,7),(8,15),(9,14),(10,13),(11,12)]
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12),(13,14),(15,16)]
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12),(13,16),(14,15)]
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,14),(12,13),(15,16)]
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,16),(12,13),(14,15)]
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => [(1,2),(3,4),(5,10),(6,9),(7,8),(11,16),(12,15),(13,14)]
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11),(13,14),(15,16)]
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11),(13,16),(14,15)]
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [(1,2),(3,4),(5,14),(6,9),(7,8),(10,11),(12,13),(15,16)]
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [(1,2),(3,4),(5,16),(6,9),(7,8),(10,11),(12,13),(14,15)]
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [(1,2),(3,4),(5,16),(6,9),(7,8),(10,11),(12,15),(13,14)]
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => [(1,2),(3,4),(5,14),(6,9),(7,8),(10,13),(11,12),(15,16)]
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => [(1,2),(3,4),(5,16),(6,9),(7,8),(10,13),(11,12),(14,15)]
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [(1,2),(3,4),(5,16),(6,9),(7,8),(10,15),(11,12),(13,14)]
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,9),(7,8),(10,15),(11,14),(12,13)]
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10),(13,14),(15,16)]
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10),(13,16),(14,15)]
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [(1,2),(3,4),(5,14),(6,11),(7,8),(9,10),(12,13),(15,16)]
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [(1,2),(3,4),(5,16),(6,11),(7,8),(9,10),(12,13),(14,15)]
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [(1,2),(3,4),(5,16),(6,11),(7,8),(9,10),(12,15),(13,14)]
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [(1,2),(3,4),(5,14),(6,13),(7,8),(9,10),(11,12),(15,16)]
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [(1,2),(3,4),(5,16),(6,13),(7,8),(9,10),(11,12),(14,15)]
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,8),(9,10),(11,12),(13,14)]
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,8),(9,10),(11,14),(12,13)]
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => [(1,2),(3,4),(5,14),(6,13),(7,8),(9,12),(10,11),(15,16)]
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => [(1,2),(3,4),(5,16),(6,13),(7,8),(9,12),(10,11),(14,15)]
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,8),(9,12),(10,11),(13,14)]
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,8),(9,14),(10,11),(12,13)]
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,8),(9,14),(10,13),(11,12)]
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9),(13,14),(15,16)]
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9),(13,16),(14,15)]
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => [(1,2),(3,4),(5,14),(6,11),(7,10),(8,9),(12,13),(15,16)]
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [(1,2),(3,4),(5,16),(6,11),(7,10),(8,9),(12,13),(14,15)]
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => [(1,2),(3,4),(5,16),(6,11),(7,10),(8,9),(12,15),(13,14)]
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => [(1,2),(3,4),(5,14),(6,13),(7,10),(8,9),(11,12),(15,16)]
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [(1,2),(3,4),(5,16),(6,13),(7,10),(8,9),(11,12),(14,15)]
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,10),(8,9),(11,12),(13,14)]
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,10),(8,9),(11,14),(12,13)]
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => [(1,2),(3,4),(5,14),(6,13),(7,12),(8,9),(10,11),(15,16)]
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [(1,2),(3,4),(5,16),(6,13),(7,12),(8,9),(10,11),(14,15)]
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,12),(8,9),(10,11),(13,14)]
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,9),(10,11),(12,13)]
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,9),(10,13),(11,12)]
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => [(1,2),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10),(15,16)]
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => [(1,2),(3,4),(5,16),(6,13),(7,12),(8,11),(9,10),(14,15)]
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,12),(8,11),(9,10),(13,14)]
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)]
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)]
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,2),(3,4),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)]
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,14),(15,16)]
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,16),(14,15)]
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,14),(12,13),(15,16)]
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,16),(12,13),(14,15)]
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,10),(11,16),(12,15),(13,14)]
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11),(13,14),(15,16)]
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,12),(10,11),(13,16),(14,15)]
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,14),(10,11),(12,13),(15,16)]
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,16),(10,11),(12,13),(14,15)]
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,16),(10,11),(12,15),(13,14)]
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [(1,2),(3,6),(4,5),(7,8),(9,14),(10,13),(11,12),(15,16)]
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,16),(10,13),(11,12),(14,15)]
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,16),(10,15),(11,12),(13,14)]
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [(1,2),(3,6),(4,5),(7,8),(9,16),(10,15),(11,14),(12,13)]
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12),(13,14),(15,16)]
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,12),(13,16),(14,15)]
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,14),(12,13),(15,16)]
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,16),(12,13),(14,15)]
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,10),(8,9),(11,16),(12,15),(13,14)]
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11),(13,14),(15,16)]
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,12),(8,9),(10,11),(13,16),(14,15)]
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,14),(8,9),(10,11),(12,13),(15,16)]
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,9),(10,11),(12,13),(14,15)]
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,9),(10,11),(12,15),(13,14)]
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [(1,2),(3,6),(4,5),(7,14),(8,9),(10,13),(11,12),(15,16)]
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,9),(10,13),(11,12),(14,15)]
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,9),(10,15),(11,12),(13,14)]
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,9),(10,15),(11,14),(12,13)]
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10),(13,14),(15,16)]
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [(1,2),(3,6),(4,5),(7,12),(8,11),(9,10),(13,16),(14,15)]
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [(1,2),(3,6),(4,5),(7,14),(8,11),(9,10),(12,13),(15,16)]
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,11),(9,10),(12,13),(14,15)]
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,11),(9,10),(12,15),(13,14)]
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [(1,2),(3,6),(4,5),(7,14),(8,13),(9,10),(11,12),(15,16)]
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,13),(9,10),(11,12),(14,15)]
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,15),(9,10),(11,12),(13,14)]
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,15),(9,10),(11,14),(12,13)]
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [(1,2),(3,6),(4,5),(7,14),(8,13),(9,12),(10,11),(15,16)]
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,13),(9,12),(10,11),(14,15)]
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,15),(9,12),(10,11),(13,14)]
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,15),(9,14),(10,11),(12,13)]
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [(1,2),(3,6),(4,5),(7,16),(8,15),(9,14),(10,13),(11,12)]
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12),(13,14),(15,16)]
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,12),(13,16),(14,15)]
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,14),(12,13),(15,16)]
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,16),(12,13),(14,15)]
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,10),(11,16),(12,15),(13,14)]
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11),(13,14),(15,16)]
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,12),(10,11),(13,16),(14,15)]
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,14),(10,11),(12,13),(15,16)]
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,16),(10,11),(12,13),(14,15)]
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,16),(10,11),(12,15),(13,14)]
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => [(1,2),(3,8),(4,5),(6,7),(9,14),(10,13),(11,12),(15,16)]
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,16),(10,13),(11,12),(14,15)]
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,16),(10,15),(11,12),(13,14)]
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => [(1,2),(3,8),(4,5),(6,7),(9,16),(10,15),(11,14),(12,13)]
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12),(13,14),(15,16)]
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,12),(13,16),(14,15)]
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,14),(12,13),(15,16)]
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,16),(12,13),(14,15)]
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [(1,2),(3,10),(4,5),(6,7),(8,9),(11,16),(12,15),(13,14)]
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11),(13,14),(15,16)]
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [(1,2),(3,12),(4,5),(6,7),(8,9),(10,11),(13,16),(14,15)]
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [(1,2),(3,14),(4,5),(6,7),(8,9),(10,11),(12,13),(15,16)]
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)]
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,9),(10,11),(12,15),(13,14)]
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [(1,2),(3,14),(4,5),(6,7),(8,9),(10,13),(11,12),(15,16)]
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,9),(10,13),(11,12),(14,15)]
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,9),(10,15),(11,12),(13,14)]
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,9),(10,15),(11,14),(12,13)]
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10),(13,14),(15,16)]
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,5),(6,7),(8,11),(9,10),(13,16),(14,15)]
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [(1,2),(3,14),(4,5),(6,7),(8,11),(9,10),(12,13),(15,16)]
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,11),(9,10),(12,13),(14,15)]
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,11),(9,10),(12,15),(13,14)]
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [(1,2),(3,14),(4,5),(6,7),(8,13),(9,10),(11,12),(15,16)]
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,13),(9,10),(11,12),(14,15)]
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,15),(9,10),(11,12),(13,14)]
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,15),(9,10),(11,14),(12,13)]
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [(1,2),(3,14),(4,5),(6,7),(8,13),(9,12),(10,11),(15,16)]
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,13),(9,12),(10,11),(14,15)]
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,15),(9,12),(10,11),(13,14)]
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,15),(9,14),(10,11),(12,13)]
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [(1,2),(3,16),(4,5),(6,7),(8,15),(9,14),(10,13),(11,12)]
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12),(13,14),(15,16)]
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,12),(13,16),(14,15)]
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,14),(12,13),(15,16)]
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,16),(12,13),(14,15)]
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => [(1,2),(3,10),(4,5),(6,9),(7,8),(11,16),(12,15),(13,14)]
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11),(13,14),(15,16)]
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => [(1,2),(3,12),(4,5),(6,9),(7,8),(10,11),(13,16),(14,15)]
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [(1,2),(3,14),(4,5),(6,9),(7,8),(10,11),(12,13),(15,16)]
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [(1,2),(3,16),(4,5),(6,9),(7,8),(10,11),(12,13),(14,15)]
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [(1,2),(3,16),(4,5),(6,9),(7,8),(10,11),(12,15),(13,14)]
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => [(1,2),(3,14),(4,5),(6,9),(7,8),(10,13),(11,12),(15,16)]
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => [(1,2),(3,16),(4,5),(6,9),(7,8),(10,13),(11,12),(14,15)]
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [(1,2),(3,16),(4,5),(6,9),(7,8),(10,15),(11,12),(13,14)]
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => [(1,2),(3,16),(4,5),(6,9),(7,8),(10,15),(11,14),(12,13)]
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10),(13,14),(15,16)]
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,8),(9,10),(13,16),(14,15)]
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => [(1,2),(3,14),(4,5),(6,11),(7,8),(9,10),(12,13),(15,16)]
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => [(1,2),(3,16),(4,5),(6,11),(7,8),(9,10),(12,13),(14,15)]
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => [(1,2),(3,16),(4,5),(6,11),(7,8),(9,10),(12,15),(13,14)]
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [(1,2),(3,14),(4,5),(6,13),(7,8),(9,10),(11,12),(15,16)]
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [(1,2),(3,16),(4,5),(6,13),(7,8),(9,10),(11,12),(14,15)]
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,8),(9,10),(11,12),(13,14)]
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,8),(9,10),(11,14),(12,13)]
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [(1,2),(3,14),(4,5),(6,13),(7,8),(9,12),(10,11),(15,16)]
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [(1,2),(3,16),(4,5),(6,13),(7,8),(9,12),(10,11),(14,15)]
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,8),(9,12),(10,11),(13,14)]
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,8),(9,14),(10,11),(12,13)]
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,8),(9,14),(10,13),(11,12)]
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9),(13,14),(15,16)]
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,5),(6,11),(7,10),(8,9),(13,16),(14,15)]
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => [(1,2),(3,14),(4,5),(6,11),(7,10),(8,9),(12,13),(15,16)]
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [(1,2),(3,16),(4,5),(6,11),(7,10),(8,9),(12,13),(14,15)]
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => [(1,2),(3,16),(4,5),(6,11),(7,10),(8,9),(12,15),(13,14)]
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => [(1,2),(3,14),(4,5),(6,13),(7,10),(8,9),(11,12),(15,16)]
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [(1,2),(3,16),(4,5),(6,13),(7,10),(8,9),(11,12),(14,15)]
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,10),(8,9),(11,12),(13,14)]
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,10),(8,9),(11,14),(12,13)]
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [(1,2),(3,14),(4,5),(6,13),(7,12),(8,9),(10,11),(15,16)]
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => [(1,2),(3,16),(4,5),(6,13),(7,12),(8,9),(10,11),(14,15)]
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,12),(8,9),(10,11),(13,14)]
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,14),(8,9),(10,11),(12,13)]
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,14),(8,9),(10,13),(11,12)]
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => [(1,2),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10),(15,16)]
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => [(1,2),(3,16),(4,5),(6,13),(7,12),(8,11),(9,10),(14,15)]
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,12),(8,11),(9,10),(13,14)]
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,14),(8,11),(9,10),(12,13)]
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,14),(8,13),(9,10),(11,12)]
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => [(1,2),(3,16),(4,5),(6,15),(7,14),(8,13),(9,12),(10,11)]
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12),(13,14),(15,16)]
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,12),(13,16),(14,15)]
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,14),(12,13),(15,16)]
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,16),(12,13),(14,15)]
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,10),(11,16),(12,15),(13,14)]
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11),(13,14),(15,16)]
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,12),(10,11),(13,16),(14,15)]
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,14),(10,11),(12,13),(15,16)]
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,16),(10,11),(12,13),(14,15)]
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,16),(10,11),(12,15),(13,14)]
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [(1,2),(3,8),(4,7),(5,6),(9,14),(10,13),(11,12),(15,16)]
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,16),(10,13),(11,12),(14,15)]
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,16),(10,15),(11,12),(13,14)]
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [(1,2),(3,8),(4,7),(5,6),(9,16),(10,15),(11,14),(12,13)]
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12),(13,14),(15,16)]
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,12),(13,16),(14,15)]
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,14),(12,13),(15,16)]
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,16),(12,13),(14,15)]
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [(1,2),(3,10),(4,7),(5,6),(8,9),(11,16),(12,15),(13,14)]
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11),(13,14),(15,16)]
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [(1,2),(3,12),(4,7),(5,6),(8,9),(10,11),(13,16),(14,15)]
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [(1,2),(3,14),(4,7),(5,6),(8,9),(10,11),(12,13),(15,16)]
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15)]
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,9),(10,11),(12,15),(13,14)]
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [(1,2),(3,14),(4,7),(5,6),(8,9),(10,13),(11,12),(15,16)]
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,9),(10,13),(11,12),(14,15)]
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,9),(10,15),(11,12),(13,14)]
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,9),(10,15),(11,14),(12,13)]
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10),(13,14),(15,16)]
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,7),(5,6),(8,11),(9,10),(13,16),(14,15)]
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [(1,2),(3,14),(4,7),(5,6),(8,11),(9,10),(12,13),(15,16)]
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,11),(9,10),(12,13),(14,15)]
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,11),(9,10),(12,15),(13,14)]
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [(1,2),(3,14),(4,7),(5,6),(8,13),(9,10),(11,12),(15,16)]
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,13),(9,10),(11,12),(14,15)]
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,15),(9,10),(11,12),(13,14)]
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,15),(9,10),(11,14),(12,13)]
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [(1,2),(3,14),(4,7),(5,6),(8,13),(9,12),(10,11),(15,16)]
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,13),(9,12),(10,11),(14,15)]
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,15),(9,12),(10,11),(13,14)]
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,15),(9,14),(10,11),(12,13)]
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => [(1,2),(3,16),(4,7),(5,6),(8,15),(9,14),(10,13),(11,12)]
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12),(13,14),(15,16)]
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,12),(13,16),(14,15)]
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,14),(12,13),(15,16)]
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,16),(12,13),(14,15)]
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => [(1,2),(3,10),(4,9),(5,6),(7,8),(11,16),(12,15),(13,14)]
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11),(13,14),(15,16)]
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [(1,2),(3,12),(4,9),(5,6),(7,8),(10,11),(13,16),(14,15)]
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [(1,2),(3,14),(4,9),(5,6),(7,8),(10,11),(12,13),(15,16)]
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [(1,2),(3,16),(4,9),(5,6),(7,8),(10,11),(12,13),(14,15)]
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [(1,2),(3,16),(4,9),(5,6),(7,8),(10,11),(12,15),(13,14)]
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [(1,2),(3,14),(4,9),(5,6),(7,8),(10,13),(11,12),(15,16)]
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [(1,2),(3,16),(4,9),(5,6),(7,8),(10,13),(11,12),(14,15)]
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [(1,2),(3,16),(4,9),(5,6),(7,8),(10,15),(11,12),(13,14)]
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [(1,2),(3,16),(4,9),(5,6),(7,8),(10,15),(11,14),(12,13)]
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10),(13,14),(15,16)]
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,8),(9,10),(13,16),(14,15)]
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [(1,2),(3,14),(4,11),(5,6),(7,8),(9,10),(12,13),(15,16)]
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [(1,2),(3,16),(4,11),(5,6),(7,8),(9,10),(12,13),(14,15)]
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [(1,2),(3,16),(4,11),(5,6),(7,8),(9,10),(12,15),(13,14)]
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,6),(7,8),(9,10),(11,12),(15,16)]
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,6),(7,8),(9,10),(11,12),(14,15)]
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,8),(9,10),(11,12),(13,14)]
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,8),(9,10),(11,14),(12,13)]
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,6),(7,8),(9,12),(10,11),(15,16)]
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,6),(7,8),(9,12),(10,11),(14,15)]
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,8),(9,12),(10,11),(13,14)]
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,8),(9,14),(10,11),(12,13)]
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,8),(9,14),(10,13),(11,12)]
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9),(13,14),(15,16)]
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,11),(5,6),(7,10),(8,9),(13,16),(14,15)]
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => [(1,2),(3,14),(4,11),(5,6),(7,10),(8,9),(12,13),(15,16)]
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [(1,2),(3,16),(4,11),(5,6),(7,10),(8,9),(12,13),(14,15)]
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => [(1,2),(3,16),(4,11),(5,6),(7,10),(8,9),(12,15),(13,14)]
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,6),(7,10),(8,9),(11,12),(15,16)]
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,6),(7,10),(8,9),(11,12),(14,15)]
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,10),(8,9),(11,12),(13,14)]
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,10),(8,9),(11,14),(12,13)]
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,6),(7,12),(8,9),(10,11),(15,16)]
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,6),(7,12),(8,9),(10,11),(14,15)]
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,12),(8,9),(10,11),(13,14)]
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,14),(8,9),(10,11),(12,13)]
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,14),(8,9),(10,13),(11,12)]
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10),(15,16)]
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,6),(7,12),(8,11),(9,10),(14,15)]
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,12),(8,11),(9,10),(13,14)]
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,14),(8,11),(9,10),(12,13)]
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,14),(8,13),(9,10),(11,12)]
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,6),(7,14),(8,13),(9,12),(10,11)]
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12),(13,14),(15,16)]
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,12),(13,16),(14,15)]
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,14),(12,13),(15,16)]
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,16),(12,13),(14,15)]
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [(1,2),(3,10),(4,9),(5,8),(6,7),(11,16),(12,15),(13,14)]
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11),(13,14),(15,16)]
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [(1,2),(3,12),(4,9),(5,8),(6,7),(10,11),(13,16),(14,15)]
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [(1,2),(3,14),(4,9),(5,8),(6,7),(10,11),(12,13),(15,16)]
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [(1,2),(3,16),(4,9),(5,8),(6,7),(10,11),(12,13),(14,15)]
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [(1,2),(3,16),(4,9),(5,8),(6,7),(10,11),(12,15),(13,14)]
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [(1,2),(3,14),(4,9),(5,8),(6,7),(10,13),(11,12),(15,16)]
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => [(1,2),(3,16),(4,9),(5,8),(6,7),(10,13),(11,12),(14,15)]
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [(1,2),(3,16),(4,9),(5,8),(6,7),(10,15),(11,12),(13,14)]
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => [(1,2),(3,16),(4,9),(5,8),(6,7),(10,15),(11,14),(12,13)]
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10),(13,14),(15,16)]
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,11),(5,8),(6,7),(9,10),(13,16),(14,15)]
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [(1,2),(3,14),(4,11),(5,8),(6,7),(9,10),(12,13),(15,16)]
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [(1,2),(3,16),(4,11),(5,8),(6,7),(9,10),(12,13),(14,15)]
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [(1,2),(3,16),(4,11),(5,8),(6,7),(9,10),(12,15),(13,14)]
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,8),(6,7),(9,10),(11,12),(15,16)]
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,8),(6,7),(9,10),(11,12),(14,15)]
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,8),(6,7),(9,10),(11,12),(13,14)]
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,8),(6,7),(9,10),(11,14),(12,13)]
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,8),(6,7),(9,12),(10,11),(15,16)]
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,8),(6,7),(9,12),(10,11),(14,15)]
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,8),(6,7),(9,12),(10,11),(13,14)]
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,8),(6,7),(9,14),(10,11),(12,13)]
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,8),(6,7),(9,14),(10,13),(11,12)]
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9),(13,14),(15,16)]
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,7),(8,9),(13,16),(14,15)]
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [(1,2),(3,14),(4,11),(5,10),(6,7),(8,9),(12,13),(15,16)]
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [(1,2),(3,16),(4,11),(5,10),(6,7),(8,9),(12,13),(14,15)]
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [(1,2),(3,16),(4,11),(5,10),(6,7),(8,9),(12,15),(13,14)]
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,10),(6,7),(8,9),(11,12),(15,16)]
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,10),(6,7),(8,9),(11,12),(14,15)]
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,10),(6,7),(8,9),(11,12),(13,14)]
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,10),(6,7),(8,9),(11,14),(12,13)]
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11),(15,16)]
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,12),(6,7),(8,9),(10,11),(14,15)]
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,12),(6,7),(8,9),(10,11),(13,14)]
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,7),(8,9),(10,11),(12,13)]
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,7),(8,9),(10,13),(11,12)]
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10),(15,16)]
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,12),(6,7),(8,11),(9,10),(14,15)]
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,12),(6,7),(8,11),(9,10),(13,14)]
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,7),(8,11),(9,10),(12,13)]
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,7),(8,13),(9,10),(11,12)]
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,7),(8,13),(9,12),(10,11)]
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8),(13,14),(15,16)]
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [(1,2),(3,12),(4,11),(5,10),(6,9),(7,8),(13,16),(14,15)]
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [(1,2),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13),(15,16)]
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [(1,2),(3,16),(4,11),(5,10),(6,9),(7,8),(12,13),(14,15)]
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => [(1,2),(3,16),(4,11),(5,10),(6,9),(7,8),(12,15),(13,14)]
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12),(15,16)]
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,10),(6,9),(7,8),(11,12),(14,15)]
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,10),(6,9),(7,8),(11,12),(13,14)]
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,10),(6,9),(7,8),(11,14),(12,13)]
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11),(15,16)]
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,12),(6,9),(7,8),(10,11),(14,15)]
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,12),(6,9),(7,8),(10,11),(13,14)]
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,9),(7,8),(10,11),(12,13)]
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,9),(7,8),(10,13),(11,12)]
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(15,16)]
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,12),(6,11),(7,8),(9,10),(14,15)]
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,12),(6,11),(7,8),(9,10),(13,14)]
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,11),(7,8),(9,10),(12,13)]
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)]
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,12),(10,11)]
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(15,16)]
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => [(1,2),(3,16),(4,13),(5,12),(6,11),(7,10),(8,9),(14,15)]
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => [(1,2),(3,16),(4,15),(5,12),(6,11),(7,10),(8,9),(13,14)]
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,11),(7,10),(8,9),(12,13)]
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)]
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)]
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => [(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)]
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15)]
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,14),(12,13),(15,16)]
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,16),(12,13),(14,15)]
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,10),(11,16),(12,15),(13,14)]
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11),(13,14),(15,16)]
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,12),(10,11),(13,16),(14,15)]
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,14),(10,11),(12,13),(15,16)]
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,16),(10,11),(12,13),(14,15)]
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,16),(10,11),(12,15),(13,14)]
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,6),(7,8),(9,14),(10,13),(11,12),(15,16)]
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,16),(10,13),(11,12),(14,15)]
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,16),(10,15),(11,12),(13,14)]
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,6),(7,8),(9,16),(10,15),(11,14),(12,13)]
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12),(13,14),(15,16)]
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,12),(13,16),(14,15)]
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,14),(12,13),(15,16)]
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,16),(12,13),(14,15)]
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,10),(8,9),(11,16),(12,15),(13,14)]
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11),(13,14),(15,16)]
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,12),(8,9),(10,11),(13,16),(14,15)]
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,14),(8,9),(10,11),(12,13),(15,16)]
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,9),(10,11),(12,13),(14,15)]
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,9),(10,11),(12,15),(13,14)]
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,6),(7,14),(8,9),(10,13),(11,12),(15,16)]
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,9),(10,13),(11,12),(14,15)]
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,9),(10,15),(11,12),(13,14)]
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,9),(10,15),(11,14),(12,13)]
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10),(13,14),(15,16)]
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => [(1,4),(2,3),(5,6),(7,12),(8,11),(9,10),(13,16),(14,15)]
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => [(1,4),(2,3),(5,6),(7,14),(8,11),(9,10),(12,13),(15,16)]
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,11),(9,10),(12,13),(14,15)]
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,11),(9,10),(12,15),(13,14)]
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => [(1,4),(2,3),(5,6),(7,14),(8,13),(9,10),(11,12),(15,16)]
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,13),(9,10),(11,12),(14,15)]
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,15),(9,10),(11,12),(13,14)]
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,15),(9,10),(11,14),(12,13)]
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => [(1,4),(2,3),(5,6),(7,14),(8,13),(9,12),(10,11),(15,16)]
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,13),(9,12),(10,11),(14,15)]
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,15),(9,12),(10,11),(13,14)]
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,15),(9,14),(10,11),(12,13)]
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => [(1,4),(2,3),(5,6),(7,16),(8,15),(9,14),(10,13),(11,12)]
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12),(13,14),(15,16)]
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,12),(13,16),(14,15)]
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,14),(12,13),(15,16)]
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,16),(12,13),(14,15)]
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,10),(11,16),(12,15),(13,14)]
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11),(13,14),(15,16)]
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,12),(10,11),(13,16),(14,15)]
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,14),(10,11),(12,13),(15,16)]
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,16),(10,11),(12,13),(14,15)]
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,16),(10,11),(12,15),(13,14)]
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,8),(6,7),(9,14),(10,13),(11,12),(15,16)]
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,16),(10,13),(11,12),(14,15)]
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,16),(10,15),(11,12),(13,14)]
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,8),(6,7),(9,16),(10,15),(11,14),(12,13)]
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12),(13,14),(15,16)]
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,12),(13,16),(14,15)]
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,14),(12,13),(15,16)]
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,16),(12,13),(14,15)]
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,10),(6,7),(8,9),(11,16),(12,15),(13,14)]
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11),(13,14),(15,16)]
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,12),(6,7),(8,9),(10,11),(13,16),(14,15)]
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => [(1,4),(2,3),(5,14),(6,7),(8,9),(10,11),(12,13),(15,16)]
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)]
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,9),(10,11),(12,15),(13,14)]
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,14),(6,7),(8,9),(10,13),(11,12),(15,16)]
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,9),(10,13),(11,12),(14,15)]
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,9),(10,15),(11,12),(13,14)]
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,9),(10,15),(11,14),(12,13)]
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10),(13,14),(15,16)]
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => [(1,4),(2,3),(5,12),(6,7),(8,11),(9,10),(13,16),(14,15)]
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => [(1,4),(2,3),(5,14),(6,7),(8,11),(9,10),(12,13),(15,16)]
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,11),(9,10),(12,13),(14,15)]
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,11),(9,10),(12,15),(13,14)]
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => [(1,4),(2,3),(5,14),(6,7),(8,13),(9,10),(11,12),(15,16)]
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,13),(9,10),(11,12),(14,15)]
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,15),(9,10),(11,12),(13,14)]
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,15),(9,10),(11,14),(12,13)]
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => [(1,4),(2,3),(5,14),(6,7),(8,13),(9,12),(10,11),(15,16)]
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,13),(9,12),(10,11),(14,15)]
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,15),(9,12),(10,11),(13,14)]
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,15),(9,14),(10,11),(12,13)]
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => [(1,4),(2,3),(5,16),(6,7),(8,15),(9,14),(10,13),(11,12)]
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12),(13,14),(15,16)]
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,12),(13,16),(14,15)]
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,14),(12,13),(15,16)]
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,16),(12,13),(14,15)]
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => [(1,4),(2,3),(5,10),(6,9),(7,8),(11,16),(12,15),(13,14)]
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11),(13,14),(15,16)]
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => [(1,4),(2,3),(5,12),(6,9),(7,8),(10,11),(13,16),(14,15)]
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => [(1,4),(2,3),(5,14),(6,9),(7,8),(10,11),(12,13),(15,16)]
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [(1,4),(2,3),(5,16),(6,9),(7,8),(10,11),(12,13),(14,15)]
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => [(1,4),(2,3),(5,16),(6,9),(7,8),(10,11),(12,15),(13,14)]
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => [(1,4),(2,3),(5,14),(6,9),(7,8),(10,13),(11,12),(15,16)]
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => [(1,4),(2,3),(5,16),(6,9),(7,8),(10,13),(11,12),(14,15)]
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => [(1,4),(2,3),(5,16),(6,9),(7,8),(10,15),(11,12),(13,14)]
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,9),(7,8),(10,15),(11,14),(12,13)]
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10),(13,14),(15,16)]
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,8),(9,10),(13,16),(14,15)]
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => [(1,4),(2,3),(5,14),(6,11),(7,8),(9,10),(12,13),(15,16)]
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => [(1,4),(2,3),(5,16),(6,11),(7,8),(9,10),(12,13),(14,15)]
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => [(1,4),(2,3),(5,16),(6,11),(7,8),(9,10),(12,15),(13,14)]
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => [(1,4),(2,3),(5,14),(6,13),(7,8),(9,10),(11,12),(15,16)]
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => [(1,4),(2,3),(5,16),(6,13),(7,8),(9,10),(11,12),(14,15)]
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,8),(9,10),(11,12),(13,14)]
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,8),(9,10),(11,14),(12,13)]
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => [(1,4),(2,3),(5,14),(6,13),(7,8),(9,12),(10,11),(15,16)]
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => [(1,4),(2,3),(5,16),(6,13),(7,8),(9,12),(10,11),(14,15)]
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,8),(9,12),(10,11),(13,14)]
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,8),(9,14),(10,11),(12,13)]
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,8),(9,14),(10,13),(11,12)]
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9),(13,14),(15,16)]
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => [(1,4),(2,3),(5,12),(6,11),(7,10),(8,9),(13,16),(14,15)]
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => [(1,4),(2,3),(5,14),(6,11),(7,10),(8,9),(12,13),(15,16)]
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => [(1,4),(2,3),(5,16),(6,11),(7,10),(8,9),(12,13),(14,15)]
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => [(1,4),(2,3),(5,16),(6,11),(7,10),(8,9),(12,15),(13,14)]
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => [(1,4),(2,3),(5,14),(6,13),(7,10),(8,9),(11,12),(15,16)]
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => [(1,4),(2,3),(5,16),(6,13),(7,10),(8,9),(11,12),(14,15)]
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,10),(8,9),(11,12),(13,14)]
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,10),(8,9),(11,14),(12,13)]
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => [(1,4),(2,3),(5,14),(6,13),(7,12),(8,9),(10,11),(15,16)]
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => [(1,4),(2,3),(5,16),(6,13),(7,12),(8,9),(10,11),(14,15)]
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,12),(8,9),(10,11),(13,14)]
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,9),(10,11),(12,13)]
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,9),(10,13),(11,12)]
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => [(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10),(15,16)]
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => [(1,4),(2,3),(5,16),(6,13),(7,12),(8,11),(9,10),(14,15)]
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,12),(8,11),(9,10),(13,14)]
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)]
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)]
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => [(1,4),(2,3),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)]
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,14),(15,16)]
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,12),(13,16),(14,15)]
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,14),(12,13),(15,16)]
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,16),(12,13),(14,15)]
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,10),(11,16),(12,15),(13,14)]
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11),(13,14),(15,16)]
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,12),(10,11),(13,16),(14,15)]
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,14),(10,11),(12,13),(15,16)]
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,16),(10,11),(12,13),(14,15)]
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,16),(10,11),(12,15),(13,14)]
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => [(1,6),(2,3),(4,5),(7,8),(9,14),(10,13),(11,12),(15,16)]
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,16),(10,13),(11,12),(14,15)]
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,16),(10,15),(11,12),(13,14)]
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => [(1,6),(2,3),(4,5),(7,8),(9,16),(10,15),(11,14),(12,13)]

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Created: Jan 29, 2020 at 13:27 by FindStatCrew

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Last Updated: Jan 29, 2020 at 13:27 by Martin Rubey