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Statistic identifier: St000843
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Collection: Perfect matchings
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Description: The decomposition number of a perfect matching.
This is the number of integers $i$ such that all elements in $\{1,\dots,i\}$ are matched among themselves.
Visually, it is the number of components of the arc diagram of the matching, where a component is a matching of a set of consecutive numbers $\{a,a+1,\dots,b\}$ such that there is no arc matching a number smaller than $a$ with a number larger than $b$.
E.g., $\{(1,6),(2,4),(3,5)\}$ is a hairpin under a single edge - crossing nested by a single arc. Thus, this matching has one component. However, $\{(1,2),(3,6),(4,5)\}$ is a single edge to the left of a ladder (a pair of nested edges), so it has two components.
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References:
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Code:
def statistic(pi):
blocks = sorted(sorted(b) for b in pi)
k = 0
u = []
for b in blocks:
u.extend(b)
if sorted(u)[-1] == len(u):
k += 1
return k
-----------------------------------------------------------------------------
Statistic values:
[(1,2)] => 1
[(1,2),(3,4)] => 2
[(1,3),(2,4)] => 1
[(1,4),(2,3)] => 1
[(1,2),(3,4),(5,6)] => 3
[(1,3),(2,4),(5,6)] => 2
[(1,4),(2,3),(5,6)] => 2
[(1,5),(2,3),(4,6)] => 1
[(1,6),(2,3),(4,5)] => 1
[(1,6),(2,4),(3,5)] => 1
[(1,5),(2,4),(3,6)] => 1
[(1,4),(2,5),(3,6)] => 1
[(1,3),(2,5),(4,6)] => 1
[(1,2),(3,5),(4,6)] => 2
[(1,2),(3,6),(4,5)] => 2
[(1,3),(2,6),(4,5)] => 1
[(1,4),(2,6),(3,5)] => 1
[(1,5),(2,6),(3,4)] => 1
[(1,6),(2,5),(3,4)] => 1
[(1,2),(3,4),(5,6),(7,8)] => 4
[(1,3),(2,4),(5,6),(7,8)] => 3
[(1,4),(2,3),(5,6),(7,8)] => 3
[(1,5),(2,3),(4,6),(7,8)] => 2
[(1,6),(2,3),(4,5),(7,8)] => 2
[(1,7),(2,3),(4,5),(6,8)] => 1
[(1,8),(2,3),(4,5),(6,7)] => 1
[(1,8),(2,4),(3,5),(6,7)] => 1
[(1,7),(2,4),(3,5),(6,8)] => 1
[(1,6),(2,4),(3,5),(7,8)] => 2
[(1,5),(2,4),(3,6),(7,8)] => 2
[(1,4),(2,5),(3,6),(7,8)] => 2
[(1,3),(2,5),(4,6),(7,8)] => 2
[(1,2),(3,5),(4,6),(7,8)] => 3
[(1,2),(3,6),(4,5),(7,8)] => 3
[(1,3),(2,6),(4,5),(7,8)] => 2
[(1,4),(2,6),(3,5),(7,8)] => 2
[(1,5),(2,6),(3,4),(7,8)] => 2
[(1,6),(2,5),(3,4),(7,8)] => 2
[(1,7),(2,5),(3,4),(6,8)] => 1
[(1,8),(2,5),(3,4),(6,7)] => 1
[(1,8),(2,6),(3,4),(5,7)] => 1
[(1,7),(2,6),(3,4),(5,8)] => 1
[(1,6),(2,7),(3,4),(5,8)] => 1
[(1,5),(2,7),(3,4),(6,8)] => 1
[(1,4),(2,7),(3,5),(6,8)] => 1
[(1,3),(2,7),(4,5),(6,8)] => 1
[(1,2),(3,7),(4,5),(6,8)] => 2
[(1,2),(3,8),(4,5),(6,7)] => 2
[(1,3),(2,8),(4,5),(6,7)] => 1
[(1,4),(2,8),(3,5),(6,7)] => 1
[(1,5),(2,8),(3,4),(6,7)] => 1
[(1,6),(2,8),(3,4),(5,7)] => 1
[(1,7),(2,8),(3,4),(5,6)] => 1
[(1,8),(2,7),(3,4),(5,6)] => 1
[(1,8),(2,7),(3,5),(4,6)] => 1
[(1,7),(2,8),(3,5),(4,6)] => 1
[(1,6),(2,8),(3,5),(4,7)] => 1
[(1,5),(2,8),(3,6),(4,7)] => 1
[(1,4),(2,8),(3,6),(5,7)] => 1
[(1,3),(2,8),(4,6),(5,7)] => 1
[(1,2),(3,8),(4,6),(5,7)] => 2
[(1,2),(3,7),(4,6),(5,8)] => 2
[(1,3),(2,7),(4,6),(5,8)] => 1
[(1,4),(2,7),(3,6),(5,8)] => 1
[(1,5),(2,7),(3,6),(4,8)] => 1
[(1,6),(2,7),(3,5),(4,8)] => 1
[(1,7),(2,6),(3,5),(4,8)] => 1
[(1,8),(2,6),(3,5),(4,7)] => 1
[(1,8),(2,5),(3,6),(4,7)] => 1
[(1,7),(2,5),(3,6),(4,8)] => 1
[(1,6),(2,5),(3,7),(4,8)] => 1
[(1,5),(2,6),(3,7),(4,8)] => 1
[(1,4),(2,6),(3,7),(5,8)] => 1
[(1,3),(2,6),(4,7),(5,8)] => 1
[(1,2),(3,6),(4,7),(5,8)] => 2
[(1,2),(3,5),(4,7),(6,8)] => 2
[(1,3),(2,5),(4,7),(6,8)] => 1
[(1,4),(2,5),(3,7),(6,8)] => 1
[(1,5),(2,4),(3,7),(6,8)] => 1
[(1,6),(2,4),(3,7),(5,8)] => 1
[(1,7),(2,4),(3,6),(5,8)] => 1
[(1,8),(2,4),(3,6),(5,7)] => 1
[(1,8),(2,3),(4,6),(5,7)] => 1
[(1,7),(2,3),(4,6),(5,8)] => 1
[(1,6),(2,3),(4,7),(5,8)] => 1
[(1,5),(2,3),(4,7),(6,8)] => 1
[(1,4),(2,3),(5,7),(6,8)] => 2
[(1,3),(2,4),(5,7),(6,8)] => 2
[(1,2),(3,4),(5,7),(6,8)] => 3
[(1,2),(3,4),(5,8),(6,7)] => 3
[(1,3),(2,4),(5,8),(6,7)] => 2
[(1,4),(2,3),(5,8),(6,7)] => 2
[(1,5),(2,3),(4,8),(6,7)] => 1
[(1,6),(2,3),(4,8),(5,7)] => 1
[(1,7),(2,3),(4,8),(5,6)] => 1
[(1,8),(2,3),(4,7),(5,6)] => 1
[(1,8),(2,4),(3,7),(5,6)] => 1
[(1,7),(2,4),(3,8),(5,6)] => 1
[(1,6),(2,4),(3,8),(5,7)] => 1
[(1,5),(2,4),(3,8),(6,7)] => 1
[(1,4),(2,5),(3,8),(6,7)] => 1
[(1,3),(2,5),(4,8),(6,7)] => 1
[(1,2),(3,5),(4,8),(6,7)] => 2
[(1,2),(3,6),(4,8),(5,7)] => 2
[(1,3),(2,6),(4,8),(5,7)] => 1
[(1,4),(2,6),(3,8),(5,7)] => 1
[(1,5),(2,6),(3,8),(4,7)] => 1
[(1,6),(2,5),(3,8),(4,7)] => 1
[(1,7),(2,5),(3,8),(4,6)] => 1
[(1,8),(2,5),(3,7),(4,6)] => 1
[(1,8),(2,6),(3,7),(4,5)] => 1
[(1,7),(2,6),(3,8),(4,5)] => 1
[(1,6),(2,7),(3,8),(4,5)] => 1
[(1,5),(2,7),(3,8),(4,6)] => 1
[(1,4),(2,7),(3,8),(5,6)] => 1
[(1,3),(2,7),(4,8),(5,6)] => 1
[(1,2),(3,7),(4,8),(5,6)] => 2
[(1,2),(3,8),(4,7),(5,6)] => 2
[(1,3),(2,8),(4,7),(5,6)] => 1
[(1,4),(2,8),(3,7),(5,6)] => 1
[(1,5),(2,8),(3,7),(4,6)] => 1
[(1,6),(2,8),(3,7),(4,5)] => 1
[(1,7),(2,8),(3,6),(4,5)] => 1
[(1,8),(2,7),(3,6),(4,5)] => 1
[(1,2),(3,4),(5,6),(7,8),(9,10)] => 5
[(1,3),(2,4),(5,6),(7,8),(9,10)] => 4
[(1,4),(2,3),(5,6),(7,8),(9,10)] => 4
[(1,5),(2,3),(4,6),(7,8),(9,10)] => 3
[(1,6),(2,3),(4,5),(7,8),(9,10)] => 3
[(1,7),(2,3),(4,5),(6,8),(9,10)] => 2
[(1,8),(2,3),(4,5),(6,7),(9,10)] => 2
[(1,9),(2,3),(4,5),(6,7),(8,10)] => 1
[(1,10),(2,3),(4,5),(6,7),(8,9)] => 1
[(1,10),(2,4),(3,5),(6,7),(8,9)] => 1
[(1,9),(2,4),(3,5),(6,7),(8,10)] => 1
[(1,8),(2,4),(3,5),(6,7),(9,10)] => 2
[(1,7),(2,4),(3,5),(6,8),(9,10)] => 2
[(1,6),(2,4),(3,5),(7,8),(9,10)] => 3
[(1,5),(2,4),(3,6),(7,8),(9,10)] => 3
[(1,4),(2,5),(3,6),(7,8),(9,10)] => 3
[(1,3),(2,5),(4,6),(7,8),(9,10)] => 3
[(1,2),(3,5),(4,6),(7,8),(9,10)] => 4
[(1,2),(3,6),(4,5),(7,8),(9,10)] => 4
[(1,3),(2,6),(4,5),(7,8),(9,10)] => 3
[(1,4),(2,6),(3,5),(7,8),(9,10)] => 3
[(1,5),(2,6),(3,4),(7,8),(9,10)] => 3
[(1,6),(2,5),(3,4),(7,8),(9,10)] => 3
[(1,7),(2,5),(3,4),(6,8),(9,10)] => 2
[(1,8),(2,5),(3,4),(6,7),(9,10)] => 2
[(1,9),(2,5),(3,4),(6,7),(8,10)] => 1
[(1,10),(2,5),(3,4),(6,7),(8,9)] => 1
[(1,10),(2,6),(3,4),(5,7),(8,9)] => 1
[(1,9),(2,6),(3,4),(5,7),(8,10)] => 1
[(1,8),(2,6),(3,4),(5,7),(9,10)] => 2
[(1,7),(2,6),(3,4),(5,8),(9,10)] => 2
[(1,6),(2,7),(3,4),(5,8),(9,10)] => 2
[(1,5),(2,7),(3,4),(6,8),(9,10)] => 2
[(1,4),(2,7),(3,5),(6,8),(9,10)] => 2
[(1,3),(2,7),(4,5),(6,8),(9,10)] => 2
[(1,2),(3,7),(4,5),(6,8),(9,10)] => 3
[(1,2),(3,8),(4,5),(6,7),(9,10)] => 3
[(1,3),(2,8),(4,5),(6,7),(9,10)] => 2
[(1,4),(2,8),(3,5),(6,7),(9,10)] => 2
[(1,5),(2,8),(3,4),(6,7),(9,10)] => 2
[(1,6),(2,8),(3,4),(5,7),(9,10)] => 2
[(1,7),(2,8),(3,4),(5,6),(9,10)] => 2
[(1,8),(2,7),(3,4),(5,6),(9,10)] => 2
[(1,9),(2,7),(3,4),(5,6),(8,10)] => 1
[(1,10),(2,7),(3,4),(5,6),(8,9)] => 1
[(1,10),(2,8),(3,4),(5,6),(7,9)] => 1
[(1,9),(2,8),(3,4),(5,6),(7,10)] => 1
[(1,8),(2,9),(3,4),(5,6),(7,10)] => 1
[(1,7),(2,9),(3,4),(5,6),(8,10)] => 1
[(1,6),(2,9),(3,4),(5,7),(8,10)] => 1
[(1,5),(2,9),(3,4),(6,7),(8,10)] => 1
[(1,4),(2,9),(3,5),(6,7),(8,10)] => 1
[(1,3),(2,9),(4,5),(6,7),(8,10)] => 1
[(1,2),(3,9),(4,5),(6,7),(8,10)] => 2
[(1,2),(3,10),(4,5),(6,7),(8,9)] => 2
[(1,3),(2,10),(4,5),(6,7),(8,9)] => 1
[(1,4),(2,10),(3,5),(6,7),(8,9)] => 1
[(1,5),(2,10),(3,4),(6,7),(8,9)] => 1
[(1,6),(2,10),(3,4),(5,7),(8,9)] => 1
[(1,7),(2,10),(3,4),(5,6),(8,9)] => 1
[(1,8),(2,10),(3,4),(5,6),(7,9)] => 1
[(1,9),(2,10),(3,4),(5,6),(7,8)] => 1
[(1,10),(2,9),(3,4),(5,6),(7,8)] => 1
[(1,10),(2,9),(3,5),(4,6),(7,8)] => 1
[(1,9),(2,10),(3,5),(4,6),(7,8)] => 1
[(1,8),(2,10),(3,5),(4,6),(7,9)] => 1
[(1,7),(2,10),(3,5),(4,6),(8,9)] => 1
[(1,6),(2,10),(3,5),(4,7),(8,9)] => 1
[(1,5),(2,10),(3,6),(4,7),(8,9)] => 1
[(1,4),(2,10),(3,6),(5,7),(8,9)] => 1
[(1,3),(2,10),(4,6),(5,7),(8,9)] => 1
[(1,2),(3,10),(4,6),(5,7),(8,9)] => 2
[(1,2),(3,9),(4,6),(5,7),(8,10)] => 2
[(1,3),(2,9),(4,6),(5,7),(8,10)] => 1
[(1,4),(2,9),(3,6),(5,7),(8,10)] => 1
[(1,5),(2,9),(3,6),(4,7),(8,10)] => 1
[(1,6),(2,9),(3,5),(4,7),(8,10)] => 1
[(1,7),(2,9),(3,5),(4,6),(8,10)] => 1
[(1,8),(2,9),(3,5),(4,6),(7,10)] => 1
[(1,9),(2,8),(3,5),(4,6),(7,10)] => 1
[(1,10),(2,8),(3,5),(4,6),(7,9)] => 1
[(1,10),(2,7),(3,5),(4,6),(8,9)] => 1
[(1,9),(2,7),(3,5),(4,6),(8,10)] => 1
[(1,8),(2,7),(3,5),(4,6),(9,10)] => 2
[(1,7),(2,8),(3,5),(4,6),(9,10)] => 2
[(1,6),(2,8),(3,5),(4,7),(9,10)] => 2
[(1,5),(2,8),(3,6),(4,7),(9,10)] => 2
[(1,4),(2,8),(3,6),(5,7),(9,10)] => 2
[(1,3),(2,8),(4,6),(5,7),(9,10)] => 2
[(1,2),(3,8),(4,6),(5,7),(9,10)] => 3
[(1,2),(3,7),(4,6),(5,8),(9,10)] => 3
[(1,3),(2,7),(4,6),(5,8),(9,10)] => 2
[(1,4),(2,7),(3,6),(5,8),(9,10)] => 2
[(1,5),(2,7),(3,6),(4,8),(9,10)] => 2
[(1,6),(2,7),(3,5),(4,8),(9,10)] => 2
[(1,7),(2,6),(3,5),(4,8),(9,10)] => 2
[(1,8),(2,6),(3,5),(4,7),(9,10)] => 2
[(1,9),(2,6),(3,5),(4,7),(8,10)] => 1
[(1,10),(2,6),(3,5),(4,7),(8,9)] => 1
[(1,10),(2,5),(3,6),(4,7),(8,9)] => 1
[(1,9),(2,5),(3,6),(4,7),(8,10)] => 1
[(1,8),(2,5),(3,6),(4,7),(9,10)] => 2
[(1,7),(2,5),(3,6),(4,8),(9,10)] => 2
[(1,6),(2,5),(3,7),(4,8),(9,10)] => 2
[(1,5),(2,6),(3,7),(4,8),(9,10)] => 2
[(1,4),(2,6),(3,7),(5,8),(9,10)] => 2
[(1,3),(2,6),(4,7),(5,8),(9,10)] => 2
[(1,2),(3,6),(4,7),(5,8),(9,10)] => 3
[(1,2),(3,5),(4,7),(6,8),(9,10)] => 3
[(1,3),(2,5),(4,7),(6,8),(9,10)] => 2
[(1,4),(2,5),(3,7),(6,8),(9,10)] => 2
[(1,5),(2,4),(3,7),(6,8),(9,10)] => 2
[(1,6),(2,4),(3,7),(5,8),(9,10)] => 2
[(1,7),(2,4),(3,6),(5,8),(9,10)] => 2
[(1,8),(2,4),(3,6),(5,7),(9,10)] => 2
[(1,9),(2,4),(3,6),(5,7),(8,10)] => 1
[(1,10),(2,4),(3,6),(5,7),(8,9)] => 1
[(1,10),(2,3),(4,6),(5,7),(8,9)] => 1
[(1,9),(2,3),(4,6),(5,7),(8,10)] => 1
[(1,8),(2,3),(4,6),(5,7),(9,10)] => 2
[(1,7),(2,3),(4,6),(5,8),(9,10)] => 2
[(1,6),(2,3),(4,7),(5,8),(9,10)] => 2
[(1,5),(2,3),(4,7),(6,8),(9,10)] => 2
[(1,4),(2,3),(5,7),(6,8),(9,10)] => 3
[(1,3),(2,4),(5,7),(6,8),(9,10)] => 3
[(1,2),(3,4),(5,7),(6,8),(9,10)] => 4
[(1,2),(3,4),(5,8),(6,7),(9,10)] => 4
[(1,3),(2,4),(5,8),(6,7),(9,10)] => 3
[(1,4),(2,3),(5,8),(6,7),(9,10)] => 3
[(1,5),(2,3),(4,8),(6,7),(9,10)] => 2
[(1,6),(2,3),(4,8),(5,7),(9,10)] => 2
[(1,7),(2,3),(4,8),(5,6),(9,10)] => 2
[(1,8),(2,3),(4,7),(5,6),(9,10)] => 2
[(1,9),(2,3),(4,7),(5,6),(8,10)] => 1
[(1,10),(2,3),(4,7),(5,6),(8,9)] => 1
[(1,10),(2,4),(3,7),(5,6),(8,9)] => 1
[(1,9),(2,4),(3,7),(5,6),(8,10)] => 1
[(1,8),(2,4),(3,7),(5,6),(9,10)] => 2
[(1,7),(2,4),(3,8),(5,6),(9,10)] => 2
[(1,6),(2,4),(3,8),(5,7),(9,10)] => 2
[(1,5),(2,4),(3,8),(6,7),(9,10)] => 2
[(1,4),(2,5),(3,8),(6,7),(9,10)] => 2
[(1,3),(2,5),(4,8),(6,7),(9,10)] => 2
[(1,2),(3,5),(4,8),(6,7),(9,10)] => 3
[(1,2),(3,6),(4,8),(5,7),(9,10)] => 3
[(1,3),(2,6),(4,8),(5,7),(9,10)] => 2
[(1,4),(2,6),(3,8),(5,7),(9,10)] => 2
[(1,5),(2,6),(3,8),(4,7),(9,10)] => 2
[(1,6),(2,5),(3,8),(4,7),(9,10)] => 2
[(1,7),(2,5),(3,8),(4,6),(9,10)] => 2
[(1,8),(2,5),(3,7),(4,6),(9,10)] => 2
[(1,9),(2,5),(3,7),(4,6),(8,10)] => 1
[(1,10),(2,5),(3,7),(4,6),(8,9)] => 1
[(1,10),(2,6),(3,7),(4,5),(8,9)] => 1
[(1,9),(2,6),(3,7),(4,5),(8,10)] => 1
[(1,8),(2,6),(3,7),(4,5),(9,10)] => 2
[(1,7),(2,6),(3,8),(4,5),(9,10)] => 2
[(1,6),(2,7),(3,8),(4,5),(9,10)] => 2
[(1,5),(2,7),(3,8),(4,6),(9,10)] => 2
[(1,4),(2,7),(3,8),(5,6),(9,10)] => 2
[(1,3),(2,7),(4,8),(5,6),(9,10)] => 2
[(1,2),(3,7),(4,8),(5,6),(9,10)] => 3
[(1,2),(3,8),(4,7),(5,6),(9,10)] => 3
[(1,3),(2,8),(4,7),(5,6),(9,10)] => 2
[(1,4),(2,8),(3,7),(5,6),(9,10)] => 2
[(1,5),(2,8),(3,7),(4,6),(9,10)] => 2
[(1,6),(2,8),(3,7),(4,5),(9,10)] => 2
[(1,7),(2,8),(3,6),(4,5),(9,10)] => 2
[(1,8),(2,7),(3,6),(4,5),(9,10)] => 2
[(1,9),(2,7),(3,6),(4,5),(8,10)] => 1
[(1,10),(2,7),(3,6),(4,5),(8,9)] => 1
[(1,10),(2,8),(3,6),(4,5),(7,9)] => 1
[(1,9),(2,8),(3,6),(4,5),(7,10)] => 1
[(1,8),(2,9),(3,6),(4,5),(7,10)] => 1
[(1,7),(2,9),(3,6),(4,5),(8,10)] => 1
[(1,6),(2,9),(3,7),(4,5),(8,10)] => 1
[(1,5),(2,9),(3,7),(4,6),(8,10)] => 1
[(1,4),(2,9),(3,7),(5,6),(8,10)] => 1
[(1,3),(2,9),(4,7),(5,6),(8,10)] => 1
[(1,2),(3,9),(4,7),(5,6),(8,10)] => 2
[(1,2),(3,10),(4,7),(5,6),(8,9)] => 2
[(1,3),(2,10),(4,7),(5,6),(8,9)] => 1
[(1,4),(2,10),(3,7),(5,6),(8,9)] => 1
[(1,5),(2,10),(3,7),(4,6),(8,9)] => 1
[(1,6),(2,10),(3,7),(4,5),(8,9)] => 1
[(1,7),(2,10),(3,6),(4,5),(8,9)] => 1
[(1,8),(2,10),(3,6),(4,5),(7,9)] => 1
[(1,9),(2,10),(3,6),(4,5),(7,8)] => 1
[(1,10),(2,9),(3,6),(4,5),(7,8)] => 1
[(1,10),(2,9),(3,7),(4,5),(6,8)] => 1
[(1,9),(2,10),(3,7),(4,5),(6,8)] => 1
[(1,8),(2,10),(3,7),(4,5),(6,9)] => 1
[(1,7),(2,10),(3,8),(4,5),(6,9)] => 1
[(1,6),(2,10),(3,8),(4,5),(7,9)] => 1
[(1,5),(2,10),(3,8),(4,6),(7,9)] => 1
[(1,4),(2,10),(3,8),(5,6),(7,9)] => 1
[(1,3),(2,10),(4,8),(5,6),(7,9)] => 1
[(1,2),(3,10),(4,8),(5,6),(7,9)] => 2
[(1,2),(3,9),(4,8),(5,6),(7,10)] => 2
[(1,3),(2,9),(4,8),(5,6),(7,10)] => 1
[(1,4),(2,9),(3,8),(5,6),(7,10)] => 1
[(1,5),(2,9),(3,8),(4,6),(7,10)] => 1
[(1,6),(2,9),(3,8),(4,5),(7,10)] => 1
[(1,7),(2,9),(3,8),(4,5),(6,10)] => 1
[(1,8),(2,9),(3,7),(4,5),(6,10)] => 1
[(1,9),(2,8),(3,7),(4,5),(6,10)] => 1
[(1,10),(2,8),(3,7),(4,5),(6,9)] => 1
[(1,10),(2,7),(3,8),(4,5),(6,9)] => 1
[(1,9),(2,7),(3,8),(4,5),(6,10)] => 1
[(1,8),(2,7),(3,9),(4,5),(6,10)] => 1
[(1,7),(2,8),(3,9),(4,5),(6,10)] => 1
[(1,6),(2,8),(3,9),(4,5),(7,10)] => 1
[(1,5),(2,8),(3,9),(4,6),(7,10)] => 1
[(1,4),(2,8),(3,9),(5,6),(7,10)] => 1
[(1,3),(2,8),(4,9),(5,6),(7,10)] => 1
[(1,2),(3,8),(4,9),(5,6),(7,10)] => 2
[(1,2),(3,7),(4,9),(5,6),(8,10)] => 2
[(1,3),(2,7),(4,9),(5,6),(8,10)] => 1
[(1,4),(2,7),(3,9),(5,6),(8,10)] => 1
[(1,5),(2,7),(3,9),(4,6),(8,10)] => 1
[(1,6),(2,7),(3,9),(4,5),(8,10)] => 1
[(1,7),(2,6),(3,9),(4,5),(8,10)] => 1
[(1,8),(2,6),(3,9),(4,5),(7,10)] => 1
[(1,9),(2,6),(3,8),(4,5),(7,10)] => 1
[(1,10),(2,6),(3,8),(4,5),(7,9)] => 1
[(1,10),(2,5),(3,8),(4,6),(7,9)] => 1
[(1,9),(2,5),(3,8),(4,6),(7,10)] => 1
[(1,8),(2,5),(3,9),(4,6),(7,10)] => 1
[(1,7),(2,5),(3,9),(4,6),(8,10)] => 1
[(1,6),(2,5),(3,9),(4,7),(8,10)] => 1
[(1,5),(2,6),(3,9),(4,7),(8,10)] => 1
[(1,4),(2,6),(3,9),(5,7),(8,10)] => 1
[(1,3),(2,6),(4,9),(5,7),(8,10)] => 1
[(1,2),(3,6),(4,9),(5,7),(8,10)] => 2
[(1,2),(3,5),(4,9),(6,7),(8,10)] => 2
[(1,3),(2,5),(4,9),(6,7),(8,10)] => 1
[(1,4),(2,5),(3,9),(6,7),(8,10)] => 1
[(1,5),(2,4),(3,9),(6,7),(8,10)] => 1
[(1,6),(2,4),(3,9),(5,7),(8,10)] => 1
[(1,7),(2,4),(3,9),(5,6),(8,10)] => 1
[(1,8),(2,4),(3,9),(5,6),(7,10)] => 1
[(1,9),(2,4),(3,8),(5,6),(7,10)] => 1
[(1,10),(2,4),(3,8),(5,6),(7,9)] => 1
[(1,10),(2,3),(4,8),(5,6),(7,9)] => 1
[(1,9),(2,3),(4,8),(5,6),(7,10)] => 1
[(1,8),(2,3),(4,9),(5,6),(7,10)] => 1
[(1,7),(2,3),(4,9),(5,6),(8,10)] => 1
[(1,6),(2,3),(4,9),(5,7),(8,10)] => 1
[(1,5),(2,3),(4,9),(6,7),(8,10)] => 1
[(1,4),(2,3),(5,9),(6,7),(8,10)] => 2
[(1,3),(2,4),(5,9),(6,7),(8,10)] => 2
[(1,2),(3,4),(5,9),(6,7),(8,10)] => 3
[(1,2),(3,4),(5,10),(6,7),(8,9)] => 3
[(1,3),(2,4),(5,10),(6,7),(8,9)] => 2
[(1,4),(2,3),(5,10),(6,7),(8,9)] => 2
[(1,5),(2,3),(4,10),(6,7),(8,9)] => 1
[(1,6),(2,3),(4,10),(5,7),(8,9)] => 1
[(1,7),(2,3),(4,10),(5,6),(8,9)] => 1
[(1,8),(2,3),(4,10),(5,6),(7,9)] => 1
[(1,9),(2,3),(4,10),(5,6),(7,8)] => 1
[(1,10),(2,3),(4,9),(5,6),(7,8)] => 1
[(1,10),(2,4),(3,9),(5,6),(7,8)] => 1
[(1,9),(2,4),(3,10),(5,6),(7,8)] => 1
[(1,8),(2,4),(3,10),(5,6),(7,9)] => 1
[(1,7),(2,4),(3,10),(5,6),(8,9)] => 1
[(1,6),(2,4),(3,10),(5,7),(8,9)] => 1
[(1,5),(2,4),(3,10),(6,7),(8,9)] => 1
[(1,4),(2,5),(3,10),(6,7),(8,9)] => 1
[(1,3),(2,5),(4,10),(6,7),(8,9)] => 1
[(1,2),(3,5),(4,10),(6,7),(8,9)] => 2
[(1,2),(3,6),(4,10),(5,7),(8,9)] => 2
[(1,3),(2,6),(4,10),(5,7),(8,9)] => 1
[(1,4),(2,6),(3,10),(5,7),(8,9)] => 1
[(1,5),(2,6),(3,10),(4,7),(8,9)] => 1
[(1,6),(2,5),(3,10),(4,7),(8,9)] => 1
[(1,7),(2,5),(3,10),(4,6),(8,9)] => 1
[(1,8),(2,5),(3,10),(4,6),(7,9)] => 1
[(1,9),(2,5),(3,10),(4,6),(7,8)] => 1
[(1,10),(2,5),(3,9),(4,6),(7,8)] => 1
[(1,10),(2,6),(3,9),(4,5),(7,8)] => 1
[(1,9),(2,6),(3,10),(4,5),(7,8)] => 1
[(1,8),(2,6),(3,10),(4,5),(7,9)] => 1
[(1,7),(2,6),(3,10),(4,5),(8,9)] => 1
[(1,6),(2,7),(3,10),(4,5),(8,9)] => 1
[(1,5),(2,7),(3,10),(4,6),(8,9)] => 1
[(1,4),(2,7),(3,10),(5,6),(8,9)] => 1
[(1,3),(2,7),(4,10),(5,6),(8,9)] => 1
[(1,2),(3,7),(4,10),(5,6),(8,9)] => 2
[(1,2),(3,8),(4,10),(5,6),(7,9)] => 2
[(1,3),(2,8),(4,10),(5,6),(7,9)] => 1
[(1,4),(2,8),(3,10),(5,6),(7,9)] => 1
[(1,5),(2,8),(3,10),(4,6),(7,9)] => 1
[(1,6),(2,8),(3,10),(4,5),(7,9)] => 1
[(1,7),(2,8),(3,10),(4,5),(6,9)] => 1
[(1,8),(2,7),(3,10),(4,5),(6,9)] => 1
[(1,9),(2,7),(3,10),(4,5),(6,8)] => 1
[(1,10),(2,7),(3,9),(4,5),(6,8)] => 1
[(1,10),(2,8),(3,9),(4,5),(6,7)] => 1
[(1,9),(2,8),(3,10),(4,5),(6,7)] => 1
[(1,8),(2,9),(3,10),(4,5),(6,7)] => 1
[(1,7),(2,9),(3,10),(4,5),(6,8)] => 1
[(1,6),(2,9),(3,10),(4,5),(7,8)] => 1
[(1,5),(2,9),(3,10),(4,6),(7,8)] => 1
[(1,4),(2,9),(3,10),(5,6),(7,8)] => 1
[(1,3),(2,9),(4,10),(5,6),(7,8)] => 1
[(1,2),(3,9),(4,10),(5,6),(7,8)] => 2
[(1,2),(3,10),(4,9),(5,6),(7,8)] => 2
[(1,3),(2,10),(4,9),(5,6),(7,8)] => 1
[(1,4),(2,10),(3,9),(5,6),(7,8)] => 1
[(1,5),(2,10),(3,9),(4,6),(7,8)] => 1
[(1,6),(2,10),(3,9),(4,5),(7,8)] => 1
[(1,7),(2,10),(3,9),(4,5),(6,8)] => 1
[(1,8),(2,10),(3,9),(4,5),(6,7)] => 1
[(1,9),(2,10),(3,8),(4,5),(6,7)] => 1
[(1,10),(2,9),(3,8),(4,5),(6,7)] => 1
[(1,10),(2,9),(3,8),(4,6),(5,7)] => 1
[(1,9),(2,10),(3,8),(4,6),(5,7)] => 1
[(1,8),(2,10),(3,9),(4,6),(5,7)] => 1
[(1,7),(2,10),(3,9),(4,6),(5,8)] => 1
[(1,6),(2,10),(3,9),(4,7),(5,8)] => 1
[(1,5),(2,10),(3,9),(4,7),(6,8)] => 1
[(1,4),(2,10),(3,9),(5,7),(6,8)] => 1
[(1,3),(2,10),(4,9),(5,7),(6,8)] => 1
[(1,2),(3,10),(4,9),(5,7),(6,8)] => 2
[(1,2),(3,9),(4,10),(5,7),(6,8)] => 2
[(1,3),(2,9),(4,10),(5,7),(6,8)] => 1
[(1,4),(2,9),(3,10),(5,7),(6,8)] => 1
[(1,5),(2,9),(3,10),(4,7),(6,8)] => 1
[(1,6),(2,9),(3,10),(4,7),(5,8)] => 1
[(1,7),(2,9),(3,10),(4,6),(5,8)] => 1
[(1,8),(2,9),(3,10),(4,6),(5,7)] => 1
[(1,9),(2,8),(3,10),(4,6),(5,7)] => 1
[(1,10),(2,8),(3,9),(4,6),(5,7)] => 1
[(1,10),(2,7),(3,9),(4,6),(5,8)] => 1
[(1,9),(2,7),(3,10),(4,6),(5,8)] => 1
[(1,8),(2,7),(3,10),(4,6),(5,9)] => 1
[(1,7),(2,8),(3,10),(4,6),(5,9)] => 1
[(1,6),(2,8),(3,10),(4,7),(5,9)] => 1
[(1,5),(2,8),(3,10),(4,7),(6,9)] => 1
[(1,4),(2,8),(3,10),(5,7),(6,9)] => 1
[(1,3),(2,8),(4,10),(5,7),(6,9)] => 1
[(1,2),(3,8),(4,10),(5,7),(6,9)] => 2
[(1,2),(3,7),(4,10),(5,8),(6,9)] => 2
[(1,3),(2,7),(4,10),(5,8),(6,9)] => 1
[(1,4),(2,7),(3,10),(5,8),(6,9)] => 1
[(1,5),(2,7),(3,10),(4,8),(6,9)] => 1
[(1,6),(2,7),(3,10),(4,8),(5,9)] => 1
[(1,7),(2,6),(3,10),(4,8),(5,9)] => 1
[(1,8),(2,6),(3,10),(4,7),(5,9)] => 1
[(1,9),(2,6),(3,10),(4,7),(5,8)] => 1
[(1,10),(2,6),(3,9),(4,7),(5,8)] => 1
[(1,10),(2,5),(3,9),(4,7),(6,8)] => 1
[(1,9),(2,5),(3,10),(4,7),(6,8)] => 1
[(1,8),(2,5),(3,10),(4,7),(6,9)] => 1
[(1,7),(2,5),(3,10),(4,8),(6,9)] => 1
[(1,6),(2,5),(3,10),(4,8),(7,9)] => 1
[(1,5),(2,6),(3,10),(4,8),(7,9)] => 1
[(1,4),(2,6),(3,10),(5,8),(7,9)] => 1
[(1,3),(2,6),(4,10),(5,8),(7,9)] => 1
[(1,2),(3,6),(4,10),(5,8),(7,9)] => 2
[(1,2),(3,5),(4,10),(6,8),(7,9)] => 2
[(1,3),(2,5),(4,10),(6,8),(7,9)] => 1
[(1,4),(2,5),(3,10),(6,8),(7,9)] => 1
[(1,5),(2,4),(3,10),(6,8),(7,9)] => 1
[(1,6),(2,4),(3,10),(5,8),(7,9)] => 1
[(1,7),(2,4),(3,10),(5,8),(6,9)] => 1
[(1,8),(2,4),(3,10),(5,7),(6,9)] => 1
[(1,9),(2,4),(3,10),(5,7),(6,8)] => 1
[(1,10),(2,4),(3,9),(5,7),(6,8)] => 1
[(1,10),(2,3),(4,9),(5,7),(6,8)] => 1
[(1,9),(2,3),(4,10),(5,7),(6,8)] => 1
[(1,8),(2,3),(4,10),(5,7),(6,9)] => 1
[(1,7),(2,3),(4,10),(5,8),(6,9)] => 1
[(1,6),(2,3),(4,10),(5,8),(7,9)] => 1
[(1,5),(2,3),(4,10),(6,8),(7,9)] => 1
[(1,4),(2,3),(5,10),(6,8),(7,9)] => 2
[(1,3),(2,4),(5,10),(6,8),(7,9)] => 2
[(1,2),(3,4),(5,10),(6,8),(7,9)] => 3
[(1,2),(3,4),(5,9),(6,8),(7,10)] => 3
[(1,3),(2,4),(5,9),(6,8),(7,10)] => 2
[(1,4),(2,3),(5,9),(6,8),(7,10)] => 2
[(1,5),(2,3),(4,9),(6,8),(7,10)] => 1
[(1,6),(2,3),(4,9),(5,8),(7,10)] => 1
[(1,7),(2,3),(4,9),(5,8),(6,10)] => 1
[(1,8),(2,3),(4,9),(5,7),(6,10)] => 1
[(1,9),(2,3),(4,8),(5,7),(6,10)] => 1
[(1,10),(2,3),(4,8),(5,7),(6,9)] => 1
[(1,10),(2,4),(3,8),(5,7),(6,9)] => 1
[(1,9),(2,4),(3,8),(5,7),(6,10)] => 1
[(1,8),(2,4),(3,9),(5,7),(6,10)] => 1
[(1,7),(2,4),(3,9),(5,8),(6,10)] => 1
[(1,6),(2,4),(3,9),(5,8),(7,10)] => 1
[(1,5),(2,4),(3,9),(6,8),(7,10)] => 1
[(1,4),(2,5),(3,9),(6,8),(7,10)] => 1
[(1,3),(2,5),(4,9),(6,8),(7,10)] => 1
[(1,2),(3,5),(4,9),(6,8),(7,10)] => 2
[(1,2),(3,6),(4,9),(5,8),(7,10)] => 2
[(1,3),(2,6),(4,9),(5,8),(7,10)] => 1
[(1,4),(2,6),(3,9),(5,8),(7,10)] => 1
[(1,5),(2,6),(3,9),(4,8),(7,10)] => 1
[(1,6),(2,5),(3,9),(4,8),(7,10)] => 1
[(1,7),(2,5),(3,9),(4,8),(6,10)] => 1
[(1,8),(2,5),(3,9),(4,7),(6,10)] => 1
[(1,9),(2,5),(3,8),(4,7),(6,10)] => 1
[(1,10),(2,5),(3,8),(4,7),(6,9)] => 1
[(1,10),(2,6),(3,8),(4,7),(5,9)] => 1
[(1,9),(2,6),(3,8),(4,7),(5,10)] => 1
[(1,8),(2,6),(3,9),(4,7),(5,10)] => 1
[(1,7),(2,6),(3,9),(4,8),(5,10)] => 1
[(1,6),(2,7),(3,9),(4,8),(5,10)] => 1
[(1,5),(2,7),(3,9),(4,8),(6,10)] => 1
[(1,4),(2,7),(3,9),(5,8),(6,10)] => 1
[(1,3),(2,7),(4,9),(5,8),(6,10)] => 1
[(1,2),(3,7),(4,9),(5,8),(6,10)] => 2
[(1,2),(3,8),(4,9),(5,7),(6,10)] => 2
[(1,3),(2,8),(4,9),(5,7),(6,10)] => 1
[(1,4),(2,8),(3,9),(5,7),(6,10)] => 1
[(1,5),(2,8),(3,9),(4,7),(6,10)] => 1
[(1,6),(2,8),(3,9),(4,7),(5,10)] => 1
[(1,7),(2,8),(3,9),(4,6),(5,10)] => 1
[(1,8),(2,7),(3,9),(4,6),(5,10)] => 1
[(1,9),(2,7),(3,8),(4,6),(5,10)] => 1
[(1,10),(2,7),(3,8),(4,6),(5,9)] => 1
[(1,10),(2,8),(3,7),(4,6),(5,9)] => 1
[(1,9),(2,8),(3,7),(4,6),(5,10)] => 1
[(1,8),(2,9),(3,7),(4,6),(5,10)] => 1
[(1,7),(2,9),(3,8),(4,6),(5,10)] => 1
[(1,6),(2,9),(3,8),(4,7),(5,10)] => 1
[(1,5),(2,9),(3,8),(4,7),(6,10)] => 1
[(1,4),(2,9),(3,8),(5,7),(6,10)] => 1
[(1,3),(2,9),(4,8),(5,7),(6,10)] => 1
[(1,2),(3,9),(4,8),(5,7),(6,10)] => 2
[(1,2),(3,10),(4,8),(5,7),(6,9)] => 2
[(1,3),(2,10),(4,8),(5,7),(6,9)] => 1
[(1,4),(2,10),(3,8),(5,7),(6,9)] => 1
[(1,5),(2,10),(3,8),(4,7),(6,9)] => 1
[(1,6),(2,10),(3,8),(4,7),(5,9)] => 1
[(1,7),(2,10),(3,8),(4,6),(5,9)] => 1
[(1,8),(2,10),(3,7),(4,6),(5,9)] => 1
[(1,9),(2,10),(3,7),(4,6),(5,8)] => 1
[(1,10),(2,9),(3,7),(4,6),(5,8)] => 1
[(1,10),(2,9),(3,6),(4,7),(5,8)] => 1
[(1,9),(2,10),(3,6),(4,7),(5,8)] => 1
[(1,8),(2,10),(3,6),(4,7),(5,9)] => 1
[(1,7),(2,10),(3,6),(4,8),(5,9)] => 1
[(1,6),(2,10),(3,7),(4,8),(5,9)] => 1
[(1,5),(2,10),(3,7),(4,8),(6,9)] => 1
[(1,4),(2,10),(3,7),(5,8),(6,9)] => 1
[(1,3),(2,10),(4,7),(5,8),(6,9)] => 1
[(1,2),(3,10),(4,7),(5,8),(6,9)] => 2
[(1,2),(3,9),(4,7),(5,8),(6,10)] => 2
[(1,3),(2,9),(4,7),(5,8),(6,10)] => 1
[(1,4),(2,9),(3,7),(5,8),(6,10)] => 1
[(1,5),(2,9),(3,7),(4,8),(6,10)] => 1
[(1,6),(2,9),(3,7),(4,8),(5,10)] => 1
[(1,7),(2,9),(3,6),(4,8),(5,10)] => 1
[(1,8),(2,9),(3,6),(4,7),(5,10)] => 1
[(1,9),(2,8),(3,6),(4,7),(5,10)] => 1
[(1,10),(2,8),(3,6),(4,7),(5,9)] => 1
[(1,10),(2,7),(3,6),(4,8),(5,9)] => 1
[(1,9),(2,7),(3,6),(4,8),(5,10)] => 1
[(1,8),(2,7),(3,6),(4,9),(5,10)] => 1
[(1,7),(2,8),(3,6),(4,9),(5,10)] => 1
[(1,6),(2,8),(3,7),(4,9),(5,10)] => 1
[(1,5),(2,8),(3,7),(4,9),(6,10)] => 1
[(1,4),(2,8),(3,7),(5,9),(6,10)] => 1
[(1,3),(2,8),(4,7),(5,9),(6,10)] => 1
[(1,2),(3,8),(4,7),(5,9),(6,10)] => 2
[(1,2),(3,7),(4,8),(5,9),(6,10)] => 2
[(1,3),(2,7),(4,8),(5,9),(6,10)] => 1
[(1,4),(2,7),(3,8),(5,9),(6,10)] => 1
[(1,5),(2,7),(3,8),(4,9),(6,10)] => 1
[(1,6),(2,7),(3,8),(4,9),(5,10)] => 1
[(1,7),(2,6),(3,8),(4,9),(5,10)] => 1
[(1,8),(2,6),(3,7),(4,9),(5,10)] => 1
[(1,9),(2,6),(3,7),(4,8),(5,10)] => 1
[(1,10),(2,6),(3,7),(4,8),(5,9)] => 1
[(1,10),(2,5),(3,7),(4,8),(6,9)] => 1
[(1,9),(2,5),(3,7),(4,8),(6,10)] => 1
[(1,8),(2,5),(3,7),(4,9),(6,10)] => 1
[(1,7),(2,5),(3,8),(4,9),(6,10)] => 1
[(1,6),(2,5),(3,8),(4,9),(7,10)] => 1
[(1,5),(2,6),(3,8),(4,9),(7,10)] => 1
[(1,4),(2,6),(3,8),(5,9),(7,10)] => 1
[(1,3),(2,6),(4,8),(5,9),(7,10)] => 1
[(1,2),(3,6),(4,8),(5,9),(7,10)] => 2
[(1,2),(3,5),(4,8),(6,9),(7,10)] => 2
[(1,3),(2,5),(4,8),(6,9),(7,10)] => 1
[(1,4),(2,5),(3,8),(6,9),(7,10)] => 1
[(1,5),(2,4),(3,8),(6,9),(7,10)] => 1
[(1,6),(2,4),(3,8),(5,9),(7,10)] => 1
[(1,7),(2,4),(3,8),(5,9),(6,10)] => 1
[(1,8),(2,4),(3,7),(5,9),(6,10)] => 1
[(1,9),(2,4),(3,7),(5,8),(6,10)] => 1
[(1,10),(2,4),(3,7),(5,8),(6,9)] => 1
[(1,10),(2,3),(4,7),(5,8),(6,9)] => 1
[(1,9),(2,3),(4,7),(5,8),(6,10)] => 1
[(1,8),(2,3),(4,7),(5,9),(6,10)] => 1
[(1,7),(2,3),(4,8),(5,9),(6,10)] => 1
[(1,6),(2,3),(4,8),(5,9),(7,10)] => 1
[(1,5),(2,3),(4,8),(6,9),(7,10)] => 1
[(1,4),(2,3),(5,8),(6,9),(7,10)] => 2
[(1,3),(2,4),(5,8),(6,9),(7,10)] => 2
[(1,2),(3,4),(5,8),(6,9),(7,10)] => 3
[(1,2),(3,4),(5,7),(6,9),(8,10)] => 3
[(1,3),(2,4),(5,7),(6,9),(8,10)] => 2
[(1,4),(2,3),(5,7),(6,9),(8,10)] => 2
[(1,5),(2,3),(4,7),(6,9),(8,10)] => 1
[(1,6),(2,3),(4,7),(5,9),(8,10)] => 1
[(1,7),(2,3),(4,6),(5,9),(8,10)] => 1
[(1,8),(2,3),(4,6),(5,9),(7,10)] => 1
[(1,9),(2,3),(4,6),(5,8),(7,10)] => 1
[(1,10),(2,3),(4,6),(5,8),(7,9)] => 1
[(1,10),(2,4),(3,6),(5,8),(7,9)] => 1
[(1,9),(2,4),(3,6),(5,8),(7,10)] => 1
[(1,8),(2,4),(3,6),(5,9),(7,10)] => 1
[(1,7),(2,4),(3,6),(5,9),(8,10)] => 1
[(1,6),(2,4),(3,7),(5,9),(8,10)] => 1
[(1,5),(2,4),(3,7),(6,9),(8,10)] => 1
[(1,4),(2,5),(3,7),(6,9),(8,10)] => 1
[(1,3),(2,5),(4,7),(6,9),(8,10)] => 1
[(1,2),(3,5),(4,7),(6,9),(8,10)] => 2
[(1,2),(3,6),(4,7),(5,9),(8,10)] => 2
[(1,3),(2,6),(4,7),(5,9),(8,10)] => 1
[(1,4),(2,6),(3,7),(5,9),(8,10)] => 1
[(1,5),(2,6),(3,7),(4,9),(8,10)] => 1
[(1,6),(2,5),(3,7),(4,9),(8,10)] => 1
[(1,7),(2,5),(3,6),(4,9),(8,10)] => 1
[(1,8),(2,5),(3,6),(4,9),(7,10)] => 1
[(1,9),(2,5),(3,6),(4,8),(7,10)] => 1
[(1,10),(2,5),(3,6),(4,8),(7,9)] => 1
[(1,10),(2,6),(3,5),(4,8),(7,9)] => 1
[(1,9),(2,6),(3,5),(4,8),(7,10)] => 1
[(1,8),(2,6),(3,5),(4,9),(7,10)] => 1
[(1,7),(2,6),(3,5),(4,9),(8,10)] => 1
[(1,6),(2,7),(3,5),(4,9),(8,10)] => 1
[(1,5),(2,7),(3,6),(4,9),(8,10)] => 1
[(1,4),(2,7),(3,6),(5,9),(8,10)] => 1
[(1,3),(2,7),(4,6),(5,9),(8,10)] => 1
[(1,2),(3,7),(4,6),(5,9),(8,10)] => 2
[(1,2),(3,8),(4,6),(5,9),(7,10)] => 2
[(1,3),(2,8),(4,6),(5,9),(7,10)] => 1
[(1,4),(2,8),(3,6),(5,9),(7,10)] => 1
[(1,5),(2,8),(3,6),(4,9),(7,10)] => 1
[(1,6),(2,8),(3,5),(4,9),(7,10)] => 1
[(1,7),(2,8),(3,5),(4,9),(6,10)] => 1
[(1,8),(2,7),(3,5),(4,9),(6,10)] => 1
[(1,9),(2,7),(3,5),(4,8),(6,10)] => 1
[(1,10),(2,7),(3,5),(4,8),(6,9)] => 1
[(1,10),(2,8),(3,5),(4,7),(6,9)] => 1
[(1,9),(2,8),(3,5),(4,7),(6,10)] => 1
[(1,8),(2,9),(3,5),(4,7),(6,10)] => 1
[(1,7),(2,9),(3,5),(4,8),(6,10)] => 1
[(1,6),(2,9),(3,5),(4,8),(7,10)] => 1
[(1,5),(2,9),(3,6),(4,8),(7,10)] => 1
[(1,4),(2,9),(3,6),(5,8),(7,10)] => 1
[(1,3),(2,9),(4,6),(5,8),(7,10)] => 1
[(1,2),(3,9),(4,6),(5,8),(7,10)] => 2
[(1,2),(3,10),(4,6),(5,8),(7,9)] => 2
[(1,3),(2,10),(4,6),(5,8),(7,9)] => 1
[(1,4),(2,10),(3,6),(5,8),(7,9)] => 1
[(1,5),(2,10),(3,6),(4,8),(7,9)] => 1
[(1,6),(2,10),(3,5),(4,8),(7,9)] => 1
[(1,7),(2,10),(3,5),(4,8),(6,9)] => 1
[(1,8),(2,10),(3,5),(4,7),(6,9)] => 1
[(1,9),(2,10),(3,5),(4,7),(6,8)] => 1
[(1,10),(2,9),(3,5),(4,7),(6,8)] => 1
[(1,10),(2,9),(3,4),(5,7),(6,8)] => 1
[(1,9),(2,10),(3,4),(5,7),(6,8)] => 1
[(1,8),(2,10),(3,4),(5,7),(6,9)] => 1
[(1,7),(2,10),(3,4),(5,8),(6,9)] => 1
[(1,6),(2,10),(3,4),(5,8),(7,9)] => 1
[(1,5),(2,10),(3,4),(6,8),(7,9)] => 1
[(1,4),(2,10),(3,5),(6,8),(7,9)] => 1
[(1,3),(2,10),(4,5),(6,8),(7,9)] => 1
[(1,2),(3,10),(4,5),(6,8),(7,9)] => 2
[(1,2),(3,9),(4,5),(6,8),(7,10)] => 2
[(1,3),(2,9),(4,5),(6,8),(7,10)] => 1
[(1,4),(2,9),(3,5),(6,8),(7,10)] => 1
[(1,5),(2,9),(3,4),(6,8),(7,10)] => 1
[(1,6),(2,9),(3,4),(5,8),(7,10)] => 1
[(1,7),(2,9),(3,4),(5,8),(6,10)] => 1
[(1,8),(2,9),(3,4),(5,7),(6,10)] => 1
[(1,9),(2,8),(3,4),(5,7),(6,10)] => 1
[(1,10),(2,8),(3,4),(5,7),(6,9)] => 1
[(1,10),(2,7),(3,4),(5,8),(6,9)] => 1
[(1,9),(2,7),(3,4),(5,8),(6,10)] => 1
[(1,8),(2,7),(3,4),(5,9),(6,10)] => 1
[(1,7),(2,8),(3,4),(5,9),(6,10)] => 1
[(1,6),(2,8),(3,4),(5,9),(7,10)] => 1
[(1,5),(2,8),(3,4),(6,9),(7,10)] => 1
[(1,4),(2,8),(3,5),(6,9),(7,10)] => 1
[(1,3),(2,8),(4,5),(6,9),(7,10)] => 1
[(1,2),(3,8),(4,5),(6,9),(7,10)] => 2
[(1,2),(3,7),(4,5),(6,9),(8,10)] => 2
[(1,3),(2,7),(4,5),(6,9),(8,10)] => 1
[(1,4),(2,7),(3,5),(6,9),(8,10)] => 1
[(1,5),(2,7),(3,4),(6,9),(8,10)] => 1
[(1,6),(2,7),(3,4),(5,9),(8,10)] => 1
[(1,7),(2,6),(3,4),(5,9),(8,10)] => 1
[(1,8),(2,6),(3,4),(5,9),(7,10)] => 1
[(1,9),(2,6),(3,4),(5,8),(7,10)] => 1
[(1,10),(2,6),(3,4),(5,8),(7,9)] => 1
[(1,10),(2,5),(3,4),(6,8),(7,9)] => 1
[(1,9),(2,5),(3,4),(6,8),(7,10)] => 1
[(1,8),(2,5),(3,4),(6,9),(7,10)] => 1
[(1,7),(2,5),(3,4),(6,9),(8,10)] => 1
[(1,6),(2,5),(3,4),(7,9),(8,10)] => 2
[(1,5),(2,6),(3,4),(7,9),(8,10)] => 2
[(1,4),(2,6),(3,5),(7,9),(8,10)] => 2
[(1,3),(2,6),(4,5),(7,9),(8,10)] => 2
[(1,2),(3,6),(4,5),(7,9),(8,10)] => 3
[(1,2),(3,5),(4,6),(7,9),(8,10)] => 3
[(1,3),(2,5),(4,6),(7,9),(8,10)] => 2
[(1,4),(2,5),(3,6),(7,9),(8,10)] => 2
[(1,5),(2,4),(3,6),(7,9),(8,10)] => 2
[(1,6),(2,4),(3,5),(7,9),(8,10)] => 2
[(1,7),(2,4),(3,5),(6,9),(8,10)] => 1
[(1,8),(2,4),(3,5),(6,9),(7,10)] => 1
[(1,9),(2,4),(3,5),(6,8),(7,10)] => 1
[(1,10),(2,4),(3,5),(6,8),(7,9)] => 1
[(1,10),(2,3),(4,5),(6,8),(7,9)] => 1
[(1,9),(2,3),(4,5),(6,8),(7,10)] => 1
[(1,8),(2,3),(4,5),(6,9),(7,10)] => 1
[(1,7),(2,3),(4,5),(6,9),(8,10)] => 1
[(1,6),(2,3),(4,5),(7,9),(8,10)] => 2
[(1,5),(2,3),(4,6),(7,9),(8,10)] => 2
[(1,4),(2,3),(5,6),(7,9),(8,10)] => 3
[(1,3),(2,4),(5,6),(7,9),(8,10)] => 3
[(1,2),(3,4),(5,6),(7,9),(8,10)] => 4
[(1,2),(3,4),(5,6),(7,10),(8,9)] => 4
[(1,3),(2,4),(5,6),(7,10),(8,9)] => 3
[(1,4),(2,3),(5,6),(7,10),(8,9)] => 3
[(1,5),(2,3),(4,6),(7,10),(8,9)] => 2
[(1,6),(2,3),(4,5),(7,10),(8,9)] => 2
[(1,7),(2,3),(4,5),(6,10),(8,9)] => 1
[(1,8),(2,3),(4,5),(6,10),(7,9)] => 1
[(1,9),(2,3),(4,5),(6,10),(7,8)] => 1
[(1,10),(2,3),(4,5),(6,9),(7,8)] => 1
[(1,10),(2,4),(3,5),(6,9),(7,8)] => 1
[(1,9),(2,4),(3,5),(6,10),(7,8)] => 1
[(1,8),(2,4),(3,5),(6,10),(7,9)] => 1
[(1,7),(2,4),(3,5),(6,10),(8,9)] => 1
[(1,6),(2,4),(3,5),(7,10),(8,9)] => 2
[(1,5),(2,4),(3,6),(7,10),(8,9)] => 2
[(1,4),(2,5),(3,6),(7,10),(8,9)] => 2
[(1,3),(2,5),(4,6),(7,10),(8,9)] => 2
[(1,2),(3,5),(4,6),(7,10),(8,9)] => 3
[(1,2),(3,6),(4,5),(7,10),(8,9)] => 3
[(1,3),(2,6),(4,5),(7,10),(8,9)] => 2
[(1,4),(2,6),(3,5),(7,10),(8,9)] => 2
[(1,5),(2,6),(3,4),(7,10),(8,9)] => 2
[(1,6),(2,5),(3,4),(7,10),(8,9)] => 2
[(1,7),(2,5),(3,4),(6,10),(8,9)] => 1
[(1,8),(2,5),(3,4),(6,10),(7,9)] => 1
[(1,9),(2,5),(3,4),(6,10),(7,8)] => 1
[(1,10),(2,5),(3,4),(6,9),(7,8)] => 1
[(1,10),(2,6),(3,4),(5,9),(7,8)] => 1
[(1,9),(2,6),(3,4),(5,10),(7,8)] => 1
[(1,8),(2,6),(3,4),(5,10),(7,9)] => 1
[(1,7),(2,6),(3,4),(5,10),(8,9)] => 1
[(1,6),(2,7),(3,4),(5,10),(8,9)] => 1
[(1,5),(2,7),(3,4),(6,10),(8,9)] => 1
[(1,4),(2,7),(3,5),(6,10),(8,9)] => 1
[(1,3),(2,7),(4,5),(6,10),(8,9)] => 1
[(1,2),(3,7),(4,5),(6,10),(8,9)] => 2
[(1,2),(3,8),(4,5),(6,10),(7,9)] => 2
[(1,3),(2,8),(4,5),(6,10),(7,9)] => 1
[(1,4),(2,8),(3,5),(6,10),(7,9)] => 1
[(1,5),(2,8),(3,4),(6,10),(7,9)] => 1
[(1,6),(2,8),(3,4),(5,10),(7,9)] => 1
[(1,7),(2,8),(3,4),(5,10),(6,9)] => 1
[(1,8),(2,7),(3,4),(5,10),(6,9)] => 1
[(1,9),(2,7),(3,4),(5,10),(6,8)] => 1
[(1,10),(2,7),(3,4),(5,9),(6,8)] => 1
[(1,10),(2,8),(3,4),(5,9),(6,7)] => 1
[(1,9),(2,8),(3,4),(5,10),(6,7)] => 1
[(1,8),(2,9),(3,4),(5,10),(6,7)] => 1
[(1,7),(2,9),(3,4),(5,10),(6,8)] => 1
[(1,6),(2,9),(3,4),(5,10),(7,8)] => 1
[(1,5),(2,9),(3,4),(6,10),(7,8)] => 1
[(1,4),(2,9),(3,5),(6,10),(7,8)] => 1
[(1,3),(2,9),(4,5),(6,10),(7,8)] => 1
[(1,2),(3,9),(4,5),(6,10),(7,8)] => 2
[(1,2),(3,10),(4,5),(6,9),(7,8)] => 2
[(1,3),(2,10),(4,5),(6,9),(7,8)] => 1
[(1,4),(2,10),(3,5),(6,9),(7,8)] => 1
[(1,5),(2,10),(3,4),(6,9),(7,8)] => 1
[(1,6),(2,10),(3,4),(5,9),(7,8)] => 1
[(1,7),(2,10),(3,4),(5,9),(6,8)] => 1
[(1,8),(2,10),(3,4),(5,9),(6,7)] => 1
[(1,9),(2,10),(3,4),(5,8),(6,7)] => 1
[(1,10),(2,9),(3,4),(5,8),(6,7)] => 1
[(1,10),(2,9),(3,5),(4,8),(6,7)] => 1
[(1,9),(2,10),(3,5),(4,8),(6,7)] => 1
[(1,8),(2,10),(3,5),(4,9),(6,7)] => 1
[(1,7),(2,10),(3,5),(4,9),(6,8)] => 1
[(1,6),(2,10),(3,5),(4,9),(7,8)] => 1
[(1,5),(2,10),(3,6),(4,9),(7,8)] => 1
[(1,4),(2,10),(3,6),(5,9),(7,8)] => 1
[(1,3),(2,10),(4,6),(5,9),(7,8)] => 1
[(1,2),(3,10),(4,6),(5,9),(7,8)] => 2
[(1,2),(3,9),(4,6),(5,10),(7,8)] => 2
[(1,3),(2,9),(4,6),(5,10),(7,8)] => 1
[(1,4),(2,9),(3,6),(5,10),(7,8)] => 1
[(1,5),(2,9),(3,6),(4,10),(7,8)] => 1
[(1,6),(2,9),(3,5),(4,10),(7,8)] => 1
[(1,7),(2,9),(3,5),(4,10),(6,8)] => 1
[(1,8),(2,9),(3,5),(4,10),(6,7)] => 1
[(1,9),(2,8),(3,5),(4,10),(6,7)] => 1
[(1,10),(2,8),(3,5),(4,9),(6,7)] => 1
[(1,10),(2,7),(3,5),(4,9),(6,8)] => 1
[(1,9),(2,7),(3,5),(4,10),(6,8)] => 1
[(1,8),(2,7),(3,5),(4,10),(6,9)] => 1
[(1,7),(2,8),(3,5),(4,10),(6,9)] => 1
[(1,6),(2,8),(3,5),(4,10),(7,9)] => 1
[(1,5),(2,8),(3,6),(4,10),(7,9)] => 1
[(1,4),(2,8),(3,6),(5,10),(7,9)] => 1
[(1,3),(2,8),(4,6),(5,10),(7,9)] => 1
[(1,2),(3,8),(4,6),(5,10),(7,9)] => 2
[(1,2),(3,7),(4,6),(5,10),(8,9)] => 2
[(1,3),(2,7),(4,6),(5,10),(8,9)] => 1
[(1,4),(2,7),(3,6),(5,10),(8,9)] => 1
[(1,5),(2,7),(3,6),(4,10),(8,9)] => 1
[(1,6),(2,7),(3,5),(4,10),(8,9)] => 1
[(1,7),(2,6),(3,5),(4,10),(8,9)] => 1
[(1,8),(2,6),(3,5),(4,10),(7,9)] => 1
[(1,9),(2,6),(3,5),(4,10),(7,8)] => 1
[(1,10),(2,6),(3,5),(4,9),(7,8)] => 1
[(1,10),(2,5),(3,6),(4,9),(7,8)] => 1
[(1,9),(2,5),(3,6),(4,10),(7,8)] => 1
[(1,8),(2,5),(3,6),(4,10),(7,9)] => 1
[(1,7),(2,5),(3,6),(4,10),(8,9)] => 1
[(1,6),(2,5),(3,7),(4,10),(8,9)] => 1
[(1,5),(2,6),(3,7),(4,10),(8,9)] => 1
[(1,4),(2,6),(3,7),(5,10),(8,9)] => 1
[(1,3),(2,6),(4,7),(5,10),(8,9)] => 1
[(1,2),(3,6),(4,7),(5,10),(8,9)] => 2
[(1,2),(3,5),(4,7),(6,10),(8,9)] => 2
[(1,3),(2,5),(4,7),(6,10),(8,9)] => 1
[(1,4),(2,5),(3,7),(6,10),(8,9)] => 1
[(1,5),(2,4),(3,7),(6,10),(8,9)] => 1
[(1,6),(2,4),(3,7),(5,10),(8,9)] => 1
[(1,7),(2,4),(3,6),(5,10),(8,9)] => 1
[(1,8),(2,4),(3,6),(5,10),(7,9)] => 1
[(1,9),(2,4),(3,6),(5,10),(7,8)] => 1
[(1,10),(2,4),(3,6),(5,9),(7,8)] => 1
[(1,10),(2,3),(4,6),(5,9),(7,8)] => 1
[(1,9),(2,3),(4,6),(5,10),(7,8)] => 1
[(1,8),(2,3),(4,6),(5,10),(7,9)] => 1
[(1,7),(2,3),(4,6),(5,10),(8,9)] => 1
[(1,6),(2,3),(4,7),(5,10),(8,9)] => 1
[(1,5),(2,3),(4,7),(6,10),(8,9)] => 1
[(1,4),(2,3),(5,7),(6,10),(8,9)] => 2
[(1,3),(2,4),(5,7),(6,10),(8,9)] => 2
[(1,2),(3,4),(5,7),(6,10),(8,9)] => 3
[(1,2),(3,4),(5,8),(6,10),(7,9)] => 3
[(1,3),(2,4),(5,8),(6,10),(7,9)] => 2
[(1,4),(2,3),(5,8),(6,10),(7,9)] => 2
[(1,5),(2,3),(4,8),(6,10),(7,9)] => 1
[(1,6),(2,3),(4,8),(5,10),(7,9)] => 1
[(1,7),(2,3),(4,8),(5,10),(6,9)] => 1
[(1,8),(2,3),(4,7),(5,10),(6,9)] => 1
[(1,9),(2,3),(4,7),(5,10),(6,8)] => 1
[(1,10),(2,3),(4,7),(5,9),(6,8)] => 1
[(1,10),(2,4),(3,7),(5,9),(6,8)] => 1
[(1,9),(2,4),(3,7),(5,10),(6,8)] => 1
[(1,8),(2,4),(3,7),(5,10),(6,9)] => 1
[(1,7),(2,4),(3,8),(5,10),(6,9)] => 1
[(1,6),(2,4),(3,8),(5,10),(7,9)] => 1
[(1,5),(2,4),(3,8),(6,10),(7,9)] => 1
[(1,4),(2,5),(3,8),(6,10),(7,9)] => 1
[(1,3),(2,5),(4,8),(6,10),(7,9)] => 1
[(1,2),(3,5),(4,8),(6,10),(7,9)] => 2
[(1,2),(3,6),(4,8),(5,10),(7,9)] => 2
[(1,3),(2,6),(4,8),(5,10),(7,9)] => 1
[(1,4),(2,6),(3,8),(5,10),(7,9)] => 1
[(1,5),(2,6),(3,8),(4,10),(7,9)] => 1
[(1,6),(2,5),(3,8),(4,10),(7,9)] => 1
[(1,7),(2,5),(3,8),(4,10),(6,9)] => 1
[(1,8),(2,5),(3,7),(4,10),(6,9)] => 1
[(1,9),(2,5),(3,7),(4,10),(6,8)] => 1
[(1,10),(2,5),(3,7),(4,9),(6,8)] => 1
[(1,10),(2,6),(3,7),(4,9),(5,8)] => 1
[(1,9),(2,6),(3,7),(4,10),(5,8)] => 1
[(1,8),(2,6),(3,7),(4,10),(5,9)] => 1
[(1,7),(2,6),(3,8),(4,10),(5,9)] => 1
[(1,6),(2,7),(3,8),(4,10),(5,9)] => 1
[(1,5),(2,7),(3,8),(4,10),(6,9)] => 1
[(1,4),(2,7),(3,8),(5,10),(6,9)] => 1
[(1,3),(2,7),(4,8),(5,10),(6,9)] => 1
[(1,2),(3,7),(4,8),(5,10),(6,9)] => 2
[(1,2),(3,8),(4,7),(5,10),(6,9)] => 2
[(1,3),(2,8),(4,7),(5,10),(6,9)] => 1
[(1,4),(2,8),(3,7),(5,10),(6,9)] => 1
[(1,5),(2,8),(3,7),(4,10),(6,9)] => 1
[(1,6),(2,8),(3,7),(4,10),(5,9)] => 1
[(1,7),(2,8),(3,6),(4,10),(5,9)] => 1
[(1,8),(2,7),(3,6),(4,10),(5,9)] => 1
[(1,9),(2,7),(3,6),(4,10),(5,8)] => 1
[(1,10),(2,7),(3,6),(4,9),(5,8)] => 1
[(1,10),(2,8),(3,6),(4,9),(5,7)] => 1
[(1,9),(2,8),(3,6),(4,10),(5,7)] => 1
[(1,8),(2,9),(3,6),(4,10),(5,7)] => 1
[(1,7),(2,9),(3,6),(4,10),(5,8)] => 1
[(1,6),(2,9),(3,7),(4,10),(5,8)] => 1
[(1,5),(2,9),(3,7),(4,10),(6,8)] => 1
[(1,4),(2,9),(3,7),(5,10),(6,8)] => 1
[(1,3),(2,9),(4,7),(5,10),(6,8)] => 1
[(1,2),(3,9),(4,7),(5,10),(6,8)] => 2
[(1,2),(3,10),(4,7),(5,9),(6,8)] => 2
[(1,3),(2,10),(4,7),(5,9),(6,8)] => 1
[(1,4),(2,10),(3,7),(5,9),(6,8)] => 1
[(1,5),(2,10),(3,7),(4,9),(6,8)] => 1
[(1,6),(2,10),(3,7),(4,9),(5,8)] => 1
[(1,7),(2,10),(3,6),(4,9),(5,8)] => 1
[(1,8),(2,10),(3,6),(4,9),(5,7)] => 1
[(1,9),(2,10),(3,6),(4,8),(5,7)] => 1
[(1,10),(2,9),(3,6),(4,8),(5,7)] => 1
[(1,10),(2,9),(3,7),(4,8),(5,6)] => 1
[(1,9),(2,10),(3,7),(4,8),(5,6)] => 1
[(1,8),(2,10),(3,7),(4,9),(5,6)] => 1
[(1,7),(2,10),(3,8),(4,9),(5,6)] => 1
[(1,6),(2,10),(3,8),(4,9),(5,7)] => 1
[(1,5),(2,10),(3,8),(4,9),(6,7)] => 1
[(1,4),(2,10),(3,8),(5,9),(6,7)] => 1
[(1,3),(2,10),(4,8),(5,9),(6,7)] => 1
[(1,2),(3,10),(4,8),(5,9),(6,7)] => 2
[(1,2),(3,9),(4,8),(5,10),(6,7)] => 2
[(1,3),(2,9),(4,8),(5,10),(6,7)] => 1
[(1,4),(2,9),(3,8),(5,10),(6,7)] => 1
[(1,5),(2,9),(3,8),(4,10),(6,7)] => 1
[(1,6),(2,9),(3,8),(4,10),(5,7)] => 1
[(1,7),(2,9),(3,8),(4,10),(5,6)] => 1
[(1,8),(2,9),(3,7),(4,10),(5,6)] => 1
[(1,9),(2,8),(3,7),(4,10),(5,6)] => 1
[(1,10),(2,8),(3,7),(4,9),(5,6)] => 1
[(1,10),(2,7),(3,8),(4,9),(5,6)] => 1
[(1,9),(2,7),(3,8),(4,10),(5,6)] => 1
[(1,8),(2,7),(3,9),(4,10),(5,6)] => 1
[(1,7),(2,8),(3,9),(4,10),(5,6)] => 1
[(1,6),(2,8),(3,9),(4,10),(5,7)] => 1
[(1,5),(2,8),(3,9),(4,10),(6,7)] => 1
[(1,4),(2,8),(3,9),(5,10),(6,7)] => 1
[(1,3),(2,8),(4,9),(5,10),(6,7)] => 1
[(1,2),(3,8),(4,9),(5,10),(6,7)] => 2
[(1,2),(3,7),(4,9),(5,10),(6,8)] => 2
[(1,3),(2,7),(4,9),(5,10),(6,8)] => 1
[(1,4),(2,7),(3,9),(5,10),(6,8)] => 1
[(1,5),(2,7),(3,9),(4,10),(6,8)] => 1
[(1,6),(2,7),(3,9),(4,10),(5,8)] => 1
[(1,7),(2,6),(3,9),(4,10),(5,8)] => 1
[(1,8),(2,6),(3,9),(4,10),(5,7)] => 1
[(1,9),(2,6),(3,8),(4,10),(5,7)] => 1
[(1,10),(2,6),(3,8),(4,9),(5,7)] => 1
[(1,10),(2,5),(3,8),(4,9),(6,7)] => 1
[(1,9),(2,5),(3,8),(4,10),(6,7)] => 1
[(1,8),(2,5),(3,9),(4,10),(6,7)] => 1
[(1,7),(2,5),(3,9),(4,10),(6,8)] => 1
[(1,6),(2,5),(3,9),(4,10),(7,8)] => 1
[(1,5),(2,6),(3,9),(4,10),(7,8)] => 1
[(1,4),(2,6),(3,9),(5,10),(7,8)] => 1
[(1,3),(2,6),(4,9),(5,10),(7,8)] => 1
[(1,2),(3,6),(4,9),(5,10),(7,8)] => 2
[(1,2),(3,5),(4,9),(6,10),(7,8)] => 2
[(1,3),(2,5),(4,9),(6,10),(7,8)] => 1
[(1,4),(2,5),(3,9),(6,10),(7,8)] => 1
[(1,5),(2,4),(3,9),(6,10),(7,8)] => 1
[(1,6),(2,4),(3,9),(5,10),(7,8)] => 1
[(1,7),(2,4),(3,9),(5,10),(6,8)] => 1
[(1,8),(2,4),(3,9),(5,10),(6,7)] => 1
[(1,9),(2,4),(3,8),(5,10),(6,7)] => 1
[(1,10),(2,4),(3,8),(5,9),(6,7)] => 1
[(1,10),(2,3),(4,8),(5,9),(6,7)] => 1
[(1,9),(2,3),(4,8),(5,10),(6,7)] => 1
[(1,8),(2,3),(4,9),(5,10),(6,7)] => 1
[(1,7),(2,3),(4,9),(5,10),(6,8)] => 1
[(1,6),(2,3),(4,9),(5,10),(7,8)] => 1
[(1,5),(2,3),(4,9),(6,10),(7,8)] => 1
[(1,4),(2,3),(5,9),(6,10),(7,8)] => 2
[(1,3),(2,4),(5,9),(6,10),(7,8)] => 2
[(1,2),(3,4),(5,9),(6,10),(7,8)] => 3
[(1,2),(3,4),(5,10),(6,9),(7,8)] => 3
[(1,3),(2,4),(5,10),(6,9),(7,8)] => 2
[(1,4),(2,3),(5,10),(6,9),(7,8)] => 2
[(1,5),(2,3),(4,10),(6,9),(7,8)] => 1
[(1,6),(2,3),(4,10),(5,9),(7,8)] => 1
[(1,7),(2,3),(4,10),(5,9),(6,8)] => 1
[(1,8),(2,3),(4,10),(5,9),(6,7)] => 1
[(1,9),(2,3),(4,10),(5,8),(6,7)] => 1
[(1,10),(2,3),(4,9),(5,8),(6,7)] => 1
[(1,10),(2,4),(3,9),(5,8),(6,7)] => 1
[(1,9),(2,4),(3,10),(5,8),(6,7)] => 1
[(1,8),(2,4),(3,10),(5,9),(6,7)] => 1
[(1,7),(2,4),(3,10),(5,9),(6,8)] => 1
[(1,6),(2,4),(3,10),(5,9),(7,8)] => 1
[(1,5),(2,4),(3,10),(6,9),(7,8)] => 1
[(1,4),(2,5),(3,10),(6,9),(7,8)] => 1
[(1,3),(2,5),(4,10),(6,9),(7,8)] => 1
[(1,2),(3,5),(4,10),(6,9),(7,8)] => 2
[(1,2),(3,6),(4,10),(5,9),(7,8)] => 2
[(1,3),(2,6),(4,10),(5,9),(7,8)] => 1
[(1,4),(2,6),(3,10),(5,9),(7,8)] => 1
[(1,5),(2,6),(3,10),(4,9),(7,8)] => 1
[(1,6),(2,5),(3,10),(4,9),(7,8)] => 1
[(1,7),(2,5),(3,10),(4,9),(6,8)] => 1
[(1,8),(2,5),(3,10),(4,9),(6,7)] => 1
[(1,9),(2,5),(3,10),(4,8),(6,7)] => 1
[(1,10),(2,5),(3,9),(4,8),(6,7)] => 1
[(1,10),(2,6),(3,9),(4,8),(5,7)] => 1
[(1,9),(2,6),(3,10),(4,8),(5,7)] => 1
[(1,8),(2,6),(3,10),(4,9),(5,7)] => 1
[(1,7),(2,6),(3,10),(4,9),(5,8)] => 1
[(1,6),(2,7),(3,10),(4,9),(5,8)] => 1
[(1,5),(2,7),(3,10),(4,9),(6,8)] => 1
[(1,4),(2,7),(3,10),(5,9),(6,8)] => 1
[(1,3),(2,7),(4,10),(5,9),(6,8)] => 1
[(1,2),(3,7),(4,10),(5,9),(6,8)] => 2
[(1,2),(3,8),(4,10),(5,9),(6,7)] => 2
[(1,3),(2,8),(4,10),(5,9),(6,7)] => 1
[(1,4),(2,8),(3,10),(5,9),(6,7)] => 1
[(1,5),(2,8),(3,10),(4,9),(6,7)] => 1
[(1,6),(2,8),(3,10),(4,9),(5,7)] => 1
[(1,7),(2,8),(3,10),(4,9),(5,6)] => 1
[(1,8),(2,7),(3,10),(4,9),(5,6)] => 1
[(1,9),(2,7),(3,10),(4,8),(5,6)] => 1
[(1,10),(2,7),(3,9),(4,8),(5,6)] => 1
[(1,10),(2,8),(3,9),(4,7),(5,6)] => 1
[(1,9),(2,8),(3,10),(4,7),(5,6)] => 1
[(1,8),(2,9),(3,10),(4,7),(5,6)] => 1
[(1,7),(2,9),(3,10),(4,8),(5,6)] => 1
[(1,6),(2,9),(3,10),(4,8),(5,7)] => 1
[(1,5),(2,9),(3,10),(4,8),(6,7)] => 1
[(1,4),(2,9),(3,10),(5,8),(6,7)] => 1
[(1,3),(2,9),(4,10),(5,8),(6,7)] => 1
[(1,2),(3,9),(4,10),(5,8),(6,7)] => 2
[(1,2),(3,10),(4,9),(5,8),(6,7)] => 2
[(1,3),(2,10),(4,9),(5,8),(6,7)] => 1
[(1,4),(2,10),(3,9),(5,8),(6,7)] => 1
[(1,5),(2,10),(3,9),(4,8),(6,7)] => 1
[(1,6),(2,10),(3,9),(4,8),(5,7)] => 1
[(1,7),(2,10),(3,9),(4,8),(5,6)] => 1
[(1,8),(2,10),(3,9),(4,7),(5,6)] => 1
[(1,9),(2,10),(3,8),(4,7),(5,6)] => 1
[(1,10),(2,9),(3,8),(4,7),(5,6)] => 1
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => 1
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => 3
[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => 1
[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => 2
[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => 2
[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => 1
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => 5
[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => 1
[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => 2
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => 4
[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => 1
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => 4
[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => 2
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => 3
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => 1
[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => 3
[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => 1
[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => 2
[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => 2
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => 1
[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => 4
[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => 1
[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => 2
[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => 3
[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => 1
[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => 3
[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => 2
[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => 2
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => 1
[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => 4
[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => 1
[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => 2
[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => 3
[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => 1
[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => 3
[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => 2
[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => 2
[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => 1
[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => 3
[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => 3
[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => 2
[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => 2
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => 1
[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => 3
[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => 1
[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => 2
[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => 2
[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => 1
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => 6
[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => 1
[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => 2
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => 5
[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => 1
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => 5
[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => 2
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => 4
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => 1
[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => 3
[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => 1
[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => 2
[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => 2
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => 1
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => 4
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => 1
[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => 2
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => 3
[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => 1
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => 3
[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => 2
[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => 2
[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => 1
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => 5
[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => 1
[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => 2
[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => 4
[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => 1
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => 4
[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => 2
[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => 3
[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => 1
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => 3
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => 4
[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => 2
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => 3
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => 1
[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => 3
[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => 1
[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => 2
[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => 2
[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => 1
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => 5
[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => 1
[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => 2
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => 4
[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => 1
[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => 4
[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => 2
[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => 3
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => 1
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => 4
[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => 1
[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => 2
[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => 3
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => 1
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => 3
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => 2
[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => 2
[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => 1
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => 4
[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => 3
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => 3
[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => 2
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => 1
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => 4
[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => 1
[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => 2
[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => 3
[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => 1
[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => 3
[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => 2
[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => 2
[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => 1
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => 3
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => 3
[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => 2
[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => 2
[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => 1
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => 3
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => 3
[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => 2
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => 2
[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => 2
[(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => 5
[(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => 5
[(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => 4
[(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => 4
[(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => 5
[(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => 4
[(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => 4
[(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => 3
[(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => 3
[(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => 4
[(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => 3
[(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => 3
[(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => 3
[(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => 5
[(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => 4
[(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => 4
[(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => 3
[(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => 3
[(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => 4
[(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => 3
[(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => 3
[(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => 2
[(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => 2
[(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => 3
[(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => 2
[(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => 2
[(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => 2
[(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => 4
[(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => 3
[(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => 3
[(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => 2
[(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => 2
[(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => 3
[(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => 2
[(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => 2
[(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => 2
[(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => 3
[(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => 2
[(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => 2
[(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => 2
[(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => 2
[(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => 5
[(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => 4
[(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => 4
[(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => 3
[(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => 3
[(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => 4
[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => 3
[(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => 3
[(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => 2
[(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => 2
[(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => 3
[(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => 2
[(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)] => 2
[(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)] => 2
[(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => 4
[(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => 3
[(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => 3
[(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => 2
[(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)] => 2
[(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => 3
[(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => 2
[(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => 2
[(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => 1
[(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => 1
[(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => 2
[(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => 1
[(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => 1
[(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => 1
[(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => 3
[(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => 2
[(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => 2
[(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => 1
[(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => 1
[(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => 2
[(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => 1
[(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => 1
[(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => 1
[(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => 2
[(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => 1
[(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => 1
[(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => 1
[(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => 1
[(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => 4
[(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => 3
[(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => 3
[(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)] => 2
[(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)] => 2
[(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => 3
[(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => 2
[(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => 2
[(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => 1
[(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => 1
[(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => 2
[(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => 1
[(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => 1
[(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => 1
[(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => 3
[(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)] => 2
[(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => 2
[(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => 1
[(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => 1
[(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => 2
[(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => 1
[(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => 1
[(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => 1
[(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => 2
[(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => 1
[(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => 1
[(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => 1
[(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => 1
[(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => 3
[(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)] => 2
[(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => 2
[(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => 1
[(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => 1
[(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => 2
[(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => 1
[(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => 1
[(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => 1
[(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => 2
[(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => 1
[(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => 1
[(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => 1
[(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => 1
[(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => 2
[(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => 1
[(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => 1
[(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => 1
[(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => 1
[(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => 1
[(1,2),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10)] => 2
[(1,2),(3,14),(4,13),(5,6),(7,12),(8,9),(10,11)] => 2
[(1,2),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10)] => 2
[(1,2),(3,14),(4,13),(5,8),(6,7),(9,12),(10,11)] => 2
[(1,2),(3,14),(4,13),(5,10),(6,7),(8,9),(11,12)] => 2
[(1,2),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11)] => 2
[(1,2),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10)] => 2
[(1,2),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13)] => 2
[(1,2),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12)] => 2
[(1,2),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11)] => 2
[(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10)] => 2
[(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9)] => 2
[(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10)] => 2
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8),(13,14)] => 2
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9),(13,14)] => 2
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8),(13,14)] => 2
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9),(13,14)] => 2
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10),(13,14)] => 2
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9),(13,14)] => 2
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8),(13,14)] => 2
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,14),(12,13)] => 2
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14)] => 2
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10),(13,14)] => 2
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9),(13,14)] => 2
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,14)] => 2
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14)] => 2
[(1,2),(3,16),(4,15),(5,14),(6,7),(8,13),(9,12),(10,11)] => 2
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)] => 2
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,12),(10,11)] => 2
[(1,2),(3,16),(4,15),(5,14),(6,11),(7,10),(8,9),(12,13)] => 2
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)] => 2
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)] => 2
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)] => 2
[(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9),(15,16)] => 2
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10),(15,16)] => 2
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9),(15,16)] => 2
[(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11),(15,16)] => 2
[(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10),(15,16)] => 2
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(15,16)] => 2
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16)] => 2
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,18)] => 2
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)] => 2
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(17,18)] => 2
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)] => 2
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11),(17,18)] => 2
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10),(17,18)] => 2
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)] => 2
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,9),(10,13),(11,12)] => 2
[(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(19,20)] => 2
[(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)] => 2
[(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11),(19,20)] => 2
[(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)] => 2
[(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(21,22)] => 2
[(1,2),(3,22),(4,21),(5,20),(6,19),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)] => 2
[(1,2),(3,4),(5,6),(7,9),(8,12),(10,11)] => 4
[(1,2),(3,4),(5,6),(7,10),(8,12),(9,11)] => 4
[(1,2),(3,4),(5,6),(7,11),(8,9),(10,12)] => 4
[(1,2),(3,4),(5,6),(7,11),(8,10),(9,12)] => 4
[(1,2),(3,4),(5,6),(7,11),(8,12),(9,10)] => 4
[(1,2),(3,4),(5,6),(7,12),(8,10),(9,11)] => 4
[(1,2),(3,4),(5,7),(6,8),(9,12),(10,11)] => 4
[(1,2),(3,4),(5,7),(6,9),(8,12),(10,11)] => 3
[(1,2),(3,4),(5,7),(6,10),(8,9),(11,12)] => 4
[(1,2),(3,4),(5,7),(6,10),(8,12),(9,11)] => 3
[(1,2),(3,4),(5,7),(6,11),(8,9),(10,12)] => 3
[(1,2),(3,4),(5,7),(6,11),(8,10),(9,12)] => 3
[(1,2),(3,4),(5,7),(6,11),(8,12),(9,10)] => 3
[(1,2),(3,4),(5,7),(6,12),(8,9),(10,11)] => 3
[(1,2),(3,4),(5,7),(6,12),(8,10),(9,11)] => 3
[(1,2),(3,4),(5,7),(6,12),(8,11),(9,10)] => 3
[(1,2),(3,4),(5,8),(6,7),(9,11),(10,12)] => 4
[(1,2),(3,4),(5,8),(6,9),(7,12),(10,11)] => 3
[(1,2),(3,4),(5,8),(6,10),(7,12),(9,11)] => 3
[(1,2),(3,4),(5,8),(6,10),(7,9),(11,12)] => 4
[(1,2),(3,4),(5,8),(6,11),(7,12),(9,10)] => 3
[(1,2),(3,4),(5,8),(6,11),(7,10),(9,12)] => 3
[(1,2),(3,4),(5,8),(6,11),(7,9),(10,12)] => 3
[(1,2),(3,4),(5,8),(6,12),(7,11),(9,10)] => 3
[(1,2),(3,4),(5,8),(6,12),(7,10),(9,11)] => 3
[(1,2),(3,4),(5,8),(6,12),(7,9),(10,11)] => 3
[(1,2),(3,4),(5,9),(6,7),(8,10),(11,12)] => 4
[(1,2),(3,4),(5,9),(6,7),(8,11),(10,12)] => 3
[(1,2),(3,4),(5,9),(6,7),(8,12),(10,11)] => 3
[(1,2),(3,4),(5,9),(6,8),(7,12),(10,11)] => 3
[(1,2),(3,4),(5,9),(6,8),(7,11),(10,12)] => 3
[(1,2),(3,4),(5,9),(6,8),(7,10),(11,12)] => 4
[(1,2),(3,4),(5,9),(6,10),(7,12),(8,11)] => 3
[(1,2),(3,4),(5,9),(6,10),(7,8),(11,12)] => 4
[(1,2),(3,4),(5,9),(6,11),(7,12),(8,10)] => 3
[(1,2),(3,4),(5,9),(6,11),(7,10),(8,12)] => 3
[(1,2),(3,4),(5,9),(6,11),(7,8),(10,12)] => 3
[(1,2),(3,4),(5,9),(6,12),(7,11),(8,10)] => 3
[(1,2),(3,4),(5,9),(6,12),(7,10),(8,11)] => 3
[(1,2),(3,4),(5,9),(6,12),(7,8),(10,11)] => 3
[(1,2),(3,4),(5,10),(6,7),(8,11),(9,12)] => 3
[(1,2),(3,4),(5,10),(6,7),(8,12),(9,11)] => 3
[(1,2),(3,4),(5,10),(6,8),(7,12),(9,11)] => 3
[(1,2),(3,4),(5,10),(6,8),(7,11),(9,12)] => 3
[(1,2),(3,4),(5,10),(6,8),(7,9),(11,12)] => 4
[(1,2),(3,4),(5,10),(6,9),(7,12),(8,11)] => 3
[(1,2),(3,4),(5,10),(6,9),(7,11),(8,12)] => 3
[(1,2),(3,4),(5,10),(6,11),(7,12),(8,9)] => 3
[(1,2),(3,4),(5,10),(6,11),(7,9),(8,12)] => 3
[(1,2),(3,4),(5,10),(6,11),(7,8),(9,12)] => 3
[(1,2),(3,4),(5,10),(6,12),(7,11),(8,9)] => 3
[(1,2),(3,4),(5,10),(6,12),(7,9),(8,11)] => 3
[(1,2),(3,4),(5,10),(6,12),(7,8),(9,11)] => 3
[(1,2),(3,4),(5,11),(6,7),(8,9),(10,12)] => 3
[(1,2),(3,4),(5,11),(6,7),(8,10),(9,12)] => 3
[(1,2),(3,4),(5,11),(6,7),(8,12),(9,10)] => 3
[(1,2),(3,4),(5,11),(6,8),(7,12),(9,10)] => 3
[(1,2),(3,4),(5,11),(6,8),(7,10),(9,12)] => 3
[(1,2),(3,4),(5,11),(6,8),(7,9),(10,12)] => 3
[(1,2),(3,4),(5,11),(6,9),(7,12),(8,10)] => 3
[(1,2),(3,4),(5,11),(6,9),(7,10),(8,12)] => 3
[(1,2),(3,4),(5,11),(6,9),(7,8),(10,12)] => 3
[(1,2),(3,4),(5,11),(6,10),(7,12),(8,9)] => 3
[(1,2),(3,4),(5,11),(6,10),(7,9),(8,12)] => 3
[(1,2),(3,4),(5,11),(6,10),(7,8),(9,12)] => 3
[(1,2),(3,4),(5,11),(6,12),(7,10),(8,9)] => 3
[(1,2),(3,4),(5,11),(6,12),(7,9),(8,10)] => 3
[(1,2),(3,4),(5,11),(6,12),(7,8),(9,10)] => 3
[(1,2),(3,4),(5,12),(6,7),(8,10),(9,11)] => 3
[(1,2),(3,4),(5,12),(6,8),(7,11),(9,10)] => 3
[(1,2),(3,4),(5,12),(6,8),(7,10),(9,11)] => 3
[(1,2),(3,4),(5,12),(6,8),(7,9),(10,11)] => 3
[(1,2),(3,4),(5,12),(6,9),(7,11),(8,10)] => 3
[(1,2),(3,4),(5,12),(6,9),(7,10),(8,11)] => 3
[(1,2),(3,4),(5,12),(6,10),(7,11),(8,9)] => 3
[(1,2),(3,4),(5,12),(6,10),(7,9),(8,11)] => 3
[(1,2),(3,4),(5,12),(6,10),(7,8),(9,11)] => 3
[(1,2),(3,4),(5,12),(6,11),(7,9),(8,10)] => 3
[(1,2),(3,5),(4,6),(7,8),(9,12),(10,11)] => 4
[(1,2),(3,5),(4,6),(7,9),(8,12),(10,11)] => 3
[(1,2),(3,5),(4,6),(7,10),(8,9),(11,12)] => 4
[(1,2),(3,5),(4,6),(7,10),(8,12),(9,11)] => 3
[(1,2),(3,5),(4,6),(7,11),(8,9),(10,12)] => 3
[(1,2),(3,5),(4,6),(7,11),(8,10),(9,12)] => 3
[(1,2),(3,5),(4,6),(7,11),(8,12),(9,10)] => 3
[(1,2),(3,5),(4,6),(7,12),(8,9),(10,11)] => 3
[(1,2),(3,5),(4,6),(7,12),(8,10),(9,11)] => 3
[(1,2),(3,5),(4,6),(7,12),(8,11),(9,10)] => 3
[(1,2),(3,5),(4,7),(6,8),(9,12),(10,11)] => 3
[(1,2),(3,5),(4,7),(6,9),(8,12),(10,11)] => 2
[(1,2),(3,5),(4,7),(6,10),(8,9),(11,12)] => 3
[(1,2),(3,5),(4,7),(6,10),(8,12),(9,11)] => 2
[(1,2),(3,5),(4,7),(6,11),(8,9),(10,12)] => 2
[(1,2),(3,5),(4,7),(6,11),(8,10),(9,12)] => 2
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Created: Jun 07, 2017 at 20:55 by Michael Breunig
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Last Updated: May 14, 2018 at 21:03 by Martin Rubey