#19107: Do not count 4 times the same solution (up to rotations) in
QuantuminoSolver
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Reporter: slabbe | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.9
Component: combinatorics | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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The following computation takes a lot of time:
{{{
sage: from sage.games.quantumino import QuantuminoSolver
sage: QuantuminoSolver(0).number_of_solutions() # long time (several
days)
}}}
A solution is a tiling of a 5x8x2 box. Since a 5x8x2 box has four
orientation preserving isometries that preserves it, each solution up to
rotation is counted four times in the computation above.
It is possible to avoid to compute 4 times the same solution. This ticket
does this by choosing a piece and considering 4 times less positions for
that piece.
This ticket was created from a split into two parts of #18987.
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Ticket URL: <http://trac.sagemath.org/ticket/19107>
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