New answers tagged optimization
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Bow or lazy checkmate?
This seems to fit the criteria as far as I understand it (with white winning):
Why optimal path?
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Accepted
Is "Connect 4 is Excellent, Connect 3 is Great" a solved game?
Here is one idea to consider. In classic connect 4, you can always win if you go first. In this version of connect 4, the
The strategy is simple.
This results in a board where
While this strategy ...
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Laziest Checkmate
With the rules clarified by OP I see at least 80 variations achieving a score of
Main branches:
For a subtotal of 16 variations.
And the branch found by @Sneftel:
For a subtotal of 64 variations.
...
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Packing the Primes
Proof of optimality:
Note that there is only one redundant digit. We'll show by contradiction that there is no arrangement without redundant digits.
Otherwise, since 2,5,7,8 all have to pair with 3 ...
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