20 votes
Accepted

General attacking chessboard squares

UPDATE: I'll start the bidding with Here are the counts for all empty squares. These were hand counted so there is a residual chance of error.
Albert.Lang's user avatar
  • 5,217
11 votes
Accepted

Anna and Boris play the Red Blue game

That score is attainable with:
ralphmerridew's user avatar
6 votes

General attacking chessboard squares

Via integer linear programming, as in https://puzzling.stackexchange.com/a/102587/65277, here's another $8\times 8$, with And another $9\times 9$, with
RobPratt's user avatar
  • 13.6k
6 votes

General attacking chessboard squares

Some exotic solutions
Dmitry Kamenetsky's user avatar
6 votes

General attacking chessboard squares

Here is a solution for $N=8$:
Will Octagon Gibson's user avatar
5 votes

Binary Grid Challenge and X & O Conundrum

No matter what the initial grid is ...
Will Octagon Gibson's user avatar
4 votes
Accepted

Can you balance this poker deck?

Here is a partition where all hands are at least 17: Here is a partition with a 3 in the four of a kind hand: There are no partitions where all hands sum to at least 18 or that satisfy both the ...
Parcly Taxel's user avatar
  • 7,508
4 votes

General attacking chessboard squares

Here's another nice variant: Found with a SAT solver.
Aaron Windsor's user avatar
3 votes
Accepted

All poker hands from a single deck

I think this would work
hexomino's user avatar
  • 136k
2 votes

All poker hands from a single deck

My own solution:
Parcly Taxel's user avatar
  • 7,508
1 vote

All poker hands from a single deck

A bit late to the party, but I enjoyed working this out. Based on card images linked by @EricDuminil on SE's Board & Card Games. I removed the Aces of Hearts and Clubs.
Weather Vane's user avatar
  • 14.4k
1 vote

Maximum filled days

It seems to me there is a knapsack-like quality that would make perfect optimization difficult. (For example, if $d_i$ are rational, asking if it is possible to fill exactly one hour in a particular ...
tehtmi's user avatar
  • 3,241

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