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.
11
votes
Accepted
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
6
votes
6
votes
5
votes
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 ...
4
votes
3
votes
Accepted
2
votes
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.
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 ...
Only top scored, non community-wiki answers of a minimum length are eligible
Related Tags
combinatorics × 800mathematics × 488
logical-deduction × 91
optimization × 90
geometry × 69
chess × 49
no-computers × 43
checkerboard × 40
strategy × 36
tiling × 35
probability × 33
calculation-puzzle × 29
graph-theory × 29
weighing × 24
reachability × 23
algorithm × 21
visual × 19
polyomino × 19
computer-puzzle × 17
game × 17
number-theory × 16
primes × 12
dissection × 11
magic-square × 10
grid-deduction × 9