AMO-Bench 2025 Problem 36
- Answer
On a 19*19 board, a black or a white stone is placed on each of the 361 squares. An operation consists of choosing one row and one column and reversing the color of all 37 stones in that row and column. Find the largest integer n such that, regardless of the initial arrangement of stones, it is always possible to perform a sequence of such operations so that the number of black stones on the board is at least n.
Dataset text AMO-Bench. Open licence.
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