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bw in 9x9 table

Source: 2022 South Russian Girls MO - Assara Juniors p6

February 28, 2024
combinatoricsColoring

Problem Statement

The cells of the 9×99 \times 9 table are colored black and white. It turned out, that there were kk rows, in each of which there are more black cells than white ones white, and there were kk columns, each of which contained more than black. At what highest k k is this possible?