Difference between revisions of "2014 Canadian MO Problems/Problem 2"
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Latest revision as of 22:27, 26 November 2023
Problem
Let and
be odd positive integers. Each square of an
by
board is coloured red or blue. A row is said to be red-dominated if there are more red squares than blue squares in the row. A column is said to be blue-dominated if there are more blue squares than red squares in the column. Determine the maximum possible value of the number of red-dominated rows plus the number of blue-dominated columns. Express your answer in terms of
and
.
Solution
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