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Problem 8 of Second round

Source: IX International Festival of Young Mathematicians Sozopol, Theme for 10-12 grade

September 22, 2018
tablecombinatoricscombinatorics unsolved

Problem Statement

Find all positive integers nn for which a square n x n can be covered with rectangles k x 1 and one square 1 x 1 when:
a) k=4k = 4 b) k=8k = 8
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