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ASU 498 All Soviet Union MO 1989 23x23 square tiled with 1x1, 2x2, 3x3

Source:

August 13, 2019
combinatorial geometrycombinatoricsTiling

Problem Statement

A 23×2323 \times 23 square is tiled with 1×1,2×21 \times 1, 2 \times 2 and 3×33 \times 3 squares. What is the smallest possible number of 1×11 \times 1 squares?
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