Problem

Problem of the Day #63

POTD February 8, 2024

Consider a 10 \times 10 grid of numbers, each cell filled with 1, 2, 3, or 4, such that each 2 \times 2 square contains all different numbers. Let S be the sum of the number in the corners of the grid. Find the sum of all possible values of S.


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Problem Tags: Counting and probability Number theory

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