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Girls in Math at Yale 2022 Problem 2: Filling In Grid

Source:

February 27, 2022
Yalecollege

Problem Statement

How many ways are there to fill in a 2×22\times 2 square grid with the numbers 1,2,3,1,2,3, and 44 such that the numbers in any two grid squares that share an edge have an absolute difference of at most 22?
Proposed by Andrew Wu
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