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Magic rectangle (almost)

Source: Kyiv City MO 2021 Round 1, Problem 7.4

December 21, 2023
permutationsrectangleMagic squares

Problem Statement

A rectangle 3×53 \times 5 is divided into 1515 1×11 \times 1 cells. The middle 33 cells that have no common points with the border of the rectangle are deleted. Is it possible to put in the remaining 1212 cells numbers 1,2,…,121, 2, \ldots, 12 in some order, so that the sums of the numbers in the cells along each of the four sides of the rectangle are equal?
Proposed by Mariia Rozhkova
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