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Hanoi diagrams, fill numbers 0-9 with 3 of same sum (HOMC 2018 Team j9)

Source:

January 31, 2020
Sumalgebra

Problem Statement

Each of the thirty squares in the diagram below contains a number 0,1,2,3,4,5,6,7,8,90, 1, 2, 3, 4, 5, 6, 7, 8, 9 of which each number is used exactly three times. The sum of three numbers in three squares on each of the thirteen line segments is equal to SS. https://cdn.artofproblemsolving.com/attachments/8/0/3e056ebc252aee9ade1f45fd337cc6a2f84302.png