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{1,2,...,33} partitioned into 11 three-element sets

Source: Switzerland - Swiss TST 1999 p2

February 19, 2020
partitionSubsetsSumcombinatorics

Problem Statement

Can the set {1,2,...,33}\{1,2,...,33\} be partitioned into 1111 three-element sets, in each of which one element equals the sum of the other two?
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