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NMTC 2023 Junior P4

Source: NMTC 2023 Junior P4

November 8, 2023
nmtccombinatorics

Problem Statement

There are nn (an even number) bags. Each bag contains atleast one apple and at most nn apples. The total number of apples is 2n2n. Prove that it is always possible to divide the bags into two parts such that the number of apples in each part is nn.