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Easy combinatorics problem

Source: 1st TASIMO Day2, Problem4

May 19, 2024
combinatorics

Problem Statement

Given positive integers a,b,a,b, find the least positive integer mm such that among any mm distinct integers in the interval [āˆ’a,b][-a,b] there are three pair-wise distinct numbers that their sum is zero. Proposed by Marian Tetiva, Romania
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