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Source: Indonesia National Math Olympiad 2021 Problem 1 (INAMO 2021/1)

November 8, 2021
combinatorics

Problem Statement

On the whiteboard, the numbers are written sequentially: 1 2 3 4 5 6 7 8 91 \ 2 \ 3 \ 4 \ 5 \ 6 \ 7 \ 8 \ 9. Andi has to paste a ++ (plus) sign or - (minus) sign in between every two successive numbers, and compute the value. Determine the least odd positive integer that Andi can't get from this process.