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Strategy for Counting Game

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Your question is Strategy for Counting Game. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

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Problem

Two people count numbers one after the other. One can add 1 or 2 each time, starting from 1. Whoever says 31 wins. What is the best strategy?