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Winning Strategy for Baskin Robbins 31 Game

Type FlowchartStandard Sugiyama layered DAG + orthogonal routingEngine schematex-flowchartUpdated 7/12/2026
Winning Strategy for Baskin Robbins 31 Game
Drawing preview
The scenario

The Baskin Robbins 31 game is a two-player counting game where players say 1-3 numbers in sequence, and the player who says 31 loses. The first player can force a win by always landing on safe numbers (2, 6, 10, ..., 30).

What is in this drawing

Read the decisions behind it.

01

Deciding the initial move (saying 1, 2 to land on 2).

02

Responding to opponent's move with the complement to 4 to maintain a winning position.

Useful for understanding impartial games and winning strategies in combinatorial game theory.

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