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Mathematics, 23.06.2020 15:01 autumnhuls5720

Two players X and Y take alternate turns in a game, starting with the diagram alongside. At each turn, one player writes one of 1, 2 or 3 in an empty circle, so that no two circles connected by an edge contain the same number.

A player loses when they cannot go. In each of the five diagrams below it is Y’s turn.

In which of the diagrams can Y’s move ensure that X loses the game?

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