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In: Advanced Math

A circle is divided in 6 sectors by 3 diameters. Each sector contains a pawn. We...

A circle is divided in 6 sectors by 3 diameters.
Each sector contains a pawn. We are allowed to chose two pawns and
move each of them to a sector bordering the one it stands on at the
moment.
Is it possible to gather all 6 pawns in one sector using such
operations? Prove your answer

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