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BP1282 If two players take turns moving moving the black circles with the intention of capturing their opponent's piece, one can always "checkmate" the other vs. the game results in a draw if the players play optimally.
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COMMENTS

Players can only move their piece to a node connected to their current position. A win is secured by moving to a node your opponent is occupying.


Which player that can force a win in left-sorted examples can change depending on who moves first.

CROSSREFS

See BP1284 for an animated Problem about the same game.

Adjacent-numbered pages:
BP1277 BP1278 BP1279 BP1280 BP1281  *  BP1283 BP1284 BP1285 BP1286 BP1287

KEYWORD

allsorted, unwordable, notso, teach

CONCEPT capture_game (info | search)

AUTHOR

Leo Crabbe

BP1285 First to move wins vs. first to move loses.
(edit; present; nest [left/right]; search; history)
COMMENTS

In the depicted "capture game", the objective is to capture your opponent's piece by moving to a node they are occupying. Players take turns moving their pieces. You can only move to a node that is linked to yours. All examples are "boards" where either player can force a win, depending on who moves first.


Players are assumed to be making optimal choices.

CROSSREFS

Adjacent-numbered pages:
BP1280 BP1281 BP1282 BP1283 BP1284  *  BP1286 BP1287 BP1288 BP1289 BP1290

KEYWORD

stub

CONCEPT capture_game (info | search)

AUTHOR

Leo Crabbe

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