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games · automata · pool

Cutthroat Pool DFA

النوع مخطط حالاتالمعيار OMG UML 2.5.1 §14 + Harel (1987) statechartالمحرّك schematex-stateآخر تحديث 10‏/8‏/2026
Cutthroat Pool DFA
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الطلب

“Draw a cutthroat pool state diagram with both players active, turns changing on misses or fouls, win states when an opponent's group is cleared, and self-loops after a win.”

جرّب إذنAdd a break state before player 1 starts.Change the win condition to require eight balls.
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اقرأ القرارات الكامنة وراءه.

01

Each player starts with exactly one ball to keep the state space finite and deterministic.

02

Accepting states (P1_Wins, P2_Wins) are sinks with self-loops for any remaining input.

03

Transitions distinguish pocket_own (eliminates yourself, opponent wins if they still have a ball) vs. pocket_opponent (eliminates opponent, you win if you still have a ball).

Use when teaching finite automata with a concrete, game-based example that illustrates deterministic transitions and accepting states without requiring a final/terminal node.

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