Syzygy endgame tablebases

White is winning with DTZ 102

Kb7 DTM 172 Win with DTZ 101

Ka7 Draw Kb5 Draw

Ka5 DTM 25 Loss with DTZ 1 c8=B DTM 29 Zeroing c8=N DTM 29 Zeroing c8=Q DTM 29 Zeroing c8=R DTM 29 Zeroing b7 DTM 27 Zeroing

This is a cursed win. Mate can be forced, but a draw can be achieved under the fifty-move rule.

KPPvKQ.pgn lichess.org

Histogram: KPP winning vs. KQ (log scale)

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Longest KPPvKQ phases

KPPvKQ statistics (unique positions)

White wins:
34,829,154 (9.4%)

Frustrated white wins:
3,288 (0.0%)

Draws:
29,704,666 (8.0%)

Black wins:
305,936,420 (82.6%)

KPPvKQ.json (?)

KPPvKQ dependencies

To probe all KPPvKQ positions, these tables and their transitive dependencies are also required:

KQPvKQ · KPPvK · KRPvKQ · KBPvKQ · KNPvKQ · KQvKP

KPPvKQ.txt KPPvKQ.dot