Syzygy endgame tablebases

Black is winning with DTZ 123

Qd2+ Win with DTZ 122

Kg1 Draw Kg2 Draw Kg3 Draw Kh1 Draw Kh3 Draw Qa6 Draw Qb6 Draw Qc1 Draw Qf4 Draw Qf8 Draw Qg5 Draw Qg7 Draw Qh3 Draw Qh5 Draw Qh7 Draw Rd8 Draw Rg8 Draw

Qe3 Loss with DTZ 2 Qf6 Loss with DTZ 2 Qh4 Loss with DTZ 2 Ra8 Loss with DTZ 2 Rb8 Loss with DTZ 2 Rf8 Loss with DTZ 2 Rh7 Loss with DTZ 2 Qc6+ Loss with DTZ 1 Qd6+ Loss with DTZ 1 Qe6+ Loss with DTZ 1 Qg6 Loss with DTZ 1 Rc8 Loss with DTZ 1 Re8 Loss with DTZ 1

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

KNNPvKQR.pgn lichess.org

Histogram: KNNP losing vs. KQR (log scale)

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Longest KNNPvKQR phases

KNNPvKQR statistics (unique positions)

White wins:
15,046,901,788 (1.0%)

Frustrated white wins:
88,096 (0.0%)

Draws:
232,799,304,142 (16.2%)

Frustrated black wins:
12,981,736 (0.0%)

Black wins:
1,188,829,847,102 (82.7%)

KNNPvKQR.json (?)

KNNPvKQR dependencies

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

KQNNvKQR · KNNPvKR · KRNNvKQR · KNNPvKQ · KBNNvKQR · KNNNvKQR · KQRvKNP · KQRvKNN

KNNPvKQR.txt KNNPvKQR.dot