Syzygy endgame tablebases

Black is winning DTZ 123

Nf5 Win with DTZ 122

Kxb2 Draw Ka1 Draw Kb1 Draw Kb3 Draw Ra1 Draw Re2 Draw Re3 Draw Re4 Draw Re6 Draw Re7 Draw Re8+ Draw Rf1 Draw Rh1 Draw Ne2 Draw Ne4 Draw Nf1 Draw Nh1 Draw Nh5 Draw

Rb1 Loss with DTZ 2 Rc1 Loss with DTZ 2 Rd1 Loss with DTZ 2 Rg1 Loss with DTZ 2 Re5 Loss with DTZ 1

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

KPPPvKRN.pgn lichess.org

Histogram: KPPP losing vs. KRN (log scale)

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Longest KPPPvKRN phases

KPPPvKRN statistics (unique positions)

White wins:
223,406,440,320 (23.0%)

Frustrated white wins:
726,918 (0.0%)

Draws:
109,248,459,000 (11.3%)

Frustrated black wins:
3,312,978 (0.0%)

Black wins:
637,172,753,028 (65.7%)

KPPPvKRN.json (?)

KPPPvKRN dependencies

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

KQPPvKRN · KRPPvKRN · KPPPvKN · KBPPvKRN · KNPPvKRN · KPPPvKR · KRNvKPP

KPPPvKRN.txt KPPPvKRN.dot