Syzygy endgame tablebases

White is losing with DTZ 162

Kd5 Loss with DTZ 161 Kd4 Loss with DTZ 157

Kd3 Loss with DTZ 29 Kb3 Loss with DTZ 3 Kb5 Loss with DTZ 1 Kc5 Loss with DTZ 1 Rd4 Loss with DTZ 1 Re4 Loss with DTZ 1 Rf1 Loss with DTZ 1 Rf2 Loss with DTZ 1 Rf3 Loss with DTZ 1 Rg4 Loss with DTZ 1 Rh4 Loss with DTZ 1 b3 Zeroing b4 Zeroing f6 Zeroing

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

KRPPvKQ.pgn lichess.org

Histogram: KRPP losing vs. KQ (log scale)

Longest KRPPvKQ phases

KRPPvKQ statistics (unique positions)

White wins:
5,065,049,512 (26.0%)

Frustrated white wins:
150,048 (0.0%)

Draws:
3,674,045,092 (18.9%)

Frustrated black wins:
4,013,920 (0.0%)

Black wins:
10,743,179,414 (55.1%)

KRPPvKQ.json (?)

KRPPvKQ dependencies

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

KQRPvKQ · KRPPvK · KRRPvKQ · KPPvKQ · KRBPvKQ · KRNPvKQ · KRPvKQ

KRPPvKQ.txt KRPPvKQ.dot