Deepest win for white:

[Event ""] [Date "2010.08.09"] [Site ""] [White "Perfect play"] [Black "Perfect play"] [Result "1-0"] [Round ""] [GameType "20"] [FEN "W:WK49:B2,4,5,44."] 1. 49x40 5-10 {4-10, 4-9, 2-8} 2. 40-34 {40-29, 40-23, 40-18, 40-12, 40-1, 40-45} 10-15 {10-14, 4-9, 2-8} 3. 34-29 {34-23, 34-18, 34-12, 34-1, 34-40, 34-45} 4-9 {2-8} 4. 29-23 {29-12, 29-1, 29-34, 29-40, 29-45} 15-20 {9-13, 2-8} 5. 23-12 {23-1, 23-29, 23-34, 23-40, 23-45} 20-25 {20-24, 9-14, 9-13} 6. 12-1 {12-23, 12-29, 12-34, 12-40, 12-45} 25-30 {9-14, 9-13, 2-8} 7. 1-12 {1-29, 1-40, 1-45} 30-35 {9-14, 9-13} 8. 12-1 {12-29, 12-34, 12-45} 9-14 {9-13, 2-8} 9. 1-12 {1-18, 1-34, 1-45} 14-20 {14-19} 10. 12-1 {12-18, 12-23, 12-34, 12-45} 20-25 {20-24, 2-8} 11. 1-18 {1-23, 1-29, 1-45} 25-30 {2-8} 12. 18-1 {18-23, 18-29, 18-45} 2-8 13. 1-7 {1-23, 1-29, 1-45} 8-13 14. 7-1 {7-12, 7-29, 7-45} 35-40 {13-19} 15. 1x45 13-19 16. 45-40 {45-29, 45-18, 45-12, 45-7, 45-1} 19-24 17. 40-23 {40-18, 40-12, 40-7, 40-1, 40-45} 30-35 18. 23-18 {23-12, 23-7, 23-1, 23-34, 23-45} 35-40 19. 18x45 24-30 20. 45-40 {45-29, 45-23, 45-18, 45-12, 45-7, 45-1, 45-50} 30-35 21. 40-34 {40-29, 40-23, 40-18, 40-12, 40-7, 40-1, 40-45, 40-44, 40-49} 35-40 22. 34x45 1-0

Non capture positions

Win: 10.612 (0.3%)
Draw: 14.745 (0.5%)
Lose: 3.186.315 (99.2%)

Number of positions with white to win in X moves
1: 0
2: 0
3: 0
4: 125
5: 585
6: 224
7: 66
8: 376
9: 395
10: 630
11: 933
12: 1.032
13: 1.127
14: 1.003
15: 963
16: 854
17: 769
18: 625
19: 497
20: 252
21: 117
22: 39
Number of positions with white to lose in X moves
1: 2.214
2: 2.562
3: 1.579
4: 1.053
5: 12.263
6: 70.222
7: 147.109
8: 205.191
9: 249.192
10: 263.762
11: 263.557
12: 260.663
13: 251.516
14: 232.873
15: 209.734
16: 186.029
17: 163.211
18: 139.678
19: 119.589
20: 100.516
21: 83.225
22: 66.121
23: 49.666
24: 35.809
25: 24.769
26: 16.141
27: 9.871
28: 5.450
29: 3.577
30: 2.393
31: 1.854
32: 1.378
33: 937
34: 452
35: 185
36: 52
37: 17
38: 3
39: 3

All positions

Win: 880.087 (12.8%)
Draw: 396.642 (5.8%)
Lose: 5.577.041 (81.4%)

Number of positions with white to win in X moves
1: 86.813
2: 43.579
3: 84.665
4: 172.991
5: 26.801
6: 18.001
7: 37.637
8: 55.874
9: 86.851
10: 90.816
11: 61.340
12: 40.549
13: 18.346
14: 12.804
15: 9.544
16: 8.046
17: 7.581
18: 6.244
19: 5.193
20: 3.278
21: 2.525
22: 609
Number of positions with white to lose in X moves
1: 61.410
2: 25.363
3: 4.667
4: 3.140
5: 19.210
6: 98.256
7: 208.770
8: 300.402
9: 353.418
10: 381.877
11: 390.497
12: 395.000
13: 392.677
14: 369.704
15: 356.918
16: 336.097
17: 311.147
18: 285.069
19: 255.676
20: 221.317
21: 201.609
22: 169.040
23: 122.751
24: 100.736
25: 73.594
26: 50.821
27: 31.837
28: 20.583
29: 12.617
30: 8.380
31: 4.835
32: 2.876
33: 2.100
34: 1.515
35: 824
36: 364
37: 39
38: 3
39: 3