Deepest win for white:

[Event ""] [Date "2010.08.17"] [Site ""] [White "Perfect play"] [Black "Perfect play"] [Result "1-0"] [Round ""] [GameType "20"] [FEN "W:WK18,K45,50:BK7,K34."] 1. 18x40 7-11 2. 40-44 11-16 3. 44-49 16-2 4. 49-35 2-11 {2-16} 5. 45-34 11-2 6. 34-39 2-7 7. 50-45 7-2 8. 35-49 2-16 9. 45-40 16-7 10. 39-34 7-11 11. 34-1 11-2 12. 40-34 2-16 13. 34-29 16-11 {16-2} 14. 49-44 11x50 15. 1-6 50-45 16. 6-1 45x23 {45x18, 45x12, 45x7} 17. 1x29 {1x34, 1x40, 1x45} 1-0

Non capture positions

Win: 999.766 (3.6%)
Draw: 26.558.244 (96.4%)
Lose: 4 (0.0%)

Number of positions with white to win in X moves
1: 0
2: 879.705
3: 113.621
4: 5.134
5: 1.053
6: 228
7: 25
Number of positions with white to lose in X moves
1: 0
2: 3

All positions

Win: 6.861.237 (12.0%)
Draw: 50.133.450 (87.6%)
Lose: 211.833 (0.4%)

Number of positions with white to win in X moves
1: 4.959.342
2: 1.360.393
3: 381.823
4: 105.187
5: 31.022
6: 12.118
7: 6.598
8: 2.131
9: 636
10: 325
11: 375
12: 268
13: 236
14: 428
15: 250
16: 100
17: 5
Number of positions with white to lose in X moves
1: 72.455
2: 16.893
3: 34.963
4: 79.123
5: 8.398