Experimental Results by McRandom Executor: Ingo Althoefer, March 2010 Self-play Results of Pure Monte-Carlo for Pass-Step-Race-18 Pairing Number Score of MC(k) MC(k)-MC(2k) of games 1-2 10,000 38.3 % 2-4 10,000 35.5 % 3-6 10,000 34.4 % 4-8 10,000 32.4 % 5-10 10,000 32.7 % 6-12 10,000 31.0 % 8-16 10,000 29.3 % 10-20 10,000 28.5 % 12-24 10,000 27.3 % 14-28 10,000 27.8 % 16-32 10,000 26.6 % 18-36 10,000 26.1 % 20-40 10,000 26.1 % 22-44 10,000 25.9 % 24-48 10,000 25.9 % 32-64 10,000 25.6 % 40-80 10,000 25.6 % 60-120 10,000 26.9 % 80-160 10,000 30.2 % 100-200 10,000 32.7 % 200-400 10,000 44.2 % Bottom of basin likely between 32-64 and 40-80.