initial 100
average payoff: 3.00000

initial 99
average payoff: 2.97863

initial 98
average payoff: 2.96173

initial 97
average payoff: 2.93561

initial 96
average payoff: 2.91041

initial 95
average payoff: 2.89115

initial 94
average payoff: 2.87014

initial 93
average payoff: 2.85739

initial 92
average payoff: 2.83540

initial 91
average payoff: 2.81947

initial 90
average payoff: 2.79908

initial 89
average payoff: 2.77924

initial 88
average payoff: 2.76053

initial 87
average payoff: 2.75052

initial 86
average payoff: 2.73573

initial 85
average payoff: 2.72714

initial 84
average payoff: 2.71010

initial 83
average payoff: 2.68482

initial 82
average payoff: 2.68931

initial 81
average payoff: 2.65578

initial 80
average payoff: 2.64676

initial 79
average payoff: 2.63274

initial 78
average payoff: 2.63799

initial 77
average payoff: 2.60341

initial 76
average payoff: 2.59934

initial 75
average payoff: 2.58612

initial 74
average payoff: 2.59059

initial 73
average payoff: 2.56934

initial 72
average payoff: 2.55724

initial 71
average payoff: 2.55575

initial 70
average payoff: 2.53493

initial 69
average payoff: 2.52565

initial 68
average payoff: 2.50748

initial 67
average payoff: 2.50609

initial 66
average payoff: 2.48466

initial 65
average payoff: 2.48061

initial 64
average payoff: 2.47370

initial 63
average payoff: 2.45356

initial 62
average payoff: 2.44410

initial 61
average payoff: 2.44013

initial 60
average payoff: 2.42245

initial 59
average payoff: 2.41788

initial 58
average payoff: 2.41173

initial 57
average payoff: 2.40280

initial 56
average payoff: 2.39069

initial 55
average payoff: 2.39313

initial 54
average payoff: 2.37154

initial 53
average payoff: 2.37762

initial 52
average payoff: 2.36830

initial 51
average payoff: 2.35685

initial 50
average payoff: 2.35125

