initial 100
average payoff: 3.00000

initial 99
average payoff: 2.83749

initial 98
average payoff: 2.70049

initial 97
average payoff: 2.56120

initial 96
average payoff: 2.43934

initial 95
average payoff: 2.31491

initial 94
average payoff: 2.24970

initial 93
average payoff: 2.17530

initial 92
average payoff: 2.09682

initial 91
average payoff: 2.00995

initial 90
average payoff: 1.94984

initial 89
average payoff: 1.90204

initial 88
average payoff: 1.83818

initial 87
average payoff: 1.78514

initial 86
average payoff: 1.75753

initial 85
average payoff: 1.70003

initial 84
average payoff: 1.66121

initial 83
average payoff: 1.62298

initial 82
average payoff: 1.58432

initial 81
average payoff: 1.54359

initial 80
average payoff: 1.52282

initial 79
average payoff: 1.48022

initial 78
average payoff: 1.46136

initial 77
average payoff: 1.43906

initial 76
average payoff: 1.40462

initial 75
average payoff: 1.38433

initial 74
average payoff: 1.36113

initial 73
average payoff: 1.34241

initial 72
average payoff: 1.33610

initial 71
average payoff: 1.30329

initial 70
average payoff: 1.27352

initial 69
average payoff: 1.26259

initial 68
average payoff: 1.25247

initial 67
average payoff: 1.23166

initial 66
average payoff: 1.22621

initial 65
average payoff: 1.21691

initial 64
average payoff: 1.18568

initial 63
average payoff: 1.17687

initial 62
average payoff: 1.16889

initial 61
average payoff: 1.14056

initial 60
average payoff: 1.13053

initial 59
average payoff: 1.12759

initial 58
average payoff: 1.11397

initial 57
average payoff: 1.09908

initial 56
average payoff: 1.08877

initial 55
average payoff: 1.07853

initial 54
average payoff: 1.06433

initial 53
average payoff: 1.05468

initial 52
average payoff: 1.05695

initial 51
average payoff: 1.03245

initial 50
average payoff: 1.02627

