initial 100
average payoff: 3.00000

initial 99
average payoff: 3.01032

initial 98
average payoff: 3.01805

initial 97
average payoff: 3.02830

initial 96
average payoff: 3.03552

initial 95
average payoff: 3.04494

initial 94
average payoff: 3.05500

initial 93
average payoff: 3.06197

initial 92
average payoff: 3.05703

initial 91
average payoff: 3.06699

initial 90
average payoff: 3.08268

initial 89
average payoff: 3.08896

initial 88
average payoff: 3.10341

initial 87
average payoff: 3.10315

initial 86
average payoff: 3.10331

initial 85
average payoff: 3.10747

initial 84
average payoff: 3.13810

initial 83
average payoff: 3.12980

initial 82
average payoff: 3.15424

initial 81
average payoff: 3.15132

initial 80
average payoff: 3.15164

initial 79
average payoff: 3.16293

initial 78
average payoff: 3.16786

initial 77
average payoff: 3.17757

initial 76
average payoff: 3.18840

initial 75
average payoff: 3.17547

initial 74
average payoff: 3.19216

initial 73
average payoff: 3.19530

initial 72
average payoff: 3.19783

initial 71
average payoff: 3.19303

initial 70
average payoff: 3.22071

initial 69
average payoff: 3.21124

initial 68
average payoff: 3.22357

initial 67
average payoff: 3.21586

initial 66
average payoff: 3.22569

initial 65
average payoff: 3.23898

initial 64
average payoff: 3.23802

initial 63
average payoff: 3.25725

initial 62
average payoff: 3.25266

initial 61
average payoff: 3.24270

initial 60
average payoff: 3.23599

initial 59
average payoff: 3.25679

initial 58
average payoff: 3.25797

initial 57
average payoff: 3.26658

initial 56
average payoff: 3.27285

initial 55
average payoff: 3.26171

initial 54
average payoff: 3.27544

initial 53
average payoff: 3.26967

initial 52
average payoff: 3.28410

initial 51
average payoff: 3.27326

initial 50
average payoff: 3.27106

