initial 100
average payoff: 3.00000

initial 99
average payoff: 2.89366

initial 98
average payoff: 2.79891

initial 97
average payoff: 2.70568

initial 96
average payoff: 2.59803

initial 95
average payoff: 2.51784

initial 94
average payoff: 2.44896

initial 93
average payoff: 2.35760

initial 92
average payoff: 2.28165

initial 91
average payoff: 2.22132

initial 90
average payoff: 2.12193

initial 89
average payoff: 2.05928

initial 88
average payoff: 1.99850

initial 87
average payoff: 1.94397

initial 86
average payoff: 1.87564

initial 85
average payoff: 1.81609

initial 84
average payoff: 1.78114

initial 83
average payoff: 1.71237

initial 82
average payoff: 1.68563

initial 81
average payoff: 1.63470

initial 80
average payoff: 1.58160

initial 79
average payoff: 1.53622

initial 78
average payoff: 1.50339

initial 77
average payoff: 1.44952

initial 76
average payoff: 1.42351

initial 75
average payoff: 1.38452

initial 74
average payoff: 1.34386

initial 73
average payoff: 1.30521

initial 72
average payoff: 1.27001

initial 71
average payoff: 1.23350

initial 70
average payoff: 1.21912

initial 69
average payoff: 1.19525

initial 68
average payoff: 1.16864

initial 67
average payoff: 1.14558

initial 66
average payoff: 1.09799

initial 65
average payoff: 1.08507

initial 64
average payoff: 1.06613

initial 63
average payoff: 1.04369

initial 62
average payoff: 1.01344

initial 61
average payoff: 0.99121

initial 60
average payoff: 0.97467

initial 59
average payoff: 0.94250

initial 58
average payoff: 0.92847

initial 57
average payoff: 0.90791

initial 56
average payoff: 0.90880

initial 55
average payoff: 0.85910

initial 54
average payoff: 0.84872

initial 53
average payoff: 0.82059

initial 52
average payoff: 0.82003

initial 51
average payoff: 0.79478

initial 50
average payoff: 0.77597

