initial 100
average payoff: 3.00000

initial 99
average payoff: 3.01739

initial 98
average payoff: 3.03367

initial 97
average payoff: 3.05023

initial 96
average payoff: 3.06504

initial 95
average payoff: 3.07790

initial 94
average payoff: 3.09583

initial 93
average payoff: 3.09787

initial 92
average payoff: 3.11170

initial 91
average payoff: 3.12609

initial 90
average payoff: 3.13090

initial 89
average payoff: 3.13544

initial 88
average payoff: 3.13822

initial 87
average payoff: 3.14371

initial 86
average payoff: 3.15188

initial 85
average payoff: 3.15972

initial 84
average payoff: 3.15293

initial 83
average payoff: 3.16919

initial 82
average payoff: 3.16153

initial 81
average payoff: 3.16608

initial 80
average payoff: 3.17056

initial 79
average payoff: 3.16886

initial 78
average payoff: 3.16536

initial 77
average payoff: 3.17353

initial 76
average payoff: 3.15909

initial 75
average payoff: 3.16754

initial 74
average payoff: 3.16320

initial 73
average payoff: 3.17661

initial 72
average payoff: 3.17537

initial 71
average payoff: 3.17953

initial 70
average payoff: 3.17313

initial 69
average payoff: 3.18758

initial 68
average payoff: 3.17735

initial 67
average payoff: 3.18653

initial 66
average payoff: 3.18687

initial 65
average payoff: 3.19133

initial 64
average payoff: 3.18214

initial 63
average payoff: 3.19315

initial 62
average payoff: 3.19441

initial 61
average payoff: 3.19491

initial 60
average payoff: 3.21170

initial 59
average payoff: 3.21260

initial 58
average payoff: 3.22028

initial 57
average payoff: 3.23000

initial 56
average payoff: 3.21749

initial 55
average payoff: 3.23527

initial 54
average payoff: 3.25348

initial 53
average payoff: 3.26126

initial 52
average payoff: 3.26851

initial 51
average payoff: 3.29066

initial 50
average payoff: 3.29593

