initial 100
average payoff: 3.00000

initial 99
average payoff: 2.92356

initial 98
average payoff: 2.85195

initial 97
average payoff: 2.78649

initial 96
average payoff: 2.72403

initial 95
average payoff: 2.67187

initial 94
average payoff: 2.61179

initial 93
average payoff: 2.56671

initial 92
average payoff: 2.53773

initial 91
average payoff: 2.47160

initial 90
average payoff: 2.43928

initial 89
average payoff: 2.39766

initial 88
average payoff: 2.36764

initial 87
average payoff: 2.35452

initial 86
average payoff: 2.30481

initial 85
average payoff: 2.28184

initial 84
average payoff: 2.26073

initial 83
average payoff: 2.23049

initial 82
average payoff: 2.21019

initial 81
average payoff: 2.17504

initial 80
average payoff: 2.16138

initial 79
average payoff: 2.16346

initial 78
average payoff: 2.14573

initial 77
average payoff: 2.11247

initial 76
average payoff: 2.09103

initial 75
average payoff: 2.09451

initial 74
average payoff: 2.08228

initial 73
average payoff: 2.05720

initial 72
average payoff: 2.04763

initial 71
average payoff: 2.04275

initial 70
average payoff: 2.03016

initial 69
average payoff: 2.00699

initial 68
average payoff: 2.00281

initial 67
average payoff: 2.01095

initial 66
average payoff: 2.01499

initial 65
average payoff: 1.98638

initial 64
average payoff: 1.98717

initial 63
average payoff: 1.98341

initial 62
average payoff: 1.98610

initial 61
average payoff: 1.96788

initial 60
average payoff: 1.94720

initial 59
average payoff: 1.96013

initial 58
average payoff: 1.95555

initial 57
average payoff: 1.94928

initial 56
average payoff: 1.95025

initial 55
average payoff: 1.94261

initial 54
average payoff: 1.93806

initial 53
average payoff: 1.95336

initial 52
average payoff: 1.93109

initial 51
average payoff: 1.93515

initial 50
average payoff: 1.92922

