initial 100
average payoff: 3.00000

initial 99
average payoff: 3.01567

initial 98
average payoff: 3.03291

initial 97
average payoff: 3.04814

initial 96
average payoff: 3.06340

initial 95
average payoff: 3.07341

initial 94
average payoff: 3.07887

initial 93
average payoff: 3.09174

initial 92
average payoff: 3.10140

initial 91
average payoff: 3.11293

initial 90
average payoff: 3.11397

initial 89
average payoff: 3.12365

initial 88
average payoff: 3.12581

initial 87
average payoff: 3.12844

initial 86
average payoff: 3.12864

initial 85
average payoff: 3.13751

initial 84
average payoff: 3.13897

initial 83
average payoff: 3.13402

initial 82
average payoff: 3.14551

initial 81
average payoff: 3.13332

initial 80
average payoff: 3.14399

initial 79
average payoff: 3.12909

initial 78
average payoff: 3.14026

initial 77
average payoff: 3.13166

initial 76
average payoff: 3.13650

initial 75
average payoff: 3.13028

initial 74
average payoff: 3.13136

initial 73
average payoff: 3.14056

initial 72
average payoff: 3.12638

initial 71
average payoff: 3.13546

initial 70
average payoff: 3.12809

initial 69
average payoff: 3.13089

initial 68
average payoff: 3.13852

initial 67
average payoff: 3.14021

initial 66
average payoff: 3.11920

initial 65
average payoff: 3.11837

initial 64
average payoff: 3.12004

initial 63
average payoff: 3.12972

initial 62
average payoff: 3.11372

initial 61
average payoff: 3.11381

initial 60
average payoff: 3.12685

initial 59
average payoff: 3.12032

initial 58
average payoff: 3.13491

initial 57
average payoff: 3.13594

initial 56
average payoff: 3.13259

initial 55
average payoff: 3.12821

initial 54
average payoff: 3.15224

initial 53
average payoff: 3.14482

initial 52
average payoff: 3.14557

initial 51
average payoff: 3.15955

initial 50
average payoff: 3.16270

