initial 100
average payoff: 3.00000

initial 99
average payoff: 2.96180

initial 98
average payoff: 2.91650

initial 97
average payoff: 2.88005

initial 96
average payoff: 2.84866

initial 95
average payoff: 2.80284

initial 94
average payoff: 2.76208

initial 93
average payoff: 2.75445

initial 92
average payoff: 2.71410

initial 91
average payoff: 2.69063

initial 90
average payoff: 2.65600

initial 89
average payoff: 2.65129

initial 88
average payoff: 2.61829

initial 87
average payoff: 2.59586

initial 86
average payoff: 2.58354

initial 85
average payoff: 2.55477

initial 84
average payoff: 2.53514

initial 83
average payoff: 2.54561

initial 82
average payoff: 2.49639

initial 81
average payoff: 2.49962

initial 80
average payoff: 2.46516

initial 79
average payoff: 2.45761

initial 78
average payoff: 2.44852

initial 77
average payoff: 2.43393

initial 76
average payoff: 2.41804

initial 75
average payoff: 2.40762

initial 74
average payoff: 2.40269

initial 73
average payoff: 2.40190

initial 72
average payoff: 2.36492

initial 71
average payoff: 2.35428

initial 70
average payoff: 2.36282

initial 69
average payoff: 2.34272

initial 68
average payoff: 2.34811

initial 67
average payoff: 2.35759

initial 66
average payoff: 2.32563

initial 65
average payoff: 2.31358

initial 64
average payoff: 2.31319

initial 63
average payoff: 2.29329

initial 62
average payoff: 2.30629

initial 61
average payoff: 2.29769

initial 60
average payoff: 2.29524

initial 59
average payoff: 2.28863

initial 58
average payoff: 2.25646

initial 57
average payoff: 2.25694

initial 56
average payoff: 2.25829

initial 55
average payoff: 2.24529

initial 54
average payoff: 2.23141

initial 53
average payoff: 2.24859

initial 52
average payoff: 2.21586

initial 51
average payoff: 2.23678

initial 50
average payoff: 2.23238

