initial 100
average payoff: 3.00000

initial 99
average payoff: 2.98147

initial 98
average payoff: 2.96280

initial 97
average payoff: 2.94711

initial 96
average payoff: 2.92622

initial 95
average payoff: 2.90893

initial 94
average payoff: 2.89610

initial 93
average payoff: 2.87534

initial 92
average payoff: 2.85719

initial 91
average payoff: 2.83979

initial 90
average payoff: 2.82276

initial 89
average payoff: 2.81261

initial 88
average payoff: 2.78908

initial 87
average payoff: 2.77076

initial 86
average payoff: 2.76288

initial 85
average payoff: 2.75285

initial 84
average payoff: 2.74112

initial 83
average payoff: 2.72006

initial 82
average payoff: 2.70495

initial 81
average payoff: 2.69192

initial 80
average payoff: 2.67749

initial 79
average payoff: 2.66677

initial 78
average payoff: 2.65733

initial 77
average payoff: 2.63404

initial 76
average payoff: 2.62434

initial 75
average payoff: 2.62395

initial 74
average payoff: 2.61932

initial 73
average payoff: 2.59803

initial 72
average payoff: 2.60139

initial 71
average payoff: 2.58800

initial 70
average payoff: 2.57458

initial 69
average payoff: 2.56952

initial 68
average payoff: 2.56821

initial 67
average payoff: 2.54916

initial 66
average payoff: 2.55499

initial 65
average payoff: 2.53691

initial 64
average payoff: 2.52892

initial 63
average payoff: 2.52156

initial 62
average payoff: 2.51507

initial 61
average payoff: 2.52449

initial 60
average payoff: 2.50791

initial 59
average payoff: 2.50241

initial 58
average payoff: 2.50830

initial 57
average payoff: 2.49426

initial 56
average payoff: 2.50299

initial 55
average payoff: 2.48433

initial 54
average payoff: 2.48199

initial 53
average payoff: 2.49342

initial 52
average payoff: 2.48067

initial 51
average payoff: 2.47108

initial 50
average payoff: 2.47097

