initial 100
average payoff: 3.00000

initial 99
average payoff: 2.90897

initial 98
average payoff: 2.83782

initial 97
average payoff: 2.79142

initial 96
average payoff: 2.73108

initial 95
average payoff: 2.68414

initial 94
average payoff: 2.64572

initial 93
average payoff: 2.60492

initial 92
average payoff: 2.58183

initial 91
average payoff: 2.58027

initial 90
average payoff: 2.55534

initial 89
average payoff: 2.55255

initial 88
average payoff: 2.54363

initial 87
average payoff: 2.54116

initial 86
average payoff: 2.56476

initial 85
average payoff: 2.55814

initial 84
average payoff: 2.57020

initial 83
average payoff: 2.57599

initial 82
average payoff: 2.57912

initial 81
average payoff: 2.58317

initial 80
average payoff: 2.59893

initial 79
average payoff: 2.61370

initial 78
average payoff: 2.63673

initial 77
average payoff: 2.63744

initial 76
average payoff: 2.65832

initial 75
average payoff: 2.66412

initial 74
average payoff: 2.68306

initial 73
average payoff: 2.70841

initial 72
average payoff: 2.72745

initial 71
average payoff: 2.73310

initial 70
average payoff: 2.74564

initial 69
average payoff: 2.77265

initial 68
average payoff: 2.78855

initial 67
average payoff: 2.82385

initial 66
average payoff: 2.84054

initial 65
average payoff: 2.86036

initial 64
average payoff: 2.87521

initial 63
average payoff: 2.91067

initial 62
average payoff: 2.91832

initial 61
average payoff: 2.92836

initial 60
average payoff: 2.96553

initial 59
average payoff: 2.96702

initial 58
average payoff: 2.96819

initial 57
average payoff: 3.01488

initial 56
average payoff: 3.00747

initial 55
average payoff: 3.05899

initial 54
average payoff: 3.08026

initial 53
average payoff: 3.07154

initial 52
average payoff: 3.12738

initial 51
average payoff: 3.12382

initial 50
average payoff: 3.13392

