initial 100
average payoff: 3.00000

initial 99
average payoff: 2.98217

initial 98
average payoff: 2.96515

initial 97
average payoff: 2.94580

initial 96
average payoff: 2.92606

initial 95
average payoff: 2.91225

initial 94
average payoff: 2.89919

initial 93
average payoff: 2.88128

initial 92
average payoff: 2.86450

initial 91
average payoff: 2.84904

initial 90
average payoff: 2.82847

initial 89
average payoff: 2.82182

initial 88
average payoff: 2.79643

initial 87
average payoff: 2.78936

initial 86
average payoff: 2.76564

initial 85
average payoff: 2.75721

initial 84
average payoff: 2.74201

initial 83
average payoff: 2.72448

initial 82
average payoff: 2.70765

initial 81
average payoff: 2.70376

initial 80
average payoff: 2.68988

initial 79
average payoff: 2.67874

initial 78
average payoff: 2.66034

initial 77
average payoff: 2.65678

initial 76
average payoff: 2.64475

initial 75
average payoff: 2.64100

initial 74
average payoff: 2.62180

initial 73
average payoff: 2.61712

initial 72
average payoff: 2.59196

initial 71
average payoff: 2.58296

initial 70
average payoff: 2.57724

initial 69
average payoff: 2.56654

initial 68
average payoff: 2.55518

initial 67
average payoff: 2.54680

initial 66
average payoff: 2.53514

initial 65
average payoff: 2.53008

initial 64
average payoff: 2.52569

initial 63
average payoff: 2.50621

initial 62
average payoff: 2.50684

initial 61
average payoff: 2.48764

initial 60
average payoff: 2.48435

initial 59
average payoff: 2.48497

initial 58
average payoff: 2.46069

initial 57
average payoff: 2.46442

initial 56
average payoff: 2.43926

initial 55
average payoff: 2.43791

initial 54
average payoff: 2.43482

initial 53
average payoff: 2.42776

initial 52
average payoff: 2.40256

initial 51
average payoff: 2.39975

initial 50
average payoff: 2.38390

