initial 100
average payoff: 3.00000

initial 99
average payoff: 2.98858

initial 98
average payoff: 2.97575

initial 97
average payoff: 2.95977

initial 96
average payoff: 2.94910

initial 95
average payoff: 2.93762

initial 94
average payoff: 2.92833

initial 93
average payoff: 2.92368

initial 92
average payoff: 2.90530

initial 91
average payoff: 2.89487

initial 90
average payoff: 2.88498

initial 89
average payoff: 2.87789

initial 88
average payoff: 2.86598

initial 87
average payoff: 2.86435

initial 86
average payoff: 2.85610

initial 85
average payoff: 2.84526

initial 84
average payoff: 2.83582

initial 83
average payoff: 2.84029

initial 82
average payoff: 2.80929

initial 81
average payoff: 2.83037

initial 80
average payoff: 2.80871

initial 79
average payoff: 2.80472

initial 78
average payoff: 2.79309

initial 77
average payoff: 2.79983

initial 76
average payoff: 2.78148

initial 75
average payoff: 2.79067

initial 74
average payoff: 2.78330

initial 73
average payoff: 2.76965

initial 72
average payoff: 2.78144

initial 71
average payoff: 2.76050

initial 70
average payoff: 2.76279

initial 69
average payoff: 2.75948

initial 68
average payoff: 2.75577

initial 67
average payoff: 2.75422

initial 66
average payoff: 2.74823

initial 65
average payoff: 2.76323

initial 64
average payoff: 2.75625

initial 63
average payoff: 2.74292

initial 62
average payoff: 2.73744

initial 61
average payoff: 2.74006

initial 60
average payoff: 2.74079

initial 59
average payoff: 2.73706

initial 58
average payoff: 2.71932

initial 57
average payoff: 2.73511

initial 56
average payoff: 2.74788

initial 55
average payoff: 2.72128

initial 54
average payoff: 2.72016

initial 53
average payoff: 2.73026

initial 52
average payoff: 2.73111

initial 51
average payoff: 2.73040

initial 50
average payoff: 2.72999

