initial 100
average payoff: 2.20000

initial 99
average payoff: 2.25528

initial 98
average payoff: 2.30844

initial 97
average payoff: 2.37352

initial 96
average payoff: 2.41508

initial 95
average payoff: 2.47692

initial 94
average payoff: 2.53672

initial 93
average payoff: 2.58064

initial 92
average payoff: 2.63088

initial 91
average payoff: 2.67196

initial 90
average payoff: 2.72676

initial 89
average payoff: 2.77268

initial 88
average payoff: 2.82212

initial 87
average payoff: 2.89668

initial 86
average payoff: 2.93920

initial 85
average payoff: 2.98948

initial 84
average payoff: 3.01956

initial 83
average payoff: 3.06040

initial 82
average payoff: 3.12212

initial 81
average payoff: 3.16064

initial 80
average payoff: 3.23428

initial 79
average payoff: 3.24196

initial 78
average payoff: 3.30680

initial 77
average payoff: 3.33896

initial 76
average payoff: 3.38716

initial 75
average payoff: 3.44000

initial 74
average payoff: 3.46756

initial 73
average payoff: 3.50288

initial 72
average payoff: 3.56164

initial 71
average payoff: 3.59616

initial 70
average payoff: 3.62084

initial 69
average payoff: 3.65008

initial 68
average payoff: 3.71892

initial 67
average payoff: 3.71348

initial 66
average payoff: 3.75040

initial 65
average payoff: 3.80416

initial 64
average payoff: 3.84180

initial 63
average payoff: 3.87920

initial 62
average payoff: 3.90796

initial 61
average payoff: 3.95020

initial 60
average payoff: 3.97116

initial 59
average payoff: 4.01764

initial 58
average payoff: 4.03596

initial 57
average payoff: 4.09308

initial 56
average payoff: 4.12212

initial 55
average payoff: 4.14976

initial 54
average payoff: 4.18044

initial 53
average payoff: 4.21988

initial 52
average payoff: 4.24016

initial 51
average payoff: 4.26204

initial 50
average payoff: 4.30312

