initial 100
average payoff: 3.00000

initial 99
average payoff: 3.01822

initial 98
average payoff: 3.03728

initial 97
average payoff: 3.05264

initial 96
average payoff: 3.06978

initial 95
average payoff: 3.09040

initial 94
average payoff: 3.10324

initial 93
average payoff: 3.11920

initial 92
average payoff: 3.13394

initial 91
average payoff: 3.15750

initial 90
average payoff: 3.16584

initial 89
average payoff: 3.18912

initial 88
average payoff: 3.19598

initial 87
average payoff: 3.21858

initial 86
average payoff: 3.23180

initial 85
average payoff: 3.24366

initial 84
average payoff: 3.26146

initial 83
average payoff: 3.27438

initial 82
average payoff: 3.29034

initial 81
average payoff: 3.30426

initial 80
average payoff: 3.31680

initial 79
average payoff: 3.33114

initial 78
average payoff: 3.35174

initial 77
average payoff: 3.36564

initial 76
average payoff: 3.38138

initial 75
average payoff: 3.39074

initial 74
average payoff: 3.40824

initial 73
average payoff: 3.42274

initial 72
average payoff: 3.44214

initial 71
average payoff: 3.44840

initial 70
average payoff: 3.46764

initial 69
average payoff: 3.46718

initial 68
average payoff: 3.49160

initial 67
average payoff: 3.50076

initial 66
average payoff: 3.51874

initial 65
average payoff: 3.53164

initial 64
average payoff: 3.54970

initial 63
average payoff: 3.56468

initial 62
average payoff: 3.57932

initial 61
average payoff: 3.58740

initial 60
average payoff: 3.60366

initial 59
average payoff: 3.62094

initial 58
average payoff: 3.63036

initial 57
average payoff: 3.64616

initial 56
average payoff: 3.65148

initial 55
average payoff: 3.67696

initial 54
average payoff: 3.68846

initial 53
average payoff: 3.71274

initial 52
average payoff: 3.71944

initial 51
average payoff: 3.73628

initial 50
average payoff: 3.75090

