initial 100
average payoff: 3.00000

initial 99
average payoff: 2.97167

initial 98
average payoff: 2.94793

initial 97
average payoff: 2.92296

initial 96
average payoff: 2.89338

initial 95
average payoff: 2.87727

initial 94
average payoff: 2.84714

initial 93
average payoff: 2.82699

initial 92
average payoff: 2.80723

initial 91
average payoff: 2.78598

initial 90
average payoff: 2.76325

initial 89
average payoff: 2.74071

initial 88
average payoff: 2.72941

initial 87
average payoff: 2.70034

initial 86
average payoff: 2.68389

initial 85
average payoff: 2.66855

initial 84
average payoff: 2.64913

initial 83
average payoff: 2.63069

initial 82
average payoff: 2.60397

initial 81
average payoff: 2.59781

initial 80
average payoff: 2.57379

initial 79
average payoff: 2.55436

initial 78
average payoff: 2.54506

initial 77
average payoff: 2.53491

initial 76
average payoff: 2.51045

initial 75
average payoff: 2.50441

initial 74
average payoff: 2.49088

initial 73
average payoff: 2.46862

initial 72
average payoff: 2.46425

initial 71
average payoff: 2.44225

initial 70
average payoff: 2.42247

initial 69
average payoff: 2.41992

initial 68
average payoff: 2.41433

initial 67
average payoff: 2.38996

initial 66
average payoff: 2.38407

initial 65
average payoff: 2.36598

initial 64
average payoff: 2.35360

initial 63
average payoff: 2.33575

initial 62
average payoff: 2.32314

initial 61
average payoff: 2.30102

initial 60
average payoff: 2.29828

initial 59
average payoff: 2.28425

initial 58
average payoff: 2.27041

initial 57
average payoff: 2.24870

initial 56
average payoff: 2.23309

initial 55
average payoff: 2.22315

initial 54
average payoff: 2.20245

initial 53
average payoff: 2.18543

initial 52
average payoff: 2.18505

initial 51
average payoff: 2.16756

initial 50
average payoff: 2.15593

