initial 100
average payoff: 3.00000

initial 99
average payoff: 2.99979

initial 98
average payoff: 2.99904

initial 97
average payoff: 2.99808

initial 96
average payoff: 2.99547

initial 95
average payoff: 2.99562

initial 94
average payoff: 2.99232

initial 93
average payoff: 2.98830

initial 92
average payoff: 2.98908

initial 91
average payoff: 2.98371

initial 90
average payoff: 2.97933

initial 89
average payoff: 2.97306

initial 88
average payoff: 2.97084

initial 87
average payoff: 2.96517

initial 86
average payoff: 2.95575

initial 85
average payoff: 2.95041

initial 84
average payoff: 2.94738

initial 83
average payoff: 2.92995

initial 82
average payoff: 2.93325

initial 81
average payoff: 2.91834

initial 80
average payoff: 2.91978

initial 79
average payoff: 2.91042

initial 78
average payoff: 2.89215

initial 77
average payoff: 2.88480

initial 76
average payoff: 2.88126

initial 75
average payoff: 2.86596

initial 74
average payoff: 2.85417

initial 73
average payoff: 2.84964

initial 72
average payoff: 2.83545

initial 71
average payoff: 2.82696

initial 70
average payoff: 2.81328

initial 69
average payoff: 2.79378

initial 68
average payoff: 2.78166

initial 67
average payoff: 2.77326

initial 66
average payoff: 2.75994

initial 65
average payoff: 2.74179

initial 64
average payoff: 2.72442

initial 63
average payoff: 2.71221

initial 62
average payoff: 2.70087

initial 61
average payoff: 2.68245

initial 60
average payoff: 2.65647

initial 59
average payoff: 2.63586

initial 58
average payoff: 2.62587

initial 57
average payoff: 2.60478

initial 56
average payoff: 2.59227

initial 55
average payoff: 2.56566

initial 54
average payoff: 2.55033

initial 53
average payoff: 2.53209

initial 52
average payoff: 2.53080

initial 51
average payoff: 2.49699

initial 50
average payoff: 2.46591

