initial 100
average payoff: 3.00000

initial 99
average payoff: 3.01104

initial 98
average payoff: 3.02222

initial 97
average payoff: 3.03278

initial 96
average payoff: 3.04173

initial 95
average payoff: 3.04701

initial 94
average payoff: 3.05991

initial 93
average payoff: 3.06376

initial 92
average payoff: 3.07113

initial 91
average payoff: 3.07588

initial 90
average payoff: 3.07807

initial 89
average payoff: 3.08050

initial 88
average payoff: 3.08374

initial 87
average payoff: 3.08549

initial 86
average payoff: 3.08822

initial 85
average payoff: 3.09295

initial 84
average payoff: 3.09236

initial 83
average payoff: 3.09090

initial 82
average payoff: 3.08731

initial 81
average payoff: 3.08368

initial 80
average payoff: 3.08755

initial 79
average payoff: 3.09475

initial 78
average payoff: 3.09245

initial 77
average payoff: 3.08997

initial 76
average payoff: 3.07615

initial 75
average payoff: 3.08496

initial 74
average payoff: 3.08090

initial 73
average payoff: 3.06309

initial 72
average payoff: 3.06729

initial 71
average payoff: 3.05810

initial 70
average payoff: 3.05148

initial 69
average payoff: 3.05264

initial 68
average payoff: 3.05127

initial 67
average payoff: 3.05404

initial 66
average payoff: 3.05123

initial 65
average payoff: 3.04023

initial 64
average payoff: 3.04360

initial 63
average payoff: 3.04008

initial 62
average payoff: 3.02261

initial 61
average payoff: 3.04121

initial 60
average payoff: 3.02511

initial 59
average payoff: 3.03107

initial 58
average payoff: 3.01376

initial 57
average payoff: 3.01160

initial 56
average payoff: 3.02650

initial 55
average payoff: 3.02525

initial 54
average payoff: 3.02648

initial 53
average payoff: 3.01708

initial 52
average payoff: 3.02650

initial 51
average payoff: 2.99605

initial 50
average payoff: 3.01296

