initial 100
average payoff: 3.00000

initial 99
average payoff: 2.97841

initial 98
average payoff: 2.96084

initial 97
average payoff: 2.93579

initial 96
average payoff: 2.91526

initial 95
average payoff: 2.89530

initial 94
average payoff: 2.87671

initial 93
average payoff: 2.85918

initial 92
average payoff: 2.83884

initial 91
average payoff: 2.82445

initial 90
average payoff: 2.80767

initial 89
average payoff: 2.79650

initial 88
average payoff: 2.78092

initial 87
average payoff: 2.76677

initial 86
average payoff: 2.76223

initial 85
average payoff: 2.74486

initial 84
average payoff: 2.73270

initial 83
average payoff: 2.72143

initial 82
average payoff: 2.71989

initial 81
average payoff: 2.70328

initial 80
average payoff: 2.69542

initial 79
average payoff: 2.68674

initial 78
average payoff: 2.68867

initial 77
average payoff: 2.67606

initial 76
average payoff: 2.66165

initial 75
average payoff: 2.65595

initial 74
average payoff: 2.65161

initial 73
average payoff: 2.64042

initial 72
average payoff: 2.64771

initial 71
average payoff: 2.62881

initial 70
average payoff: 2.62761

initial 69
average payoff: 2.63742

initial 68
average payoff: 2.63515

initial 67
average payoff: 2.61360

initial 66
average payoff: 2.61835

initial 65
average payoff: 2.59825

initial 64
average payoff: 2.59955

initial 63
average payoff: 2.59520

initial 62
average payoff: 2.60372

initial 61
average payoff: 2.60120

initial 60
average payoff: 2.60018

initial 59
average payoff: 2.61185

initial 58
average payoff: 2.58022

initial 57
average payoff: 2.59616

initial 56
average payoff: 2.59107

initial 55
average payoff: 2.58996

initial 54
average payoff: 2.56800

initial 53
average payoff: 2.56983

initial 52
average payoff: 2.57968

initial 51
average payoff: 2.57392

initial 50
average payoff: 2.59660

