initial 100
average payoff: 3.00000

initial 99
average payoff: 2.97170

initial 98
average payoff: 2.94336

initial 97
average payoff: 2.92060

initial 96
average payoff: 2.89377

initial 95
average payoff: 2.85587

initial 94
average payoff: 2.83772

initial 93
average payoff: 2.80553

initial 92
average payoff: 2.78555

initial 91
average payoff: 2.75348

initial 90
average payoff: 2.71925

initial 89
average payoff: 2.69007

initial 88
average payoff: 2.65636

initial 87
average payoff: 2.63712

initial 86
average payoff: 2.60768

initial 85
average payoff: 2.60329

initial 84
average payoff: 2.56712

initial 83
average payoff: 2.54521

initial 82
average payoff: 2.51072

initial 81
average payoff: 2.48583

initial 80
average payoff: 2.47709

initial 79
average payoff: 2.46627

initial 78
average payoff: 2.42779

initial 77
average payoff: 2.41189

initial 76
average payoff: 2.39288

initial 75
average payoff: 2.36069

initial 74
average payoff: 2.34699

initial 73
average payoff: 2.33090

initial 72
average payoff: 2.31189

initial 71
average payoff: 2.29392

initial 70
average payoff: 2.28309

initial 69
average payoff: 2.26021

initial 68
average payoff: 2.22968

initial 67
average payoff: 2.22813

initial 66
average payoff: 2.18709

initial 65
average payoff: 2.17604

initial 64
average payoff: 2.16504

initial 63
average payoff: 2.14303

initial 62
average payoff: 2.12852

initial 61
average payoff: 2.12273

initial 60
average payoff: 2.06399

initial 59
average payoff: 2.06408

initial 58
average payoff: 2.05504

initial 57
average payoff: 2.03833

initial 56
average payoff: 2.02686

initial 55
average payoff: 2.01493

initial 54
average payoff: 1.96933

initial 53
average payoff: 1.99002

initial 52
average payoff: 1.95368

initial 51
average payoff: 1.92001

initial 50
average payoff: 1.89507

