0: cost: 0.2025089579890268
1: cost: 0.319866471251663
2: cost: 0.003416298968960306
3: cost: 0.0004000310320064439
4: cost: 0.4915806218906621
5: cost: 0.000002566228601778062
6: cost: 0.49944265082129863
7: cost: 0.4998707121841445
8: cost: 0.4999711071687858
9: cost: 0.49999368053173404
10: cost: 0.4999986339855547
11: cost: 4.3053700823534264e-14
12: cost: 1.9739130855479e-15
13: cost: 9.01997049508818e-17
14: cost: 4.1148139157009685e-18
15: cost: 1.875535015849369e-19