# enum cost for 60 --> 50 --> 40

0 7.04938299771 9.46277114435 5.20012430192
1 7.18406207244 9.63449586164 5.3015414956
2 7.31483431759 9.7978683845 5.39861994128
3 7.33899122811 9.82993823748 5.41224767958
4 7.42762699836 9.94414336238 5.47690770722
5 7.48214067343 10.0168180603 5.51602094521
6 7.4889452221 10.0252555428 5.51516626403
7 7.54533698024 10.0975295892 5.55243433293
8 7.55505076242 10.1119216678 5.55358542189
9 7.64772237704 10.2322837694 5.61999619248
10 7.6623940447 10.254711905 5.62873346439
11 7.76961326552 10.3971647158 5.71111811055
12 7.79384385619 10.437266272 5.73129891707
13 7.86423067371 10.5357586191 5.78569363826
14 7.90774719554 10.5995864278 5.8178847305
15 7.90460877899 10.6076381437 5.81259668149
16 7.98495040625 10.7229807157 5.87606776043
17 8.00412680224 10.7610250134 5.89032079048
18 8.00802948934 10.7803246618 5.89225930605
19 8.05651770746 10.859415582 5.92731261808
20 8.16868869813 11.0189075478 6.01248046902
21 8.20809129955 11.0890553387 6.03741963714
22 8.16711665222 11.0615608572 5.99852462113
23 8.20531058378 11.1331287783 6.02091068684
24 8.25066683427 11.2167401054 6.04971275928
25 8.32764127841 11.3387752803 6.10113499799
26 8.34385617054 11.3876938173 6.10260229114
27 8.37074574118 11.4512752285 6.11294350856
28 8.42957012416 11.5563346728 6.14781408287
29 8.44228278684 11.6033611745 6.14326891642
30 8.48815984891 11.6911894425 6.16381689511
31 8.54065073082 11.7838264153 6.1883177951
32 8.59272069194 11.8774422139 6.21047413881
33 8.61771505797 11.9369724662 6.21136049372
34 8.65183653537 12.0070698396 6.21715051016
35 8.73917374745 12.147429769 6.26562058755
36 8.79399771901 12.2430739061 6.28699825853
37 8.88294121716 12.3825377364 6.33430978739
38 8.915363182 12.4467864642 6.33651331749
39 8.96308439643 12.5276761333 6.35159038638
40 8.98538133067 12.5637410202 6.34763940548
41 9.05108888266 12.2618398697 6.38048529741
42 9.14967986843 11.9984375632 6.4379626431
43 9.21946085518 11.7021286319 6.47347660181
44 9.29721833096 11.4167111661 6.51596305585
45 9.38743873124 11.1444565501 6.56525761163
46 9.49965551915 10.8986853487 6.63490726725
47 9.57249644692 10.6112950327 6.67329124765
48 9.6813514663 10.3677308504 6.7430385324
49 9.67874483046 10.011675615 6.72890270705
50 9.76847871744 9.76847871744 6.79585981469
51 9.46979392116 9.46979392116 6.81506416534
52 9.24760350443 9.24760350443 6.8949363518
53 9.00999036988 9.00999036988 6.96077444487
54 8.79697055393 8.79697055393 7.04618367909
55 8.4964438937 8.4964438937 7.05692331907
56 8.2792993138 8.2792993138 7.13647159972
57 8.04333575764 8.04333575764 7.19699593253
58 7.85718166581 7.85718166581 7.29866530318
59 7.61902479608 7.61902479608 7.34850520592
60 7.45281391337 7.45281391337 7.45281391337
61 7.25471902211 7.25471902211 7.25471902211
62 7.03442058249 7.03442058249 7.03442058249
63 6.81329621184 6.81329621184 6.81329621184
64 6.62236955805 6.62236955805 6.62236955805
65 6.43847102957 6.43847102957 6.43847102957
66 6.23383186147 6.23383186147 6.23383186147
67 6.03147520229 6.03147520229 6.03147520229
68 5.85379194705 5.85379194705 5.85379194705
69 5.66356965635 5.66356965635 5.66356965635
70 5.47606135164 5.47606135164 5.47606135164
71 5.30085838061 5.30085838061 5.30085838061
72 5.11380813541 5.11380813541 5.11380813541
73 4.95020217556 4.95020217556 4.95020217556
74 4.76845319432 4.76845319432 4.76845319432
75 4.58889305186 4.58889305186 4.58889305186
76 4.43881810967 4.43881810967 4.43881810967
77 4.27613989653 4.27613989653 4.27613989653
78 4.09477091618 4.09477091618 4.09477091618
79 3.93933232256 3.93933232256 3.93933232256
80 3.78104246813 3.78104246813 3.78104246813
81 3.62385060579 3.62385060579 3.62385060579
82 3.48012471688 3.48012471688 3.48012471688
83 3.33031666564 3.33031666564 3.33031666564
84 3.20193039559 3.20193039559 3.20193039559
85 3.04327113963 3.04327113963 3.04327113963
86 2.91927275854 2.91927275854 2.91927275854
87 2.7801940771 2.7801940771 2.7801940771
88 2.64085532073 2.64085532073 2.64085532073
89 2.51691455067 2.51691455067 2.51691455067
90 2.40342885224 2.40342885224 2.40342885224
91 2.25240153913 2.25240153913 2.25240153913
92 2.11299805673 2.11299805673 2.11299805673
93 1.95995969588 1.95995969588 1.95995969588
94 1.78513288251 1.78513288251 1.78513288251
95 1.60456147883 1.60456147883 1.60456147883
96 1.39391390818 1.39391390818 1.39391390818
97 1.14733752471 1.14733752471 1.14733752471
98 0.821376218128 0.821376218128 0.821376218128