0: 0
1: 1
2: 2
3: 2
4: 3
5: 3
6: 3
7: 3
8: 4
9: 4
10: 4
11: 4
12: 4
13: 4
14: 4
15: 4
16: 5
17: 5
18: 5
19: 5
20: 5
21: 5
22: 5
23: 5
24: 5
25: 5
26: 5
27: 5
28: 5
29: 5
30: 5
31: 5
32: 6
33: 6
34: 6
35: 6
36: 6
37: 6
38: 6
39: 6
40: 6
41: 6
42: 6
43: 6
44: 6
45: 6
46: 6
47: 6
48: 6
49: 6
50: 6
51: 6
52: 6
53: 6
54: 6
55: 6
56: 6
57: 6
58: 6
59: 6
60: 6
61: 6
62: 6
63: 6
64: 7
65: 7
66: 7
67: 7
68: 7
69: 7
70: 7
71: 7
72: 7
73: 7
74: 7
75: 7
76: 7
77: 7
78: 7
79: 7
80: 7
81: 7
82: 7
83: 7
84: 7
85: 7
86: 7
87: 7
88: 7
89: 7
90: 7
91: 7
92: 7
93: 7
94: 7
95: 7
96: 7
97: 7
98: 7
99: 7