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reference.txt
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reference.txt
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**************************************
** How I derived the Rating Formula **
**************************************
As soon as I saw the blue post on combat ratings system, I began to think about coding this addon.
But Blizzard only gave us level 60 and 70 data about this system, and for an addon like this to work you need exact formula that will work for all levels.
So I need to reverse engineer the Combat Rating formula, and the process of obtaining this formula can be broken up into two simple steps.
1. Get more data
In order to obtain the exact formula, I will need more data points then just level 60 and 70. So I logged on and started asking random people about their crit% and crit ratings show in the Character frame, the problem was the crit% shown only has 2 two decimal places, which turned out to be insufficient for this matter.
So I started to dig in the DefaultUI lua files in search for a new API that will give a more precise crit% and I came up with this script /script DEFAULT_CHAT_FRAME:AddMessage(GetCombatRatingBonus(9)).
Now I need to log on again and ask random people to type that script and tell me that 13 decimal place crit% that it shows. This was not an easy task, as most people are unfamiliar with lua script, there are even people that immediately put me on ignore after I sent him this script lol.
After hours of work, this is what I got:
A B C D E F G H
Lv Type Rating Percentage =C/D 60base =E/F =1/G
19 crit 2 0.6753247631 2.9615380764 14 0.211538434 4.727273342
21 crit 2 0.5714285714 3.5000000000 14 0.25 4
22 crit 2 0.5306122010 3.7692310810 14 0.269230792 3.714285407
28 crit 2 0.3714286018 5.3846149445 14 0.384615353 2.6
29 crit 2 0.3537415195 5.6538457870 14 0.403846128 2.476190637
36 crit 14 1.8557142035 7.5442651532 14 0.538876082 1.855714204
48 crit 14 1.2999998760 10.7692317963 14 0.769230843 1.3
50 crit 14 1.2380952140 11.3076925278 14 0.807692323 1.238095214
60 crit 112 8.0000000000 14.0000000000 14 1 1
61 crit 56 3.8536582293 14.5316467285 14 1.037974766 0.963414557
62 hit 50 4.6341464061 10.7894735336 10 1.078947353 0.926829281
62 crit 56 3.7073167036 15.1052646637 14 1.078947476 0.926829176
63 crit 31 1.9712541049 15.7260293961 14 1.123287814 0.890243789
64 crit 17 1.0365853900 16.3999996185 14 1.171428544 0.853658556
65 crit 56 3.2682925906 17.1343288422 14 1.223880632 0.817073148
66 crit 168 9.3658536585 17.9375000000 14 1.28125 0.780487805
66 sp_hit 48 4.6829268293 10.2500000000 8 1.28125 0.780487805
67 crit 78 4.1445989933 18.8196735382 14 1.344262396 0.743902383
67 crit 76 4.0383272242 18.8196735382 14 1.344262396 0.743902383
2. Think very hard
After some creative thinking, this is what I got:
Percentage = Rating / F * H
Lv 8 to 60: 1/H = 1/52 * Level - 8/52
Lv 60 to 70: H = - 3/82 * Level + 131/41
F=
Weapon Skill 2.5
Expertise 2.5
Defense 1.5
Dodge 12.0
Parry 15.0
Block 5.0
Hit 10.0
Crit 14.0
Haste 10.0
Spell Hit 8.0
Spell Crit 14.0
Spell Haste 10.0
Resilience 25.0
This formula is correct to the 13th decimal place, so I'm 100% sure this is what blizzard uses.
****************************************
** Stat Conversion Data for Reference **
****************************************
Combat rating needed for 1 point of stat
WepS Defe Dodge Parry Bloc M-Hit M-Crit M-Hst S-Hit S-Crit S-Hst Resil
70 3.94 2.37 18.92 31.54 7.88 15.77 22.08 15.77 12.62 22.08 15.77 39.42
69 3.73 2.24 17.89 29.82 7.45 14.91 20.87 14.91 11.93 20.87 14.91 37.27
68 3.53 2.12 16.97 28.28 7.07 14.14 19.79 14.14 11.31 19.79 14.14 35.34
67 3.36 2.02 16.13 26.89 6.72 13.44 18.82 13.44 10.75 18.82 13.44 33.61
66 3.20 1.92 15.38 25.63 6.41 12.81 17.94 12.81 10.25 17.94 12.81 32.03
65 3.06 1.84 14.69 24.48 6.12 12.24 17.13 12.24 9.79 17.13 12.24 30.60
64 2.93 1.76 14.06 23.43 5.86 11.71 16.40 11.71 9.37 16.40 11.71 29.29
63 2.81 1.68 13.48 22.47 5.62 11.23 15.73 11.23 8.99 15.73 11.23 28.08
62 2.70 1.62 12.95 21.58 5.39 10.79 15.11 10.79 8.63 15.11 10.79 26.97
61 2.59 1.56 12.46 20.76 5.19 10.38 14.53 10.38 8.30 14.53 10.38 25.95
60 2.50 1.50 12.00 20.00 5.00 10.00 14.00 10.00 8.00 14.00 10.00 25.00
59 2.45 1.47 11.77 19.62 4.90 9.81 13.73 9.81 7.85 13.73 9.81 24.52
58 2.40 1.44 11.54 19.23 4.81 9.62 13.46 9.62 7.69 13.46 9.62 24.04
57 2.36 1.41 11.31 18.85 4.71 9.42 13.19 9.42 7.54 13.19 9.42 23.56
56 2.31 1.38 11.08 18.46 4.62 9.23 12.92 9.23 7.38 12.92 9.23 23.08
55 2.26 1.36 10.85 18.08 4.52 9.04 12.65 9.04 7.23 12.65 9.04 22.60
54 2.21 1.33 10.62 17.69 4.42 8.85 12.38 8.85 7.08 12.38 8.85 22.12
53 2.16 1.30 10.38 17.31 4.33 8.65 12.12 8.65 6.92 12.12 8.65 21.63
52 2.12 1.27 10.15 16.92 4.23 8.46 11.85 8.46 6.77 11.85 8.46 21.15
51 2.07 1.24 9.92 16.54 4.13 8.27 11.58 8.27 6.62 11.58 8.27 20.67
50 2.02 1.21 9.69 16.15 4.04 8.08 11.31 8.08 6.46 11.31 8.08 20.19
49 1.97 1.18 9.46 15.77 3.94 7.88 11.04 7.88 6.31 11.04 7.88 19.71
48 1.92 1.15 9.23 15.38 3.85 7.69 10.77 7.69 6.15 10.77 7.69 19.23
47 1.88 1.13 9.00 15.00 3.75 7.50 10.50 7.50 6.00 10.50 7.50 18.75
46 1.83 1.10 8.77 14.62 3.65 7.31 10.23 7.31 5.85 10.23 7.31 18.27
45 1.78 1.07 8.54 14.23 3.56 7.12 9.96 7.12 5.69 9.96 7.12 17.79
44 1.73 1.04 8.31 13.85 3.46 6.92 9.69 6.92 5.54 9.69 6.92 17.31
43 1.68 1.01 8.08 13.46 3.37 6.73 9.42 6.73 5.38 9.42 6.73 16.83
42 1.63 0.98 7.85 13.08 3.27 6.54 9.15 6.54 5.23 9.15 6.54 16.35
41 1.59 0.95 7.62 12.69 3.17 6.35 8.88 6.35 5.08 8.88 6.35 15.87
40 1.54 0.92 7.38 12.31 3.08 6.15 8.62 6.15 4.92 8.62 6.15 15.38
39 1.49 0.89 7.15 11.92 2.98 5.96 8.35 5.96 4.77 8.35 5.96 14.90
38 1.44 0.87 6.92 11.54 2.88 5.77 8.08 5.77 4.62 8.08 5.77 14.42
37 1.39 0.84 6.69 11.15 2.79 5.58 7.81 5.58 4.46 7.81 5.58 13.94
36 1.35 0.81 6.46 10.77 2.69 5.38 7.54 5.38 4.31 7.54 5.38 13.46
35 1.30 0.78 6.23 10.38 2.60 5.19 7.27 5.19 4.15 7.27 5.19 12.98
34 1.25 0.75 6.00 10.00 2.50 5.00 7.00 5.00 4.00 7.00 5.00 12.50
33 1.20 0.72 5.77 9.62 2.40 4.81 6.73 4.81 3.85 6.73 4.81 12.02
32 1.15 0.69 5.54 9.23 2.31 4.62 6.46 4.62 3.69 6.46 4.62 11.54
31 1.11 0.66 5.31 8.85 2.21 4.42 6.19 4.42 3.54 6.19 4.42 11.06
30 1.06 0.63 5.08 8.46 2.12 4.23 5.92 4.23 3.38 5.92 4.23 10.58
29 1.01 0.61 4.85 8.08 2.02 4.04 5.65 4.04 3.23 5.65 4.04 10.10
28 0.96 0.58 4.62 7.69 1.92 3.85 5.38 3.85 3.08 5.38 3.85 9.62
27 0.91 0.55 4.38 7.31 1.83 3.65 5.12 3.65 2.92 5.12 3.65 9.13
26 0.87 0.52 4.15 6.92 1.73 3.46 4.85 3.46 2.77 4.85 3.46 8.65
25 0.82 0.49 3.92 6.54 1.63 3.27 4.58 3.27 2.62 4.58 3.27 8.17
24 0.77 0.46 3.69 6.15 1.54 3.08 4.31 3.08 2.46 4.31 3.08 7.69
23 0.72 0.43 3.46 5.77 1.44 2.88 4.04 2.88 2.31 4.04 2.88 7.21
22 0.67 0.40 3.23 5.38 1.35 2.69 3.77 2.69 2.15 3.77 2.69 6.73
21 0.63 0.38 3.00 5.00 1.25 2.50 3.50 2.50 2.00 3.50 2.50 6.25
20 0.58 0.35 2.77 4.62 1.15 2.31 3.23 2.31 1.85 3.23 2.31 5.77
19 0.53 0.32 2.54 4.23 1.06 2.12 2.96 2.12 1.69 2.96 2.12 5.29
18 0.48 0.29 2.31 3.85 0.96 1.92 2.69 1.92 1.54 2.69 1.92 4.81
17 0.43 0.26 2.08 3.46 0.87 1.73 2.42 1.73 1.38 2.42 1.73 4.33
16 0.38 0.23 1.85 3.08 0.77 1.54 2.15 1.54 1.23 2.15 1.54 3.85
15 0.34 0.20 1.62 2.69 0.67 1.35 1.88 1.35 1.08 1.88 1.35 3.37
14 0.29 0.17 1.38 2.31 0.58 1.15 1.62 1.15 0.92 1.62 1.15 2.88
13 0.24 0.14 1.15 1.92 0.48 0.96 1.35 0.96 0.77 1.35 0.96 2.40
12 0.19 0.12 0.92 1.54 0.38 0.77 1.08 0.77 0.62 1.08 0.77 1.92
11 0.14 0.09 0.69 1.15 0.29 0.58 0.81 0.58 0.46 0.81 0.58 1.44
10 0.10 0.06 0.46 0.77 0.19 0.38 0.54 0.38 0.31 0.54 0.38 0.96
9 0.05 0.03 0.23 0.38 0.10 0.19 0.27 0.19 0.15 0.27 0.19 0.48
8 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
WepS Defe Dodge Parry Bloc M-Hit M-Crit M-Hst S-Hit S-Crit S-Hst Resil
Agility needed for 1% Crit
War Pal Hun Rog Pri Sha Mage Lock Dru
1 4.00 4.60 3.52 2.23 11.00 6.01 12.97 6.67 4.95
2 4.20 4.83 3.53 2.33 11.00 6.01 12.97 6.67 4.95
3 4.20 4.83 3.69 2.43 11.00 6.32 12.97 7.00 5.20
4 4.40 5.06 3.95 2.62 11.56 6.32 13.61 7.00 5.20
5 4.60 5.06 4.12 2.72 11.56 6.62 13.61 7.00 5.45
6 4.80 5.29 4.28 2.82 11.56 6.62 13.61 7.33 5.45
7 4.80 5.29 4.44 3.01 11.56 6.62 13.61 7.33 5.69
8 5.00 5.52 4.61 3.11 12.11 6.92 13.61 7.33 5.69
9 5.20 5.52 4.88 3.21 12.11 6.92 13.61 7.67 5.94
10 5.20 5.75 5.04 3.40 12.11 7.22 14.27 7.67 6.44
11 5.40 5.75 5.41 3.79 12.11 7.22 14.27 8.00 6.68
12 5.60 5.98 5.99 4.18 12.66 7.52 14.27 8.00 6.68
13 6.00 6.44 6.46 4.66 12.66 7.52 14.27 8.00 6.93
14 6.20 6.44 6.94 5.05 12.66 7.82 14.27 8.33 6.93
15 6.40 6.90 7.52 5.63 12.66 8.12 14.90 8.67 7.43
16 6.60 6.90 7.89 6.02 13.21 8.42 14.90 9.00 7.43
17 6.80 7.13 8.38 6.41 13.21 8.42 14.90 9.00 7.67
18 7.20 7.59 8.95 6.90 13.21 8.72 14.90 9.00 7.92
19 7.40 7.59 9.43 7.38 13.76 8.72 14.90 9.34 7.92
20 7.80 8.05 10.02 7.87 13.76 9.32 15.55 9.67 8.91
21 7.80 8.28 10.40 8.35 13.76 9.32 15.55 10.00 8.91
22 8.00 8.28 10.99 8.74 13.76 9.62 15.55 10.00 9.16
23 8.40 8.74 11.47 9.23 14.31 9.62 15.55 10.33 9.41
24 8.60 8.97 12.06 9.62 14.31 9.92 16.21 10.33 9.41
25 9.00 9.20 12.55 10.20 14.31 10.22 16.21 11.00 9.90
26 9.20 9.43 13.04 10.68 14.86 10.53 16.21 11.00 9.90
27 9.40 9.66 13.62 11.07 14.86 10.53 16.21 11.00 10.15
28 9.80 9.89 14.10 11.56 14.86 10.82 16.21 11.34 10.40
29 10.00 10.12 14.71 12.05 15.41 10.82 16.86 11.34 10.40
30 10.40 10.58 15.29 12.63 15.41 11.43 16.86 12.00 11.39
31 10.60 10.81 15.70 13.02 15.41 11.43 16.86 12.00 11.64
32 10.80 10.81 16.29 13.50 15.95 11.72 16.86 12.33 11.64
33 11.20 11.27 16.89 13.99 15.95 12.03 17.51 12.33 11.89
34 11.40 11.49 17.39 14.47 15.95 12.03 17.51 12.67 12.14
35 11.81 11.96 17.99 15.06 16.50 12.63 17.51 13.00 12.38
36 12.00 12.20 18.48 15.55 16.50 12.94 18.15 13.33 12.63
37 12.20 12.20 19.08 15.92 16.50 12.94 18.15 13.66 12.87
38 12.59 12.64 19.69 16.42 17.06 13.23 18.15 13.66 12.87
39 12.80 12.89 20.28 16.89 17.06 13.23 18.15 14.01 13.12
40 13.19 13.33 20.79 17.48 17.06 13.83 18.80 14.33 14.10
41 13.61 13.57 21.28 17.99 17.61 14.14 18.80 14.66 14.37
42 13.79 13.57 21.88 18.45 17.61 14.14 18.80 14.66 14.37
43 14.20 14.03 22.52 18.94 18.15 14.43 18.80 14.99 14.60
44 14.41 14.27 23.09 19.53 18.15 14.73 19.46 14.99 14.86
45 14.79 14.73 23.75 20.12 18.15 15.04 19.46 15.67 15.36
46 14.99 14.95 24.21 20.58 18.73 15.34 19.46 16.00 15.60
47 15.41 15.17 24.88 21.10 18.73 15.65 20.08 16.00 15.60
48 15.80 15.65 25.58 21.55 19.27 15.95 20.08 16.34 15.85
49 16.00 15.87 26.18 22.03 19.27 15.95 20.08 16.67 16.10
50 16.39 16.34 26.81 22.73 19.27 16.53 20.75 17.01 17.09
51 16.81 16.56 27.32 23.20 19.80 16.84 20.75 17.33 17.33
52 17.01 16.78 27.93 23.70 19.80 17.15 20.75 17.33 17.57
53 17.39 17.24 28.57 24.27 20.37 17.15 21.41 17.67 17.83
54 17.79 17.48 29.33 24.75 20.37 17.45 21.41 17.99 17.83
55 18.21 17.95 29.94 25.38 20.92 18.05 21.41 18.35 18.32
56 18.42 18.18 30.49 25.91 20.92 18.35 22.03 18.66 18.55
57 18.80 18.38 31.15 26.46 21.46 18.66 22.03 19.01 18.83
58 19.19 18.87 31.85 27.03 21.46 18.66 22.03 19.34 19.05
59 19.61 19.08 32.57 27.47 22.03 18.94 22.68 19.34 19.31
60 20.00 19.53 33.22 28.17 22.03 19.53 22.68 20.00 20.28
61 21.32 20.37 33.67 29.94 22.57 20.16 22.99 20.66 20.92
62 22.62 20.70 34.48 31.06 22.52 20.58 23.15 20.79 21.19
63 23.92 21.19 35.21 32.57 22.68 21.28 23.58 21.28 21.93
64 25.19 21.93 35.84 33.78 23.09 21.93 23.64 21.98 22.37
65 26.53 22.42 36.63 34.97 23.47 22.27 23.70 22.32 22.83
66 27.78 22.88 37.04 36.23 23.87 22.88 24.33 22.99 23.26
67 29.07 23.53 37.88 37.31 24.15 23.42 24.27 22.94 23.58
68 30.40 24.04 38.61 38.17 24.27 23.98 24.51 23.58 24.27
69 31.75 24.51 39.37 39.06 24.39 24.51 24.75 24.15 24.63
70 33.00 25.00 40.00 40.00 25.00 25.00 25.00 24.69 25.00
War Pal Hun Rog Pri Sha Mage Lock Dru
Intellect needed for 1% Spell Crit
Pal Hun Pri Sha Mage Lock Dru
1 12.02 14.31 5.85 7.50 6.11 6.67 6.99
2 12.61 15.02 6.11 7.86 6.35 6.97 7.30
3 12.61 15.02 6.38 8.22 6.60 7.27 7.62
4 13.21 15.75 6.64 8.22 7.09 7.58 7.94
5 13.21 15.75 7.17 8.58 7.33 7.88 8.26
6 13.81 16.45 7.44 8.93 7.58 8.18 8.58
7 14.41 16.45 7.71 9.29 7.82 8.48 8.90
8 14.41 17.15 7.97 9.64 8.06 8.79 8.90
9 15.02 17.15 8.24 10.00 8.55 9.09 9.21
10 15.02 17.89 8.77 10.00 8.80 9.39 10.16
11 15.63 17.89 9.57 10.72 9.53 10.30 10.80
12 16.23 18.59 10.63 11.43 10.75 11.21 11.75
13 16.84 20.04 11.43 12.50 11.48 12.12 12.39
14 17.42 20.04 12.76 13.23 13.68 13.04 13.33
15 18.62 21.46 13.81 14.29 14.90 13.95 14.62
16 18.62 21.46 14.62 15.02 15.65 14.53 15.24
17 19.23 22.17 15.95 15.72 16.61 15.75 16.21
18 20.41 23.58 16.75 16.78 17.61 16.67 16.84
19 20.41 23.58 17.79 17.51 18.59 17.57 17.79
20 21.65 25.06 19.12 18.59 19.80 18.48 19.38
21 22.22 25.77 19.92 19.31 20.53 19.38 20.00
22 22.83 25.77 21.28 20.00 21.74 20.28 20.96
23 23.42 27.17 22.08 21.10 22.47 21.23 21.60
24 24.04 27.93 23.36 21.79 23.70 22.42 22.88
25 25.25 28.57 24.45 22.88 24.69 23.31 23.81
26 25.84 29.33 25.51 23.58 25.64 23.92 24.45
27 25.84 30.03 26.60 24.27 26.88 25.13 25.38
28 27.03 30.77 27.62 25.38 29.59 26.04 26.04
29 27.62 31.45 28.74 26.11 30.77 27.25 27.32
30 28.82 32.89 30.03 27.17 32.05 28.17 28.90
31 29.41 33.67 31.06 28.25 32.79 28.82 29.50
32 30.03 33.67 32.15 28.90 34.01 30.03 30.77
33 30.67 35.09 33.22 30.03 34.97 30.86 31.45
34 31.25 35.71 34.60 30.77 35.97 32.15 32.36
35 32.47 37.17 35.59 31.85 37.17 33.00 33.67
36 33.00 37.88 36.63 32.89 38.17 33.90 34.25
37 33.67 37.88 38.02 33.56 39.37 35.21 35.21
38 34.84 39.37 39.06 34.60 40.32 36.10 36.23
39 35.46 40.00 40.16 35.34 41.49 37.31 37.17
40 36.63 41.49 41.49 36.76 42.55 38.17 39.06
41 37.31 42.19 42.55 37.45 43.48 39.06 39.68
42 37.88 42.19 43.86 38.17 46.51 40.32 40.98
43 39.06 43.67 44.84 39.37 47.39 41.15 41.67
44 39.06 44.44 46.30 40.32 48.54 42.37 42.92
45 40.32 45.87 47.62 41.49 49.75 43.67 43.86
46 40.82 46.51 48.54 42.55 50.76 44.64 44.84
47 42.02 47.17 50.00 43.29 52.08 45.45 45.66
48 43.29 48.54 51.02 44.25 53.19 46.73 46.73
49 43.86 49.26 52.36 45.45 54.35 47.85 47.85
50 45.05 50.76 53.76 46.51 55.87 49.02 49.50
51 45.66 51.55 54.64 47.62 56.82 50.00 50.51
52 46.30 52.08 56.18 48.31 57.80 51.28 51.81
53 47.39 53.76 57.14 49.75 58.82 52.36 52.36
54 48.08 54.35 58.48 50.25 60.24 53.76 53.76
55 49.26 55.87 60.24 51.81 61.73 54.95 54.95
56 49.75 56.50 60.98 52.63 64.94 55.87 55.87
57 50.51 57.14 62.50 53.48 66.23 56.82 56.82
58 52.36 58.82 63.69 54.95 67.11 58.14 57.80
59 52.91 59.52 64.94 55.87 68.49 59.52 59.17
60 54.05 60.98 66.23 57.14 69.93 60.61 60.98
61 63.69 63.69 67.57 60.98 69.93 62.89 61.73
62 65.36 64.94 68.97 62.89 69.93 64.94 63.69
63 67.57 66.67 69.93 65.79 69.93 67.57 66.67
64 69.93 69.44 71.94 68.03 70.42 69.93 68.49
65 71.43 70.92 72.99 70.42 70.42 72.46 70.42
66 73.53 72.99 74.63 72.46 72.46 74.07 72.99
67 75.19 75.19 75.76 74.63 75.19 76.92 75.19
68 76.34 76.92 76.92 76.34 76.34 78.74 76.34
69 78.13 78.13 78.74 78.13 78.13 80.00 78.13
70 80.00 80.00 80.00 80.00 80.00 81.97 80.00
Pal Hun Pri Sha Mage Lock Dru
**************************************************
** 2.4.0 Spirit-Based Mana Regeneration Formula **
**************************************************
The new formula formula in 2.4:
ManaRegen(SPI, INT, LEVEL) = (0.001 + SPI * BASE_REGEN[LEVEL] * (INT^0.5)) * 5
BASE_REGEN[LEVEL]=
1 0.034965
2 0.034191
3 0.033465
4 0.032526
5 0.031661
6 0.031076
7 0.030523
8 0.029994
9 0.029307
10 0.028661
11 0.027584
12 0.026215
13 0.025381
14 0.024300
15 0.023345
16 0.022748
17 0.021958
18 0.021386
19 0.020790
20 0.020121
21 0.019733
22 0.019155
23 0.018819
24 0.018316
25 0.017936
26 0.017576
27 0.017201
28 0.016919
29 0.016581
30 0.016233
31 0.015994
32 0.015707
33 0.015464
34 0.015204
35 0.014956
36 0.014744
37 0.014495
38 0.014302
39 0.014094
40 0.013895
41 0.013724
42 0.013522
43 0.013363
44 0.013175
45 0.012996
46 0.012853
47 0.012687
48 0.012539
49 0.012384
50 0.012233
51 0.012113
52 0.011973
53 0.011859
54 0.011714
55 0.011575
56 0.011473
57 0.011342
58 0.011245
59 0.011110
60 0.010999
61 0.010700
62 0.010522
63 0.010290
64 0.010119
65 0.009968
66 0.009808
67 0.009651
68 0.009553
69 0.009445
70 0.009327