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===Level 66-100 Spell Penalty Tier===
===Level 66-100 Spell Penalty Tier===
{| class="wikitable"
{| class="wikitable"
! "Level ->
! Level ->
|-
|-
! Spell Ranks \/"
! Spell Ranks \/
| 66 || 67 || 68 || 69 || 70 || 71 || 72 || 73 || 74 || 75 || 76 || 77 || 78 || 79 || 80 || 81 || 82 || 83 || 84 || 85 || 86 || 87 || 88 || 89 || 90 || 91 || 92 || 93 || 94 || 95 || 96 || 97 || 98 || 99 || 100
| 66 || 67 || 68 || 69 || 70 || 71 || 72 || 73 || 74 || 75 || 76 || 77 || 78 || 79 || 80 || 81 || 82 || 83 || 84 || 85 || 86 || 87 || 88 || 89 || 90 || 91 || 92 || 93 || 94 || 95 || 96 || 97 || 98 || 99 || 100
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|}
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==Spell Penalty Calculation based on Tier==
==Spell Penalty Calculation based on Tier==

Revision as of 20:14, 31 January 2021

This article is a work in progress!

Redux, also known as Damage Reduction, is the ability of a character to resist damage as a result of physical training, resulting in less health loss as well as reducing or negating the severity of a wound. This is not to be confused with Defensive Strength (DS), which reduces the endroll in the combat formula. Redux does not activate until the character is successfully hit, when it will reduce the damage correspondingly.


Redux Terms Used

RP: Redux Points: These are obtained from training in physical skills for your character. Each physical skill grants a specific quantity of points that are used in subsequent calculations.

F: Redux Floor: Based on your level, there is a certain quantity of Redux Points required in order to 'activate' Redux.

KS: Kroderine Soul

Spell Penalty Tier: Spell Penalties are bucketed as a function of your individual spell research training relative to your level. Each tier applies a level of penalty against your current Redux quantity.

Spell Penalty: A function of the Spell Penalty Tier, the actual amount of reduction of Redux.


Redux Points

Redux is achieved by training in physical skills, and are divided into primary, secondary, and tertiary skills. Primary skills provide 10 "points" towards redux, secondary skills provide 4 points, and tertiary provide 3 points.

RP = (Primary * 50) + (Secondary * 20) + (Tertiary * 15)

Primary Skill: 50 points per rank

Secondary Skills: 20 points per rank

Tertiary Skills: 15 points per rank

Redux Floor

Each level, the threshold to obtain DFRedux decreases. This Redux Floor will be used in subsequent calculations. The floor is

F = 5300 + 20*(Trunc(550/(Level+1)))


Please Note: This simplified equation was derived from the following equations:

  • Base value = ((Primary * 50) + ((Secondary - age based modifier) * 20) + (Tertiary * 15)) / 20
  • Must be > 250 to have redux.
  • Age based modifier = TRUNC(550 / (level + 1))
  • Secondary requirement where (10000 - (10000 - 2640000/(RP/50))/2 must be less than 10000
  • This equation was verified from testing conducted by Riltus prior to release of Redux equations

Spell Penalty Tier

There are 38 Spell Penalties reduction tiers associated with Redux based off of your individual level and your training in Spell Research. While there is an equation to derive your penalty tier... it's best represented as a table based on your current Level and Spell Research ranks:

Levels 30-65 Spell Penalty Tier

"Level ->
Spell Ranks \/" 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
5 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1
6 5 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
7 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
8 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2
9 7 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2
10 7 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3
11 8 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3
12 9 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3
13 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4
14 10 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4
15 11 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4
16 11 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5
17 12 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5
18 12 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5
19 13 12 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5
20 14 12 12 12 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6
21 14 13 13 12 12 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6
22 15 14 13 13 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6
23 16 14 14 13 13 13 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7
24 16 15 14 14 14 13 13 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7
25 17 15 15 15 14 14 13 13 13 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7
26 18 16 16 15 15 14 14 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8
27 18 17 16 16 15 15 14 14 14 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8
28 19 17 17 16 16 15 15 15 14 14 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8
29 20 18 17 17 16 16 15 15 15 14 14 14 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8
30 20 19 18 17 17 16 16 16 15 15 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9
31 21 19 19 18 18 17 17 16 16 15 15 15 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9
32 21 20 19 19 18 18 17 17 16 16 15 15 15 14 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9
33 22 20 20 19 19 18 18 17 17 16 16 15 15 15 14 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10
34 23 21 20 20 19 19 18 18 17 17 16 16 16 15 15 15 14 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10
35 23 22 21 20 20 19 19 18 18 17 17 16 16 16 15 15 15 14 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 10 10
36 24 22 22 21 20 20 19 19 18 18 17 17 16 16 16 15 15 15 14 14 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 11
37 25 23 22 22 21 20 20 19 19 18 18 17 17 17 16 16 15 15 15 15 14 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11
38 25 24 23 22 22 21 20 20 19 19 18 18 17 17 17 16 16 16 15 15 15 14 14 14 14 13 13 13 13 12 12 12 12 12 11 11
39 26 24 23 23 22 21 21 20 20 19 19 18 18 17 17 17 16 16 16 15 15 15 14 14 14 14 13 13 13 13 12 12 12 12 12 11
40 27 25 24 23 23 22 21 21 20 20 19 19 18 18 18 17 17 16 16 16 15 15 15 15 14 14 14 13 13 13 13 13 12 12 12 12
41 27 25 25 24 23 23 22 21 21 20 20 19 19 18 18 18 17 17 16 16 16 15 15 15 15 14 14 14 14 13 13 13 13 12 12 12
42 28 26 25 25 24 23 22 22 21 21 20 20 19 19 18 18 18 17 17 17 16 16 16 15 15 15 14 14 14 14 13 13 13 13 13 12
43 29 27 26 25 24 24 23 22 22 21 21 20 20 19 19 18 18 18 17 17 17 16 16 16 15 15 15 15 14 14 14 14 13 13 13 13
44 29 27 26 26 25 24 24 23 22 22 21 21 20 20 19 19 18 18 18 17 17 17 16 16 16 15 15 15 15 14 14 14 14 13 13 13
45 30 28 27 26 26 25 24 23 23 22 22 21 21 20 20 19 19 18 18 18 17 17 17 16 16 16 15 15 15 15 14 14 14 14 14 13
46 31 29 28 27 26 25 25 24 23 23 22 22 21 21 20 20 19 19 18 18 18 17 17 17 16 16 16 16 15 15 15 15 14 14 14 14
47 31 29 28 28 27 26 25 25 24 23 23 22 22 21 21 20 20 19 19 19 18 18 17 17 17 16 16 16 16 15 15 15 15 14 14 14
48 32 30 29 28 27 26 26 25 24 24 23 23 22 22 21 21 20 20 19 19 19 18 18 17 17 17 17 16 16 16 15 15 15 15 14 14
49 32 30 30 29 28 27 26 26 25 24 24 23 23 22 22 21 21 20 20 19 19 19 18 18 18 17 17 17 16 16 16 15 15 15 15 15
50 33 31 30 29 28 28 27 26 25 25 24 24 23 22 22 21 21 21 20 20 19 19 19 18 18 18 17 17 17 16 16 16 16 15 15 15
51 34 32 31 30 29 28 27 27 26 25 25 24 23 23 22 22 21 21 21 20 20 19 19 19 18 18 18 17 17 17 16 16 16 16 15 15
52 34 32 31 30 30 29 28 27 26 26 25 25 24 23 23 22 22 21 21 21 20 20 19 19 19 18 18 18 17 17 17 16 16 16 16 15
53 35 33 32 31 30 29 28 28 27 26 26 25 24 24 23 23 22 22 21 21 20 20 20 19 19 19 18 18 18 17 17 17 16 16 16 16
54 36 34 33 32 31 30 29 28 27 27 26 25 25 24 24 23 23 22 22 21 21 20 20 20 19 19 19 18 18 18 17 17 17 17 16 16
55 36 34 33 32 31 30 30 29 28 27 27 26 25 25 24 24 23 23 22 22 21 21 20 20 20 19 19 19 18 18 18 17 17 17 17 16
56 37 35 34 33 32 31 30 29 28 28 27 26 26 25 25 24 24 23 23 22 22 21 21 20 20 20 19 19 19 18 18 18 17 17 17 17
57 38 35 34 33 32 31 31 30 29 28 28 27 26 26 25 25 24 23 23 23 22 22 21 21 20 20 20 19 19 19 18 18 18 17 17 17
58 38 36 35 34 33 32 31 30 30 29 28 27 27 26 26 25 24 24 23 23 22 22 22 21 21 20 20 20 19 19 19 18 18 18 18 17
59 39 37 36 35 34 33 32 31 30 29 29 28 27 27 26 25 25 24 24 23 23 22 22 22 21 21 20 20 20 19 19 19 18 18 18 18
60 40 37 36 35 34 33 32 31 31 30 29 28 28 27 26 26 25 25 24 24 23 23 22 22 22 21 21 20 20 20 19 19 19 18 18 18
61 38 37 36 35 34 33 32 31 30 30 29 28 27 27 26 26 25 25 24 24 23 23 22 22 21 21 21 20 20 20 19 19 19 18 18
62 39 37 36 35 34 33 32 32 31 30 29 29 28 27 27 26 26 25 25 24 24 23 23 22 22 21 21 21 20 20 20 19 19 19 18
63 38 37 36 35 34 33 32 31 30 30 29 28 28 27 27 26 25 25 24 24 23 23 23 22 22 21 21 21 20 20 20 19 19 19
64 39 37 36 35 34 33 33 32 31 30 30 29 28 28 27 26 26 25 25 24 24 23 23 23 22 22 21 21 21 20 20 20 19 19
65 38 37 36 35 34 33 32 31 31 30 29 29 28 27 27 26 26 25 25 24 24 23 23 22 22 22 21 21 21 20 20 20 19
66 39 38 36 35 35 34 33 32 31 30 30 29 28 28 27 27 26 26 25 25 24 24 23 23 22 22 22 21 21 21 20 20 20
67 38 37 36 35 34 33 32 32 31 30 30 29 28 28 27 27 26 25 25 25 24 24 23 23 22 22 22 21 21 21 20 20
68 39 38 37 36 35 34 33 32 31 31 30 29 29 28 27 27 26 26 25 25 24 24 24 23 23 22 22 22 21 21 21 20
69 38 37 36 35 34 33 33 32 31 30 30 29 28 28 27 27 26 26 25 25 24 24 23 23 23 22 22 22 21 21 21
70 39 38 37 36 35 34 33 32 32 31 30 30 29 28 28 27 27 26 26 25 25 24 24 23 23 23 22 22 22 21 21
71 38 37 36 35 34 34 33 32 31 31 30 29 29 28 28 27 26 26 26 25 25 24 24 23 23 23 22 22 22 21
72 39 38 37 36 35 34 33 32 32 31 30 30 29 29 28 27 27 26 26 25 25 25 24 24 23 23 23 22 22 21
73 38 37 36 35 35 34 33 32 31 31 30 30 29 28 28 27 27 26 26 25 25 24 24 24 23 23 22 22 22
74 39 38 37 36 35 34 33 33 32 31 31 30 29 29 28 28 27 27 26 26 25 25 24 24 24 23 23 22 22
75 38 37 36 35 35 34 33 32 32 31 30 30 29 29 28 28 27 26 26 26 25 25 24 24 23 23 23 22
76 39 38 37 36 35 34 34 33 32 31 31 30 30 29 28 28 27 27 26 26 25 25 25 24 24 23 23 23
77 38 37 36 36 35 34 33 32 32 31 31 30 29 29 28 28 27 27 26 26 25 25 25 24 24 23 23
78 39 38 37 36 35 34 34 33 32 32 31 30 30 29 29 28 28 27 27 26 26 25 25 24 24 24 23
79 38 37 36 36 35 34 33 33 32 31 31 30 30 29 28 28 27 27 26 26 26 25 25 24 24 24
80 39 38 37 36 35 35 34 33 32 32 31 30 30 29 29 28 28 27 27 26 26 25 25 25 24 24
81 38 37 37 36 35 34 33 33 32 31 31 30 30 29 29 28 28 27 27 26 26 25 25 25 24
82 39 38 37 36 35 35 34 33 33 32 31 31 30 30 29 28 28 27 27 27 26 26 25 25 25
83 38 37 37 36 35 34 34 33 32 32 31 30 30 29 29 28 28 27 27 26 26 26 25 25
84 39 38 37 36 35 35 34 33 33 32 31 31 30 30 29 29 28 28 27 27 26 26 26 25
85 38 38 37 36 35 34 34 33 32 32 31 31 30 30 29 28 28 28 27 27 26 26 25
86 39 38 37 36 36 35 34 33 33 32 32 31 30 30 29 29 28 28 27 27 27 26 26
87 38 38 37 36 35 35 34 33 33 32 31 31 30 30 29 29 28 28 27 27 26 26
88 39 38 37 36 36 35 34 34 33 32 32 31 31 30 30 29 29 28 28 27 27 26
89 38 38 37 36 35 35 34 33 33 32 31 31 30 30 29 29 28 28 27 27 27
90 39 38 37 36 36 35 34 34 33 32 32 31 31 30 30 29 29 28 28 27 27
91 38 38 37 36 35 35 34 33 33 32 32 31 31 30 30 29 29 28 28 27
92 39 38 37 37 36 35 34 34 33 33 32 31 31 30 30 29 29 28 28 28
93 38 38 37 36 35 35 34 34 33 32 32 31 31 30 30 29 29 28 28
94 39 38 37 37 36 35 35 34 33 33 32 32 31 30 30 30 29 29 28
95 38 38 37 36 36 35 34 34 33 32 32 31 31 30 30 29 29 28
96 39 38 37 37 36 35 35 34 33 33 32 32 31 31 30 30 29 29
97 39 38 37 36 36 35 34 34 33 33 32 31 31 30 30 30 29
98 39 38 37 37 36 35 35 34 33 33 32 32 31 31 30 30 29
99 39 38 37 36 36 35 34 34 33 33 32 32 31 31 30 30
100 39 38 37 37 36 35 35 34 34 33 32 32 31 31 30 30
101 39 38 37 36 36 35 35 34 33 33 32 32 31 31 30
102 39 38 37 37 36 35 35 34 34 33 33 32 32 31 31
103 39 38 37 36 36 35 35 34 33 33 32 32 31 31
104 39 38 38 37 36 36 35 34 34 33 33 32 32 31
105 39 38 37 37 36 35 35 34 34 33 32 32 31
106 39 38 38 37 36 36 35 34 34 33 33 32 32
107 39 38 37 37 36 35 35 34 34 33 33 32
108 39 38 38 37 36 36 35 35 34 33 33 32
109 39 38 37 37 36 35 35 34 34 33 33
110 39 38 38 37 36 36 35 35 34 34 33
111 39 38 37 37 36 35 35 34 34 33
112 39 38 38 37 36 36 35 35 34 34
113 39 38 37 37 36 36 35 34 34
114 39 38 38 37 36 36 35 35 34
115 39 38 37 37 36 36 35 35
116 39 38 38 37 36 36 35 35
117 39 38 37 37 36 36 35
118 39 38 38 37 37 36 35
119 39 38 37 37 36 36
120 39 38 38 37 37 36
121 39 38 37 37 36
122 39 38 38 37 37
123 39 38 38 37
124 39 38 38 37
125 39 38 38
126 39 38 38
127 39 38
128 39 38
129 39
130 39


Level 66-100 Spell Penalty Tier

Level ->
Spell Ranks \/ 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0
5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
7 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1
10 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
11 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
12 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
13 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2
14 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2
15 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
16 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
17 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3
18 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3
19 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3
20 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
21 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
22 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4
23 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4
24 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4
25 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
26 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5
27 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5
28 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5
29 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5
30 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6
31 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6
32 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6
33 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6
34 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6
35 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7
36 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7
37 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7
38 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7
39 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7
40 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8
41 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8
42 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8
43 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8
44 13 13 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8
45 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9
46 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9
47 14 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9
48 14 14 14 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9
49 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9
50 15 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10
51 15 15 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10
52 15 15 15 15 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10
53 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10
54 16 16 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10
55 16 16 16 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10
56 16 16 16 16 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11
57 17 16 16 16 16 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11
58 17 17 16 16 16 16 16 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11
59 17 17 17 17 16 16 16 16 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11
60 18 17 17 17 17 16 16 16 16 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11
61 18 18 17 17 17 17 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12
62 18 18 18 17 17 17 17 16 16 16 16 16 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12
63 18 18 18 18 17 17 17 17 16 16 16 16 16 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12
64 19 18 18 18 18 17 17 17 17 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12
65 19 19 18 18 18 18 17 17 17 17 17 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 12
66 19 19 19 19 18 18 18 17 17 17 17 17 16 16 16 16 16 15 15 15 15 15 14 14 14 14 14 14 14 13 13 13 13 13 13
67 20 19 19 19 19 18 18 18 18 17 17 17 17 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13
68 20 20 19 19 19 19 18 18 18 18 17 17 17 17 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13
69 20 20 20 19 19 19 19 18 18 18 18 17 17 17 17 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14 14 13 13
70 21 20 20 20 19 19 19 19 18 18 18 18 17 17 17 17 16 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14 13
71 21 21 20 20 20 19 19 19 19 18 18 18 18 17 17 17 17 17 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14 14
72 21 21 21 20 20 20 19 19 19 19 18 18 18 18 17 17 17 17 17 16 16 16 16 16 15 15 15 15 15 15 14 14 14 14 14
73 21 21 21 21 20 20 20 19 19 19 19 18 18 18 18 17 17 17 17 17 16 16 16 16 16 15 15 15 15 15 15 15 14 14 14
74 22 21 21 21 20 20 20 20 19 19 19 19 18 18 18 18 17 17 17 17 17 16 16 16 16 16 16 15 15 15 15 15 15 14 14
75 22 22 21 21 21 20 20 20 20 19 19 19 19 18 18 18 18 17 17 17 17 17 16 16 16 16 16 16 15 15 15 15 15 15 14
76 22 22 22 21 21 21 20 20 20 20 19 19 19 19 18 18 18 18 18 17 17 17 17 17 16 16 16 16 16 15 15 15 15 15 15
77 23 22 22 22 21 21 21 20 20 20 20 19 19 19 19 18 18 18 18 18 17 17 17 17 17 16 16 16 16 16 15 15 15 15 15
78 23 23 22 22 22 21 21 21 20 20 20 20 19 19 19 19 18 18 18 18 18 17 17 17 17 17 16 16 16 16 16 16 15 15 15
79 23 23 23 22 22 22 21 21 21 20 20 20 20 19 19 19 19 18 18 18 18 18 17 17 17 17 17 16 16 16 16 16 16 15 15
80 24 23 23 23 22 22 22 21 21 21 20 20 20 20 19 19 19 19 18 18 18 18 18 17 17 17 17 17 16 16 16 16 16 16 15
81 24 23 23 23 22 22 22 22 21 21 21 20 20 20 20 19 19 19 19 18 18 18 18 18 17 17 17 17 17 16 16 16 16 16 16
82 24 24 23 23 23 22 22 22 22 21 21 21 20 20 20 20 19 19 19 19 18 18 18 18 18 17 17 17 17 17 17 16 16 16 16
83 24 24 24 23 23 23 22 22 22 21 21 21 21 20 20 20 20 19 19 19 19 18 18 18 18 18 17 17 17 17 17 17 16 16 16
84 25 24 24 24 23 23 23 22 22 22 21 21 21 21 20 20 20 20 19 19 19 19 18 18 18 18 18 17 17 17 17 17 17 16 16
85 25 25 24 24 24 23 23 23 22 22 22 21 21 21 21 20 20 20 20 19 19 19 19 19 18 18 18 18 18 17 17 17 17 17 16
86 25 25 25 24 24 24 23 23 23 22 22 22 21 21 21 21 20 20 20 20 19 19 19 19 19 18 18 18 18 18 17 17 17 17 17
87 26 25 25 25 24 24 23 23 23 23 22 22 22 21 21 21 21 20 20 20 20 19 19 19 19 19 18 18 18 18 18 17 17 17 17
88 26 26 25 25 24 24 24 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20 19 19 19 19 19 18 18 18 18 18 17 17 17
89 26 26 25 25 25 24 24 24 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20 19 19 19 19 19 18 18 18 18 18 17 17
90 27 26 26 25 25 25 24 24 24 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20 19 19 19 19 19 18 18 18 18 18 17
91 27 26 26 26 25 25 25 24 24 24 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20 19 19 19 19 19 18 18 18 18 18
92 27 27 26 26 26 25 25 25 24 24 24 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20 19 19 19 19 19 18 18 18 18
93 27 27 27 26 26 25 25 25 24 24 24 23 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20 19 19 19 19 19 18 18 18
94 28 27 27 27 26 26 25 25 25 24 24 24 23 23 23 23 22 22 22 21 21 21 21 21 20 20 20 20 19 19 19 19 19 18 18
95 28 28 27 27 26 26 26 25 25 25 24 24 24 23 23 23 23 22 22 22 21 21 21 21 20 20 20 20 20 19 19 19 19 19 18
96 28 28 27 27 27 26 26 26 25 25 25 24 24 24 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20 20 19 19 19 19 19
97 29 28 28 27 27 27 26 26 26 25 25 25 24 24 24 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20 20 19 19 19 19
98 29 28 28 28 27 27 26 26 26 25 25 25 24 24 24 24 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20 20 19 19 19
99 29 29 28 28 28 27 27 26 26 26 25 25 25 24 24 24 23 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20 20 19 19
100 30 29 29 28 28 27 27 27 26 26 26 25 25 25 24 24 24 23 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20 20 19
101 30 29 29 29 28 28 27 27 27 26 26 26 25 25 25 24 24 24 23 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20 20
102 30 30 29 29 28 28 28 27 27 26 26 26 25 25 25 25 24 24 24 23 23 23 23 22 22 22 22 21 21 21 21 20 20 20 20
103 30 30 30 29 29 28 28 28 27 27 26 26 26 25 25 25 24 24 24 24 23 23 23 23 22 22 22 22 21 21 21 21 20 20 20
104 31 30 30 29 29 29 28 28 27 27 27 26 26 26 25 25 25 24 24 24 24 23 23 23 22 22 22 22 22 21 21 21 21 20 20
105 31 31 30 30 29 29 28 28 28 27 27 27 26 26 26 25 25 25 24 24 24 23 23 23 23 22 22 22 22 21 21 21 21 21 20
106 31 31 30 30 30 29 29 28 28 28 27 27 26 26 26 25 25 25 25 24 24 24 23 23 23 23 22 22 22 22 21 21 21 21 21
107 32 31 31 30 30 29 29 29 28 28 27 27 27 26 26 26 25 25 25 25 24 24 24 23 23 23 23 22 22 22 22 21 21 21 21
108 32 31 31 31 30 30 29 29 28 28 28 27 27 27 26 26 26 25 25 25 24 24 24 24 23 23 23 23 22 22 22 22 21 21 21
109 32 32 31 31 30 30 30 29 29 28 28 28 27 27 27 26 26 26 25 25 25 24 24 24 24 23 23 23 23 22 22 22 22 21 21
110 32 32 32 31 31 30 30 29 29 29 28 28 27 27 27 26 26 26 26 25 25 25 24 24 24 24 23 23 23 23 22 22 22 22 21
111 33 32 32 31 31 30 30 30 29 29 28 28 28 27 27 27 26 26 26 25 25 25 25 24 24 24 23 23 23 23 22 22 22 22 22
112 33 33 32 32 31 31 30 30 30 29 29 28 28 28 27 27 27 26 26 26 25 25 25 25 24 24 24 23 23 23 23 22 22 22 22
113 33 33 32 32 31 31 31 30 30 29 29 29 28 28 28 27 27 27 26 26 26 25 25 25 24 24 24 24 23 23 23 23 22 22 22
114 34 33 33 32 32 31 31 30 30 30 29 29 28 28 28 27 27 27 26 26 26 26 25 25 25 24 24 24 24 23 23 23 23 22 22
115 34 33 33 33 32 32 31 31 30 30 30 29 29 28 28 28 27 27 27 26 26 26 25 25 25 25 24 24 24 24 23 23 23 23 22
116 34 34 33 33 32 32 31 31 31 30 30 29 29 29 28 28 28 27 27 27 26 26 26 25 25 25 25 24 24 24 24 23 23 23 23
117 35 34 34 33 33 32 32 31 31 30 30 30 29 29 29 28 28 27 27 27 27 26 26 26 25 25 25 25 24 24 24 23 23 23 23
118 35 34 34 33 33 32 32 32 31 31 30 30 30 29 29 28 28 28 27 27 27 26 26 26 26 25 25 25 24 24 24 24 23 23 23
119 35 35 34 34 33 33 32 32 31 31 31 30 30 29 29 29 28 28 28 27 27 27 26 26 26 25 25 25 25 24 24 24 24 23 23
120 35 35 34 34 33 33 33 32 32 31 31 30 30 30 29 29 29 28 28 28 27 27 27 26 26 26 25 25 25 25 24 24 24 24 23
121 36 35 35 34 34 33 33 32 32 31 31 31 30 30 30 29 29 28 28 28 27 27 27 27 26 26 26 25 25 25 25 24 24 24 24
122 36 36 35 35 34 34 33 33 32 32 31 31 31 30 30 29 29 29 28 28 28 27 27 27 26 26 26 26 25 25 25 25 24 24 24
123 36 36 35 35 34 34 33 33 32 32 32 31 31 30 30 30 29 29 29 28 28 28 27 27 27 26 26 26 26 25 25 25 24 24 24
124 37 36 36 35 35 34 34 33 33 32 32 31 31 31 30 30 30 29 29 28 28 28 27 27 27 27 26 26 26 25 25 25 25 24 24
125 37 36 36 35 35 34 34 33 33 33 32 32 31 31 30 30 30 29 29 29 28 28 28 27 27 27 26 26 26 26 25 25 25 25 24
126 37 37 36 36 35 35 34 34 33 33 32 32 32 31 31 30 30 30 29 29 29 28 28 28 27 27 27 26 26 26 26 25 25 25 25
127 38 37 36 36 35 35 34 34 34 33 33 32 32 31 31 31 30 30 30 29 29 28 28 28 28 27 27 27 26 26 26 26 25 25 25
128 38 37 37 36 36 35 35 34 34 33 33 32 32 32 31 31 30 30 30 29 29 29 28 28 28 27 27 27 27 26 26 26 25 25 25
129 38 38 37 37 36 35 35 35 34 34 33 33 32 32 31 31 31 30 30 30 29 29 29 28 28 28 27 27 27 26 26 26 26 25 25
130 38 38 37 37 36 36 35 35 34 34 33 33 33 32 32 31 31 31 30 30 30 29 29 29 28 28 28 27 27 27 26 26 26 26 25
131 39 38 38 37 37 36 36 35 35 34 34 33 33 32 32 32 31 31 30 30 30 29 29 29 28 28 28 28 27 27 27 26 26 26 26
132 39 38 38 37 37 36 36 35 35 34 34 33 33 33 32 32 31 31 31 30 30 30 29 29 29 28 28 28 27 27 27 27 26 26 26
133 39 38 38 37 37 36 36 35 35 34 34 33 33 32 32 32 31 31 31 30 30 30 29 29 29 28 28 28 27 27 27 26 26 26
134 39 38 38 37 37 36 36 35 35 34 34 34 33 33 32 32 32 31 31 30 30 30 29 29 29 28 28 28 28 27 27 27 26 26
135 39 38 38 37 37 36 36 35 35 34 34 33 33 33 32 32 31 31 31 30 30 30 29 29 29 28 28 28 27 27 27 27 26
136 39 39 38 37 37 36 36 35 35 35 34 34 33 33 32 32 32 31 31 31 30 30 30 29 29 29 28 28 28 27 27 27 27
137 39 38 38 37 37 36 36 35 35 34 34 33 33 33 32 32 31 31 31 30 30 30 29 29 29 28 28 28 28 27 27 27
138 39 39 38 37 37 36 36 35 35 35 34 34 33 33 32 32 32 31 31 31 30 30 30 29 29 29 28 28 28 27 27 27
139 39 38 38 37 37 36 36 35 35 34 34 34 33 33 32 32 32 31 31 31 30 30 30 29 29 29 28 28 28 27 27
140 39 39 38 37 37 36 36 36 35 35 34 34 33 33 33 32 32 31 31 31 30 30 30 29 29 29 28 28 28 28 27
141 39 38 38 37 37 36 36 35 35 34 34 34 33 33 32 32 32 31 31 31 30 30 30 29 29 29 28 28 28 28
142 39 39 38 38 37 37 36 36 35 35 34 34 33 33 33 32 32 32 31 31 30 30 30 30 29 29 29 28 28 28
143 39 38 38 37 37 36 36 35 35 35 34 34 33 33 32 32 32 31 31 31 30 30 30 29 29 29 28 28 28
144 39 39 38 38 37 37 36 36 35 35 34 34 34 33 33 32 32 32 31 31 31 30 30 30 29 29 29 28 28
145 39 38 38 37 37 36 36 35 35 35 34 34 33 33 33 32 32 31 31 31 30 30 30 30 29 29 29 28
146 39 39 38 38 37 37 36 36 35 35 34 34 34 33 33 32 32 32 31 31 31 30 30 30 29 29 29 29
147 39 38 38 37 37 36 36 35 35 35 34 34 33 33 33 32 32 32 31 31 31 30 30 30 29 29 29
148 39 39 38 38 37 37 36 36 35 35 34 34 34 33 33 33 32 32 31 31 31 30 30 30 30 29 29
149 39 38 38 37 37 36 36 36 35 35 34 34 33 33 33 32 32 32 31 31 31 30 30 30 29 29
150 39 39 38 38 37 37 36 36 35 35 35 34 34 33 33 33 32 32 32 31 31 31 30 30 30 29
151 39 38 38 37 37 36 36 36 35 35 34 34 34 33 33 32 32 32 31 31 31 30 30 30 30
152 39 39 38 38 37 37 36 36 35 35 35 34 34 33 33 33 32 32 32 31 31 31 30 30 30
153 39 38 38 37 37 36 36 36 35 35 34 34 34 33 33 33 32 32 31 31 31 31 30 30
154 39 39 38 38 37 37 36 36 35 35 35 34 34 33 33 33 32 32 32 31 31 31 30 30
155 39 38 38 37 37 37 36 36 35 35 34 34 34 33 33 33 32 32 32 31 31 31 30
156 39 39 38 38 37 37 36 36 35 35 35 34 34 34 33 33 32 32 32 31 31 31 30
157 39 38 38 37 37 37 36 36 35 35 35 34 34 33 33 33 32 32 32 31 31 31
158 39 39 38 38 37 37 36 36 36 35 35 34 34 34 33 33 33 32 32 32 31 31
159 39 38 38 37 37 37 36 36 35 35 35 34 34 33 33 33 32 32 32 31 31
160 39 39 38 38 37 37 36 36 36 35 35 34 34 34 33 33 33 32 32 32 31
161 39 38 38 38 37 37 36 36 35 35 35 34 34 34 33 33 32 32 32 31
162 39 39 38 38 37 37 36 36 36 35 35 34 34 34 33 33 33 32 32 32
163 39 38 38 38 37 37 36 36 35 35 35 34 34 34 33 33 33 32 32
164 39 39 38 38 37 37 36 36 36 35 35 35 34 34 33 33 33 32 32
165 39 38 38 38 37 37 36 36 35 35 35 34 34 34 33 33 33 32
166 39 39 38 38 37 37 37 36 36 35 35 35 34 34 33 33 33 32
167 39 38 38 38 37 37 36 36 36 35 35 34 34 34 33 33 33
168 39 39 38 38 37 37 37 36 36 35 35 35 34 34 34 33 33
169 39 38 38 38 37 37 36 36 36 35 35 34 34 34 33 33
170 39 39 38 38 37 37 37 36 36 35 35 35 34 34 34 33
171 39 38 38 38 37 37 36 36 36 35 35 35 34 34 33
172 39 39 38 38 37 37 37 36 36 35 35 35 34 34 34
173 39 38 38 38 37 37 36 36 36 35 35 35 34 34
174 39 39 38 38 37 37 37 36 36 35 35 35 34 34
175 39 39 38 38 37 37 36 36 36 35 35 35 34
176 39 39 38 38 37 37 37 36 36 36 35 35 34
177 39 39 38 38 37 37 36 36 36 35 35 35
178 39 39 38 38 37 37 37 36 36 36 35 35
179 39 39 38 38 37 37 37 36 36 35 35
180 39 39 38 38 38 37 37 36 36 36 35
181 39 39 38 38 37 37 37 36 36 35
182 39 39 38 38 38 37 37 36 36 36
183 39 39 38 38 37 37 37 36 36
184 39 39 38 38 38 37 37 36 36
185 39 39 38 38 37 37 37 36
186 39 39 38 38 38 37 37 36
187 39 39 38 38 37 37 37
188 39 39 38 38 38 37 37
189 39 39 38 38 37 37
190 39 39 38 38 38 37
191 39 39 38 38 37
192 39 39 38 38 38
193 39 39 38 38
194 39 39 38 38
195 39 39 38
196 39 39 38
197 39 39
198 39 39
199 39
200 39

Spell Penalty Calculation based on Tier

There are two unique spell penalty calculations used for penalties, dependent upon whether or not we're looking at below or above 1x.

  • Below 1x: Penalty = 100 - 5.5615X + .5444X^2 - 0.0303X^3 + 0.0006X^4
  • Between 1x and 2x: 60 - 5.7959X + .1979X^2 - .0031X^3

The chart below shows these equations in action:

Spell Penalty Tier Redux Total Redux Penalty Marginal Redux Penalty
0 100.00 0.00% NA
1 94.95 5.05% 5.05%
2 90.82 9.18% 4.13%
3 87.45 12.55% 3.38%
4 84.68 15.32% 2.77%
5 82.39 17.61% 2.29%
6 80.46 19.54% 1.93%
7 78.79 21.21% 1.67%
8 77.29 22.71% 1.50%
9 75.89 24.11% 1.40%
10 74.53 25.48% 1.37%
11 73.15 26.85% 1.37%
12 71.74 28.26% 1.41%
13 70.27 29.73% 1.47%
14 68.75 31.25% 1.52%
15 67.18 32.82% 1.57%
16 65.60 34.40% 1.58%
17 64.03 35.97% 1.56%
18 62.55 37.45% 1.48%
19 61.22 38.78% 1.33%
20 60.00 40.00% 1.22%
21 54.40 45.60% 5.60%
22 49.18 50.83% 5.22%
23 44.31 55.69% 4.87%
24 39.78 60.22% 4.53%
25 35.58 64.42% 4.20%
26 31.68 68.32% 3.90%
27 28.06 71.94% 3.62%
28 24.71 75.29% 3.35%
29 21.61 78.39% 3.10%
30 18.73 81.27% 2.88%
31 16.06 83.94% 2.67%
32 13.59 86.41% 2.47%
33 11.29 88.71% 2.30%
34 9.14 90.86% 2.15%
35 7.13 92.87% 2.01%
36 5.23 94.77% 1.90%
37 3.43 96.57% 1.80%
38 1.71 98.29% 1.72%
39 0.00 100% 1.71%


Order of Operations

Redux, consists of two parts. Part I functions against the weapon damage factor is reduced by the redux factor and the resulting reduced raw damage determines the maximum critical rank. Part II includes an additional raw damage reduction plus critical damage reduction.

Conventional AS resolved Attack

For the purposes of this comparison, there is an assumption of a working knowledge of the combat system.

The process begins upon resolving an attack with the endroll margin * DF to determine your raw damage. Here, the equation forks:

Critical Damage = TRUNC((Raw Damage - Critical Padding) * (1 - Redux))

From there, the critical damage goes through the standard Critical Divisor and Critical Randomization. Once a critical is determined:

Blood Raw Damage = TRUNC((Raw Damage - Damage Padding) * (1 - Redux))
Final Damage = (Blood Raw Damage + Critical Damage) - TRUNC((1-Redux)*(Blood Raw Damage + Critical Damage))
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