User:HJELTE

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.

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.

KS: Kroderine Soul

Redux Factors

Redux is achieved by training in physical skills, and are divided into primary, secondary, and tertiary skills. Primary skills provide 50 points towards redux, secondary skills provide 20 points, and tertiary provide 15 points. There is also a level based penalty associated with this function that decreases as you level.

Primary Skill: 50 points per rank

• Physical Fitness

Secondary Skills: 20 points per rank

• Ambush
• Armor Use
• Combat Maneuvers
• Dodging
• Multi Opponent Comthere'bat
• Shield Use
• Two Weapon Combat

Tertiary Skills: 15 points per rank

• One-Handed Edged Weapon Training
• One-Handed Blunt Weapon Training
• Brawling Weapon Training
• Polearm Weapon Training
• Ranged Weapon Training
• Thrown Weapon Training
• Two-Handed Weapon Training

Redux Points

RP = ((Primary * 50) + ((Secondary - TRUNC(550 / (level + 1))) * 20) + (Tertiary * 15)) / 20

Over 30% Diminished Returns

After 30% Redux, the values have diminished returns applied to them. Following the initial equation:

IF RP>880 Then RP = 880 + TRUNC((RP-885)/3)

Redux Floor

RP > 264

A RP value of 264 is required before Redux will take effect. This is simplified from a variety of equations up and downstream.

Calculating Redux from RP

Redux = 1 - ((264/RP)/2)

Post-30% redux, the numbers are compressed and utilize the following equation:

Spell Penalties

Spell penalties adjust your Redux by multiplying your effective Redux by a spell penalty value based on your spell research training and your level. There are specific spell research training thresholds when the spell penalties increase, and each increase in threshold has a unique additional penalty associated with it. The specific thresholds and penalties are outlined below.

Spell Penalty Tier

There are 40 Spell Penalties reduction tiers associated with Redux based off of your individual level and your training in Spell Research. For the purposes of this table, 0 represents no penalty (100% of redux received), and the highest rank, 39, reflects 0% of redux will be received.

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

Levels 30-65 Spell Penalty Tiers 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 66-100 Spell Penalty Tiers -> 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
• Above 2x: No Redux

The chart below shows these equations in action:

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

Redux is applied twice in the damage resolution process:

Reduxed Raw Damage MAX(1,TRUNC(Raw Damage*(1-Redux))

This new Redux'ed Raw damage is used as the baseline for determining critical

(Reduxed Raw Damage + Critical weighting - Critical Padding)/Critical Divisor

This is used to determine Critical Tier, and subject to randomization

Blood Loss = ((Reduxed Raw Damage + Critical Damage)*(1-Redux)) + Damage Weighting - Damage Padding