Template:Spell probability table
From Heroes of Might and Magic III
Jump to navigationJump to searchSpell probabilities[edit source]
NOTE: In these tables:
1) Good/Evil/Neutral factions have been colored as sometimes spells are available based on alignment.
2) A "-" means a Mage Guild of that level is not available in this town.
Mage Guild Probabilities[edit source]
The values in this table are the probabilities of a spell appearing in a given mage guild. These values are not in the game files.
Details
- The formula for % chance for a spell to appear in a given mage guild is close to 1-(1-(x/100))y, where x is the value in the Spell Slot Probabilities table and y is the # of spell slots for the spell level (e.g. 5 for level 1, 2 for level 4, +1 if the town is a Tower containing a library).
- For Example: Magic Arrow has a 30% chance of appearing in a given level 1 spell slot (of which there are 5), so the chance to appear in a given mage guild is 1-(1-30/100)5=1-(0.7)5=1-0.16807 = ~83%
- BUT - this formula assumes that a spell could show up multiple times in a level which it can't. If a different spell is chosen for the first available slot, then the formula for the second available slot would be 1-(1-(x/(100-z))), where z is the value in this table of the chosen spell.
- Every subsequently chosen other spell would modify the formula for the probability of the next slot (e.g. 1-(1-(x/(100-z1-z2-z3...)))
- If a spell could appear multiple times, the formula for every slot would be 1-(1-(x/100)).
- As such, the actual probabilities presented below are generally higher than (1-(1-(x/100))y), since for each spell chosen in a slot the remaining spell pool is reduced and any given spell's chances go up.
NOTE: The 2 Tower values are for without/with the library.
School | Level | ![]() |
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Water | 1 | 54 | 32 | 31 / 39 | 0 | 0 | 19 | 20 | 31 | 31 | 53 | 20 |
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Fire | 1 | 0 | 0 | 0 / 0 | 53 | 32 | 30 | 53 | 31 | 31 | 31 | 31 |
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Water | 1 | 54 | 54 | 31 / 39 | 31 | 0 | 30 | 31 | 53 | 31 | 31 | 31 |
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Fire | 1 | 0 | 0 | 20 / 25 | 31 | 54 | 30 | 0 | 0 | 0 | 0 | 0 |
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Water | 1 | 54 | 54 | 53 / 63 | 53 | 54 | 52 | 53 | 53 | 53 | 53 | 53 |
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Air | 1 | 32 | 54 | 31 / 39 | 31 | 32 | 52 | 31 | 53 | 53 | 53 | 53 |
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All | 1 | 89 | 89 | 88 / 94 | 88 | 89 | 88 | 88 | 88 | 88 | 88 | 88 |
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Fire | 1 | 20 | 20 | 20 / 25 | 20 | 20 | 19 | 20 | 20 | 20 | 20 | 20 |
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Water | 1 | 20 | 20 | 20 / 25 | 20 | 20 | 19 | 20 | 20 | 20 | 20 | 20 |
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Earth | 1 | 54 | 20 | 31 / 39 | 20 | 54 | 30 | 31 | 31 | 31 | 20 | 31 |
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Earth | 1 | 32 | 54 | 53 / 63 | 53 | 32 | 30 | 31 | 31 | 53 | 31 | 31 |
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Earth | 1 | 32 | 32 | 53 / 63 | 31 | 54 | 30 | 53 | 31 | 31 | 31 | 53 |
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Water | 1 | 20 | 32 | 31 / 39 | 31 | 20 | 30 | 31 | 20 | 20 | 31 | 31 |
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Air | 1 | 20 | 20 | 20 / 25 | 20 | 20 | 19 | 20 | 20 | 20 | 20 | 20 |
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Earth | 1 | 20 | 20 | 20 / 25 | 20 | 20 | 19 | 20 | 20 | 20 | 20 | 20 |
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Fire | 2 | 25 | 35 | 13 / 18 | 47 | 24 | 25 | 24 | 35 | 37 | 0 | 44 |
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Earth | 2 | 0 | 0 | 0 / 0 | 0 | 95 | 0 | 0 | 0 | 0 | 0 | 0 |
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Air | 2 | 13 | 13 | 13 / 18 | 18 | 13 | 13 | 13 | 0 | 10 | 13 | 13 |
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Air | 2 | 35 | 25 | 35 / 46 | 47 | 24 | 35 | 35 | 35 | 37 | 25 | 25 |
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Fire | 2 | 25 | 25 | 25 / 33 | 47 | 24 | 25 | 24 | 25 | 37 | 25 | 25 |
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Air | 2 | 25 | 35 | 25 / 33 | 18 | 13 | 13 | 24 | 25 | 10 | 25 | 13 |
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Water | 2 | 95 | 95 | 35 / 46 | 0 | 35 | 35 | 24 | 96 | 77 | 96 | 25 |
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Air | 2 | 25 | 25 | 96 / 98 | 65 | 35 | 95 | 95 | 25 | 77 | 25 | 96 |
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Air | 2 | 35 | 35 | 25 / 33 | 34 | 13 | 35 | 24 | 25 | 10 | 25 | 35 |
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Air | 2 | 13 | 13 | 13 / 18 | 18 | 13 | 13 | 13 | 13 | 10 | 13 | 13 |
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Earth | 2 | 25 | 25 | 35 / 46 | 18 | 24 | 25 | 35 | 35 | 20 | 25 | 25 |
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Water | 2 | 25 | 25 | 35 / 46 | 18 | 24 | 25 | 24 | 25 | 20 | 25 | 25 |
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Water | 2 | 35 | 25 | 25 / 33 | 18 | 24 | 25 | 24 | 25 | 20 | 45 | 25 |
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All | 2 | 13 | 13 | 13 / 18 | 18 | 13 | 13 | 13 | 13 | 10 | 13 | 13 |
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Water | 2 | 13 | 13 | 13 / 18 | 34 | 24 | 25 | 24 | 25 | 20 | 45 | 25 |
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Air | 3 | 13 | 24 | 24 / 32 | 9 | 13 | 13 | 24 | 17 | 13 | 7 | 24 |
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Earth | 3 | 0 | 0 | 0 / 0 | 0 | 44 | 0 | 0 | 0 | 0 | 0 | 0 |
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Earth | 3 | 35 | 24 | 24 / 32 | 17 | 24 | 24 | 35 | 40 | 35 | 32 | 24 |
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Air | 3 | 35 | 24 | 24 / 32 | 9 | 0 | 13 | 13 | 9 | 13 | 7 | 13 |
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Earth | 3 | 13 | 24 | 13 / 17 | 25 | 13 | 13 | 13 | 90 | 13 | 26 | 24 |
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Fire | 3 | 24 | 24 | 24 / 32 | 90 | 35 | 44 | 35 | 9 | 35 | 7 | 34 |
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Earth | 3 | 13 | 13 | 24 / 32 | 9 | 24 | 24 | 13 | 17 | 24 | 14 | 24 |
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Water | 3 | 24 | 24 | 13 / 17 | 17 | 13 | 13 | 13 | 17 | 24 | 26 | 13 |
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Water | 3 | 44 | 43 | 43 / 55 | 0 | 35 | 35 | 35 | 17 | 35 | 69 | 34 |
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Air | 3 | 13 | 13 | 24 / 32 | 25 | 0 | 24 | 13 | 17 | 35 | 14 | 13 |
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Fire | 3 | 24 | 24 | 24 / 32 | 25 | 24 | 35 | 24 | 9 | 13 | 14 | 24 |
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Water | 3 | 13 | 13 | 13 / 17 | 9 | 13 | 13 | 35 | 9 | 13 | 26 | 13 |
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Fire | 3 | 13 | 13 | 13 / 17 | 25 | 24 | 13 | 13 | 9 | 13 | 14 | 18 |
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Earth | 3 | 13 | 13 | 13 / 17 | 9 | 13 | 13 | 13 | 0 | 13 | 14 | 13 |
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Water | 3 | 24 | 24 | 24 / 32 | 32 | 24 | 24 | 24 | 40 | 24 | 32 | 29 |
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Fire | 4 | 0 | 0 | 0 / 0 | 10 | 10 | 20 | - | - | 0 | 0 | 0 |
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Fire | 4 | 10 | 10 | 10 / 16 | 10 | 20 | 10 | - | - | 10 | 10 | 10 |
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Air | 4 | 20 | 20 | 20 / 29 | 20 | 20 | 20 | - | - | 20 | 20 | 20 |
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Water | 4 | 10 | 10 | 20 / 29 | 10 | 10 | 10 | - | - | 20 | 20 | 10 |
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Air | 4 | 10 | 20 | 10 / 16 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
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Fire | 4 | 10 | 10 | 10 / 16 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
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Fire | 4 | 10 | 10 | 10 / 16 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
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Fire | 4 | 10 | 10 | 10 / 16 | 20 | 10 | 10 | - | - | 20 | 10 | 20 |
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Earth | 4 | 20 | 20 | 20 / 29 | 20 | 20 | 20 | - | - | 20 | 20 | 20 |
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Water | 4 | 20 | 10 | 10 / 16 | 0 | 0 | 0 | - | - | 10 | 20 | 10 |
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Earth | 4 | 20 | 20 | 20 / 29 | 20 | 20 | 20 | - | - | 10 | 10 | 20 |
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Fire | 4 | 10 | 10 | 10 / 16 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
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Earth | 4 | 10 | 10 | 10 / 16 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
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Earth | 4 | 20 | 20 | 20 / 29 | 20 | 20 | 20 | - | - | 20 | 20 | 20 |
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Water | 4 | 20 | 20 | 20 / 29 | 20 | 20 | 20 | - | - | 20 | 20 | 20 |
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Air | 5 | - | 0 | 14 / 28 | 0 | 16 | 0 | - | - | 12 | - | 16 |
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Air | 5 | - | 20 | 14 / 28 | 16 | 16 | 16 | - | - | 13 | - | 16 |
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Earth | 5 | - | 16 | 14 / 28 | 16 | 16 | 12 | - | - | 12 | - | 16 |
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Fire | 5 | - | 0 | 0 / 0 | 16 | 0 | 12 | - | - | 12 | - | 0 |
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Air | 5 | - | 16 | 16 / 32 | 16 | 16 | 12 | - | - | 13 | - | 20 |
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Earth | 5 | - | 16 | 14 / 28 | 16 | 20 | 12 | - | - | 13 | - | 16 |
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Air | 5 | - | 16 | 14 / 28 | 0 | 0 | 12 | - | - | 13 | - | 16 |
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Fire | 5 | - | 0 | 0 / 0 | 20 | 16 | 12 | - | - | 0 | - | 0 |
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Water | 5 | - | 16 | 14 / 28 | 0 | 0 | 12 | - | - | 12 | - | 0 |
Spell Slot Probabilities
Spell Slot Probabilities[edit source]
The values in this table are the probabilities of a single spell slot containing the given spell. These are percentages based on the values stored in the game files.
School | Level | ![]() |
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Water | 1 | 10 | 5 | 5 | 0 | 0 | 3 | 3 | 5 | 5 | 10 | 3 |
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Fire | 1 | 0 | 0 | 0 | 10 | 5 | 5 | 10 | 5 | 5 | 5 | 5 |
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Water | 1 | 10 | 10 | 5 | 5 | 0 | 5 | 5 | 10 | 5 | 5 | 5 |
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Fire | 1 | 0 | 0 | 3 | 5 | 10 | 5 | 0 | 0 | 0 | 0 | 0 |
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Water | 1 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
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Air | 1 | 5 | 10 | 5 | 5 | 5 | 10 | 5 | 10 | 10 | 10 | 10 |
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All | 1 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
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Fire | 1 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
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Water | 1 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
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Earth | 1 | 10 | 3 | 5 | 3 | 10 | 5 | 5 | 5 | 5 | 3 | 5 |
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Earth | 1 | 5 | 10 | 10 | 10 | 5 | 5 | 5 | 5 | 10 | 5 | 5 |
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Earth | 1 | 5 | 5 | 10 | 5 | 10 | 5 | 10 | 5 | 5 | 5 | 10 |
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Water | 1 | 3 | 5 | 5 | 5 | 3 | 5 | 5 | 3 | 3 | 5 | 5 |
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Air | 1 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
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Earth | 1 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
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Fire | 2 | 4 | 6 | 2 | 12 | 4 | 4 | 4 | 6 | 8 | 0 | 8 |
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Earth | 2 | 0 | 0 | 0 | 0 | 50 | 0 | 0 | 0 | 0 | 0 | 0 |
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Air | 2 | 2 | 2 | 2 | 4 | 2 | 2 | 2 | 0 | 2 | 2 | 2 |
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Air | 2 | 6 | 4 | 6 | 12 | 4 | 6 | 6 | 6 | 8 | 4 | 4 |
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Fire | 2 | 4 | 4 | 4 | 12 | 4 | 4 | 4 | 4 | 8 | 4 | 4 |
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Air | 2 | 4 | 6 | 4 | 4 | 2 | 2 | 4 | 4 | 2 | 4 | 2 |
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Water | 2 | 50 | 50 | 6 | 0 | 6 | 6 | 4 | 50 | 25 | 50 | 4 |
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Air | 2 | 4 | 4 | 50 | 20 | 6 | 50 | 50 | 4 | 25 | 4 | 50 |
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Air | 2 | 6 | 6 | 4 | 8 | 2 | 6 | 4 | 4 | 2 | 4 | 6 |
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Air | 2 | 2 | 2 | 2 | 4 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
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Earth | 2 | 4 | 4 | 6 | 4 | 4 | 4 | 6 | 6 | 4 | 4 | 4 |
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Water | 2 | 4 | 4 | 6 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
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Water | 2 | 6 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 8 | 4 |
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All | 2 | 2 | 2 | 2 | 4 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
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Water | 2 | 2 | 2 | 2 | 8 | 4 | 4 | 4 | 4 | 4 | 8 | 4 |
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Air | 3 | 4 | 8 | 8 | 2 | 4 | 4 | 8 | 4 | 4 | 2 | 8 |
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Earth | 3 | 0 | 0 | 0 | 0 | 16 | 0 | 0 | 0 | 0 | 0 | 0 |
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Earth | 3 | 12 | 8 | 8 | 4 | 8 | 8 | 12 | 10 | 12 | 10 | 8 |
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Air | 3 | 12 | 8 | 8 | 2 | 0 | 4 | 4 | 2 | 4 | 2 | 4 |
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Earth | 3 | 4 | 8 | 4 | 6 | 4 | 4 | 4 | 50 | 4 | 8 | 8 |
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Fire | 3 | 8 | 8 | 8 | 50 | 12 | 16 | 12 | 2 | 12 | 2 | 12 |
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Earth | 3 | 4 | 4 | 8 | 2 | 8 | 8 | 4 | 4 | 8 | 4 | 8 |
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Water | 3 | 8 | 8 | 4 | 4 | 4 | 4 | 4 | 4 | 8 | 8 | 4 |
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Water | 3 | 16 | 16 | 16 | 0 | 12 | 12 | 12 | 4 | 12 | 30 | 12 |
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Air | 3 | 4 | 4 | 8 | 6 | 0 | 8 | 4 | 4 | 12 | 4 | 4 |
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Fire | 3 | 8 | 8 | 8 | 6 | 8 | 12 | 8 | 2 | 4 | 4 | 8 |
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Water | 3 | 4 | 4 | 4 | 2 | 4 | 4 | 12 | 2 | 4 | 8 | 4 |
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Fire | 3 | 4 | 4 | 4 | 6 | 8 | 4 | 4 | 2 | 4 | 4 | 6 |
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Earth | 3 | 4 | 4 | 4 | 2 | 4 | 4 | 4 | 0 | 4 | 4 | 4 |
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Water | 3 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 10 | 8 | 10 | 10 |
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Fire | 4 | 0 | 0 | 0 | 5 | 5 | 10 | - | - | 0 | 0 | 0 |
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Fire | 4 | 5 | 5 | 5 | 5 | 10 | 5 | - | - | 5 | 5 | 5 |
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Air | 4 | 10 | 10 | 10 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
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Water | 4 | 5 | 5 | 10 | 5 | 5 | 5 | - | - | 10 | 10 | 5 |
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Air | 4 | 5 | 10 | 5 | 5 | 5 | 5 | - | - | 5 | 5 | 5 |
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Fire | 4 | 5 | 5 | 5 | 5 | 5 | 5 | - | - | 5 | 5 | 5 |
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Fire | 4 | 5 | 5 | 5 | 5 | 5 | 5 | - | - | 5 | 5 | 5 |
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Fire | 4 | 5 | 5 | 5 | 10 | 5 | 5 | - | - | 10 | 5 | 10 |
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Earth | 4 | 10 | 10 | 10 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
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Water | 4 | 10 | 5 | 5 | 0 | 0 | 0 | - | - | 5 | 10 | 5 |
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Earth | 4 | 10 | 10 | 10 | 10 | 10 | 10 | - | - | 5 | 5 | 10 |
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Fire | 4 | 5 | 5 | 5 | 5 | 5 | 5 | - | - | 5 | 5 | 5 |
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Earth | 4 | 5 | 5 | 5 | 5 | 5 | 5 | - | - | 5 | 5 | 5 |
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Earth | 4 | 10 | 10 | 10 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
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Water | 4 | 10 | 10 | 10 | 10 | 10 | 10 | - | - | 10 | 10 | 10 |
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Air | 5 | - | 0 | 14 | 0 | 16 | 0 | - | - | 12 | - | 16 |
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Air | 5 | - | 20 | 14 | 16 | 16 | 16 | - | - | 13 | - | 16 |
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Earth | 5 | - | 16 | 14 | 16 | 16 | 12 | - | - | 12 | - | 16 |
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Fire | 5 | - | 0 | 0 | 16 | 0 | 12 | - | - | 12 | - | 0 |
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Air | 5 | - | 16 | 16 | 16 | 16 | 12 | - | - | 13 | - | 20 |
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Earth | 5 | - | 16 | 14 | 16 | 20 | 12 | - | - | 13 | - | 16 |
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Air | 5 | - | 16 | 14 | 0 | 0 | 12 | - | - | 13 | - | 16 |
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Fire | 5 | - | 0 | 0 | 20 | 16 | 12 | - | - | 0 | - | 0 |
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Water | 5 | - | 16 | 14 | 0 | 0 | 12 | - | - | 12 | - | 0 |