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Stabilis -> Maximum Range of Skill Trees (11/26/2012 11:00:03)
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Here are 2 ways to get the most number of possible skill trees:
quote:
A:
At maximum level, 100% of skill points are available. An empty skill slot for saving points into is also available so that players can have less than level 10 skills. A build is not able to be made if requirements are not met, as it is today.
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quote:
B:
At maximum level, 50% of skill points are available. The allocation of all available skill points is mandatory. Problem: some skills can cause stat requirement issues. Unless: the slot for depositing skill points used in A is used here.
Why 50%? Think of it is way... in the combination logic of math, if you can choose 10 flavours of ice cream but you get 0 scoops, you have 1 choice. If you can choose 10 flavours and you get 10 scoops but you can only get 1 of each flavour, you have 1 choice.
If, you can choose 10 flavours of ice cream and you get 5 scoops but you can only get 1 of each flavour, you have 252 choices (the logic is: [n!]/[[n-r]!*[r]!] in which n represents the number of different sets and r represents the number of choices).
So as you can see, as the number of choices becomes closer to the number of different sets divided by 2 (10/2 = 5), the number of possible combinations approaches the maximum. So for EpicDuel, there are 12 skills multiplied by 10 from the 10 possible skill levels. Half of 120 is 60, so 120!/((120-60)!x60!) = 9.6x10^34 (rounded to 1 decimal place)...
or 96,000,000,000,000,000,000,000,000,000,000,000 possible "builds".
The levelling rate for skill points...
For A:
120 skill points at maximum level. Using 35 as a constant for maximum level, 120/35 = 3.4 (rounded) skill points per level, or 34 skill points per 10 levels, and every 10th level + 1 is 4 skill points at that level (example level 11 = 38 skill points).
For B:
60 skill points at maximum level. Using 35 as a constant for maximum level, 60/35 = 1.7 (rounded) skill points per level, or 17 skill points per 10 levels, and every 10th level + 1 is 2 skill points at that level (example level 11 = 19 skill points).
By the way, for A, there are double the exponent of B in builds for EpicDuel. In B there were 9.6x10^34 builds, so for A, which is a permutation instead of a combination (so the logic would be, [n+r-1]!/[r![n-1]!]), there are 9.6x10^(34x2) which is approximately 4.5x10^70 possible builds...
or 45,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 possible builds.
EDIT:
And because of level requirements for skills, the number of different skills is affected. For example, a level 19 player can not use level 20 skills, so their total number of different skills is 9x10 instead of 12x10.
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