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Post by Orbacal on Aug 12, 2015 10:17:07 GMT -5
Hai, I've decided to count the max number of unique icons for leaderboard appearance. Basically how many combinations of icon+2 colors are there. UPDATE: Recounted for 2.0: 144 icons, 28*28=784 color combinations 144*784*2-144 = 225648 possible combinations of icon + 2 colors + glow for leaderboard appearance
1.93 count: Let's start with color combinations. There are 24 primary and 24 secondary colors. to count all possible color combos, we do: 24 * 24 = 576 So pretty much you can color your icon in 576 different ways. Next, icons. There are 48 cubes, 18 ships, 10 balls and 10 UFOs = 86 icons (not counting wave arrow since you can't select it yet) Now we multiply icon count by color combo count: 576 * 86 = 49536 Now we multiply this by 2 due to 10 map pack secret glow+trail. 49536 * 2 = 99072 Final step is substraction of 86 cubes due to secret glow having no effect on icon with black as primary color: 99072 - 86 = 98986 So, as of 1.93, there are 98986 possible combinations of icon + 2 colors + secret glow. That means, on leaderboard, by 98987th place there is already a repeated icon combination. (statistically)
Note: number of trails doesn't affect final number because it doesn't change icon visually.
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Post by Anditore on Aug 12, 2015 10:22:14 GMT -5
Yeah, wouldn't have thought that it would be almost 100k. Probably cause many combinations look ugly as hell, but kuhl thread. Showing kiddies how to calculate and interpret results
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Post by LuMaIchArgI on Aug 12, 2015 11:38:15 GMT -5
Now calculate how many possible level names there are ( ?° ?? ?°)
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Post by Orbacal on Aug 12, 2015 11:59:04 GMT -5
Now calculate how many possible level names there are ( ?° ?? ?°) Assuming we take max level name length (20). there are 26 letters + 10 digits = 36 usable symbols in level name so the number of possible level names is 36^20 = 36*36*36*36*36*36*36*36*36*36*36*36*36*36*36*36*36*36*36*36 = 13367494538843734067838845976576 possible level names
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Post by Anditore on Aug 12, 2015 12:09:14 GMT -5
Didn't you forget space and - ?
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Post by Orbacal on Aug 12, 2015 12:19:01 GMT -5
Didn't you forget space and - ? Oh ye, forgot space I didn't count - intentionally because it can't be typed right in, but here is the result of including these 2: 38^20 = 39415944008219710658556042674176, which is 3 times more than previous result.
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Post by Drakaglin on Aug 12, 2015 12:52:01 GMT -5
I think you should win something
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Post by Orbacal on Aug 12, 2015 12:58:35 GMT -5
I think you should win something ?
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Post by Cinereal on Aug 12, 2015 13:08:18 GMT -5
You made basic maths look hard there, geez. Good job though, pretty useful (until 2.0 xD)
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Post by megaman9 on Aug 12, 2015 14:07:45 GMT -5
The trail does change the icon appearance. it makes a border around it :V
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Post by Orbacal on Aug 12, 2015 14:19:53 GMT -5
The trail does change the icon appearance. it makes a border around it :V it is not the trail that you unlock for 10 map packs, it is a "secret". Plus, i meant 2.0 incoming trails, i doubt selecting them would change icon appearance. Also, some time ago i suggested to separate rainbow trail and glow around icon.
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353 posts
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Post by Orbacal on Aug 12, 2015 18:08:53 GMT -5
Main thing is how many new colors will be there in 2.0, it makes final number much larger.
Also i think i can research some more statistics
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Post by GD Creeper1347 on Aug 12, 2015 18:13:09 GMT -5
Isn't the max level name length 19?
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353 posts
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Post by Orbacal on Sept 4, 2015 16:27:19 GMT -5
UPDATE: Recounted for 2.0:
144 icons, 28*28=784 color combinations
144*784*2-144 = 225648 possible combinations of icon + 2 colors + glow for leaderboard appearance.
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Post by Zwei on Sept 4, 2015 19:00:45 GMT -5
You miscounted by a long shot in your level calculation. A VERY long shot. It wouldn't be 38^20, it would be... f(n) = 38^n + f(n-1) with exception: f(0) = 0 now solve for f(20) Have fun finding a computer powerful enough to calculate that without blowing up! P.S. The thing above is defined in a recursive function. Here is a regular algebraic expression to replace it: 38^20+38^19+38^18+38^17+38^16+38^15+38^14+38^13+38^12+38^11+38^10+38^9+38^8+38^7+38^6+38^5+38^4+38^3+38^2+38^1 = number that is too big P.S. orba could you tell me what arbitrary precision lib you used to come up with these numbers?
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