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1000 Must Now Be impossible

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ste_efc
ste_efc
Posts: 2,535
10:17 Mon 23 Feb 09 (GMT)  [Link]  
alexus said:
3.141592653589793238462643383279


Nope it's 3.14159265358979323846264338327
luckypot
luckypot
Admin
Posts: 2,211
11:21 Mon 23 Feb 09 (GMT)  [Link]  
Let's not go too far off topic...

blutch
blutch
Posts: 1,089
12:44 Mon 23 Feb 09 (GMT)  [Link]  
We have already proven that mathematically, the ranking cannot reach 1000. However there was still a possibility of still reaching it due to computers having a limited precision in number's storage.

I've talked to Nick about that, and the result is that it's really impossible to reach a ranking of 1000, even when counting the computing imprecisions.

On funkysnooker the ranking gain is rounded to 2 decimal places (for example 2.4689 is rounded to 2.47, and 3.1345 is rounded to 3.13). Therefore, a ranking gain under 0.005 is rounded to 0.
Now, a player having a ranking of 999.97, winning against a 999.99 player, would gain, in original, 0.004199952116 points, which would get rounded to 0.

Therefore, 999.97 is the biggest ranking ever reachable on original.

Similarly, regular's maximal ranking is 999.96, and arcade's is 999.94 (the difference is due to the different ranking scale).

We can also affirm that, for any ranking scale up to 25, a ranking of 1000 cannot be reached. Indeed, for a ranking scale of 25, a player ranked 999.99 would gain 0.00499975 points for beating another 999.99 player, and this gain would get rounded to 0.

Conversely, for any ranking scale above 25, a ranking of 1000 could be reached. Indeed, for a ranking scale of 26, a player ranked 999.99 would gain 0.00519974 points for beating another 999.99 player, and this gain would get rounded to 0.01, and the ranking would become 1000.

Fortunately enough, we're far enough from having a ranking scale of 26, so it's safe to tell that a ranking of 1000 will never be reached on funkysnooker.


I hope this helps.
Deleted User
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12:45 Mon 23 Feb 09 (GMT)  [Link]  
alexus said:
3.141592653589793238462643383279


You googled it you cheat

Quite right iamtheworst, quite right
Deleted User
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12:51 Mon 23 Feb 09 (GMT)  [Link]  
Didn't google it...




Used Windows Live Search
dgeneratio
dgeneratio
Moderator
Posts: 54,018
12:52 Mon 23 Feb 09 (GMT)  [Link]  
Dogpile is the best search engine
Deleted User
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12:55 Mon 23 Feb 09 (GMT)  [Link]  
name says it all there james.

Well cleared up by the way Blutch, theres your answer peeps
toontomh
toontomh
Posts: 2,988
13:04 Mon 23 Feb 09 (GMT)  [Link]  
And for the first time I properly understood the reason why it can't happen! Nice one Blutch!
iamtheworst
iamtheworst
Posts: 2,677
13:05 Mon 23 Feb 09 (GMT)  [Link]  
the_kop said:
alexus said:
3.141592653589793238462643383279


You googled it you cheat

Quite right iamtheworst, quite right


What did I do?
Deleted User
(IP Logged)
13:07 Mon 23 Feb 09 (GMT)  [Link]  
iamtheworst said:
the_kop said:
alexus said:
3.141592653589793238462643383279


You googled it you cheat

Quite right iamtheworst, quite right


What did I do?


Haha, was sure it was you, it was Josh. Quite right Josh quite right. I just see that pic and automatically think its you
iamtheworst
iamtheworst
Posts: 2,677
13:11 Mon 23 Feb 09 (GMT)  [Link]  
Can't get me off your mind can you Mike.

Bless 'im hes in love.

Someone fetch me a bag, I'm gonna throw up

Deleted User
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13:13 Mon 23 Feb 09 (GMT)  [Link]  
Ok hun here you go


Sorry josh... I tried to stay on topic...
Deleted User
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13:22 Mon 23 Feb 09 (GMT)  [Link]  
Yep cheers for that blutch, i hadnt considered taking rounding into account. If numbers were never rounded it would still be impossible though!
blutch
blutch
Posts: 1,089
13:25 Mon 23 Feb 09 (GMT)  [Link]  
pieceofpig said:
Yep cheers for that blutch, i hadnt considered taking rounding into account. If numbers were never rounded it would still be impossible though!

Absolutely. A well adapted rounding and no rounding at all both guarantee 1000 can't be reached. Only a badly adapted rounding could have lead to the 1000 rank becoming reachable.
Deleted User
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13:28 Mon 23 Feb 09 (GMT)  [Link]  
Well thats one of the major questions answered... so what about the meaning of life blutchy??
blutch
blutch
Posts: 1,089
13:31 Mon 23 Feb 09 (GMT)  [Link]  
the_kop said:
Well thats one of the major questions answered... so what about the meaning of life blutchy??

42...
Deleted User
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13:40 Mon 23 Feb 09 (GMT)  [Link]  
new it
ste_efc
ste_efc
Posts: 2,535
13:43 Mon 23 Feb 09 (GMT)  [Link]  
Very good explanation Blutch. Oh well i did come the closest
Deleted User
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13:45 Mon 23 Feb 09 (GMT)  [Link]  
ste_efc said:
Very good explanation Blutch. Oh well i did come the closest


Yep, you did Ste But who will with new ranking scale?
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1000 Must Now Be impossible

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