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#ActualÁlvaro

Posted 25 January 2014 - 01:57 PM

I am not interested in this conversation, but I think I should clear up the misinformation spewed about factorials.
 
 
 

I'd also say that a human could calculate 1,000,000! before they can build a computer to do be able to do it without imploding.

 
It took me 1 minute to find and install GMP, 2 minutes to write this code:
 
#include <gmpxx.h>
#include <iostream>
 
int main() {
  mpz_class f=1;
  for (int n=1; n<=1000000; ++n)
    f *= n;
  std::cout << f << '\n';
}
2 more minutes to figure out the right g++ invocation, a few seconds to compile and less than 2 minutes to run it.


Now, 1000! has around half a million digits.


1000! has 2568 digits. The precise value is

40238726007709377354370243392300398571937486421071463254379991042993851239862902
05920442084869694048004799886101971960586316668729948085589013238296699445909974
24504087073759918823627727188732519779505950995276120874975462497043601418278094
64649629105639388743788648733711918104582578364784997701247663288983595573543251
31853239584630755574091142624174743493475534286465766116677973966688202912073791
43853719588249808126867838374559731746136085379534524221586593201928090878297308
43139284440328123155861103697680135730421616874760967587134831202547858932076716
91324484262361314125087802080002616831510273418279777047846358681701643650241536
91398281264810213092761244896359928705114964975419909342221566832572080821333186
11681155361583654698404670897560290095053761647584772842188967964624494516076535
34081989013854424879849599533191017233555566021394503997362807501378376153071277
61926849034352625200015888535147331611702103968175921510907788019393178114194545
25722386554146106289218796022383897147608850627686296714667469756291123408243920
81601537808898939645182632436716167621791689097799119037540312746222899880051954
44414282012187361745992642956581746628302955570299024324153181617210465832036786
90611726015878352075151628422554026517048330422614397428693306169089796848259012
54583271682264580665267699586526822728070757813918581788896522081643483448259932
66043367660176999612831860788386150279465955131156552036093988180612138558600301
43569452722420634463179746059468257310379008402443243846565724501440282188525247
09351906209290231364932734975655139587205596542287497740114133469627154228458623
77387538230483865688976461927383814900140767310446640259899490222221765904339901
88601856652648506179970235619389701786004081188972991831102117122984590164192106
88843871218556461249607987229085192968193723886426148396573822911231250241866493
53143970137428531926649875337218940694281434118520158014123344828015051399694290
15348307764456909907315243327828826986460278986432113908350621709500259738986355
42771967428222487575867657523442202075736305694988250879689281627538488633969099
59826280956121450994871701244516461260379029309120889086942028510640182154399457
15680594187274899809425474217358240106367740459574178516082923013535808184009699
63725242305608559037006242712434169090041536901059339838357779394109700277534720
00000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000000000000000000000000000000000000000000000000000000000000000000000000000
00000000

#1Álvaro

Posted 25 January 2014 - 01:54 PM

I am not interested in this conversation, but I think I should clear up the misinformation spewed about factorials.

 


I'd also say that a human could calculate 1,000,000! before they can build a computer to do be able to do it without imploding.

 

It took me 1 minute to find and install GMP, 2 minutes to write this code:

#include <gmpxx.h>
#include <iostream>
 
int main() {
  mpz_class f=1;
  for (int n=1; n<=1000000; ++n)
    f *= n;
  std::cout << f << '\n';
}

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