34 lines
623 B
C++
34 lines
623 B
C++
/* Check cf5-opt.vim defs.
|
|
VIM: let g:lcppflags="-std=c++11 -O2 -pthread"
|
|
VIM: let g:wcppflags="/O2 /EHsc /DWIN32"
|
|
*/
|
|
#include <iostream>
|
|
|
|
/*
|
|
Special Pythagorean triplet
|
|
Problem 9
|
|
|
|
A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,
|
|
|
|
a^2 + b^2 = c^2
|
|
For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2.
|
|
|
|
There exists exactly one Pythagorean triplet for which a + b + c = 1000.
|
|
Find the product abc.
|
|
|
|
Solution:
|
|
|
|
*/
|
|
|
|
int main ( void )
|
|
{
|
|
// a^2+b^2=c^2=(1000-a-b)^2= 1000^2-2000(a+b)+(a+b)^2=
|
|
// = 1000^2-2000(a+b)+a^2+2ab+b^2 =>
|
|
// => 0=1000^2-2000(a+b)+2ab =>
|
|
// => 500000=1000(a+b)-ab
|
|
|
|
|
|
return 0;
|
|
}
|
|
|