A Pythagorean triplet is a set of three natural numbers, a  b  c, for which,

For example, 3² + 4² = 9 + 16 = 25 = 5².

There exists exactly one Pythagorean triplet for which a + b + c = 1000.
Find the product abc.

我的代码是：

import datetime
############主程序################
for a  in  xrange(1,334):for b in  xrange(1,501):c=1000-b-aif c>=500:continueelse:if a**2+b**2==c**2:print a*b*celse:continue

牛人的算法为：
Without programming:

a= 2mn; 

b= m^2 -n^2;

c= m^2 + n^2;

a + b + c = 1000;

2mn + (m^2 -n^2) + (m^2 + n^2) = 1000;

2mn + 2m^2 = 1000;

2m(m+n) = 1000;

m(m+n) = 500;

m>n;

m= 20; n= 5;

a= 200; b= 375; c= 425;

牛的是一踏糊涂。。