title:

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

a

² +

b

² =

c

²

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

There exists exactly one Pythagorean triplet for which a + b + c = 1000.

Find the product abc.

翻译：

勾股数组就是三个自然数a, b, c：

a

² +

b

² =

c

²

(a < b < c)

比如，3² + 4² = 9 + 16 = 25 = 5²。

现存在唯一的勾股数组a, b, c，且a + b + c = 1000。请求出这三个数的乘积。

def resu():	for i in range(1,1000):		for j in range(1,1000):			k=1000-i-j			if i*i+j*j==k*k:				print i*j*k				returnresu()