A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,
a2 + b2 = c2
For example, 32 + 42 = 9 + 16 = 25 = 52.
There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.
解：
```python flag = False for a in range(1,1000): for b in range(1,1000): if a ** 2 + b ** 2 == (1000 - a - b) ** 2: print a,b,(1000 - a - b) print a * b * (1000 - a - b) flag = True break if flag: break ```
