leetcode 633. Sum of Square Numbers

1.题目

Given a non-negative integer c, your task is to decide whether there’re two integers a and b such that a2 + b2 = c.
给一个数字C，判断C是否能由两个数的平方组成
Example 1:
Input: 5
Output: True
Explanation: 1 * 1 + 2 * 2 = 5
Example 2:
Input: 3
Output: False

2.分析

要找出是否存在a2 + b2 = c. 先限定a,b的范围。 0<=a,b<=sqrt(c)
然后从两端向中间逼近。

3.代码

class Solution {public:    bool judgeSquareSum(int c) {        int left = 0, right = sqrt(c);        while (left <= right) {            int result = left*left + right*right;            if (result == c)                return true;            else if (result < c)                ++left;            else                --right;        }        return false;    }};