69 - Sqrt(x)

Implement

int sqrt(int x)

.

Compute and return the square root of x.

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思路分析：
牛顿迭代法求解平方根。



此时，令f(x) = x^2 - a, 此时迭代格式为：

class Solution {
public:
    int sqrt(int x) {
        // Start typing your C/C++ solution below
        // DO NOT write int main() function
        if (x==0) {return 0;}
        if (x==1) {return 1;}
       
        double x0 = 1;
        double x1;
        while (true){
            x1 = (x0+ x/x0)/2;
            if (abs(x1-x0)<1){return x1;}
            x0=x1;
        }
         
    }
};