Implement pow(x, n), which calculates x raised to the power n (xn).

Example 1:

Input: 2.00000, 10
Output: 1024.00000
Example 2:

Input: 2.10000, 3
Output: 9.26100
Example 3:

Input: 2.00000, -2
Output: 0.25000
Explanation: 2-2 = 1/22 = 1/4 = 0.25
Note:

-100.0 < x < 100.0
n is a 32-bit signed integer, within the range [−231, 231 − 1]


Solution in C++

class Solution {
public:
    double myPow(double x, int n) {
        if (!n || (x==1)) return 1;
        
        double ret=1;
        int iSign=(n>0)?1:-1;

        if (fabs(n)>1) {
            int nn=n/2;
            int nMin=min(fabs(nn),fabs(nn-n))*iSign;
            
            ret=myPow(x, nMin);
            ret*=ret;
            if (n%2==0) return ret;
            n-= nMin*2;
        }
        if (n<0) ret /= x;
        else ret *= x;
        return ret;
    }
};
  • No labels