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Algorithm

50. Pow(x, n)

Description

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

Example 1:

Input: x = 2.00000, n = 10
Output: 1024.00000

Example 2:

Input: x = 2.10000, n = 3
Output: 9.26100

Example 3:

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

Constraints:

  • -100.0 < x < 100.0
  • -231 <= n <= 231-1
  • n is an integer.
  • -104 <= xn <= 104

Solution

class Solution {
    public double myPow(double x, int n) {
        if(n == 0)
            return 1;
        if(n<0){
            return 1/x * myPow(1/x, -(n + 1));
        }
        return (n%2 == 0) ? myPow(x*x, n/2) : x*myPow(x*x, n/2);
    }
}

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