Pow(x, n) Java solution

 Pow(x, n) Java solution

Pow(x, n) Java solution


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
  • -104 <= xn <= 104

Solution:

class Solution {
    public double myPow(double x, int n) {
        if(n>=0)
            return positive(x,n);
        else 
            return negative(x,n);
    }
    
    private double negative(double x, int n)
    {
        if(n==-1)
            return 1/x;
            
        double ans=myPow(x,n/2);
        if(n%2==0)
        return ans*ans;
        else
        return (1/x)*ans*ans;
    }
    
    private double positive(double x, int n)
    {
        if(n==0)
            return 1;
        
        double ans=myPow(x,n/2);
        if(n%2==0)
        return ans*ans;
        else
        return x*ans*ans;    
    }

}

Time Complexity: O(log n)

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