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)
Also Read: Valid Perfect Square Java Solution
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