Consider a situation where you don't have function to calculate power and you need to calculate x^n where x can be any number and n is a positive integer. What can be the best possible time complexity of your power function?Group of answer choicesO(LogLogN)O(LogN)O(NlogN)O(N)
Question
Consider a situation where you don't have function to calculate power and you need to calculate x^n where x can be any number and n is a positive integer. What can be the best possible time complexity of your power function?Group of answer choicesO(LogLogN)O(LogN)O(NlogN)O(N)
Solution
The best possible time complexity of your power function can be O(LogN). This is because you can use the "exponentiation by squaring" method to calculate power.
Here are the steps for this method:
- If the power n is even, you can calculate x^n by squaring the result of x^(n/2).
- If the power n is odd, you can calculate x^n by multiplying x with the square of x^((n-1)/2).
This method only needs to perform
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