Given an integer N. You have to find the number of digits that appear in its factorial, where factorial is defined as, factorial(N) = 1*2*3*4……..*N and factorial(0) = 1.
Example 1:
Input:N = 5
Output:
3
Explanation:
5! is 120 so there are 3
digits in 120
Example 2:
Input:
N = 100
Output:
7
Explanation:
100! is 3628800​ so there are
7 digits in 3628800​
Your Task: You don't need to read input or print anything. Your task is to complete the function facDigits() which takes an integer N as input parameter and returns the number of digits in factorial of N.
Expected Time Complexity: O(1) Expected Space Complexity: O(1)
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Avoid using static/global variables in coding problems as your code is tested
against multiple test cases and these tend to retain their previous values.
Passing the Sample/Custom Test cases in coding problems does not guarantee the
correctness of code. On submission, your code is tested against multiple test cases
consisting of all possible corner cases and stress constraints.
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