Given an integer n
, return the number of trailing zeroes in n!
.
Note that n! = n * (n - 1) * (n - 2) * ... * 3 * 2 * 1
.
Example 1:
Input: n = 3 Output: 0 Explanation: 3! = 6, no trailing zero.
Example 2:
Input: n = 5 Output: 1 Explanation: 5! = 120, one trailing zero.
Example 3:
Input: n = 0 Output: 0
Constraints:
0 <= n <= 104
Follow up: Could you write a solution that works in logarithmic time complexity?