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Description

Given an integer n, return the number of trailing zeroes in n!.

Follow up: Could you write a solution that works in logarithmic time complexity?

 

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

Solutions

Python3

Java

TypeScript

function trailingZeroes(n: number): number {
    let count = 0;
    while (n > 0) {
        n = Math.floor(n / 5);
        count += n;
    }
    return count;
}

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