Solution (leetcode-in-java 1.21 API)

java.lang.Object
- g0701_0800.s0793_preimage_size_of_factorial_zeroes_function.Solution

```
public class Solution
extends Object
```
793 - Preimage Size of Factorial Zeroes Function.
Hard

Let f(x) be the number of zeroes at the end of x!. Recall that x! = 1 * 2 * 3 * ... * x and by convention, 0! = 1.
- For example, f(3) = 0 because 3! = 6 has no zeroes at the end, while f(11) = 2 because 11! = 39916800 has two zeroes at the end.
Given an integer k, return the number of non-negative integers x have the property that f(x) = k.

Example 1:

Input: k = 0

Output: 5

Explanation: 0!, 1!, 2!, 3!, and 4! end with k = 0 zeroes.

Example 2:

Input: k = 5

Output: 0

Explanation: There is no x such that x! ends in k = 5 zeroes.

Example 3:

Input: k = 3

Output: 5

Constraints:
- 0 <= k <= 10⁹

- Constructor Summary
  
  Constructors
  Constructor Description
  
  Solution()
- Method Summary
  
  All Methods Instance Methods Concrete Methods
  Modifier and Type Method Description
  
  int preimageSizeFZF(int k)
  - Methods inherited from class java.lang.Object
    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail
- Solution
```
public Solution()
```

Method Detail
- preimageSizeFZF
```
public int preimageSizeFZF(int k)
```