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VK Cup 2012 Wild-card Round 1:

- Factor

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F. Factorial zeros

time limit per test

3 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou are given a positive integer *n*. Output the number of trailing zeros in *n*! (*n*! denotes a product of integers between 1 and *n*, inclusive).

Input

The only line of input contains an integer *n* (1 ≤ *n* ≤ 1000000).

Output

Output the number of trailing zeros in *n*!.

Examples

Input

6

Output

1

Input

24

Output

4

Note

In the first sample 6! = 720.

In the second sample 24! = 620448401733239439360000.

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