AtCoder Beginner Contest 148
E
Double Factorial
AtCoder
⌀ 818
原题
← DF →
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Problem Statement

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For an integer $n$ not less than $0$, let us define $f(n)$ as follows:

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  • $f(n) = 1$ (if $n < 2$)
  • $f(n) = n f(n-2)$ (if $n \geq 2$)
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Given is an integer $N$. Find the number of trailing zeros in the decimal notation of $f(N)$.

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Constraints

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  • $0 \leq N \leq 10^{18}$
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Input

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Input is given from Standard Input in the following format:

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N

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Output

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Print the number of trailing zeros in the decimal notation of $f(N)$.

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样例

Input #1
12
Output #1
1
$f(12) = 12 × 10 × 8 × 6 × 4 × 2 = 46080$, which has one trailing zero.
Input #2
5
Output #2
0
$f(5) = 5 × 3 × 1 = 15$, which has no trailing zeros.
Input #3
1000000000000000000
Output #3
124999999999999995
题目信息
题号
abc148_e
时间限制
2 s
内存限制
1024 MB

题面与样例版权归 AtCoder 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。