AtCoder Beginner Contest 114
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Problem Statement
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You are given an integer $N$. Among the divisors of $N!$ $(= 1 \times 2 \times ... \times N)$, how many Shichi-Go numbers (literally "Seven-Five numbers") are there?
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Here, a Shichi-Go number is a positive integer that has exactly $75$ divisors.
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Note
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When a positive integer $A$ divides a positive integer $B$, $A$ is said to a divisor of $B$. For example, $6$ has four divisors: $1, 2, 3$ and $6$.
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Constraints
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$1 \leq N \leq 100$$N$is an integer.
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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 the Shichi-Go numbers that are divisors of $N!$.
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样例
Input #1
9
Output #1
0
There are no Shichi-Go numbers among the divisors of $9! = 1 \times 2 \times ... \times 9 = 362880$.
Input #2
10
Output #2
1
There is one Shichi-Go number among the divisors of $10! = 3628800$: $32400$.
Input #3
100
Output #3
543
题目信息
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。