10526: ABC114 —— D - 756
[Creator : ]
Description
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?
Here, a Shichi-Go number is a positive integer that has exactly $75$ divisors.
Note: 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 $6$.
Input
Input is given from Standard Input in the following format:
```
$N$
```
```
$N$
```
Output
Print the number of the Shichi-Go numbers that are divisors of $N!$.
Constraints
- $1 \leq N \leq 100$
- $N$ is an integer.
- $N$ is an integer.
Sample 1 Input
9
Sample 1 Output
0
There are no Shichi-Go numbers among the divisors of 9!=1×2×...×9=362880.
Sample 2 Input
10
Sample 2 Output
1
There is one Shichi-Go number among the divisors of 10!=3628800: 32400.
Sample 3 Input
100
Sample 3 Output
543