756

AtCoder

IDabc114_d

Time2000ms

Memory256MB

Difficulty—

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. ## Constraints * $1 \leq N \leq 100$ * $N$ is an integer. ## Input Input is given from Standard Input in the following format: $N$ [samples] ## 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 $6$.

Samples

Input #1

Output #1

0

There are no Shichi-Go numbers among the divisors of $9! = 1 \times 2 \times ... \times 9 = 362880$.

Input #2

Output #2

1

There is one Shichi-Go number among the divisors of $10! = 3628800$: $32400$.

Input #3

Output #3

API Response (JSON)

{
  "problem": {
    "name": "756",
    "description": {
      "content": "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 po",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc114_d"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "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?\nHere, a Shichi-Go number is a po...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments