105

AtCoder
IDabc106_b
Time2000ms
Memory256MB
Difficulty
The number $105$ is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between $1$ and $N$ (inclusive)? ## Constraints * $N$ is an integer between $1$ and $200$ (inclusive). ## Input Input is given from Standard Input in the following format: $N$ [samples]
Samples
Input #1
105
Output #1
1

Among the numbers between $1$ and $105$, the only number that is odd and has exactly eight divisors is $105$.
Input #2
7
Output #2
0

$1$ has one divisor. $3$, $5$ and $7$ are all prime and have two divisors. Thus, there is no number that satisfies the condition.
API Response (JSON)
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      "content": "The number $105$ is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between $1$ and $N$ (inclusiv",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
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    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc106_b"
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "The number $105$ is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between $1$ and $N$ (inclusiv...",
      "is_translate": false,
      "language": "English"
    }
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}
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