4/N

AtCoder

IDtenka1_2017_c

Time2000ms

Memory256MB

Difficulty—

You are given an integer $N$. Find a triple of positive integers $h$, $n$ and $w$ such that $4/N = 1/h + 1/n + 1/w$. If there are multiple solutions, any of them will be accepted. ## Constraints * It is guaranteed that, for the given integer $N$, there exists a solution such that $h,n,w \leq 3500$. ## Inputs Input is given from Standard Input in the following format: $N$ [samples]

Samples

Input #1

Output #1

1 2 2

$4/2 = 1/1 + 1/2 + 1/2$.

Input #2

Output #2

872 1012974 1539173474040

It is allowed to use an integer exceeding $3500$ in a solution.

Input #3

Output #3

3498 3498 3498

API Response (JSON)

{
  "problem": {
    "name": "4/N",
    "description": {
      "content": "You are given an integer $N$. Find a triple of positive integers $h$, $n$ and $w$ such that $4/N = 1/h + 1/n + 1/w$. If there are multiple solutions, any of them will be accepted.",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "tenka1_2017_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given an integer $N$.\nFind a triple of positive integers $h$, $n$ and $w$ such that $4/N = 1/h + 1/n + 1/w$.\nIf there are multiple solutions, any of them will be accepted.\n\n## Constraints\n\n*  ...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments