Tetrahedral Number

AtCoder

IDabc335_b

Time2000ms

Memory256MB

Difficulty—

You are given an integer $N$. Print all triples of non-negative integers $(x,y,z)$ such that $x+y+z\leq N$ in ascending lexicographical order. What is lexicographical order for non-negative integer triples?A triple of non-negative integers $(x,y,z)$ is said to be **lexicographically smaller** than $(x',y',z')$ if and only if one of the following holds: * $x < x'$; * $x=x'$ and $y< y'$; * $x=x'$ and $y=y'$ and $z< z'$. ## Constraints * $0 \leq N \leq 21$ * $N$ is an integer. ## Input The input is given from Standard Input in the following format: $N$ [samples]

Samples

Input #1

Output #1

Input #2

Output #2

API Response (JSON)

{
  "problem": {
    "name": "Tetrahedral Number",
    "description": {
      "content": "You are given an integer $N$. Print all triples of non-negative integers $(x,y,z)$ such that $x+y+z\\leq N$ in ascending lexicographical order. What is lexicographical order for non-negative integer tr",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc335_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given an integer $N$.\nPrint all triples of non-negative integers $(x,y,z)$ such that $x+y+z\\leq N$ in ascending lexicographical order.\nWhat is lexicographical order for non-negative integer tr...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments