One Quadrillion and One Dalmatians

AtCoder
IDabc171_c
Time2000ms
Memory256MB
Difficulty
$1000000000000001$ dogs suddenly appeared under the roof of Roger's house, all of which he decided to keep. The dogs had been numbered $1$ through $1000000000000001$, but he gave them new names, as follows: * the dogs numbered $1,2,\cdots,26$ were respectively given the names `a`, `b`, ..., `z`; * the dogs numbered $27,28,29,\cdots,701,702 $ were respectively given the names `aa`, `ab`, `ac`, ..., `zy`, `zz`; * the dogs numbered $703,704,705,\cdots,18277,18278 $ were respectively given the names `aaa`, `aab`, `aac`, ..., `zzy`, `zzz`; * the dogs numbered $18279,18280,18281,\cdots,475253,475254 $ were respectively given the names `aaaa`, `aaab`, `aaac`, ..., `zzzy`, `zzzz`; * the dogs numbered $475255,475256,\cdots $ were respectively given the names `aaaaa`, `aaaab`, ...; * and so on. To sum it up, the dogs numbered $1, 2, \cdots$ were respectively given the following names: `a`, `b`, ..., `z`, `aa`, `ab`, ..., `az`, `ba`, `bb`, ..., `bz`, ..., `za`, `zb`, ..., `zz`, `aaa`, `aab`, ..., `aaz`, `aba`, `abb`, ..., `abz`, ..., `zzz`, `aaaa`, ... Now, Roger asks you: "What is the name for the dog numbered $N$?" ## Constraints * $N$ is an integer. * $1 \leq N \leq 1000000000000001$ ## Input Input is given from Standard Input in the following format: $N$ [samples]
Samples
Input #1
2
Output #1
b
Input #2
27
Output #2
aa
Input #3
123456789
Output #3
jjddja
API Response (JSON)
{
  "problem": {
    "name": "One Quadrillion and One Dalmatians",
    "description": {
      "content": "$1000000000000001$ dogs suddenly appeared under the roof of Roger's house, all of which he decided to keep. The dogs had been numbered $1$ through $1000000000000001$, but he gave them new names, as fo",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc171_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "$1000000000000001$ dogs suddenly appeared under the roof of Roger's house, all of which he decided to keep. The dogs had been numbered $1$ through $1000000000000001$, but he gave them new names, as fo...",
      "is_translate": false,
      "language": "English"
    }
  ]
}
Full JSON Raw Segments