7010: ABC171 —— C - One Quadrillion and One Dalmatians
[Creator : ]
Description
$1000000000000001$ 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 $N$?"
- 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 $N$?"
Input
Input is given from Standard Input in the following format:
$N$
$N$
Output
Print the answer to Roger's question as a string consisting of lowercase English letters.
Constraints
$N$ is an integer.
$1 \leq N \leq 1000000000000001$
$1 \leq N \leq 1000000000000001$
Sample 1 Input
2
Sample 1 Output
b
Sample 2 Input
27
Sample 2 Output
aa
Sample 3 Input
123456789
Sample 3 Output
jjddja