#AT1609. C - One Quadrillion and One Dalmatians
C - One Quadrillion and One Dalmatians
C - One Quadrillion and One Dalmatians
Score : $300$ points
Problem Statement
$1000000000000001$ 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:
Output
Print the answer to Roger's question as a string consisting of lowercase English letters.
2
b
27
aa
123456789
jjddja