|
David is labelling boxes in a giant warehouse. He has a *lot* of boxes to |
|
label, but unfortunately his labeling machine is broken, so only some of the |
|
letters work. In order to be efficient, David labels the boxes by first using |
|
every possible 1-letter label in alphabetical order, then using every possible |
|
2-letter label in alphabetical order, then every 3-letter label, etc. |
|
|
|
For example, suppose only the letters 'D', 'T', and 'Z' work. David would |
|
label the first 15 boxes as follows: D, T, Z, DD, DT, DZ, TD, TT, TZ, ZD, ZT, |
|
ZZ, DDD, DDT, DDZ. The first box is considered box #1, not box #0. |
|
|
|
Given a set of working letters **L** on David's labelling machine and a number |
|
**N** of boxes to label, return the label on the last box. |
|
|
|
## Input |
|
|
|
The first line of the input consists of a single integer **T**, the number of |
|
test cases. |
|
Each test case consists of the string **L** and the integer **N**, separated |
|
by a space. |
|
|
|
## Output |
|
|
|
For each test case **i** numbered from 1 to **T**, output "Case #**i**: ", |
|
followed by the label on the last box. |
|
|
|
## Constraints |
|
|
|
1 ≤ **T** ≤ 20 |
|
1 ≤ length(**L**) ≤ 25 |
|
**L** will be in alphabetical order, consist of only uppercase letters A-Z, and contain each letter at most once |
|
1 ≤ **N** ≤ 263-1 |
|
The test cases will be designed so that no label is longer than 50 letters |
|
|
|
|