Alien Numbers

The decimal numeral system is composed of ten digits, which we represent as "0123456789" (the digits in a system are written from lowest to highest). Imagine you have discovered an alien numeral system composed of some number of digits, which may or may not be the same as those used in decimal. For example, if the alien numeral system were represented as "oF8", then the numbers one through ten would be (F, 8, Fo, FF, F8, 8o, 8F, 88, Foo, FoF). We would like to be able to work with numbers in arbitrary alien systems. More generally, we want to be able to convert an arbitrary number thatâ€™s written in one alien system into a second alien system.

The first line of input gives the number of cases, $T\leq 100$. $T$ test cases follow. Each case is a line formatted as

alien_number source_language target_language

Each language will be represented by a list of its digits,
ordered from lowest to highest value. No digit will be repeated
in any representation, all digits in the alien number will be
present in the source language, and the first digit of the
alien number will not be the lowest valued digit of the source
language (in other words, the alien numbers have no leading
zeroes). Each digit will either be a number 0-9, an uppercase
or lowercase letter, or one of the following symbols
`!"#$%&'()*+,-./:;<>[email protected][\]^_`{|}~`

You may assume that the number in decimal is positive and at most 1000000000. All languages will have at most 94 digits.

For each test case, output one line containing "Case #$x$: " followed by the alien number translated from the source language to the target language.

Sample Input 1 | Sample Output 1 |
---|---|

4 9 0123456789 oF8 Foo oF8 0123456789 13 0123456789abcdef 01 CODE O!CDE? A?JM!. |
Case #1: Foo Case #2: 9 Case #3: 10011 Case #4: JAM! |