# Design a URL shortening service

• Store given url in a database assigning a unique interger id to it.
• convert the integer to character string that is at most 6 characters long. This problem can basically seen as a base conversion problem where we have a 10 digit input number and we want to convert it into a 6 character long string.
• The long url should also be uniquely identifiable from short url. So we need a Bijective Function. This is necessary so that you can find a inverse function g(‘abc’) = 123 for your f(123) = ‘abc’ function. This means:

• There must be no x1, x2 (with x1 ≠ x2) that will make f(x1) = f(x2),
• and for every y you must be able to find an x so that f(x) = y.

How to convert an integer to a 6 character string

A URL character can be one of the following

• 1) A lower case alphabet [‘a’ to ‘z’], total 26 characters
• 2) An upper case alphabet [‘A’ to ‘Z’], total 26 characters
• 3) A digit [‘0′ to ‘9’], total 10 characters

There are total 26 + 26 + 10 = 62 possible characters.

So the task is to convert a decimal number to base 62 number. Check the base-62 conversion program in Github