In this task, you are given a date in a particular format and you need to convert to another format. If given format is "dd/mm/yyyy" then convert to "mm/dd/yyyy". If given format is "mm/dd/yyyy" then convert to "dd/mm/yyyy".

Example Input: 06/19/1888, input_format=mm/dd/yyyy
Example Output: 19/06/1888

Example Input: 15/08/1635, input_format=dd/mm/yyyy
Example Output: 08/15/1635

Example Input: 12/01/1823, input_format=dd/mm/yyyy
Example Output:
01/12/1823