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: 09/06/1907, input_format=mm/dd/yyyy
Example Output: 06/09/1907

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

Example Input: 07/10/1731, input_format=dd/mm/yyyy
Example Output:
10/07/1731