Problem\#1. Write a recursive method eliminatelDigit which accepts a positive integer M (greater than 0 ) and a digit K and returns an integer number N, such that N is a new number without the K digit occurrences of M. If all M digits are equal to the K digit, then return 0 . Consider the following output examples: - Example 1: Command: eliminatedigit 117121 Output: 72 is the number without digit 1 - Example 2: Command: eliminatedigit 3324 Output: 332 is the number without digit 4 - Example 3: Command: eliminatedigit 6666 Output: 0 is the number without digit 6 Problem\#3. Write a recursive method called shuffle that accepts two strings of characters, S1 and S2. The method will return a shuffled string of S1 and S2. The shuffled string will interchange the characters of S1 and S2, respectively. So that the first character of S1 will be followed by the first character of S2, and so on. Consider the following output examples: - Example 1: Command: shuffle abod efgh output: aebfcgdh is the shuffle of abcd efgh - Example 2: Command: shuffle abc fgkl Output: afbgckl is the shuffle of abc fgkl - Example 3: Command: shuffle abcd efg Output: aebfcgd is the shuffle of abcd efg