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# Distinct Numbers

Problem Description

You are given an array of integers A having D distinct numbers. There is an operation that you can apply any number of times on the A.

In one operation, you can do A[i] = A[i] ⊕ X; where X can be any integer and is a XOR operation.

Return the minimum number of such operations required to modify A in such a way that it only contains at most B distinct numbers.

Problem Constraints
1 <= |A| <= 105

0 <= A[i] <= 109

1 <= K <= 105

Input Format
First argument is an array of integers A
Second argument is an integer B

Output Format
Return an integer denoting the minimum number of operations

Example Input
Input 1:
`A = [1, 2, 3]B = 2`
Input 2:
`A = [1, 2, 2]B = 2`

Example Output
Output 1:
`1`
Output 2:
`0`

Example Explanation
For Input 1:
`A[0] ⊕ 2 = 1 ⊕ 2 = 3A = [3, 2, 3]So, Minimum operations = 1`
For Input 2:
`No operation is required`

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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