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Distinct Numbers in Window


Problem Description

You are given an array of N integers, A1, A2 ,..., AN and an integer B. Return the of count of distinct numbers in all windows of size B.

Formally, return an array of size N-B+1 where i'th element in this array contains number of distinct elements in sequence Ai, Ai+1 ,..., Ai+B-1.

NOTE: if B > N, return an empty array.



Input Format

First argument is an integer array A
Second argument is an integer B.



Output Format

Return an integer array.



Example Input

Input 1:

 A = [1, 2, 1, 3, 4, 3]
 B = 3

Input 2:

 A = [1, 1, 2, 2]
 B = 1



Example Output

Output 1:

 [2, 3, 3, 2]

Output 2:

 [1, 1, 1, 1]



Example Explanation

Explanation 1:

 A=[1, 2, 1, 3, 4, 3] and B = 3
 All windows of size B are
 [1, 2, 1]
 [2, 1, 3]
 [1, 3, 4]
 [3, 4, 3]
 So, we return an array [2, 3, 3, 2].

Explanation 2:

 Window size is 1, so the output array is [1, 1, 1, 1].



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 doubt? Checkout Sample Codes for more details.
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