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Count Distinct Elements In Every Window Of Size K

1. You are given an array(arr) of integers and a number K. 2. You have to find the count of distinct numbers in all windows of size k.

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Count Distinct Elements In Every Window Of Size K

easy

1. You are given an array(arr) of integers and a number K. 2. You have to find the count of distinct numbers in all windows of size k.

Constraints

1 <= N <= 10^5 1 <= arr[i] <= 10^4 1 <= k <= N

Format

Input

A number N arr1 arr2.. N numbers A number K

Output

Space separated numbers representing the count of distinct numbers in all windows of size k.

Example

Sample Input

7 1 2 1 3 4 2 3 4

Sample Output

3 4 4 3

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