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Sort K-sorted Array

1. You are given a number n, representing the size of array a. 2. You are given n numbers, representing elements of array a. 3. The array is nearly sorted. Every element is at-max displaced k spots left or right to it's position in the sorted array. Hence it is being called k-sorted array. 4. You are required to sort and print the sorted array. Note -> You can use at-max k extra space and nlogk time complexity.

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Sort K-sorted Array

easy

1. You are given a number n, representing the size of array a. 2. You are given n numbers, representing elements of array a. 3. The array is nearly sorted. Every element is at-max displaced k spots left or right to it's position in the sorted array. Hence it is being called k-sorted array. 4. You are required to sort and print the sorted array. Note -> You can use at-max k extra space and nlogk time complexity.

Constraints

1 <= n <= 30 0 <= n1, n2, .. n elements <= 100 0 < k <= n

Format

Input

Input is managed for you

Output

Print the elements of sorted array in separate lines.

Example

Sample Input

9 3 2 4 1 6 5 7 9 8 3

Sample Output

1 2 3 4 5 6 7 8 9

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