Rotate Array to the Left

You are given an integer d and an array arr of n integers. Your task is to rotate the array to the left d times. That is, the first d elements of the array will move to the end in the same order.

For example, if arr = [1, 2, 3, 4, 5] and d = 4, the rotated array will be [5, 1, 2, 3, 4]. Use LaTeX format for any formulas needed. One can express the rotation operation mathematically as:

$$ \text{result}[i] = arr[(i+d) \mod n] \quad \text{for } i = 0,1,2,\dots, n-1 $$

Write a program that reads from stdin and outputs the rotated array to stdout with numbers separated by a single space.

inputFormat

The first line contains two space-separated integers n and d, where n is the number of elements in the array, and d is the number of left rotations. The second line contains n space-separated integers representing the elements of the array.

outputFormat

Output a single line containing the rotated array as space-separated integers.

## sample

5 2
1 2 3 4 5

3 4 5 1 2