Problem Description

Given an array of integers A and multiple values in B which represents the indices of the array A around which left rotation of the array A needs to be performed.

Find the rotated array for each value and return the result in the from of a matrix where i'th row represents the rotated array for the i'th value in B.

Problem Constraints

1 <= length of both arrays <= 2000
-10⁹ <= A[i] <= 10⁹
0 <= B[i] <= 2000

Input Format

The first argument given is the integer array A.
The second argument given is the integer array B.

Output Format

Return the resultant matrix.

Example Input

Input 1:

 A = [1, 2, 3, 4, 5]
 B = [2, 3]

Input 2:

 A = [5, 17, 100, 11]
 B = [1]

Example Output

Output 1:

 [ [3, 4, 5, 1, 2]
 [4, 5, 1, 2, 3] ]

Output 2:

 [ [17, 100, 11, 5] ]