Given an square matrix, turn it by 90 degrees in anti-clockwise direction without using any extra space.

**Input:**

The first line of input contains a single integer T denoting the number of test cases. Then** **T test cases follow. Each test case consist of two lines. The first line of each test case consists of an integer N, where N is the size of the square matrix.The second line of each test case contains NxN space separated values of the matrix M.

**Output:**

Corresponding to each test case, in a new line, print the rotated array.

**Constraints:**

1 ≤ T ≤ 50

1 ≤ N ≤ 50

**Example:**

**Input**

1

3

1 2 3 4 5 6 7 8 9

**Output**

3 6 9 2 5 8 1 4 7

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