Given a matrix containing lower alphabetical characters only, we need to count number of palindromic paths in given matrix. A path is defined as a sequence of cells starting from top-left cell and ending at bottom-right cell. We are allowed to move to right and down only from current cell.

**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 consists of two lines.

First line of each test case consist of two space separated integers R and C, denoting the number of element in a row and column respectively.

Second line of each test case consists of R*C space separated chars denoting the elements in the matrix in row major order.

**Output:**

It should be single line output, Print the respective output in the respective line.

**Constraints:**

1<=T<=20

1<=R,C<=10

**Example:
Input:**

1

3 4

a a a b b a a a a b b a

**Output:**

3

Author: saksham seth

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