Number of Palindromic paths in a Matrix
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  Difficulty: Medium   Marks: 4

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

** For More Input/Output Examples Use 'Expected Output' option **

Contributor: Saksham Raj Seth
Author: saksham seth


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