Given a N X N matrix Matrix[N][N] of positive integers. There are only three possible moves from a cell Matrix[r][c].
Starting from any column in row 0, return the largest sum of any of the paths up to row N-1.
The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
The first line of each test case contains a single integer N denoting the order of matrix. Next line contains N*N integers denoting the elements of the matrix in row-major form.
Output the largest sum of any of the paths starting from any cell of row 0 to any cell of row N-1. Print the output of each test case in a new line.
1<=Matrix[i][j]<=1000 (for all 1<=i<=N && 1<=j<=N)
348 391 618 193
Explanation: In the sample test case, the path leading to maximum possible sum is 391->618. (391 + 618 = 1009)