Company Interview Problems

Company: Samsung

Shortest Source to Destination Path

Given a boolean 2D matrix (0-based index), find whether there is path from (0,0) to (x,y) and if there is one path, print the minimum no of steps needed to reach it, else print -1 if the destination is not reachable. You may move in only four direction ie up, down, left and right. The path can only be created out of a cell if its value is 1.

Input:

The first line of input contains an integer T denoting the no of test cases. Then T test cases follow. Each test case contains two lines . The first line of each test case contains two integers n and m denoting the size of the matrix. Then in the next line are n*m space separated values of the matrix. The following line after it contains two integers x and y denoting the index of the destination.

Output:

For each test case print in a new line the min no of steps needed to reach the destination.

Constraints:

1<=T<=100
1<=n,m<=20

Example:

Input:
2
3 4
1 0 0 0 1 1 0 1 0 1 1 1
2 3
3 4
1 1 1 1 0 0 0 1 0 0 0 1
0 3
Output:
5
3