Finding cycle in 2 dimensional array

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C#

Java

algorithm

Hi i want to find cycles in 2 dimensional(nxm) array. i have n.m-1 filled cell in my array and i want to find cycle starting empty cell, continues in filled cells an finish in empty cell.

For example we have this array;
image

our first cycle is [0,0],[0,3],[2,3],[2,0]
second cycle is [0,1],[0,3],[2,3],[2,2],[3,2],[3,1]

How can i find find all cycles in this array.

Thanks for any help.