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Add terms surrounded by zero together in matrix


Hi All,

I think this is a rather tough problem to solve.  I'm stumped and would
really appreciated it if someone can come up with a solution.

What i want to do is this.  Suppose i have the following matrix:

0       0       0       1       0
0       0       1       2       0
0       0       0       2       1
1       3       0       0       0
0       0       0       0       0
0       0       0       0       0
0       0       1       1       0
5       0       3       0       0
0       0       0       0       0
0       0       0       3       1

I'd like to go through it and sum the elements which are surrounded by
zeros.  So for the above case, an output:

[7 4 5 5 4]

is required.  The order in which the groups surrounded by zero is
summed does not matter.

The elements are always integers greater than 0. 

Thanks for any help!


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