I updated the algorithm, an important part was missing from the post (silly me). It should work now:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0
1 1 1 1 1 1 1 1 1 1 1 1 1 - - 0 0 0 0
1 1 1 1 1 1 1 1 1 1 1 1 - - - - 0 0 0
1 1 1 1 1 1 1 1 1 1 1 - - - - - - 0 0
1 1 1 1 1 1 1 1 1 1 - - - - - - - - 0
1 1 1 1 1 1 1 1 1 - - - - - - - - - -
^
minimum
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