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This is typically known as Percolation problem and widely used real life computing problems such electronics circuits,
Flow of fluid etc.
Now how do we correlate with what question is where ever there are 1's means its open site and keep moving till we find target through the 1's
Ways to solve this -
1) QuickUnion Algorithm
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- nirdosh.chouhan December 16, 2013This will find the path in linear time.
More details can be found at - Search Quick Union Find