On Monday, June 2, 2014 4:31:21 PM UTC+2, Matt wrote:
> I really enjoyed the problem set for round 2.  I still haven't figured 
> 
> out the solution for problem C though, Don't Break the Nile.  Can anyone 
> 
> give me the short version while we wait for the analysis? I can see how 
> 
> it could be modeled as a maximum flow problem, but it would be way too 
> 
> large to be solvable.  I assume from the large constraints it should be 
> 
> possible to process row-by-row up the river, but any method I can think 
> 
> of breaks down on maze-like rivers with dead ends, etc. where it seems 
> 
> like you would need to backtrack.

Solving a max-flow problem is the same as finding a min-cut, which in this case 
amounts to finding a shortest path from the West to the East, with the 
buildings as nodes and the rivers as edges.
The number of buildings is reasonable enough to permit this.

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