Problem 1907. Capture the flag(s)

Created by Alfonso Nieto-Castanon

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Flags are distributed randomly on a large board. Starting from the corner position your goal is to capture as many flags as possible in at most N moves.Description:The board is described by a matrix B with 1's at the flag positions, and 0's otherwise.E.g.<pre> B = [0 0 1 1; 
 0 0 1 1;
 0 0 1 0];</pre><pre> N = 6;</pre>You are starting at the top-left corner (row=1, col=1) and are allowed N steps (steps are up/down/left/right movements, no diagonal movements allowed).Return a trajectory attempting to maximize the number of flags captured. The output of your function should be a Nx2 matrix of the form [row, col] (not including the initial [1,1] position) visiting as many flags as possible.E.g.<pre> path = [1 2;
 1 3;
 1 4;
 2 4;
 2 3;
 3 3];</pre>This solution captures all 5 flags on the board.Scoring:Your function will receive a score equal to the number of non-visited flags across all 50 of the testsuite problems. You need to leave at most 10,000 flags univisited (among 50,000 total flags) to pass this problem.Note:The boards and number of movements allowed will be large. Optimizing over all possible trajectories is very likely to time out.

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Last Solution submitted on Jan 17, 2020

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Paul Berglund on 1 Oct 2013

I love the fact that you put an animation option in. It's not just helpful to see where your heuristic is messing up, it's fun to watch too.

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Solution 327239

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Paul Berglund on 1 Oct 2013

OK, at the cost of taking twice the running time I was able to squeeze into Cody's tiny memory. Now I can think about improving the heuristic...

Solution 327224

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1 Comment

Paul Berglund on 1 Oct 2013

This runs fine on my machine but I guess Cody is running without very much memory, so it can't handle it...well it was only scoring about 3000 anyway.

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Problem 1907. Capture the flag(s)

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Problem 1907. Capture the flag(s)

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