Problem 1701. Solve the picross! (Hard)

Created by Benoit Charles
Appears in Computational Geometry II

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Solve the picross!

http://en.wikipedia.org/wiki/Nonogram

The arguments (horz and vert) are cells containing the clues, e.g:

horz = { 2, [1, 1], [] }; vert = { 2, 1, 1 };

means

You have to return the completed picross, a logical or double matrix with a 0 for a white case and a 1 for a black case. If we solve the previous example:

So, the output argument should be:

picross = [ 1 1 0 ; 1 0 1 ; 0 0 0 ];

You have to do some guessings and optimize your code to pass the test suite.

Have fun!

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9 Solutions
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Last Solution submitted on Nov 19, 2024

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3 Comments

3 Comments

Richard Zapor on 9 Jul 2013

A good challenging task. Very nice input format of cell arrays.

Rafael S.T. Vieira on 27 Oct 2020

Solving a grid of 75x60 squares within Cody's time limit is extra hard. The greatest challenge is to find a fast code; recursion with backtracking no longer seems like a viable option. And I do hope the author is aware that nonograms are an NP-hard problem, which means there is no known fast algorithm to solve the general case: we have to build one for the specific cases of the test suite.

Rafael S.T. Vieira on 28 Oct 2020

To any new challengers, know that only logic will not solve these puzzles. You will need some guessing, which means make the computer solve it as far as it can and then you, yes YOU, look at the picture (we humans can recognize the shape and finish the puzzle; the computer not so much). And, please, fell free to try some solvers out there.

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