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https://github.com/patryk27/nonogram-solver

Solves monochromatic nonograms, powered by Rust and Z3
https://github.com/patryk27/nonogram-solver

crossword nonogram nonograms puzzle rust sat z3

Last synced: 10 days ago
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Solves monochromatic nonograms, powered by Rust and Z3

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README

        

# nonogram-solver

Solves monochromatic [nonograms](https://en.wikipedia.org/wiki/Nonogram),
powered Rust and Z3, pretty rudimentary.

## Usage

(requires rustup and z3)

```
$ cargo run -- \
--cols '1|1|2|4|7|9|2,8|1,8|8|1,9|2,7|3,4|6,4|8,5|1,11|1,7|8|1,4,8|6,8|4,7|2,4|1,4|5|1,4|1,5|7|5|3|1|1' \
--rows '8,7,5,7|5,4,3,3|3,3,2,3|4,3,2,2|3,3,2,2|3,4,2,2|4,5,2|3,5,1|4,3,2|3,4,2|4,4,2|3,6,2|3,2,3,1|4,3,4,2|3,2,3,2|6,5|4,5|3,3|3,3|1,1'

# https://en.wikipedia.org/wiki/Nonogram#/media/File:Nonogram_wiki.svg
```

```
******** ******* ***** *******
***** **** *** ***
*** *** ** ***
**** *** ** **
*** *** ** **
*** **** ** **
**** ***** **
*** ***** *
**** *** **
*** **** **
**** **** **
*** ****** **
*** ** *** *
**** *** **** **
*** ** *** **
****** *****
**** *****
*** ***
*** ***
* *
```

## Implementation

Nonogram can be represented as a set of regular expressions - e.g. column with
numbers `1` and `8` is:

```
^[ ]*\*{1}[ ]+\*{8}[ ]*$
```

... or, with a couple of comments:

```
^ [ ]* \*{1} [ ]+ \*{8} [ ]* $
1--- 2---- 3--- 4---- 5---

1 - any number of leading spaces
2 - exactly one asterisk
3 - at least one separating space
4 - exactly eight asterisks
5 - any number of trailing spaces
```

Following on this, nonogram-solver builds a regular expression for each column
and row, then sends those constraints to Z3 and parses its response back.

## License

Copyright (c) 2024, Patryk Wychowaniec,

Licensed under the MIT license.