Sudoku solver in different languages

This contains an efficient sudoku solver implemented in different languages, namely:

Python 3
Rust
Go

The goal is just a personal exercise for me to get sense of new programming languages out there and compare their performance.

How to run it

Python

cd python
python3 sudoku.py ../problems/diabolical.txt

Rust

cd rust
cargo run --release ../problems/diabolical.txt

Go

cd go
go run sudoku.go  ../problems/diabolical.txt

Problems

The problems directory contains a set of problems of different complexity. The diabolical.txt and hardest.txt are not really the hardest of them. The hardest so far happens to be hardest3.txt. Problems are in a simple text format, e.g. diabolical.txt looks like this:

0 7 0 2 5 0 4 0 0
8 0 0 0 0 0 9 0 3
0 0 0 0 0 3 0 7 0
7 0 0 0 0 4 0 2 0
1 0 0 0 0 0 0 0 7
0 4 0 5 0 0 0 0 8
0 9 0 6 0 0 0 0 0
4 0 1 0 0 0 0 0 5
0 0 7 0 8 2 0 3 0

Algorithm

The idea is to keep a list of all possible options for each sudoku cell and remove an option from all dependent cells when a particular cell is filled with a number.

Having that, we can iterate over all cells that have a single option and fill those, thus reducing number of options for other cells. If there is no cells with single option, but the problem isn't solved yet, we find first empty cell, and try solving the problem if each of the options would be placed into the cell.