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Could a ML algorithm learn to solve Sudoku?

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Problem: Given a large enough database of solved Sudokus (smaller than 6,670,903,752,021,072,936,960 - the number of all possible 9x9 solution grids), would a Machine Learning algorithm be able to solve any Sudoku fed to it?

I'm just curious, if it is at all possible / whether it was already tried.

submitted by Pr0bability
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