Cool problem. Optimal solutions sometimes appear if moving up is enabled.
functional programming approach
Honestly, I have difficulties with this kind of algorithm. I have the feeling that you only increment i or j, but at the end you check all the matrix.
Thanks, Jean-Marie. This solution uses recursive calls of the function. So all elements of the matrix are processed.
If you would like to learn more about functional programming principles, I recommend 'Functional Programming Principles in Scala' course by Martin Odersky at Coursera. It starts soon. Actually, I wrote this solution after taking the course a year ago. It is very interesting to look at the same problem from different points of view.
Thanks for your advice.
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