Agree with this code makes it really easy. But when you need to solve this matrix at your exams and you haven't enought time it was like really big trouble. So when my children will grow up I hope that I can help them to solve such tasks if it will need them in their future education.
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My daughter studies computer science. Now she learns basic C coding and else. before entering Data Structure, Discrete Math and Algorithm, I am gonna help to enhance understanding on easy algorithm and, furthermore, near future, she may try to study machine learning including Tensorflow, linear regression, and so on.