Code for Pattern Recursion is difficult to think

Is there an easier approach to the pattern recursion code which can be thought of ? That will really of great help

Patterns are printed either recursively or iteratively. There are not any other methods for recursion. However you can write the code differently according to you and how you feel it should be. The basic approach would be same in every code. Try getting it by dry running it and let me know if you face any problems.

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I needed help in one more doubt as I am unable to access doubt button in my Data Science course. Can you help me build spark code(with transformations) for Matrix Multiplication in One MapReduce step.