There are problems (e.g. [this one][2]) that could potentially be solved easily using traditional algorithmic techniques (as in coding in your typical programming language. I assume that training a NN (or any other machine learning technique) for such sorts of problems will be more time consuming, resource-intensive and pointless.

If I want to solve a problem, how to decide whether it is better to solve algorithmically or by using NN/ML techniques? What are the pros and cons? How can this be done in a systematic way? And if I have to answer someone why I chose a particular domain, how should I answer?

Example problems are appreciated.

  [2]: https://ai.stackexchange.com/q/4859/2444