Improve validate solutions script & fix pre-commit error (#3253)

* Trying to time every solution

* Proposal 2 for timing PE solutions:

- Use pytest fixture along with --capture=no flag to print out the
  top DURATIONS slowest solution at the end of the test sessions.
- Remove the print part and try ... except ... block from the test
  function.

* Proposal 3 for timing PE solutions:

Completely changed the way I was performing the tests. Instead of
parametrizing the problem numbers and expected output, I will
parametrize the solution file path.

Steps:
- Collect all the solution file paths
- Convert the paths into a Python module
- Call solution on the module
- Assert the answer with the expected results

For assertion, it was needed to convert the JSON list object to
Python dictionary object which required changing the JSON file itself.

* Add type hints for variables

* Fix whitespace in single_qubit_measure