Performance and Refactor: 83% - 86% faster Project Euler 104

[ManpreetXSingh]

Describe your change:

Related Issue #8594
Feedback is welcome and greatly appreciated!

• Refactored is_pandigital_both()

  • Rename check() -> is_pandigital_both()
  • Removed duplicate code, now it uses is_pandigital_end and is_pandigital_start to check both sides of the given number

• Added is_pandigital_start()

• Refactored is_pandigital_end()

  • Rename check1() -> is_pandigital_end()
  • Rename variable check_last -> digit_count
  • Change length of digit_count from 11 -> 10
  • Replace second for loop -> all() because of ruff error SIM110
  • Redundant flag variable f is removed

• Refactored solution() slow_solution()

  • Added parameters a: int, b: int, ck: int, max_k: int
  • Variables renamed:
    • a, b, c -> fk_2, fk_1, fk because fk is k'th fibonacci number, fk_2 = f(k-2) etc.
    • a1, b1, c1 -> mk_2, mk_1, mk because mk_2 = f(k-2) % billion etc.
    • m -> billion
    • tocheck ->end_pandigital
    • x -> k
  • For loop's range changed from range(1_000_000) -> range(3, 1_000_000) and tocheck[x + 3] -> end_pandigital[k]

• Updated docstrings

  • Docstrings are updated for all three functions

• Added 83% - 86% performance improvement

  • New solution removes extra digits towards the end of the fibonacci numbers in the second loop
  • And checks only checks if the starting 9 digits of the number are pandigital in the second loop

• Add an algorithm?
• Fix a bug or typo in an existing algorithm?
• Documentation change?

Checklist:

• I have read CONTRIBUTING.md.
• This pull request is all my own work -- I have not plagiarized.
• I know that pull requests will not be merged if they fail the automated tests.
• This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
• All new Python files are placed inside an existing directory.
• All filenames are in all lowercase characters with no spaces or dashes.
• All functions and variable names follow Python naming conventions.
• All function parameters and return values are annotated with Python type hints.
• All functions have doctests that pass the automated testing.
• All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
• If this pull request resolves one or more open issues then the description above includes the issue number(s) with a closing keyword: "Fixes #ISSUE-NUMBER".