Added detailed time and space complexity analysis to enhance clarity

[Disha-Manmode]

This PR adds detailed time and space complexity analysis to the backtracking-based implementation.

Changes made:

• Included time complexity with proper explanation
• Added space complexity considering recursion stack and auxiliary data structures
• Improved overall code readability and documentation quality

This enhancement will help readers and contributors better understand the performance characteristics of the algorithm.

[codecov-commenter]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 79.44%. Comparing base (af1d9d1) to head (78dce9d).

Additional details and impacted files

@@             Coverage Diff              @@
##             master    #7325      +/-   ##
============================================
- Coverage     79.45%   79.44%   -0.01%     
  Complexity     7074     7074              
============================================
  Files           789      789              
  Lines         23150    23150              
  Branches       4553     4553              
============================================
- Hits          18393    18392       -1     
- Misses         4021     4022       +1     
  Partials        736      736              

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[singhc7]

The build is failing. Try to fix it by referring from the logs why it's failing. Also run clang-format and make sure it compiles locally before pushing. Also, touching 17 files in a single PR is too broad, try to split this up into smaller, focused PRs so it's easier on the reviewers.