feat: Add Traveling Salesman Problem algorithm and tests

[harshithsaiv]

Implemented Traveling Salesman Problem using Dynamic Programming

[harshithsaiv]

@TruongNhanNguyen can you please review the code

[TruongNhanNguyen]

@harshithsaiv Sure, I can provide suggestions that you would like to apply into your code to improve it. I'm just a contributor to this repo and only have contribute rights (give suggestions to make the PR to be better, not the right to merge code into master branch).

[TruongNhanNguyen]

Although your implementation is LGTM, some points in your code need to be changed or improved further.

1. Variable Names: Variable names like n, dp, mask, i, and j are common in dynamic programming algorithms, but they could be more descriptive to enhance readability. For instance, n could be renamed to numCities, dp could be costTable, and so on.
2. We can refactor the code to separate the logic into reusable functions:
   • initializeCostTable initializes the cost table with maximum costs.
   • updateCostTable updates the cost table with the minimum cost to reach each city.
   • findMinimumCost finds the minimum cost to complete the traveling salesman route.
   • The main logic for solving the traveling salesman problem is encapsulated within the TravelingSalesman function, which orchestrates the use of the helper functions.

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 87.43%. Comparing base (833a3e5) to head (c2ff1c3).

Additional details and impacted files

@@            Coverage Diff             @@
##           master     #717      +/-   ##
==========================================
+ Coverage   87.36%   87.43%   +0.07%     
==========================================
  Files         200      201       +1     
  Lines        5317     5350      +33     
==========================================
+ Hits         4645     4678      +33     
  Misses        533      533              
  Partials      139      139              

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[TruongNhanNguyen]

LGTM.