Add Binary Search Implemetation in Java

[SChandrasekhar96]

This PR adds an implementation of a Binary Search Tree (BST) in Java under the tree package.

Features:

• Insertion of nodes
• Inorder Traversal
• Preorder Traversal
• Postorder Traversal

Closes #6334

• I have read CONTRIBUTING.md.
• This pull request is all my own work -- I have not plagiarized it.
• All filenames are in PascalCase.
• All functions and variable names follow Java naming conventions.
• All new algorithms have a URL in their comments that points to Wikipedia or other similar explanations.
• All new code is formatted with clang-format -i --style=file path/to/your/file.java

[codecov-commenter]

Codecov Report

Attention: Patch coverage is 0% with 37 lines in your changes missing coverage. Please review.

Project coverage is 74.18%. Comparing base (712ada5) to head (59ac14e).

Files with missing lines	Patch %	Lines
.../java/com/thealgorithms/tree/BinarySearchTree.java	0.00%	37 Missing ⚠️

Additional details and impacted files

@@             Coverage Diff              @@
##             master    #6334      +/-   ##
============================================
- Coverage     74.33%   74.18%   -0.15%     
  Complexity     5392     5392              
============================================
  Files           679      680       +1     
  Lines         18820    18857      +37     
  Branches       3646     3648       +2     
============================================
  Hits          13990    13990              
- Misses         4274     4311      +37     
  Partials        556      556              

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[vil02]

I have an impression that this is already implemented in BinaryTree.java.

[SChandrasekhar96]

I have an impression that this is already implemented in BinaryTree.java.

Hi @vil02, thank you for pointing that out!

I checked BinaryTree.java, and it appears to implement a general binary tree without enforcing BST properties during insertion (i.e., no ordering based on key values). This PR provides a specific Binary Search Tree implementation where nodes are inserted based on the BST rule: left < root < right.

If you'd still prefer this be merged under BinaryTree.java or as an enhancement to it, I’m happy to modify the structure accordingly.

[vil02]

@SChandrasekhar96: could you elaborate on that? Looking at the put I think the linked implementation maintains the BST order.