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Data Structures for Coding Interviews in Java

Solution: Find Minimum Value in Binary Search Tree

Explore two approaches to find the minimum value in a binary search tree using Java. This lesson walks you through iterative and recursive methods, emphasizing the traversal of the left subtree according to BST properties. Understand the efficiency of each approach in terms of time and space complexity, preparing you for coding interviews involving trees.

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Statement

Given the root node of a binary search tree (BST), find and return the minimum value present in the BST.

Constraints:

Let n be the number of nodes in a binary search tree.

  • 0≤0 \leq n ≤500\leq500

  • −104≤-10^4\leq Node.data ≤104\leq10^4

Solution 1: Iterative approach

The essence of the algorithm lies in the property of a BST, where the left subtree of a node contains values smaller than the node's value. Therefore, by traversing always to the left child, the algorithm guarantees that it reaches the minimum value node in the BST. ...