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15. Find Operations
This chapter focuses on various tree operations, specifically how to find minimum and maximum values in a binary search tree, as well as understanding the concepts of successor and predecessor in such trees. Through recursive and iterative methods, the minimum and maximum nodes are determined by traversing left and right, respectively. The chapter also discusses how to identify successors and predecessors given specific tree conditions, providing insights into their implementations through structured algorithms.
Sections
This section covers find operations in binary search trees, including recursive and iterative methods for finding minimum and maximum values, as well as successor and predecessor operations.
The minimum value in a binary search tree is found by traversing left until no further left nodes exist.
The maximum value is found by traversing right until no more right nodes are available.
The successor of a node is the smallest value in its right subtree or the lowest ancestor for which the node is in the left subtree.
Minimum Value in Binary Search Tree
The leftmost node in a binary search tree represents the minimum value, as all lesser values are present in the left side.
Maximum Value in Binary Search Tree
The rightmost node represents the maximum value in a binary search tree, as it is greater than all values in the left subtree.
Successor
The successor of a node is the minimum value from its right subtree or the closest ancestor that is greater than the node.
Predecessor
The predecessor of a node is the maximum value from its left subtree or the closest ancestor that is smaller than the node.
Practice Exercises
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
2 more questions available
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