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In which order a binary search tree must be traversed so that the original list from which the tree was constructed can be retrieved?

Posted on June 1, 2020 by Author

Table of Contents

  • 1 In which order a binary search tree must be traversed so that the original list from which the tree was constructed can be retrieved?
  • 2 How will you convert a binary tree to a binary search tree while maintaining its original tree structure?
  • 3 Is BST or not Java?
  • 4 What is the difference between complete binary tree and full binary tree?
  • 5 What is set in C++ with example?
  • 6 How to construct a binary search tree with preorder traversal?

In which order a binary search tree must be traversed so that the original list from which the tree was constructed can be retrieved?

Traversal. A BST can be traversed through three basic algorithms: inorder, preorder, and postorder tree walk.

How will you convert a binary tree to a binary search tree while maintaining its original tree structure?

Following is a 3 step solution for converting Binary tree to Binary Search Tree.

  1. Create a temp array arr[] that stores inorder traversal of the tree. This step takes O(n) time.
  2. Sort the temp array arr[].
  3. Again do inorder traversal of tree and copy array elements to tree nodes one by one.
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Does order of insertion matter in BST?

Q: does the insertion order matter? A: yes!

How do you form BST?

Construct BST from its given level order traversal

  1. First pick the first element of the array and make it root.
  2. Pick the second element, if it’s value is smaller than root node value make it left child,
  3. Else make it right child.

Is BST or not Java?

Given a binary tree, determine whether it is a BST. The BST property “every node on the right subtree has to be larger than the current node and every node on the left subtree has to be smaller than the current node” is the key to figuring out whether a tree is a BST or not.

What is the difference between complete binary tree and full binary tree?

A full binary tree (sometimes proper binary tree or 2-tree) is a tree in which every node other than the leaves has two children. A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.

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What is stdstd set in C++?

std::set is an associative container that contains a sorted set of unique objects of type Key. Sorting is done using the key comparison function Compare. Search, removal, and insertion operations have logarithmic complexity. Sets are usually implemented as red-black trees.

What is the structure of BST with example?

For example in {10, 5, 1, 7, 40, 50}, 10 is the first element, so we make it root. Now we look for the first element greater than 10, we find 40. So we know the structure of BST is as following. We recursively follow above steps for subarrays {5, 1, 7} and {40, 50}, and get the complete tree.

What is set in C++ with example?

Set in C++ Standard Template Library (STL) Sets are a type of associative containers in which each element has to be unique, because the value of the element identifies it. The value of the element cannot be modified once it is added to the set, though it is possible to remove and add the modified value of that element.

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How to construct a binary search tree with preorder traversal?

Given preorder traversal of a binary search tree, construct the BST. For example, if the given traversal is {10, 5, 1, 7, 40, 50}, then the output should be the root of the following tree. Recommended: Please try your approach on {IDE} first, before moving on to the solution. The first element of preorder traversal is always root.

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