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Grokking the Coding Interview Patterns in C++

Build Binary Tree from Preorder and Inorder Traversal

Explore how to build a binary tree by using preorder and inorder traversal arrays. Understand the problem constraints and practice implementing your solution to strengthen your grasp of tree depth-first search techniques.

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Statement

Create a binary tree from two integer arrays, pOrder and iOrder, where pOrder represents a preorder traversal of a binary tree, and iOrder represents an inorder traversal of the same tree.

Constraints:

  • 1≤1 \leq pOrder.length, iOrder.length ≤1000\leq1000
  • iOrder.length ==== pOrder.length
  • −1000≤-1000 \leq pOrder[i], iOrder[i] ≤1000\leq 1000
  • pOrder and iOrder consist of unique values.
  • Each value of iOrder also appears in pOrder and vice versa.

Examples

Understand the problem

Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps us to check if you’re solving the correct problem:

Build Binary Tree from Preorder and Inorder Traversal

1.

Select the correct binary tree constructed from preorder and inorder traversal:

preorder = [1, 12, 15, 6, 9, 5, 2]

inorder = [15, 12, 6, 1, 5, 9, 2]

A.
    1
   /  \
  12   9
 / \  / \
15  6 5  2
B.
    12
   /  \
  1    9
 / \  / \
15  6 5  2
C.
    15
   /  \
  12   9
 / \  / \
1  6 5   2
D.
    9
   /  \
  1   12
 / \  / \
15  6 5  2
1 / 2

Figure it out!

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.
1
2
3
4
5

Try it yourself

Implement your solution in the following coding playground.

C++
usercode > main.cpp
// Definition for a binary tree node

// template<class T>

// class TreeNode {

// public:

//     T data;

//     TreeNode<T>* left;

//     TreeNode<T>* right;



//     TreeNode(const T data) : data(data), left(nullptr), right(nullptr) {}

// };



TreeNode<int>* BuildTree(std::vector<int>& preorder, std::vector<int>& inorder) {

    

    // Replace this placeholder return statement with your code

    return new TreeNode<int>(-1);

}
Build Binary Tree from Preorder and Inorder Traversal