VERTICAL ORDER TRAVERSALYou are given root of a binary tree, your task is to print the nodes in order obtained via vertical traversal of the tree.The vertical order traversal of a binary tree is a list of top-to-bottom orderings for each column index starting from the leftmost column and ending on the rightmost column. There may be multiple nodes in the same row and same column. In such a case, sort these nodes by their values.For each node at position (row, col), its left and right children will be at positions (row + 1, col - 1) and (row + 1, col + 1) respectively. The root of the tree is at (0, 0).Input format :The first line contains the number of test cases.For each test case: You are given a pointer to the root of the binary tree.Output format :Print the nodes in order obtained via vertical traversal of the tree. Refer the same Input/Output provided.Sample test cases :Input 1 :11 2 3Output 1 :2 1 3 Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.
Question
VERTICAL ORDER TRAVERSALYou are given root of a binary tree, your task is to print the nodes in order obtained via vertical traversal of the tree.The vertical order traversal of a binary tree is a list of top-to-bottom orderings for each column index starting from the leftmost column and ending on the rightmost column. There may be multiple nodes in the same row and same column. In such a case, sort these nodes by their values.For each node at position (row, col), its left and right children will be at positions (row + 1, col - 1) and (row + 1, col + 1) respectively. The root of the tree is at (0, 0).Input format :The first line contains the number of test cases.For each test case: You are given a pointer to the root of the binary tree.Output format :Print the nodes in order obtained via vertical traversal of the tree. Refer the same Input/Output provided.Sample test cases :Input 1 :11 2 3Output 1 :2 1 3 Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.
Solution
The problem is asking for a vertical order traversal of a binary tree. Here's a step-by-step guide on how to solve this problem:
Step 1: Understand the problem The problem is asking to print the nodes of a binary tree in a vertical order. If there are multiple nodes in the same row and column, they should be sorted by their values.
Step 2: Create a data structure to hold the nodes We need a data structure to hold the nodes and their corresponding column indices. A hash map can be used for this purpose. The key of the hash map is the column index and the value is a list of nodes in that column.
Step 3: Traverse the tree We can use a pre-order
Similar Questions
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