How to Solve Vertical Order Traversal of a Binary Tree Leetcode Problem - Interview Coder Guide
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How to Solve Vertical Order Traversal of a Binary Tree Problem

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Hard#1029
LeetCode Problem

Vertical Order Traversal of a Binary Tree

Given the root of a binary tree, calculate the vertical order traversal of the binary tree. For each node at position (row, col), its left and right children will be at positions (row + 1, col - 1) an...

Hash TableTreeDepth-First Search+3 more

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Problem Breakdown

Understanding the Vertical Order Traversal of a Binary Tree Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

Given the root of a binary tree, calculate the vertical order traversal of the binary tree. 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). 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. Return the vertical order traversal of the binary tree.

HardProblem #1029
LeetCode

Vertical Order Traversal of a Binary Tree

Related Topics
Hash TableTreeDepth-First SearchBreadth-First SearchSortingBinary Tree
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Examples

Example 1
INPUT
root = [3,9,20,null,null,15,7]
OUTPUT
[[9],[3,15],[20],[7]]
EXPLANATION

Column -1: Only node 9 is in this column. Column 0: Nodes 3 and 15 are in this column in that order from top to bottom. Column 1: Only node 20 is in this column. Column 2: Only node 7 is in this column.

Example 2
INPUT
root = [1,2,3,4,5,6,7]
OUTPUT
[[4],[2],[1,5,6],[3],[7]]
EXPLANATION

Column -2: Only node 4 is in this column. Column -1: Only node 2 is in this column. Column 0: Nodes 1, 5, and 6 are in this column. 1 is at the top, so it comes first. 5 and 6 are at the same position (2, 0), so we order them by their value, 5 before 6. Column 1: Only node 3 is in this column. Column 2: Only node 7 is in this column.

Example 3
INPUT
root = [1,2,3,4,6,5,7]
OUTPUT
[[4],[2],[1,5,6],[3],[7]]
EXPLANATION

This case is the exact same as example 2, but with nodes 5 and 6 swapped. Note that the solution remains the same since 5 and 6 are in the same location and should be ordered by their values.

Constraints

The number of nodes in the tree is in the range [1, 1000].
0 <= Node.val <= 1000

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