How to Solve Find Minimum Diameter After Merging Two Trees Leetcode Problem - Interview Coder Guide
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How to Solve Find Minimum Diameter After Merging Two Trees Problem

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Hard#3439
LeetCode Problem

Find Minimum Diameter After Merging Two Trees

There exist two undirected trees with n and m nodes, numbered from 0 to n - 1 and from 0 to m - 1, respectively. You are given two 2D integer arrays edges1 and edges2 of lengths n - 1 and m - 1, respe...

TreeDepth-First SearchBreadth-First Search+1 more

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Problem Breakdown

Understanding the Find Minimum Diameter After Merging Two Trees Problem

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Problem Statement

There exist two undirected trees with n and m nodes, numbered from 0 to n - 1 and from 0 to m - 1, respectively. You are given two 2D integer arrays edges1 and edges2 of lengths n - 1 and m - 1, respectively, where edges1[i] = [ai, bi] indicates that there is an edge between nodes ai and bi in the first tree and edges2[i] = [ui, vi] indicates that there is an edge between nodes ui and vi in the second tree. You must connect one node from the first tree with another node from the second tree with an edge. Return the minimum possible diameter of the resulting tree. The diameter of a tree is the length of the longest path between any two nodes in the tree.

HardProblem #3439
LeetCode

Find Minimum Diameter After Merging Two Trees

Related Topics
TreeDepth-First SearchBreadth-First SearchGraph
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Examples

Example 1
INPUT
edges1 = [[0,1],[0,2],[0,3]], edges2 = [[0,1]]
OUTPUT
3
EXPLANATION

We can obtain a tree of diameter 3 by connecting node 0 from the first tree with any node from the second tree.

Example 2
INPUT
edges1 = [[0,1],[0,2],[0,3],[2,4],[2,5],[3,6],[2,7]], edges2 = [[0,1],[0,2],[0,3],[2,4],[2,5],[3,6],[2,7]]
OUTPUT
5
EXPLANATION

We can obtain a tree of diameter 5 by connecting node 0 from the first tree with node 0 from the second tree.

Constraints

1 <= n, m <= 105
edges1.length == n - 1
edges2.length == m - 1
edges1[i].length == edges2[i].length == 2
edges1[i] = [ai, bi]
0 <= ai, bi < n
edges2[i] = [ui, vi]
0 <= ui, vi < m
The input is generated such that edges1 and edges2 represent valid trees.

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