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How to Solve Difference Between Maximum and Minimum Price Sum Problem
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Start Free for WindowsHard#2538
LeetCode ProblemDifference Between Maximum and Minimum Price Sum
There exists an undirected and initially unrooted tree with n nodes indexed from 0 to n - 1. You are given the integer n and a 2D integer array edges of length n - 1, where edges[i] = [ai, bi] indicates that there is an edge between nodes ai and bi in the tree. Each node has an associated price. You are given an integer array price, where price[i] is the price of the ith node. The price sum of a given path is the sum of the prices of all nodes lying on that path. The tree can be rooted at any node root of your choice. The incurred cost after choosing root is the difference between the maximum and minimum price sum amongst all paths starting at root. Return the maximum possible cost amongst all possible root choices.
ArrayDynamic ProgrammingTreeDepth-First Search
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Problem Breakdown
Understanding the Difference Between Maximum and Minimum Price Sum Problem
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Problem Statement
There exists an undirected and initially unrooted tree with n nodes indexed from 0 to n - 1. You are given the integer n and a 2D integer array edges of length n - 1, where edges[i] = [ai, bi] indicates that there is an edge between nodes ai and bi in the tree. Each node has an associated price. You are given an integer array price, where price[i] is the price of the ith node. The price sum of a given path is the sum of the prices of all nodes lying on that path. The tree can be rooted at any node root of your choice. The incurred cost after choosing root is the difference between the maximum and minimum price sum amongst all paths starting at root. Return the maximum possible cost amongst all possible root choices.
HardProblem #2538
LeetCodeDifference Between Maximum and Minimum Price Sum
Related Topics
ArrayDynamic ProgrammingTreeDepth-First Search
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Examples
# Example 1
Input
n = 6, edges = [[0,1],[1,2],[1,3],[3,4],[3,5]], price = [9,8,7,6,10,5]
Output
24
# Example 2
Input
n = 3, edges = [[0,1],[1,2]], price = [1,1,1]
Output
2
Constraints
1 <= n <= 105
edges.length == n - 1
0 <= ai, bi <= n - 1
edges represents a valid tree.
price.length == n
1 <= price[i] <= 105
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Solve Difference Between Maximum and Minimum Price Sum — There exists an undirected and initially unrooted tree with n nodes indexed from...
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