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How to Solve Minimize the Total Price of the Trips Problem
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LeetCode ProblemMinimize the Total Price of the Trips
There exists an undirected and 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. Additionally, you are given a 2D integer array trips, where trips[i] = [starti, endi] indicates that you start the ith trip from the node starti and travel to the node endi by any path you like. Before performing your first trip, you can choose some non-adjacent nodes and halve the prices. Return the minimum total price sum to perform all the given trips.
ArrayDynamic ProgrammingTreeDepth-First SearchGraph
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Problem Breakdown
Understanding the Minimize the Total Price of the Trips Problem
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Problem Statement
There exists an undirected and 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. Additionally, you are given a 2D integer array trips, where trips[i] = [starti, endi] indicates that you start the ith trip from the node starti and travel to the node endi by any path you like. Before performing your first trip, you can choose some non-adjacent nodes and halve the prices. Return the minimum total price sum to perform all the given trips.
HardProblem #2646
LeetCodeMinimize the Total Price of the Trips
Related Topics
ArrayDynamic ProgrammingTreeDepth-First SearchGraph
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Examples
# Example 1
Input
n = 4, edges = [[0,1],[1,2],[1,3]], price = [2,2,10,6], trips = [[0,3],[2,1],[2,3]]
Output
23
# Example 2
Input
n = 2, edges = [[0,1]], price = [2,2], trips = [[0,0]]
Output
1
Constraints
1 <= n <= 50
edges.length == n - 1
0 <= ai, bi <= n - 1
edges represents a valid tree.
price.length == n
price[i] is an even integer.
1 <= price[i] <= 1000
1 <= trips.length <= 100
0 <= starti, endi <= n - 1
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Solve Minimize the Total Price of the Trips — There exists an undirected and unrooted tree with n nodes indexed from 0 to n - ...
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Frequently Asked Questions
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How does Phantom Code AI help me solve coding problems like Minimize the Total Price of the Trips during interviews?
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Phantom Code AI catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
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How does Phantom Code AI help when I'm struggling with Minimize the Total Price of the Trips style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
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