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How to Solve Maximum Profit from Trading Stocks with Discounts Problem
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Hard#3562
LeetCode ProblemMaximum Profit from Trading Stocks with Discounts
You are given an integer n, representing the number of employees in a company. Each employee is assigned a unique ID from 1 to n, and employee 1 is the CEO. You are given two 1-based integer arrays, present and future, each of length n, where: The company's hierarchy is represented by a 2D integer array hierarchy, where hierarchy[i] = [ui, vi] means that employee ui is the direct boss of employee vi. Additionally, you have an integer budget representing the total funds available for investment. However, the company has a discount policy: if an employee's direct boss purchases their own stock, then the employee can buy their stock at half the original price (floor(present[v] / 2)). Return the maximum profit that can be achieved without exceeding the given budget.
ArrayDynamic ProgrammingTreeDepth-First Search
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Problem Breakdown
Understanding the Maximum Profit from Trading Stocks with Discounts Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given an integer n, representing the number of employees in a company. Each employee is assigned a unique ID from 1 to n, and employee 1 is the CEO. You are given two 1-based integer arrays, present and future, each of length n, where: The company's hierarchy is represented by a 2D integer array hierarchy, where hierarchy[i] = [ui, vi] means that employee ui is the direct boss of employee vi. Additionally, you have an integer budget representing the total funds available for investment. However, the company has a discount policy: if an employee's direct boss purchases their own stock, then the employee can buy their stock at half the original price (floor(present[v] / 2)). Return the maximum profit that can be achieved without exceeding the given budget.
HardProblem #3562
LeetCodeMaximum Profit from Trading Stocks with Discounts
Related Topics
ArrayDynamic ProgrammingTreeDepth-First Search
How Phantom Code AI Helps
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Examples
# Example 1
Input
n = 2, present = [1,2], future = [4,3], hierarchy = [[1,2]], budget = 3
Output
5
# Example 2
Input
n = 2, present = [3,4], future = [5,8], hierarchy = [[1,2]], budget = 4
Output
4
# Example 3
Input
n = 3, present = [4,6,8], future = [7,9,11], hierarchy = [[1,2],[1,3]], budget = 10
Output
10
# Example 4
Input
n = 3, present = [5,2,3], future = [8,5,6], hierarchy = [[1,2],[2,3]], budget = 7
Output
12
Constraints
1 <= n <= 160
present.length, future.length == n
1 <= present[i], future[i] <= 50
hierarchy.length == n - 1
hierarchy[i] == [ui, vi]
1 <= ui, vi <= n
ui != vi
1 <= budget <= 160
There are no duplicate edges.
Employee 1 is the direct or indirect boss of every employee.
The input graph hierarchy is guaranteed to have no cycles.
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Solve Maximum Profit from Trading Stocks with Discounts — You are given an integer n, representing the number of employees in a company. E...
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def solve(input):
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Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Maximum Profit from Trading Stocks with Discounts and using Phantom Code AI during coding interviews.
How does Phantom Code AI help me solve coding problems like Maximum Profit from Trading Stocks with Discounts during interviews?
Phantom Code AI generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
What if the interviewer asks follow-up questions or modifications to problems like Maximum Profit from Trading Stocks with Discounts?
Phantom Code AI adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code AI help me communicate my solution for problems like Maximum Profit from Trading Stocks with Discounts?
Yes. Phantom Code AI provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code AI assist with different programming languages for Maximum Profit from Trading Stocks with Discounts type problems?
Phantom Code AI supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code AI help me avoid during Maximum Profit from Trading Stocks with Discounts interviews?
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.
Is Phantom Code AI detectable when solving problems like Maximum Profit from Trading Stocks with Discounts during live interviews?
No. Phantom Code AI runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.
How does Phantom Code AI help when I'm struggling with Maximum Profit from Trading Stocks with Discounts 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.
Does Phantom Code AI work for the coding platforms used in Maximum Profit from Trading Stocks with Discounts interviews?
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