How to Solve Maximum Profit from Trading Stocks with Discounts Problem
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Maximum 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, p...
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Understanding the Maximum Profit from Trading Stocks with Discounts Problem
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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: present[i] represents the current price at which the ith employee can buy a stock today. future[i] represents the expected price at which the ith employee can sell the stock tomorrow. 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. Note: You may buy each stock at most once. You cannot use any profit earned from future stock prices to fund additional investments and must buy only from budget.
Maximum Profit from Trading Stocks with Discounts
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Examples
n = 2, present = [1,2], future = [4,3], hierarchy = [[1,2]], budget = 35Employee 1 buys the stock at price 1 and earns a profit of 4 - 1 = 3. Since Employee 1 is the direct boss of Employee 2, Employee 2 gets a discounted price of floor(2 / 2) = 1. Employee 2 buys the stock at price 1 and earns a profit of 3 - 1 = 2. The total buying cost is 1 + 1 = 2 <= budget. Thus, the maximum total profit achieved is 3 + 2 = 5.
n = 2, present = [3,4], future = [5,8], hierarchy = [[1,2]], budget = 44Employee 2 buys the stock at price 4 and earns a profit of 8 - 4 = 4. Since both employees cannot buy together, the maximum profit is 4.
n = 3, present = [4,6,8], future = [7,9,11], hierarchy = [[1,2],[1,3]], budget = 1010Employee 1 buys the stock at price 4 and ear
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