Package g2801_2900.s2861_maximum_number_of_alloys

Class Solution

java.lang.Object

g2801_2900.s2861_maximum_number_of_alloys.Solution

public class Solution
extends java.lang.Object

2861 - Maximum Number of Alloys.

Medium

You are the owner of a company that creates alloys using various types of metals. There are n different types of metals available, and you have access to k machines that can be used to create alloys. Each machine requires a specific amount of each metal type to create an alloy.

For the ith machine to create an alloy, it needs composition[i][j] units of metal of type j. Initially, you have stock[i] units of metal type i, and purchasing one unit of metal type i costs cost[i] coins.

Given integers n, k, budget, a 1-indexed 2D array composition, and 1-indexed arrays stock and cost, your goal is to maximize the number of alloys the company can create while staying within the budget of budget coins.

All alloys must be created with the same machine.

Return the maximum number of alloys that the company can create.

Example 1:

Input: n = 3, k = 2, budget = 15, composition = [[1,1,1],[1,1,10]], stock = [0,0,0], cost = [1,2,3]

Output: 2

Explanation: It is optimal to use the 1^st machine to create alloys.

To create 2 alloys we need to buy the:

• 2 units of metal of the 1^st type.
• 2 units of metal of the 2^nd type.
• 2 units of metal of the 3^rd type.

In total, we need 2 * 1 + 2 * 2 + 2 * 3 = 12 coins, which is smaller than or equal to budget = 15. Notice that we have 0 units of metal of each type and we have to buy all the required units of metal. It can be proven that we can create at most 2 alloys.

Example 2:

Input: n = 3, k = 2, budget = 15, composition = [[1,1,1],[1,1,10]], stock = [0,0,100], cost = [1,2,3]

Output: 5

Explanation: It is optimal to use the 2^nd machine to create alloys. To create 5 alloys we need to buy:

• 5 units of metal of the 1^st type.
• 5 units of metal of the 2^nd type.
• 0 units of metal of the 3^rd type.

In total, we need 5 * 1 + 5 * 2 + 0 * 3 = 15 coins, which is smaller than or equal to budget = 15. It can be proven that we can create at most 5 alloys.

Example 3:

Input: n = 2, k = 3, budget = 10, composition = [[2,1],[1,2],[1,1]], stock = [1,1], cost = [5,5]

Output: 2

Explanation: It is optimal to use the 3^rd machine to create alloys. To create 2 alloys we need to buy the:

• 1 unit of metal of the 1^st type.
• 1 unit of metal of the 2^nd type.

In total, we need 1 * 5 + 1 * 5 = 10 coins, which is smaller than or equal to budget = 10. It can be proven that we can create at most 2 alloys.

Constraints:

• 1 <= n, k <= 100
• 0 <= budget <= 108
• composition.length == k
• composition[i].length == n
• 1 <= composition[i][j] <= 100
• stock.length == cost.length == n
• 0 <= stock[i] <= 108
• 1 <= cost[i] <= 100

Constructor Summary

Constructors

Constructor	Description
Solution()

Method Summary

Modifier and Type	Method	Description
int	maxNumberOfAlloys(int n, int k, int budget, java.util.List<java.util.List<java.lang.Integer>> composition, java.util.List<java.lang.Integer> stock, java.util.List<java.lang.Integer> cost)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

Solution

public Solution()

Method Details

maxNumberOfAlloys

public int maxNumberOfAlloys(int n,
 int k,
 int budget,
 java.util.List<java.util.List<java.lang.Integer>> composition,
 java.util.List<java.lang.Integer> stock,
 java.util.List<java.lang.Integer> cost)