Knapsack Problem Statement
There is a potter with a limited amount of pottery clay (denoted as 'K' units) who can make 'N' different items. Each item requires a specific amount of clay and yields a certain profit. The goal is to maximize the total profit by choosing which items to make.
Input:
The first input line contains an integer ‘T’ representing the number of test cases.
For each test case:
- The first line contains two space-separated integers, ‘N’ (number of items) and ‘K’ (units of clay available).
- The second line contains ‘N’ integers, each representing the clay requirement for the corresponding item.
- The third line contains ‘N’ integers, each representing the profit obtainable from selling the corresponding item.
Output:
For each test case, output a single integer on a new line representing the maximum profit the potter can achieve.
Example:
Input:
2
3 50
10 20 30
60 100 120
2 10
5 3
20 30
Output:
220
50
Constraints:
- 1 <= T <= 100
- 1 <= N <= 100
- 1 <= K <= 100
- 1 <= profit[i] <= 10000
- 1 <= Clay[i] <= 2000
- Time Limit: 1 second
Note:
Implement the function; printing has already been handled.
Mantu Gupta
2y
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