Suppose you have a knapsack that can carry up to 17 pounds. You can only put certain items, and each item has a weight and a value. You want to put the items that will give you the highest possible value, but you can only carry up to 15 pounds. Here are the items you can put and their weights and values: I Weight value Value/Weight 1 2 10 5 2 4 30 7.5 3 6 50 8.33 4 9 70 7.78 5 10 80 8 Table 1: Caption Your task is to solve the Knapsack Problem using a greedy approach. Hints: - Sort the items by their value-to-weight ratio in descending order. Start with the item with the highest value-to-weight ratio and add it to the knapsack. - Continue adding items to the knapsack in descending order of their value-to-weight ratio until the knapsack is full or there are no more items left. - Your solution should output the total value of the items in the knapsack and the list of items that you have put. -This solution may not always provide the optimal solution to the Knapsack Problem. How- ever, it can provide a good approximation of the optimal solution in certain cases.
Control structures
Control structures are block of statements that analyze the value of variables and determine the flow of execution based on those values. When a program is running, the CPU executes the code line by line. After sometime, the program reaches the point where it has to make a decision on whether it has to go to another part of the code or repeat execution of certain part of the code. These results affect the flow of the program's code and these are called control structures.
Switch Statement
The switch statement is a key feature that is used by the programmers a lot in the world of programming and coding, as well as in information technology in general. The switch statement is a selection control mechanism that allows the variable value to change the order of the individual statements in the software execution via search.
Suppose you have a knapsack that can carry up to 17 pounds. You can only put certain items, and each item has a weight and a value. You want to put the items that will give you the highest possible value, but you can only carry up to 15 pounds. Here are the items you can put and their weights and values:
|
I |
Weight |
value |
Value/Weight |
|
1 |
2 |
10 |
5 |
|
2 |
4 |
30 |
7.5 |
|
3 |
6 |
50 |
8.33 |
|
4 |
9 |
70 |
7.78 |
|
5 |
10 |
80 |
8 |
|
|
|
|
Table 1: Caption
Your task is to solve the Knapsack Problem using a greedy approach.
Hints:
- Sort the items by their value-to-weight ratio in descending order. Start with the item with
the highest value-to-weight ratio and add it to the knapsack.
- Continue adding items to the knapsack in descending order of their value-to-weight ratio until the knapsack is full or there are no more items left.
- Your solution should output the total value of the items in the knapsack and the list of items that you have put.
-This solution may not always provide the optimal solution to the Knapsack Problem. How- ever, it can provide a good approximation of the optimal solution in certain cases.
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