0-1 Knapsack Problem Statement
A thief plans to rob a store and can carry a maximum weight 'W' in his knapsack. There are 'N' items, with the i-th item weighing wi
and having a value vi
. Determine the maximum value the thief can obtain while respecting the knapsack's weight limit.
Input:
The input begins with an integer 'T', representing the number of test cases.
For each test case, the format is as follows:
An integer 'N', the number of items.
N space-separated integers indicating the weights of the items.
N space-separated integers indicating the values of the items.
An integer 'W', the maximum weight the knapsack can carry.
Output:
For each test case, output a single line containing the maximum value achievable with the given constraints.
Example:
Input:
2
3
1 2 3
10 15 40
6
2
1 2
10 20
2
Output:
55
20
The first test case shows the optimal value from weights [1, 2, 3] with values [10, 15, 40] when weight is restricted to 6, the maximum value is 55. The second case shows that only one item with value 20 can be taken.
Constraints:
- 1 ≤ T ≤ 10
- 1 ≤ N ≤ 102
- 1 ≤ wi ≤ 50
- 1 ≤ vi ≤ 102
- 1 ≤ W ≤ 103
Time Limit: 1 second
Note:
You are not required to print anything; the function will return the answer.
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