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Bounded Knapsack

Description

Given item weights, values, and available multiplicities, maximize total value without exceeding the knapsack capacity.

Input

The verification-case input consists of parallel weights, values, and counts arrays, item count n, capacity, and work buffers.

Output

The function produces the maximum achievable total value.

Constraints

  • $0 \le n,capacity \le 1000$; weights are positive, values and counts are nonnegative.

Source

Classical algorithmic problem reconstructed from the verified C artifact.