#Partially ordered knapsack


    # Sort the items based on their partial order

    # Initialize the dynamic programming table

    # Fill the table

    # Determine the selected items


# Example usage


if __name__ == '__main__':
    def partially_ordered_knapsack(items, capacity):
        n = len(items)
        items.sort(key=lambda x: x[2])
        dp = [[0] * (capacity + 1) for _ in range(n + 1)]
        for i in range(1, n + 1):
            weight, value, order = items[i - 1]
            for w in range(1, capacity + 1):
                if weight > w:
                    dp[i][w] = dp[i - 1][w]
                else:
                    dp[i][w] = max(dp[i - 1][w], dp[order][w - weight] + value)
        selected_items = []
        w = capacity
        for i in range(n, 0, -1):
            if dp[i][w] != dp[i - 1][w]:
                weight, value, _ = items[i - 1]
                selected_items.append((weight, value))
                w -= weight
        return dp[n][capacity], selected_items[::-1]
    items = [(2, 10, 0), (3, 15, 1), (5, 20, 2), (7, 25, 0)]  # (weight, value, partial order) triples
    capacity = 10
    max_value, selected_items = partially_ordered_knapsack(items, capacity)
    print("Maximum value:", max_value)
    print("Selected items:")
    for item in selected_items:
        print("Weight:", item[0], "Value:", item[1])
