def knapsack_problem(capacity, weights, values, items):
n = len(weights)
dp = [[0] * (capacity + 1) for _ in range(n + 1)]
for i in range(1, n + 1):
for j in range(1, capacity + 1):
weight, value = weights[i - 1], values[i - 1]
if j >= weight:
dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - weight] + value)
else:
dp[i][j] = dp[i - 1][j]
selected_items = []
i, j = n, capacity
while i > 0 and j > 0:
if dp[i][j] != dp[i - 1][j]:
selected_items.append(items[i - 1])
j -= weights[i - 1]
i -= 1
selected_items.reverse()
return dp[n][capacity], selected_items
def main():
capacity = 20
items = ["苹果", "香蕉", "橘子", "猕猴桃"]
weights = [15, 18, 10, 9]
values = [300, 180, 150, 270]
total_value, selected_items = knapsack_problem(capacity, weights, values, items)
print(f"在背包承重为{capacity}kg的情况下,可以获得的最大总价值为: {total_value}")
print(f"选择的水果为: {', '.join(selected_items)}")
if __name__ == "__main__":
main()