def knapsack_fruits(weights, values, capacity):
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):
if weights[i - 1] <= j:
dp[i][j] = max(dp[i-1][j], dp[i-1][j-weights[i-1]] + values[i-1])
else:
dp[i][j] = dp[i-1][j]
print_knapsack_strategy(dp, weights, values, capacity)
return dp[n][capacity]
def print_knapsack_strategy(dp, weights, values, capacity):
i, j = len(dp) - 1, len(dp[0]) - 1
selected_items = []
while i > 0 and j > 0:
if dp[i][j] != dp[i-1][j]:
selected_items.append(i - 1)
j -= weights[i-1]
i -= 1
print("装入水果的策略:")
for idx in reversed(selected_items):
print(f"{idx + 1}. {weights[idx]}kg的{values[idx]}元水果")
def main():
weights = [15, 18, 10, 9]
values = [300, 180, 150, 270]
capacity = 20
max_value = knapsack_fruits(weights, values, capacity)
print(f"背包中装入水果的最大总价值为: {max_value}元")
if __name__ == "__main__":
main()