python用贪心算法实现背包问题
时间: 2023-09-13 18:13:47 浏览: 106
好的,关于背包问题,您可以参考以下的Python代码实现贪心算法:
```
def knapsack_greedy(values, weights, capacity):
n = len(values)
index = list(range(n))
ratio = [v/w for v, w in zip(values, weights)]
index.sort(key=lambda i: ratio[i], reverse=True)
max_value = 0
fractions = [0]*n
for i in index:
if weights[i] <= capacity:
fractions[i] = 1
max_value += values[i]
capacity -= weights[i]
else:
fractions[i] = capacity/weights[i]
max_value += values[i]*capacity/weights[i]
break
return max_value, fractions
values = [1500, 3000, 2000]
weights = [1000, 3000, 2000]
capacity = 5000
print(knapsack_greedy(values, weights, capacity))
```
这段代码实现的是背包问题的贪心算法,其中values和weights分别是物品的价值和重量,capacity是背包的容量。函数会返回背包能够装下的最大价值和每个物品装入的比例(因为贪心算法不一定能够达到最优解,因此可能会有比例不为0或1的情况)。
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