动态规划算法求解0/1背包问题代码(关键行注释)python
时间: 2023-11-11 19:02:02 浏览: 108
好的,我可以提供一个简单的0/1背包问题的动态规划算法代码示例,关键行做了注释。注意,这里给出的是一维数组的实现方法:
```
def knapsack01_dp(capacity, weight, value):
"""
Uses dynamic programming to solve the 0/1 knapsack problem.
Args:
capacity (int): maximum capacity of the knapsack
weight (list[int]): list of weights of the items
value (list[int]): list of values of the items
Returns:
int: maximum value that can be achieved with the given capacity and items
"""
n = len(weight)
dp = [0] * (capacity + 1)
for i in range(n):
for j in range(capacity, 0, -1):
if j >= weight[i]:
dp[j] = max(dp[j], dp[j - weight[i]] + value[i]) # 关键行:动态更新dp数组
return dp[capacity]
```
希望这个代码能够帮到您!如果您有更多问题,请继续提出。
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