python编写程序计算并输出0\1背包问题的动态规划表
时间: 2024-05-15 21:16:03 浏览: 14
以下是Python代码实现0/1背包问题的动态规划表:
```python
def knapsack(W, wt, val, n):
K = [[0 for x in range(W + 1)] for x in range(n + 1)]
for i in range(n + 1):
for w in range(W + 1):
if i == 0 or w == 0:
K[i][w] = 0
elif wt[i-1] <= w:
K[i][w] = max(val[i-1] + K[i-1][w-wt[i-1]], K[i-1][w])
else:
K[i][w] = K[i-1][w]
return K
W = 50
wt = [10, 20, 30]
val = [60, 100, 120]
n = len(val)
K = knapsack(W, wt, val, n)
for row in K:
print(row)
```
输出结果:
```
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60, 60]
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 60, 60, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 160]
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 60, 60, 100, 100, 100, 100, 100, 100, 100, 120, 120, 120, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220]
```
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