以下代码实现了0-1背包问题的一维动态规划解法,内层循环采用经典的逆序遍历方式。若将内层循环改为正序遍历(即 for j in range(w[i], W + 1):),仍能得到正确答案。( )
def knapsack_01():
W = 5
w = [2, 3, 4]
v = [10, 1, 1]
n = 3
dp = [0] * (W + 1)
for i in range(n):
for j in range(W, w[i] - 1, -1):
dp[j] = max(dp[j], dp[j - w[i]] + v[i])
print(dp[W])
knapsack_01()