day42 动态规划part4 代码随想录算法训练营 卡尔网46. 携带研究材料

题目:卡尔网-46. 携带研究材料

我的感悟:

  • 有1个测试用例没通过。
  • 还要多练习
  • =====我知道哪里错了======
  • 是>=号的问题

理解难点:

  • dp递推公式的由来,
  • 初始化的参数。

听课笔记:

代码示例:

def bag_problem(weight, value, bagweight):
    #           [1,3,4] [15,20,30] 4
    if bagweight == 1:
        index = weight.index(1)
        return value[index]
    # 二维数组
    j_hang = bagweight + 1  # 5
    i_lie = len(weight)  # 3列
    dp = [[0] * (j_hang) for _ in range(i_lie)]
    # 初始化
    for j in range(weight[0], j_hang):
        dp[0][j] = value[0]
    # 遍历物品和容量
    for i in range(1, i_lie):  # 外层  # 第0行已经初始化了
        for j in range(j_hang):  # 内层

            # 拿
            if j - weight[i] > 0:
                dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - weight[i]] + value[i])
            # 不拿
            else:
                dp[i][j] = dp[i - 1][j]
    return dp[i_lie - 1][j_hang - 1]


m, n = map(int, input().split())
weight = list(map(int, input().split()))
value = list(map(int, input().split()))
res = bag_problem(weight, value, n)
print(res)

错误的截图:

修改后的截图:

看评论区可以通过的写法:

def fun():
    n, weight, vals = [int(x) for x in input().split()], [int(x) for x in input().split()], [int(x) for x in input().split()]
    nums, bag = n[0], n[1]
    dp = [[0] * (bag+1) for _ in range(nums)]
    for i in range(nums):
        dp[i][0] = 0
    # for j in range(bag+1):
    #     if weight[0] > j:
    #         dp[0][j] = 0
    #     else:
    #         dp[0][j] = vals[0]
    # 初始化
    for j in range(weight[0], bag+1):
        dp[0][j] = vals[0]
        
    for i in range(1, nums):
        for j in range(1, bag+1):
            dp[i][j] = dp[i-1][j]
            if j >= weight[i]:
                dp[i][j] = max(dp[i][j], dp[i-1][j-weight[i]] + vals[i])
    return dp[nums-1][bag]
if __name__ == '__main__':
    print(fun())

资料:

 01背包问题 二维 

https://programmercarl.com/%E8%83%8C%E5%8C%85%E7%90%86%E8%AE%BA%E5%9F%BA%E7%A1%8001%E8%83%8C%E5%8C%85-1.html

视频讲解:https://www.bilibili.com/video/BV1cg411g7Y6

posted @ 2024-02-26 16:56  o蹲蹲o  阅读(33)  评论(0编辑  收藏  举报