SWUST OJ 之 0195 Buyer

这篇博客介绍了如何使用动态规划解决一个物品采购问题,目标是在有限预算内最大化受欢迎程度。哆啦A梦需要在给定金额下,从多个物品中选择,每个物品有其特定的价格和受欢迎程度。通过动态规划算法,可以找到最优的购买方案以达到最高的受欢迎程度。博客提供了样例输入和输出,以及详细的解题思路和代码实现。

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Tags: 动态规划

哆啦A梦班级举办个party,当然吃的东西必不可少,哆啦A梦负责采购任务,他得到了一份清单,上面注明不同食品的受欢迎程度,哆啦A梦需要用一定的价钱尽可能达到的更大的受欢迎程度!例如,瓜子的受欢迎程度为20,瓜子的价钱是50元,那么如果哆啦A梦选择买瓜子,将花费50元,但受欢迎程度增加了20。为了避免食品单调性,每种食品只能买一份,不能重复购买。 现在哆啦A梦需要知道如何采购才能达到最大的受欢迎程度,你能帮助他吗?

输入

输入数据为多组,每组输入的第一行有两个正整数M和N(M<100&&N<1000),分别为哆啦A梦可以支配的钱数和清单上

的可选择的物品种类。 接下来的N行每行有两个正整数,分别为每种物品的价钱和它的受欢迎程度(编号为1到N)。

输出

如果存在物品购买,那么输出的第一行为能够达到的最大的受欢迎程度。第二行为需要购买的物品的编号(如果有多种可能,输出字典序靠前的那种),空格分隔每个数字;如没有物品可以购买,输出只有一行,为数字0。

样例输入

10 4
100 5
5 5
5 5
10 10

样例输出

10
2 3

分析:

 

题目给出要求我们有 M 元可支配,有 N 个物品可选择,设每个物品的 价值 和可获得的 满足感 保存在结构体数组 List[ n ] 中对应下标位置空间上,最后我们要尽可能的将钱花完且满足感最大。

 

现在我们考虑一般情况,对每个物品 i 我

### SWUST OJ Problem 32 Information and Solution Unfortunately, specific details about SWUST OJ problem number 32 are not directly provided in the available references. However, based on similar problems from this platform such as those mentioned in other citations, a general approach to solving typical programming challenges can be outlined. #### Understanding Common Elements of Programming Problems on SWUST OJ Platform Problems like SWUSTOJ276, SWUSTOJ77, SWUSTOJ78, SWUSTOJ1286, and SWUSTOJ1285 emphasize proper use of `if` and `else` statements along with maintaining good coding practices including appropriate formatting[^1]. For instance, when dealing with numerical outputs, `%g` is used for automatic selection between fixed-point notation (`%f`) or scientific notation (`%e`), depending on which provides more compact output without loss of precision. Given that detailed specifics regarding problem 32 aren't present here, one should look at common patterns found across different types of questions posed by platforms like these: - **Input Handling**: Typically involves reading inputs either single values or arrays/lists. - **Logic Implementation**: Applying algorithms ranging from simple arithmetic operations up through complex data structures manipulation. - **Output Formatting**: Ensuring results adhere strictly to specified formats using placeholders like `%d`, `%s`, etc., where applicable. Since no direct reference exists specifically addressing SWUST OJ problem 32 within given sources, consider exploring adjacent numbered problems around it for clues about its nature—whether mathematical computation, string processing, dynamic programming elements, et cetera—and adapt solutions accordingly while keeping best practice guidelines intact. ```c // Example C code snippet demonstrating basic structure often seen in contest-style programs #include <stdio.h> int main() { int n; scanf("%d", &n); // Read input value if (condition_based_on_problem_statement) { printf("Result under condition A\n"); } else { printf("Alternative result\n"); } return 0; } ``` --related questions-- 1. How does understanding how `%g` works help improve program efficiency? 2. What strategies could apply towards optimizing performance in competitive programming contests? 3. Can you provide examples illustrating effective usage of conditional operators (`if`, `else`) in algorithm design?
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