uva 10130 - SuperSale(01背包简单变换)

本文介绍了一种使用滚动数组处理的超级市场购物优化算法,旨在帮助家庭以最低成本购买最多商品。

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1、http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=1071


2、用滚动数组处理

题目:

SuperSale

There is a SuperSale in a SuperHiperMarket. Every person can take only one object of each kind, i.e. one TV, one carrot, but for extra low price. We are going with a whole family to that SuperHiperMarket. Every person can take as many objects, as he/she can carry out from the SuperSale. We have given list of objects with prices and their weight. We also know, what is the maximum weight that every person can stand. What is the maximal value of objects we can buy at SuperSale?

Input Specification

The input consists of T test cases. The number of them (1<=T<=1000) is given on the first line of the input file.

Each test case begins with a line containing a single integer number that indicates the number of objects (1 <= N <= 1000). Then follows Nlines, each containing two integers: P and W. The first integer (1<=P<=100) corresponds to the price of object. The second  integer (1<=W<=30) corresponds to the weight of object. Next line contains one integer (1<=G<=100)  it’s the number of people in our group. Next G lines contains maximal weight (1<=MW<=30) that can stand this i-th person from our family (1<=i<=G).

Output Specification

For every test case your program has to determine one integer. Print out the maximal value of goods which we can buy with that family.

Sample Input

2

3

72 17

44 23

31 24

1

26

6

64 26

85 22

52 4

99 18

39 13

54 9

4

23

20

20

26

 

Output for the Sample Input

72

514

 

3、ac代码:

#include<stdio.h>
#define N 1005
#include<algorithm>
using namespace std;
#include<string.h> v
struct node
{
    int p;
    int w;
} a[N];
int b[N];
int dp[N];
int main()
{
    int t,n,m,sum=0;
    scanf("%d",&t);
    while(t--)
    {
        //memset(dp,0,sizeof(dp));
        scanf("%d",&n);
        for(int i=1; i<=n; i++)
            scanf("%d%d",&a[i].p,&a[i].w);
        scanf("%d",&m);
        int sum=0;
        for(int i=1; i<=m; i++)
        {
            scanf("%d",&b[i]);
        }
        for(int k=1; k<=m; k++)
        {memset(dp,0,sizeof(dp));
            for(int i=1; i<=n; i++)
            {
                for(int j=b[k]; j>=0; j--)
                {
                    if(j>=a[i].w)
                        dp[j]=max(dp[j],dp[j-a[i].w]+a[i].p);
                }
            }
            sum+=dp[b[k]];
        }

        printf("%d\n",sum);
    }
    return 0;
}
/*
2
3
72 17
44 23
31 24
1
26
6
64 26
85 22
52 4
99 18
39 13
54 9
4
23
20
20
26
*/


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