uva10130解题报告

Root :: Contest Volumes :: Volume CI SubmitDownload as PDFProblem Stats

10130 - SuperSale

Time limit: 3.000 seconds
Root :: Contest Volumes :: Volume CI SubmitDownload as PDFProblem Stats
 

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 N that indicates the number of objects (1 <= N <= 1000). Then followsN lines, 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

这题就是简单的0-1背包Every person can take only one object of each kind这句很关键(提醒就是0-1背包)。。

老是被0-1背包的模版束缚,不知道变通。不知道这个条件的作用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).不知道怎么处理它。

Print out the maximal value of goods which we can buy with that family.在看这句就差不多明白了。。有多个人我们要做的就是在背包九讲中0-1背包的基础上累加每一个人的max值就ok了。头脑不会转,没办法啊。。多思少巧。

#include<stdio.h>
#include<string.h>
#define maxn 1005
int f[10001],p[maxn],w[maxn];
int c,ans,T,N,G;
int max(int a,int b)
{
 return a>b?a:b;
}
int main()
{
 scanf("%d",&T);
 while(T--)
 {
  scanf("%d",&N);
  int i,j;
  for(i=1;i<=N;i++)
   scanf("%d %d",&p[i],&w[i]);
  scanf("%d",&G);
  ans=0;
  while(G--)
  {
   scanf("%d",&c);
   memset(f,0,sizeof(f));
   for(i=1;i<=N;i++)
   {
    for(j=c;j>=0;j--)
    {
     if(j>=w[i])
      f[j]=max(f[j],f[j-w[i]]+p[i]);
    
   }
   ans+=f[c];//累加;
  }
  printf("%d\n",ans);
 }
 return 0;
}

 

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