HDU 1171 Big Event in HDU (母函数 | 背包 )

Big Event in HDU

Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 16262    Accepted Submission(s): 5741

Problem Description

Nowadays, we all know that Computer College is the biggest department in HDU. But, maybe you don't know that Computer College had ever been split into Computer College and Software College in 2002. The splitting is absolutely a big event in HDU! At the same time, it is a trouble thing too. All facilities must go halves. First, all facilities are assessed, and two facilities are thought to be same if they have the same value. It is assumed that there is N (0<N<1000) kinds of facilities (different value, different kinds).

 

Input

Input contains multiple test cases. Each test case starts with a number N (0 < N <= 50 -- the total number of different facilities). The next N lines contain an integer V (0<V<=50 --value of facility) and an integer M (0<M<=100 --corresponding number of the facilities) each. You can assume that all V are different. A test case starting with a negative integer terminates input and this test case is not to be processed.

 

Output

For each case, print one line containing two integers A and B which denote the value of Computer College and Software College will get respectively. A and B should be as equal as possible. At the same time, you should guarantee that A is not less than B.

 

Sample Input

2

10 1

20 1

3

10 1

20 2

30 1

-1

 

Sample Output

20 10

40 40

 

Author

lcy

 

 

 1,母函数：

 

#include<iostream>
#include<cstdio>
#include<cstring>

using namespace std;

const int N=250010;

int n,val[60],amount[60];
int c1[N],c2[N];

int main(){

    //freopen("input.txt","r",stdin);

    while(~scanf("%d",&n) && n>0){      //天杀的n>0,我写成 n!=-1 WA了N久
        int tot=0;
        for(int i=0;i<N;i++){
            c1[i]=0;
            c2[i]=0;
        }
        for(int i=1;i<=n;i++){
            scanf("%d%d",&val[i],&amount[i]);
            tot+=val[i]*amount[i];
        }
        c1[0]=1;
        int maxx=0;
        for(int i=1;i<=n;i++){
            maxx+=val[i]*amount[i];
            for(int j=0;j<=maxx;j++)
                for(int k=0;k<=amount[i] && j+k*val[i]<=maxx;k++)
                    c2[j+k*val[i]]+=c1[j];
            for(int j=0;j<=maxx;j++){
                c1[j]=c2[j];
                c2[j]=0;
            }
        }
        for(int i=tot/2;i>=0;i--)
            if(c1[i]!=0){
                printf("%d %d\n",tot-i,i);
                break;
            }
    }
    return 0;
}

2,背包：

#include<iostream>
#include<cstdio>
#include<cstring>

using namespace std;

const int N=250010;

int n,val[60],amount[60];
int dp[N];

int main(){

    //freopen("input.txt","r",stdin);

    while(~scanf("%d",&n) && n>0){      //天杀的n>0,我写成 n!=-1 WA了N久
        int tot=0;
        for(int i=0;i<n;i++){
            scanf("%d%d",&val[i],&amount[i]);
            tot+=val[i]*amount[i];
        }
        memset(dp,0,sizeof(dp));
        dp[0]=1;
        for(int i=0;i<n;i++)
            for(int j=0;j<amount[i];j++)
                for(int k=tot/2;k>=val[i];k--)
                    dp[k]+=dp[k-val[i]];
        int i;
        for(i=tot/2;i>=0;i--)
            if(dp[i]!=0){
                printf("%d %d\n",tot-i,i);
                break;
            }
        if(i==-1){  //如果到最后还不能分，则输出以下结果
            printf("%d %d\n",tot,0);
        }
    }
    return 0;
}

#include<iostream>
#include<cstdio>
#include<cstring>

using namespace std;

const int N=256010;

int n,val[60],amount[60];
int dp[N];

int main(){

    //freopen("input.txt","r",stdin);

    while(~scanf("%d",&n) && n>0){
        int tot=0;
        for(int i=0;i<n;i++){
            scanf("%d%d",&val[i],&amount[i]);
            tot+=val[i]*amount[i];
        }
        memset(dp,0,sizeof(dp));
        for(int i=0;i<n;i++)
            for(int j=0;j<amount[i];j++)
                for(int k=tot/2;k>=val[i];k--)
                    dp[k]=max(dp[k],dp[k-val[i]]+val[i]);
        printf("%d %d\n",tot-dp[tot/2],dp[tot/2]);
    }
    return 0;
}