hdu 1171 Big Event in HDU

Big Event in HDU
Time Limit: 10000/5000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 19406 Accepted Submission(s): 6787


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

 

//109MS    1248K    1066 B    C++
//多重背包模板题..不懂就去看背包九讲吧 
#include<stdio.h>
#include<string.h>
int dp[250005];
int c[55],m[55],v;
int Max(int a,int b)
{
    return a>b?a:b;
}
void _01pack(int cost,int weight)
{
    for(int i=v;i>=weight;i--)
        dp[i]=Max(dp[i],dp[i-weight]+cost);
}
void _compack(int cost,int weight)
{
    for(int i=weight;i<=v;i++)
       dp[i]=Max(dp[i],dp[i-weight]+cost);
}
void _mulpack(int cost,int weight,int count)
{
    if(cost*count>=v){
        _compack(cost,weight);
        return;
    }
    int k=1;
    while(k<count){
        _01pack(k*cost,k*weight);
        count-=k;
        k*=2;
    }
    _01pack(count*cost,count*weight);
}
int main(void)
{
    int n;
    while(scanf("%d",&n)!=EOF)
    {
        if(n<0) break;
        v=0;
        memset(dp,0,sizeof(dp));
        for(int i=0;i<n;i++){
            scanf("%d%d",&c[i],&m[i]);
            v+=c[i]*m[i];
        }
        int v0=v;
        v/=2;
        for(int i=0;i<n;i++)
            _mulpack(c[i],c[i],m[i]);
        printf("%d %d\n",v0-dp[v],dp[v]); 
    }
    return 0;
}