Big Event in HDU（杭电1171）（多重背包)和（母函数）两种解法

Big Event in HDU

Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)

Total Submission(s): 24708    Accepted Submission(s): 8700

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
//背包方法：

#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
int dp[100000],sum,ans;
struct st
{
	int v;
	int m;
}data[100000];
void full(int x)
{
	for(int i=data[x].v;i<=ans;i++)
	dp[i]=max(dp[i],dp[i-data[x].v]+data[x].v);
}
void one(int x)
{
	for(int j=1;j<=data[x].m;j++)
	     for(int i=ans;i>=data[x].v;i--)
	         dp[i]=max(dp[i],dp[i-data[x].v]+data[x].v);
}
int main()
{
	int i,j,n;
	while(scanf("%d",&n)&&(n>0))
	{
		memset(dp,0,sizeof(dp));
		sum=0;
		for(i=1;i<=n;i++)
		{
			scanf("%d%d",&data[i].v,&data[i].m);
			sum+=data[i].v*data[i].m;
		}
		ans=sum/2;
		for(i=1;i<=n;i++)
		{
			if(data[i].v*data[i].m>=ans)
			full(i);
			else
			one(i);
		}
		printf("%d %d\n",sum-dp[ans],dp[ans]);
	}
	return 0;
}
//母函数方法：
/*注意将数组a,s清零，WA了好几次，測试数据都过。。无语。
*/
#include<stdio.h>
#include<string.h>
int a[250010],s[250010];
int v[55],m[55];
int main()
{
	int n,i,j,k,sum,ans;
	while(scanf("%d",&n)&&n>0)
	{
		sum=0;
		memset(s,0,sizeof(s));
		memset(a,0,sizeof(a));
		for(i=1;i<=n;i++)
		{
			scanf("%d%d",&v[i],&m[i]);
			sum+=v[i]*m[i];
		}
		for(i=0;i<=v[1]*m[1];i+=v[1])//注意变化。
		{
			s[i]=1;
		}
		for(i=2;i<=n;i++)
		{
			for(j=0;j<=sum;j++)
			{
		      	for(k=0;k+j<=sum&&k<=v[i]*m[i];k+=v[i])
				{
				   a[k+j]+=s[j];
			    }
			}
			for(k=0;k<=sum;k++)
			{
				s[k]=a[k];
				a[k]=0;
			}
		}
		for(i=sum/2;i>=0;i--)
		{
			if(s[i])
			{
			    printf("%d %d\n",sum-i,i);
			    break;
			}
		}
	}
	return 0;
}