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 程式師世界 >> 編程語言 >> C語言 >> C++ >> C++入門知識 >> Big Event in HDU(杭電1171)(多重背包)和(母函數)兩種解法

Big Event in HDU(杭電1171)(多重背包)和(母函數)兩種解法

編輯:C++入門知識

Big Event in HDU(杭電1171)(多重背包)和(母函數)兩種解法


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
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 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
#include
#include
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;
}
//母函數方法:
/*注意將數組a,s清零,WA了好幾次,測試數據都過。。無語。 
*/
#include
#include
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])//注意變化。 
		{
			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;
} 


						

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