蓝桥杯 求最大值

时间:2022-09-09 21:29:53
!!!!一定要注意排除掉a[i],b[i]全为负的情况
#include <iostream>
using namespace std; 

#define INF 100005 

#define NUM 101
#define MAX 200000 
#define PLUS 100000

int a[NUM]; 
int b[NUM]; 
int dp[NUM][MAX]; 

int main()
{
	int n; cin>>n; 
	int suma=0,s=0,sumamin=0; 
	int cur=0;   
	for (int i=0;i<n;i++){ 
		for (int j=0;j<MAX;j++){ 
			dp[i][j]=-INF; 
		}
	} 
	for (int i=0;i<n;i++){   
		cin>>a[cur]>>b[cur];  
		if (a[cur]>0||b[cur]>0) 
		{
			dp[cur][a[cur]+PLUS]=b[cur]; 
			if (a[cur]>0){
				suma+=a[cur]; 
			}else{
				sumamin+=a[cur]; 
			}
			cur++; 
		}
	}
	n=cur; 
	suma+=PLUS;  
	sumamin+=PLUS;   

	if (a[0]>=0&&b[0]>=0){
		s=max(s,a[0]+b[0]); 
	}
	 
	for (int i=1;i<n;i++) 
	{
		for (int j=0;j<i;j++)
		{ 
			for (int k=sumamin;k<=suma;k++)
			{ 
				if (dp[j][k]!=-INF) 
				{
					if (a[i]+k<0)continue;      
					dp[i][k+a[i]]=max(dp[i][k+a[i]],dp[j][k]+b[i]);  
					if (a[i]+k>=PLUS&&dp[i][k+a[i]]>=0)
					{
						s=max(s,k+a[i]-PLUS+dp[i][k+a[i]]); 
					}
				}
			}
		}
	}

	cout<<s<<endl; 
	return 0; 
}