| Time Limit: 1000MS | Memory Limit: 65536K | |
| Total Submissions: 12420 | Accepted: 4964 |
Description
fun..."
- Cows with Guns by Dana Lyons
The cows want to prove to the public that they are both smart and fun. In order to do this, Bessie has organized an exhibition that will be put on by the cows. She has given each of the N (1 <= N <= 100) cows a thorough interview and determined two values for each cow: the smartness Si (-1000 <= Si <= 1000) of the cow and the funness Fi (-1000 <= Fi <= 1000) of the cow.
Bessie must choose which cows she wants to bring to her exhibition. She believes that the total smartness TS of the group is the sum of the Si's and, likewise, the total funness TF of the group is the sum of the Fi's. Bessie wants to maximize the sum of TS and TF, but she also wants both of these values to be non-negative (since she must also show that the cows are well-rounded; a negative TS or TF would ruin this). Help Bessie maximize the sum of TS and TF without letting either of these values become negative.
Input
* Lines 2..N+1: Two space-separated integers Si and Fi, respectively the smartness and funness for each cow.
Output
Sample Input
5
-5 7
8 -6
6 -3
2 1
-8 -5
Sample Output
8
Hint
Bessie chooses cows 1, 3, and 4, giving values of TS = -5+6+2 = 3 and TF
= 7-3+1 = 5, so 3+5 = 8. Note that adding cow 2 would improve the value
of TS+TF to 10, but the new value of TF would be negative, so it is not
allowed.
Source
#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
using namespace std;
const int N=,V=N*,shift=1e5,INF=1e9;
int n,s[N],f[N],ps=,ng=,ans=;//ps+shift ng+shift
int d[V];
void dp(){
for(int i=ng+shift;i<=ps+shift;i++) d[i]=-INF;
d[shift]=;
for(int i=;i<=n;i++){//printf("i %d\n",i);
if(s[i]>=) for(int j=ps+shift;j>=s[i]+ng+shift;j--)
d[j]=max(d[j],d[j-s[i]]+f[i]);//,printf("j %d %d\n",j-shift,d[j]);
if(s[i]<) for(int j=ng+shift;j<=s[i]+ps+shift;j++)
d[j]=max(d[j],d[j-s[i]]+f[i]);//,printf("j %d %d\n",j-shift,d[j]);
}
}
int main(){
scanf("%d",&n);
for(int i=;i<=n;i++){scanf("%d%d",&s[i],&f[i]);if(s[i]>=) ps+=s[i];else ng+=s[i];}
dp();
for(int i=shift;i<=ps+shift;i++) if(d[i]>=) ans=max(ans,d[i]+i-shift);
cout<<ans; //cout<<"\n\n";
//cout<<ps<<" "<<ng;
}