Red Huang

Red Huang

uva 11003

誰能告訴我 DP 到底是誰想出來的 真的有夠噁爛

dp(i, j) = min{dp(i-1, j), dp(i-1, j-1)+w[i]}

記得有條件

//  
//        GGGGGGGGGGGGG        CCCCCCCCCCCCC               AAA  
//     GGG::::::::::::G     CCC::::::::::::C              A:::A  
//   GG:::::::::::::::G   CC:::::::::::::::C             A:::::A  
//  G:::::GGGGGGGG::::G  C:::::CCCCCCCC::::C            A:::::::A  
// G:::::G       GGGGGG C:::::C       CCCCCC           A:::::::::A  
//G:::::G              C:::::C                        A:::::A:::::A  
//G:::::G              C:::::C                       A:::::A A:::::A  
//G:::::G    GGGGGGGGGGC:::::C                      A:::::A   A:::::A  
//G:::::G    G::::::::GC:::::C                     A:::::A     A:::::A  
//G:::::G    GGGGG::::GC:::::C                    A:::::AAAAAAAAA:::::A  
//G:::::G        G::::GC:::::C                   A:::::::::::::::::::::A  
// G:::::G       G::::G C:::::C       CCCCCC    A:::::AAAAAAAAAAAAA:::::A  
//  G:::::GGGGGGGG::::G  C:::::CCCCCCCC::::C   A:::::A             A:::::A  
//   GG:::::::::::::::G   CC:::::::::::::::C  A:::::A               A:::::A  
//     GGG::::::GGG:::G     CCC::::::::::::C A:::::A                 A:::::A  
//        GGGGGG   GGGG        CCCCCCCCCCCCCAAAAAAA                   AAAAAAA  
#include <iostream>  
#include <cstdio>  
#include <cstring>  
#include <algorithm>  
#include <cmath>  
#include <climits>  
#include <vector>  
#include <set>  
#include <map>  
#include <queue>  
#include <cctype>  
#include <utility>  
#include <ctime>  
using namespace std;  
#ifdef DEBUG  
#define VAR(a,b) decltype(b) a=(b)  
#define debug(...) printf("DEBUG: "),printf(\_\_VA\_ARGS\_\_)  
#define gettime() end\_time=clock();printf("now running time is %.7f\\n",(float)(end\_time - start\_time)/CLOCKS\_PER\_SEC);  
#else  
#define VAR(a,b) \_\_typeof(b) a=(b)  
#define debug(...)  
#define gettime()  
#endif  
typedef unsigned int uint;  
typedef long long int Int;  
typedef unsigned long long int UInt;  
#define Set(a,s) memset(a,s,sizeof(a))  
#define Write(w) freopen(w,"w",stdout)  
#define Read(r) freopen(r,"r",stdin)  
#define Pln() printf("\\n")  
#define I\_de(x,n)for(int i=0;i<n;i++)printf("%d ",x\[i\]);Pln()  
#define De(x)printf(#x"%d\\n",x)  
#define For(i,x)for(int i=0;i<x;i++)  
#define CON(x,y) x##y  
#define Pmz(dp,nx,ny)for(int hty=0;hty<ny;hty++){for(int htx=0;htx<nx;htx++){\\  
    printf("%2d ",(dp\[htx\]\[hty\]==oo)?-1:dp\[htx\]\[hty\]);}Pln();}  
#define M 30005  
#define PII pair<int,int\>  
#define PB push\_back  
#define oo (1<<29)  
#define Set\_oo 0x3f  
#define FOR(a,b) for(VAR(a,(b).begin());a!=(b).end();++a)  
#define eps 1e-6  
#define X first  
#define Y second  
clock\_t start\_time=clock(), end\_time;  
bool xdy(double x,double y){return x>y+eps;}  
bool xddy(double x,double y){return x>y-eps;}  
bool xcy(double x,double y){return x<y-eps;}  
bool xcdy(double x,double y){return x<y+eps;}  
int min3(int x,int y,int z){  
    int tmp=min(x,y);  
    return min(tmp,z);  
}  
int max3(int x,int y,int z){  
    int tmp=max(x,y);  
    return max(tmp,z);  
}  
int n;  
int w\[1005\],l\[1005\];  
int dp\[1005\]\[1005\];  
int main() {  
    ios\_base::sync\_with\_stdio(0);  
    while(~scanf("%d",&n)&&n){  
        fill(&dp\[0\]\[0\],&dp\[1004\]\[1004\],oo);  
        for(int i=n;i>=1;i--){  
            scanf("%d%d",&w\[i\],&l\[i\]);  
        }  
        for(int i=0;i<=n;i++)dp\[i\]\[0\]=0;  
        int ans=0;  
        for(int i=1;i<=n;i++){  
            for(int j=1;j<=n;j++){  
                dp\[i\]\[j\]=dp\[i-1\]\[j\];  
                if(dp\[i-1\]\[j-1\]<=l\[i\]){  
                    dp\[i\]\[j\]=min(dp\[i\]\[j\],dp\[i-1\]\[j-1\]+w\[i\]);  
                    ans=max(ans,j);  
                }  
//                Pmz(dp,6,6);Pln();  
            }  
        }  
        printf("%d\\n",ans);  
    }  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
}  

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