Red Huang

Red Huang

uva 10817

屌思路題,像是 BFS 暴搜 不過不太像 因為條件是要滿足所有的老師都有人

所以用狀壓 DP 紀錄,並且每次更新都要排序過,由目前最多老師的狀態去增加狀態

因為如果由最小的老師去更新,有可能會更新到大的,更新到大的之後,大的在更新一次

等於一個老師用了兩次

//====================================================================||  
// Name        : Headmaster's Headache.cpp                                              ||  
// Date : May 30, 2013 11:44:48 AM                                               ||  
// Author : GCA                                                       ||  
//                  6AE7EE02212D47DAD26C32C0FE829006                  ||  
//====================================================================||  
#include <iostream>  
#include <cstdio>  
#include <cstring>  
#include <algorithm>  
#include <cmath>  
#include <climits>  
#include <vector>  
#include <set>  
#include <map>  
#include <queue>  
#include <cctype>  
#include <utility>  
using namespace std;  
#ifdef ONLINE\_JUDGE  
#define ll "%lld"  
#else  
#define ll "%I64d"  
#endif  
typedef unsigned int uint;  
typedef long long int Int;  
#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("%d ",dp\[htx\]\[hty\]);}Pln();}  
#define M 10011  
#define PII pair<int,int\>  
#define PB push\_back  
#define oo INT\_MAX  
#define Set\_oo 0x3f  
#define Is\_debug true  
#define debug(...) if(Is\_debug)printf("DEBUG: "),printf(\_\_VA\_ARGS\_\_)  
#define FOR(it,c) for(\_\_typeof((c).begin()) it=(c).begin();it!=(c).end();it++)  
#define eps 1e-6  
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 s,m,n;  
struct app{  
    vector<int\> teach;  
    int cost;  
}apps\[105\];  
int dp\[1<<20\];  
int vis\[1<<20\];  
bool cmp(int a,int b){  
    return a>b;  
}  
int main() {  
    ios\_base::sync\_with\_stdio(0);  
    while(~scanf("%d%d%d",&s,&m,&n)&&s+m+n){  
        for(int i=0;i<=(1<<(s\*2));i++)dp\[i\]=oo;  
        memset(vis,0,sizeof(vis));  
        int nowcost=0;  
        int allcost=0;  
        int sub;  
        int alrsub=0;  
        for(int i=0;i<m;i++){  
            scanf("%d",&nowcost);  
            allcost+=nowcost;  
            for(;;){  
                scanf("%d",&sub);  
                int tmp=1<<(sub\*2-1);  
                if((1&(alrsub>>(sub\*2-1)))){  
                    tmp>>=1;  
                }  
                alrsub|=tmp;  
                if(getchar()=='\\n')break;  
            }  
        }  
        for(int i=0;i<n;i++){  
            int cost;  
            scanf("%d",&cost);  
            apps\[i\].cost=cost;  
            apps\[i\].teach.clear();  
            for(;;){  
                scanf("%d",&sub);  
                apps\[i\].teach.PB(sub);  
                if(getchar()=='\\n')break;  
//                printf("%d\\n",apps\[i\].cost);  
            }  
        }  
        vector<int\> q;  
        q.PB(alrsub);  
        dp\[alrsub\]=allcost;  
        vis\[alrsub\]=1;  
        for(int i=0;i<n;i++){  
            sort(q.begin(),q.end(),cmp);  
            int size=q.size();  
            for(int j=0;j<size;j++){  
                int tmp=q\[j\];  
                int nc=apps\[i\].cost;  
                FOR(it,apps\[i\].teach){  
                    int sub=(\*it);  
                    int nt=1<<(sub\*2-1);  
                    if(1&(tmp>>(sub\*2-1))){  
                        nt>>=1;  
                    }  
                    tmp|=nt;  
                }  
                if(dp\[q\[j\]\]+nc<dp\[tmp\]){  
                    dp\[tmp\]=dp\[q\[j\]\]+nc;  
                    if(!vis\[tmp\]){  
                        q.PB(tmp);  
                        vis\[tmp\]=1;  
                    }  
                }  
            }  
  
  
        }  
        printf("%d\\n",dp\[((1<<(s\*2))-1)\]);  
  
    }  
  
}  

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