Time Limit: 20 Sec Memory Limit: 256 MB
http://acm.hdu.edu.cn/showproblem.php?pid=4114
Disney's FastPass is a virtual queuing system created by the Walt Disney Company. First introduced in 1999 (thugh the idea of a ride reservation system was first introduced in world fairs), Fast-Pass allows guests to avoid long lines at the attractions on which the system is installed, freeing them to enjoy other attractions during their wait. The service is available at no additional charge to all park guests.
--- wikipedia
Disneyland is a large theme park with plenties of entertainment facilities, also with a large number of tourists. Normally, you need to wait for a long time before geting the chance to enjoy any of the attractions. The FastPass is a system allowing you to pick up FastPass-tickets in some specific position, and use them at the corresponding facility to avoid long lines. With the help of the FastPass System, one can arrange his/her trip more efficiently.
You are given the map of the whole park, and there are some attractions that you are interested in. How to visit all the interested attractions within the shortest time?
Output
For each test case in the input, print one line: "Case #X: Y", where X is the test case number (starting with 1) and Y is the minimum time of the trip.
2 4 5 2 1 2 8 2 3 4 3 4 19 4 1 6 2 4 7 2 25 18 1 3 4 12 6 1 3 4 6 2 1 2 5 1 4 4 3 1 1 3 2 1 3 4 1 2 4 10 2 8 3 1 4 4 8 3 1 2
题意
游戏园里有N个区域,有M条边连接这N个区域,有K个要访问的景点。对于每个景点告诉你这个景点所在的区域,要访问这个景点需要等待一定时间,如果没有 FastPass,等待时间有Ti,否则等待时间为FTi,接下来的Ni,表示有Ni个区域可以得到这个景点的FastPass,问从区域1出发,再回到 区域1所需要的最少时间。
题解:
状态压缩dp
http://blog.csdn.net/shiqi_614/article/details/11265439
代码:
//qscqesze #include <cstdio> #include <cmath> #include <cstring> #include <ctime> #include <iostream> #include <algorithm> #include <set> #include <vector> #include <sstream> #include <queue> #include <typeinfo> #include <fstream> #include <map> #include <stack> typedef long long ll; using namespace std; //freopen("D.in","r",stdin); //freopen("D.out","w",stdout); #define sspeed ios_base::sync_with_stdio(0);cin.tie(0) #define maxn 100 #define mod 10007 #define eps 1e-9 int Num; char CH[20]; //const int inf=0x7fffffff; //нчоч╢С const int inf=0x3f3f3f3f; /* inline void P(int x) { Num=0;if(!x){putchar('0');puts("");return;} while(x>0)CH[++Num]=x%10,x/=10; while(Num)putchar(CH[Num--]+48); puts(""); } */ inline ll read() { ll x=0,f=1;char ch=getchar(); while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();} while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();} return x*f; } inline void P(int x) { Num=0;if(!x){putchar('0');puts("");return;} while(x>0)CH[++Num]=x%10,x/=10; while(Num)putchar(CH[Num--]+48); puts(""); } //************************************************************************************** int dis[maxn][maxn]; int dp[maxn][1<<8][1<<8]; int pas[1<<8]; int ans; int t[maxn],ft[maxn],pos[maxn]; int n,m,k; void init() { ans=inf; memset(dp,0x3f,sizeof(dp)); memset(dis,0x3f,sizeof(dis)); memset(pas,0,sizeof(pas)); } void flyod() { for(int k=1;k<=n;k++) { for(int i=1;i<=n;i++) { if(i!=k) for(int j=1;j<=n;j++) { if(j!=i&&j!=k) dis[i][j]=min(dis[i][k]+dis[k][j],dis[i][j]); } } } } void solve() { dp[1][0][0]=0; for(int s1=0;s1<(1<<k);s1++) { for(int s2=0;s2<(1<<k);s2++) { for(int i=1;i<=n;i++) { int now=dp[i][s1][s2]; if(now==inf) continue; if(s2==((1<<k)-1)) ans=min(ans,now+dis[i][1]); for(int j=0;j<k;j++) if((s2&(1<<j))==0) { int &nxt=dp[pos[j]][ s1|pas[ pos[j] ] ][s2^(1<<j)]; int add=dis[i][pos[j]]; if(s1&(1<<j)) add+=ft[j]; else add+=t[j]; nxt=min(nxt,now+add); } for(int j=1;j<=n;j++) { int &nxt=dp[j][s1|pas[j]][s2]; int add=dis[i][j]; nxt=min(nxt,now+add); } } } } //return ans; } int main() { //freopen("test.txt","r",stdin); int tt=read(); for(int cas=1;cas<=tt;cas++) { init(); scanf("%d%d%d",&n,&m,&k); for(int i=0;i<n;i++) dis[i][i]=0; for(int i=0;i<m;i++) { int a,b,c; scanf("%d%d%d",&a,&b,&c); dis[a][b]=dis[b][a]=c; } flyod(); for(int i=0;i<k;i++) { scanf("%d%d%d",&pos[i],&t[i],&ft[i]); int num; scanf("%d",&num); for(int j=0;j<num;j++) { int tmp; scanf("%d",&tmp); pas[tmp]|=(1<<i); } } solve(); printf("Case #%d: %d\n",cas,ans); } }