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uva 11487

SPFA找所有英文字的最短路徑,跟所有方法

記得吃過的英文字可以再走一次

//
// 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 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 debug(...)
#define gettime()
#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 12
#define PII pair<int,int>
#define PB push_back
#define oo INT_MAX
#define Set_oo 0x3f
#define X first;
#define Y second;
#define FOR(it,c) for(__typeof((c).begin()) it=(c).begin();it!=(c).end();it++)
#define eps 1e-6
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);
}
char mz[M][M];
int kx[30],ky[30];
int n;
int path[30][30];
int meth[30][30];
int dx[]={0,0,1,-1};
int dy[]={1,-1,0,0};
int h;
int mod=20437;
void spfa(char a,char b){
a-='A';
b-='A';
path[a][b]=oo;
int bx=kx[a];
int by=ky[a];
int ex=kx[b];
int ey=ky[b];
// debug("%d %d %d %d\n",bx,by,ex,ey);
int dis[M][M];
fill(&dis[0][0],&dis[M-1][M-1],oo);
dis[bx][by]=0;

queue<PII> q;
q.push(PII(bx,by));
while(!q.empty()){
int x=q.front().X;
int y=q.front().Y;
// debug("%d %d\n",x,y);
// debug("%c %c %d\n",a+'A',b+'A',meth[a][b]);
q.pop();
if(x==ex&&y==ey&&dis[x][y]<=path[a][b]){
path[a][b]=dis[x][y];
meth[a][b]++;
continue;
}
for(int i=0;i<4;i++){
int nx=x+dx[i],ny=y+dy[i];
if(nx<0||nx>=n||ny<0||ny>=n)continue;
if(mz[ny][nx]=='#')continue;
if(isalpha(mz[ny][nx])&&mz[ny][nx]>b+'A')continue;
if(dis[nx][ny]>=dis[x][y]+1){
dis[nx][ny]=dis[x][y]+1;
q.push(PII(nx,ny));
}
}
}
if(path[a][b]==oo)path[a][b]=-1;

}
void solve(){
Set(meth,0);
int ansdis=0,ansmeth=1;
int i;
for(i=1;i<h;i++){
spfa('A'+i-1,'A'+i);
if(path[i-1][i]==-1)break;
ansdis=(ansdis+path[i-1][i])%mod;
ansmeth=ansmeth*(meth[i-1][i]%mod);
ansmeth%=mod;
}
if(i==h){
printf("%d %d\n",ansdis,ansmeth);
}else puts("Impossible");

}
int main() {
ios_base::sync_with_stdio(0);
int ff=0;
while(~scanf("%d",&n)&&n){
h=0;
for(int i=0;i<n;i++){
scanf("%s",mz[i]);
for(int j=0;j<n;j++){
if(isalpha(mz[i][j])){
kx[mz[i][j]-'A']=j;
ky[mz[i][j]-'A']=i;
h++;
}
}
}
printf("Case %d: ",++ff);
solve();
}

















}

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