[bfs][spfa] Jzoj P6286 走格子
题解
- 原题怪出现了 (戳我)
代码
1 #include <cstdio> 2 #include <cstring> 3 #include <algorithm> 4 #include <iostream> 5 using namespace std; 6 const int mo=500000,dx[4]={0,1,0,-1},dy[4]={1,0,-1,0}; 7 struct edge { int x,y; }st,en; 8 int d[mo+1][2],dis[501][501],bz[501][501],a[501][501],f[501][501][4],n,m; 9 char map[501][501]; 10 void bfs() 11 { 12 int tail=0,head=1; 13 memset(a,127,sizeof(a)); 14 for (int i=1;i<=n;i++) 15 for (int j=1;j<=m;j++) 16 if (map[i][j]=='#') 17 d[++tail][0]=i,d[tail][1]=j,a[i][j]=0; 18 while (head<tail) 19 { 20 head++; 21 int u=d[head][0],v=d[head][1]; 22 for (int i=0;i<4;i++) 23 { 24 int x=u+dx[i],y=v+dy[i]; 25 if (x>n||y>m||x<1||y<1||a[u][v]+1>=a[x][y]) continue; 26 d[++tail][0]=x,d[tail][1]=y; 27 a[x][y]=a[u][v]+1; 28 } 29 } 30 } 31 void spfa() 32 { 33 int head=0,tail=1; 34 while (head<tail) 35 { 36 head=head%mo+1; 37 int u=d[head][0],v=d[head][1]; 38 bz[u][v]=0; 39 for (int i=0;i<4;i++) 40 { 41 int x=u+dx[i],y=v+dy[i]; 42 if ((map[x][y]=='#')||(dis[u][v]+1>=dis[x][y])) continue; 43 dis[x][y]=dis[u][v]+1; 44 if (bz[x][y]) continue; 45 bz[x][y]=1; 46 tail=tail%mo+1; 47 d[tail][0]=x,d[tail][1]=y; 48 } 49 for (int i=0;i<4;i++) 50 { 51 int x=u,y=v; 52 if (i>1) x=f[u][v][i]; else y=f[u][v][i]; 53 if (dis[u][v]+a[u][v]>=dis[x][y]) continue; 54 dis[x][y]=dis[u][v]+a[u][v]; 55 if (bz[x][y]) continue; 56 bz[x][y]=1; 57 tail=tail%mo+1; 58 d[tail][0]=x,d[tail][1]=y; 59 } 60 } 61 } 62 int main() 63 { 64 freopen("cell.in","r",stdin); 65 freopen("cell.out","w",stdout); 66 scanf("%d%d",&n,&m); 67 memset(dis,127,sizeof(dis)); 68 for (int i=1;i<=n;i++) 69 { 70 scanf("%s",map[i]+1); 71 for (int j=1;j<=m;j++) 72 if (map[i][j]=='C') st.x=i,st.y=j,dis[i][j]=0; 73 else if (map[i][j]=='F') en.x=i,en.y=j; 74 } 75 for (int i=1;i<=n;i++) 76 { 77 f[i][1][0]=1; 78 for (int j=2;j<=m;j++) if (map[i][j-1]=='#') f[i][j][0]=j; else f[i][j][0]=f[i][j-1][0]; 79 f[i][m][1]=m; 80 for (int j=m-1;j;j--) if (map[i][j+1]=='#') f[i][j][1]=j; else f[i][j][1]=f[i][j+1][1]; 81 } 82 83 for (int j=1;j<=m;j++) 84 { 85 f[1][j][2]=1; 86 for (int i=2;i<=n;i++) if (map[i-1][j]=='#') f[i][j][2]=i; else f[i][j][2]=f[i-1][j][2]; 87 f[n][j][3]=n; 88 for (int i=n-1;i;i--) if (map[i+1][j]=='#') f[i][j][3]=i; else f[i][j][3]=f[i+1][j][3]; 89 } 90 bfs(); 91 memset(bz,0,sizeof(bz)); 92 d[1][0]=st.x,d[1][1]=st.y; 93 spfa(); 94 if (dis[en.x][en.y]>1e9) printf("no\n"); 95 else printf("%d\n",dis[en.x][en.y]); 96 }