#include <iostream> #include <cstdio> #include <cstring> #include <cmath> #include <set> #include <vector> #include <map> #include <queue> #include <set> #include <algorithm> #include <limits.h> using namespace std; typedef long long LL; const int MAXN=1e+5; const int MAXM=1e+6; const int INF = INT_MAX; struct Edge { int from,to,ci,next; Edge(){} Edge(int _from,int _to,int _ci,int _next):from(_from),to(_to),ci(_ci),next(_next){} }e[MAXM]; int head[MAXN],tot; int dis[MAXN]; int top,sta[MAXN],cur[MAXN]; inline void init(){ memset(head,-1,sizeof(head)); tot=0; } inline void AddEdge(int u,int v,int ci0,int ci1=0){ e[tot]=Edge(u,v,ci0,head[u]); head[u]=tot++; e[tot]=Edge(v,u,ci1,head[v]); head[v]=tot++; } inline bool bfs(int st,int et){ memset(dis,0,sizeof(dis)); dis[st]=1; queue <int> q; q.push(st); while(!q.empty()){ int now=q.front(); q.pop(); for(int i=head[now];i!=-1;i=e[i].next){ int next=e[i].to; if(e[i].ci&&!dis[next]){ dis[next]=dis[now]+1; if(next==et)return true; q.push(next); } } } return false; } LL Dinic(int st,int et){ LL ans=0; while(bfs(st,et)){ top=0; memcpy(cur,head,sizeof(head)); int u=st,i; while(1){ if(u==et){ int pos,minn=INF; for(i=0;i<top;i++) { if(minn>e[sta[i]].ci){ minn=e[sta[i]].ci; pos=i; } } for(i=0;i<top;i++){ e[sta[i]].ci-=minn; e[sta[i]^1].ci+=minn; } top=pos; u=e[sta[top]].from; ans+=minn; } for(i=cur[u];i!=-1;cur[u]=i=e[i].next) if(e[i].ci&&dis[u]+1==dis[e[i].to])break; if(cur[u]!=-1){ sta[top++]=cur[u]; u=e[cur[u]].to; } else { if(top==0)break; dis[u]=0; u=e[sta[--top]].from; } } } return ans; } struct point { char pos; int x,y; point(){} point(char _pos,int _x,int _y):pos(_pos),x(_x),y(_y){} }cs[110]; bool cmp(point x,point y){ return x.pos<y.pos; } char map1[110][110]; int disx[2][110][110],n,m; int dx[]={0,0,1,-1}; int dy[]={1,-1,0,0}; int bfs(point st,point et,int fl){ pair <int,int> now,next; queue < pair<int,int> > q; q.push(pair<int,int>(st.x,st.y)); memset(disx[fl],-1,sizeof(disx[fl])); disx[fl][st.x][st.y]=0; while(!q.empty()){ now=q.front(); q.pop(); if(now.first==et.x&&now.second==et.y)return disx[fl][now.first][now.second]; for(int i=0;i<4;i++){ next.first=now.first+dx[i]; next.second=now.second+dy[i]; if(next.first<1||next.first>n||next.second<1||next.second>m)continue; if(map1[next.first][next.second]=='#')continue; if(disx[fl][next.first][next.second]!=-1)continue; disx[fl][next.first][next.second]=disx[fl][now.first][now.second]+1; q.push(next); } } return -1; } int main() { while(~scanf("%d%d",&n,&m)){ int tos1=0; init(); for(int i=1;i<=n;i++) for(int j=1;j<=m;j++){ scanf(" %c",&map1[i][j]); if(map1[i][j]!='.'&&map1[i][j]!='*'&&map1[i][j]!='#'){ cs[tos1++]=point(map1[i][j],i,j); } } sort(cs,cs+tos1,cmp); int flag=1; for(int i=0;i<tos1-1&&flag;i++){ int t1=bfs(cs[i],cs[i+1],0); int t2=bfs(cs[i+1],cs[i],1); if(t1==-1){ flag=0;break; } for(int ii=1;ii<=n;ii++) for(int jj=1;jj<=m;jj++) if(disx[0][ii][jj]!=-1&&disx[1][ii][jj]!=-1) if(disx[0][ii][jj]+disx[1][ii][jj]==t1){ if(map1[ii][jj]=='*'){ AddEdge(ii*m+jj+200,cs[i+1].pos,1); } } } if(flag){ for(int i=1;i<=n;i++) for(int j=1;j<=m;j++) AddEdge(0,i*m+j+200,1); for(int i=0;i<tos1;i++) AddEdge(cs[i].pos,1,1); printf("%I64d\n",Dinic(0,1)); } else puts("-1"); } return 0; }
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