This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define fi first
#define se second
#define pb push_back
using namespace std;
typedef long long ll;
typedef pair<short,short> P;
struct A{
short y, x, dir;
};
int n, w, h;
string xy[505];
P nxt[505][505][4];
int dy[4]={-1,0,1,0};
int dx[4]={0,1,0,-1};
vector<vector<int>> D[10][10];
vector<P> nQ[130000*8+5];
bool chk[505][505];
const int INF=1e9;
void fastio(){
ios_base::sync_with_stdio(false); cin.tie(NULL);
}
void get_nxt()
{
queue<A> Q;
for(int i=0 ; i<h ; i++){
for(int j=0 ; j<w ; j++){
if(xy[i][j]=='x') continue;
for(int k=0 ; k<4 ; k++){
nxt[i][j][k]=P(-1,-1);
int ny=i+dy[k], nx=j+dx[k];
if(ny<0 || ny>=h || nx<0 || nx>=w || xy[ny][nx]=='x'){
nxt[i][j][k]=P(i,j);
Q.push({(short)i,(short)j,(short)k});
}
}
}
}
while(!Q.empty()){
A v=Q.front(); Q.pop();
P pr=nxt[v.y][v.x][v.dir];
if(xy[v.y][v.x]=='A') v.dir=(v.dir+1)%4;
else if(xy[v.y][v.x]=='C') v.dir=(v.dir+3)%4;
v.dir=(v.dir+2)%4;
v.y+=dy[v.dir], v.x+=dx[v.dir];
if(v.y<0 || v.y>=h || v.x<0 || v.x>=w || xy[v.y][v.x]=='x') continue;
v.dir=(v.dir+2)%4;
nxt[v.y][v.x][v.dir]=pr; Q.push(v);
}
}
void prop(int s, int e)
{
memset(chk,false,sizeof(chk));
int mn=INF, mx=0;
for(int i=0 ; i<h ; i++){
for(int j=0 ; j<w ; j++){
if(D[s][e][i][j]!=-1){
nQ[D[s][e][i][j]].pb(P(i,j));
mn=min(mn,D[s][e][i][j]);
mx=max(mx,D[s][e][i][j]);
}
}
}
while(mn<=mx){
vector<P> &cur=nQ[mn];
if(cur.empty()){
vector<P>().swap(cur);
mn++; continue;
}
P v=cur.back(); cur.pop_back();
if(chk[v.fi][v.se]) continue;
chk[v.fi][v.se]=true;
for(int i=0 ; i<4 ; i++){
if(nxt[v.fi][v.se][i]==P(-1,-1)) continue;
P nv=nxt[v.fi][v.se][i];
if(!chk[nv.fi][nv.se] && (D[s][e][nv.fi][nv.se]==-1 || D[s][e][nv.fi][nv.se]>D[s][e][v.fi][v.se]+1)){
D[s][e][nv.fi][nv.se]=D[s][e][v.fi][v.se]+1;
nQ[D[s][e][nv.fi][nv.se]].pb(nv);
mx=max(mx,D[s][e][nv.fi][nv.se]);
}
}
}
}
int main()
{
fastio();
cin >> n >> w >> h;
for(int i=0 ; i<h ; i++) cin >> xy[i];
get_nxt();
for(int i=1 ; i<=n ; i++) for(int j=1 ; j<=n ; j++) D[i][j].resize(h,vector<int>(w,-1));
for(int i=0 ; i<h ; i++){
for(int j=0 ; j<w ; j++){
if(xy[i][j]>='1' && xy[i][j]<='9'){
D[xy[i][j]-'0'][xy[i][j]-'0'][i][j]=0;
prop(xy[i][j]-'0',xy[i][j]-'0');
}
}
}
for(int x=1 ; x<n ; x++){
for(int i=1, j=1+x ; i+x<=n ; i++, j++){
for(int c=i ; c<j ; c++){
for(int y=0 ; y<h ; y++){
for(int x=0 ; x<w ; x++){
if(D[i][c][y][x]==-1 || D[c+1][j][y][x]==-1) continue;
if(D[i][j][y][x]==-1 || D[i][j][y][x]>D[i][c][y][x]+D[c+1][j][y][x]) D[i][j][y][x]=D[i][c][y][x]+D[c+1][j][y][x];
}
}
}
prop(i,j);
}
}
int ans=-1;
for(int i=0 ; i<h ; i++) for(int j=0 ; j<w ; j++) if(D[1][n][i][j]!=-1 && (ans==-1 || ans>D[1][n][i][j])) ans=D[1][n][i][j];
cout << ans;
return 0;
}
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