This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// cre: Nguyen Ngoc Hung - Train VOI 2024 :>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <unordered_set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>
#include <cstring>
#include <unordered_map>
#include <cmath>
#include <cassert>
#include <random>
using namespace std;
#define SORT_UNIQUE(v) sort(ALL(v)),(v).resize(unique(ALL(v))-(v).begin())
#define __nnhzzz__ signed main()
#define BIT(i,j) ((i>>j)&1LL)
#define MASK(i) (1LL<<i)
#define RALL(x) (x).rbegin(),(x).rend()
#define ALL(x) (x).begin(),(x).end()
#define SZ(x) (int)(x).size()
#define fi first
#define se second
#define INF 0x3f3f3f3f
#define ll long long
#define ull unsigned long long
#define ld long double
#define vi vector<int>
#define vvi vector<vi>
#define pii pair<int,int>
#define vpii vector<pii>
#define RESET(x,val) memset((x),(val),sizeof(x))
#define REPDIS(i,be,en,j) for(int i = (be); i<=(en); i+=j)
#define REPD(i,be,en) for(int i = (be); i>=(en); i--)
#define REP(i,be,en) for(int i = (be); i<=(en); i++)
//-------------------------------------------------------------//
const int oo = 0x3f3f3f3f,LOG = 20,MAXN = 5e2+3,N = 1e2+3;
const int dir[4][2] = {{-1,0},{0,1},{1,0},{0,-1}};
const int MOD = 1e9+7,MOD1 = 1e9+207,MOD2 = 1e9+407,MOD3 = 998244353;
//-------------------------------------------------------------//
template<typename T1, typename T2> bool mini(T1 &a, T2 b){if(a>b){a=b;return true;}return false;}
template<typename T1, typename T2> bool maxi(T1 &a, T2 b){if(a<b){a=b;return true;}return false;}
template<typename T> T gcd(T a, T b) { while(b) { a %= b; swap(a,b); } return a; }
template<typename T> T lcm(T a, T b) { return a/gcd(a,b)*b; }
/*
----------------------------------------------------------------
END OF TEMPLATE
----------------------------------------------------------------
Nguyen Ngoc Hung - nnhzzz
Training for VOI24 gold medal
----------------------------------------------------------------
*/
int tran(int a, int b){ return (a<<10)|b; }
int _fi(int a){ return a>>10; }
int _se(int a){ return a&1023; }
int to[MAXN][MAXN][4],instk[MAXN][MAXN],pos[10],dp[10][10][MAXN][MAXN];
char s[MAXN][MAXN];
stack<int> stk; queue<int> q; vpii ins;
int n,w,h,maxtran = tran(oo,oo),invalid = tran(-1,-1);
int f(int x, int y, int t){
int &res = to[x][y][t];
if(res!=maxtran){
return res;
}
if(s[x][y]=='x'){
return res = invalid;
}
stk.push(tran(x,y));
instk[x][y] = 1;
int nx = x+dir[t][0],ny = y+dir[t][1];
if(nx>=0 && ny>=0 && nx<h && ny<w){
if(instk[nx][ny]){
res = invalid;
}else{
if(s[nx][ny]=='x'){
res = tran(x,y);
}else{
if(s[nx][ny]=='A'){
res = f(nx,ny,(t+3)%4);
}else{
if(s[nx][ny]=='C'){
res = f(nx,ny,(t+1)%4);
}else{
res = f(nx,ny,t);
}
}
}
}
}else{
res = tran(x,y);
}
stk.pop();
instk[x][y] = 0;
return res;
}
void bfs(int d[MAXN][MAXN], int type, int a, int b, int c){
if(type==0){
ins.emplace_back(0,pos[a]);
}else{
REP(i,0,h-1){
REP(j,0,w-1){
int val = dp[a][b][i][j]+dp[b+1][c][i][j];
if(val<d[i][j]){
ins.emplace_back(val,tran(i,j));
}
}
}
}
sort(ALL(ins),greater<pii>());
while(SZ(ins)!=0){
auto [wit,it] = ins.back();
if(mini(d[_fi(it)][_se(it)],wit)){
q.push(it);
}
ins.pop_back();
while(SZ(q)!=0){
int c = q.front(); q.pop();
int cdis = d[_fi(c)][_se(c)];
while(SZ(ins)!=0 && cdis+1>ins.back().fi){
wit = ins.back().fi; it = ins.back().se;
if(mini(d[_fi(it)][_se(it)],wit)){
q.push(it);
}
ins.pop_back();
}
for(auto i:to[_fi(c)][_se(c)]){
if(i==invalid){
continue;
}
if(mini(d[_fi(i)][_se(i)],cdis+1)){
q.push(i);
}
}
}
}
}
void solve(){
cin >> n >> w >> h;
REP(i,0,h-1){
REP(j,0,w-1){
cin >> s[i][j];
if(s[i][j]>='1' && s[i][j]<='9'){
pos[s[i][j]-'0'] = tran(i,j);
}
REP(k,0,3){
to[i][j][k] = tran(oo,oo);
}
}
}
REP(i,0,h-1){
REP(j,0,w-1){
REP(k,0,3){
f(i,j,k);
}
}
}
memset(dp,0x3f3f3f3f,sizeof dp);
REP(len,1,n){
REP(l,1,n-len+1){
int r = l+len-1;
if(l==r){
bfs(dp[l][r],0,l,-1,-1);
}else{
REP(mid,l,r-1){
bfs(dp[l][r],1,l,mid,r);
}
}
}
}
int res = oo;
REP(i,0,h-1){
REP(j,0,w-1){
mini(res,dp[1][n][i][j]);
}
}
cout << (res==oo?-1:res);
}
__nnhzzz__{
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
#define name "test"
if(fopen(name".inp","r")){
freopen(name".inp","r",stdin);
freopen(name".out","w",stdout);
}
#define name1 "nnhzzz"
if(fopen(name1".inp","r")){
freopen(name1".inp","r",stdin);
freopen(name1".out","w",stdout);
}
int test = 1;
while(test--){
solve();
}
cerr << "\nTime elapsed: " << 1000*clock()/CLOCKS_PER_SEC << "ms\n";
return 0;
}
Compilation message (stderr)
robots.cpp: In function 'void bfs(int (*)[503], int, int, int, int)':
robots.cpp:145:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
145 | auto [wit,it] = ins.back();
| ^
robots.cpp: In function 'int main()':
robots.cpp:219:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
219 | freopen(name".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
robots.cpp:220:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
220 | freopen(name".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
robots.cpp:224:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
224 | freopen(name1".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
robots.cpp:225:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
225 | freopen(name1".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
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