// #pragma GCC optimize("O3")
// #pragma GCC optimize("Ofast,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
/*
Wake up, I'm wake up
Thu sang roi, em thay khong?
*/
using namespace std;
using ll = long long;
#define int long long
#define pii pair<int, int>
#define fi first
#define se second
const int N = 5e2 + 5, inf = 1e9, mod = 1e9 + 7, block = 320, lim = 19;
int n, w, h;
char a[N][N];
int dx[] = {-1, 0, 1, 0}; // tren, phai, duoi, trai
int dy[] = {0, 1, 0, -1};
pii pre[N][N][4];
int preid[N][N][4];
vector<array<array<int, 11>, 11>> dp;
vector<pii> stops;
pii dfs(int x, int y, int k) {
if (pre[x][y][k].se == -1) {
int nx = 0, ny = 0, nk = k;
pre[x][y][k].se = 0;
if (a[x][y] == 'A') {
nk = (k + 3) % 4;
}
else if (a[x][y] == 'C') {
nk = (k + 1) % 4;
}
nx = x + dx[nk];
ny = y + dy[nk];
if (nx < 1 || ny < 1 || nx > h || ny > w || a[nx][ny] == 'x') {
pre[x][y][k] = make_pair(x, y);
}
else pre[x][y][k] = dfs(nx, ny, nk);
}
return pre[x][y][k];
}
void precompute() {
for (int i = 1; i <= h; i++) {
for (int j = 1; j <= w; j++) {
for (int k = 0; k < 4; k++) {
pre[i][j][k] = make_pair(-1, -1);
}
}
}
for (int i = 1; i <= h; i++) {
for (int j = 1; j <= w; j++) {
for (int k = 0; k < 4; k++) {
dfs(i, j, k);
}
}
}
}
struct item {
int id, L, R, val;
bool operator <(const item &other) const {
return val > other.val;
}
};
int key(int x, int y) {
return (x << 32) | y;
}
void dijkstra(int len) {
int S = (int)stops.size();
for (int s = 0; s < S; ++s) {
for (int L = 1; L <= n; ++L)
for (int R = 1; R <= n; ++R)
dp[s][L][R] = inf;
}
priority_queue<item> q;
if (len == 1) {
for (int s = 0; s < S; ++s) {
int i = stops[s].fi, j = stops[s].se;
for (int R = 1; R <= n; R++) {
if (a[i][j] >= '1' && a[i][j] <= '9' && (a[i][j]-'0') == R) {
dp[s][R][R] = 0;
q.push({s, R, R, 0});
}
}
}
}
else {
for (int s = 0; s < S; ++s) {
int i = stops[s].fi, j = stops[s].se;
for (int R = len; R <= n; R++) {
int L = R - len + 1;
int val = inf;
for (int k = L; k < R; k++) {
val = min(val, dp[s][L][k] + dp[s][k + 1][R]);
}
if (val < inf) {
dp[s][L][R] = val;
q.push({s, L, R, val});
}
}
}
}
while (!q.empty()) {
auto it = q.top(); q.pop();
int id = it.id, L = it.L, R = it.R, val = it.val;
if (dp[id][L][R] != val) continue;
int x = stops[id].fi, y = stops[id].se;
for (int d = 0; d < 4; ++d) {
int nid = preid[x][y][d];
if (nid < 0) continue;
if (dp[nid][L][R] > dp[id][L][R] + 1) {
dp[nid][L][R] = dp[id][L][R] + 1;
q.push({nid, L, R, dp[nid][L][R]});
}
}
}
}
void solve() {
for (int len = 1; len <= n; len++) {
dijkstra(len);
}
int ans = inf;
int S = (int)stops.size();
for (int s = 0; s < S; ++s) {
ans = min(ans, dp[s][1][n]);
}
cout << (ans >= inf ? -1 : ans);
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
if (fopen(".inp", "r")) {
freopen(".inp", "r", stdin);
freopen(".out", "w", stdout);
}
cin >> n >> w >> h;
for (int i = 1; i <= h; i++) {
for (int j = 1; j <= w; j++) {
cin >> a[i][j];
}
}
precompute();
{
map<int, int> idx;
for (int x = 1; x <= h; ++x) {
for (int y = 1; y <= w; ++y) {
for (int d = 0; d < 4; ++d) {
auto p = pre[x][y][d];
if (p.fi >= 1) {
int k = key(p.fi,p.se);
if (!idx.count(k)) {
idx[k] = stops.size();
stops.push_back(p);
}
}
}
}
}
for (int x = 1; x <= h; ++x) {
for (int y = 1; y <= w; ++y) {
if (a[x][y] >= '1' && a[x][y] <= '9') {
int k = key(x, y);
if (!idx.count(k)) {
idx[k] = stops.size();
stops.push_back({x,y});
}
}
}
}
for (int x = 1; x <= h; ++x) {
for (int y = 1; y <= w; ++y) {
for (int d = 0; d < 4; ++d) {
auto p = pre[x][y][d];
if (p.fi >= 1) preid[x][y][d] = idx[key(p.fi,p.se)];
else preid[x][y][d] = -1;
}
}
}
}
int S = (int)stops.size();
dp.assign(S, array<array<int,11>,11>());
for (int s = 0; s < S; ++s)
for (int L = 0; L <= 10; ++L)
for (int R = 0; R <= 10; ++R)
dp[s][L][R] = inf;
solve();
return 0;
}
Compilation message (stderr)
robots.cpp: In function 'int main()':
robots.cpp:147:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
147 | freopen(".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~
robots.cpp:148:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
148 | freopen(".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
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