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>
using namespace std;
const int N = 5e2 + 5;
#define ff first
#define ss second
#define pii pair <int, int>
#define pb push_back
char a[N][N];
queue <pii> q;
// yokary saga asak cepe
int aa[] = {-1, 0, 1, 0};
int bb[] = {0, 1, 0, -1};
int n, h, w, state[N][N][4], dis[N][N][10], dp[N][N][10][10];
bool vis[N][N][10];
pii val[N][N][4];
vector <pii> v[N];
pii ugur (int x, int y, int typ) {
if (a[x][y] == 'A') typ--;
else if (a[x][y] == 'C') typ++;
typ += 4;typ %= 4;
if (state[x][y][typ] == 2) return val[x][y][typ];
else if (state[x][y][typ] == 1) {
return {-1, -1};
}
state[x][y][typ] = 1;
int new_x = x + aa[typ], new_y = y + bb[typ];
if (new_x < 1 or new_y < 1 or new_x > h or new_y > w or a[new_x][new_y] == 'x') {
val[x][y][typ] = {x, y};
}
else {
val[x][y][typ] = ugur (new_x, new_y, typ);
}
state[x][y][typ] = 2;
return val[x][y][typ];
}
void solve (int x, int y, int typ) {
dis[x][y][typ] = 0;
vis[x][y][typ] = 1;
q.push ({x, y});
while (!q.empty()) {
pii a1 = q.front();
// cout << a1.ff << " " << a1.ss << "\n";
q.pop();
for (int i = 0; i < 4; ++i) {
pii tr = ugur (a1.ff, a1.ss, i);
if (tr.ff != -1 and tr.ss != -1) {
if (vis[tr.ff][tr.ss][typ]) continue;
vis[tr.ff][tr.ss][typ] = 1;
dis[tr.ff][tr.ss][typ] = dis[a1.ff][a1.ss][typ] + 1;
q.push({tr.ff, tr.ss});
}
}
}
}
int main () {
// ios::sync_with_stdio(0);cin.tie(0);
// freopen ("input.txt", "r", zstdin);
cin >> n >> w >> h;
for (int i = 1; i <= h; ++i) {
for (int j = 1; j <= w; ++j) {
cin >> a[i][j];
}
}
// cout << ugur (1, 1, 2).ff << " " << ugur(1, 1, 2).ss;
// return 0;
for (int i = 1; i <= h; ++i) {
for (int j = 1; j <= w; ++j) {
for (int k = 1; k <= n; ++k) {
dis[i][j][k] = 1e9;
}
}
}
for (int i = 1; i <= h; ++i) {
for (int j = 1; j <= w; ++j) {
if (a[i][j] >= '1' and a[i][j] <= '9') {
dis[i][j][int(a[i][j] - 48)] = 0;
solve (i, j, int(a[i][j] - 48));
}
}
}
for (int i = 1; i <= n; ++i) {
for (int j = i; j <= n; ++j) {
for (int l = 1; l <= h; ++l) {
for (int r = 1; r <= w; ++r) {
dp[l][r][i][j] = 1e9;
}
}
}
}
// return cout << dis[1][10][2], 0;
// cout << "vvv-> " << dis[1][7][4] << "\n";
// return 0;
for (int i = 1; i <= n; ++i) {
for (int j = 1; j + i - 1 <= n; ++j) {
int git = j + i - 1;
if (i == 1) {
for (int l = 1; l <= h; ++l) {
for (int r = 1; r <= w; ++r) {
dp[l][r][j][j] = dis[l][r][j];
}
}
// if (i == 1 and j == 2) {
// cout << "oo : ->" << dp[1][10][2][2];
// return 0;
// }
continue;
}
// tapmaly dp[l][r][j][git]
// cout << dp[1][10][1][2];
// return 0;
for (int k = 0; k < N; ++k) v[i].clear();
for (int l = 1; l <= h; ++l) {
for (int r = 1; r <= w; ++r) {
for (int k = j; k < git; ++k) {
int sym = dp[l][r][j][k] + dp[l][r][k + 1][git];
dp[l][r][j][git] = min (dp[l][r][j][git], sym);
if (sym < N)
v[sym].pb ({l, r});
}
}
}
// if (j == 3 and git == 4) {
// cout << "lkl ";
// cout << j << " " << git << " " << dp[1][7][j][git];
// return 0;
// }
for (int k = 1; k < N; ++k) {
for (pii x : v[k]) {
for (int l = 0; l < 4; ++l) {
pii new_x = ugur (x.ff, x.ss, l);
// if (j == 1 and i == 2) {
// cout << new_x.ff << " " << new_x.ss << " " << dp[new_x.ff][new_x.ss][j][git] + 1 << "\n";
// return 0;
// }
if (new_x.ff != -1 and new_x.ss != -1) {
// assert (k == dp[x.ff][x.ss][j][git]);
if (dp[x.ff][x.ss][j][git] > dp[new_x.ff][new_x.ss][j][git] + 1) {
dp[x.ff][x.ss][j][git] = dp[new_x.ff][new_x.ss][j][git] + 1;
}
}
}
// if (j == 1 and i == 2) {
// return 0;
// }
}
}
// if (j == 1 and i == 2) {
// cout << j << " " << git << " " << dp[1][1][j][git];
// return 0;
// }
}
}
// cout << dp[1][7][3][4];
// return 0;
int jogap = 1e9;
for (int i = 1; i <= h; ++i) {
for (int j = 1; j <= w; ++j) {
jogap = min (jogap, dp[i][j][1][n]);
}
}
if (jogap == 1e9) jogap = -1;
cout << jogap;
}
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