#include <iostream>
#include <vector>
#include <queue>
#include <algorithm>
using namespace std;
const int INF = 1e9;
const int dx[] = {-1, 0, 1, 0}; // Up, Right, Down, Left
const int dy[] = {0, 1, 0, -1};
int N, W, H;
char grid[505][505];
int memo_move[505][505][4][2]; // Precomputed movement
int dist[10][10][505][505];
// Precompute where a robot stops when pushed
void precompute_moves(int x, int y, int d, int &rx, int &ry) {
if (memo_move[x][y][d][0] != -1) {
rx = memo_move[x][y][d][0];
ry = memo_move[x][y][d][1];
return;
}
int nx = x + dx[d], ny = y + dy[d], nd = d;
// Check for "Turn" plates
if (grid[x][y] == 'A') nd = (d + 3) % 4; // Counter-clockwise
else if (grid[x][y] == 'C') nd = (d + 1) % 4; // Clockwise
nx = x + dx[nd]; ny = y + dy[nd];
if (nx < 0 || nx >= H || ny < 0 || ny >= W || grid[nx][ny] == 'x') {
rx = x; ry = y; // Hits wall
} else {
precompute_moves(nx, ny, nd, rx, ry);
}
memo_move[x][y][d][0] = rx;
memo_move[x][y][d][1] = ry;
}
void solve() {
// 1. Initialize dist with INF
// 2. Loop length 'len' from 1 to N:
// Loop start 'i' from 1 to N-len+1:
// int j = i + len - 1;
// If len > 1:
// Combine sub-robots: dist[i][j][x][y] = min(dist[i][k] + dist[k+1][j])
//
// 3. Run Dijkstra/BFS to spread the 'moves' for this robot range [i, j]
// priority_queue<pair<int, pair<int, int>>> pq;
// pq.push({dist[i][j][x][y], {x, y}});
// While pq not empty:
// For d = 0 to 3:
// Get precomputed (rx, ry)
// If dist[i][j][rx][ry] > current_dist + 1:
// dist[i][j][rx][ry] = current_dist + 1
// pq.push(...)
}
int main() {
// Input handling and precompute_moves loop
return 0;
}
