#include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; const int INF = 1e+9; typedef pair P; struct edge{ int to; int cost; }; void dijkstra(int s, int num_v, vector G[], int d[]){ priority_queue, greater

> que; fill(d, d+num_v, INF); d[s] = 0; que.push(P(0, s)); while(!que.empty()){ P p = que.top();que.pop(); int v = p.second; if(d[v] < p.first) continue; for(int i = 0; i < G[v].size(); i++){ edge e = G[v][i]; if(d[v] + e.cost < d[e.to]){ d[e.to] = d[v] + e.cost; que.push(P(d[e.to], e.to)); } } } } int h, w, ra, ca, rb, cb; char s[1500][1500]; int dh[4] = {0, 0, -1, 1}; int dw[4] = {-1, 1, 0, 0}; bool is_in_field(int i, int j){ return i >= 0 && i < h && j >= 0 && j < w; } int to_idx(int i, int j){ return i*w+j; } int to_i(int idx){ return idx/w; } int to_j(int idx){ return idx%w; } void input(){ cin >> h >> w >> ra >> ca >> rb >> cb; ra--; ca--; rb--; cb--; for(int i = 0; i < h; i++){ for(int j = 0; j < w; j++){ cin >> s[i][j]; } } } vector G[1333*1333]; int dist[1333*1333]; vector

get_shortest_path(){ int cur_h = rb, cur_w = cb; vector

ans; ans.push_back(P(cur_h, cur_w)); while(cur_h != ra || cur_w != ca){ for(int i = 0; i < 4; i++){ int h_to = cur_h+dh[i]; int w_to = cur_w+dw[i]; if(is_in_field(h_to, w_to) && dist[to_idx(h_to, w_to)] == dist[to_idx(cur_h, cur_w)]-1){ cur_h = h_to; cur_w = w_to; break; } } ans.push_back(P(cur_h, cur_w)); } return ans; } vector G_rem[1333*1333]; bool used_in_path[1333][1333]; void make_g_rem(){ for(int i = 0; i < h; i++){ for(int j = 0; j < w; j++){ if(s[i][j] == '#') continue; for(int k = 0; k < 4; k++){ int i_to = i+dh[k], j_to = j+dw[k]; if(is_in_field(i_to, j_to) && s[i_to][j_to] == '.'){ if(used_in_path[i][j] && used_in_path[i_to][j_to]) continue; G_rem[to_idx(i, j)].push_back((edge){to_idx(i_to, j_to), 1}); } } } } } // 三箇所と繋がっているところまでの距離 int calc_dist_three(int from){ vector dist(h*w, INF); queue que; dist[from] = 0; que.push(from); while(!que.empty()){ int v = que.front(); que.pop(); int cnt = 0; int i = to_i(v), j = to_j(v); assert(s[i][j] == '.'); for(int k = 0; k < 4; k++){ int i_to = i+dh[k], j_to = j+dw[k]; if(is_in_field(i_to, j_to) && s[i_to][j_to] == '.'){ cnt++; if(dist[to_idx(i_to, j_to)] == INF){ dist[to_idx(i_to, j_to)] = dist[v]+1; que.push(to_idx(i_to, j_to)); } } } if(cnt >= 3){ return dist[v]; } } return INF; } int dist_rem[1333*1333]; void solve(){ for(int i = 0; i < h; i++){ for(int j = 0; j < w; j++){ if(s[i][j] == '#') continue; for(int k = 0; k < 4; k++){ int i_to = i+dh[k], j_to = j+dw[k]; if(is_in_field(i_to, j_to) && s[i_to][j_to] == '.'){ G[to_idx(i, j)].push_back((edge){to_idx(i_to, j_to), 1}); } } } } dijkstra(to_idx(ra, ca), h*w, G, dist); if(dist[to_idx(rb, cb)] == INF){ cout << -1 << endl; return; } vector

path = get_shortest_path(); for(auto p : path){ used_in_path[p.first][p.second] = true; // cout << p.first << ',' << p.second << endl; } make_g_rem(); // dijkstraっぽい感じ int min_diff = INF; priority_queue, greater

> que; fill(dist_rem, dist_rem+h*w, INF); for(auto p : path){ int idx = to_idx(p.first, p.second); dist_rem[idx] = dist[idx]; if(p.first == rb && p.second == cb) continue; que.push(P(dist[idx], idx)); } while(!que.empty()){ P p = que.top();que.pop(); int v = p.second; if(dist_rem[v] < p.first) continue; for(int i = 0; i < G_rem[v].size(); i++){ edge e = G_rem[v][i]; if(dist_rem[v] + e.cost < dist_rem[e.to] && e.to != to_idx(rb, cb)){ dist_rem[e.to] = dist_rem[v] + e.cost; que.push(P(dist_rem[e.to], e.to)); } if(used_in_path[to_i(e.to)][to_j(e.to)] && e.to != to_idx(ra, ca)){ chmin(min_diff, dist_rem[v] + e.cost - dist_rem[e.to]); // cout << to_i(v) << ',' << to_j(v) << ' ' << to_i(e.to) << ',' << to_j(e.to) << endl; } } } assert(min_diff >= 0); int tmp = calc_dist_three(to_idx(ra, ca)); if(tmp != INF) chmin(min_diff, 4*(tmp+1)); tmp = calc_dist_three(to_idx(rb, cb)); if(tmp != INF) chmin(min_diff, 4*(tmp+1)); if(min_diff == INF){ cout << -1 << endl; }else{ cout << 2*dist[to_idx(rb, cb)]+min_diff << endl; } } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; input(); solve(); }