#pragma GCC target("avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include using namespace std; #define rep(i,n) for(int i = 0; i < (int)n; i++) #define FOR(n) for(int i = 0; i < (int)n; i++) #define repi(i,a,b) for(int i = (int)a; i < (int)b; i++) #define pb push_back #define all(x) x.begin(),x.end() //#define mp make_pair #define vi vector #define vvi vector #define vll vector #define vvll vector #define vs vector #define vvs vector #define vc vector #define vvc vector #define pii pair #define pllll pair #define vpii vector> #define vpllll vector> #define vpis vector> #define vplls vector> #define vpsi vector> #define vpsll vector> template void chmax(T &a, const T &b) {a = (a > b? a : b);} template void chmin(T &a, const T &b) {a = (a < b? a : b);} using ll = long long; using ld = long double; using ull = unsigned long long; const ll INF = numeric_limits::max() / 2; const ld pi = 3.1415926535897932384626433832795028; const ll mod = 998244353; int dx[] = {-1, 0, 1, 0, -1, -1, 1, 1}; int dy[] = {0, -1, 0, 1, -1, 1, -1, 1}; #define int long long struct SegmentTree { //functions and values int n, n0; vector max_v, smax_v, max_c; vector min_v, smin_v, min_c; vector sum; vector len, ladd, lval; SegmentTree(int n, bool init = false, vector a = {}) : n(n) { n0 = 1; while(n0 < n) n0 <<= 1; max_v.resize(4 * n0); smax_v.resize(4 * n0); max_c.resize(4 * n0); min_v.resize(4 * n0); smin_v.resize(4 * n0); min_c.resize(4 * n0); sum.resize(4 * n0); len.resize(4 * n0); ladd.resize(4 * n0); lval.resize(4 * n0); for(int i=0; i<2*n0; ++i) ladd[i] = 0, lval[i] = INF; len[0] = n0; for(int i=0; i> 1); for(int i=0; i=0; i--) { update(i); } } void update_node_max(int k, ll x) { sum[k] += (x - max_v[k]) * max_c[k]; if(max_v[k] == min_v[k]) { max_v[k] = min_v[k] = x; } else if(max_v[k] == smin_v[k]) { max_v[k] = smin_v[k] = x; } else { max_v[k] = x; } if(lval[k] != INF && x < lval[k]) { lval[k] = x; } } void update_node_min(int k, ll x) { sum[k] += (x - min_v[k]) * min_c[k]; if(max_v[k] == min_v[k]) { max_v[k] = min_v[k] = x; } else if(smax_v[k] == min_v[k]) { min_v[k] = smax_v[k] = x; } else { min_v[k] = x; } if(lval[k] != INF && lval[k] < x) { lval[k] = x; } } void push(int k) { if(n0-1 <= k) return; if(lval[k] != INF) { updateall(2*k+1, lval[k]); updateall(2*k+2, lval[k]); lval[k] = INF; return; } if(ladd[k] != 0) { addall(2*k+1, ladd[k]); addall(2*k+2, ladd[k]); ladd[k] = 0; } if(max_v[k] < max_v[2*k+1]) { update_node_max(2*k+1, max_v[k]); } if(min_v[2*k+1] < min_v[k]) { update_node_min(2*k+1, min_v[k]); } if(max_v[k] < max_v[2*k+2]) { update_node_max(2*k+2, max_v[k]); } if(min_v[2*k+2] < min_v[k]) { update_node_min(2*k+2, min_v[k]); } } void update(int k) { sum[k] = sum[2*k+1] + sum[2*k+2]; if(max_v[2*k+1] < max_v[2*k+2]) { max_v[k] = max_v[2*k+2]; max_c[k] = max_c[2*k+2]; smax_v[k] = max(max_v[2*k+1], smax_v[2*k+2]); } else if(max_v[2*k+1] > max_v[2*k+2]) { max_v[k] = max_v[2*k+1]; max_c[k] = max_c[2*k+1]; smax_v[k] = max(smax_v[2*k+1], max_v[2*k+2]); } else { max_v[k] = max_v[2*k+1]; max_c[k] = max_c[2*k+1] + max_c[2*k+2]; smax_v[k] = max(smax_v[2*k+1], smax_v[2*k+2]); } if(min_v[2*k+1] < min_v[2*k+2]) { min_v[k] = min_v[2*k+1]; min_c[k] = min_c[2*k+1]; smin_v[k] = min(smin_v[2*k+1], min_v[2*k+2]); } else if(min_v[2*k+1] > min_v[2*k+2]) { min_v[k] = min_v[2*k+2]; min_c[k] = min_c[2*k+2]; smin_v[k] = min(min_v[2*k+1], smin_v[2*k+2]); } else { min_v[k] = min_v[2*k+1]; min_c[k] = min_c[2*k+1] + min_c[2*k+2]; smin_v[k] = min(smin_v[2*k+1], smin_v[2*k+2]); } } void _update_min(ll x, int a, int b, int k, int l, int r) { if(b <= l || r <= a || max_v[k] <= x) { return; } if(a <= l && r <= b && smax_v[k] < x) { update_node_max(k, x); return; } push(k); _update_min(x, a, b, 2*k+1, l, (l+r)/2); _update_min(x, a, b, 2*k+2, (l+r)/2, r); update(k); } void _update_max(ll x, int a, int b, int k, int l, int r) { if(b <= l || r <= a || x <= min_v[k]) { return; } if(a <= l && r <= b && x < smin_v[k]) { update_node_min(k, x); return; } push(k); _update_max(x, a, b, 2*k+1, l, (l+r)/2); _update_max(x, a, b, 2*k+2, (l+r)/2, r); update(k); } void addall(int k, ll x) { max_v[k] += x; if(smax_v[k] != -INF) smax_v[k] += x; min_v[k] += x; if(smin_v[k] != INF) smin_v[k] += x; sum[k] += len[k] * x; if(lval[k] != INF) { lval[k] += x; } else { ladd[k] += x; } } void updateall(int k, ll x) { max_v[k] = x; smax_v[k] = -INF; min_v[k] = x; smin_v[k] = INF; max_c[k] = min_c[k] = len[k]; sum[k] = x * len[k]; lval[k] = x; ladd[k] = 0; } void _add_val(ll x, int a, int b, int k, int l, int r) { if(b <= l || r <= a) { return; } if(a <= l && r <= b) { addall(k, x); return; } push(k); _add_val(x, a, b, 2*k+1, l, (l+r)/2); _add_val(x, a, b, 2*k+2, (l+r)/2, r); update(k); } void _update_val(ll x, int a, int b, int k, int l, int r) { if(b <= l || r <= a) { return; } if(a <= l && r <= b) { updateall(k, x); return; } push(k); _update_val(x, a, b, 2*k+1, l, (l+r)/2); _update_val(x, a, b, 2*k+2, (l+r)/2, r); update(k); } ll _query_max(int a, int b, int k, int l, int r) { if(b <= l || r <= a) { return -INF; } if(a <= l && r <= b) { return max_v[k]; } push(k); ll lv = _query_max(a, b, 2*k+1, l, (l+r)/2); ll rv = _query_max(a, b, 2*k+2, (l+r)/2, r); return max(lv, rv); } ll _query_min(int a, int b, int k, int l, int r) { if(b <= l || r <= a) { return INF; } if(a <= l && r <= b) { return min_v[k]; } push(k); ll lv = _query_min(a, b, 2*k+1, l, (l+r)/2); ll rv = _query_min(a, b, 2*k+2, (l+r)/2, r); return min(lv, rv); } ll _query_sum(int a, int b, int k, int l, int r) { if(b <= l || r <= a) { return 0; } if(a <= l && r <= b) { return sum[k]; } push(k); ll lv = _query_sum(a, b, 2*k+1, l, (l+r)/2); ll rv = _query_sum(a, b, 2*k+2, (l+r)/2, r); return lv + rv; } // range minimize query void update_min(int a, int b, ll x) { _update_min(x, a, b, 0, 0, n0); } // range maximize query void update_max(int a, int b, ll x) { _update_max(x, a, b, 0, 0, n0); } // range add query void add_val(int a, int b, ll x) { _add_val(x, a, b, 0, 0, n0); } // range update query void update_val(int a, int b, ll x) { _update_val(x, a, b, 0, 0, n0); } // range minimum query ll query_max(int a, int b) { return _query_max(a, b, 0, 0, n0); } // range maximum query ll query_min(int a, int b) { return _query_min(a, b, 0, 0, n0); } // range sum query ll query_sum(int a, int b) { return _query_sum(a, b, 0, 0, n0); } vector get_all() { vector ret(n); for(int i = 0; i < n; i++) { ret[i] = query_max(i, i + 1); } return ret; } inline int operator[](int i) { return query_max(i, i + 1); } void print() { for(int i = 0; i < n; i++) { cout << (*this)[i]; if(i != n - 1) cout << ","; } cout << endl; } }; void solve() { int h, w; cin >> h >> w; int sx, sy, gx, gy; cin >> sx >> sy >> gx >> gy; --sx, --sy; --gx, --gy; vector s(h); FOR(h) cin >> s[i]; vvi blocks(h); rep(i, h) { blocks[i].push_back(-1); rep(j, w) { if(s[i][j] == '#') { blocks[i].push_back(j); } } blocks[i].push_back(w); } vector dp(h, SegmentTree(w)); rep(i, h) dp[i].update_val(0, w, INF); vpii seg(w); auto update_segs = [&](int i) -> void { rep(j, w) if(s[i][j] == '.') { auto rit = lower_bound(all(blocks[i]), j); auto lit = --rit; ++rit; chmin(seg[j].first, *lit); chmax(seg[j].second, *rit); } return; }; update_segs(0); dp[0].update_val(seg[sy].first+1, seg[sy].second, 0); rep(i, h-1) { rep(j, w) if(s[i][j] == '.') { if(j > 0 && s[i+1][j-1] == '.') { dp[i+1].update_min(j-1, j, dp[i][j]); } if(j < w-1 && s[i+1][j+1] == '.') { dp[i+1].update_min(j+1, j+2, dp[i][j]); } if(j > 0) dp[i+1].update_min(max(0LL, seg[j-1].first-1), seg[j-1].second+2, dp[i][j]+1); if(j < w-1) dp[i+1].update_min(max(0LL, seg[j+1].first-1), seg[j+1].second+2, dp[i][j]+1); } update_segs(i+1); rep(j, w) if(s[i+1][j] == '#') { dp[i+1].update_val(j, j+1, INF); } rep(j, w) if(s[i+1][j] == '.') { auto rit = lower_bound(all(blocks[i+1]), j); auto lit = --rit; ++rit; dp[i+1].update_min(*lit+1, *rit, dp[i+1].query_min(*lit+1, *rit)); } } if(dp[gx][gy] != INF) cout << dp[gx][gy] << endl; else cout << -1 << endl; // vector ex(w, false); // vvi dp(h, vi(w, INF)); // dp[sx][sy] = 0; // rep(i, h-1) { // rep(j, w) { // if(j > 0 && s[i+1][j-1] == '.') { // chmin(dp[i+1][j-1], dp[i][j]); // } // if(j < w-1 && s[i+1][j+1] == '.') { // chmin(dp[i+1][j+1], dp[i][j]); // } // if((j > 0 && ex[j-1]) || (j < w-1 && ex[j+1])) { // chmin(dp[i+1][j], dp[i][j]+1); // } // if(j > 1 && ex[j-1]) { // chmin(dp[i+1][j-2], dp[i][j]+1); // } // if(j < w-2 && ex[j+1]) { // chmin(dp[i+1][j+2], dp[i][j]+1); // } // } // rep(j, w) { // if(s[i][j] == '.') ex[j] = true; // } // } // if(dp[gx][gy] == INF) cout << -1 << endl; // else cout << dp[gx][gy] << endl; } signed main() { cin.tie(nullptr); ios::sync_with_stdio(false); solve(); return 0; }