#include <bits/stdc++.h> using namespace std; int inf = 1e9; using SS = int; class DualSegmentTree{ //作用させるものの交換法則が成り立つ時&&lazy->lazyとlazy->datの作用が同じ時専用. //出来ないときは遅延セグ木 出来たとしても改良必須あり. public: int siz = 1; vector<SS> dat; void mapping(SS f,SS &x){x = min(f,x);} //FF composition(FF f, FF g){mappingと同じ?} チェック. SS e(){return inf;} void make(int N){ while(siz < N) siz *= 2; dat.resize(siz*2,e()); } void make2(int N,vector<SS> &A){ make(N); for(int i=0; i<N; i++) dat.at(i+siz) = A.at(i); } void update(int l,int r,SS x){ l += siz,r += siz; while(l < r){ if(l&1) mapping(x,dat.at(l)),l++; if(r&1) r--,mapping(x,dat.at(r)); l >>= 1; r >>= 1; } } SS get(int pos){ pos = pos+siz; SS ret = dat.at(pos); while(pos != 1){ pos = pos/2; mapping(dat.at(pos),ret); } return ret; } }; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int H,W; cin >> H >> W; vector<string> S(H); for(auto &s : S) cin >> s; reverse(S.begin(),S.end()); vector<vector<int>> toL(H,vector<int>(W)),toR(H,vector<int>(W,W)); for(int i=0; i<H; i++){ for(int k=0; k<W; k++){ if(S.at(i).at(k) == '#') toL.at(i).at(k) = k+1; else if(k) toL.at(i).at(k) = toL.at(i).at(k-1); } for(int k=W-1; k>=0; k--){ if(S.at(i).at(k) == '#') toR.at(i).at(k) = k; else if(k != W-1) toR.at(i).at(k) = toR.at(i).at(k+1); } } vector<DualSegmentTree> dist(H); for(auto &d : dist) d.make(W); dist.at(0).update(0,W,0); for(int i=0; i<H-1; i++){ for(int k=0; k<W; k++){ if(S.at(i).at(k) == '#') continue; int now = dist.at(i).get(k); int l = max(toL.at(i+1).at(k),k-now),r = min(toR.at(i+1).at(k),k+now+1); dist.at(i+1).update(l,r,now); } vector<int> next(W); priority_queue<pair<int,int>,vector<pair<int,int>>,greater<pair<int,int>>> Q; for(int k=0; k<W; k++){ next.at(k) = dist.at(i+1).get(k); if(next.at(k) != inf) Q.push({next.at(k),k}); } vector<bool> used(W); while(Q.size()){ auto [nowd,pos] = Q.top(); Q.pop(); if(used.at(pos)) continue; used.at(pos) = true; if(pos) if(S.at(i+1).at(pos-1) == '.' && next.at(pos-1) > nowd+1){ next.at(pos-1) = nowd+1; Q.push({nowd+1,pos-1}); } if(pos != W-1) if(S.at(i+1).at(pos+1) == '.' && next.at(pos+1) > nowd+1){ next.at(pos+1) = nowd+1; Q.push({nowd+1,pos+1}); } } DualSegmentTree change; change.make2(W,next); dist.at(i+1) = change; } for(int i=0; i<W; i++) cout << dist.back().get(i) << endl; }