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>
#define pb push_back
#define fst first
#define snd second
#define fore(i,a,b) for(ll i=a,ggdem=b;i<ggdem;++i)
#define SZ(x) ((int)x.size())
#define ALL(x) x.begin(),x.end()
#define mset(a,v) memset((a),(v),sizeof(a))
#define FIN ios::sync_with_stdio(0);cin.tie(0);cout.tie(0)
#define imp(v) for(auto edu:v)cout<<edu<<" "; cout<<"\n"
using namespace std;
typedef int ll;
typedef unsigned long long ull;
typedef pair<ll,ll> ii;
#pragma GCC optimize("Ofast") // may lead to precision errors
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
const ll MAXN=6e6+5,R=2500;
ll a[MAXN];
ll n,m,k;
ii mem[MAXN];
vector<vector<ll>>mem2;
//inline ll cv(ii x){return m*x.fst+x.snd;}
//inline ii cv(ll x){return {x/m,x%m};}
inline ll cv(ii x){return mem2[x.fst][x.snd];}
inline ii cv(ll x){return mem[x];}
vector<ll>dir;
//vector<ii>diir={{0,1},{-1,0},{0,-1},{1,0}};
//ii operator+(ii a, ii b){return {a.fst+b.fst,a.snd+b.snd};}
//void operator+=(ii &a, ii b){a=a+b;}
bool allowed(ll x, ll w){
auto [i,j]=cv(x);
if(w==0&&j>=m-1)return 0;
if(w==1&&i<=0)return 0;
if(w==2&&j<=0)return 0;
if(w==3&&i>=n-1)return 0;
return 1;
}
ll d[MAXN],vis[MAXN];
deque<pair<ll,bool>>q;
//set<ll>r[MAXN],c[MAXN];
const ll W=64;
struct my_bitset{
vector<ull>bs; int n;
my_bitset(int n):bs((n+W)/W),n(n){}
void flip(int p){bs[p/W]^=1ull<<(p%W);}
int _Find_next(int p){
++p;
ll i=p/W;
ull bl=bs[i];
bl&=(~0ull)<<(p%W);
if(bl)return i*W+__builtin_ctzl(bl);
i++;
for(;i<SZ(bs);i++){
bl=bs[i];
if(bl)return i*W+__builtin_ctzl(bl);
}
return n;
}
};
vector<my_bitset> r,c;
vector<ll>pop;
void go(ll x, ll y, ll g){
if(vis[y])return;
d[y]=d[x]+g;
q.push_front({y,0});
vis[y]=1;
pop.pb(y);
}
void popit(){
for(auto x:pop){
auto [i,j]=cv(x);
r[i].flip(j);
c[j].flip(i);
}
pop.clear();
}
ll reach(ll _x, ll _e){
ii x=cv(_x),e=cv(_e);
return (max(abs(x.fst-e.fst),abs(x.snd-e.snd))<=k&&
abs(x.fst-e.fst)+abs(x.snd-e.snd)<2*k);
}
ll bfs(ll s, ll e){
mset(d,-1);
d[s]=0;
q.push_front({s,0});
while(SZ(q)){
auto [x,g]=q.front(); q.pop_front();
if(!g){
fore(w,0,4){
auto y=x+dir[w];
if(!allowed(x,w)||(!g&&a[y]))continue;
go(x,y,0);
popit();
}
q.pb({x,1});
}
else {
auto [i,j]=cv(x);
if(reach(x,e)){
go(x,e,1);
return d[e];
}
if(i-k>=0)
for(ll it=(j-k<0?0:r[i-k]._Find_next(j-k));it<m&&it<j+k;
it=r[i-k]._Find_next(it))go(x,cv({i-k,it}),1);
if(i+k<n)
for(ll it=(j-k<0?0:r[i+k]._Find_next(j-k));it<m&&it<j+k;
it=r[i+k]._Find_next(it))go(x,cv({i+k,it}),1);
if(j-k>=0)
for(ll it=(i-k<0?0:c[j-k]._Find_next(i-k));it<n&&it<i+k;
it=c[j-k]._Find_next(it))go(x,cv({it,j-k}),1);
if(j+k<m)
for(ll it=(i-k<0?0:c[j+k]._Find_next(i-k));it<n&&it<i+k;
it=c[j+k]._Find_next(it))go(x,cv({it,j+k}),1);
popit();
}
}
return d[e];
}
int main(){FIN;
cin>>n>>m>>k;
mem2.resize(n,vector<ll>(m));
r.resize(n,my_bitset(m)),c.resize(m,my_bitset(n));
fore(i,0,n)fore(j,0,m){
mem2[i][j]=m*i+j;
mem[m*i+j]={i,j};
}
dir={1,-m,-1,m};
ii s,e; cin>>s.fst>>s.snd>>e.fst>>e.snd; s.fst--,s.snd--,e.fst--,e.snd--;
fore(i,0,n*m){
char c; cin>>c;
a[i]=(c=='#');
}
fore(i,0,n)fore(j,0,m)r[i].flip(j),c[j].flip(i);
cout<<bfs(cv(s),cv(e))<<"\n";
return 0;
}
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