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 long long ll;
typedef pair<ll,ll> ii;
const ll MAXN=6e6+5;
ll a[MAXN];
ll n,m,k;
ll cv(ii x){return m*x.fst+x.snd;}
ii cv(ll x){return {x/m,x%m};}
vector<ii>dir={{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(ii p){
auto [i,j]=p;
if(i<0||i>=n||j<0||j>=m)return 0;
return 1;
}
ll d[MAXN],vis[MAXN];
deque<pair<ii,ll>>q;
set<ll>r[MAXN],c[MAXN];
vector<ii>pop;
void go(ii x, ii y, ll g){
if(vis[cv(y)])return;
d[cv(y)]=d[cv(x)]+g;
q.push_front({y,0});
vis[cv(y)]=1;
pop.pb(y);
}
void popit(){
for(auto [i,j]:pop)r[i].erase(j),c[j].erase(i);
pop.clear();
}
ll reach(ii x, ii 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(ii s, ii e){
mset(d,-1);
d[cv(s)]=0;
q.push_front({s,0});
while(SZ(q)){
auto [x,g]=q.front(); q.pop_front();
if(!g){
for(auto add:dir){
auto y=x+add;
if(!allowed(y)||(!g&&a[cv(y)]))continue;
go(x,y,0);
popit();
}
q.pb({x,1});
}
else {
auto [i,j]=x;
if(reach(x,e))go(x,e,1);
if(i-k>=0)
for(auto it=r[i-k].upper_bound(j-k);
it!=r[i-k].end()&&*it<j+k;it++)go(x,{i-k,*it},1);
if(i+k<n)
for(auto it=r[i+k].upper_bound(j-k);
it!=r[i+k].end()&&*it<j+k;it++)go(x,{i+k,*it},1);
if(j-k>=0)
for(auto it=c[j-k].upper_bound(i-k);
it!=c[j-k].end()&&*it<i+k;it++)go(x,{*it,j-k},1);
if(j+k<m)
for(auto it=c[j+k].upper_bound(i-k);
it!=c[j+k].end()&&*it<i+k;it++)go(x,{*it,j+k},1);
popit();
}
}
return d[cv(e)];
}
int main(){FIN;
cin>>n>>m>>k;
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].insert(j),c[j].insert(i);
cout<<bfs(s,e)<<"\n";
return 0;
}
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