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>
using namespace std;
// #define int long long
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define isz(x) ((int)(x).size())
#define sumof(x) accumulate(all(x), 0ll)
const int dx[]={1, -1, 0, 0, 1, 1, -1, -1}, dy[]={0, 0, 1, -1, 0, 1, -1, 1, -1};
int n, r, c;
int sr, sc, gr, gc;
void solve(){
cin >> r >> c >> n;
cin >> sr >> sc >> gr >> gc;
vector<vector<char>> a(r+1, vector<char>(c+1));
vector<vector<int>> dist(r+1, vector<int>(c+1, 1e9));
for (int i=1; i<=r; ++i) for (int j=1; j<=c; ++j) cin >> a[i][j];
vector<pair<int, int>> roots{{sr, sc}};
auto bfs_white=[&](int distance){
queue<pair<int, int>> q;
for (auto &i:roots) q.emplace(i.first, i.second), dist[i.first][i.second]=distance;
roots.clear();
while (q.size()){
int u=q.front().first, v=q.front().second;
q.pop();
for (int i=0; i<4; ++i){
int x=u+dx[i], y=v+dy[i];
if (x<1 || y<1 || x>r || y>c || dist[x][y]<1e9) continue;
if (a[x][y]=='.'){
dist[x][y]=distance;
q.emplace(x, y);
}else{
roots.emplace_back(x, y);
}
}
}
};
auto bfs_black=[&](int distance){
queue<pair<pair<int, int>, int>> q;
for (auto &i:roots) q.push({i, 0});
roots.clear();
while (q.size()){
int u=q.front().first.first, v=q.front().first.second, d=q.front().second;
q.pop();
if (d==3) continue;
if ((d&1)==0){
for (int i=2; i<4; ++i){
int x=u, y=v;
for (int j=1; j<=n; ++j){
if (x<1 || y<1 || x>r || y>c) break;
if (dist[x][y]<=distance-1) continue;
if (dist[x][y]!=distance){
dist[x][y]=distance;
roots.emplace_back(x, y);
q.push({{x, y}, d|1});
}
x+=dx[i];
y+=dy[i];
}
}
}
if ((d&2)==0){
for (int i=0; i<2; ++i){
int x=u, y=v;
for (int j=1; j<=n; ++j){
if (x<1 || y<1 || x>r || y>c) break;
if (dist[x][y]<=distance-1) continue;
if (dist[x][y]!=distance){
dist[x][y]=distance;
roots.emplace_back(x, y);
q.push({{x, y}, d|2});
}
x+=dx[i];
y+=dy[i];
}
}
}
}
};
int cur=0;
while (dist[gr][gc]>=1e9){
bfs_white(cur);
bfs_black(++cur);
}
cout << dist[gr][gc];
}
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int ntests=1;
// cin >> ntests;
for (int i=1; i<=ntests; ++i) solve();
return 0;
}
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