//#pragma GCC optimize("O3,unroll-loops,Ofast")
//#pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt")
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
using namespace std;
// using namespace __gnu_pbds;
#define MAX 200005
#define pb push_back
// #define mp make_pair
// #define int long long
#define f first
#define s second
#define vi vector<int>
#define pii pair<int,int>
#define si set<int>
#define vpii vector<pair<int,int>>
const int mod = 1e9+7;
const double INF = 1e9;
// myMap.begin()->first : key
// myMap.begin()->second : value
int epow(int a,int b){int ans=1;while(b){if(b&1) ans*=a;a*=a;b>>=1;ans%=mod;a%=mod;}return ans%mod;}
int gcd(int a,int b) {if(a<b)swap(a,b);while(b){int tmp=b;b=a%b;a=tmp;}return a;}
int mul(int a,int b){return ((a%mod)*(b%mod))%mod;}
int sum(int a,int b){return ((a%mod)+(b%mod))%mod;}
//typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update>ordered_set;
// typedef
// tree<int,null_type,less_equal<int>,rb_tree_tag,tree_order_statistics_node_update>ordered_multiset;
int dx[]={1,0,-1,0};
int dy[]={0,1,0,-1};
vector<vector<char>> grid(805,vector<char>(805));
vector<vi> d(805,vi(805,INF));
int n,S;
bool valid(int x,int y){
if(x<=0 || y<=0 || x>n || y>n || grid[x][y]=='T') return false;
return true;
}
void solve(){
cin>>n>>S;
pii start,end; vpii hives;
for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++){
cin>>grid[i][j];
if(grid[i][j]=='M') start={i,j},grid[i][j]='G';
if(grid[i][j]=='D') end={i,j};
if(grid[i][j]=='H') hives.pb({i,j});
}
}
queue<pii> q;
for(auto u : hives) q.push({u.f,u.s}),d[u.f][u.s]=0;
while(q.size()){
pii node=q.front(); q.pop();
for(int i=0;i<4;i++){
int x=node.f+dx[i], y=node.s+dy[i];
if(!valid(x,y) || grid[x][y]!='G' || d[x][y]!=INF) continue;
d[x][y]=d[node.f][node.s]+1; q.push({x,y});
}
}
// for(int i=1;i<=n;i++){
// for(int j=1;j<=n;j++) cout<<d[i][j]<<" ";cout<<endl;
// }
int l=0,r=650000,sayac;
while(l<=r){
int mid=(l+r)>>1;
vector<vi> dist(n+5,vi(n+5,INF)); q=queue<pii>(); q.push(start); dist[start.f][start.s]=0;
while(q.size()){
pii node=q.front(); q.pop();
for(int i=0;i<4;i++){
int x=node.f+dx[i], y=node.s+dy[i];
if(!valid(x,y) || grid[x][y]!='G' || dist[x][y]!=INF) continue;
int timer=(dist[node.f][node.s]+1)/S+mid;
if( timer>=d[x][y] ) continue;
dist[x][y]=dist[node.f][node.s]+1; q.push({x,y});
}
}
bool flag=false;
for(int i=0;i<4;i++){
int x=end.f+dx[i], y=end.s+dy[i];
if(dist[x][y]!=INF) flag=1;
}
if(flag) l=mid+1,sayac++;
else r=mid-1;
}
if(sayac && r<=640000) cout<<r<<endl;
else cout<<"-1\n";
}
int32_t main(/*int32_t argc, char* argv[]*/){
std::ios_base::sync_with_stdio(0); std::cin.tie(0);
// freopen("atlarge.in", "r", stdin);
// freopen("atlarge.out", "w", stdout);
int t=1;
// cin >> t;
while (t--) solve();
return 0;
}
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