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#include <bits/stdc++.h>
#define INF 0x3F3F3F3F
using namespace std;
int cx[4] = {1, -1, 0, 0};
int cy[4] = {0, 0, 1, -1};
char mainMap[2000][2000];
bool reachable[2000][2000];
int beeDistance[2000][2000];
int n, s,dx, dy, mx, my;
bool test(int delay)
{
if (delay * s >= beeDistance[mx][my]) return false;
memset(reachable, 0, sizeof(reachable));
deque<pair<int, pair<int, int> > > q;
q.push_back(make_pair(delay * s, make_pair(mx, my)));
reachable[mx][my] = true;
while (!q.empty())
{
int distance = q.front().first;
int x = q.front().second.first;
int y = q.front().second.second;
q.pop_front();
if (mainMap[x][y] == 'D') return true;
for (int c = 0; c < 4; c++)
{
int nx = x + cx[c];
int ny = y + cy[c];
if (nx < 0 || nx >= n || ny < 0 || ny >= n || mainMap[nx][ny] == 'T' || (distance + 1) >= beeDistance[nx][ny] || reachable[nx][ny]) continue;
q.push_back(make_pair(distance + 1, make_pair(nx, ny)));
reachable[nx][ny] = true;
}
}
return false;
}
int main()
{
int cases;
cin>>cases;
while(cases--)
{
cin>>n>>s;
deque<pair<int, int> > bq;
memset(beeDistance, -1, sizeof(beeDistance));
for (int i = 0; i < n; i++)
{
cin >> ws;
for (int j = 0; j < n; j++)
{
cin >> mainMap[i][j];
if (mainMap[i][j] == 'H')
{
bq.push_back(make_pair(i, j));
beeDistance[i][j] = 0;
}
else if (mainMap[i][j] == 'M')
{
mx = i;
my = j;
mainMap[i][j] = 'G';
}
else if (mainMap[i][j] == 'D')
{
dx = i;
dy = j;
}
}
}
//Tiempo de las abejas llegar a otro sitio
while (!bq.empty())
{
int x = bq.front().first;
int y = bq.front().second;
bq.pop_front();
for (int c = 0; c < 4; c++)
{
int nx = x + cx[c];
int ny = y + cy[c];
if (nx < 0 || nx >= n || ny < 0 || ny >= n || mainMap[nx][ny] != 'G' || beeDistance[nx][ny] != -1) continue;
beeDistance[nx][ny] = beeDistance[x][y] + s;
bq.push_back(make_pair(nx, ny));
}
}
//A su casa INF tiempo
beeDistance[dx][dy] = INF;
int low = -1, high = n * n;
while (high - low > 1)
{
int mid = (low + high)/2;
if (test(mid))
low = mid;
else
high = mid;
}
cout << low << '\n';
}
return 0;
}
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