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#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

int n, k;
ll p, d, t, c;
const ll m = 1e9 + 7;
int T[3001][3001];
int d_x[] = {-1, 1, 0, 0};
int d_y[] = {0, 0, 1, -1};
vector<pair<int,int> > wolne;

ll counter_p(ll ctr) {
	ll res = 0;
	for(int i = 1; i <= n; i++) {
		for(int j = 1; j <= n; j++) {
			if(T[i][j] == 'w') {
				for(int q = 0; q < 4; q++) {
					if(1 <= i + d_x[q] && i + d_x[q] <= n) {
						if(1 <= j + d_y[q] && j + d_y[q] <= n) {
							if(T[i + d_x[q]][j + d_y[q]] == 'k') {
								T[i][j] = 'p';
							}
						}
					}
				}
			}
			if(T[i][j] == ctr) res++;
		}
	}
	return res;
}

ll counter_d(ll ctr) {
	ll res = 0;
	for(int i = 1; i <= n; i++) {
		for(int j = 1; j <= n; j++) {
			if(T[i][j] == 'w') {
				for(int q = 0; q < 4; q++) {
					if(1 <= i + d_x[q] && i + d_x[q] <= n) {
						if(1 <= j + d_y[q] && j + d_y[q] <= n) {
							if(T[i + d_x[q]][j + d_y[q]] == 'p') {
								T[i][j] = 'd';
							}
						}
					}
				}
			}
			if(T[i][j] == ctr) res++;
		}
	}
	return res;
}

ll counter_t(ll ctr) {
	ll res = 0;
	for(int i = 1; i <= n; i++) {
		for(int j = 1; j <= n; j++) {
			if(T[i][j] == 'w') {
				for(int q = 0; q < 4; q++) {
					if(1 <= i + d_x[q] && i + d_x[q] <= n) {
						if(1 <= j + d_y[q] && j + d_y[q] <= n) {
							if(T[i + d_x[q]][j + d_y[q]] == 'd' || T[i + d_x[q]][j + d_y[q]] == 't'+1) {
								T[i][j] = 't';
							}
						}
					}
				}
			}
			if(T[i][j] == 'd') {
				for(int q = 0; q < 4; q++) {
					if(1 <= i + d_x[q] && i + d_x[q] <= n) {
						if(1 <= j + d_y[q] && j + d_y[q] <= n) {
							if(T[i + d_x[q]][j + d_y[q]] == 'd' || T[i + d_x[q]][j + d_y[q]] == 't'+1) {
								T[i][j] = 't'+1;
							}
						}
					}
				}
			}
			if(T[i][j] == ctr) res++;
		}
	}
	return res;
}

ll sumaTakichZePiD() {
	ll res = 0;
	for(int i = 1; i <= n; i++) {
		for(int j = 1; j <= n; j++) {
			if(T[i][j] == 'p') {
				for(int q = 0; q < 4; q++) {
					if(1 <= i + d_x[q] && i + d_x[q] <= n) {
						if(1 <= j + d_y[q] && j + d_y[q] <= n) {
							if(T[i + d_x[q]][j + d_y[q]] == 'd' || T[i + d_x[q]][j + d_y[q]] == 't'+1) {
								res++;
								res%=m;
							}
						}
					}
				}
			}
		}
	}
	return res%m;
}

ll sumaIloczynowD() {
	ll res = 0;
	for(int i = 1; i <= n; i++) {
		for(int j = 1; j <= n; j++) {
			if(T[i][j] == 'p') {
				ll tmp = 0;
				for(int q = 0; q < 4; q++) {
					if(1 <= i + d_x[q] && i + d_x[q] <= n) {
						if(1 <= j + d_y[q] && j + d_y[q] <= n) {
							if(T[i + d_x[q]][j + d_y[q]] == 'd' || T[i + d_x[q]][j + d_y[q]] == 't'+1) {
								tmp++;
							}
						}
					}
				}
				res += ((((tmp%m)*((tmp-1)%m))%m)*500000004)%m;
			}
		}
	}
	return res%m;
}

ll sumaTakichAAB() {
	ll res = 0;
	for(int i = 1; i <= n; i++) {
		for(int j = 1; j <= n; j++) {
			if(T[i][j] == 'd' || T[i][j] == 't'+1) {
				ll tmp = 0;
				for(int q = 0; q < 4; q++) {
					if(1 <= i + d_x[q] && i + d_x[q] <= n) {
						if(1 <= j + d_y[q] && j + d_y[q] <= n) {
							if(T[i + d_x[q]][j + d_y[q]] == 'p') {
								tmp++;
							}
						}
					}
				}
				res += ((((tmp%m)*((tmp-1)%m))%m)*500000004)%m;
				res += ((tmp%m)*((m+p-tmp)%m))%m;
			}
		}
	}
	return res%m;
}

ll ileTychT() {
	ll res = 0;
	for(int i = 1; i <= n; i++) {
		for(int j = 1; j <= n; j++) {
			if(T[i][j] == 'p') {
				for(int q = 0; q < 4; q++) {
					if(1 <= i + d_x[q] && i + d_x[q] <= n) {
						if(1 <= j + d_y[q] && j + d_y[q] <= n) {
							if(T[i + d_x[q]][j + d_y[q]] == 'd' || T[i + d_x[q]][j + d_y[q]] == 't'+1) {
								for(int h = 0; h < 4; h++) {
									if(1 <= i + d_x[q] + d_x[h] && i + d_x[q] + d_x[h] <= n) {
										if(1 <= j + d_y[q] + d_y[h] && j + d_y[q] + d_y[h] <= n) {
											if(T[i + d_x[q] + d_x[h]][j + d_y[q] + d_y[h]] == 't' || T[i + d_x[q] + d_x[h]][j + d_y[q] + d_y[h]] == 't'+1) {
												res++;
												res%=m;
											}
										}
									}
								}
							}
						}
					}
				}
			}
		}
	}
	return res%m;
}

ll brutDlaK4(){
	ll res = 0;
	for(int a1 = 0; a1 < (int)wolne.size(); a1++) {
		for(int b1 = a1+1; b1 < (int)wolne.size(); b1++) {
			for(int c1 = b1+1; c1 < (int)wolne.size(); c1++) {
				for(int d1 = c1+1; d1 < (int)wolne.size(); d1++) {
					int tab[] = {a1,b1,c1,d1};
					bool ok = false;
					do {
						pair<int,int> a = wolne[tab[0]];
						pair<int,int> b = wolne[tab[1]];
						pair<int,int> c = wolne[tab[2]];
						pair<int,int> d = wolne[tab[3]];
						
						ll saOK = 0;
						for(int q = 0; q < 4; q++) {
							if(1 <= a.first + d_x[q] && a.first + d_x[q] <= n) {
								if(1 <= a.second + d_y[q] && a.second + d_y[q] <= n) {
									if(T[a.first + d_x[q]][a.second + d_y[q]] == 'k') {
										T[a.first][a.second]='k';
										saOK++; break;
									}
								}
							}
						}	
						for(int q = 0; q < 4; q++) {
							if(1 <= b.first + d_x[q] && b.first + d_x[q] <= n) {
								if(1 <= b.second + d_y[q] && b.second + d_y[q] <= n) {
									if(T[b.first + d_x[q]][b.second + d_y[q]] == 'k') {
										T[b.first][b.second]='k';
										saOK++; break;
									}
								}
							}
						}	
						for(int q = 0; q < 4; q++) {
							if(1 <= c.first + d_x[q] && c.first + d_x[q] <= n) {
								if(1 <= c.second + d_y[q] && c.second + d_y[q] <= n) {
									if(T[c.first + d_x[q]][c.second + d_y[q]] == 'k') {
										T[c.first][c.second]='k';
										saOK++; break;
									}
								}
							}
						}	
						for(int q = 0; q < 4; q++) {
							if(1 <= d.first + d_x[q] && d.first + d_x[q] <= n) {
								if(1 <= d.second + d_y[q] && d.second + d_y[q] <= n) {
									if(T[d.first + d_x[q]][d.second + d_y[q]] == 'k') {
										T[d.first][d.second]='k';
										saOK++; break;
									}
								}
							}
						}	
						if(saOK == 4) {
							ok = true;
							res++;
							res%=m;
						}
						T[a.first][a.second] = T[b.first][b.second] = T[c.first][c.second] = T[d.first][d.second] = 'w';
					} while(std::next_permutation(tab,tab+4) && ok == false);
				}
			}
		}
	}
	
	return res;
}

int main() {
	ios_base::sync_with_stdio(false);
	cin >> n >> k;
	
	for(int i = 1; i <= n; i++) {
		for(int j = 1; j <= n; j++) {
			char c; cin >> c;
			if(c == '.') T[i][j] = 'w';
			else T[i][j] = 'k';
		}
	}
	
	if(k == 4) {
		for(int i = 1; i <= n; i++) {
			for(int j = 1; j <= n; j++) {
				if(T[i][j] == 'w') wolne.push_back(make_pair(i, j));
			}
		}
		cout << brutDlaK4() << endl;
		return 0;
	}
	
	p = counter_p('p');
	d = counter_d('d');
	t = counter_t('t');
	
	if(k == 1) {
		cout << p % m << endl;
	} else if(k == 2) {
		ll sameP = ((((p%m)*((m+p-1)%m))%m)*500000004)%m;
		cout << (sameP%m + sumaTakichZePiD()%m) % m << endl;
	} else if(k == 3) {
		ll sameP = (((((p%m)*((m+p-1)%m))%m*((m+p-2)%m))%m)*166666668)%m;
		cout << (((sameP%m + sumaTakichAAB()%m)%m + sumaIloczynowD()%m)%m + ileTychT()%m)%m << endl;
	} 
	
	return 0;
}