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#include <iostream>
#include <cstdio>
#include <cmath>
#include <vector>
#include <algorithm>
#include <string>

using namespace std;

char c[3001][3001];
bool added[3001][3001];

int main()
{
	ios_base::sync_with_stdio(0);
	cin.tie(0);

	int n, k;
	cin >> n >> k;

	string s;
	for (int i = 0; i < n; i++)
	{
		cin >> s;
		for (int j = 0; j < n; j++)
			c[i][j] = s[j];
		//fgets(c[i], n + 2, stdin);
	}

	vector<pair<int, int> > ones, twos, threes, v;
	int twosWays = 0, threesWays = 0, onesToTwos = 0, onesWithTwos = 0;

	int d1[4] = { -1,1,0,0 };
	int d2[4] = { 0,0,-1,1 };

	//--przypisywanie jedynek--
	for (int i = 0; i < n; i++)
		for (int j = 0; j < n; j++)
		{
			if (c[i][j] == '#')
			{
				for (int di = 0; di < 4; di++)
					if (i + d1[di] >= 0 && i + d1[di] < n && j + d2[di] >= 0 && j + d2[di] < n && c[i + d1[di]][j + d2[di]] == '.')
					{
						ones.push_back(make_pair(i + d1[di], j + d2[di]));
						v.push_back(make_pair(i + d1[di], j + d2[di]));
						c[i + d1[di]][j + d2[di]] = '1';
					}
			}
		}

	if (k == 1)
	{
		printf("%d\n", ones.size());
		return 0;
	}

	//--przypisywanie dwójek--
	for (int i = 0; i < ones.size(); i++)
	{
		int howManyTwos = 0;
		for (int di = 0; di < 4; di++)
			if (ones[i].first + d1[di] >= 0 && ones[i].first + d1[di] < n && ones[i].second + d2[di] >= 0 && ones[i].second + d2[di] < n)
			{
				if (c[ones[i].first + d1[di]][ones[i].second + d2[di]] == '.')
				{
					howManyTwos++;
					twos.push_back(make_pair(ones[i].first + d1[di], ones[i].second + d2[di]));
					c[ones[i].first + d1[di]][ones[i].second + d2[di]] = '2';
					twosWays++;
				}
				else if (c[ones[i].first + d1[di]][ones[i].second + d2[di]] == '2')
				{
					twosWays++;
					howManyTwos++;
				}
			}

		if (howManyTwos == 2)
			onesToTwos++;
		if (howManyTwos == 3)
			onesToTwos += 3;
		if (howManyTwos == 4)
			onesToTwos += 6;
	}

	long long int mod = 1000 * 1000 * 1000 + 7;
	if (k == 2)
	{
		long long int oSize = ones.size();
		long long int result = ((oSize * (oSize - 1) / 2) % mod + twosWays) % mod;
		cout << result << endl;
		return 0;
	}

	//--przypisywanie trójek--
	for (int i = 0; i < twos.size(); i++)
	{
		int twoWaysLocal = 0;
		for (int di = 0; di < 4; di++)
			if (twos[i].first + d1[di] >= 0 && twos[i].first + d1[di] < n && twos[i].second + d2[di] >= 0 && twos[i].second + d2[di] < n)
				if (c[twos[i].first + d1[di]][twos[i].second + d2[di]] == '1')
					twoWaysLocal++;

		if (twoWaysLocal == 2)
			onesWithTwos++;
		if (twoWaysLocal == 3)
			onesWithTwos += 3;
		if (twoWaysLocal == 4)
			onesWithTwos += 6;

		for (int di = 0; di < 4; di++)
			if (twos[i].first + d1[di] >= 0 && twos[i].first + d1[di] < n && twos[i].second + d2[di] >= 0 && twos[i].second + d2[di] < n)
			{
				if (c[twos[i].first + d1[di]][twos[i].second + d2[di]] == '.')
				{
					threes.push_back(make_pair(twos[i].first + d1[di], twos[i].second + d2[di]));
					c[twos[i].first + d1[di]][twos[i].second + d2[di]] = '3';
					threesWays += twoWaysLocal;
				}
				else if (c[twos[i].first + d1[di]][twos[i].second + d2[di]] == '3')
					threesWays += twoWaysLocal;
			}
	}

	/*for (int i = 0; i < n; i++)
	{
	for (int j = 0; j < n; j++)
	cout << c[i][j];
	cout << endl;
	}*/

	if (k == 3)
	{
		//cout << ones.size() << endl;
		//cout << threesWays << endl;
		//cout << onesToTwos << endl;
		//cout << twosWays << endl;
		//cout << onesWithTwos << endl;

		long long int oSize = ones.size();
		long long int a = oSize, b = oSize - 1, c = oSize - 2;
		if (a % 3 == 0)
			a /= 3;
		else if (b % 3 == 0)
			b /= 3;
		else
			c /= 3;

		if (a % 2 == 0)
			a /= 2;
		else if (b % 2 == 0)
			b /= 2;
		else
			c /= 2;

		long long int tw = twosWays;

		long long int result = (((a*b) % mod) * c) % mod; //same jedynki
		result = (result + threesWays) % mod; //jedynka, dwójka i trójka
		result = (result + onesToTwos) % mod; //jedynka, dwie dwójki
		result = (result + (tw * (oSize - 1) - onesWithTwos) % mod) % mod; //dwie jedynki i dwójka

		cout << result << endl;
		return 0;
	}


	//k == 4
	for (int i = 0; i < n; i++)
		for (int j = 0; j < n; j++)
			added[i][j] = false;

	long long int result = 0;

	for (int i1 = 0; i1 < v.size(); i1++)
	{
		//dodanie dwójek, do których można dojść z v[i1]
		int v1AddedNumbers = 0;
		for (int di = 0; di < 4; di++)
			if (v[i1].first + d1[di] >= 0 && v[i1].first + d1[di] < n && v[i1].second + d2[di] >= 0 && v[i1].second + d2[di] < n)
			{
				if (c[v[i1].first + d1[di]][v[i1].second + d2[di]] == '2')
				{
					v.push_back(make_pair(v[i1].first + d1[di], v[i1].second + d2[di]));
					added[v[i1].first + d1[di]][v[i1].second + d2[di]] = true;
					v1AddedNumbers++;

				}
			}

		for (int i2 = i1 + 1; i2 < v.size(); i2++)
		{
			int v2AddedNumbers = 0;
			for (int di = 0; di < 4; di++)
				if (v[i2].first + d1[di] >= 0 && v[i2].first + d1[di] < n && v[i2].second + d2[di] >= 0 && v[i2].second + d2[di] < n)
				{
					if (c[v[i2].first + d1[di]][v[i2].second + d2[di]] == c[v[i2].first][v[i2].second] + 1 && !added[v[i2].first + d1[di]][v[i2].second + d2[di]])
					{
						v.push_back(make_pair(v[i2].first + d1[di], v[i2].second + d2[di]));
						added[v[i2].first + d1[di]][v[i2].second + d2[di]] = true;
						v2AddedNumbers++;
					}
				}

			if (k == 4)
			{
				for (int i3 = i2 + 1; i3 < v.size(); i3++)
				{
					int v3AddedNumbers = 0;
					for (int di = 0; di < 4; di++)
						if (v[i3].first + d1[di] >= 0 && v[i3].first + d1[di] < n && v[i3].second + d2[di] >= 0 && v[i3].second + d2[di] < n)
						{
							if (c[v[i3].first + d1[di]][v[i3].second + d2[di]] == c[v[i3].first][v[i3].second] + 1 && !added[v[i3].first + d1[di]][v[i3].second + d2[di]])
							{
								v.push_back(make_pair(v[i3].first + d1[di], v[i3].second + d2[di]));
								added[v[i3].first + d1[di]][v[i3].second + d2[di]] = true;
								v3AddedNumbers++;
							}
						}

					result = (result + (v.size() - i3 - 1)) % mod;

					for (int i = 0; i < v3AddedNumbers; i++)
					{
						added[v[v.size() - 1].first][v[v.size() - 1].second] = false;
						v.pop_back();
					}
				}

			}
			else //k==3
			{
				/*for (int i3 = i2 + 1; i3 < v.size(); i3++)
				{
				cout << c[v[i1].first][v[i1].second] //<< "(" << v[i1].first << "," << v[i1].second << ")" << " "
				<< c[v[i2].first][v[i2].second] //<< "(" << v[i2].first << "," << v[i2].second << ")" << " "
				<< c[v[i3].first][v[i3].second] << endl; //<< "(" << v[i3].first << "," << v[i3].second << ")" << endl;
				}*/

				result = (result + (v.size() - i2 - 1)) % mod;
			}

			for (int i = 0; i < v2AddedNumbers; i++)
			{
				added[v[v.size() - 1].first][v[v.size() - 1].second] = false;
				v.pop_back();
			}

		}


		for (int i = 0; i < v1AddedNumbers; i++)
		{
			added[v[v.size() - 1].first][v[v.size() - 1].second] = false;
			v.pop_back();
		}
	}

	cout << result << endl;
}