#include <bits/stdc++.h>
#define x first
#define y second
using namespace std;
using pii=pair<int,int>;
using vi=vector<int>;
using ll=long long;
using vl=vector<ll>;
#define pb push_back
#define all(a) begin(a),end(a)

const int N=300010,MOD=1e9+7;
const char en='\n';
const ll LLINF=1ll<<60;

int n, m;

void dva_puta_k (int k) {
	int g = __gcd(k + 2, 2 * k + 2);
	//cout << "omjer " << (k + 2) / g << " " << (2 * k + 2) / g << endl;
	cout << 4 << " " << 2 * (k + 1) << endl;
	for (int j = 0; j < 2; j++) {
		for (int i = 0; i < 2 * k + 2; i++) {
			if (i < k) cout << "."; else cout << "#";
		}
		cout << endl;
	}
	for (int j = 0; j < 2; j++) {
		for (int i = 0; i < k + 1; i++) cout << "#";
		for (int i = 0; i < k; i++) cout << ".";
		cout << "#" << endl;
	}
}

void jedan_puta_k (int k) {
	int g = __gcd(2 * k + 2, 3 * k + 2);
	//cout << "omjer " << (2 * k + 2) / g << " " << (3 * k + 2) / g << endl;

	int korak;
	int poc = 1;
	for (int i = 0; i < 100; i++) {
		for (int j = 0; j < 3 * k + 2; j++) {
			int dif = (j - poc + 3 * k + 2) % (3 * k + 2);
		}
		poc = (poc + 2 * k + 1) % (3 * k + 2);
		if (poc == 1) {
			korak = i + 1;
			break;
		}
	}
	

	cout << korak << " " << 3 * k + 2 << endl;
	 poc = 1;
	for (int i = 0; i < korak; i++) {
		for (int j = 0; j < 3 * k + 2; j++) {
			int dif = (j - poc + 3 * k + 2) % (3 * k + 2);
			if (dif < k) cout << "."; else cout << "#";
		}
		poc = (poc + 2 * k + 1) % (3 * k + 2);
		cout << endl;
	}
}

int main () {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin >> n >> m;
	if (n == 0) {
		cout << "1 1" << endl;
		cout << "." << endl;
	} else if (n * 5 > 4 * m) {
		cout << -1 << " " << -1 << endl;
	} else if (n == 1 || n == 2) {
		if (n == 1) {
			n *= 2;
			m *= 2;
		}
		cout << 1 << " " << m << endl;
		for (int i = 0; i < m; i++) {
			if (i < 2) cout << "#"; else cout << ".";
		}
		cout << endl;
	} else if (n == 4 && m == 7) {
		cout << 1 << " " << m << endl;
		cout << "##.##.." << endl;
	} else if (n == 4 && m == 9) {
		cout << 1 << " " << m << endl;
		cout << "##.##...." << endl;
	} else if (n == 3 && m == 4) {
		dva_puta_k(1);
	} else if (n == 5 && m == 8) {
		dva_puta_k(3);
	} else if (n == 3 && m == 5) {
		dva_puta_k(4);
	} else if (n == 5 && m == 9) {
		dva_puta_k(8);
	} else if (n == 4 && m == 5) {
		jedan_puta_k(1);
	} else if (n == 5 && m == 7) {
		jedan_puta_k(4);
	} else if (n == 7 && m == 10) {
		jedan_puta_k(6);
	} else if (n == 3 && m == 7) {
		cout << 1 << " " << 14 << endl;
		cout << "##.##.##......" << endl;
	} else if (n == 3 && m == 8) {
		cout << 1 << " " << 16 << endl;
		cout << "##.##.##........" << endl;
	} else if (n == 3 && m == 10) {
		cout << 1 << " " << 20 << endl;
		cout << "##.##.##............" << endl;
	} else if (n == 7 && m == 9) {
		vector < string > v(6, string(18, '#'));
		v[0][1] = '.'; v[0][6] = '.'; v[0][9] = '.'; v[0][14] = '.';
		v[1][3] = '.'; v[1][6] = '.'; v[1][11] = '.'; v[1][16] = '.';
		v[2][0] = '.'; v[2][3] = '.'; v[2][8] = '.'; v[2][13] = '.';
		v[3][0] = '.'; v[3][5] = '.'; v[3][10] = '.'; v[3][15] = '.';
		v[4][2] = '.'; v[4][7] = '.'; v[4][12] = '.'; v[4][15] = '.';
		v[5][4] = '.'; v[5][9] = '.'; v[5][12] = '.'; v[5][17] = '.';
		cout << 6 << " " << 18 << endl;
		for(auto ss : v) cout << ss << endl;
	} else {
		assert(0);
		cout << "-1 -1" << endl;
	}
	return 0;
}