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#include <bits/stdc++.h>
#define e using u=ostream;template<class a,class b>u&operator<<(u&o,pair<a,b>&x)
using namespace std;e;u&operator<<(u&o,string&s){return o<<s.c_str();}template<
class t>auto operator<<(u&o,t&x)->decltype(x.end(),o){o<<'{';int i=2;for(auto y:
x)o<<", "+i<<y,i=0;return o<<'}';}e{return o<<'('<<x.first<<", "<<x.second<<')';}
#ifdef DEBUG
#define LOG(x...)cerr<<"["#x"]: ",[](auto...$){((cerr<<$<<"; "),...)<<'\n';}(x)
#else
#define LOG(...)
#endif
#define ff first
#define ss second
#define ll long long


vector <vector <int> > seq;
vector <vector <ll> > dp(7, vector <ll> (772));
vector <int> id_maska(1 << 10, -1);
vector <int> correct4 = {0, 1, 2, 5, 6, 9, 11, 12, 14, 15};


void make_seq() {
	for (int i = 0; i < (1 << 10); i++) {
		vector <int> temp(10);
		int cnt = 0;
		for (int j = 0; j < 10; j++) {
			temp[j] = (int)((i >> j) & 1);
			cnt += temp[j];
		}
		if (cnt != 5) {
			id_maska[i] = (int)seq.size();
			seq.emplace_back(temp);
		}
	}
}

vector <vector <ll> > C(778, vector <ll> (7));

void make_bin() {
	for (int n = 0; n <= 777; n++) {
		C[n][0] = 1;
		for (int k = 1; k <= 6; k++) {
			if (k > n) 
				C[n][k] = 0;
			else if (k == n) 
				C[n][k] = 1;
			else 
				C[n][k] = C[n-1][k] + C[n-1][k-1];
		}
	}
}


void make_dp() {
	for (int i = 1; i <= 6; i++) {
		for (int j = 0; j <= 771; j++) {
			int rem = 6-i;
			dp[i][j] = C[771-j+rem][rem];
		}
	}
}


void print_matrix(ll a) {
	vector <int> indices(6);
	ll rest = a-1;
	int prev = 0;
	for (int i = 1; i <= 6; i++) {
		for (int j = prev; j <= 771; j++) {
			if (rest >= dp[i][j])
				rest -= dp[i][j];
			else {
				indices[i-1] = j;
				prev = j;
				break;
			}
		}
	}
	vector <vector <int> > matrix(10, vector <int> (10));
	matrix[0] = {0, 1, 0, 1, 0, 1, 1, 0, 0, 1};
	matrix[1] = {0, 0, 1, 0, 1, 0, 1, 0, 1, 1};
	matrix[2] = {0, 0, 0, 1, 1, 0, 0, 1, 1, 1};
	matrix[3] = {0, 0, 0, 0, 0, 1, 1, 1, 1, 1};
	for (int i = 0; i < 6; i++) {
		matrix[i+4] = seq[indices[i]];
	}
	for (int i = 0; i < 10; i++) {
		for (int j = 0; j < 10; j++) {
			cout << matrix[i][j];
		}
		cout << "\n";
	}
	cout << flush;
}

void read_matrix(vector <vector <int> >& v) {
	vector <int> datarows;
	vector <int> firstrows;
	for (int i = 0; i < 10; i++) {
		int sum = 0;
		for (int j = 0; j < 10; j++)
			sum += v[i][j];
		if (sum == 5)
			firstrows.emplace_back(i);
		else
			datarows.emplace_back(i);
	}
	vector <int> perm = {0, 1, 2, 3};
	vector <int> orderfirst(4);
	
	do {
		vector <int> first4;
		for (int i = 0; i < 10; i++) {
			int p4 = 0;
			for (int j = 0; j < 4; j++) {
				p4 = (p4 | v[firstrows[perm[j]]][i] << j);
			}
			first4.emplace_back(p4);
		}
		sort(first4.begin(), first4.end());
		if (first4 == correct4) {
			for (int j = 0; j < 4; j++) {
				orderfirst[j] = firstrows[perm[j]];
			}
			break;
		}
		
	} while (next_permutation(perm.begin(), perm.end()));

	vector <pair <int, int> > cols;
	for (int i = 0; i < 10; i++) {
		int p4 = 0;
		for (int j = 0; j < 4; j++) {
			p4 = (p4 | (v[orderfirst[j]][i] << j));
		}
		cols.emplace_back(p4, i);
	}
	sort(cols.begin(), cols.end());


	vector <int> indices;
	for (auto row : datarows) {
		int mask = 0;
		for (int j = 0; j < 10; j++) {
			int orgcol = cols[j].ss;
			mask = (mask | (v[row][orgcol] << j));
		}
		indices.emplace_back(id_maska[mask]);
	}
	sort(indices.begin(), indices.end());

	ll res = 0;
	int prev = 0;
	for (int i = 1; i <= 6; i++) {
		for (int j = prev; j < indices[i-1]; j++) {
			res += dp[i][j];
		}
		prev = indices[i-1];
	}
	cout << res + 1 << "\n";
	cout << flush;
}




int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	string s;
	cin >> s;
	ll n;
	int t;
	cin >> n;
	cin >> t;
	make_seq();
	make_bin();
	make_dp();
	if (s == "Algosia") {
		while (t--) {
			ll a;
			cin >> a;
			print_matrix(a);
		}
	}
	else {
		while (t--) {
			vector <vector <int> > v(10, vector <int> (10));
			for (int i = 0; i < 10; i++) {
				string ss;
				cin >> ss;
				for (int j = 0; j < 10; j++) {
					v[i][j] = ss[j]-'0';
				}
			}
			read_matrix(v);
		}
	}

}