#include <iostream>
#include <fstream>
#include <algorithm>
#include <vector>
#include <string>
#include <math.h>
#define ll long long
using namespace std;
//freopen("a.in", "r", stdin);
//freopen("a.out", "w", stdout);


string toBinary(int x){
    string res = "";
    while(x > 0){
        res += to_string(x % 2);
        x /= 2;
    }
    reverse(res.begin(), res.end());
    return res;
}

int toDecimal(string s){
    int a = 0;
    int p;
    for(int i = 0; i < s.length(); i++){
        if(s[i] == '1'){
            p = 1;
            for(int j = 0; j < s.length() - i - 1; j++){
                p *= 2;
            }
            a += p;
        }
    }
    return a;
}

int ranks (vector<int> a) {
    int rank = 0, p;
    int k = a.size();
    for(int i = 1; i <= k; i++){
        p = 1;
        for(int j = i + 1; j < a[i-1]; j++){
            p *= j;
        }
        for(int j = 1; j < a[i-1] - i; j++) {
            p = floor((double)p/ (double)j);
        }
        if(a[i-1] == 1)
            p = 0;
        rank += p;
    }
    rank++;
    return rank;
}

vector<int> unranks (int k, int rank){
    int j = rank - 1, p;
    int ip;
    vector<int> a(k);
    for(int i = k; i >= 1; i--){
        ip = i - 1;
        p = 1;
        while(true){
            ip++;
            if(ip != i)
                p = floor((double)(ip*p) / (double)(ip - i));
            if (j < p)
                break;
        }
        if (ip != i)
            p = floor((double)p*(ip - i) / (double)ip);
        j -= p;
        a[i-1] = ip;
    }
    return a;
}

void code(){
    string s;
    string res;
    char c;
    vector<int> a;
    int now;
    for(int i = 0; i < 51; i++){
        now = 51*i;
        for(int j = 0; j < 100; j++){
            cin >> c;
            if(c == '1')
                a.push_back(now + j + 1);
        }
    }
    int r = ranks(a);
    s = toBinary(int(a.size()));
    for(int i = 0; i < 13 - s.length(); i++){
        res += '0';
    }
    res += s;
    s = toBinary(r);
    res += s;
    cout << res;
}

void decode(){
    string s, t;
    cin >> s;
    int u;
    for(int i = 0; i < 13; i++){
        if(s[i] == '1'){
            u = i;
            break;
        }
    }
    for(int i = u; i < 13; i++) {
        t += s[i];
    }
    int k = toDecimal(t);
    t = s.substr(13, s.length() - 13);
    int r = toDecimal(t);
    vector<int> res = unranks(k, r);
    int now = 0;
    for(int i = 0; i < 51; i++){
        for(int j = 1; j <= 100; j++) {
            if(res[now] == j){
                cout << '1';
                now++;
            }
            else
                cout << '0';
        }
        cout << '\n';
    }
}

int main()
{
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    int t;
    cin >> t;
    if(t == 0)
        code();
    else if(t == 1)
        decode();
}