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#include <iostream>
#include <algorithm>
#include <vector>
#include <array>
#include <bitset>
#include <random>

typedef long long I;

#define D(x) 

using namespace std;
array<int,10> perm;
I n,t,a;
string name;

char M[10][10];

I magic2 = 434;

I magic = 697733221579611566LL;

I calc(unsigned int v) {
    return (431*v+511)%1013;
}

I randMy() {
    std::random_device rd;
    std::mt19937_64 gen(rd());
    std::uniform_int_distribution<long long> distr(0, 30000000000000000LL);
    return  distr(gen);
}

#define BITR 6

void doAlgosia(){
//    cout << "B\n30000000000000000 1\n";
    cin >> a;
//    a = randMy();
    cerr << "n:" << a << "\n";
    I c = calc(a);
    c&=0b11111;
    a += (c<<55);
    a ^= magic;
    std::bitset<60> bin(a);
    std::bitset<BITR> bin5;
    std::bitset<10> bin10;
    for(int i=0;i<10;i++) {
        for(int j=0;j<BITR;j++) {
            bin10.set(j, bin[i*BITR+j]);
            bin5.set(j, bin[i*BITR+j]);
        }
        bin5 = calc(bin5.to_ulong()) + i;

        for(int j=BITR;j<10;j++) bin10.set(j, bin5[j-BITR]);
        bin10^=magic2;
        
        for(int j=0;j<10;j++) M[i][j] = bin10[j] + '0';
    }
       

    cerr << name << "\n";
    for(int i=0;i<10;i++) {
        for(int j=0;j<10;j++) {
            cout << M[i][j];
            cerr << M[i][j];
        }
        cout << "\n";
        cerr << "\n";
    }
    cout.flush();
}

int T[10] = {};

bool test()  {
    for(int i=0;i<10;i++) T[i] = 0;
    bitset<10> b = 0;
    for(int i=0;i<10;i++) {
        for(int j=0;j<10;j++) {
            b.set(perm[j], M[i][j]-'0');
        }
        int v6,v = b.to_ulong() ^ magic2;
        v6 = v >> BITR;
        v &= (1<<BITR ) -1;
        int pos = (v6-calc(v))&((1<<(10-BITR)) -1);
        D(cerr << "v:" << v << " v6:" << v6 << "pos:" << pos << "\n";)
        if (pos > 9) return false;
        if(T[pos]) return false;
        T[pos] = v+1;
    }
    return true;
}

I getN60() {
    bitset<60> r;
    for(int i=0;i<10;i++) {
        T[i]--;
        bitset<6> b6 = T[i];
        for(int j=0;j<6;j++) r.set(i*6+j,b6.test(j));
    }
    return r.to_ullong();
}

void doBajtek() {  
    for(int i=0;i<10;i++) 
        for(int j=0;j<10;j++)
            cin >> M[i][j];

    cerr << name << "\n";
    for(int i=0;i<10;i++) {
        for(int j=0;j<10;j++) {
            cerr << M[i][j];
        }
        cerr << "\n";
    }

    perm = {0,1,2,3,4,5,6,7,8,9};
    int c =0;
    do {
//            for(int i=0;i<10;i++) std::cerr << perm[i];
        if(test()) {
            I nn = getN60() ^ magic;
            I nn55 = nn & 36028797018963967LL;
            I c2 =nn >>55;
            I c = calc(nn55);
            c&=0b11111;
            if(c != c2) continue;
            if(nn55 > n) continue;
            cerr << c << " == " << c2 << "\n";
            cerr << c++ << " ";
            for(int i=0;i<10;i++) std::cerr << perm[i];
            std::cerr  << std::endl;
            cerr << nn55 << "\n";
            cout << nn55 << "\n";
            return;
        }
    
    } while (std::next_permutation(perm.begin(), perm.end()));
    cout << 1 << "\n";
    cerr << "blad: " << 1 << "\n";
}

int main() {
    
    cin >> name;
    cin >> n >> t;
    while(t--) {
        if (name[0] != 'B') doAlgosia();
        else doBajtek();

    } 

    return 0;
}