#include <bits/stdc++.h>
using namespace std;

struct Benri { Benri() { std::cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(12);}} benri;

using ll = long long;
using vi = vector<int>;
using vvi = vector<vi>;
using pii = pair<int, int>;
using vll = vector<long long>;
using pll = pair<ll, ll>;
using ull = unsigned long long;

template <typename T> using PQ = priority_queue<T>;
template <typename T> using minPQ = priority_queue<T, vector<T>, greater<T>>;

#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define all(x) (x).begin(),(x).end()
#define pb push_back
#define mp make_pair
#define F first
#define S second

template<class T>bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b < a) { a = b; return 1; } return 0; }

constexpr long long MOD = 1000000007;
//constexpr long long MOD = 998244353;
//constexpr int INF = 1001001001;
constexpr ll INF = 1001001001001001001ll;
constexpr double EPS = 1e-10;
using number = long long;


struct SuffixArray {
    vector< int > SA;
    const string s;

    SuffixArray(const string &str) : s(str) {
        SA.resize(s.size());
        iota(begin(SA), end(SA), 0);
        sort(begin(SA), end(SA), [&](int a, int b) {
            return s[a] == s[b] ? a > b : s[a] < s[b];
        });
        vector< int > classes(s.size()), c(s.begin(), s.end()), cnt(s.size());
        for (int len = 1; len < s.size(); len <<= 1) {
            for (int i = 0; i < s.size(); i++) {
                if (i > 0 && c[SA[i - 1]] == c[SA[i]] && SA[i - 1] + len < s.size() && c[SA[i - 1] + len / 2] == c[SA[i] + len / 2]) {
                    classes[SA[i]] = classes[SA[i - 1]];
                } else {
                    classes[SA[i]] = i;
                }
            }
            iota(begin(cnt), end(cnt), 0);
            copy(begin(SA), end(SA), begin(c));
            for (int i = 0; i < s.size(); i++) {
                int s1 = c[i] - len;
                if (s1 >= 0) SA[cnt[classes[s1]]++] = s1;
            }
            classes.swap(c);
        }
    }

    int operator[](int k) const {
        return SA[k];
    }

    size_t size() const {
        return s.size();
    }

    bool lt_substr(const string &t, int si = 0, int ti = 0) {
        int sn = (int) s.size(), tn = (int) t.size();
        while (si < sn && ti < tn) {
            if (s[si] < t[ti]) return true;
            if (s[si] > t[ti]) return false;
            ++si, ++ti;
        }
        return si >= sn && ti < tn;
    }

    int lower_bound(const string &t) {
        int low = -1, high = (int) SA.size();
        while (high - low > 1) {
            int mid = (low + high) / 2;
            if (lt_substr(t, SA[mid])) low = mid;
            else high = mid;
        }
        return high;
    }

    pair< int, int > lower_upper_bound(string &t) {
        int idx = lower_bound(t);
        int low = idx - 1, high = (int) SA.size();
        t.back()++;
        while (high - low > 1) {
            int mid = (low + high) / 2;
            if (lt_substr(t, SA[mid])) low = mid;
            else high = mid;
        }
        t.back()--;
        return {idx, high};
    }

    void output() {
        for (int i = 0; i < size(); i++) {
            cout << i << ": " << s.substr(SA[i]) << endl;
        }
    }
};

int main() {
  string S;
  int Q;

  cin >> S;
  SuffixArray sa(S);
  cin >> Q;
  while(Q--) {
    string T;
    cin >> T;
    auto range = sa.lower_upper_bound(T);
    cout << (range.first != range.second) << endl;
  }
}

### Prompt

Your challenge is to write a cpp solution to the following problem:

Determine whether a text T includes a pattern P. Your program should answer for given queries consisting of P_i.

Constraints

* 1 ≤ length of T ≤ 1000000
* 1 ≤ length of P_i ≤ 1000
* 1 ≤ Q ≤ 10000
* The input consists of alphabetical characters and digits

Input

In the first line, a text T is given. In the second line, an integer Q denoting the number of queries is given. In the following Q lines, the patterns P_i are given respectively.

Output

For each question, print 1 if the text includes P_i, or print 0 otherwise.

Example

Input

aabaaa
4
aa
ba
bb
xyz


Output

1
1
0
0

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;

struct Benri { Benri() { std::cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(12);}} benri;

using ll = long long;
using vi = vector<int>;
using vvi = vector<vi>;
using pii = pair<int, int>;
using vll = vector<long long>;
using pll = pair<ll, ll>;
using ull = unsigned long long;

template <typename T> using PQ = priority_queue<T>;
template <typename T> using minPQ = priority_queue<T, vector<T>, greater<T>>;

#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define all(x) (x).begin(),(x).end()
#define pb push_back
#define mp make_pair
#define F first
#define S second

template<class T>bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b < a) { a = b; return 1; } return 0; }

constexpr long long MOD = 1000000007;
//constexpr long long MOD = 998244353;
//constexpr int INF = 1001001001;
constexpr ll INF = 1001001001001001001ll;
constexpr double EPS = 1e-10;
using number = long long;


struct SuffixArray {
    vector< int > SA;
    const string s;

    SuffixArray(const string &str) : s(str) {
        SA.resize(s.size());
        iota(begin(SA), end(SA), 0);
        sort(begin(SA), end(SA), [&](int a, int b) {
            return s[a] == s[b] ? a > b : s[a] < s[b];
        });
        vector< int > classes(s.size()), c(s.begin(), s.end()), cnt(s.size());
        for (int len = 1; len < s.size(); len <<= 1) {
            for (int i = 0; i < s.size(); i++) {
                if (i > 0 && c[SA[i - 1]] == c[SA[i]] && SA[i - 1] + len < s.size() && c[SA[i - 1] + len / 2] == c[SA[i] + len / 2]) {
                    classes[SA[i]] = classes[SA[i - 1]];
                } else {
                    classes[SA[i]] = i;
                }
            }
            iota(begin(cnt), end(cnt), 0);
            copy(begin(SA), end(SA), begin(c));
            for (int i = 0; i < s.size(); i++) {
                int s1 = c[i] - len;
                if (s1 >= 0) SA[cnt[classes[s1]]++] = s1;
            }
            classes.swap(c);
        }
    }

    int operator[](int k) const {
        return SA[k];
    }

    size_t size() const {
        return s.size();
    }

    bool lt_substr(const string &t, int si = 0, int ti = 0) {
        int sn = (int) s.size(), tn = (int) t.size();
        while (si < sn && ti < tn) {
            if (s[si] < t[ti]) return true;
            if (s[si] > t[ti]) return false;
            ++si, ++ti;
        }
        return si >= sn && ti < tn;
    }

    int lower_bound(const string &t) {
        int low = -1, high = (int) SA.size();
        while (high - low > 1) {
            int mid = (low + high) / 2;
            if (lt_substr(t, SA[mid])) low = mid;
            else high = mid;
        }
        return high;
    }

    pair< int, int > lower_upper_bound(string &t) {
        int idx = lower_bound(t);
        int low = idx - 1, high = (int) SA.size();
        t.back()++;
        while (high - low > 1) {
            int mid = (low + high) / 2;
            if (lt_substr(t, SA[mid])) low = mid;
            else high = mid;
        }
        t.back()--;
        return {idx, high};
    }

    void output() {
        for (int i = 0; i < size(); i++) {
            cout << i << ": " << s.substr(SA[i]) << endl;
        }
    }
};

int main() {
  string S;
  int Q;

  cin >> S;
  SuffixArray sa(S);
  cin >> Q;
  while(Q--) {
    string T;
    cin >> T;
    auto range = sa.lower_upper_bound(T);
    cout << (range.first != range.second) << endl;
  }
}

```