#include <bits/stdc++.h>

using namespace std;

using int64 = long long;
const int mod = 1e9 + 7;
const int inf = (1 << 30) - 1;
const int64 infll = (1LL << 61) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  }
} iosetup;

template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
  for(int i = 0; i < (int) v.size(); i++) {
    os << v[i] << (i + 1 != v.size() ? " " : "");
  }
  return os;
}

template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
  for(T &in : v) is >> in;
  return is;
}

template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }

template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }

template< typename T = int64 >
vector< T > make_v(size_t a) {
  return vector< T >(a);
}

template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
  return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}

template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
  t = v;
}

template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
  for(auto &e : t) fill_v(e, v);
}

template< int mod >
struct ModInt {
  int x;

  ModInt() : x(0) {}

  ModInt(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

  ModInt &operator+=(const ModInt &p) {
    if((x += p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator-=(const ModInt &p) {
    if((x += mod - p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator*=(const ModInt &p) {
    x = (int) (1LL * x * p.x % mod);
    return *this;
  }

  ModInt &operator/=(const ModInt &p) {
    *this *= p.inverse();
    return *this;
  }

  ModInt operator-() const { return ModInt(-x); }

  ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }

  ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }

  ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }

  ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }

  bool operator==(const ModInt &p) const { return x == p.x; }

  bool operator!=(const ModInt &p) const { return x != p.x; }

  ModInt inverse() const {
    int a = x, b = mod, u = 1, v = 0, t;
    while(b > 0) {
      t = a / b;
      a -= t * b;
      swap(a, b);
      u -= t * v;
      swap(u, v);
    }
    return ModInt(u);
  }

  friend ostream &operator<<(ostream &os, const ModInt< mod > &p) {
    return os << p.x;
  }

  friend istream &operator>>(istream &is, ModInt< mod > &a) {
    long long x;
    is >> x;
    a = ModInt< mod >(x);
    return (is);
  }

};

using modint = ModInt< mod >;

int N, M;
bitset< 333 > X;
bitset< 333 > A[300];
bitset< 333 > bit[333];

int main() {
  int x;
  cin >> N >> M >> x;
  for(int j = 0; j < 31; j++) {
    if((x >> j) & 1) X[j] = true;
  }

  for(int i = 0; i < N; i++) {
    int p;
    cin >> p;
    for(int j = 0; j < 31; j++) {
      if((p >> j) & 1) A[i][j] = true;
    }
  }
  for(int i = 0; i < M; i++) {
    int pos = i + 31;
    int t, l, r;
    cin >> t >> l >> r;
    --l, --r;
    X[pos] = t;
    for(int j = l; j <= r; j++) {
      A[j][pos] = true;
    }

  }


  modint mul = 1;
  for(int i = 0; i < N; i++) {
    bool set = false;
    for(int j = 0; j < 333; j++) {
      if(A[i][j]) {
        if(bit[j][j]) {
          A[i] ^= bit[j];
        } else {
          bit[j] = A[i];
          set = true;
          break;
        }
      }
    }
    if(!set) {
      mul *= 2;
    }
  }

  for(int j = 0; j < 333; j++) {
    if(X[j]) X ^= bit[j];
  }
  if(X.none()) cout << mul << endl;
  else cout << 0 << endl;
}