#include <bits/stdc++.h>
using namespace std;
//#define DEBUG_MODE
#define endl '\n'
#ifdef DEBUG_MODE
#define DEBUG(X) debug_func(X, #X)
#define DEBUG_ENDL endl << flush
#define DEBUG_SEPARATOR_LINE cout<<"=================\n"
#else
#define DEBUG(X) 0
#define DEBUG_ENDL 0
#define DEBUG_SEPARATOR_LINE 0
#endif
#define ALL(V) (V).begin(), (V).end()
#define ALLR(V) (V).rbegin(), (V).rend()
#define DEBUG_ENDL_S(S) ((S).size() ? "\n" : "") << flush;
template <typename T> using V = vector<T>;
template <typename T> using VV = V<V<T>>;
template <typename T, typename U> using P = pair<T, U>;
using ll = int64_t;
using PLL = P<ll, ll>;
template <typename T> const T& var_min(const T &t) { return t; }
template <typename T> const T& var_max(const T &t) { return t; }
template <typename Head, typename... Tail> const Head& var_min(const Head &head, const Tail&... tail) { return min(head, var_min(tail...)); }
template <typename Head, typename... Tail> const Head& var_max(const Head &head, const Tail&... tail) { return max(head, var_max(tail...)); }
template <typename T, typename... Tail> void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); }
template <typename T, typename... Tail> void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); }
void debug_func_preffix(const string &s) { if(s.size()) cout << s << " = "; }
template <typename T>
void debug_func(const T &t, const string &s = "") {
    debug_func_preffix(s);
    cout << t << DEBUG_ENDL_S(s);
}
template <typename T, typename U>
void debug_func(const P<T, U> &p, const string &s = "") {
    debug_func_preffix(s);
    cout << "(";
    debug_func(p.first);
    cout << ", ";
    debug_func(p.second);
    cout << ")" << DEBUG_ENDL_S(s);
}
template <typename T>
void debug_func(const V<T> &v, const string &s = "") {
    for(ll i = 0; i < v.size(); i++) {
        string t = s + "[" + to_string(i) + "]";
        debug_func(v[i], t);
    }
}

void init_io() {
    cin.tie(0);
    ios_base::sync_with_stdio(false);
    cout << fixed << setprecision(30);
}

using BS = bitset<512>;
using Matrix = V<BS>;
const ll MOD = 1e9 + 7;

tuple<Matrix, BS, ll> gauss_elim(Matrix mat, BS b, ll dim) {
    ll fcnt = 0;
    for(ll col = 0; col < dim; col++) {
        ll row = -1;
        for(ll r = col; r < mat.size(); r++) {
            if(mat[r].test(col)) {
                row = r;
                break;
            }
        }
        if(row == -1) {
            fcnt++;
            continue;
        }
        if(row != col) {
            swap(mat[col], mat[row]);
            bool tmp = b[col];
            b.set(col, b[row]);
            b.set(row, tmp);
        }
        for(ll r = 0; r < mat.size(); r++) {
            if(r == col) continue;
            if(!mat[r].test(col)) continue;
            mat[r] ^= mat[col];
            bool tmp = b[r] ^ b[col];
            b.set(r, tmp);
        }
    }
    return make_tuple(mat, b, fcnt);
}

ll calc(Matrix mat, BS b, ll dim) {
    auto tmp = gauss_elim(mat, b, dim);
    Matrix gmat;
    BS gb;
    ll fcnt;
    tie(gmat, gb, fcnt) = tmp;
#ifdef DEBUG_MODE
    for(ll i = 0; i < gmat.size(); i++) cout << gmat[i].to_string() << " = " << (gb[i] ? 1 : 0) << endl;
#endif
    for(ll i = 0; i < gmat.size(); i++) if(!gmat[i].any() && gb.test(i)) return 0;
    ll ret = 1;
    for(ll i = 0; i < fcnt; i++) (ret *= 2) %= MOD;
    return ret;
}

int main() {
    init_io();
    ll N, M, X;
    cin >> N >> M >> X;
    BS b(X);
    Matrix mat(60 + M, BS(0));
    ll dim = N;
    for(ll i = 0; i < N; i++) {
        ll A;
        cin >> A;
        BS ab(A);
        for(ll dig = 0; dig < 60; dig++) mat[dig][i] = ab.test(dig);
    }
    for(ll i = 0; i < M; i++) {
        ll type, l, r;
        cin >> type >> l >> r;
        l--;
        r--;
        for(ll j = l; j <= r; j++) mat[i + 60].set(j);
        b.set(i + 60, !!(type));
    }
#ifdef DEBUG_MODE
    for(ll i = 0; i < mat.size(); i++) cout << mat[i].to_string() << " = " << (b[i] ? 1 : 0) << endl;
#endif
    cout << calc(mat, b, dim) << endl;
    return 0;
}