typedef long long ll;
typedef long double ld;
#include <bits/stdc++.h>
using namespace std;
long long modpow(long long a, long long n, long long mod) {
    long long res = 1;
    while (n > 0) {
        if (n & 1) res = res * a % mod;
        a = a * a % mod;
        n >>= 1;
    }
    return res;
}
int main() {
    ll n,m,x;
    std::cin >> n>>m>>x;
    vector<bitset<400>> rows(n);
    vector<bitset<400>> bases;
    bases.push_back(bitset<400>(0));
    vector<ll> a(n);
    for (int i = 0; i < n; i++) {
        std::cin >> a[i];
        rows[i] = bitset<400>(a[i]);
    }
    vector<ll> t(m);
    auto xx = bitset<400>(x);
    for (int i = 0; i < m; i++) {
        ll tt,l,r;
        std::cin >> tt>>l>>r;
        t[i] = tt;
        if(tt==1)xx.set(40+i);
        for (int j = l-1; j < r; j++) {
            rows[j].set(40+i);
        }
    }

    sort(rows.rbegin(),rows.rend(), [](const auto & lhs, const auto & rhs)
                                    { return lhs.to_string() < rhs.to_string(); });
                                    
    ll zeroc = 0;
    for (int i = 0; i < n; i++) {
        bitset<400> v = rows[i];
        for (auto e : bases) {
            auto tmp = v ^ e;
            if(tmp.to_string()<v.to_string())v = tmp;
        }
        if(v!=bitset<400>(0)){
            bases.push_back(v);
        }
        rows[i] = v;
        if(v==bitset<400>(0))zeroc++;
    }
    
    
    for (auto e : bases) {
        auto tmp = xx ^ e;
        if(tmp.to_string()<xx.to_string())xx = tmp;
    }
    
    if(xx!=bitset<400>(0)){
        std::cout << 0 << std::endl;
        return 0;
    }
    
    std::cout << modpow(2,zeroc,1e9+7) << std::endl;
}