#include <stdio.h>
#include <bits/stdc++.h>
#include <atcoder/modint>
using namespace atcoder;
using mint = modint1000000007;
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf 1000000000000000000

void Gauss(vector<bitset<333>> &B){
	int now = 0;
	rep(i,333){
		int temp = -1;
		for(int j=now;j<B.size();j++){
			if(B[j][i]){
				temp = j;
				break;
			}
		}
		if(temp==-1)continue;
		
		rep(j,B.size()){
			if(temp==j)continue;
			if(B[j][i])B[j] ^= B[temp];
		}
		
		swap(B[now],B[temp]);
		now++;
	}
}

int main(){
	
	int N,M,X;
	cin>>N>>M>>X;
	
	vector<bitset<333>> B(N);
	
	rep(i,N){
		int A;
		cin>>A;
		
		rep(j,30){
			if((A>>j)&1)B[i][j] = 1;
		}
	}
	
	bitset<333> XX;
	rep(i,30){
		if((X>>i)&1)XX[i] = 1;
	}
	
	rep(i,M){
		int t,l,r;
		cin>>t>>l>>r;
		l--;r--;
		for(int j=l;j<=r;j++){
			B[j][30+i] = 1;
		}
		if(t==1){
			XX[30+i] = 1;
		}
	}
	
	Gauss(B);
	
	
	rep(i,B.size()){
		rep(j,333){
			if(B[i][j]==1){
				if(XX[j])XX ^= B[i];
				break;
			}
		}
	}
	
	
	rep(i,333){
		if(XX[i]){
			cout<<0<<endl;
			return 0;
		}
	}

	
	mint ans = 1;
	rep(i,B.size()){
		bool f = false;
		rep(j,333){
			if(B[i][j]==1)f=true;
		}
		if(!f)ans *= 2;
	}
	cout<<ans.val()<<endl;
	
	
    return 0;
}