#include<bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
struct zyoken {
	int t, l, r;
};
zyoken z[300];

//愚直な全探索☆
int main() {
	int n, m, x; cin >> n >> m >> x;
	vector<int> a(n);
	rep(i, n) {
		cin >> a[i];
	}
	rep(i, m) {
		cin >> z[i].t >> z[i].l >> z[i].r;
		z[i].l--; z[i].r--;
	}
	int cnt = 0;
	rep(i, (1 << n)) {
		int u[20] = {};
		int s = 0;
		rep(j, n) {
			if (i&(1 << j)) {
				s ^= a[j];
				u[j] = 1;
			}
		}
		if (s == x) {
			bool f = true;
			rep(j, m) {
				int num = 0;
				Rep1(k, z[j].l, z[j].r) {
					if (i&(1 << k))num ^= 1;
				}
				if (num^z[j].t)f = false;
			}
			if (f)cnt++;
		}
	}
	cout << cnt << endl;
	return 0;
}