#include <bits/stdc++.h> using namespace std; typedef long long ll; #define REP(i,n) for(int i=0,_n=(int)(n);i<_n;++i) #define ALL(v) (v).begin(),(v).end() #define CLR(t,v) memset(t,(v),sizeof(t)) template<class T1,class T2>ostream& operator<<(ostream& os,const pair<T1,T2>&a){return os<<"("<<a.first<<","<<a.second<< ")";} template<class T>void pv(T a,T b){for(T i=a;i!=b;++i)cout<<(*i)<<" ";cout<<endl;} template<class T>void chmin(T&a,const T&b){if(a>b)a=b;} template<class T>void chmax(T&a,const T&b){if(a<b)a=b;} ll nextLong() { ll x; scanf("%lld", &x); return x;} const ll MOD = 1e9 + 7; struct mint { ll x; mint(ll x=0):x((x%MOD+MOD)%MOD){} mint& operator+=(const mint a) {if ((x += a.x) >= MOD) x -= MOD;return *this;} mint& operator-=(const mint a) {if ((x += MOD-a.x) >= MOD) x -= MOD;return *this;} mint& operator*=(const mint a) {(x *= a.x) %= MOD;return *this;} mint operator+(const mint a) const {mint res(*this);return res+=a;} mint operator-(const mint a) const {mint res(*this);return res-=a;} mint operator*(const mint a) const {mint res(*this);return res*=a;} mint pow(ll b) const { mint res(1), a(*this); while (b) { if (b & 1) res *= a; a *= a; b >>= 1; } return res; } // for prime MOD mint inv() const {return pow(MOD-2);} mint& operator/=(const mint a) {return (*this) *= a.inv();} mint operator/(const mint a) const {mint res(*this);return res/=a;} }; ostream& operator<<(ostream& os, const mint& a) {os << a.x; return os;} int main2() { ll N = nextLong(); ll M = nextLong(); ll X = nextLong(); vector<ll> A(N), B(M); REP(i, N) A[i] = nextLong(); REP(i, M) B[i] = nextLong(); ll s = 0; REP(i, N) s ^= A[i]; REP(i, M) s ^= B[i]; if (s != 0) { cout << 0 << endl; return 0; } mint ans = mint(2).pow(X).pow((N-1)*(M-1)); cout << ans << endl; return 0; } int main() { #ifdef LOCAL for (;!cin.eof();cin>>ws) #endif main2(); return 0; }