#include "bits/stdc++.h"
using namespace std;
#define int long long
#define rep(i,n) for(int i=0;i<n;i++)
#define vi vector<int>
#define all(a) a.begin(),a.end()
typedef pair<int,int> P;
const long long mod=1000000007;
const long long inf=1ll<<61;
int modpow(int a,int x){
  int res=1;
  while(x){
    if(x&1)res=res*a%mod;
    a=a*a%mod;
    x>>=1;
  }
  return res;
}
signed main(){
  int n,m,x;cin>>n>>m>>x;
  assert(1<=n&&n<=200000&&1<=m&&m<=200000&&1<=x&&x<=60);
  int A=0,B=0;
  rep(i,n){
    int a;cin>>a;A^=a;
    assert(0<=a&&a<(1ll<<x));
  }
  rep(i,m){
    int b;cin>>b;B^=b;
    assert(0<=b&&b<(1ll<<x));
  }
  if(A!=B)cout<<0<<endl;
  else{
    cout<<modpow(modpow(2,(n-1)*(m-1)),x)<<endl;
  }
}