#include #define rep(i,n) for(int i=0;i<(int)(n);i++) using namespace std; using ll = long long ; using P = pair ; using pll = pair; constexpr int INF = 1e9; constexpr long long LINF = 1e17; constexpr int MOD = 1000000007; constexpr double PI = 3.14159265358979323846; template struct ModInt{ long long x=0; constexpr ModInt(long long x=0):x((x%mod+mod)%mod){} constexpr ModInt operator+(const ModInt& r)const{return ModInt(*this)+=r;} constexpr ModInt operator-(const ModInt& r)const{return ModInt(*this)-=r;} constexpr ModInt operator*(const ModInt& r)const{return ModInt(*this)*=r;} constexpr ModInt operator/(const ModInt& r)const{return ModInt(*this)/=r;} constexpr ModInt& operator+=(const ModInt& r){ if((x+=r.x)>=mod) x-=mod; return *this;} constexpr ModInt& operator-=(const ModInt& r){ if((x-=r.x)<0) x+=mod; return *this;} constexpr ModInt& operator*=(const ModInt& r){ if((x*=r.x)>=mod) x%=mod; return *this;} constexpr ModInt& operator/=(const ModInt& r){ return *this*=r.inv();} ModInt inv() const { long long s=x,sx=1,sy=0,t=mod,tx=0,ty=1; while(s%t!=0){ long long temp=s/t,u=s-t*temp,ux=sx-temp*tx,uy=sy-temp*ty; s=t;sx=tx;sy=ty; t=u;tx=ux;ty=uy; } return ModInt(tx); } ModInt pow(long long n) const { ModInt a=1; while(n>0){ if(n&1) a*=*this; *this*=*this; n>>=1; } return a; } friend constexpr ostream& operator<<(ostream& os,const ModInt& a) {return os << a.x;} friend constexpr istream& operator>>(istream& is,ModInt& a) {return is >> a.x;} }; using mint = ModInt; int main(){ int n,m,k; cin >> n >> m >> k; vector a(n),b(m); vector cnta(1500),cntb(1500),alla(1500),allb(1500); rep(i,n) cin >> a[i]; rep(i,m) cin >> b[i]; rep(i,n-1) a[i+1] ^= a[i]; rep(i,m-1) b[i+1] ^= b[i]; rep(i,n) cnta[a[i]] +=1; rep(i,m) cntb[b[i]] +=1; cnta[0]+=1; cntb[0]+=1; rep(i,1500)rep(j,i+1){ if(i==j){ alla[0] += (cnta[i] * (cnta[j]-1)) / 2; allb[0] += (cntb[i] * (cntb[j]-1)) / 2; } else if((i^j)<1500){ alla[i^j] += cnta[i] * cnta[j]; allb[i^j] += cntb[i] * cntb[j]; } } /* rep(i,n) cout << a[i] << " " ;cout << endl; rep(i,m) cout << b[i] << " " ;cout << endl; rep(i,30) cout << cnta[i] << " " ;cout << endl; rep(i,30) cout << cntb[i] << " " ;cout << endl; rep(i,30) cout << alla[i] << " " ;cout << endl; rep(i,30) cout << allb[i] << " " ;cout << endl; */ mint ans = 0; rep(i,1500)rep(j,1500){ if((i^j)==k) ans += alla[i] * allb[j]; } cout << ans << endl; return 0; }