// >>> TEMPLATES #include using namespace std; using ll = long long; using ld = long double; #define int ll #define double ld #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define rep1(i,n) for (int i = 1; i <= (int)(n); i++) #define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--) #define rep1R(i,n) for (int i = (int)(n); i >= 1; i--) #define loop(i,a,B) for (int i = a; i B; i++) #define loopR(i,a,B) for (int i = a; i B; i--) #define all(x) (x).begin(), (x).end() #define allR(x) (x).rbegin(), (x).rend() #define pb push_back #define eb emplace_back #define mp make_pair #define fst first #define snd second #define INF (numeric_limits::max()/2-1) #ifdef LOCAL #include "debug.hpp" #define dump(...) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] ", dump_impl(#__VA_ARGS__, __VA_ARGS__) #define say(x) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] " << x << endl #define debug if (1) #else #define dump(...) (void)(0) #define say(x) (void)(0) #define debug if (0) #endif template using pque_max = priority_queue; template using pque_min = priority_queue, greater >; template ::value>::type> ostream& operator<<(ostream& os, T const& v) { bool f = true; for (auto const& x : v) os << (f ? "" : " ") << x, f = false; return os; } template ::value>::type> istream& operator>>(istream& is, T &v) { for (auto& x : v) is >> x; return is; } template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup; template struct FixPoint : private F { constexpr FixPoint(F&& f) : F(forward(f)) {} template constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward(x)...); } }; struct MakeFixPoint { template constexpr auto operator|(F&& f) const { return FixPoint(forward(f)); } }; #define MFP MakeFixPoint()| #define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__) template struct vec_impl { using type = vector::type>; template static type make_v(size_t n, U&&... x) { return type(n, vec_impl::make_v(forward(x)...)); } }; template struct vec_impl { using type = T; static type make_v(T const& x = {}) { return x; } }; template using vec = typename vec_impl::type; template auto make_v(Args&&... args) { return vec_impl::make_v(forward(args)...); } template void quit(T const& x) { cout << x << endl; exit(0); } template constexpr bool chmin(T& x, T const& y) { if (x > y) { x = y; return true; } return false; } template constexpr bool chmax(T& x, T const& y) { if (x < y) { x = y; return true; } return false; } template constexpr auto sumof(It b, It e) { return accumulate(b,e,typename iterator_traits::value_type{}); } template int sz(T const& x) { return x.size(); } template int lbd(C const& v, T const& x) { return lower_bound(v.begin(), v.end(), x)-v.begin(); } template int ubd(C const& v, T const& x) { return upper_bound(v.begin(), v.end(), x)-v.begin(); } // <<< ll mod(ll x, ll m) { return (x %= m) < 0 ? x+m : x; } vector divisors(int n) { assert(n > 0); vector a; int x = 1; for ( ; x*x < n; x++) if (n % x == 0) a.push_back(x); int s = a.size(); if (x*x == n) a.push_back(x); a.reserve(a.size()+s); rep (i,s) a.push_back(n/a[s-1-i]); return a; } map prime_factor(int n) { map ret; for (int i = 2; i*i <= n; i++) { if (n % i != 0) continue; int c = 0; while (n % i == 0) c++, n /= i; ret[i] = c; } if (n > 1) ret[n] = 1; return ret; } int32_t main() { int n,m,k; cin >> n >> m >> k; char op; cin >> op; vector b(m); cin >> b; vector a(n); cin >> a; if (op == '+') { unordered_map cnt; rep (j,m) cnt[b[j]%k]++; int ans = 0; rep (i,n) ans += cnt[mod(-a[i],k)]; cout << ans << endl; } else { auto divs = divisors(k); auto ps = prime_factor(k); unordered_map cnt; rep (j,m) cnt[__gcd(b[j],k)]++; reverse(all(divs)); for (auto p : ps) { for (int d : divs) { if (d%p.fst) continue; cnt[d/p.fst] += cnt[d]; } } dump(cnt); int ans = 0; rep (i,n) { int y = k/__gcd(a[i],k); ans += cnt[y]; } cout << ans << endl; } }