#include using namespace std; using lint = long long int; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define SZ(x) ((lint)(x).size()) #define POW2(n) (1LL << (n)) #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template void ndarray(vector &vec, int len) { vec.resize(len); } template void ndarray(vector &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); } template bool mmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; } template bool mmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; } template pair operator+(const pair &l, const pair &r) { return make_pair(l.first + r.first, l.second + r.second); } template pair operator-(const pair &l, const pair &r) { return make_pair(l.first - r.first, l.second - r.second); } template istream &operator>>(istream &is, vector &vec){ for (auto &v : vec) is >> v; return is; } ///// This part below is only for debug, not used ///// template ostream &operator<<(ostream &os, const vector &vec){ os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; } template ostream &operator<<(ostream &os, const deque &vec){ os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; } template ostream &operator<<(ostream &os, const set &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_set &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const multiset &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_multiset &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const pair &pa){ os << "(" << pa.first << "," << pa.second << ")"; return os; } template ostream &operator<<(ostream &os, const map &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } template ostream &operator<<(ostream &os, const unordered_map &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } #define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl; ///// END ///// /* #include #include #include using namespace __gnu_pbds; // find_by_order(), order_of_key() template using pbds_set = tree, rb_tree_tag, tree_order_statistics_node_update>; template using pbds_map = tree, rb_tree_tag, tree_order_statistics_node_update>; */ // Sieve of Eratosthenes // (*this)[i] = (divisor of i, greater than 1) // Example: [0, 1, 2, 3, 2, 5, 3, 7, 2, 3, 2, 11, ...] // Complexity: Space O(MAXN), Time (construction) O(MAXNloglogMAXN) struct SieveOfEratosthenes : std::vector { std::vector primes; SieveOfEratosthenes(int MAXN) : std::vector(MAXN + 1) { std::iota(begin(), end(), 0); for (int i = 2; i <= MAXN; i++) { if ((*this)[i] == i) { primes.push_back(i); for (int j = i; j <= MAXN; j += i) (*this)[j] = i; } } } using T = long long int; // Prime factorization for x <= MAXN^2 // Complexity: O(log x) (x <= MAXN) // O(MAXN / logMAXN) (MAXN < x <= MAXN^2) std::map Factorize(T x) { assert(x <= 1LL * (int(size()) - 1) * (int(size()) - 1)); std::map ret; if (x < int(size())) { while (x > 1) { ret[(*this)[x]]++; x /= (*this)[x]; } } else { for (auto p : primes) { while (!(x % p)) x /= p, ret[p]++; if (x == 1) break; } if (x > 1) ret[x]++; } return ret; } std::vector Divisors(int x) { std::vector ret{1}; for (auto p : Factorize(x)) { int n = ret.size(); for (int i = 0; i < n; i++) { for (T a = 1, d = 1; d <= p.second; d++) { a *= p.first; ret.push_back(ret[i] * a); } } } return ret; // Not sorted } // Moebius function Table // return: [0=>0, 1=>1, 2=>-1, 3=>-1, 4=>0, 5=>-1, 6=>1, 7=>-1, 8=>0, ...] std::vector GenerateMoebiusFunctionTable() { std::vector ret(size()); for (int i = 1; i < int(size()); i++) { if (i == 1) ret[i] = 1; else if ((i / (*this)[i]) % (*this)[i] == 0) ret[i] = 0; else ret[i] = -ret[i / (*this)[i]]; } return ret; } }; SieveOfEratosthenes sieve(100000); int main() { lint N, M, K; cin >> N >> M >> K; char c; cin >> c; vector B(M), A(N); cin >> B >> A; vector divs = sieve.Divisors(K); sort(divs.begin(), divs.end()); lint ret = 0; if (c == '*') { unordered_map dinv; REP(i, divs.size()) dinv[divs[i]] = i; vector coua(divs.size()), coub(divs.size()); for (auto a : A) coua[dinv[__gcd(a, K)]]++; for (auto b : B) coub[dinv[__gcd(b, K)]]++; REP(i, divs.size()) { FOR(j, i + 1, divs.size()) { if (divs[j] % divs[i] == 0) coua[i] += coua[j]; } } REP(i, divs.size()) { ret += coua[i] * coub[divs.size() - 1 - i]; } } else { unordered_map coua; for (auto a : A) coua[a % K]++; for (auto b : B) { lint tgt = (K - b % K) % K; ret += coua[tgt]; } } cout << ret << endl; }