#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int DY[]{1, 0, -1, 0}, DX[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}, DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; std::vector prime_sieve(int n, bool get_only_prime) { std::vector prime, smallest_prime_factor(n + 1); std::iota(smallest_prime_factor.begin(), smallest_prime_factor.end(), 0); for (int i = 2; i <= n; ++i) { if (smallest_prime_factor[i] == i) prime.emplace_back(i); for (int p : prime) { if (i * p > n || p > smallest_prime_factor[i]) break; smallest_prime_factor[i * p] = p; } } return get_only_prime ? prime : smallest_prime_factor; } struct osa_k { std::vector smallest_prime_factor; osa_k(int n = 10000000) : smallest_prime_factor(prime_sieve(n, false)) {} std::vector> query(int n) const { std::vector> res; while (n > 1) { int prime = smallest_prime_factor[n], exponent = 0; while (smallest_prime_factor[n] == prime) { ++exponent; n /= prime; } res.emplace_back(prime, exponent); } return res; } }; struct Xor128 { int rand() { unsigned int t = x ^ (x << 11); x = y; y = z; z = w; w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)); return static_cast(w); } int rand(int ub) { int res = rand() % ub; return res < 0 ? res + ub : res; } int rand(int lb, int ub) { return lb + rand(ub - lb); } long long randll() { unsigned long long res = static_cast(rand()) << 32; return static_cast(res | rand()); } long long randll(long long ub) { long long res = randll() % ub; return res < 0 ? res + ub : res; } long long randll(long long lb, long long ub) { return lb + randll(ub - lb); } private: unsigned int x = 123456789, y = 362436069, z = 521288629, w = static_cast(std::time(nullptr)); } xor128; int main() { constexpr int M = 1000000; osa_k osa(M); ll rn[M + 1]{}; REP(i, M + 1) rn[i] = xor128.randll(); int n; cin >> n; vector b(n, 0); REP(i, n) { int a; cin >> a; for (const auto [p, ex] : osa.query(a)) { if (ex % 2 == 1) b[i] ^= rn[p]; } } FOR(i, 1, n) b[i] ^= b[i - 1]; map cnt{{0, 1}}; REP(i, n) ++cnt[b[i]]; ll ans = 0; for (const auto [_, num] : cnt) ans += num * (num - 1LL) / 2; cout << ans << '\n'; return 0; }