/** * author: otera * created: 17.11.2021 05:18:13 **/ #include using namespace std; using ll = long long; using ld = long double; using ull = unsigned long long; using uint = unsigned; #define repa(i, n) for(int i = 0; i < n; ++ i) #define repb(i, a, b) for(int i = a; i < b; ++ i) #define repc(i, a, b, c) for(int i = a; i < b; i += c) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, repc, repb, repa)(__VA_ARGS__) #define rep1a(i, n) for(int i = 0; i <= n; ++ i) #define rep1b(i, a, b) for(int i = a; i <= b; ++ i) #define rep1c(i, a, b, c) for(int i = a; i <= b; i += c) #define rep1(...) overload4(__VA_ARGS__, rep1c, rep1b, rep1a)(__VA_ARGS__) #define per(i,n) for(int i=n-1;i>=0;i--) #define per1(i,n) for(int i=n;i>=1;i--) typedef pair P; typedef pair LP; #define pb push_back #define eb emplace_back #define fr first #define sc second #define all(c) c.begin(),c.end() #define lb(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define ub(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define Sort(a) sort(all(a)) #define Rev(a) reverse(all(a)) #define Uniq(a) sort(all(a));a.erase(unique(all(a)),end(a)) #define si(c) (int)(c).size() inline ll popcnt(ull a){ return __builtin_popcountll(a); } #define tpow(n) (1LL<<(n)) #define unless(A) if(!(A)) ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; } ll intpow(ll a, ll b, ll m) {ll ans = 1; while(b){ if(b & 1) (ans *= a) %= m; (a *= a) %= m; b /= 2; } return ans; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } #define INT(...) int __VA_ARGS__;in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;in(__VA_ARGS__) #define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__) #define STR(...) string __VA_ARGS__;in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__;in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__;in(__VA_ARGS__) #define LD(...) ld __VA_ARGS__;in(__VA_ARGS__) #define vec(type,name,...) vectorname(__VA_ARGS__) #define VEC(type,name,size) vectorname(size);in(name) #define vv(type,name,h,...) vector>name(h,vector(__VA_ARGS__)) #define VV(type,name,h,w) vector>name(h,vector(w));in(name) #define vvv(type,name,h,w,...) vector>>name(h,vector>(w,vector(__VA_ARGS__))) template using vc = vector; template using vvc = vector>; template using vvvc = vector>; template using vvvvc = vector>; template using pq = priority_queue; template using pqg = priority_queue, greater>; template void scan(T& a){ cin >> a; } template void scan(vector& a){ for(auto&& i : a) scan(i); } void in(){} template void in(Head& head, Tail&... tail){ scan(head); in(tail...); } void print(){ cout << ' '; } template void print(const T& a){ cout << a; } template void print(const vector& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout << ' '; print(*i); } } int out(){ cout << '\n'; return 0; } template int out(const T& t){ print(t); cout << '\n'; return 0; } template int out(const Head& head, const Tail&... tail){ print(head); cout << ' '; out(tail...); return 0; } #define CHOOSE(a) CHOOSE2 a #define CHOOSE2(a0,a1,a2,a3,a4,x,...) x #define debug_1(x1) cout<<#x1<<": "< primes; vector isprime; vector mebius; vector min_factor; Eratos(int MAX) : primes(), isprime(MAX+1, true), mebius(MAX+1, 1), min_factor(MAX+1, -1) { isprime[0] = isprime[1] = false; min_factor[0] = 0, min_factor[1] = 1; for (int i = 2; i <= MAX; ++i) { if (!isprime[i]) continue; primes.push_back(i); mebius[i] = -1; min_factor[i] = i; for (int j = i*2; j <= MAX; j += i) { isprime[j] = false; if ((j / i) % i == 0) mebius[j] = 0; else mebius[j] = -mebius[j]; if (min_factor[j] == -1) min_factor[j] = i; } } } // prime factorization vector> prime_factors(int n) { vector > res; while (n != 1) { int prime = min_factor[n]; int exp = 0; while (min_factor[n] == prime) { ++exp; n /= prime; } res.push_back(make_pair(prime, exp)); } return res; } // enumerate divisors vector divisors(int n) { vector res({1}); auto pf = prime_factors(n); for (auto p : pf) { int n = (int)res.size(); for (int i = 0; i < n; ++i) { int v = 1; for (int j = 0; j < p.second; ++j) { v *= p.first; res.push_back(res[i] * v); } } } return res; } }; const int MAX = 1'001'000; void solve() { INT(n); assert(1 <= n and n <= 200'000); VEC(int, a, n); rep(i, n) { assert(1 <= a[i] and a[i] <= 1'000'000); } Eratos er(MAX); // map, int> mp; ll ans = 0; map now; // https://blog.hamayanhamayan.com/entry/2017/05/24/154618 map mp; random_device seed_gen; mt19937_64 rng(seed_gen()); uniform_int_distribution dist(1, 1LL<<60); map hashs; rep(i, MAX) { if(er.isprime[i]) { hashs[i] = dist(rng); } } // set se; // mp[se] ++; ll hash = 0; mp[hash] ++; rep(i, n) { for(auto [p, exp]: er.prime_factors(a[i])) { if(exp % 2 == 0) continue; // now[p] += exp; // now[p] %= 2; hash ^= hashs[p]; debug(p, hashs[p]); // if(now[p] == 0) { // // se.erase(p); // hash ^= hashs[p]; // } // else { // // se.insert(p); // } } ans += (ll)mp[hash] ++; debug(mp[hash]); // debug(mp[se]); // ans += (ll)mp[se] ++; } out(ans); } signed main() { ios::sync_with_stdio(false); cin.tie(0); // cout << fixed << setprecision(20); // INT(t); rep(i, t)solve(); solve(); return 0; }