#line 1 "c.cpp" #include #include #define rep(i,n) for (int i = 0; i < int(n); ++i) #define repp(i,n,m) for (int i = m; i < int(n); ++i) #define repb(i,n) for (int i = int(n)-1; i >= 0; --i) #define all(v) v.begin(),v.end() using namespace std; using namespace atcoder; using ll = long long; using ld = long double; using P = pair; using PL = pair; using pdd = pair; using pil = pair; using pli = pair; using ppi = pair; using pip = pair; const int INF = 1001001007; const long long mod1 = 1000000007LL; const long long mod2 = 998244353LL; const ll inf = 2e18; const ld pi = 3.14159265358979323; const ld eps = 1e-7; templatevoid o(T a); templateistream &operator>>(istream &is,vector &v){for(auto &e:v)is>>e;return is;} templatebool range(T a,T b,T x){return (a<=x&&xbool rrange(T a,T b,T c,T d,T x,T y){return (range(a,c,x)&&range(b,d,y));} templatevoid rev(vector &v){reverse(v.begin(),v.end());} void revs(string &s) {reverse(s.begin(),s.end());} templatevoid sor(vector &v, int f=0){sort(v.begin(),v.end());if(f!=0) rev(v);} templatebool chmin(T &a,const T &b){if(a>b){a=b;return true;}return false;} templatebool chmax(T &a,const T &b){if(avoid uniq(vector &v){sor(v);v.erase(unique(v.begin(),v.end()),v.end());} templateT cel(T a,T b){return (a+b-1)/b;} templatevoid print(pair a); templatevoid print(vector v); templatevoid print(vector> v); void print(){ putchar(' '); } void print(bool a){ printf("%d", a); } void print(int a){ printf("%d", a); } void print(long a){ printf("%ld", a); } void print(long long a){ printf("%lld", a); } void print(char a){ printf("%c", a); } void print(char a[]){ printf("%s", a); } void print(const char a[]){ printf("%s", a); } void print(long double a){ printf("%.15Lf", a); } void print(const string& a){ for(auto&& i : a) print(i); } void print(unsigned int a){ printf("%u", a); } template void print(const T& a){ cout << a; } int out(){ putchar('\n'); return 0; } template int out(const T& t){ print(t); putchar('\n'); return 0; } template int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; } void o(){cout<<"!?"<void o(T a){cout<void print(pair a){print(a.first);print(),print(a.second);} templatevoid print(vector v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())print();}} templatevoid print(vector> v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())out();}} void yes(){out("Yes");} void no (){out("No");} void yn (bool t){if(t)yes();else no();} vector dx = {0,1,0,-1,1,1,-1,-1}; vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void fast_io(){cin.tie(0); ios::sync_with_stdio(0); cout< a){vector b(a.size()); rep(i,a.size()) b[i] = a[i].val(); out(b);} void out(vector> a){for (auto v : a) out(v);} istream &operator>>(istream &is,vector &v){for(auto &e:v){ll _x;is>>_x;e=_x;}return is;} void solve(){ int n; cin >> n; vector a(n); cin >> a; vector ps(1'000'001,1); map mp; int idx = 0; repp(i,1'000'001,2){ if (ps[i] != 1) continue; for (int j = i; j < 1'000'001; j += i) ps[j] = i; mp[i] = idx; idx++; } mint ans = 0; vector dp(1'000'001,0); rep(i,n){ vector qs; int ix = a[i]; while (ix > 1){ qs.emplace_back(ps[ix]); ix /= ps[ix]; } uniq(qs); mint ima = 1; int m = qs.size(); repp(j,1<> k & 1){ c ^= 1; y *= qs[k]; } ima += (c == 1 ? 1 : -1) * dp[y]; } ans += ima; repp(j,1<> k & 1) y *= qs[k]; dp[y] += ima; } } out(ans.val()); } int main(){ fast_io(); int t = 1; //cin >> t; while(t--) solve(); }