#include using namespace std; //入力が必ず-mod<=a //mod<2^30. struct modint{ //mod変更が不可能. public: long long v; static void setmod(int m){} //飾り. static constexpr long long getmod(){return mod;} modint():v(0){} template modint(T a):v(a){if(v < 0) v += mod;} long long val()const{return v;} modint &operator=(const modint &b) = default; modint &operator+()const{return (*this);} modint operator-()const{return modint(0)-(*this);} modint operator+(const modint b)const{return modint(v)+=b;} modint operator-(const modint b)const{return modint(v)-=b;} modint operator*(const modint b)const{return modint(v)*=b;} modint operator/(const modint b)const{return modint(v)/=b;} modint &operator+=(const modint b){ v += b.v; if(v >= mod) v -= mod; return *this; } modint &operator-=(const modint b){ v -= b.v; if(v < 0) v += mod; return *this; } modint &operator*=(const modint b){v = v*b.v%mod; return *this;} modint &operator/=(modint b){ //b!=0 mod素数が必須. assert(b.v != 0); (*this) *= b.pow(mod-2); return *this; } modint pow(long long n)const{ modint ret = 1,p = v; if(n < 0) p = p.inv(),n = -n; while(n){ if(n&1) ret *= p; p *= p; n >>= 1; } return ret; } modint inv()const{return pow(mod-2);} //素数mod必須. modint &operator++(){*this += 1; return *this;} modint &operator--(){*this -= 1; return *this;} modint operator++(int){modint ret = *this; *this += 1; return ret;} modint operator--(int){modint ret = *this; *this -= 1; return ret;} friend bool operator==(const modint a,const modint b){return a.v==b.v;} friend bool operator!=(const modint a,const modint b){return a.v!=b.v;} friend bool operator<(const modint a,const modint b){return a.v=(const modint a,const modint b){return a.v>=b.v;} friend bool operator>(const modint a,const modint b){return a.v>b.v;} friend ostream &operator<<(ostream &os,const modint a){return os<>(istream &is,modint &a){ //入力はmodをとってくれる. long long x; is >> x; x %= mod; a = modint(x); return is; } }; using mint = modint<998244353>; const long long mod = 998244353; int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int N,Q; cin >> N >> Q; vector A(N); for(auto &a : A) cin >> a; //1 5 7 11, 1 11 19 29 mint answer = 0; map> M1,M2; auto update = [&](int pos,int x,int v) -> void { if(x == 1 || x == 5 || x == 7 || x == 11){ auto &[v1,v2,v3,v4] = M1[pos]; answer -= v1*v2*v3*v4; if(x == 1) v1 += v; if(x == 5) v2 += v; if(x == 7) v3 += v; if(x == 11) v4 += v; answer += v1*v2*v3*v4; } if(x == 1 || x == 11 || x == 19 || x == 29){ auto [v1,v2,v3,v4] = M2[pos]; answer -= v1*v2*v3*v4; if(x == 1) v1 += v; if(x == 11) v2 += v; if(x == 19) v3 += v; if(x == 29) v4 += v; answer += v1*v2*v3*v4; } }; auto change = [&](int x,int v) -> void { for(int i=1; i*i<=x; i++) if(x%i == 0){ update(i,x/i,v); if(i*i != x) update(x/i,i,v); } }; for(auto a : A) change(a,1); while(Q--){ int t,x; cin >> t >> x; if(t == 1) change(x,1); else change(x,-1); cout << answer << "\n"; } }