//#define _GLIBCXX_DEBUG //#pragma GCC target("avx2") //#pragma GCC optimize("O3") //#pragma GCC optimize("unroll-loops") #include using namespace std; #ifdef LOCAL #include #define OUT(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else #define OUT(...) (static_cast(0)) #endif #define endl '\n' #define lfs cout<= (ll)(n); i--) namespace template_tute{ using ll = long long; using ld = long double; const ll MOD1 = 1e9+7; const ll MOD9 = 998244353; const ll INF = 4.1e18; using P = pair; template using PQ = priority_queue; template using QP = priority_queue,greater>; templatebool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;} templatebool chmax(T1 &a,T2 b){if(a({a,b,c})-min({a,b,c});} void ans1(bool x){if(x) cout<<"Yes"<void ans(bool x,T1 y,T2 z){if(x)cout<void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);}; templatevoid debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;ivoid debug(const T &v,ll n,string sv=" "){if(n!=0)cout<void debug(const vector&v){debug(v,v.size());} templatevoid debug(const vector>&v){for(auto &vv:v)debug(vv,vv.size());} templatevoid debug(stack st){while(!st.empty()){cout<void debug(queue st){while(!st.empty()){cout<void debug(deque st){while(!st.empty()){cout<void debug(PQ st){while(!st.empty()){cout<void debug(QP st){while(!st.empty()){cout<void debug(const set&v){for(auto z:v)cout<void debug(const multiset&v){for(auto z:v)cout<void debug(const array &a){for(auto z:a)cout<void debug(const map&v){for(auto z:v)cout<<"["<vector>vec(ll x, ll y, T w){vector>v(x,vector(y,w));return v;} vectordx={1,-1,0,0,1,1,-1,-1};vectordy={0,0,1,-1,1,-1,1,-1}; templatevector make_v(size_t a,T b){return vector(a,b);} templateauto make_v(size_t a,Ts... ts){return vector(a,make_v(ts...));} templateostream &operator<<(ostream &os, const pair&p){return os << "(" << p.first << "," << p.second << ")";} templateostream &operator<<(ostream &os, const vector &v){os<<"[";for(auto &z:v)os << z << ",";os<<"]"; return os;} templatevoid rearrange(vector&ord, vector&v){ auto tmp = v; for(int i=0;ivoid rearrange(vector&ord,Head&& head, Tail&&... tail){ rearrange(ord, head); rearrange(ord, tail...); } template vector ascend(const vector&v){ vectorord(v.size());iota(ord.begin(),ord.end(),0); sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],i) vector descend(const vector&v){ vectorord(v.size());iota(ord.begin(),ord.end(),0); sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],-i)>make_pair(v[j],-j);}); return ord; } template vector inv_perm(const vector&ord){ vectorinv(ord.size()); for(int i=0;i0);return n>=0?n/div:(n-div+1)/div;} ll CEIL(ll n,ll div){assert(div>0);return n>=0?(n+div-1)/div:n/div;} ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;} ll modulo(ll n,ll d){return (n%d+d)%d;}; templateT min(const vector&v){return *min_element(v.begin(),v.end());} templateT max(const vector&v){return *max_element(v.begin(),v.end());} templateT acc(const vector&v){return accumulate(v.begin(),v.end(),T(0));}; templateT reverse(const T &v){return T(v.rbegin(),v.rend());}; //mt19937 mt(chrono::steady_clock::now().time_since_epoch().count()); int popcount(ll x){return __builtin_popcountll(x);}; int poplow(ll x){return __builtin_ctzll(x);}; int pophigh(ll x){return 63 - __builtin_clzll(x);}; templateT poll(queue &q){auto ret=q.front();q.pop();return ret;}; templateT poll(priority_queue &q){auto ret=q.top();q.pop();return ret;}; templateT poll(QP &q){auto ret=q.top();q.pop();return ret;}; templateT poll(stack &s){auto ret=s.top();s.pop();return ret;}; ll MULT(ll x,ll y){if(LLONG_MAX/x<=y)return LLONG_MAX;return x*y;} ll POW2(ll x, ll k){ll ret=1,mul=x;while(k){if(mul==LLONG_MAX)return LLONG_MAX;if(k&1)ret=MULT(ret,mul);mul=MULT(mul,mul);k>>=1;}return ret;} ll POW(ll x, ll k){ll ret=1;for(int i=0;isputn(d, len) != len) { dest.setstate(std::ios_base::badbit); } } return dest; } namespace converter{ int dict[500]; const string lower="abcdefghijklmnopqrstuvwxyz"; const string upper="ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string digit="0123456789"; const string digit1="123456789"; void regi_str(const string &t){ for(int i=0;ito_int(const string &s,const string &t){ regi_str(t); vectorret(s.size()); for(int i=0;ito_int(const string &s){ auto t=s; sort(t.begin(),t.end()); t.erase(unique(t.begin(),t.end()),t.end()); return to_int(s,t); } vector>to_int(const vector&s,const string &t){ regi_str(t); vector>ret(s.size(),vector(s[0].size())); for(int i=0;i>to_int(const vector&s){ string t; for(int i=0;i&s,const string &t){ regi_int(t); string ret; for(auto z:s)ret+=dict[z]; return ret; } vector to_str(const vector>&s,const string &t){ regi_int(t); vectorret(s.size()); for(int i=0;i struct edge { int to; T cost; int id; edge():to(-1),id(-1){}; edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){} operator int() const { return to; } }; template using Graph = vector>>; template Graphrevgraph(const Graph &g){ Graphret(g.size()); for(int i=0;i Graph readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){ Graph ret(n); for(int es = 0; es < m; es++){ int u,v; T w=1; cin>>u>>v;u-=indexed,v-=indexed; if(weighted)cin>>w; ret[u].emplace_back(v,w,es); if(!directed)ret[v].emplace_back(u,w,es); } return ret; } template Graph readParent(int n,int indexed=1,bool directed=true){ Graphret(n); for(int i=1;i>p; p-=indexed; ret[p].emplace_back(i); if(!directed)ret[i].emplace_back(p); } return ret; } } using namespace template_tute; template< int mod > struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int) (1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } friend ModInt operator+(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) += rhs; } friend ModInt operator-(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) -= rhs; } friend ModInt operator*(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) *= rhs; } friend ModInt operator/(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) /= rhs; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } pairfrac(){ for(int j=1;j<=10000;j++){ auto v=*this*j; if(v.x<=10000)return make_pair(v.x,j); else if(v.x>=mod-10000)return make_pair(-(v.x-mod),j); } return make_pair(-1,-1); } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); } static constexpr int get_mod() { return mod; } }; template< typename T > struct Combination { vector< T > _fact, _rfact, _inv; Combination(ll sz) : _fact(sz + 1), _rfact(sz + 1), _inv(sz + 1) { _fact[0] = _rfact[sz] = _inv[0] = 1; for(ll i = 1; i <= sz; i++) _fact[i] = _fact[i - 1] * i; _rfact[sz] /= _fact[sz]; for(ll i = sz - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1); for(ll i = 1; i <= sz; i++) _inv[i] = _rfact[i] * _fact[i - 1]; } inline T fact(ll k) const { return _fact[k]; } inline T rfact(ll k) const { return _rfact[k]; } inline T inv(ll k) const { return _inv[k]; } T P(ll n, ll r) const { if(r < 0 || n < r) return 0; return fact(n) * rfact(n - r); } T C(ll p, ll q) const { if(q < 0 || p < q) return 0; return fact(p) * rfact(q) * rfact(p - q); } T RC(ll p, ll q) const { if(q < 0 || p < q) return 0; return rfact(p) * fact(q) * fact(p - q); } T H(ll n, ll r) const { if(n < 0 || r < 0) return (0); return r == 0 ? 1 : C(n + r - 1, r); } //+1がm個、-1がn個で prefix sumが常にk以上 T catalan(ll m,ll n,ll k){ if(n>m-k)return 0; else return C(n+m,m)-C(n+m,n+k-1); } }; using modint = ModInt< MOD9 >;modint mpow(ll n, ll x){return modint(n).pow(x);}modint mpow(modint n, ll x){return n.pow(x);} //using modint=ld;modint mpow(ll n, ll x){return pow(n,x);}modint mpow(modint n, ll x){return pow(n,x);} using Comb=Combination; struct SuccinctIndexableDictionary { size_t length; size_t blocks; vector< unsigned > bit, sum; SuccinctIndexableDictionary() = default; SuccinctIndexableDictionary(size_t length) : length(length), blocks((length + 31) >> 5) { bit.assign(blocks, 0U); sum.assign(blocks, 0U); } void set(int k) { bit[k >> 5] |= 1U << (k & 31); } void build() { sum[0] = 0U; for(int i = 1; i < blocks; i++) { sum[i] = sum[i - 1] + __builtin_popcount(bit[i - 1]); } } bool operator[](int k) { return (bool((bit[k >> 5] >> (k & 31)) & 1)); } int rank(int k) { return (sum[k >> 5] + __builtin_popcount(bit[k >> 5] & ((1U << (k & 31)) - 1))); } int rank(bool val, int k) { return (val ? rank(k) : k - rank(k)); } }; /* * @brief Wavelet-Matrix-Rectangle-Sum * @docs docs/wavelet-matrix-rectangle-sum.md */ template< typename T, int MAXLOG, typename D > struct WaveletMatrixRectangleSum { size_t length; SuccinctIndexableDictionary matrix[MAXLOG]; vector< D > ds[MAXLOG]; int mid[MAXLOG]; WaveletMatrixRectangleSum() = default; //x=i,y=v[i],w=d[i]で初期化 WaveletMatrixRectangleSum(const vector< T > &v, const vector< D > &d) : length(v.size()) { assert(v.size() == d.size()); vector< int > l(length), r(length), ord(length); iota(begin(ord), end(ord), 0); for(int level = MAXLOG - 1; level >= 0; level--) { matrix[level] = SuccinctIndexableDictionary(length + 1); int left = 0, right = 0; for(int i = 0; i < length; i++) { if(((v[ord[i]] >> level) & 1)) { matrix[level].set(i); r[right++] = ord[i]; } else { l[left++] = ord[i]; } } mid[level] = left; matrix[level].build(); ord.swap(l); for(int i = 0; i < right; i++) { ord[left + i] = r[i]; } ds[level].assign(length + 1, 1); ds[level][0] = 1; for(int i = 0; i < length; i++) { ds[level][i + 1] = ds[level][i] * d[ord[i]]; } } } pair< int, int > succ(bool f, int l, int r, int level) { return {matrix[level].rank(f, l) + mid[level] * f, matrix[level].rank(f, r) + mid[level] * f}; } // count d[i] s.t. (l <= i < r) && (v[i] < upper) D rect_sum(int l, int r, T upper) { D ret = 1; for(int level = MAXLOG - 1; level >= 0; level--) { bool f = ((upper >> level) & 1); if(f) ret *= ds[level][matrix[level].rank(false, r)] / ds[level][matrix[level].rank(false, l)]; tie(l, r) = succ(f, l, r, level); } return ret; } D rect_sum(int l, int r, T lower, T upper) { return rect_sum(l, r, upper) / rect_sum(l, r, lower); } }; template< typename T, int MAXLOG, typename D > struct CompressedWaveletMatrixRectangleSum { WaveletMatrixRectangleSum< int, MAXLOG, D > mat; vector< T > ys; //x=i,y=v[i],w=d[i]で初期化,yは座圧してくれる,x側は自分で前処理する必要がある CompressedWaveletMatrixRectangleSum() = default; CompressedWaveletMatrixRectangleSum(const vector< T > &v, const vector< D > &d) : ys(v) { sort(begin(ys), end(ys)); ys.erase(unique(begin(ys), end(ys)), end(ys)); vector< int > t(v.size()); for(int i = 0; i < v.size(); i++) t[i] = get(v[i]); mat = WaveletMatrixRectangleSum< int, MAXLOG, D >(t, d); } inline int get(const T &x) { return lower_bound(begin(ys), end(ys), x) - begin(ys); } D rect_sum(int l, int r, T upper) { return mat.rect_sum(l, r, get(upper)); } D rect_sum(int l, int r, T lower, T upper) { return mat.rect_sum(l, r, get(lower), get(upper)); } }; template< typename T, int MAXLOG, typename D > struct XYCompressedWaveletMatrixRectangleSum { CompressedWaveletMatrixRectangleSum< T, MAXLOG, D > mat; vector< T >xs; XYCompressedWaveletMatrixRectangleSum(const vector< T > &x, const vector< T > &y, const vector< D > &d) : xs(x.size()) { vector< int > ord(x.size()); iota(ord.begin(), ord.end(), 0); sort(ord.begin(), ord.end(), [&](int i, int j){return x[i] < x[j];}); vector< T > ty(x.size()); vector< D > td(x.size()); for(int i = 0; i < x.size(); i++){ xs[i] = x[ord[i]]; ty[i] = y[ord[i]]; td[i] = d[ord[i]]; } mat = CompressedWaveletMatrixRectangleSum< T, MAXLOG, D >(ty, td); } inline int get(const T &x) { return lower_bound(begin(xs), end(xs), x) - begin(xs); } D rect_sum(T l, T r, T lower, T upper) { return mat.rect_sum(get(l), get(r), lower, upper); } }; //前処理はmaxa=10^7で150ms,78MB、10^8で1800ms,780MB程度 struct osa_k{ int maxa; vectordata;//data[i]:iの最小の素因数 osa_k(int a):maxa(a){ data.assign(maxa+1,1); build(); } void build(){ for(int i=0;i<=maxa;i++)data[i] = i; for(int i=2;i*i<=maxa;i++){ if(data[i] < i)continue; for(int j=i*i;j<=maxa;j+=i){ if(data[j] == j)data[j] = i; } } } bool isPrime(int x){ return (x >= 2)&&(data[x] == x); } mapfactoring(int x){ mapret; while(x > 1){ ret[data[x]]++; x /= data[x]; } return ret; } vectordivisor_enum(int x){ auto v = factoring(x); vectorret; ret.push_back(1); for(auto z:v){ int sz = ret.size(); int tmp = z.fi; for(int i=0;i prime_table(ll n) { vector< bool > prime(n + 1, true); if(n >= 0) prime[0] = false; if(n >= 1) prime[1] = false; for(ll i = 2; i * i <= n; i++) { if(!prime[i]) continue; for(ll j = i + i; j <= n; j += i) { prime[j] = false; } } return prime; } void solve(){ ll res=0,buf=0; bool judge = true; ll n;cin>>n; osa_k osak(200005); vectora(n); rep(i,0,n)cin>>a[i]; vectorlv,rv; vectorv; vector>>st(200005); //pos,factor rep(i,0,n){ auto mp=osak.factoring(a[i]); //OUT(a[i],mp); for(auto z:mp){ int now=0; while(nowz.se){ st[z.fi].emplace(p.fi,p.se); break; } else now=p.se; } st[z.fi].emplace(i,z.se); } } { rep(i,0,200005){ int now=0; while(!st[i].empty()){ auto p=poll(st[i]); lv.PB(p.fi);rv.PB(n);v.PB(mpow(i,p.se-now)); now=p.se; } } } XYCompressedWaveletMatrixRectangleSum wm(lv,rv,v); //OUT(lv,rv,v); int q;cin>>q; ll preans=1; while(q--){ ll a,b;cin>>a>>b; ll x=(a*preans)%MOD9,z=(b*preans)%MOD9; ll y=x%n+1,w=z%n+1; if(y>w)swap(y,w); y--;w--; //OUT(y,w); preans=wm.rect_sum(y,w+1,w+1,n+1).x; cout<>T; while(T--){ solve(); } return 0; }