#include #pragma GCC optimize("unroll-loops") using namespace std; using std::cout; using std::cin; using std::endl; using ll=long long; using ld=long double; const ll ILL=2167167167167167167; const int INF=2100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,const T &b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} void yneos(bool a,bool upp=0){if(a) cout<<(upp?"YES\n":"Yes\n"); else cout<<(upp?"NO\n":"No\n");} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){assert(!a.empty());T ans=a[0]-a[0];for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} bool prime(int x){ int a=2; while(a*a<=x){ if(x%a==0) return false; a++; } return true; } int mod; void solve(); // oddloop int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t=1; //cin>>t; rep(i,0,t) solve(); } void solve(){ ll N,Q,K; cin>>N>>Q>>K; ll T=20; random_device seed_gen; mt19937 engine(seed_gen()); vector A(N); rep(i,0,N) cin>>A[i]; vector L(Q),R(Q); rep(i,0,Q) cin>>L[i]>>R[i],L[i]--; vector ans(Q,1); while(T){ mod=(int)engine(); if(mod<0||!prime(mod)) continue; T--; ll k=K%mod; vector sum(1+N); ll tmp=1; rep(i,0,N){ sum[i+1]=(sum[i]+tmp*(A[i]))%mod; sum[i+1]=(sum[i+1]+mod)%mod; tmp=(tmp*k)%mod; } rep(i,0,Q) if(sum[L[i]]==sum[R[i]]) ans[i]=0; } rep(i,0,Q) yneos(ans[i]); }