#include #include using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; typedef vector vi; typedef vector vl; typedef vector vvl; typedef vector vvvl; typedef vector vvvvl; typedef vector vb; typedef vector vvb; typedef vector vvvb; typedef vector vvvvb; typedef pair pl; typedef pair ppl; typedef pair pppl; typedef pair pppppl; #define rep(i,a,b) for(int i=(a);i<(b);i++) #define rrep(i,a,b) for(int i=(b)-1;i>=(a);i--) #define all(a) begin(a),end(a) #define sz(a) (int)(a).size() #define F first #define S second #define bs(A,x) binary_search(all(A),x) #define lb(A,x) (ll)(lower_bound(all(A),x)-A.begin()) #define ub(A,x) (ll)(upper_bound(all(A),x)-A.begin()) #define cou(A,x) (ll)upper_bound(all(A),x)-lower_bound(all(A),x)) templateusing min_priority_queue=priority_queue,greater>; templatebool chmax(T&a,T b){if(abool chmin(T&a,T b){if(b vm; typedef vector vvm; typedef vector vvvm; typedef vector vvvvm; ostream&operator<<(ostream&os,mint a){os<>(istream&is,mint&a){int x;is>>x;a=mint(x);return is;} //*/ templateostream&operator<<(ostream&os,pairp){os<istream&operator>>(istream&is,pair&p){is>>p.F>>p.S;return is;} templateostream&operator<<(ostream&os,vectorv){rep(i,0,sz(v))os<istream&operator>>(istream&is,vector&v){for(T&in:v)is>>in;return is;} int main(){ cin.tie(0)->sync_with_stdio(0); cin.exceptions(cin.failbit); ll K;cin>>K; vector>A(K),B(K); rep(i,0,K){ ll t; cin>>A[i].F>>t; A[i].S=t; B[K-1-i]=A[i]; reverse(all(B[K-1-i].F)); } vector<__int128>X(K+1),Y(K+1); rep(i,0,K)X[i+1]=X[i]+sz(A[i].F)*A[i].S; rep(i,0,K)Y[i+1]=Y[i]+sz(B[i].F)*B[i].S; vector<__int128>Z=X; Z.insert(Z.end(),all(Y)); sort(all(Z)); Z.erase(unique(all(Z)),Z.end()); mint::set_mod(701993909); mint b=rand(),r=b.inv(); vvm P(K),Q(K); rep(i,0,K){ P[i].resize(sz(A[i].F)+1); rep(j,0,sz(A[i].F))P[i][j+1]=P[i][j]+(A[i].F[j]-'0')*b.pow(j); } rep(i,0,K){ Q[i].resize(sz(B[i].F)+1); rep(j,0,sz(B[i].F))Q[i][j+1]=Q[i][j]+(B[i].F[j]-'0')*b.pow(j); } functionf=[&](vm&R,ll i,ll d){ ll N=sz(R)-1; if(i+d<=N)return (R[i+d]-R[i])*r.pow(i); if(i){ mint s=f(R,0,d-(N-i)); return (R[N]-R[i])*r.pow(i)+s*b.pow(N-i); } ll p=d/N; mint t=b.pow(N); return R[d-N*p]*b.pow(N*p)+R[N]*(t.pow(p)-1)/(t-1); }; ll x=0,y=0; rep(i,0,sz(Z)-1){ if(X[x+1]<=Z[i])x++; if(Y[y+1]<=Z[i])y++; __int128 d=Z[i+1]-Z[i]; ll p=(Z[i]-X[x])%sz(A[x].F); ll q=(Z[i]-Y[y])%sz(B[y].F); if(f(P[x],p,d)!=f(Q[y],q,d)){ cout<<"No"<