#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;} ll pow_mod(ll _a,ll b,ll m){ __int128 res=1,a=_a%m; while(b){ if(b%2)res=res*a%m; a=a*a%m;b/=2; } return res; } bool is_prime(ll N){ if(N==1)return false; if(N==2)return true; if(N%2==0)return false; ll s=0,d=N-1; while(d%2==0)d/=2,s++; vectorA={2,325,9375,28178,450775,9780504,1795265022}; for(auto a:A){ long long g=__gcd(a,N); if(g>1){ if(g!=N)return false; continue; } __int128 x=pow_mod(a,d,N); if(x!=1&&x!=N-1){ bool ok=0; for(int i=0;isync_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()); ll p=rand(); while(!is_prime(p))p=rand(); mint::set_mod(p); 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,__int128 d){ ll N=sz(R)-1; assert(0<=i&&i