#include #include using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; #define FOR(i,l,r) for(ll i=l;i=l;i--) #define RREP(i,n) RFOR(i,0,n) #define ALL(x) x.begin(),x.end() #define P pair #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) (UB(A,x)-LB(A,x)) templateusing min_priority_queue=priority_queue,greater>; using mint=modint1000000007; //using mint=modint998244353; void chmax(ll&a,ll b){a=max(a,b);} void chmin(ll&a,ll b){a=min(a,b);} void print(vector&A){REP(i,A.size()){if(i)cout<<" ";cout<>pro(vector>A,vector>B){ ll N=A.size(); vector>res(N,vector(N)); REP(i,N)REP(j,N)REP(k,N)res[i][j]+=A[i][k]*B[k][j]; return res; } mint f(vectorA){ mint res=0; REP(i,A.size())res+=pow_mod(2,i,1000000007)*A[i]; return res; } int main(){ ll L;cin>>L; vectorp(L),e(L); REP(i,L)cin>>p[i]>>e[i]; mint ans=1; REP(i,L){ mint res=p[i]*(pow_mod(p[i],e[i]+1,1000000007)-1); res/=p[i]-1;res-=e[i]+1;res/=p[i]-1; ans*=res; } cout<