#include #include using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; typedef vector vi; typedef vector vvi; typedef vector vvvi; typedef vector vvvvi; typedef pair pi; typedef pair ppi; typedef pair pppi; typedef pair ppppi; #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 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)) #define sz(c) ((ll)(c).size()) /* #include namespace mp=boost::multiprecision; using Bint=mp::cpp_int; */ templateusing min_priority_queue=priority_queue,greater>; templateostream&operator<<(ostream&os,pair&p){os<istream&operator>>(istream&is,pair&p){is>>p.F>>p.S;return is;} templateostream&operator<<(ostream&os,vector&v){REP(i,sz(v))os<istream&operator>>(istream&is,vector&v){for(T&in:v)is>>in;return is;} 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<>N; vi B(N),C(N); REP(i,N)cin>>B[i]>>C[i]; REP(i,N)C[i]++; vi D=B; REP(i,N)D.emplace_back(C[i]); sort(ALL(D)); D.erase(unique(ALL(D)),D.end()); ll M=sz(D); vm F(M+1),G(M+1); mint ans=0; REP(i,N){ mint t=inv_mod(C[i]-B[i],mod); F[LB(D,B[i])]+=t; F[LB(D,C[i])]-=t; G[LB(D,B[i])]+=t*t; G[LB(D,C[i])]-=t*t; } REP(i,M)F[i+1]+=F[i]; REP(i,M)G[i+1]+=G[i]; REP(i,M-1)ans+=(F[i]*F[i]-G[i])*(D[i+1]-D[i]); ans=(N*(N-1)/2-ans/2)/2; REP(i,N)ans*=i+1; cout<