#include using namespace std; using Int = long long; template inline void chmin(T1 &a,T2 b){if(a>b) a=b;} template inline void chmax(T1 &a,T2 b){if(a struct Mint{ static constexpr T mod = MOD; T v; Mint():v(0){} Mint(signed v):v(v){} Mint(long long t){v=t%MOD;if(v<0) v+=MOD;} Mint pow(long long k){ Mint res(1),tmp(v); while(k){ if(k&1) res*=tmp; tmp*=tmp; k>>=1; } return res; } static Mint add_identity(){return Mint(0);} static Mint mul_identity(){return Mint(1);} Mint inv(){return pow(MOD-2);} Mint& operator+=(Mint a){v+=a.v;if(v>=MOD)v-=MOD;return *this;} Mint& operator-=(Mint a){v+=MOD-a.v;if(v>=MOD)v-=MOD;return *this;} Mint& operator*=(Mint a){v=1LL*v*a.v%MOD;return *this;} Mint& operator/=(Mint a){return (*this)*=a.inv();} Mint operator+(Mint a) const{return Mint(v)+=a;} Mint operator-(Mint a) const{return Mint(v)-=a;} Mint operator*(Mint a) const{return Mint(v)*=a;} Mint operator/(Mint a) const{return Mint(v)/=a;} Mint operator-() const{return v?Mint(MOD-v):Mint(v);} bool operator==(const Mint a)const{return v==a.v;} bool operator!=(const Mint a)const{return v!=a.v;} bool operator <(const Mint a)const{return v constexpr T Mint::mod; template ostream& operator<<(ostream &os,Mint m){os< class Enumeration{ private: static vector fact,finv,invs; public: static void init(int n){ n=min(n,M::mod-1); int m=fact.size(); if(n=m;i--) finv[i-1]=finv[i]*M(i); for(int i=m;i<=n;i++) invs[i]=finv[i]*fact[i-1]; } static M Fact(int n){ init(n); return fact[n]; } static M Finv(int n){ init(n); return finv[n]; } static M Invs(int n){ init(n); return invs[n]; } static M C(int n,int k){ if(n vector Enumeration::fact=vector(); template vector Enumeration::finv=vector(); template vector Enumeration::invs=vector(); //INSERT ABOVE HERE const int MAX = 3030; using M = Mint; M dp[2][MAX][MAX]={}; signed main(){ int n; cin>>n; vector ts(n),xs(n); for(int i=0;i>ts[i]>>xs[i]; vector ls(n+1,0),rs(n+2,0); for(int i=0;i; E::init(1e5); dp[0][0][0]=M(1); for(int v=0;vroom) continue; M res=dp[f][v][u]*E::P(room,ls[v+1]); room-=ls[v+1]; for(int j=0;j<=rs[v+1];j++){ int nf=(f+j)&1; dp[nf][v+1][u+ls[v+1]+j]+=res*E::C(rs[v+1],j)*E::P(room,j); } } } } M ans{0}; for(int i=0;i<=n;i++){ ans+=dp[0][n][i]*E::Fact(n-i); ans-=dp[1][n][i]*E::Fact(n-i); } cout<