#include using namespace std; inline int toInt(string s) {int v; istringstream sin(s);sin>>v;return v;} template inline string toString(T x) {ostringstream sout;sout< inline T sqr(T x) {return x*x;} typedef vector vi; typedef vector vvi; typedef vector vs; typedef pair pii; typedef long long ll; typedef pair pll; #define all(a) (a).begin(),(a).end() #define rall(a) (a).rbegin(), (a).rend() #define pb push_back #define mp make_pair #define each(i,c) for(typeof((c).begin()) i=(c).begin(); i!=(c).end(); ++i) #define exist(s,e) ((s).find(e)!=(s).end()) #define range(i,a,b) for(int i=(a);i<(b);++i) #define rep(i,n) range(i,0,n) #define clr(a,b) memset((a), (b) ,sizeof(a)) #define dump(x) cerr << #x << " = " << (x) << endl; #define debug(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl; const double eps = 1e-10; const double pi = acos(-1.0); const ll INF =1LL << 62; const int inf =1 << 29; ll ext_gcd(ll a,ll b,ll& x, ll& y) { if(b==0) return x=1,y=0,a; ll g=ext_gcd(b,a%b,y,x); y-=a/b*x; return g; } ll mod_inv(ll a,ll b){ ll res,dummy,g=ext_gcd(a,b,res,dummy); if(res<0) res+=b, dummy-=a; return res; } ll X[1010],Y[1010],factor[1010]; const ll mod=1000000007; const int nmax=1000010; bool isprime[nmax]; vector primes; void init(){ for(int i=0;i> N; rep(i,N) cin >> X[i] >> Y[i]; ll ans=0LL; int zero=0; rep(i,N) zero+=(X[i]==0); if(zero==N){ rep(i,N)rep(j,i) Y[i]/=__gcd(Y[i],Y[j]); ans=1LL; rep(i,N) ans=(ans*Y[i])%mod; cout << ans << endl; return 0; } set P; rep(i,N){ ll cur=Y[i]; for(auto &f:primes){ if(f*f>cur) break; ll num=1LL; while(cur%f==0) num*=f,cur/=f; if(num==1LL) continue; P.insert(f); } if(cur>1) P.insert(cur); } for(auto &prime:P){ int index=0; rep(i,N){ factor[i]=1LL; ll cur=Y[i]; while(cur%prime==0) factor[i]*=prime,cur/=prime; if(factor[i]>factor[index]) index=i; } rep(i,N)if(i!=index){ if(factor[i]==1) continue; if(X[index]%factor[i]!=X[i]%factor[i]){ cout << -1 << endl; return 0; } Y[i]/=factor[i]; X[i]%=Y[i]; } } vector rearrange; rep(i,N) if(Y[i]>1LL) rearrange.pb({Y[i],X[i]}); sort(begin(rearrange),end(rearrange)); rep(i,rearrange.size()) X[i]=rearrange[i].second,Y[i]=rearrange[i].first; N=rearrange.size(); vector constant(N,0LL); vector coef(N,1LL); vector v(N,0LL); rep(i,N){ // constant = sigma (res*mod) // coef = pi(mod) // constant+coef*v == X // coef*v == (X-constant) // v = coef^-1*(X-constant) v[i]=(X[i]-constant[i]+Y[i])%Y[i]; v[i]=(v[i]*mod_inv(coef[i],Y[i]))%Y[i]; range(j,i+1,N){ constant[j]=(constant[j]+v[i]*coef[j])%Y[j]; coef[j]=(coef[j]*Y[i])%Y[j]; } } for(int i=N-1;i>=0;--i) ans=(ans*Y[i]+v[i])%mod; cout << ans << endl; return 0; }