#include "bits/stdc++.h" using namespace std; #define DEBUG(x) cerr<<#x<<": "< #define vl vector #define vii vector< vector > #define vll vector< vector > #define vs vector #define pii pair #define pis pair #define psi pair #define pll pair template pair operator+(const pair &s, const pair &t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair &s, const pair &t) { return pair(s.first - t.first, s.second - t.second); } template ostream& operator<<(ostream& os, pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define fi first #define se second #define rep(i,n) for(ll i=0;i<(ll)(n);i++) #define rep1(i,n) for(ll i=1;i<=(ll)(n);i++) #define rrep(i,n) for(ll i=(ll)(n)-1;i>=0;i--) #define rrep1(i,n) for(ll i=(ll)(n);i>0;i--) #define REP(i,a,b) for(ll i=(ll)a;i<(ll)b;i++) #define in(x, a, b) (a <= x && x < b) #define all(v) v.begin(),v.end() #define UNIQUE(v) v.erase(unique(all(v)), v.end()) template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; } const ll inf = 1000000001; const ll INF = 2e18; const ll MOD = 1000000007; const double pi = 3.14159265358979323846; #define Sp(p) cout< am) { rep(i, am.size() - 1) { ll g, x, y, z; am[i].first = (am[i].first % am[i].second + am[i].second) % am[i].second; am[i + 1].first = (am[i + 1].first % am[i + 1].second + am[i + 1].second) % am[i + 1].second; g = extgcd(am[i].second, am[i + 1].second, x, y); if (am[i].first%g != am[i].second%g) return pll(-1, 0); //解なし lll lcm = (lll)am[i].second*(am[i + 1].second / g); if (lcm < am[i].second) return pll(-2, 0); //オーバーフロー ll mo = am[i + 1].second = am[i].second * am[i + 1].second; lll v = am[i].first + ((lll)(am[i].second / g) * x % mo * (am[i + 1].first - am[i].first + mo) % mo); am[i + 1].first = (v%mo + mo) % mo; } return am.back(); } int main() { int n; cin >> n; vector am(n); rep(i, n) { cin >> am[i].first >> am[i].second; } auto ans = crt(am); cout << ans.first % MOD << endl; }