#include #include using namespace std; using namespace atcoder; using ll = long long; using mint = modint1000000007; #define rep(i,n) for (int i = 0; i < n; i++) #define rrep(i,n) for (int i = n-1; i >= 0; i--) #define rep2(i,a,b) for (int i = a; i < b; i++) #define rrep2(i,a,b) for (int i = a-1; i >= b; i--) #define rep3(i,a,b,c) for (int i = a; i < b; i+=c) #define rrep3(i,a,b,c) for (int i = a-1; i >= b; i-=c) #define all(v) v.begin(),v.end() #define rall(v) v.rbegin(),v.rend() template bool chmax(T &a, T b){if (a < b){a = b;return true;} else return false;} template bool chmin(T &a, T b){if (a > b){a = b;return true;} else return false;} template T pow(T x, ll y){if (y == 0) return 1.0;T p = pow(x,y/2);if (y%2 == 0) return p*p;else return p*p*x;} int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int l; cin >> l; mint ans = 1; rep(i,l){ ll p,e; cin >> p >> e; ans *= (mint(p).pow(e+1) - (e+1) + (mint(p).pow(e+1)-p)/(p-1))/(p-1); } cout << ans.val() << endl; }