#include using namespace std; #define _p(...) (void)printf(__VA_ARGS__) #define forr(x,arr) for(auto&& x:arr) #define _overload3(_1,_2,_3,name,...) name #define _rep2(i,n) _rep3(i,0,n) #define _rep3(i,a,b) for(int i=int(a);i=int(a);i--) #define rrep(...) _overload3(__VA_ARGS__,_rrep3,_rrep2,)(__VA_ARGS__) #define ALL(x) (x).begin(), (x).end() #define BIT(n) (1LL<<(n)) #define SZ(x) ((int)(x).size()) #define fst first #define snd second using ll=long long;using pii=pair;using vb=vector; using vi=vector;using vvi=vector;using vvvi=vector; using vl=vector;using vvl=vector;using vvvl=vector; using vd=vector;using vvd=vector;using vvvd=vector; using vpii=vector;using vvpii=vector;using vvvpii=vector; const long long mod = 1000000007; template struct matrix_ { array val; matrix_(vector> ini) { for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) val[i * N + j] = ini[i][j]; } // d=0: zero matrix, d=1: identity matrix matrix_(int d = 0) { for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) val[i * N + j] = T((i == j) * d); } matrix_ operator+(const matrix_ &x) const { matrix_ ret; for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) { ret.val[i * N + j] = val[i * N + j] + x.val[i * N + j]; if (ret.val[i * N + j] > mod) ret.val[i * N + j] -= mod; } return ret; } matrix_ operator*(const matrix_ &x) const { matrix_ ret; for (int i = 0; i < N; i++) for (int k = 0; k < N; k++) for (int j = 0; j < N; j++) { ret.val[i * N + j] += val[i * N + k] * x.val[k * N + j]; if (ret.val[i * N + j] > mod) ret.val[i * N + j] %= mod; } return ret; } matrix_ operator^(unsigned long long p) const { matrix_ ret(1); matrix_ x(*this); while (p) { if (p & 1) ret = ret * x; x = x * x; p >>= 1; } return ret; } T& at(int row, int col) { return val[row * N + col]; } }; using Mat = matrix_; long long powMod(long long x, long long y) { long long r = 1, a = x % mod; while (y) { if (y & 1) r = (r * a) % mod; a = a * a % mod; y /= 2; } return r; } // x^y % mod で y がでっかくて string。 // x の値に制限なし。x が mod と互いに素のときは、powModP を使うべし long long powModS(long long x, const string& y) { long long r = 1; x %= mod; for (char c : y) { int b = c - '0'; r = powMod(r, 10); r = r * powMod(x, b); if (r > 100000000000000000LL) r %= mod; } return r % mod; } void Main() { int N; cin >> N; Mat a({{1,1}, {1,0}}); ll ans = 1; rep(i, N) { ll c; string d; cin >> c >> d; Mat b = a ^ (c+1); ll pat = b.at(0, 0); (ans *= powModS(pat, d)) %= mod; } cout << ans << endl; } int main() { cin.tie(0); ios::sync_with_stdio(false); Main(); return 0; }