#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef _MSC_VER #include #endif #define FOR(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep(i, n) FOR(i, 0, n) #define ALL(v) v.begin(), v.end() #define REV(v) v.rbegin(), v.rend() #define MEMSET(v, s) memset(v, s, sizeof(v)) #define UNIQUE(v) (v).erase(unique(ALL(v)), (v).end()) #define MP make_pair #define MT make_tuple using namespace std; typedef long long ll; typedef long double ld; typedef pair P; const ll mod = 1e9 + 7; ll get_mod(string &s, ll m){ ll x = 0; int n = s.size(); rep(i, n){ x = x * 10 + s[i] - '0'; x %= m; } return x; } struct Mat{ ll x[2][2]; Mat(){ rep(i, 2) rep(j, 2) x[i][j] = 0; } }; Mat operator * (const Mat &lhs, const Mat &rhs){ Mat res; rep(i, 2) rep(j, 2) rep(k, 2){ res.x[i][j] += lhs.x[i][k] * rhs.x[k][j] % mod; } rep(i, 2) rep(j, 2) res.x[i][j] %= mod; return res; } ll mod_pow(ll x, ll n){ ll res = !!x; while (n){ if (n & 1) res = res*x%mod; x = x*x%mod; n /= 2; } return res; } Mat E; ll mod_pow(Mat x, ll n){ Mat res = E; while (n){ if (n & 1) res = res*x; x = x*x; n /= 2; } return res.x[0][0]; } ll fib(ll x){ Mat mat; rep(i, 2) rep(j, 2) if (!(i&&j))mat.x[i][j] = 1; return mod_pow(mat, x); } int main(){ cin.tie(0); ios::sync_with_stdio(false); cout.setf(ios::fixed); cout.precision(20); const ll mod = 1e9 + 7; E.x[0][0] = E.x[1][1] = 1; int n; cin >> n; ll ans = 1; rep(i, n){ ll c; string d; cin >> c >> d; ans *= mod_pow(fib(c + 1), get_mod(d, mod - 1)); ans %= mod; } cout << ans % mod << endl; }