import core.thread; import std.conv, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.range, std.regex; // Input class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { tokens = readln.split; if (tokens.empty && stdin.eof) throw new EOFException; } auto token = tokens[0]; tokens.popFront; return token; } int readInt() { return to!int(readToken); } long readLong() { return to!long(readToken); } real readReal() { return to!real(readToken); } // chmin/chmax void chmin(T)(ref T t, in T f) { if (t > f) t = f; } void chmax(T)(ref T t, in T f) { if (t < f) t = f; } // Pair struct Pair(S, T) { S x; T y; int opCmp( const Pair p) const { return (x < p.x) ? -1 : (x > p.x) ? +1 : (y < p.y) ? -1 : (y > p.y) ? +1 : 0; } int opCmp(ref const Pair p) const { return (x < p.x) ? -1 : (x > p.x) ? +1 : (y < p.y) ? -1 : (y > p.y) ? +1 : 0; } string toString() const { return "(" ~ to!string(x) ~ ", " ~ to!string(y) ~ ")"; } } auto pair(S, T)(inout(S) x, inout(T) y) { return Pair!(S, T)(x, y); } // Array int binarySearch(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = as.length; for (; low + 1 < upp; ) { int mid = (low + upp) >> 1; (test(as[mid]) ? low : upp) = mid; } return upp; } int lowerBound(T)(in T[] as, in T val) { return as.binarySearch((T a) { return (a < val); }); } int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) { return (a <= val); }); } T[] unique(T)(in T[] as) { T[] bs; foreach (a; as) if (bs.empty || bs[$ - 1] != a) bs ~= a; return bs; } immutable long MO = 10^^9 + 7; long[2] mul(in long[2] a, in long[2] b) { return [ (a[0] * b[0] + a[1] * b[1]) % MO, (a[0] * b[1] + a[1] * b[0] + a[1] * b[1]) % MO ]; } int N; BigInt[] C, D; void main(string[] args) { try { for (; ; ) { N = readInt; C = new BigInt[N]; D = new BigInt[N]; foreach (i; 0 .. N) { C[i] = readToken.to!BigInt; D[i] = readToken.to!BigInt; } long ans = 1; foreach (i; 0 .. N) { long[2] x = [ 0, 1 ], y = [ 1, 0 ]; for (auto e = (C[i] + 2).toLong; e; e >>= 1, x = mul(x, x)) if (e & 1) { y = mul(y, x); } debug{ writeln(y); } BigInt q = MO - 1; long xx = y[1], yy = 1; for (auto e = ((D[i] < q) ? D[i] : (q + (D[i] - q) / q * q)).toLong; e; e >>= 1, xx = (xx * xx) % MO) if (e & 1) { yy = (yy * xx) % MO; } (ans *= yy) %= MO; } writeln(ans); } } catch (EOFException) {} }