import std.conv, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.range, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) throw new EOFException; tokens = readln.split; } auto token = tokens[0]; tokens.popFront; return token; } int readInt() { return readToken().to!int; } long readLong() { return readToken().to!long; } real readReal() { return readToken().to!real; } 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; } int binarySearch(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = cast(int)(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) => (a < val)); } int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a <= val)); } Int gojo(Int)(Int a, Int b, out Int x, out Int y) { if (b != 0) { Int g = gojo(b, a % b, y, x); y -= (a / b) * x; return g; } x = 1; y = 0; return a; } // as[i] T == bs[i] (mod ms[i]) Tuple!(Int, "b", Int, "m") modSol(Int)(Int[] as, Int[] bs, Int[] ms) { Int B = 0, M = 1; foreach (i; 0 .. ms.length) { const a = as[i] % ms[i], b = bs[i] % ms[i]; const b0 = b - a * B; Int x, y; const g = gojo(a * M, ms[i], x, y); if (b0 % g != 0) { B = M = 0; break; } const m0 = ms[i] / g; B += M * ((x * ((b0 / g) % m0)) % m0); M *= m0; B %= M; } if (B < 0) B += M; return Tuple!(Int, "b", Int, "m")(B, M); } immutable MO = 10L^^9 + 7; int N; BigInt[] X, Y; void main() { try { for (; ; ) { N = readInt(); X = new BigInt[N]; Y = new BigInt[N]; foreach (i; 0 .. N) { X[i] = readLong(); Y[i] = readLong(); } auto a = new BigInt[N]; a[] = BigInt(1); auto res = modSol(a, X, Y); if (res.m == 0) { writeln(-1); } else { auto ans = res.b; if (ans == 0) { ans += res.m; } ans %= MO; writeln(ans); } } } catch (EOFException e) { } }