import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, 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.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } struct ModLong(ulong M_) { import std.conv : to; alias M = M_; enum INV_M = 1.0L / M; ulong x; this(ModLong a) { x = a.x; } this(uint x_) { x = x_ % M; } this(ulong x_) { x = cast(ulong)(x_ % M); } this(int x_) { x = ((x_ %= cast(long)(M)) < 0) ? (x_ + cast(long)(M)) : x_; } this(long x_) { x = cast(ulong)(((x_ %= cast(long)(M)) < 0) ? (x_ + cast(long)(M)) : x_); } ref ModLong opAssign(T)(inout(T) a) if (is(T == uint) || is(T == ulong) || is(T == int) || is(T == long)) { return this = ModLong(a); } ref ModLong opOpAssign(string op, T)(T a) { static if (is(T == ModLong)) { static if (op == "+") { x = ((x += a.x) >= M) ? (x - M) : x; } else static if (op == "-") { x = ((x -= a.x) >= M) ? (x + M) : x; } else static if (op == "*") { // https://github.com/kth-competitive-programming/kactl/blob/main/doc/modmul-proof.pdf // This works at least for M < 2^62, assuming the usual >= 80-bit real. const long y = x * a.x - M * cast(ulong)(INV_M * x * a.x); x = (y < 0) ? (y + M) : (y >= cast(long)(M)) ? (y - M) : y; } else static if (op == "/") { this *= a.inv(); } else static assert(false); return this; } else static if (op == "^^") { if (a < 0) return this = inv()^^(-a); ModLong b = this, c = 1U; for (long e = a; e; e >>= 1) { if (e & 1) c *= b; b *= b; } return this = c; } else { return mixin("this " ~ op ~ "= ModLong(a)"); } } ModLong inv() const { ulong a = M, b = x; long y = 0, z = 1; for (; b; ) { const q = a / b; const c = a - q * b; a = b; b = c; const w = y - cast(long)(q) * z; y = z; z = w; } assert(a == 1); return ModLong(y); } ModLong opUnary(string op)() const { static if (op == "+") { return this; } else static if (op == "-") { ModLong a; a.x = x ? (M - x) : 0U; return a; } else static assert(false); } ModLong opBinary(string op, T)(T a) const { return mixin("ModLong(this) " ~ op ~ "= a"); } ModLong opBinaryRight(string op, T)(T a) const { return mixin("ModLong(a) " ~ op ~ "= this"); } bool opCast(T: bool)() const { return (x != 0U); } string toString() const { return x.to!string; } } enum MO = 1234567890123456817L; alias Mint = ModLong!MO; int K; int[] P, E; bool solve() { if (E[K - 1] != 1) { return false; } const N = P[K - 1]; Mint tar = 1; foreach (k; 0 .. K) { tar *= Mint(P[k])^^E[k]; } auto inv = new Mint[N + 1]; inv[1] = 1; foreach (i; 2 .. N + 1) { inv[i] = -((Mint.M / i) * inv[cast(size_t)(Mint.M % i)]); } Mint bn = 1; for (int i = 0; ; ++i) { if (bn == tar) { writeln(N, " ", i); return true; } if (i == N) break; bn *= (N - i); bn *= inv[1 + i]; } return false; } void main() { try { for (; ; ) { K = readInt; P = new int[K]; E = new int[K]; foreach (k; 0 .. K) { P[k] = readInt; E[k] = readInt; } const res = solve(); if (!res) { writeln("-1 -1"); } } } catch (EOFException e) { } }