#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 998244353; // constexpr int MOD = 1000000007; constexpr int DY4[]{1, 0, -1, 0}, DX4[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}; constexpr int DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T& a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T& a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; std::vector prime_sieve(const int n, const bool get_only_prime) { std::vector smallest_prime_factor(n + 1), prime; std::iota(smallest_prime_factor.begin(), smallest_prime_factor.end(), 0); for (int i = 2; i <= n; ++i) { if (smallest_prime_factor[i] == i) [[unlikely]] prime.emplace_back(i); for (const int p : prime) { if (i * p > n || p > smallest_prime_factor[i]) break; smallest_prime_factor[i * p] = p; } } return get_only_prime ? prime : smallest_prime_factor; } struct OsaK { const std::vector smallest_prime_factor; explicit OsaK(const int n) : smallest_prime_factor(prime_sieve(n, false)) {} std::vector> query(int n) const { std::vector> res; while (n > 1) { const int prime = smallest_prime_factor[n]; int exponent = 0; for (; smallest_prime_factor[n] == prime; n /= prime) { ++exponent; } res.emplace_back(prime, exponent); } return res; } }; int main() { constexpr int P = 10000000; int k; cin >> k; int nums[P]{}, p_k = 0, nonzero = k; while (k--) { int p, e; cin >> p >> e; nums[p] = -e; p_k = p; } const OsaK osa_k(p_k); for (int r = 1; r <= p_k - r; ++r) { for (const auto& [p, e] : osa_k.query(p_k - r + 1)) { if (nums[p] == 0) ++nonzero; if ((nums[p] += e) == 0) --nonzero; } for (const auto& [p, e] : osa_k.query(r)) { if (nums[p] == 0) ++nonzero; if ((nums[p] -= e) == 0) --nonzero; } if (nonzero == 0) { cout << p_k << ' ' << r << '\n'; return 0; } } cout << "-1 -1\n"; return 0; }