#pragma GCC optimize("O3") #include "bits/stdc++.h" #include #include "atcoder/all" #include using namespace boost::multiprecision; using namespace std; using namespace atcoder; using ll = long long; using ull = unsigned long long; using mint = modint998244353; using mint2 = modint1000000007; const double eps = 1e-9; #define OVERLOAD3(_1, _2, _3, call,...) call #define REP0(n) for (ll i = 0; i < ll(n); ++i) #define REP1(i, n) for (ll i = 0; i < ll(n); ++i) #define REP2(i, a, b) for (ll i = ll(a); i < ll(b); ++i) #define REP(...) OVERLOAD3(__VA_ARGS__, REP2, REP1, REP0)(__VA_ARGS__) #define RREP0(n) for (ll i = ll(n) - 1; i >= 0; --i) #define RREP1(i, n) for (ll i = ll(n) - 1; i >= 0; --i) #define RREP2(i, a, b) for (ll i = ll(a) - 1; i >= b; --i) #define RREP(...) OVERLOAD3(__VA_ARGS__, RREP2, RREP1, RREP0)(__VA_ARGS__) #define REPE(i, c) for (auto&& i : c) #define TCASE() ll _ttt; cin >> _ttt; while(_ttt--) template void COMMON_IN(T&... a) { (cin >> ... >> a); } #define LI(...) ll __VA_ARGS__; COMMON_IN(__VA_ARGS__); using vl = vector; using vvl = vector; using vvvl = vector; #define VLI(a, n) vector a; a.assign(n, 0); for(auto& x : a) cin >> x; #define DLI(a, n) deque a; a.assign(n, 0); for(auto& x : a) cin >> x; #define VSI(a, n) vector a; a.assign(n, ""); for(auto& x : a) cin >> x; #define VVLI(a, n, m) vector> a(n, vector(m)); for(auto& x : a) for(auto& y : x) cin >> y; using vd = vector; using pl = pair; using vpl = vector; struct uv { ll u; ll v; ll c = 1; }; #define VUVI(a, n) vector a; a.assign(n, {0, 0, 1}); for(auto& x : a) {cin >> x.u >> x.v; x.u--; x.v--;} #define VUVCI(a, n) vector a; a.assign(n, {0, 0, 0}); for(auto& x : a) {cin >> x.u >> x.v >> x.c; x.u--; x.v--;} vvl to_edge(const ll n, const vector& v) { vvl ret(n); for (auto& x : v) ret[x.u].push_back(x.v); return ret; } vvl to_edge_d(const ll n, const vector& v) { vvl ret(n); for (auto& x : v) { ret[x.u].push_back(x.v); ret[x.v].push_back(x.u); } return ret; } template using pql = priority_queue; template using pqg = priority_queue, greater>; using vm = vector; using vvm = vector; ostream& operator<<(ostream& os, const mint& v) { os << v.val(); return os; } void yn(bool f) { std::cout << (f ? "Yes" : "No") << "\n"; }; template void ov(const T& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << *it; } }; template<> void ov(const vm& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << it->val(); } }; const ll llhuge = 1LL << 61; //十分でかいが多少足しても溢れない数値 auto gmax(const auto& a, const auto& b) { return a > b ? a : b; }; auto gmin(const auto& a, const auto& b) { return a < b ? a : b; }; bool chmin(auto& a, const auto& b) { const auto olda = a; a = gmin(a, b); return olda != a; } bool chmax(auto& a, const auto& b) { const auto olda = a; a = gmax(a, b); return olda != a; } void sort(auto& v) { std::ranges::sort(v); }; void rev(auto& v) { std::ranges::reverse(v); }; template auto p_sum(const T& v) { T ret(v.size()); std::partial_sum(begin(v), end(v), ret.begin()); return ret; }; template [[nodiscard]] V myat(const T& mp, const K& key) { return mp.find(key) == mp.end() ? V() : mp.at(key); } long long ceil(const long long a, const long long b) { return (a + b - 1) / b; } #include using rational = boost::rational; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); LI(n); VLI(a, n); sort(a); ll fn = n * (n - 1) / 2; rational min(a[0], a[n - 1]); rational max(a[n - 1], a[0]); //二分探索 rational ans = 0; REP(100) { rational mid = (min + max) / 2; bool ok = true; //cout << mid.numerator() << " " << mid.denominator() << endl; rational t(a[n - 1], a[0]); rational v; ll cnt = 0; REP(i, n) { ll x = upper_bound(a.begin(), a.end(), mid * a[i]) - a.begin(); x--; if (x >= 0) { cnt += x; if (x < i) cnt++; } if (x == i) x--; if (x >= 0) { if (t > mid - rational(a[x], a[i])) { t = mid - rational(a[x], a[i]); v = rational(a[x], a[i]); } } } if (cnt == fn) { ans = v; break; } else if (cnt < fn) { min = mid; ans = v; } else { max = mid; ans = v; } } cout << ans.numerator() << " " << ans.denominator() << endl; }