#include #define rep(i,a,b) for(int i=a;i=b;i--) #define fore(i,a) for(auto &i:a) #define all(x) (x).begin(),(x).end() #pragma GCC optimize ("-O3") using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); } typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b>5)+1 #define GET(x) (mark[x>>5]>>(x&31)&1) #define SET(x) (mark[x>>5] |= 1<<(x&31)) int mark[MAXL]; int P[50000], Pt = 0; void init() { register int i, j, k; SET(1); int n = 46340; for (i = 2; i <= n; i++) { if (!GET(i)) { for (k = n / i, j = i * k; k >= i; k--, j -= i) SET(j); P[Pt++] = i; } } } long long mul(unsigned long long a, unsigned long long b, unsigned long long mod) { long long ret = 0; for (a %= mod, b %= mod; b != 0; b >>= 1, a <<= 1, a = a >= mod ? a - mod : a) { if (b & 1) { ret += a; if (ret >= mod) ret -= mod; } } return ret; } void exgcd(long long x, long long y, long long &g, long long &a, long long &b) { if (y == 0) g = x, a = 1, b = 0; else exgcd(y, x%y, g, b, a), b -= (x / y) * a; } long long llgcd(long long x, long long y) { if (x < 0) x = -x; if (y < 0) y = -y; if (!x || !y) return x + y; long long t; while (x%y) t = x, x = y, y = t % y; return y; } long long inverse(long long x, long long p) { long long g, b, r; exgcd(x, p, g, r, b); if (g < 0) r = -r; return (r%p + p) % p; } long long mpow(long long x, long long y, long long mod) { // mod < 2^32 long long ret = 1; while (y) { if (y & 1) ret = (ret * x) % mod; y >>= 1, x = (x * x) % mod; } return ret % mod; } long long mpow2(long long x, long long y, long long mod) { long long ret = 1; while (y) { if (y & 1) ret = mul(ret, x, mod); y >>= 1, x = mul(x, x, mod); } return ret % mod; } int isPrime(long long p) { // implements by miller-babin if (p < 2 || !(p & 1)) return 0; if (p == 2) return 1; long long q = p - 1, a, t; int k = 0, b = 0; while (!(q & 1)) q >>= 1, k++; for (int it = 0; it < 2; it++) { a = rand() % (p - 4) + 2; t = mpow2(a, q, p); b = (t == 1) || (t == p - 1); for (int i = 1; i < k && !b; i++) { t = mul(t, t, p); if (t == p - 1) b = 1; } if (b == 0) return 0; } return 1; } long long pollard_rho(long long n, long long c) { long long x = 2, y = 2, i = 1, k = 2, d; while (true) { x = (mul(x, x, n) + c); if (x >= n) x -= n; d = llgcd(x - y, n); if (d > 1) return d; if (++i == k) y = x, k <<= 1; } return n; } void factorize(int n, vector &f) { for (int i = 0; i < Pt && P[i] * P[i] <= n; i++) { if (n%P[i] == 0) { while (n%P[i] == 0) f.push_back(P[i]), n /= P[i]; } } if (n != 1) f.push_back(n); } void llfactorize(long long n, vector &f) { if (n == 1) return; if (n < 1e+9) { factorize(n, f); return; } if (isPrime(n)) { f.push_back(n); return; } long long d = n; for (int i = 2; d == n; i++) d = pollard_rho(n, i); llfactorize(d, f); llfactorize(n / d, f); } /*---------------------------------------------------------------------------------------------------             ∧_∧       ∧_∧  (´<_` )  Welcome to My Coding Space!      ( ´_ゝ`) /  ⌒i     /   \    | |     /   / ̄ ̄ ̄ ̄/  |   __(__ニつ/  _/ .| .|____      \/____/ (u ⊃ ---------------------------------------------------------------------------------------------------*/ //--------------------------------------------------------------------------------------------------- vector enumdiv(ll x) { if (x < 1000000000) { vector S; for (ll i = 1; i*i <= x; i++) if (x%i == 0) { S.push_back(i); if (i*i != x) S.push_back(x / i); } sort(S.begin(), S.end()); return S; } vector v, res; llfactorize(x, v); map cnt; fore(i, v) cnt[i]++; res.push_back(1); vector buf; buf.push_back(1); fore(pa, cnt) { ll p = pa.first; int c = pa.second; vector nxt; fore(y, buf) { ll yy = y; rep(i, 1, c + 1) { yy *= p; res.push_back(yy); nxt.push_back(yy); } } fore(y, nxt) buf.push_back(y); } sort(all(res)); return res; } ll N; //--------------------------------------------------------------------------------------------------- void _main() { cin >> N; ll tmin = infl, tmax = -infl; auto dv = enumdiv(N); /*fore(a, dv) { ll rest = N / a; auto dv2 = enumdiv(rest); fore(b, dv2) { ll c = rest / b; chmin(tmin, a + b + c - 3); chmax(tmax, a + b + c - 3); } }*/ int n = dv.size(); rep(i, 0, n) rep(j, 0, n) { ll a = dv[i], b = dv[j]; if (N % a == 0) if ((N / a) % b == 0) { ll c = N / a / b; chmin(tmin, a + b + c - 3); chmax(tmax, a + b + c - 3); } } printf("%lld %lld\n", tmin, tmax); }