/* -*- coding: utf-8 -*- * * 1664.cc: No.1664 Unstable f(n) - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const long long LINF = 1LL << 62; /* typedef */ typedef long long ll; /* global variables */ /* subroutines */ /* main */ int main() { ll n; scanf("%lld", &n); if (n == 1) puts("1"); else { ll minsum = n; // j = 0 -> 1 + k = n for (int i = 2;; i++) { int j = 0; ll p = 1; for (ll m = n; m >= i; j++, m /= i, p *= i); ll sum = i + j + (n - p); minsum = min(minsum, sum); if (j <= 2) break; } int i0 = 1, i1 = 1000000000 + 1;; while (i0 + 1 < i1) { int i = (i0 + i1) / 2; if ((ll)i * i <= n) i0 = i; else i1 = i; } ll k = n - (ll)i0 * i0; minsum = min(minsum, i0 + 2 + k); printf("%lld\n", minsum); } return 0; }