#include "bits/stdc++.h" using namespace std; #ifdef _DEBUG #include "dump.hpp" #else #define dump(...) #endif //#define int long long #define rep(i,a,b) for(int i=(a);i<(b);i++) #define rrep(i,a,b) for(int i=(b)-1;i>=(a);i--) #define all(c) begin(c),end(c) const int INF = sizeof(int) == sizeof(long long) ? 0x3f3f3f3f3f3f3f3fLL : 0x3f3f3f3f; const int MOD = 1'000'000'007; template bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } return false; } template bool chmin(T &a, const T &b) { if (b < a) { a = b; return true; } return false; } // エラトステネスの篩 vector eratos(int n) { vector is_prime(n + 1, true); is_prime[0] = is_prime[1] = false; for (int i = 2; i*i <= n; i++) if (is_prime[i]) { int j = i + i; while (j <= n) { is_prime[j] = false; j += i; } } return is_prime; } signed main() { cin.tie(0); ios::sync_with_stdio(false); int N; cin >> N; if (N < 50) { auto e = eratos(N); static const int di[] = { 1,0,-1,0 }; static const int dj[] = { 0,1,0,-1 }; using State = tuple; rep(w, 1, N + 1) { dump(w); vector f(N + 1); int H = (N - 1) / w + 1, W = w; auto inrange = [&](int i, int j) { return i >= 0 && i < H && j >= 0 && j < W; }; auto bfs = [&](int si, int sj, int gi, int gj) { queue q; q.emplace(0, si, sj); while (q.size()) { int d, ci, cj; tie(d, ci, cj) = q.front(); q.pop(); if (ci == gi && cj == gj)return d; rep(i, 0, 4) { int ni = ci + di[i], nj = cj + dj[i]; int nx = ni * w + nj + 1; if (!inrange(ni, nj))continue; if (nx > N)continue; if (e[nx])continue; if (f[nx])continue; f[nx] = true; q.emplace(d + 1, ni, nj); } } return -1; }; auto res = bfs(0, 0, (N - 1) / w, (N - 1) % w); dump(res); if (res != -1) { cout << w << endl; break; } } } else { cout << 8 << endl; } return 0; }