#include #include #include #include //#include #include #include #include #include #include //#include #include #include #include //#include #include #include //#include #include #include #include #include const int dx[] = {1, 0, -1, 0}; const int dy[] = {0, 1, 0, -1}; using namespace std; typedef long long ll; typedef vector vi; typedef vector vll; typedef pair pii; const int MAXN = 1000; bool prime[MAXN]; bool done[MAXN][MAXN]; int main() { cin.tie(0); ios::sync_with_stdio(false); for (int i = 2; i < MAXN; i++) prime[i] = true; for (int i = 2; i < MAXN; i++) { if (prime[i]) for (int j = 2; j*i < MAXN; j++) prime[i*j] = false; } string s; cin >> s; if (s.size() > 3) { cout << 8 << endl; return 0; } int N = stoi(s); for (int w = 2; w < N; w++) { int h = N/w+(N%w!=0); vector board(h, vi(w)); for (int j = 0; j < N; j++) { board[j/w][j%w] = j+1; } queue que; memset(done, false, sizeof(done)); que.push(pii(0, 0)); done[0][0] = true; while (!que.empty()) { pii p = que.front(); que.pop(); for (int k = 0; k < 4; k++) { int ny = p.first+dy[k]; int nx = p.second+dx[k]; if (ny < 0 || ny >= h || nx < 0 || nx >= w || board[ny][nx] == 0 || prime[board[ny][nx]]) continue; if (done[ny][nx]) continue; done[ny][nx] = true; que.push(pii(ny, nx)); } } if (done[(N-1)/w][(N-1)%w]) { cout << w << endl; return 0; } } return 0; }