#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint998244353; const int mod = 998244353; //const int INF = 1e9; const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n) - 1; i >= 0; --i) #define rrep2(i,l,r)for(int i=(r) - 1;i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); long long n; cin >> n; vectormn(3, LINF); mn[0] = n + 1; const int LIM = 200000; vectorcand; rep2(i, 1, 200001) if (0 == n % i)cand.push_back(i); int p0 = -1, q0 = -1; rep(i, cand.size())rep(j, cand.size()) { long long x = cand[i] * cand[j]; long long y = cand[i] + cand[j]; if (n != x) continue; if (y + 2 <= LIM) { if (chmin(mn[1], y + 2)) { p0 = cand[i]; q0 = cand[j]; } } } int p1 = -1, q1 = -1, r1 = -1; rep(i, cand.size())rep(j, cand.size()) rep(k, cand.size()) { long long x = cand[i] * cand[j] * cand[k]; long long y = cand[i] + cand[j] + cand[k]; if (n != x) continue; if (y + 3 <= LIM) { if (chmin(mn[2], y + 3)) { p1 = cand[i]; q1 = cand[j]; r1 = cand[k]; } } } long long mnn = LINF; rep(i, 3)chmin(mnn, mn[i]); if (mnn > 200000) { cout << -1 << endl; return 0; } cout << mnn << endl; if (mnn == mn[0]) { rep(i, mnn - 1)cout << i + 1 << " " << mnn - 1 << endl; vectorc(mnn, 'g'); c[mnn - 1] = 'b'; rep(i, mnn)cout << c[i] << " "; cout << endl; } else if (mnn == mn[1]) { rep(i, p0)cout << i + 1 << " " << p0 + q0 + 1 << endl; rep(i, q0)cout << i + 1 + p0 << " " << p0 + q0 + 2 << endl; cout << p0 + q0 + 1 << " " << p0 + q0 + 2 << endl; vectorc(mnn, 'g'); c[mnn - 2] = 'b'; c[mnn - 1] = 'b'; rep(i, mnn)cout << c[i] << " "; cout << endl; } else { rep(i, p1)cout << i + 1 << " " << p1 + q1 + r1 + 1 << endl; rep(i, q1)cout << i + 1 + p1 << " " << p1 + q1 + r1 + 2 << endl; rep(i, r1)cout << i + 1 + p1 + q1 << " " << p1 + q1 + r1 + 3 << endl; cout << p1 + q1 + r1 + 1 << " " << p1 + q1 + r1 + 2 << endl; cout << p1 + q1 + r1 + 2 << " " << p1 + q1 + r1 + 3 << endl; vectorc(mnn, 'g'); c[mnn - 3] = 'b'; c[mnn - 2] = 'b'; c[mnn - 1] = 'b'; rep(i, mnn)cout << c[i] << " "; cout << endl; } return 0; }