#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 x; cin >> x; vectorcand; rep2(i, 1, 200001) { if (0 == x % i)cand.push_back(i); } mapmp;// {p*q,min{p+q}}; map>mp2; rep(i, cand.size())rep(j, cand.size()) { long long x = cand[i] * cand[j]; long long y = cand[i] + cand[j]; if (mp.count(x)) { if (chmin(mp[x], y))mp2[x] = { cand[i],cand[j] }; } else { mp[x] = y; mp2[x] = { cand[i],cand[j] }; } } vectormn(3, LINF); mn[0] = x + 1; if (mp.count(x))mn[1] = 2 + mp[x]; int tmp = 0; rep2(i, 1, 200001) { if (0 != x % i)continue; if (!mp.count(x / i))continue; if (chmin(mn[2], 3 + i + mp[x / i]))tmp = i; } 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 << 1 << " " << i + 2 << endl; vectorc(mnn, 'g'); c[0] = 'b'; rep(i, mnn)cout << c[i] << " "; cout << endl; } else if (mnn == mn[1]) { long long p = mp2[x].first; long long q = mp2[x].second; rep(i, p)cout << i + 1 << " " << p + q + 1 << endl; rep(i, q)cout << i + 1 + p << " " << p + q + 2 << endl; cout << p + q + 1 << " " << p + q + 2 << endl; vectorc(mnn, 'g'); c[mnn - 2] = 'b'; c[mnn - 1] = 'b'; rep(i, mnn)cout << c[i] << " "; cout << endl; } else { return -1; long long p = tmp; long long q = mp2[x / tmp].first; long long r = mp2[x / tmp].second; rep(i, p)cout << i + 1 << " " << p + q + r + 1 << endl; rep(i, q)cout << i + 1 + p << " " << p + q + r + 2 << endl; rep(i, r)cout << i + 1 + p + q << " " << p + q + r + 3 << endl; cout << p + q + r + 1 << " " << p + q + r + 2 << endl; cout << p + q + r + 2 << " " << p + q + r + 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; }