#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; if (1 == x) { cout << 2 << endl; cout << "1 2" << endl; cout << "b g" << endl; return 0; } const int LIM = 200000; vectorb; rep2(i, 2, LIM + 1) { if (0 != x % i)continue; int cnt = 0; while (0 == x % i) { x /= i; cnt++; } if (2 == i) { while (cnt >= 2) { cnt -= 2; b.push_back(i * 2); } if (cnt)b.push_back(i); } else { while (cnt) { cnt--; b.push_back(i); } } } if (1 != x || b.size() + accumulate(b.begin(), b.end(), 0) > LIM) { cout << -1 << endl; return 0; } int n = b.size() + accumulate(b.begin(), b.end(), 0); int now = b.size(); cout << n << endl; rep(i, b.size()) cout << i + 1 << " " << i + 2 << endl; rep(i, b.size())rep(j, b[i])cout << i + 1 << " " << ++now << endl; rep(i, b.size())cout << "b" << " "; rep(i, n - b.size())cout << "g" << " "; cout << endl; return 0; }