#include using namespace std; using ll=long long; using ld=long double; const ll ILL=2167167167167167167; const int INF=2100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,T b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} bool yneos(bool a,bool upp=0){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} template bool inside(T l,T x,T r){return l<=x&&x> t; rep(i, 0, t) solve(); } void solve(){ ll X; cin >> X; if (X == 1){ cout << "2\n1 2 \ng b\n"; return; } vector tmp; while (X % 4 == 0){ tmp.push_back(4); X /= 4; } rep(i, 2, 200000){ while (X % i == 0){ tmp.push_back(i); X /= i; } } if (X != 1 || vec_sum(tmp) + (int)(tmp.size()) > 200000){ cout << "-1\n"; return; } int N = vec_sum(tmp) + (int)(tmp.size()); cout << N << "\n"; rep(i, 0, tmp.size()){ if (i) cout << i << " " << i + 1 << "\n"; } int ind = tmp.size(); rep(i, 0, tmp.size()){ rep(rp, 0, tmp[i]){ cout << i + 1 << " " << ++ind << "\n"; } } rep(i, 0, N){ cout << (i < (int)tmp.size() ? 'b' : 'g') << (i + 1 == N ? "\n" : " "); } }