#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } int main() { ll X; cin >> X; if (X == 1) { cout << 2 << endl; cout << 1 << " " << 2 << endl; cout << "b g" << endl; return 0; } vector divs(200002); ll len = 0; ll now_x = X; for (ll i = 2; i <= 200000; i++) { while (now_x % i == 0) { now_x /= i; divs[i]++; } } if (now_x != 1) { cout << -1 << endl; return 0; } ll all_b = 0; ll all_g = 0; for (ll i = 2; i <= 200000; i++) { if (divs[i] > 0) { if (i == 2) { ll div = divs[i] / 2; ll rem = divs[i] % 2; all_b += div; all_b += rem; all_g += (div * 4 + rem * 2); } else { all_b += divs[i]; all_g += divs[i] * i; } } } debug_out(all_b, all_g); if (all_b + all_g > 200000) { cout << -1 << endl; return 0; } vector ans(0); vector c(all_b + all_g, 'g'); for (ll i = 0; i < all_b; i++) { c[i] = 'b'; } for (ll i = 0; i < all_b - 1; i++) { ans.push_back(pll(i + 1, i + 2)); } ll now_b = 1; ll now_g = all_b + 1; for (ll i = 2; i <= 200000; i++) { if (divs[i] > 0) { if (i == 2) { ll div = divs[i] / 2; ll rem = divs[i] % 2; for (ll j = 0; j < div; j++) { for (ll k = 0; k < 4; k++) { ans.push_back(pll(now_b, now_g)); now_g++; } now_b++; } for (ll j = 0; j < rem; j++) { for (ll k = 0; k < 2; k++) { ans.push_back(pll(now_b, now_g)); now_g++; } now_b++; } } else { for (ll j = 0; j < divs[i]; j++) { for (ll k = 0; k < i; k++) { ans.push_back(pll(now_b, now_g)); now_g++; } now_b++; } } } } cout << all_b + all_g << endl; for (ll i = 0; i < all_b + all_g - 1; i++) { cout << ans[i].first << " " << ans[i].second << endl; } for (ll i = 0; i < all_b + all_g; i++) { cout << c[i] << " "; } cout << endl; }