#include #include #include #include #include using namespace std; static inline string solve(const uint64_t N) noexcept { vector stack; unordered_map cake_status; if (N % 2 == 1) cake_status.insert({ (N - 1) / 2, 'A' }), stack.push_back((N - 1) / 2); if (N % 3 == 1) cake_status.insert({ (N - 1) / 3, 'B' }), stack.push_back((N - 1) / 3); while (!stack.empty()) { const auto cur = stack.back(); stack.pop_back(); if (cur % 2 == 1 && !cake_status.contains((cur - 1) / 2)) cake_status[(cur - 1) / 2] = 'A', stack.push_back((cur - 1) / 2); if (cur % 3 == 1 && !cake_status.contains((cur - 1) / 3)) cake_status[(cur - 1) / 3] = 'B', stack.push_back((cur - 1) / 3); } string ans; uint64_t cur = 1; while (cur != N) { ans.push_back(cake_status[cur]); switch (cake_status[cur]) { case 'A': cur = cur * 2 + 1; break; case 'B': cur = cur * 3 + 1; break; } } return ans; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); uint64_t N; cin >> N; cout << solve(N) << '\n'; return 0; }