#include #include #include #include #include using namespace std; static inline string solve(const uint64_t N) noexcept { vector stack; unordered_map cake_status; cake_status.insert({ 3, 'A' }), cake_status.insert({ 4, 'B' }); stack.push_back(3), stack.push_back(4); while (!stack.empty()) { const auto cur = stack.back(); stack.pop_back(); if (cur < N) { if (!cake_status.contains(cur * 2 + 1)) cake_status[cur * 2 + 1] = 'A', stack.push_back(cur * 2 + 1); if (!cake_status.contains(cur * 3 + 1)) cake_status[cur * 3 + 1] = 'B', stack.push_back(cur * 3 + 1); } } string ans; uint64_t cur = N; while (cur != 1) { ans.push_back(cake_status[cur]); switch (cake_status[cur]) { case 'A': cur = (cur - 1) >> 1; break; case 'B': cur = (cur - 1) / 3; break; } } reverse(ans.begin(), ans.end()); return ans; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); uint64_t N; cin >> N; cout << solve(N) << '\n'; return 0; }