#include #include #include #include using namespace std; int main() { long long n; cin >> n; string ans; map mp; mp[1] = 1; auto dfs = [&](auto f, long long now) -> long long { if (mp.find(now) != mp.end()) return mp[now]; long long tmp = now / 2; if (tmp * 2 + 1 == now) { if (f(f, tmp) > 0) { return mp[now] = tmp; } } tmp = now / 3; if (tmp * 3 + 1 == now) { if (f(f, tmp) > 0) { return mp[now] = tmp; } } return mp[now] = 0; }; dfs(dfs, n); while (n > 1) { long long v = mp[n]; if (v * 2 + 1 == n) { ans.push_back('A'); } else { ans.push_back('B'); } n = v; } reverse(ans.begin(), ans.end()); cout << ans << endl; }