#include //#include using namespace std; //using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n) - 1; i >= 0; --i) #define rrep2(i,l,r)for(int i=(r) - 1;i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); long long n; cin >> n; vectora; long long now = n; auto dfs = [&](auto &&self)->bool { if (1 == now) return true; if (now > n)return false; if (1 == now % 2) { now = (now - 1) / 2; a.push_back('A'); bool ret = self(self); if (ret)return true; a.pop_back(); now = now * 2 + 1; } if (1 == now % 3) { now = (now - 1) / 3; a.push_back('B'); bool ret = self(self); if (ret)return true; a.pop_back(); now = now * 3 + 1; } return false; }; dfs(dfs); reverse(all(a)); rep(i, a.size())cout << a[i]; cout << endl; return 0; }