/* Problem URL: https://codeforces.com/gym/103388/problem/G */ #include using namespace std; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); ll n; cin >> n; vl dp(77); dp[0] = 1; dp[1] = 1; rep(i, 75) { dp[i + 1] += dp[i]; dp[i + 2] += dp[i]; } unordered_map vis; vi ans; function dfs = [&](ll now) { if (now == 1) { return true; } if (vis[now]) { return false; } vis[now] = true; for (int i = 74; i > 0; i--) { if (now % dp[i] == 0) { bool res = dfs(now / dp[i]); if (res) { ans.push_back(i); return true; } } } return false; }; if (!dfs(n)) { cout << "IMPOSSIBLE\n"; return 0; } reverse(all(ans)); string tmp; repv(i, ans) { tmp += string(i, 'A'); tmp += 'B'; } cout << tmp << '\n'; }