#include #include using namespace std; using namespace atcoder; #define rep(i, n) for(int i=0;i<(n);++i) #define rep1(i, n) for(int i=1;i<=(n);i++) #define ll long long using mint = modint998244353; using P = pair; using lb = long double; using T = tuple; #ifdef LOCAL # include # define dbg(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define dbg(...) (static_cast(0)) #endif int main() { ll n; cin >> n; map memo; auto f = [&](auto f, ll now) -> ll { ll res = 1e18; if(memo.count(now)) return memo[now]; if(now==1) return 0; if((now-1)%2==0) { res = min(res, f(f, (now-1)/2)+1); } if((now-1)%3==0) { res = min(res, f(f, (now-1)/3)+1); } return memo[now] = res; }; ll now = n; string ans; f(f, n); while(now!=1) { if((now-1)%2==0 && memo[(now-1)/2]==memo[now]-1) { now = (now-1)/2; ans += 'A'; } else{ now = (now-1)/3; ans += 'B'; } } reverse(ans.begin(),ans.end()); cout << ans << endl; return 0; }