#include #include using namespace std; using namespace atcoder; istream &operator>>(istream &is, modint &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint &a) { return os << a.val(); } istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); } istream &operator>>(istream &is, modint1000000007 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint1000000007 &a) { return os << a.val(); } typedef long long ll; typedef vector> Graph; typedef pair pii; typedef pair pll; #define FOR(i,l,r) for (int i = l;i < (int)(r); i++) #define rep(i,n) for (int i = 0;i < (int)(n); i++) #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define my_sort(x) sort(x.begin(), x.end()) #define my_max(x) *max_element(all(x)) #define my_min(x) *min_element(all(x)) template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } const int INF = (1<<30) - 1; const ll LINF = (1LL<<62) - 1; const int MOD = 998244353; const int MOD2 = 1e9+7; const double PI = acos(-1); vector di = {1,0,-1,0}; vector dj = {0,1,0,-1}; #ifdef LOCAL # include # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif int main(){ cin.tie(0); ios_base::sync_with_stdio(false); int N, K; cin >> N >> K; vector dp(N, vector(2, vector(2, vector(2, vector(2))))); rep(a, 2)rep(b, 2)rep(c, 2) dp[N - 3][a][b][c][a == 1 && b == 1 && c == 0] = 1; for(int i = N - 4; i >= 0; i--){ rep(a, 2)rep(b, 2)rep(c, 2)rep(d, 2)rep(f, 2){ int nf = f; nf |= (a == 1 && b == 1 && c == 0); dp[i][a][b][c][nf] = min(K, dp[i][a][b][c][nf] + dp[i + 1][b][c][d][f]); } } K--; bool checked = false; vector> ans; vector S; rep(i, N - 2){ if(i == 0){ bool is_break = false; rep(a, 2)rep(b, 2)rep(c, 2){ if(is_break) break; int v = dp[i][a][b][c][1]; if(checked) v += dp[i][a][b][c][0]; if(v <= K){ K -= v; } else{ ans.push_back({a, b, c}); is_break = true; checked |= a == 1 && b == 1 && c == 0; S.push_back(a); S.push_back(b); S.push_back(c); } } } else{ auto [_, a, b] = ans.back(); rep(c, 2){ int v = dp[i][a][b][c][1]; if(checked) v += dp[i][a][b][c][0]; if(v <= K){ K -= v; } else{ ans.push_back({a, b, c}); checked |= a == 1 && b == 1 && c == 0; S.push_back(c); break; } } } } rep(i, N) cout << (S[i] ? "M" : "A") << (i == N - 1 ? "\n" : ""); }