#include using namespace std; using ll = int64_t; ll N, K; void input() { ios::sync_with_stdio(false); cin.tie(nullptr); cin >> N >> K; } vector CNT; void kthMMA(ll l, ll k, string& ret) { if (CNT[l-1] >= k) { kthMMA(l - 1, k, ret); ret.push_back('A'); } else if (CNT[l-1] + CNT[l-2] >= k) { kthMMA(l - 2, k - CNT[l-1], ret); ret.push_back('A'); ret.push_back('M'); } else { ll bit = k - CNT[l-1] - CNT[l-2] - 1; ret.resize(l - 2, 'A'); while (bit > 0) { ll b = __builtin_ctz(bit); ret[b] = 'M'; bit &= bit - 1; } ret.push_back('M'); ret.push_back('M'); } } void solve() { CNT.resize(N, 0); CNT[3] = 1; CNT[4] = 4; for (ll i=5; i