#include using namespace std; #define ll long long #define rep(i, l, r) for (int i = (int)(l); i < (int)(r); i++) #define all(x) (x).begin(), (x).end() #define siz(x) (int)(x).size() //座標圧縮を行う関数 template vector compress(vector A) { int N = siz(A); vector B = A; sort(B.begin(), B.end()); vector ret(N); rep(i, 0, N) { ret[i] = lower_bound(all(B), A[i]) - B.begin(); } return ret; } struct interval { int l, r; }; int main() { // freopen("in.txt", "r", stdin); // freopen("out2.txt", "w", stdout); //map, setでlogを余分につけたので、時間計算量 O(N log^2 N) int N; cin >> N; vector A(N); for (int i = 0; i < N; i++) cin >> A[i]; //座標圧縮 vector B = compress(A); //短いほうのcntの生成に利用する auto f = [&](auto f, int l, int r, map cnt, set goods) -> int { if (l == r) return 0; if (goods.empty()) return r - l; int m = *goods.begin(); // cout << l << " " << r << " " << m << endl; cnt[B[m]]--; goods.erase(m); //short, long interval sh = {l, m}, lo = {m+1, r}; if (m - l > r - (m + 1)) swap(sh, lo); map cnt_sh; rep(i, sh.l, sh.r) cnt_sh[B[i]]++; set goods_sh; rep(i, sh.l, sh.r) if (cnt_sh[B[i]]) goods_sh.insert(i); int result_sh = f(f, sh.l, sh.r, cnt_sh, goods_sh); //短いほうの区間 [sh.l, sh.r) がなくなった分を cnt, goods に差分更新する rep(i, sh.l, sh.r) cnt[B[i]]--; rep(i, sh.l, sh.r) { if (cnt[B[i]] == 1) goods.insert(i); if (cnt[B[i]] == 0) goods.erase(i); } int result_lo = f(f, lo.l, lo.r, cnt, goods); return result_sh + result_lo; }; map cnt; rep(i, 0, N) cnt[B[i]]++; set goods; rep(i, 0, N) if (cnt[B[i]] == 1) goods.insert(i); int ans = f(f, 0, N, cnt, goods); int turn = N - ans; cout << (turn%2? "Alice" : "Bob") << endl; }