#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; template struct value_compression : vector { bool built = false; using VS = vector; using VS::VS; value_compression(vector v) : vector(move(v)) {} void build() { sort(this->begin(), this->end()); this->erase(unique(this->begin(), this->end()), this->end()); built = true; } template void convert(T first, T last) { assert(built); for (; first != last; ++first) *first = (*this)(*first); } int operator()(S x) { assert(built); return lower_bound(this->begin(), this->end(), x) - this->begin(); } void clear() { this->clear(); built = false; } }; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; VI f(n); rep(i, n) cin >> f[i]; value_compression vc = f; vc.build(); vc.convert(all(f)); int sz = vc.size(); VVI pos(vc.size()); rep(i, n) pos[f[i]].emplace_back(i); constexpr int INF = 1001001001; segtree seg(sz); int ans = 0; auto rmv = [&](int i) { seg.set(f[i], seg.get(f[i]) == 1 ? INF : seg.get(f[i]) - 1); }; auto add = [&](int i) { seg.set(f[i], seg.get(f[i]) == 0 ? 1 : seg.get(f[i]) + 1); }; auto dfs = [&](auto&& self, int l, int r) { if (l == r) return; if (seg.all_prod() >= 2) { for (int i = l; i < r; i++) rmv(i); return; } ans++; int v = seg.max_right(0, [](int x) { return x >= 2; }); int c = *ranges::lower_bound(pos[v], l); rmv(c); if (c - l < r - (c + 1)) { for (int i = l; i < c; i++) rmv(i); self(self, c + 1, r); for (int i = l; i < c; i++) add(i); self(self, l, c); } else { for (int i = c + 1; i < r; i++) rmv(i); self(self, l, c); for (int i = c + 1; i < r; i++) add(i); self(self, c + 1, r); } }; dfs(dfs, 0, n); cout << (ans % 2 ? "Alice" : "Bob") << '\n'; }