#include #include #include #include #include #include #include #include #include #define MAX_N 100001 #define INF 2147483647 #define REP(i,n) for(int i=0;i<(int)(n);i++) void init(int n); int find(int n); void unite(int x,int y); bool same(int x, int y); int dx[4] = {1,0,0,-1}; int dy[4] = {0,1,-1,0}; using namespace std; typedef long long int ll; struct edge{ int from,to,cost; }; typedef vector > AdjList; AdjList graph; typedef pair P; bool comp(const edge& e1, const edge& e2){ return e1.cost < e2.cost; } int E,V; edge es[100001]; int kruskal(){ sort(es,es+E,comp); init(V); int res = 0; for(int i=0;i 0){ if((n&1) == 1){ ans = (ans*x) % MOD; } x = (x*x) % MOD; n >>= 1; } return ans % MOD; } int ncrgyaku(int n,int r){ long long int gyakuk,gyakur; long long int res = 1,x,y,z; y = powld(ruiseki[r],MOD-2); z = powld(ruiseki[n-r],MOD-2); return (((ruiseki[n]*y) % MOD)*z) % MOD; } int dp[1000][1000][2]; bool solve(int one,int two,int turn){ if(dp[one][two][turn] != -1) return dp[one][two][turn]; if(one == 0 && two == 0) return 1-turn; if(turn){ if((one > 0) && (two > 0)) return dp[one][two][turn] = solve(one-1,two,1-turn) || solve(one+1,two-1,1-turn) || solve(one,two-1,1-turn); else if((one == 0) && (two > 0)){ return dp[one][two][turn] = solve(one+1,two-1,1-turn) || solve(one,two-1,1-turn); }else{ return dp[one][two][turn] = solve(one-1,two,1-turn); } }else{ if(one > 0 && two > 0) return dp[one][two][turn] = solve(one-1,two,1-turn) && solve(one+1,two-1,1-turn) && solve(one,two-1,1-turn); else if(one == 0 && two > 0){ return dp[one][two][turn] = solve(one+1,two-1,1-turn) && solve(one,two-1,1-turn); }else{ return dp[one][two][turn] = solve(one-1,two,1-turn); } } } int main() { REP(i,1000)REP(j,1000)REP(k,2)dp[i][j][k] = -1; int N,M[101],one=0,two=0; cin >> N; REP(i,N)cin >> M[i]; for(int i=0;i v(0); for(int k=2;M[i]!=1;k++){ while(M[i] % k==0){ v.push_back(k); M[i] /= k; } } map mp; for(int j=0;j 0) v.erase((unique(v.begin(),v.end())),v.end()); REP(i,v.size()){ two += mp[v[i]]/2; one += mp[v[i]]%2; } } cout << (solve(one,two,1) ? "Alice": "Bob") << endl; return 0; } int par[MAX_N]; int ranks[MAX_N]; //n要素で初期化 void init(int n){ REP(i,n){ par[i] = i; ranks[i] = 0; } } //木の根を求める int find(int x){ if(par[x] == x){ return x; }else{ return par[x] = find(par[x]); } } void unite(int x,int y){ x = find(x); y = find(y); if(x == y) return ; if(ranks[x] < ranks[y]){ par[x] = y; }else{ par[y] = x; if(ranks[x] == ranks[y]) ranks[x]++; } } bool same(int x, int y){ return find(x) == find(y); }