#include #include using namespace std; int memo[50][50][50][50]; bool dfs(int ev,int od,int p0,int p1,int cur,int n,string S) { assert(ev+od==p0+p1); if(ev+od==0) { if((cur==1)==(S=="Odd")) {//Alice win return n%2==0; } else { return n%2==1; } } if(memo[ev][od][p0][p1]!=0)return memo[ev][od][p0][p1]>0; bool win=false; if(ev>0) { if(p0>0) { if(!dfs(ev-1,od,p0-1,p1,cur,n,S))win=true; } if(p1>0) { if(!dfs(ev-1,od,p0,p1-1,cur,n,S))win=true; } } if(od>0) { if(p0>0) { if(!dfs(ev,od-1,p0-1,p1,cur,n,S))win=true; } if(p1>0) { if(!dfs(ev,od-1,p0,p1-1,cur^1,n,S))win=true; } } memo[ev][od][p0][p1]=win?1:-1; return win; } bool naive(int n,string S) { int ev=0,od=0,p0=0,p1=0; for(int i=1;i<=n;i++) { if(i%2==1)od++; else ev++; } for(int i=0;i<=n-1;i++) { if((i&n-1)==i)p1++; else p0++; } for(int i=0;i<=ev;i++)for(int j=0;j<=od;j++)for(int k=0;k<=p0;k++)for(int l=0;l<=p1;l++)memo[i][j][k][l]=0; return dfs(ev,od,p0,p1,0,n,S); } bool f(long N,string S) { int pc=__builtin_popcountll(N-1); if(N==1||__builtin_popcountll(N+2)==1) { return S!="Even"; } else { return S!="Odd"; } } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); for(int n=1;n<=30;n++) { //cout<>T; for(;T--;) { long N; string S; cin>>N>>S; cout<<(f(N,S)?"Alice\n":"Bob\n"); } }