#include<bits/stdc++.h>

using namespace std;
using R=double;

template<class A,class B>
bool chkmin(A &t,B x){ return t>x?t=x,1:0; }

int N,T;
R P;

vector<R> dp;
vector<int> from;

vector<int> res;

int query(int l,int r){
  cout<<"Q ";
  for(int i=1; i<=N; i++){
    if(l<=i&&i<=r) cout<<1;
    else cout<<0;
  }
  cout<<endl;
  char t;
  cin>>t;
  return t=='P';
}

void construct(int l,int r){
  if(l>r) return;
  if(l==r){
    res[l]=query(l,r);
    return ;
  }
  int len=from[r-l+1];
  int p=query(r-len+1,r);
  if(p){
    if(len==1){
      res[r]=1;
    }
    else{
      construct(r-len+1,r);
    }
  }
  construct(l,r-len);
}

void solve(){
  res=vector<int>(N+1);

  if(query(1,N)) construct(1,N);
  else if(T==298) assert(0);

  cout<<"A ";
  for(int i=1; i<=N; i++){
    cout<<res[i];
  }
  cout<<endl;

}

int main(){

  cin>>N>>P>>T;

  dp.assign(N+1,1e9);
  from.resize(N+1);
  dp[0]=0,dp[1]=1;
  from[1]=1;

  for(int i=1; i<=N; i++){
    R coef=1;
    for(int j=1; j<i; j++){
      coef=coef*(1-P);
      if(chkmin(dp[i],dp[i-j]+coef+(dp[j]+1)*(1-coef))){
        from[i]=j;
      }
    }
    //cerr<<i<<' '<<from[i]<<endl;
  }

  while(T--) solve();

  return 0;
}