#include <bits/stdc++.h>
/// You may use:
// The number of students
int N;
// The probability any given student is positive
double P;
// This function performs a test on a subset of samples.
// Its argument is a vector of Booleans of length N,
// where the i-th element is true if the i-th sample should be added to the mix.
// It returns true if (and only if) at least one of the samples in the mix is positive.
bool test_students(std::vector<bool> mask) {
assert(mask.size() == (size_t)N);
std::string mask_str(N, ' ');
for (int i = 0; i < N; i++)
mask_str[i] = mask[i] ? '1' : '0';
printf("Q %s\n", mask_str.c_str());
fflush(stdout);
char answer;
scanf(" %c", &answer);
return answer == 'P';
}
/// You should implement:
// This function will be called once for each test instance.
// It should use test_students to determine which samples are positive.
// It must return a vector of Booleans of length N,
// where the i-th element is true if and only if the i-th sample is positive.
std::vector<bool> answer;
std::vector<bool> test;
std::vector<int> ind;
bool raspunde(int b,int e,bool ok)
{
for(int i=b;i<=e;++i)
test[ind[i]]=1;
bool ver=ok;
if(ok==0)
ver=test_students(test);
for(int i=b;i<=e;++i)
test[ind[i]]=0;
if(b==e)
{
if(ver)
answer[ind[b]]=true;
return ver;
}
if(ver)
{
if(e-b+1>=4)
{
int b1=b+(e-b)/3;
int b2=b+2*(e-b)/3;
ok=raspunde(b,b1,0)|raspunde(b1+1,b2,0);
raspunde(b2+1,e,!ok);
}
else
{
int k=rand()%2;
if(k==1)
{
ok=raspunde(b,(b+e)/2,0);
raspunde((b+e)/2+1,e,!ok);
}
else
{
ok=raspunde((b+e)/2+1,e,0);
raspunde(b,(b+e)/2,!ok);
}
}
}
return ver;
}
std::vector<bool> find_positive()
{
for(int i=0;i<N;++i)
{
answer[i]=test[i]=0;
ind[i]=i;
}
random_shuffle(ind.begin(),ind.end());
if(P>0.2)//subtask 1
{
for(int i=0;i<N;++i)
{
test[i]=true;
answer[i]=test_students(test);
test[i]=false;
}
}
else if(P>0.17)//P=0.2
{
for(int i=0;i<N;i+=4)
raspunde(i,std::min(N-1,i+3),0);
}
else if(P>0.11)//P=0.158765
{
for(int i=0;i<N;i+=8)
raspunde(i,std::min(N-1,i+7),0);
}
else if(P>0.1)//P=0.104571
{
for(int i=0;i<N;i+=16)
raspunde(i,std::min(N-1,i+15),0);
}
else if(P>0.06)//P=0.068648
{
for(int i=0;i<N;i+=8)
raspunde(i,std::min(N-1,i+7),0);
}
else if(P>0.03)//P=0.039856
{
for(int i=0;i<N;i+=60)
raspunde(i,std::min(N-1,i+59),0);
}
else if(P>0.02)//P=0.028545
{
for(int i=0;i<N;i+=25)
raspunde(i,std::min(N-1,i+24),0);
}
else if(P>0.01)//P=0.011546
{
for(int i=0;i<N;i+=120)
raspunde(i,std::min(N-1,i+119),0);
}
else if(P>0.005)//P=0.005256
{
for(int i=0;i<N;i+=105)
raspunde(i,std::min(N-1,i+104),0);
}
else
{
raspunde(0,(N-1)/2,0);
raspunde((N-1)/2+1,N-1,0);
}
return answer;
}
int main() {
int T;
scanf("%d %lf %d", &N, &P, &T);
// You may perform any extra initialization here.
srand(time(0));
answer.resize(N);
ind.resize(N);
test.resize(N);
for (int i = 0; i < T; i++) {
std::vector<bool> answer = find_positive();
assert(answer.size() == (size_t)N);
std::string answer_str(N, ' ');
for (int j = 0; j < N; j++)
answer_str[j] = answer[j] ? '1' : '0';
printf("A %s\n", answer_str.c_str());
fflush(stdout);
char verdict;
scanf(" %c", &verdict);
if (verdict == 'W')
exit(0);
}
return 0;
}
