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#include <bits/stdc++.h>

using namespace std;
int k,n,i,j,b,t,tt,ma;
long long z,a,nn;
vector<long long> h;
string  g;
string s,s0,pkn;
bool cr;
uint64_t m,ka,kb,kn,km,cc,e,f,r,kr;
char c;
vector<uint64_t> u,v,u3,ua,ub,w,vt;

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin >> g;
	cin >> n >> t;
	pkn="PKN";
	m=1e9+7;
	ma=3171;
	ka=5738722646268;
	//ka=0;
	kb=ka;
	ka*=ka;
	f=1;
	//for(i=0;i<18;i++) f*=3;
	f=3;
	e=1LL<<32LL;
	kb=8283747373173;
	kb*=kb;
	

	if(g[0]=='A') {kn=ka; kr=kb;}
	else {kn=kb; kr=ka;}
	//kn=0;
	for(tt=0;tt<t;tt++) {
	cin >> s;
	s0="";
	nn=s.length();
	km=kn;
	k=0;
	for(j=0;j<nn;j++) {
		c=s[j]-'0';
		c^=(km&1);
		km>>=1;
		s0+=(char)(c+'0');
		k++;
		if(k==64) { km=kn; k=0;}
	}
	s=s0;
	//cout << s << '\n';
	//for(i=0;i<5000; i++) s+="1";
	s0="";
	for(i=0;i<(32-n%32);i++) s0+='0';
	s=s0+s;
	nn=s.length();
	u={};
	//cout << s << '\n';
	cc=0;
	for(j=0;j<nn;j++) {
		c=s[j]-'0';
		
		cc<<=1;
		cc+=c;
		//u.push_back(c);
		if((j+1)%32==0) {u.push_back(cc); 
			//cout << cc << '\n'; 
			cc=0;}
	}
	j=0;
	//u.push_back(0);
	nn=u.size();
	ua=u;
	ub={};
	r=0;
	cr=1;
	v={};
	while(cr) {
		cr=0;
		r=0;
		for(j=nn-1;j>=0;j--) {
			r<<=32;
			r+=ua[j];
			if(r>=f) {ub.push_back(r/f); r%=f; cr=1;}
			else ub.push_back(0);
		}
		v.push_back(r);
		reverse(ub.begin(),ub.end());
		ua=ub;
		ub={};
		nn=ua.size();
	}
	while(v.size()<ma) v.push_back(0);
	j=0;
	vt={};
	while(j<ma) {
		cout << pkn[v[j]] << flush;
		cin >> c;
		//c=pkn[v[j]];
		if(c==pkn[v[j]]) {vt.push_back(v[j]);}
		else {
			if(c==pkn[(v[j]+1)%3]) vt.push_back((v[j]+1)%3);
			else if (c==pkn[(v[j]+2)%3]) vt.push_back((v[j]+2)%3);
			cout << c << flush;
			cin >> c;
			
		}
		j++;

	}
		
	//cout << v.size()<< '\n';
	//for(auto aa:vt) cout << aa << ' ';
	cout << '\n';
	cr=1;
	ua=vt;
	ub={};
	w={};
	nn=ua.size();
	while(cr) {
		cr=0;
		r=0;
		for(j=nn-1;j>=0;j--) {
			r*=f;
			r+=ua[j];
			if(r>=e) {ub.push_back(r>>32LL); r%=e; cr=1;}
			else ub.push_back(0);
		}
		w.push_back(r);
		reverse(ub.begin(),ub.end());
		ua=ub;
		ub={};
		nn=ua.size();
	}
	s="";
	for(auto aa:w) {
		//cout << aa << '\n';
		s0="";
		for(i=0;i<32;i++){
			c=aa&1;
			aa>>=1;
			s0+=(char)(c+'0');
		}
		reverse(s0.begin(),s0.end());
		s+=s0;
	}
	//cout << s << '\n';
	s0="";
	nn=s.length();
	cout << "! ";
	for(i=0;i<5000;i++)
		s0+='0';	
	s=s0+s;
	nn=s.length();
	
	k=0;
	km=kr;
	//cout << kr << '\n';
	for(i=nn-n;i<nn;i++) {
		c=s[i]-'0';
		c^=(km&1);
		cout << (char)(c+'0');
		km>>=1;
		k++;
		if(k==64) {km=kr; k=0;}
	}
	cout << '\n' << flush;
	
}

}