#include<bits/stdc++.h>
#include"toxic.h"
using namespace std;
mt19937 rng(69420);
int query_sample(vector<int> species);
int h[301];
int shuffled_query(vector<int> speices){
for(auto &v: speices)v = h[v];
return query_sample(speices);
}
void shuffled_answer(int x, char c){
answer_type(h[x], c);
}
void determine_type(int n){
int l = 1, r = n;
iota(h+1, h+n+1, 1);
// shuffle(h+1, h+n+1, rng);
vector<int> vec(n);
vector<bool> bad(n+1, 0);
vector<bool> done(n+1, 0);
iota(vec.begin(), vec.end(), 1);
while(l < r){
int mid = (l+r)>>1;
int tmp = shuffled_query(vector<int>(vec.begin() + l - 1, vec.begin() + mid));
if(tmp != mid - l + 1)r = mid;
else l = mid+1;
}
vec.erase(vec.begin() + l - 1);
shuffled_answer(l, 'T');
// vector<int> missing;
int tcnt = 0;
while(!vec.empty()){
// shuffle(vec.begin(), vec.end(), rng);
vector<int> sampling;
vector<int> species;
vector<int> missing;
for(int i = 0; i < min<int>(8, vec.size()); i++){
sampling.push_back(vec[i]);
for(int _ = 0; _ < (1<<i); _++)species.push_back(vec[i]);
}
for(int i = 0; i < sampling.size(); i++)vec.erase(vec.begin());
bool all_bad = 1;
for(auto v: sampling)if(!bad[v])all_bad = 0;
if(all_bad && tcnt == 30){
for(auto v: sampling)shuffled_answer(v, 'R');
}
int tot1 = shuffled_query(species);
if(tot1 == species.size()){
species.push_back(l);
if(all_bad || tcnt == 30){
for(auto v: sampling)shuffled_answer(v, 'R');
continue;
}
int tot2 = shuffled_query(species);
for(int i = 0; i < sampling.size(); i++){
if((tot1&tot2)&(1<<i))shuffled_answer(sampling[i], 'S');
else shuffled_answer(sampling[i], 'R');
}
}
else {
for(int i = 0; i < sampling.size(); i++){
if(tot1&(1<<i)){
shuffled_answer(sampling[i], 'S');
}
else missing.push_back(sampling[i]);
}
int ql = 0, r = missing.size()-1;
while(ql < r){
int mid = (ql+r)>>1;
if(!shuffled_query(vector<int>(missing.begin(), missing.begin() + mid + 1)))r = mid;
else ql = mid+1;
}
tcnt++;
for(int i = 0; i <= ql; i++){
if(i < ql)shuffled_answer(missing[i], 'R');
else shuffled_answer(missing[i], 'T');
}
for(int i = ql+1; i < missing.size(); i++){
bad[missing[i]] = 1;
vec.push_back(missing[i]);
}
}
}
}
