#include "toxic.h"
#include <bits/stdc++.h>
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
void determine_type(int n){
int perm[n];
vector<int>ans(n+1,-1);
iota(perm , perm + n , 1);
shuffle(perm , perm + n , rng);
int toxic;
{
int l = 0 , r = n-1;
while(l < r){
int mid = (l + r) / 2;
vector<int>vec;
for(int j = l;j<=mid;j++)vec.push_back(perm[j]);
if(query_sample(vec) == mid-l+1){
l = mid+1;
}
else {
r = mid;
}
}
toxic = perm[l];
}
// eliminate the strong ones
for(int i = 0;i<n;i+=8){
vector<int>vec;
int bruh = 0;
for(int j = 0;j<8;j++){
if(i+j>=n)continue;
int tmp = 1 << j;
bruh += tmp;
while(tmp--)vec.push_back(perm[i+j]);
}
vec.push_back(toxic);
int cevap = query_sample(vec);
if(cevap == bruh){// S ve R lerden olusan grup
vec.push_back(toxic);
cevap = query_sample(vec);
for(int j = 0;j<8;j++){
if(i+j>=n)continue;
if(cevap & (1 << j))ans[perm[i+j]] = 2;
else ans[perm[i+j]] = 0;
}
}
else{// T S R
for(int j = 0;j<8;j++){
if(cevap & (1 << j))ans[perm[i+j]] = 2;
}
}
}
vector<int>v;
for(int i = 0;i<n;i++)
if(ans[perm[i]] == -1)
v.push_back(perm[i]);
shuffle(v.begin() , v.end() , rng);
const int BSZ = 8;
for(int i = 0;i<v.size();i+=BSZ){
vector<int>vec;
for(int j = i;j<min((int)v.size() , i+BSZ);j++){
vec.push_back(v[j]);
}
while(!vec.empty() and query_sample(vec) == 0){
int l = 0 , r = vec.size()-1;
while(l < r){
int mid = (l + r) / 2;
vector<int>bruh;
for(int k = l;k<=mid;k++)
bruh.push_back(vec[k]);
if(query_sample(bruh))l = mid+1;
else r = mid;
}
ans[vec[l]] = 1;
vec.erase(vec.begin() + l);
}
for(auto itr : vec)
ans[itr] = 0;
}
for(int i = 1;i<=n;i++){
if(ans[i] == 0){
answer_type(i,'R');
// cout << "R";
}
else if(ans[i] == 1){
answer_type(i,'T');
// cout << "T";
}
else {
answer_type(i,'S');
// cout << "S";
}
}
// cout << endl;
}
