#include "combo.h"
#include <bits/stdc++.h>
using namespace std;
string tmp[100];
int solve(int l, int r) {
if(l == r) {
return l;
}
int m = (l + r) >> 1;
string combo;
for(int i = m + 1; i <= r; ++i) {
for(char ch : tmp[i]) {
combo.push_back(ch);
}
}
if(press(combo) >= (int)tmp[0].size()) {
return solve(m + 1, r);
}
return solve(l, m);
}
string guess_sequence(int N) {
string BUTTONS = "ABXY";
for(int i = 0; i < 4; ++i) {
tmp[i] = BUTTONS[i];
}
int first_button = solve(0, 3);
swap(BUTTONS[3], BUTTONS[first_button]);
string res(1, BUTTONS[3]);
for(int i = 2; i <= N; i += 2) {
if(i == N) {
for(int j = 0; j < 3; ++j) {
tmp[j] = res;
tmp[j].push_back(BUTTONS[j]);
}
res.push_back(BUTTONS[solve(0, 2)]);
}
else {
for(int j = 0; j < 3; ++j) {
for(int k = 0; k < 3; ++k) {
tmp[3 * j + k] = res;
tmp[3 * j + k].push_back(BUTTONS[j]);
tmp[3 * j + k].push_back(BUTTONS[k]);
}
}
int val = solve(0, 8);
res.push_back(BUTTONS[val / 3]);
res.push_back(BUTTONS[val % 3]);
}
}
return res;
}
