#include "koala.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define fi first
#define se second
#define vi vector<int>
#define vll vector<long long>
#define pii pair<int, int>
#define pll pair<long long, long long>
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
mt19937_64 rng64(chrono::high_resolution_clock::now().time_since_epoch().count());
inline int rand(int l,int r){return uniform_int_distribution<int>(l, r)(rng);}
inline ll rand(ll l,ll r){return uniform_int_distribution<ll>(l, r)(rng64);}
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif
int minValue(int N, int W) {
int B[N];
for(int i = 0; i < N; i++){
B[i] = 0;
}
B[0] = 1;
int X[N];
playRound(B, X);
for(int i = 0; i < N; i++){
if(i == 0){
if(X[i] <= 1){
return i;
}
}else{
if(X[i] == 0){
return i;
}
}
}
return 0;
}
int maxValue(int N, int W) {
int X[N];
vi vec = {};
for(int i = 0; i < N; i++){
vec.pb(i);
}
for(int j = 0; j < 4; j++){
int val = 1;
while(sz(vec) * (val + 1) <= W && N > (val + 1) * (val + 2) / 2){
val++;
}
for(int i = 0; i < N; i++){
X[i] = 0;
}
for(auto ele : vec){
X[ele] = val;
}
int W[N];
playRound(X, W);
vi nvec = {};
for(auto ele : vec){
if(W[ele] > X[ele]){
nvec.pb(ele);
}
}
vec = nvec;
//debug(vec);
}
return vec[0];
}
int greaterValue(int N, int W) {
int l = 1;
int p = min(9, W / 2);
int mid;
while(l <= p){
mid = (l + p) / 2;
int X[N];
for(int j = 0; j < N; j++){
X[j] = 0;
}
X[0] = X[1] = mid;
int W[N];
playRound(X, W);
if(W[0] > mid){
if(W[1] > mid){
l = mid + 1;
}else{
return 0;
}
}else{
if(W[1] > mid){
return 1;
}else{
p = mid - 1;
}
}
}
return 0;
}
const int MAXN = 107;
int Val[MAXN][MAXN];
void calc(int N, int W){
for(int i = 1; i <= N; i++){
for(int j = i + 1; j <= N; j++){
for(int X = 1; X <= (j + W - N) / (j - i + 1); X++){
if(j > X * (X + 1) / 2 && i <= X * (j - i) + X * (X + 1) / 2){
Val[i][j] = X;
}
}
}
}
}
void f(int l, int p, vi vec, int *P, int N){
// cerr << l << ' ' << p << ' ' << Val[l][p] << '\n';
// debug(vec);
if(l > p){
return;
}
if(l == p){
P[vec[0]] = l;
return;
}
int X[N];
for(int i = 0; i < N; i++){
X[i] = 0;
}
for(auto ele : vec){
X[ele] = Val[l][p];
}
// for(int j = 0; j < N; j++){
// cerr << X[j] << ' ';
// }
// cerr << '\n';
int W[N];
playRound(X, W);
// for(int j = 0; j < N; j++){
// cerr << W[j] << ' ';
// }
// cerr << '\n';
vi big = {};
vi small = {};
for(auto ele : vec){
if(W[ele] > X[ele]){
big.pb(ele);
}else{
small.pb(ele);
}
}
f(l, l + sz(small) - 1, small, P, N);
f(l + sz(small), p, big, P, N);
}
vi f2(vi vec, int N){
if(sz(vec) <= 1){
return vec;
}
vi v1 = {};
vi v2 = {};
for(int j = 0; j < sz(vec) / 2; j++){
v1.pb(vec[j]);
}
for(int j = sz(vec) / 2; j < sz(vec); j++){
v2.pb(vec[j]);
}
v1 = f2(v1, N);
v2 = f2(v2, N);
int wsk1 = 0;
int wsk2 = 0;
vi res = {};
while(wsk1 < sz(v1) || wsk2 < sz(v2)){
if(wsk1 == sz(v1)){
res.pb(v2[wsk2]);
wsk2++;
continue;
}
if(wsk2 == sz(v2)){
res.pb(v1[wsk1]);
wsk1++;
continue;
}
int X[N];
for(int j = 0; j < N; j++){
X[j] = 0;
}
X[v1[wsk1]] = N;
X[v2[wsk2]] = N;
int W[N];
playRound(X, W);
if(W[v1[wsk1]] > N){
res.pb(v2[wsk2]);
wsk2++;
}else{
res.pb(v1[wsk1]);
wsk1++;
}
}
return res;
}
void allValues(int N, int W, int *P) {
vi vec = {};
for(int i = 0; i < N; i++){
vec.pb(i);
}
if(W == 2 * N){
vec = f2(vec, N);
for(int i = 1; i <= N; i++){
P[vec[i - 1]] = i;
}
return;
}
calc(N, W);
f(1, N, vec, P, N);
}
