#include "xylophone.h"
using namespace std;
#define pb push_back
#define mp make_pair
#define mt make_tuple
#define all(A) A.begin(), A.end()
#define rall(A) A.rbegin(), A.rend()
using ll = long long;
using ld = long double;
const int N = 5005;
const int M = 405;
const int SQRT = 500;
const int LOG = 20;
const int INF = 1e9;
const int MOD = 1e9+7;
const ld EPS = 1e-9;
const int BASE = 9973;
int memo[N + 1][N + 1];
int ask(int l, int r) {
if (memo[l][r] == -1)
memo[l][r] = query(l, r);
return memo[l][r];
}
void solve(int n) {
int l = 1, r = n;
while (r - l > 1) {
int mid = (l + r) / 2;
if (query(mid, n) == n - 1)l = mid;
else r = mid;
}
for(int i = 1;i<=n;i++){
for(int j = 1;j<=n;j++){
memo[i][j] = -1;
}
}
int A[n+1];
A[l] = 1;
A[l + 1] = 1 + ask(l, l + 1);
if (l > 1) A[l - 1] = 1 + ask(l - 1, l);
for (int i = l + 2;i<=n;i++) {
int x = ask(i - 1, i);
if (A[i - 1] - x < 1) {
A[i] = A[i - 1] + x;
continue;
}
if (A[i - 1] + x > n) {
A[i] = A[i - 1] - x;
continue;
}
if (A[i - 2] < A[i - 1]) {
if (ask(i - 2, i) == ask(i - 2, i - 1))A[i] = A[i - 1] - ask(i - 1, i);
else if (ask(i - 2, i) == ask(i - 1, i))A[i] = A[i - 1] - ask(i - 1, i);
else A[i] = A[i - 1] + ask(i - 1, i);
} else {
if (ask(i - 2, i) == ask(i - 2, i - 1))A[i] = A[i - 1] + ask(i - 1, i);
else if (ask(i - 2, i) == ask(i - 1, i))A[i] = A[i - 1] + ask(i - 1, i);
else A[i] = A[i - 1] - ask(i - 1, i);
}
}
for (int i = l - 2;i>=1;i--) {
int x = ask(i, i + 1);
if (A[i + 1] - x < 1) {
A[i] = A[i + 1] + x;
continue;
}
if (A[i + 1] + x > n) {
A[i] = A[i + 1] - x;
continue;
}
if (A[i + 2] < A[i + 1]) {
if (ask(i, i + 2) == ask(i + 1, i + 2))A[i] = A[i + 1] - ask(i, i + 1);
else if (ask(i, i + 2) == ask(i, i + 1))A[i] = A[i + 1] - ask(i, i + 1);
else A[i] = A[i + 1] + ask(i, i + 1);
} else {
if (ask(i, i + 2) == ask(i + 1, i + 2))A[i] = A[i + 1] + ask(i, i + 1);
else if (ask(i, i + 2) == ask(i, i + 1))A[i] = A[i + 1] + ask(i, i + 1);
else A[i] = A[i + 1] - ask(i, i + 1);
}
}
for (int i = 1;i<=n;i++)answer(i, A[i]);
}
