#include <cstdio>
#include <cstdlib>
#include "xylophone.h"
#include<bits/stdc++.h>
#define INF 1e18
#define fi first
#define se second
#define FOR(i, k, n) for(ll i = k; i <= n; i++)
#define FOR1(i, k, n) for(ll i = k; i >= n; i--)
#define pb push_back
#define fastio ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define vi vector<int>
#define pii pair<int, int>
#define vii vector<pii>
#define ll long long
#define vll vector<ll>
#define pll pair<ll, ll>
#define re return 0
#define mii map<int, int>
#define input "chinaflu.inp"
#define output "chinaflu.out"
#define rf freopen(input, "r", stdin); freopen(output, "w", stdout)
using namespace std;
const int maxn = 3e5 + 5;
const int mod = 1e9 + 9;
const int base = 998244353;
void add(int &a, int b)
{
a += b;
if(a >= mod) a -= mod;
if(a < 0) a += mod;
}
mt19937 rd(chrono::steady_clock::now().time_since_epoch().count());
int rand(int l, int r)
{
return uniform_int_distribution<int>(l, r) (rd);
}
bool vis[5005];
int ans[5005];
void solve(int n)
{
FOR(i, 1, n)
vis[i] = ans[i] = 0;
int l = 1, r = n;
int vt = -1;
while(l <= r)
{
int mid = (l + r) >> 1;
int k = query(1, mid);
if(k == n - 1)
{
vt = mid;
r = mid - 1;
}
else
l = mid + 1;
}
ans[vt] = n;
vis[n] = 1;
l = 1, r = vt - 1;
int vt1;
while(l <= r)
{
int mid = (l + r) >> 1;
int k = query(mid, vt);
if(k == n - 1)
{
vt1 = mid;
l = mid + 1;
}
else
r = mid - 1;
}
ans[vt1] = 1;
vis[1] = 1;
int id = vt1 - 1;
while(id)
{
int k = query(id, id + 1);
if(ans[id + 1] - k <= 0)
{
ans[id] = ans[id + 1] + k;
vis[ans[id]] = 1;
id--;
continue;
}
if(ans[id + 1] + k > n)
{
ans[id] = ans[id + 1] - k;
vis[ans[id]] = 1;
id--;
continue;
}
if(vis[ans[id + 1] + k])
{
ans[id] = ans[id + 1] - k;
vis[ans[id]] = 1;
id--;
continue;
}
if(vis[ans[id + 1] - k])
{
ans[id] = ans[id + 1] + k;
vis[ans[id]] = 1;
id--;
continue;
}
int z = query(id, id + 2);
if(ans[id + 2] > ans[id + 1])
{
if((z == ans[id + 2] - ans[id + 1]) || (z == k))
{
ans[id] = ans[id + 1] + k;
vis[ans[id]] = 1;
id--;
continue;
}
else
{
ans[id] = ans[id + 1] - k;
vis[ans[id]] = 1;
id--;
continue;
}
}
else
{
if((z == ans[id + 1] - ans[id + 2]) || z == k)
{
ans[id] = ans[id + 1] - k;
vis[ans[id]] = 1;
id--;
continue;
}
else
{
ans[id] = ans[id + 1] + k;
vis[ans[id]] = 1;
id--;
continue;
}
}
}
id = vt1 + 1;
while(id < vt)
{
int k = query(id - 1, id);
if(ans[id - 1] + k > n)
{
ans[id] = ans[id - 1] - k;
vis[ans[id]] = 1;
id++;
continue;
}
if(ans[id - 1] - k < 1)
{
ans[id] = ans[id - 1] + k;
vis[ans[id]] = 1;
id++;
continue;
}
if(vis[ans[id - 1] - k])
{
ans[id] = ans[id - 1] + k;
vis[ans[id]] = 1;
id++;
continue;
}
if(vis[ans[id - 1] + k])
{
ans[id] = ans[id - 1] - k;
vis[ans[id]] = 1;
id++;
continue;
}
int z = query(id - 2, id);
if(ans[id - 1] > ans[id - 2])
{
if(z == ans[id - 1] - ans[id - 2] || z == k)
{
ans[id] = ans[id - 1] - k;
vis[ans[id]] = 1;
id++;
continue;
}
else
{
ans[id] = ans[id - 1] + k;
vis[ans[id]] = 1;
id++;
continue;
}
}
else
{
if(z == ans[id - 2] - ans[id - 1] || z == k)
{
ans[id] = ans[id - 1] + k;
vis[ans[id]] = 1;
id++;
continue;
}
else
{
ans[id] = ans[id - 1] - k;
vis[ans[id]] = 1;
id++;
continue;
}
}
}
id = vt + 1;
while(id <= n)
{
int k = query(id - 1, id);
if(ans[id - 1] + k > n)
{
ans[id] = ans[id - 1] - k;
vis[ans[id]] = 1;
id++;
continue;
}
if(ans[id - 1] - k < 1)
{
ans[id] = ans[id - 1] + k;
vis[ans[id]] = 1;
id++;
continue;
}
if(vis[ans[id - 1] - k])
{
ans[id] = ans[id - 1] + k;
vis[ans[id]] = 1;
id++;
continue;
}
if(vis[ans[id - 1] + k])
{
ans[id] = ans[id - 1] - k;
vis[ans[id]] = 1;
id++;
continue;
}
int z = query(id - 2, id);
if(ans[id - 1] > ans[id - 2])
{
if(z == ans[id - 1] - ans[id - 2] || z == k)
{
ans[id] = ans[id - 1] - k;
vis[ans[id]] = 1;
id++;
continue;
}
else
{
ans[id] = ans[id - 1] + k;
vis[ans[id]] = 1;
id++;
continue;
}
}
else
{
if(z == ans[id - 2] - ans[id - 1] || z == k)
{
ans[id] = ans[id - 1] + k;
vis[ans[id]] = 1;
id++;
continue;
}
else
{
ans[id] = ans[id - 1] - k;
vis[ans[id]] = 1;
id++;
continue;
}
}
}
FOR(i, 1, n)
answer(i, ans[i]);
}
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