Problem: You are given one integer n (n > 1).

Recall that a permutation of length n is an array consisting of n distinct integers from 1 to n in arbitrary order. For example, [2, 3, 1, 5, 4] is a permutation of length 5, but [1, 2, 2] is not a permutation (2 appears twice in the array) and [1, 3, 4] is also not a permutation (n = 3 but there is 4 in the array).

Your task is to find a permutation p of length n that there is no index i (1 ≤ i ≤ n) such that p_i = i (so, for all i from 1 to n the condition p_i ≠ i should be satisfied).

You have to answer t independent test cases.

If there are several answers, you can print any. It can be proven that the answer exists for each n > 1.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.

The only line of the test case contains one integer n (2 ≤ n ≤ 100) — the length of the permutation you have to find.

Output

For each test case, print n distinct integers p_1, p_2, …, p_n — a permutation that there is no index i (1 ≤ i ≤ n) such that p_i = i (so, for all i from 1 to n the condition p_i ≠ i should be satisfied).

If there are several answers, you can print any. It can be proven that the answer exists for each n > 1.

Example

Input


2
2
5


Output


2 1
2 1 5 3 4

Solution (in CPP):

Solution:
#include <iostream>
#include <bits/stdc++.h>
using namespace std;
typedef long long int l;
#define fastIO              ios::sync_with_stdio(false), cin.tie(0)
#define pf                  push_front
#define pb                  push_back
#define popb                pop_back()
#define popf                pop_front()
#define loop(i,n)           for(int i=0;i<n;i++)
#define loope(i,n)           for(int i=0;i<=n;i++)
#define loop1(i,n)           for(int i=1;i<n;i++)
#define loops(i,x,n)        for(int i=x;i<n;i++)
#define loopr(i,n)          for(int i=n-1;i>=0;i--)
#define loop1e(i,n)          for(int i=1;i<=n;i++)
#define F first
#define S second
#define LB lower_bound
#define UB upper_bound
#define vc vector
#define vll vector<long long>
#define pll pair<long long,long long>
#define eb emplace_back
#define pb push_back
#define mp make_pair
#define INT_BITS 32
#define  st                  l t; cin>>t;
#define  sn                  l n; cin>>n;
#define all(x) x.begin(),x.end()
//#define  unordered_map<l,l>  u;
#define MOD1 1000000007
int main()
{
    st;
    while(t--)
    {

        l n;
        cin>>n;
        l a[n];
        l k = n;
for(int i=0;i<n;i++){
            a[i]=k;
            k--;
        }
        if(n&1){
            int p=n/2;
            swap(a[p],a[p+1]);
        }
        for(int i=0;i<n;i++){
            cout<<a[i]<<" ";
        }
        cout<<endl;
       // cout<<endl;

    }
    return 0;
}