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 <bits/stdc++.h>

using namespace std;

#define mod 1e9 + 7
#define pi 3.1415926535897932384626433832795
#define FOR(a, c) for (int(a) = 0; (a) < (c); (a)++)
#define FORL(a, b, c) for (int(a) = (b); (a) <= (c); (a)++)
#define FORR(a, b, c) for (int(a) = (b); (a) >= (c); (a)--)
#define FORSQ(a, b, c) for (int(a) = (b); (a) * (a) <= (c); ++(a))
#define FOREACH(a, b) for (auto &(a) : (b))
#define f first
#define s second
#define pb push_back
#define pon pop_back
#define mp make_pair
#define ALL(v) v.begin(), v.end()
#define ALLA(arr, sz) arr, arr + sz
#define SIZE(v) (int)v.size()
#define SORT(v) sort(ALL(v))
#define REVERSE(v) reverse(ALL(v))
#define SORTA(arr, sz) sort(ALLA(arr, sz))

typedef long long int ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<string, string> pss;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<pii> vii;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef priority_queue<ll> PQMAX;
typedef priority_queue<ll, vector<ll>, 
                                greater<ll> > PQMIN;
typedef set<ll> set;


void solve(){
int n;
cin>>n;
cout<<n<<" ";
for(int i=1;i<n;i++){
	cout<<i<<" ";
}
cout<<endl;	
}

int main()
{
	ios_base::sync_with_stdio(false);

	cin.tie(NULL);
	cout.tie(NULL);

	ll t;
	cin >> t;
	while (t--)
	{
		solve();
	}
	return 0;
}