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:
//#pragma GCC optimize(3, "Ofast", "inline", "-funroll-all-loops")
//#pragma G++ optimize(3, "Ofast", "inline", "-funroll-all-loops")

#include<bits/stdc++.h>

#define all(x) x.begin(), x.end()
#define pb push_back
#define debug(x) cout << #x << "=" << x << endl
#define rep(i,a,n) for (int i=a;i<=n;i++)
#define per(i,a,n) for (int i=a;i>=n;i--)

using namespace std;

int main(){
    ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
    int t;
    cin >> t;
    while(t--) {
        int n;
        cin >> n;
        for(int i = 1; i <= n; i++) {
            cout << i % n + 1 << " ";
        }
        cout << endl;
    }
}