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 JAVA):

Solution:
import java.io.BufferedReader;
import java.io.InputStreamReader;

public class A686 {

    static BufferedReader reader =
            new BufferedReader(new InputStreamReader(System.in));


    public static void main(String[] args) throws Exception
    {
        // Reading data using readLine
        int t = Integer.parseInt(reader.readLine());
        int i = 1;
        while(i<=t) {
            solve();
            i++;
        }
    }

    private static void solve() throws Exception {
        String nm = reader.readLine();

        int n  = Integer.parseInt(nm);

        StringBuilder sb = new StringBuilder();

        sb.append(n);
        sb.append(" ");

        for(int i=1;i<n;i++) {
            sb.append(i);
            if(i!=n-1) sb.append(" ");
        }

        System.out.println(sb.toString());
    }
}