Time Limit: 0.5 s

Memory Limit: 256.0 MB

Description

You are given a positive integer \(N\) which is greater than 1.
Your task is to construct the lexicographically smallest permutation \(P\) of integers from \(1\) to \(N\) such that:

A permutation \(A\) is lexicographically smaller than a permutation \(B\) if at the first position where they differ, the element in \(A\) is smaller than in \(B\).

For example:

• 1 3 2 is lexicographically smaller than 2 1 3 because 1 < 2.

Among all valid permutations where \(P_i \ne i\), you must choose the lexicographically smallest one.

Input

• The first line contains an integer \(T\) \((1 \le T \le 99)\) — the number of test cases.

• Each of the next \(T\) lines contains a single integer \(N\) \((2 \le N \le 100)\).

Output

For each test case, print:

• A line containing \(N\) space-separated integers — the required permutation

Sample

5
2
3
4
6
10

2 1 
2 3 1 
2 1 4 3 
2 1 4 3 6 5 
2 1 4 3 6 5 8 7 10 9 

Third test case :
The resulting permutation is:
2 1 4 3

This satisfies:
\(P_1 = 2 ≠ 1\)
\(P_2 = 1 ≠ 2\)
\(P_3 = 4 ≠ 3\)
\(P_4 = 3 ≠ 4\)

Among all valid permutations, this is the lexicographically smallest one.

So, the output is:
2 1 4 3