PERMU - Permutation

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A permutation is a sequence of integers p1, p2 ... pn, consisting of n distinct positive integers, each of which doesn't exceed n. Let's denote the i-th element of permutation p as pi. We'll call number n the size of permutation p1, p2 ... pn.

Nickolas adores permutations. He likes some permutations more than the others. He calls such permutations perfect. A perfect permutation is such permutation p that for any i (1 = i = n) (n is the permutation size) the following equations hold ppi = i and pii. Nickolas asks you to print any perfect permutation of size n for the given n.

Input

First line will contain number of test case T, followed by T lines.

Each line contains a single integer n (1 ≤ n ≤ 100) — the permutation size.

Output

If a perfect permutation of size n doesn't exist, print a single integer -1. Otherwise print n distinct integers from 1 to n, p1, p2 ... pn — permutation p, that is perfect. Separate printed numbers by a space.

Example

Input:
3
1
2
4
Output: -1
2 1
2 1 4 3


Added by:Aradhya
Date:2012-10-12
Time limit:0.100s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Rgiit local