RFUN - Recursive Functions

Nikki enjoys recursive functions.

This time she enjoys the sorting function. Let 'a' is a permutation of an integers from 1 to n, inclusive, and ai denotes the i-th element of the permutation. Nikki's recursive function f(x), that sorts the first x permutation's elements, works as follows:

  • If x=1, exit the function.
  • Otherwise, call f(x-1), and then make swap(ax-1, ax) (swap the x-th and (x-1)-th elements of a).

Nikki's teacher believes that this function does not work correctly. But that-be do not get an F, the Nikki wants to show the performance of its function. Help her, find a permutation of numbers from 1 to n, such that after performing the Nikki's function (that is call f(n)), the permutation will be sorted in ascending order.

Input

The first line of input contains an integer T (T <= 1000), the number of test cases in the input. T lines follow, one for each test case, each containing a integer n (1 <= n <= 1000) - the size of permutation.

Output

For each test case in a single line print n distinct integers from 1 to n - the required permutation. Numbers in a line should be separated by spaces.

It is guaranteed that the answer exists.

Example

Input:
2
1
2

Output:
1
2 1

Added by:BLANKRK
Date:2014-08-23
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:AASFPC

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