CF1391A.Suborrays

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, 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).

For a positive integer $n$ , we call a permutation $p$ of length $n$ good if the following condition holds for every pair $i$ and $j$ ( $1 \le i \le j \le n$ ) —

• $(p_i \text{ OR } p_{i+1} \text{ OR } \ldots \text{ OR } p_{j-1} \text{ OR } p_{j}) \ge j-i+1$ , where $\text{OR}$ denotes the bitwise OR operation.

In other words, a permutation $p$ is good if for every subarray of $p$ , the $\text{OR}$ of all elements in it is not less than the number of elements in that subarray.

Given a positive integer $n$ , output any good permutation of length $n$ . We can show that for the given constraints such a permutation always exists.

Each test contains multiple test cases. The first line contains the number of test cases $t$ ( $1 \le t \le 100$ ). Description of the test cases follows.

The first and only line of every test case contains a single integer $n$ ( $1 \le n \le 100$ ).

For every test, output any good permutation of length $n$ on a separate line.

For $n = 3$ , $[3,1,2]$ is a good permutation. Some of the subarrays are listed below.

• $3\text{ OR }1 = 3 \geq 2$ $(i = 1,j = 2)$
• $3\text{ OR }1\text{ OR }2 = 3 \geq 3$ $(i = 1,j = 3)$
• $1\text{ OR }2 = 3 \geq 2$ $(i = 2,j = 3)$
• $1 \geq 1$ $(i = 2,j = 2)$

Similarly, you can verify that $[4,3,5,2,7,1,6]$ is also good.