A15621. Different Differences

An array $a$ consisting of $k$ integers is strictly increasing if $a_1 < a_2 < \dots < a_k$ . For example, the arrays $[1, 3, 5]$ , $[1, 2, 3, 4]$ , $[3, 5, 6]$ are strictly increasing; the arrays $[2, 2]$ , $[3, 7, 5]$ , $[7, 4, 3]$ , $[1, 2, 2, 3]$ are not.

For a strictly increasing array $a$ of $k$ elements, let's denote the characteristic as the number of different elements in the array $[a_2 - a_1, a_3 - a_2, \dots, a_k - a_{k-1}]$ . For example, the characteristic of the array $[1, 3, 4, 7, 8]$ is $3$ since the array $[2, 1, 3, 1]$ contains $3$ different elements: $2$ , $1$ and $3$ .

You are given two integers $k$ and $n$ ( $k \le n$ ). Construct an increasing array of $k$ integers from $1$ to $n$ with maximum possible characteristic.

The first line contains one integer $t$ ( $1 \le t \le 819$ ) — the number of test cases.

Each test case consists of one line containing two integers $k$ and $n$ ( $2 \le k \le n \le 40$ ).

For each test case, print $k$ integers — the elements of the strictly increasing array $a$ with the maximum possible characteristic. If there are multiple answers, print any of them.