405181: GYM101810 I Split the Number

You are given an integer x. Your task is to split the number x into exactly n strictly positive integers such that the difference between the largest and smallest integer among them is as minimal as possible. Can you?

The first line contains an integer T (1 ≤ T ≤ 100) specifying the number of test cases.

Each test case consists of a single line containing two integers x and n (1 ≤ x ≤ 10⁹, 1 ≤ n ≤ 1000), as described in the statement above.

For each test case, print a single line containing n space-separated integers sorted in a non-decreasing order. If there is no answer, print  - 1.

1
5 3

1 2 2

The strictly positive integers are the set defined as: . That is, all the integers that are strictly greater than zero: .