SP137 PARTIT - Partition

Description

A _partition_ of positive integer m into n components is any sequence a $ _{1} $ ,...,a $ _{n} $ of positive integers such that a $ _{1} $ +...+a $ _{n} $ =m and a $ _{1} $

Input Format

The input begins with the integer t, the number of test cases. Then t test cases follow. For each test case the input consists of three lines, containing the positive integers m, n and k respectively (1

Output Format

For each test case output the ordered elements of the sought partition, separated by spaces.