The Amalagated Consortium Union (ACU) recently discovered a useful (see Problem 3) set of non-negative integers generated by the following function.
g(i, j) = { nj + i mod j + 1, nj + i mod j + 2, ..., nj + j - 1 | n=0, 1, ..., i / j }
Create a program to generate, in ascending order, the set of integers in g(i, j).
InputThe first line will contain the number of data sets to process. Each data set consists of a single line containing non-negative integer i and positive integer j separated by a single space. Both i and j will be less than 100. |
OutputEach data set should produce a single line of integers separated by a single space. | |
Sample input:
4 7 5 16 5 99 10 0 8 |
Sample output:
3 4 8 9 2 3 4 7 8 9 12 13 14 17 18 19 1 2 3 4 5 6 7 |