We use the integers , , and to create the following series:
You are given queries in the form of , , and . For each query, print the series corresponding to the given , , and values as a single line of space-separated integers.
Input Format
The first line contains an integer, , denoting the number of queries.
Each line of the subsequent lines contains three space-separated integers describing the respective , , and values for that query.
Output Format
For each query, print the corresponding series on a new line. Each series must be printed in order as a single line of space-separated integers.
Sample Output
2 6 14 30 62 126 254 510 1022 2046
8 14 26 50 98
Explanation
We have two queries:
We use , , and to produce some series :
... and so on.
Once we hit , we print the first ten terms as a single line of space-separated integers.
We use , , and to produce some series :
We then print each element of our series as a single line of space-separated values.