E. Evaluating Linear Expressions
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

In the realm of Algebraica, a land governed by the laws of arithmetic and algebra, citizens often challenge each other with mathematical puzzles. One popular challenge involves exploring linear expressions of the form $$$ax + b$$$.

You are given a linear expression in the form $$$ax + b$$$. Your task is to generate the first $$$k$$$ terms of the sequence generated by this expression, starting with $$$x = 1$$$ and ending with $$$x = k$$$.

Given the coefficients $$$a$$$ and $$$b$$$ of the linear expression, along with an integer $$$k$$$, compute and output the first $$$k$$$ terms of the sequence resulting from substituting $$$x = 1, 2, 3, ..., k$$$ into the expression.

Input

The first line contains three integers, $$$a$$$, $$$b$$$, and $$$k$$$ $$$(1 \leq a, b, k \leq 100)$$$

Output

$$$K$$$ integers on a line representing the first $$$K$$$ elements of the sequence.

Examples
Input
1 1 5
Output
2 3 4 5 6
Input
1 10 7
Output
11 12 13 14 15 16 17
Input
3 1 4
Output
4 7 10 13