Arithmetic Progression

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given initial value a, common difference d, and count n, print exactly n values of the progression. The difference may be negative or zero. For n=0 print a blank line.

Input

Three integers a d n.

Output

Exactly n integers separated by single spaces on one line.

Subtasks

• Subtask 1 (20%): $|a|,|d|\le10$, $0\le n\le5$.
• Subtask 2 (30%): $|a|,|d|\le100$, $0\le n\le50$.
• Subtask 3 (50%): $|a|,|d|\le1000$, $0\le n\le1000$.

Examples

Example 1

Input

2 3 4

Output

2 5 8 11

Explanation

For indices 0 to 3, a+t*d is 2,5,8,11.

Example 2

Input

3 -2 3

Output

3 1 -1

Explanation

A negative difference makes the three-element progression decrease.