B - Algae

Score : $200$ points

Problem Statement

The development of algae in a pond is as follows.

Let the total weight of the algae at the beginning of the year $i$ be $x_i$ gram. For $i≥2000$, the following formula holds:

• $x_{i+1} = rx_i - D$

You are given $r$, $D$ and $x_{2000}$. Calculate $x_{2001}$, $...$, $x_{2010}$ and print them in order.

Constraints

• $2 ≤ r ≤ 5$
• $1 ≤ D ≤ 100$
• $D < x_{2000} ≤ 200$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$r$ $D$ $x_{2000}$

Output

Print $10$ lines. The $i$-th line ($1 ≤ i ≤ 10$) should contain $x_{2000+i}$ as an integer.

2 10 20

30
50
90
170
330
650
1290
2570
5130
10250

For example, $x_{2001} = rx_{2000} - D = 2 \times 20 - 10 = 30$ and $x_{2002} = rx_{2001} - D = 2 \times 30 - 10 = 50$.

4 40 60

200
760
3000
11960
47800
191160
764600
3058360
12233400
48933560