10690: ABC127 —— B - Algae
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Description
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.
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.
Input
Input is given from Standard Input in the following format:
```
$r$ $D$ $x_{2000}$
```
```
$r$ $D$ $x_{2000}$
```
Output
Print $10$ lines. The $i$-th line ($1 ≤ i ≤ 10$) should contain $x_{2000+i}$ as an integer.
Constraints
- $2 ≤ r ≤ 5$
- $1 ≤ D ≤ 100$
- $D < x_{2000} ≤ 200$
- All values in input are integers.
- $1 ≤ D ≤ 100$
- $D < x_{2000} ≤ 200$
- All values in input are integers.
Sample 1 Input
2 10 20
Sample 1 Output
30
50
90
170
330
650
1290
2570
5130
10250
For example, $x_{2001} = rx_{2000} - D = 2 \times 20 - 10 = 30$ and $x_{2002} = rx_{2001} - D = 2 \times 30 - 10 = 50$.
Sample 2 Input
4 40 60
Sample 2 Output
200
760
3000
11960
47800
191160
764600
3058360
12233400
48933560