Problem:
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.

Sample Input 1

2 10 20

Sample Output 1

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 Input 2

4 40 60

Sample Output 2

200
760
3000
11960
47800
191160
764600
3058360
12233400
48933560

Solution in Ruby (2.3.3) (judge verdict: Accepted)

line = $stdin.gets.split.map{|v| v.to_i }
r = line[0]
D = line[1]
x2k = line[2]

puts x2k1 = r * x2k - D
puts x2k2 = r * x2k1 - D
puts x2k3 = r * x2k2 - D
puts x2k4 = r * x2k3 - D
puts x2k5 = r * x2k4 - D
puts x2k6 = r * x2k5 - D
puts x2k7 = r * x2k6 - D
puts x2k8 = r * x2k7 - D
puts x2k9 = r * x2k8 - D
puts r * x2k9 - D