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 Perl (v5.18.2) (judge verdict: Accepted)

package MyApp;
use utf8;
use 5.016;

print func(map { chomp; $_ } <>);

sub func {
    my @result;
    my ($n1, $n2, $n3) = split / /, shift;
    my $last = $n3;
    for my $i (1 .. 10) {
        $last = $n1 * $last - $n2;
        push @result, $last;
    }

    return join("\n", @result, '');
}

sub func2 {
    my ($n1, $n2) = @_;
    return $n2 if $n1 >= 13;
    return $n2 / 2 if $n1 >= 6;
    return 0;
}

1;
__END__