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 Rust (1.15.1) (judge verdict: Accepted)

#![allow(unused_imports)]
#[macro_use]
mod reader {
    // mod calc;

    // use calc::*;


    #![allow(dead_code)]
    use std;
    macro_rules! read_line((  ) => {
                           {
                           let mut input = String :: new (  ) ; std :: io ::
                           stdin (  ) . read_line ( & mut input ) . unwrap (
                           ) ; input } } ;);
    pub fn read_to_vec<T: std::str::FromStr>() -> Vec<T> {
        read_line!().split_whitespace().map(|e|
                                                e.parse().ok().unwrap()).collect()
    }
}
#[macro_use]
mod misc {
    #![allow(dead_code)]
    use std;
    #[macro_export]
    macro_rules! bind_from_vec((
                               $ ( $ variable : ident ) , + = $ vector : expr
                               ) => {
                               let mut v = $ vector . clone (  ) . into_iter (
                                ) ; $ (
                               let $ variable = v . next (  ) . unwrap (  ) ;
                               ) + } ;);
}
use reader::*;
use misc::*;
fn main() {
    bind_from_vec!(r , d , x = read_to_vec :: < i32 > (  ));
    let mut x = x;
    for _ in 0..10 { x = r * x - d; println!("{}" , x); }
}