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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections;
using System.Collections.Generic;
using System.ComponentModel;
using System.IO;
using System.Linq;
using System.Linq.Expressions;
using static System.Console;
using static System.Math;

class Program
{
    Func<int, int, Func<int, int>> f = (r, D) => (x) => r * x - D;
        
    void Solve()
    {
        var r = io.Int;
        var D = io.Int;
        var x_2000 = io.Int;
        var ff = f(r, D);

        var pre = x_2000;
        for (var i = 0; i < 10; i++)
        {
            var nxt = ff(pre);
            WriteLine(nxt);
            pre = nxt;
        }
    }


    SimpleIO io = new SimpleIO();
    public static void Main(string[] args) => new Program().Stream();

    private void Stream()
    {
        //var exStdIn = new System.IO.StreamReader("stdin.txt");
        //SetIn(exStdIn);
        Solve();
        io.Flush();
    }
}

class SimpleIO
{
    string[] _nextBuffer;
    int _bufferCnt;
    char[] cs = new char[] {' ', '"', ','};

    StreamWriter sw = new StreamWriter(OpenStandardOutput())
    {
#if DEBUG
        AutoFlush = true
#else
        AutoFlush = false
#endif
    };

    public SimpleIO()
    {
        _nextBuffer = new string[0];
        _bufferCnt = 0;
        SetOut(sw);
    }

    string Next()
    {
        if (_bufferCnt < _nextBuffer.Length) return _nextBuffer[_bufferCnt++];
        var st = ReadLine();
        while (st == string.Empty) st = ReadLine();
        _nextBuffer = st.Split(cs, StringSplitOptions.RemoveEmptyEntries);
        _bufferCnt = 0;
        return _nextBuffer[_bufferCnt++];
    }

    public string String => Next();
    public char Char => char.Parse(String);
    public int Int => int.Parse(String);
    public long Long => long.Parse(String);
    public double Double => double.Parse(String);
    public void Flush() => Out.Flush();
}