05- Java Loops II.java

/*
Problem Statement:
https://www.hackerrank.com/challenges/java-loops/problem

Problem
We use the integers a, b, and n to create the following series:
( a+20 . b), ( a+20 . b + 21 . b), . . . . . , ( a+20 . b + 21 . b + . . . + 2n-1 . b)

You are given q queries in the form of a, b, and n. For each query, print the series corresponding to the given a, b, 
and n values as a single line of n space-separated integers.

input Format
The first line contains an integer, q, denoting the number of queries.
Each line i of the q subsequent lines contains three space-separated integers describing the respective ai, bi, and ni values for that query.

Constraints
0 <= q <= 500
0 <= a, b <= 50
1 <= n <= 15
Output Format
For each query, print the corresponding series on a new line. Each series must be printed in order as a single line of n space-separated integers.

Sample Input
 2
 0 2 10
 5 3 5
 
Sample Output
 2 6 14 30 62 126 254 510 1022 2046
 8 14 26 50 98
 
Explanation
We have two queries:
We use a=0, b=2, and n=10 to produce some series s0, s1, s2,. . . ., sn-1 :
s0 = 0 + 1 . 2 = 2
s1 = 0 + 1 . 2 + 2 . 2 = 6
s2 = 0 + 1 . 2 + 2 . 2 + 4 . 2 = 14
…. and so on.
Once we hit n = 10, we print the first 10 terms as a single line of space-separated integers.

We use a=5, b=3, and n=5 to produce some series s0, s1, s2,. . . ., sn-1 :
s0 = 5 + 1 . 3 = 8
s1 =5 + 1 . 3 + 2 . 3 = 14
s2 = 5 + 1 . 3 + 2 . 3 + 4 . 3 = 26
s2 = 5 + 1 . 3 + 2 . 3 + 4 . 3 + 8 . 3= 50
s2 = 5 + 1 . 3 + 2 . 3 + 4 . 3 + 8 . 3 + 16 . 3 = 98
We print each element of our series as a single line of space-separated values.
*/


import java.util.*;
import java.io.*;

class Solution{
    public static void main(String []argh){
        Scanner in = new Scanner(System.in);
        int t=in.nextInt();
        int[][] arr = new int[t][3];
        int row = 0;
        
        
        // save the inputs in an array
        for(int i=0;i<t;i++){
        	
            int a = in.nextInt();
            int b = in.nextInt();
            int n = in.nextInt();
            
            for(int r=row; r<i+1; r++)
            {
                	arr[r][0]= a;
                	arr[r][1]= b;
                	arr[r][2]= n;
                	 row+=1;
            }
        }  
        
        
       // show the content of the array for testing purpose
      /*  System.out.println("The content of the array is:");
        for(int r=0; r<t; r++)
        {
        	for(int c=0; c<3; c++)
            {
            System.out.println(arr[r][c]);
            }
        }   */ 
        
        
        // read the elements of the array and calculate 
        for(int c=0; c<t; c++) {
        	int ra = arr[c][0];
        	int rb = arr[c][1];
        	int rn = arr[c][2];
        	
        	int total = ra;
            for(int j=0; j<rn; j++)
            {
             total += Math.pow(2, j)*rb;   
             System.out.print(Math.round(total)+" ");  
            
            }
            System.out.println("");
            
        }
        
        
        
    }
}