This code performs the following operations: 1. **Input Initialization:** ...

September 2, 2025 at 04:33 PM

Scanner in = new Scanner(System.in); int t=in.nextInt(); for(int i=0;i<t;i++){ int a = in.nextInt(); int b = in.nextInt(); int n = in.nextInt(); int sum=a+b; for(int j=1;j<=n;j++){ System.out.print(sum+" "); sum=(int)(sum+(Math.pow(2, j)*b)); } System.out.println(); } in.close();

This code performs the following operations:

  1. Input Initialization:

    • A Scanner object in is created to read input from the user.
    • The first integer input, t, is read, representing the number of test cases.
  2. Outer Loop for Test Cases:

    • A loop runs t times (once for each test case).
    • Inside the loop, three integers (a, b, n) are read:
      • a: The starting integer value.
      • b: The value to add repeatedly in the series.
      • n: The number of terms to generate in the series.
  3. Series Calculation:

    • The initial sum is calculated as a + b.
    • A nested loop generates n terms for the current test case:
      • The current sum is printed.
      • sum is updated using Math.pow(2, j) (2 raised to the power of j), multiplied by b, and added to the previous value of sum.
  4. Output Formatting:

    • All terms for the current test case are printed on one line, separated by spaces.
    • After completing one test case, a new line is printed.
  5. Closing Scanner:

    • The Scanner object is closed after all input processing.

Explanation of the Series

For each test case, the code generates the following series of numbers:

a + b, a + b + (2^1 * b), a + b + (2^1 * b) + (2^2 * b), ...

The terms are cumulatively updated by adding multiples of b scaled by powers of 2.

Example:

Input:

1
5 3 5
  • t = 1: There is one test case.
  • a = 5, b = 3, n = 5.

For this test case:

  • First term: 5 + 3 = 8
  • Second term: 8 + (2^1 * 3) = 8 + 6 = 14
  • Third term: 14 + (2^2 * 3) = 14 + 12 = 26
  • Fourth term: 26 + (2^3 * 3) = 26 + 24 = 50
  • Fifth term: 50 + (2^4 * 3) = 50 + 48 = 98

Output:

8 14 26 50 98
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