This code performs the following operations: 1. **Input Initialization:** ...
September 2, 2025 at 04:33 PM
This code performs the following operations:
-
Input Initialization:
- A
Scanner
objectin
is created to read input from the user. - The first integer input,
t
, is read, representing the number of test cases.
- A
-
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.
- A loop runs
-
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 usingMath.pow(2, j)
(2 raised to the power ofj
), multiplied byb
, and added to the previous value ofsum
.
- The current
- The initial sum is calculated as
-
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.
-
Closing Scanner:
- The
Scanner
object is closed after all input processing.
- The
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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