The problem asks for the output of the given flowchart. The flowchart initializes $A$ to 1 and $B$ to 2. It then enters a loop where $B$ is incremented by 1 and $A$ is updated to $A * B$. The loop continues as long as $B < 5$. Finally, the value of $A$ is printed.

Discrete MathematicsAlgorithmsFlowchartsIterationComputational Thinking
2025/5/6

1. Problem Description

The problem asks for the output of the given flowchart. The flowchart initializes AA to 1 and BB to

2. It then enters a loop where $B$ is incremented by 1 and $A$ is updated to $A * B$. The loop continues as long as $B < 5$. Finally, the value of $A$ is printed.

2. Solution Steps

We will trace the execution of the flowchart step by step.
- Initialization: A=1A = 1, B=2B = 2
- First iteration:
- B=B+1=2+1=3B = B + 1 = 2 + 1 = 3
- B<5B < 5 is true (since 3<53 < 5)
- A=AB=13=3A = A * B = 1 * 3 = 3
- Second iteration:
- B=B+1=3+1=4B = B + 1 = 3 + 1 = 4
- B<5B < 5 is true (since 4<54 < 5)
- A=AB=34=12A = A * B = 3 * 4 = 12
- Third iteration:
- B=B+1=4+1=5B = B + 1 = 4 + 1 = 5
- B<5B < 5 is false (since 5<55 < 5 is false)
- The loop terminates.
- Print AA, which is
1
2.

3. Final Answer

The output of the flowchart is
1

2. So the answer is (2).

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