The problem asks for the output of a given pseudocode. The pseudocode initializes variables $a$ and $c$, then enters a repeat-until loop where $c$ is incremented and $a$ is updated based on the new value of $c$. The loop continues until $c > 3$. Finally, the value of $a$ is printed.

Discrete MathematicsAlgorithmsPseudocodeIterationLoopsVariable Assignment
2025/3/17

1. Problem Description

The problem asks for the output of a given pseudocode. The pseudocode initializes variables aa and cc, then enters a repeat-until loop where cc is incremented and aa is updated based on the new value of cc. The loop continues until c>3c > 3. Finally, the value of aa is printed.

2. Solution Steps

We will trace the execution of the pseudocode to determine the final value of aa.
Initial values:
a=5a = 5
c=2c = 2
Loop 1:
c=c+1=2+1=3c = c + 1 = 2 + 1 = 3
a=a+c=5+3=8a = a + c = 5 + 3 = 8
Condition: c>3c > 3 is 3>33 > 3, which is false. The loop continues.
Loop 2:
c=c+1=3+1=4c = c + 1 = 3 + 1 = 4
a=a+c=8+4=12a = a + c = 8 + 4 = 12
Condition: c>3c > 3 is 4>34 > 3, which is true. The loop terminates.
The value of aa is printed.

3. Final Answer

The final answer is
1
2.

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