The problem presents a pseudocode snippet with a `Do while` loop. The goal is to determine how many times the loop repeats based on the initial values of $n$ and $m$ and the operations within the loop.

Discrete MathematicsAlgorithmsLoopsPseudocode AnalysisIterationComputational Complexity
2025/3/17

1. Problem Description

The problem presents a pseudocode snippet with a `Do while` loop. The goal is to determine how many times the loop repeats based on the initial values of nn and mm and the operations within the loop.

2. Solution Steps

The pseudocode starts with:
n=8n = 8
m=4m = 4
The loop condition is `Do while m > 3`.
Inside the loop, nn is updated as n=n1n = n - 1.
Since nn is not involved in the loop condition, the loop execution only depends on the value of mm.
Let us trace the execution:
Initially, m=4m = 4. Since 4>34 > 3, the loop executes.
Inside the loop, nn becomes 81=78 - 1 = 7, but the value of mm does not change. So, mm is still 44.
Since m=4>3m = 4 > 3, the loop continues to execute. nn becomes 71=67 - 1 = 6, but mm is still 44.
The loop continues indefinitely because mm is never modified within the loop, and it always remains greater than

3. Thus, the repetition never ends.

3. Final Answer

Repetition never ends.

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