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.
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 and and the operations within the loop.
2. Solution Steps
The pseudocode starts with:
The loop condition is `Do while m > 3`.
Inside the loop, is updated as .
Since is not involved in the loop condition, the loop execution only depends on the value of .
Let us trace the execution:
Initially, . Since , the loop executes.
Inside the loop, becomes , but the value of does not change. So, is still .
Since , the loop continues to execute. becomes , but is still .
The loop continues indefinitely because is never modified within the loop, and it always remains greater than
3. Thus, the repetition never ends.
3. Final Answer
Repetition never ends.