
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Inventor and self-taught Euclid Algorithm made a machine that works as follows: you can insert a paper rectangle into it, and it will cut off a square (making a cut parallel to the shorter side). Then the remaining rectangle can be inserted into the machine again, and it will cut off another square, and so on. What will happen if we start with a $14 \times 36$ rectangle?

Present the answer in LaTex format: \boxed{Your answer}
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