
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
There is an isosceles trapezoid-shaped piece of paper with the upper base length of 2015 and the lower base length of 2016. From this piece of paper, smaller isosceles trapezoids are to be cut out. The cut trapezoids must have their two bases aligned with the original bases of the trapezoid, and the two acute angles must be equal to the original trapezoid's acute angles. Determine the maximum number of identical isosceles trapezoids that can be cut out.

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