
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
Cut a large triangular cardboard three times to obtain four smaller triangles of equal size (first operation). Each of these smaller triangles is then cut three times to produce 16 even smaller triangles of equal size (second operation). Continue this process. How many total cuts have been made by the end of the sixth operation?

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