
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 an equilateral triangle paper along the median line into 4 smaller triangles, which is called the first operation; then cut one of the triangles in the same way into 4 smaller triangles, resulting in a total of 7 small triangles, which is called the second operation; similarly, the third operation results in 10 small triangles. If you want to get 106 small triangles, determine the number of operations required.

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