
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 are 42 matchsticks of equal length arranged in a specific pattern. Assuming each matchstick is a line segment of length 1, there are 38 triangles in the pattern. To ensure no triangles remain, at least how many matchsticks need to be removed?

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