
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
Use 100 matchsticks of equal length to form a triangle, where the length of the longest side is three times that of the shortest side. Find the number of matchsticks used for each side of the triangle that satisfies this condition.

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