
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
Given four wooden sticks with lengths of 2cm, 3cm, 4cm, and 6cm, determine the number of triangles that can be formed by selecting three of these sticks as the sides.

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