
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 3cm, 4cm, 7cm, and 9cm, determine the number of different triangles that can be formed by selecting any three of them.

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