
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
In a factory, workers produce gadgets and gizmos. Each type of product requires a constant but different amount of time per worker. In one hour, 150 workers can produce 450 gadgets and 300 gizmos. In two hours, 90 workers can produce 360 gadgets and 450 gizmos. In four hours, 75 workers can produce 300 gadgets and $n$ gizmos. Find $n$.

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