
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 an aquarium, there are three types of fish: goldfish, silverfish, and red fish. If a cat eats all the goldfish, then the number of fish will be 1 less than $\frac{2}{3}$ of the original number. If the cat eats all the red fish, then the number of fish will be 4 more than $\frac{2}{3}$ of the original number. Which type of fish—goldfish or silverfish—is more numerous, and by how much?

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