
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 that there are 6 uncolored fish arranged in a row, each of which can be colored red or blue but with the restriction that no two adjacent fish can be colored red, find the number of coloring methods such that there are both red and blue fish.

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