
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 underwater kingdom, there exist octopuses that can have 6, 7, or 8 legs. Those with 7 legs always lie, while the others always tell the truth. Four octopuses meet, and here is what they said about the total number of legs:
- Blue said: "We have 25 legs in total."
- Green argued: "No, there are 26 legs in total."
- Red claimed there are 27 legs in total.
- Yellow said there are 28 legs in total.

How many legs does each octopus actually have?

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