
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
At a dog show, each dog was assigned an ordinal number from 1 to 24 by lot. Due to health issues, one of the dogs could not participate in the competition. It turned out that among the remaining 23 dogs, one had a number equal to the arithmetic mean of the numbers of the remaining dogs. What ordinal number did the dog that could not participate in the show have? If the problem has more than one solution, list these numbers without spaces in ascending order.

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