
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
A cross-country race was held in the forest. Discussing the results, one squirrel said: "The hare took first place, and the fox was second." Another squirrel objected: "The hare took second place, and the moose was first." To this, the owl observed that in the statements of each squirrel, one part is true and the other is false. Who was first and who was second in the race? Justify your answer.

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