
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 the ancient Chinese mathematical work "The Compendious Book on Calculation by Completion and Balancing," there is a passage that reads: "Three hundred and seventy-eight li away, the first day was easy, the next day the pain in the feet decreased by half, and after six days, the goal was finally reached." The meaning of this passage is: "A person walked 378 li. The first day was easy, and from the second day onwards, the distance walked each day was half of the previous day. It took 6 days to reach the destination." What was the distance walked by the person on the first day?

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