
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 classic "The Nine Chapters on the Mathematical Art," there is a problem that states: "There is a wall that is 5 feet thick, and two mice are burrowing through it from opposite sides. On the first day, they each burrow 1 foot. The bigger mouse doubles its progress every day, while the smaller mouse halves its remaining distance every day. How many days will it take for them to meet, and how many feet will the bigger mouse have burrowed at that point?"

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