
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 culture starts with 5 cells. Each cell divides into three cells every three days. However, after the first six days, the rate of division changes, and each cell divides into two cells every three days thereafter. The entire duration observed is 12 days. How many cells are there at the end of the 12th day?

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