
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
There are two types of animals, mice and rabbits, that grow in numbers according to the following patterns: every month, the number of mice doubles from the previous month, and the number of rabbits is the sum of the numbers from the previous two months (with the numbers in the first and second months being equal). For example: in the first month, there are 2 mice and 2 rabbits; in the second month, there are 4 mice and 2 rabbits; in the third month, there are 8 mice and 4 rabbits. Given that in the seventh month, the number of rabbits is one more than the number of mice, what is the minimum number of rabbits in the first month?

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