
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
Three smart squirrels gather acorns. The first squirrel gathers some acorns, keeps two-thirds of them, and divides the rest equally between the other two. The second squirrel gathers some acorns, keeps one-third of them, and divides the rest equally between the other two. The third squirrel gathers the remaining acorns, keeps one-ninth of them, and divides the rest equally between the other two. Given that each squirrel receives a whole number of acorns whenever the acorns are divided, and the numbers of acorns the first, second, and third squirrels have at the end of the process are in the ratio $4:3:2,$ what is the least possible total for the number of acorns?

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