
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
Four wise pandas find a pile of bamboo sticks. The first panda takes some bamboo sticks from the pile, keeps one-third of them, and divides the rest equally between the other three. The second panda takes some bamboo sticks from the pile, keeps half of them, and divides the rest equally between the other three. The third panda takes some bamboo sticks from the pile, keeps five-sixths of them, and divides the rest equally between the other three. The fourth panda takes the remaining bamboo sticks from the pile, keeps one-ninth of them, and divides the rest equally between the other three. Given that each panda receives a whole number of bamboo sticks whenever the sticks are divided, and the numbers of bamboo sticks the first, second, third, and fourth pandas have, at the end of the process, are in the ratio $4:3:2:1,$ what is the least possible total number of bamboo sticks?

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