
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 $n$ measuring cylinders filled with liquid. From the first cylinder, $1 / n$ of the liquid was poured into the second cylinder, then from the second cylinder, $1 / n$ of the liquid (that was there after pouring from the first cylinder) was poured into the third cylinder, and so on. Finally, $1 / n$ of the liquid from the $n$-th cylinder (that remained after pouring from the previous cylinder) was poured back into the first cylinder. After this process, each cylinder ended up with $a$ cm$^{3}$ of liquid. How much liquid was initially in each cylinder?

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