
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
The capacities of cubic containers are in the ratio $1:8:27$, and the volumes of the liquid poured into them are in the ratio $1:2:3$. After this, some liquid was transferred from the first container to the second one, and then from the second container to the third one, so that the liquid level in all three containers became the same. After that, $128 \frac{4}{7}$ liters were transferred from the first container to the second one, and then back from the second to the first so that the height of the liquid column in the first container became twice as large as in the second. It turned out that there was 100 liters less liquid in the first container than initially. How much liquid was originally in each container?

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