
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

Once, Baba Yaga and Koschei the Deathless were trying to equally divide a magical powder that turns everything into gold. Baba Yaga took some scales and weighed all the powder. The scales showed 6 zolotniks. Then she removed some powder until the scales showed 3 zolotniks. However, Koschei suspected that the scales were lying and weighed the separated portion on the same scales (there were no other scales available). The scales showed 2 zolotniks. Determine the exact weight of the two parts into which Baba Yaga divided the powder. Assume that if the scales lie, they always do so by the same amount.

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