
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
A lot consisting of three packages of shares of oil extraction companies, Razneft, Dvaneft, and Trineft, is up for auction. The total number of shares in the Razneft and Dvaneft packages is equal to the number of shares in the Trineft package. The Dvaneft share package is 3 times cheaper than the Razneft share package, and their total cost is equal to the cost of the Trineft package. One Razneft share exceeds the cost of one Dvaneft share by an amount ranging from 10,000 to 18,000 rubles, and the price of one Trineft share fluctuates between 18,000 and 42,000 rubles. Determine the minimum and maximum percentage of the total number of shares in the lot that the Dvaneft share package can constitute.

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