
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 from oil companies: Razneft, Dvanneft, and Trineft is up for auction. The combined number of shares in the Razneft and Dvanneft packages equals the number of shares in the Trineft package. The Dvanneft share package is 4 times cheaper than the Razneft package, and their combined cost equals the cost of the Trineft package. The price of a single Razneft share exceeds the price of a single Dvanneft share by an amount ranging from 16 thousand rubles to 20 thousand rubles, and the price of a single Trineft share fluctuates between 42 thousand rubles and 60 thousand rubles. Determine the minimum and maximum percentage of the total number of shares in the lot that the Dvanneft share package can constitute.

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