
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 for bidding consists of three packages of shares from oil extraction companies: Razneft, Dvaneft, and Trineft. The total number of shares in the Razneft and Dvaneft packages matches the number of shares in the Trineft package. The Dvaneft share package is four times cheaper than the Razneft share package, and the total cost of both matches the cost of the Trineft share package. One Razneft share exceeds the cost of one Dvaneft share by an amount ranging from 16,000 rubles to 20,000 rubles, and the price of one Trineft share fluctuates between 42,000 rubles and 60,000 rubles. Determine the smallest and largest percentage of the total number of shares in the lot that the Dvaneft share package can represent.

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