
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
At the beginning of the year, bolts, spindles, and nuts were sold at the same price of 1 ruble per kilogram. On February 27, the Supreme Soviet of the USSR passed a law to increase the price of bolts by 50% and decrease the price of spindles by 50%. On February 28, the Supreme Soviet of the RSFSR passed a law to decrease the price of bolts by 50% and increase the price of spindles by 50%. Which product will be the most expensive and which will be the cheapest in March?

At the New-Vasyuki currency exchange, you get 14 dinars for 11 tugriks, 21 dinars for 22 rupees, 3 talers for 10 rupees, and 2 talers for 5 crowns. How many tugriks can you exchange for 13 crowns?

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