
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
In the "U Temného Hvozdu" inn, giant twins Pravdoslav and Křivomil serve customers. Pravdoslav is honest and always charges the exact prices, whereas Křivomil is dishonest and adds two krejcars to the price of each pie and each jug of mead. 

Once, seven dwarves visited the inn and sat at two tables. They paid the same amount for four pies served by one twin as they did for three jugs of mead served by the other. Another time, they paid 14 krejcars more for four jugs of mead served by Křivomil than for three pies served by Pravdoslav.

Determine the cost of one pie and one jug of mead at Pravdoslav's table. All prices are in whole krejcars, and the prices did not change between visits.

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