
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
Walnuts and hazelnuts were delivered to a store in $1 \mathrm{~kg}$ packages. The delivery note only mentioned that the shipment's value is $1978 \mathrm{Ft}$, and its weight is $55 \mathrm{~kg}$. The deliverers remembered the following:

- Walnuts are more expensive;
- The prices per kilogram are two-digit numbers, and one can be obtained by swapping the digits of the other;
- The price of walnuts consists of consecutive digits.

How much does $1 \mathrm{~kg}$ of walnuts cost?

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