
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

According to experts' forecasts, apartment prices in Moscow will decrease by 20% in rubles and by 40% in euros over the next year. In Sochi, apartment prices will decrease by 10% in rubles over the next year. By what percentage will apartment prices decrease in Sochi in euros? It is assumed that the euro-to-ruble exchange rate (i.e., the cost of one euro in rubles) is the same in both Moscow and Sochi, but it may change over time. Justify the answer.

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