
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
The pond has a rectangular shape. On the first frosty day, the ice covered all parts of the pond that were within 10 meters of the nearest shore. On the second day, the ice covered all parts within 20 meters, on the third day within 30 meters, and so on. On the first day, the area of open water decreased by 20.2%, and on the second day it decreased by 18.6% of the original area. On which day will the pond be completely frozen?

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