
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
Anya is arranging stones on the sand. First, she placed one stone, then added stones to form a pentagon, then made a larger outer pentagon from the stones, then another larger outer pentagon, and so on, as shown in the illustration. The number of stones that were arranged in the first four images are 1, 5, 12, and 22. If we continue creating such images further, how many stones will there be in the 10th image?

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