
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 with the stones, then another outer pentagon, and so on, as shown in the picture. The number of stones she had arranged in the first four pictures is 1, 5, 12, and 22. If she continues making such pictures, how many stones will be in the 10th picture?

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