
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 more stones to form a pentagon, then made a larger outer pentagon with the stones, and so on, as shown in the drawings. The number of stones she had arranged in the first four pictures: 1, 5, 12, and 22. If she continues creating such pictures, how many stones will be in the 10th picture?

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