
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 placing stones on the sand. First, she placed one stone, then she added stones to form a pentagon, then created a larger outer pentagon from the stones, and continued this process, as shown in the picture. The number of stones placed in the first four images are: 1, 5, 12, and 22. If this pattern is continued, how many stones will be in the 10th image?

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