
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
Zhenya drew a square with a side of 3 cm and then erased one of these sides. The resulting shape looked like the letter "P." The teacher asked Zhenya to place points along this "P" shape, starting from the edge, so that the next point was 1 cm away from the previous one, as shown in the picture, and then count the number of points. He ended up with 10 points.

Later, the teacher decided to complicate the task and asked to count the number of points for the "P" shape obtained similarly from a square with a side of 10 cm. How many points will Zhenya have this time?

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