
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
Peter received a new jigsaw with a function for measuring the length of cuts for his birthday. To test the gift, Peter took a square piece of plywood with a side of 50 cm, and cut it into squares with sides of 10 cm and 20 cm. How many squares did he obtain in total if the jigsaw displayed a total cut length of \(2 \mathbf{m} 80 \mathrm{~cm}\)?

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