
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
Given a 100 cm long wire, which is cut into two pieces. One piece is bent into a square, and the other is bent into a circle. How should the wire be cut such that the sum of the areas of the square and the circle is minimized?

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