
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
A cube has edge length \( 4 \text{ m} \). One end of a rope of length \( 5 \text{ m} \) is anchored to the centre of the top face of the cube. The area of the surface of the cube that can be reached by the other end of the rope is \( A \text{ m}^2 \). What is the integer formed by the rightmost two digits of the integer closest to \( 100A \)?

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