
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
The main stained glass window of a modern cathedral is a circle with a diameter of 2 meters, intersected by a cross formed by two perpendicular lines that intersect at a point 50 cm away from the center of the stained glass. During the grand mass, a slightly absent-minded Parisian decided to calculate the sum of the squares of the lengths of the two segments of this cross.

"Look! - he exclaimed. - The number of square meters is equal to the number of deadly sins squared."

Why did this happen?

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