
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 acronym XYZ is displayed on a rectangular grid, with grid lines spaced 1 unit apart. The letter X is formed with three straight segments creating a diagonal cross, Y is formed by three straight segments with two short arms branching from the center point upward, and Z is made with two horizontal lines at the top and bottom and one diagonal connecting these lines in the middle. Additionally, an empty circular hole with diameter 1 unit is marked at the bottom right of the acronym. What is the total length of the line segments and the circumference of the empty hole that form the acronym XYZ?
A) $5 + 3\sqrt{2} + \pi$
B) $5 + 2\sqrt{2} + \pi$
C) $6 + 3\sqrt{2} + \pi$
D) $6 + 4\sqrt{2} + \pi$
E) $4 + 3\sqrt{2} + \pi$

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