
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 outlined on a rectangular grid where each square is 1 unit by 1 unit. Determine the total length of the line segments that form the acronym XYZ in the grid. The letter X is formed by two diagonal lines crossing in a square, Y is formed by a vertical line of 2 units with a diagonal line of 1 unit length extending from the midpoint to the right, and Z is formed by two horizontal lines each of 2 units and one diagonal line connecting their ends.
A) $6 + 4\sqrt{2}$
B) $6 + 3\sqrt{2} + \sqrt{5}$
C) $6 + 2\sqrt{2} + \sqrt{3}$
D) $7 + 3\sqrt{2} + \sqrt{5}$

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