
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 similarly spaced 1 unit apart. The acronym starts X having length 2 units at the top and the bottom and slanted sides making triangles on both ends. Y is made with a vertical line of 3 units and two slanted lines extending from the midpoint down to 1 unit horizontally on each side. Z is formed by a horizontal top and bottom of 3 units and a diagonal connecting these. Determine the total length of line segments forming XYZ.
A) $13 + 5\sqrt{2} + \sqrt{10}$ 
B) $14 + 4\sqrt{2} + \sqrt{10}$ 
C) $13 + 4\sqrt{2} + \sqrt{10}$ 
D) $12 + 3\sqrt{2} + \sqrt{10}$ 
E) $14 + 3\sqrt{2} + \sqrt{11}$

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