
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
In triangle $XYZ$, the sides measure $XY = 5$, $YZ = 7$, and $XZ = 8$. Two ants start simultaneously from vertex $X$ and crawl along the perimeter of the triangle in opposite directions at the same speed. They stop when they first meet at point $P$. What is the length of $YP$?

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