
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 ABC, D is the midpoint of AB, and E is the trisection point of AC (closer to A). Point F lies on line segment DE such that DF:FE = 2:1. Calculate $\frac{EF}{FB} + \frac{AF}{FC}$.
A) 2.5
B) 3.5
C) 4.5
D) 5.5

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