
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
Given that in an isosceles triangle \( \triangle ABC \), \( AC = BC = \sqrt{5} \), points \( D, E, F \) are on sides \( AB, BC, \) and \( CA \) respectively, and \( AD = DB = EF = 1 \). If \( \overrightarrow{DE} \cdot \overrightarrow{DF} \leq \frac{25}{16} \), determine the range of values for \( \overrightarrow{EF} \cdot \overrightarrow{BA} \).

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