
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
Find the greatest and the next greatest value among $4^{1/4}, 5^{1/5}, 16^{1/16}, 25^{1/25}$.
**A)** $5^{1/5}, 4^{1/4}$  
**B)** $4^{1/4}, 5^{1/5}$  
**C)** $16^{1/16}, 25^{1/25}$  
**D)** $25^{1/25}, 16^{1/16}$  
**E)** $None of these$

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