
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
Lily Lemur begins hopping on a number line at 0. She wants to get to 1, but she can hop only $\frac{1}{4}$ of the distance each time. Each hop tires her out so that she continues to hop only $\frac{1}{4}$ of the remaining distance. How far has she hopped after four hops? Express your answer as a common fraction.

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