
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
Kevin Kangaroo begins hopping on a number line at 0. He aims to reach point 1, but with each hop, he can leap exactly half the distance left toward his target. Each subsequent hop only covers half the remaining distance. Determine how far Kevin has hopped after six hops. Express your answer as a common fraction.

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