
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]


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Given that Al, Bert, Carl, and Dana divide a pile of Halloween candy in the ratio $4:3:2:1$, determine the fraction of candy that goes unclaimed if each participant takes what he or she believes to be the correct share based on the remaining candies at the time of arrival.

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