
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 Al, Bert, and Carl are the winners of a school raffle for a pile of cookies, which they are to divide in the ratio $4:3:2$, respectively. Each takes what he believes to be the correct share of cookies. Determine the fraction of cookies that go unclaimed.

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