
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
Al, Bert, Carl, and Dana are the winners of a school drawing for a pile of Halloween candy, which they are to divide in a ratio of $4:3:2:1$, respectively. Since each comes at different times to claim their prizes, each of them assumes he or she is the first to arrive and takes what he or she believes to be the correct share from the total pile of candy. What fraction of the candy remains unclaimed?
A) $\frac{23}{125}$
B) $\frac{26}{125}$
C) $\frac{27}{125}$
D) $\frac{28}{125}$
E) $\frac{29}{125}$

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