
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
Three people, A, B, and C, are independently decrypting the same code. It is known that the probabilities of A, B, and C successfully decrypting the code are $\frac{1}{2}$, $\frac{1}{3}$, and $\frac{1}{4}$, respectively, and whether they decrypt the code or not does not affect each other. The probability that at least one person decrypts the code is ___.

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