
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
Louis, Maria, and Neil each have 6 blocks colored red, blue, yellow, white, green, and purple. There are 6 empty boxes. Each of the three individuals randomly places one of their blocks into each box. Calculate the probability that at least one box receives exactly 3 blocks all of the same color, and all placed in alphabetical order by their names.
A) $\frac{1}{216}$  
B) $\frac{235}{1296}$  
C) $\frac{5}{1944}$  
D) $\frac{1}{400}$  
E) $\frac{71}{400}$

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