
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
Decompose 675 into its prime factors as \( 675 = 3^{3} \cdot 5^{2} \). Consequently, the minimum number of stacks (greater than 1) is 3, and their height is \( 3^{2} \cdot 5^{2} = 225 \).

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