
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
Zuzka had five cubic blocks with side lengths of 1 to 5 units. She glued these blocks into a tower, placing smaller blocks on larger ones with their faces completely aligned. Afterward, Zuzka painted the entire tower except for the base face. Each paint container could paint an area of exactly 5 square units.

How many paint containers did Zuzka need to paint the tower?

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