
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
Rahid has a large number of cubic building blocks. Each block has sides of length \(4 \text{ cm}\), \(6 \text{ cm}\), or \(10 \text{ cm}\). Rahid makes little towers built from three blocks stacked on top of each other. How many different heights of tower can he make?

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