
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
Using 94 bricks each with dimensions $4 \times 10 \times 19$, and stacking them one on top of the other to form a tower 94 bricks high, with each brick capable of providing heights of 4, 10, or 19 units, how many different possible heights can the completed tower be?

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