
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 sized $4 \times 10 \times 19$, stacked one on top of another to form a tower 94 bricks high, each brick can provide a height of either 4, 10, or 19. After placing 14 bricks, how many different possible heights can the tower have?

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