
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
103 bricks, each with dimensions $4 \times 10 \times 19$, are stacked to form a tower that is 94 bricks high. Each brick can provide a height of 4, 10, or 19 units, as bricks can be placed in any orientation. If all 94 bricks are used, how many different tower heights can be achieved? (The height unit is inches.)

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