
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
Ninety-four bricks, each measuring  $4''\times10''\times19'',$  are to stacked one on top of another to form a tower 94 bricks tall.  Each brick can be oriented so it contribues  $4''$  or  $10''$  or  $19''$  to the total height of the tower.  How many differnt tower heights can be achieved using all 94 of the bricks?

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