
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
The magical room in the palace of the thirty-ninth kingdom consists of points on a plane whose coordinates satisfy the conditions $|x| \leqslant 4$ and $|y| \leqslant 6$. How many identical parquet tiles, shaped as rectangles with sides 1.5 and 2, are necessary to cover the floor of the room? Tiling is considered to be without gaps, without overlaps, and without extending beyond the boundaries of the area.

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