
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
Li Wei's living room is 6 meters long and 4.8 meters wide. He plans to lay square tiles on the floor. The store offers square tiles in the following sizes: ① 10 cm on each side. ② 35 cm on each side. ③ 40 cm on each side. ④ 50 cm on each side. Please help Li Wei choose one type of square tile, explain your reasoning, and calculate how many tiles of this type he needs to buy.

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