
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
A rectangular floor that is $12$ feet wide and $25$ feet long is tiled with $300$ one-foot square tiles. A bug walks from one corner to the opposite corner in a straight line. However, there is a broken tile at position (12, 18) that the bug must walk around. Including the first and the last tile, calculate the number of tiles that the bug visits, assuming the bug bypasses the broken tile by stepping into the adjacent tile.

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