
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 wooden cube with edges of two centimeters rests on a horizontal surface. A point source of light is located $x$ centimeters directly above one of the upper vertices of the cube. The shadow created on the horizontal surface by the cube, excluding the area beneath the cube itself, amounts to 300 square centimeters. Determine the greatest integer that does not exceed $1000x$.

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