
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
There are 300 points in space.  Four planes  $A$ ,  $B$ ,  $C$ , and  $D$  each have the property that they split the 300 points into two equal sets.  (No plane contains one of the 300 points.)  What is the maximum number of points that can be found inside the tetrahedron whose faces are on  $A$ ,  $B$ ,  $C$ , and  $D$ ?

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