
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 rectangle $3 \times 100$ consists of 300 squares $1 \times 1$. What is the largest number of diagonals that can be drawn in the squares so that no two diagonals share endpoints? (In one square, two diagonals can be drawn without sharing endpoints. Shared internal points are allowed.)

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