
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 stack contains 300 cards: 100 white, 100 black, and 100 red. For each white card, the number of black cards below it is counted; for each black card, the number of red cards below it is counted; and for each red card, the number of white cards below it is counted. Find the maximum possible value of the sum of these 300 counts.

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