
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 34 ones written on the board. Every minute, Carlson erases two arbitrary numbers and writes their sum on the board. Then, he eats an amount of candy equal to the product of the two erased numbers. What is the maximum number of candies he could eat in 34 minutes?

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