
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 were two decks of 36 cards each on the table. The first deck was shuffled and placed on top of the second deck. Then, for each card in the first deck, the number of cards between it and the same card from the second deck was counted (i.e., the number of cards between the sevens of hearts, between the queens of spades, etc.). What is the sum of these 36 counted numbers?

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