
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 288 sets of cards, with a total of 2016 cards. Each set consists of cards numbered from 1 to 7, stacked in the sequence $1, 2, \cdots, 7$ from top to bottom. These 288 sets of cards are stacked together from top to bottom. The following operation is performed repeatedly:
- Discard the top five cards.
- Move the next card (i.e., the 6th card) to the bottom of the stack.

Continue this process until only one card remains.

(1) During this operation, when only 301 cards remain, how many cards in total have been discarded?

(2) Which group's card and which card will be the last remaining card?

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