
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 pack of  $2008$  cards, numbered from  $1$  to  $2008$ , is shuffled in order to play a game in which each move has two steps:

(i) the top card is placed at the bottom;

(ii) the new top card is removed.

It turns out that the cards are removed in the order  $1,2,\dots,2008$ . Which card was at the top before the game started?

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