
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 cards in a box numbered with natural numbers from 1 to 2006. The card with number 2006 is at the top and so on down to 1. On each move, you are allowed to take one top card (from any box) and place it either at the bottom of an empty box or on a card with a number one greater. How many empty boxes are needed to transfer all the cards to another box?

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