
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 five cards labeled $1, 2, 3, 4, 5$ placed in ascending order, face up, in a stack. Now, flip cards 1, 3, and 5 to their reverse sides, keeping them in their original positions. An operation called a "flip" consists of either splitting the entire stack at any card and reversing the order of the top part before placing it back on the bottom part, or reversing the entire stack. What is the minimum number of flips required to get all five cards to face up again? (The side with the number is considered the front.)

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