
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
Capitu has one hundred cards numbered from 1 to 100. All cards have one yellow side and one red side, with the number written on both sides. The cards are placed on a table, all with the red side facing up. Capitu flips all the cards with even numbers, then flips all the cards that are multiples of 3, putting the yellow side facing up. How many cards have the red side facing up?

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