
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
On cards are written all two-digit numbers from 10 to 99 (one number on one card). All these cards are lying on the table with the numbers facing down. What is the minimum number of cards that need to be turned over to guarantee that at least one of the revealed numbers is divisible by 7? Justify your answer.

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