
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
The secret code of Animath's safe consists of 7 different digits. The safe opens when you enter a sequence of 7 digits if the following two conditions are met:
- The 7 digits are all different,
- At least one of the 7 digits is in the correct position.

a) Is it possible to open the safe in at most 6 attempts?

b) What is the minimum number of attempts required to be able to open the safe, regardless of the secret code?


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