
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
Given a natural number \$N\$. Vera performs the following operations on it: she adds 3 to it repeatedly until the resulting number is divisible by 5 (if the original \$N\$ is divisible by 5, then no addition is needed). The resulting number is then divided by 5. Vera repeats these operations with the new number, and so on. From which numbers is it impossible to obtain 1 using these operations?

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