
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 natural numbers \(M\) and \(N\), both greater than ten, consisting of the same number of digits such that \(M = 3N\). To obtain the number \(M\), one must add 2 to one of the digits of \(N\), and add an odd digit to each of the remaining digits. What digit could \(N\) end with?

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