
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
A fortune cookie lists four two-digit positive integers as your lucky numbers. The first three are 46, 24, and 85, but you got chocolate on the last one and can't read it. If the sum of the digits of all four numbers equals $\frac{1}{4}$ of the sum of all four numbers, what is the smallest possibility for the fourth lucky number?

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