
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
Starting with a list of three numbers, the "Make-My-Day" procedure creates a new list by replacing each number by the sum of the other two. For example, from \(\{1, 3, 8\}\), "Make-My-Day" gives \(\{11, 9, 4\}\) and a new "Make-My-Day" leads to \(\{13, 15, 20\}\). If we begin with \(\{20, 1, 8\}\), what is the maximum difference between two numbers on the list after 2018 consecutive "Make-My-Day"s?

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