
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
Three numbers are stored in a computer's memory. Every second, the following operation is performed: each number in this triplet is replaced by the sum of the other two numbers. For example, the triplet \((1; 3; 7)\) becomes \((10; 8; 4)\). What will be the difference between the largest and the smallest number in the triplet obtained from \((20; 1; 6)\) after 2016 seconds?

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