
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
What is the greatest number of elements that can be selected from the set \(1, 2, \ldots, 1963\) such that the sum of any two selected elements is divisible by 26?

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