
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
On the board, there are numbers from 1 to 50. It is allowed to erase any two numbers and instead write one number which is the absolute value of their difference. After repeating this procedure 49 times, one number will remain on the board. What could this number be?

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