
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, all natural numbers from 3 to 223 inclusive that leave a remainder of 3 when divided by 4 are written. Every minute, Borya erases any two of the written numbers and instead writes their sum, reduced by 2. In the end, only one number remains on the board. What could this number be?

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