
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
Initially, there were 900 ones and 100 fours written on a board. Every minute, Masha erased two numbers, \(x\) and \(y\), and wrote the number \(\sqrt{x^{2}+y^{2}}\) instead. Eventually, only one number remained on the board. What is that number?

If there are multiple possible answers, list them in ascending order, separated by commas or semicolons.

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