
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
Two natural numbers are hidden. Mathematician A has been given their sum, while Mathematician B has been told the sum of their squares. If they combine their information, they will obviously find both numbers. However, they discovered these numbers through the following conversation:

B: "I don't know what the numbers are."
A: "Their sum is not less than 10."
B: "Then I know what the numbers are."

What are these numbers?

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