
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
Lada and Lera each thought of a natural number. If Lada's number is decreased by 5%, and Lera's number is increased by 5%, the results are equal. It turned out that the numbers they thought of are the smallest numbers possessing this property. What numbers did the girls think of?

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