
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
Find the smaller of two different 2-digit positive integers, if the average of these two integers equals the number obtained by writing one of these integers before the decimal point and multiplying the other integer by 0.01 after the decimal point.

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