
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

Boris has a special digital clock. Although it keeps time accurately, instead of displaying hours and minutes, it shows two other numbers: the first is the sum of the digits that would normally be on the display, and the second is the sum of the hours and minutes (for example, at 7:30 it shows 10:37).

What could be the time when Boris's clock shows 6:15? Determine all possibilities.

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