
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
Koshchey the Deathless gave Baba Yaga an electric broomstick. The device's control panel has a display that shows the time in the HH:MM format (for example, 13:56) and the broomstick's charge on a 100-point scale (in whole numbers from 1 to 100). The broomstick consumes power evenly and completely discharges in 10 hours. The display shows 100 as the maximum charge and stops showing power when the charge is 0, causing the broomstick to land due to lack of energy. Baba Yaga started her flight at 00:00 on a fully charged broomstick, and the broomstick did not receive any power during the entire flight. At what time during the flight do the charge values of the broomstick and the number of minutes on the display match?

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