
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
Koschei the Deathless gave Baba Yaga an electric mortar. The control panel of the electric mortar has a display that shows the time in the format HH:MM (for example, 13:56) and the mortar's charge on a scale of 100 points (in integers from 1 to 100). The mortar consumes charge uniformly and completely discharges in 10 hours. The display shows 100 as the maximum charge value, and instead of showing 0, the mortar lands due to lack of energy. At 00:00, Baba Yaga took off on the fully charged mortar, and throughout the flight, the mortar did not receive any power. At what time during the flight do the mortar's charge and the number of minutes on the display match?

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