
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
Coal delivered to a warehouse was intended for two factories. The first factory started receiving coal from June 1st at a rate of \( m \) tons daily, including Sundays. The second factory started receiving coal from June 8th at a rate of \( n \) tons daily, including Sundays. By the end of June 16th, half of the initial amount of coal remained in the warehouse. On which date was all the coal removed from the warehouse if both factories received an equal amount of coal?

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