
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
At a facility producing instant coffee, a batch of coffee beans was delivered for processing in the last days of May. One machine, which grinds the beans, was put into operation on Monday, June 1st, and ground $m$ kg daily. Starting on June 6th, a second machine was added to perform this task, grinding $n$ kg daily. By the end of the working day on June 10th, only half of the original quantity of beans remained unground. When was the processing of the entire batch of beans completed, given that both machines ground an equal amount and had no interruptions in work other than Sundays?

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