
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
A cup was filled with one glass of coffee, and then a quarter glass of milk was added to the cup from a glass filled with milk. After thoroughly mixing the contents of the cup, one glass of the mixture was added back to the glass with milk. How much milk and coffee remained in the cup?

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