
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
Four mice: White, Gray, Fat, and Thin were dividing a piece of cheese. They cut it into 4 slices that appeared identical. However, some slices had more holes, so Thin's slice weighed 20 grams less than Fat's slice, and White's slice weighed 8 grams less than Gray's slice. Nevertheless, White was not upset because his slice weighed exactly a quarter of the total cheese mass.

Gray cut 8 grams from his slice and Fat cut 20 grams from his slice. How should the 28 grams of cheese be divided among the mice so that each has an equal amount of cheese? Don't forget to explain your answer.

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