
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
Six persons \(A, B, C, D, E\), and \(F\) are to rotate for night shifts in alphabetical order with \(A\) serving on the first Sunday, \(B\) on the first Monday and so on. In the fiftieth week, which day does \(A\) serve on? (Represent Sunday by 0, Monday by 1, ..., Saturday by 6 in your answer.)

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