
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
Eight students count from 1 to 2000 as follows:
Alice says all the numbers, except she skips the middle number in each consecutive group of five numbers. That is, Alice says 1, 2, 4, 5, ...1988, 1990, 1991, 1993, 1994, 1996, 1997, 1999, 2000.
Barbara says all of the numbers that Alice doesn't say, except she also skips the middle number in each consecutive group of five numbers.
Candice says all of the numbers that neither Alice nor Barbara says, except she also skips the middle number in each consecutive group of five numbers.
The pattern continues similarly with Debbie, Eliza, Fatima, and George.
Finally, Gracie says the only number that no one else says.
What number does Gracie say?
A) 1532
B) 1587
C) 1623
D) 2034

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