
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
Seven students count from 1 to 1005, with a set rule on how to skip numbers:
Alice says all numbers except she skips every fourth number in each consecutive group of five numbers. Thus, Alice skips 4, 9, 14, ..., 1004.
Barbara says all the numbers that Alice doesn't say, except she also skips every fourth number in each consecutive group of five numbers she can say.
Candice, Debbie, Eliza, and Fatima say numbers similarly, skipping every fourth number in their allowable group of five numbers.
Lastly, George says the number that none of the others says, and also, this number must be the sum of the squares of two consecutive integers.
What number does George say?
A) 13
B) 17
C) 25
D) 34
E) 41

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