
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
Tucker, Todd, and Tadd are playing a counting game. Starting with Tucker, the first child will say the number $1$, then Todd will say the next three numbers ($2$, $3$, $4$), and Tadd must say the next five numbers ($5$, $6$, $7$, $8$, $9$). This pattern continues rotating through the three children with each child saying two more numbers than they said in the previous round until the number $5,000$ is reached. What is the $1024$th number said by Tadd?
**A)** 2039  
**B)** 2043  
**C)** 2045  
**D)** 2047  
**E)** 2051

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