
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
Observe the following two rows of numbers and explore the relationship between the numbers in row ② and row ①:  
$-2$, $4$, $-8$, $16$, $-32$, $64$, $\ldots$ ①  
$0$, $7$, $-4$, $21$, $-26$, $71$, $\ldots$ ②  
Based on your findings, fill in the blanks: The 10th number in row ① is ______; if we take the 2023rd number from each row, the sum of these two numbers is ______.

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