
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
Let $A$, $B$, and $C$ be three points on the graph of $y=x^2$. Line $BC$ is parallel to the $x$-axis, and $\triangle ABC$ is a right triangle with an area of $2000$. If $B$ is the midpoint of $AC$, find the sum of the digits of the $y$-coordinate of $A$.
A) 17
B) 18
C) 19
D) 20
E) 21

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