
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
In the Cartesian coordinate system $xOy$, the coordinates of point $A\left(x_{1}, y_{1}\right)$ and point $B\left(x_{2}, y_{2}\right)$ are all positive integers. The angle between $OA$ and the positive direction of the $x$-axis is greater than $45^\circ$, and the angle between $OB$ and the positive direction of the $x$-axis is less than $45^\circ$. The projection of $B$ on the $x$-axis is $B'$, and the projection of $A$ on the $y$-axis is $A'$. The area of $\triangle OB'B$ is 33.5 units larger than the area of $\triangle OA'A$. Determine the four-digit number composed of $x_{1}$, $y_{1}$, $x_{2}$, and $y_{2}$.

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