
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 rectangular coordinate system $xoy$, the coordinates of points $A\left(x_{1}, y_{1}\right)$ and $B\left(x_{2}, y_{2}\right)$ are both 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 $45^{\circ}$. Let $B'$ be the projection of $B$ onto the $x$-axis, and $A'$ be the projection of $A$ onto the $y$-axis. The area of triangle $\triangle OB'B$ is 33.5 greater than the area of triangle $\triangle OA'A$. Using $x_{1}, y_{1}, x_{2}, y_{2}$, compose a four-digit number and show the process of solving the problem.

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