
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 a square, points $R$ and $S$ are midpoints of two adjacent sides. A line segment is drawn from the bottom left vertex to point $S$, and another from the top right vertex to point $R$. What fraction of the interior of the square is shaded?

[asy]
filldraw((0,0)--(2,0)--(2,2)--(0,2)--(0,0)--gray,linewidth(1));
filldraw((0,1)--(1,2)--(2,1)--(1,0)--(0,1)--cycle,white,linewidth(1));
label("R",(0,1),W);
label("S",(1,2),N);
[/asy]

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