
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
Points $R$ and $S$ are one third and two thirds along the respective sides of the square. Calculate the fraction of the interior of the square that is not shaded when connecting $R$ and $S$ to the opposite vertices forms a white region within the square.

[asy]
filldraw((0,0)--(3,0)--(3,3)--(0,3)--(0,0)--cycle,gray,linewidth(1));
filldraw((0,1)--(1,3)--(2,3)--(3,1)--(3,2)--(2,0)--(1,0)--(0,2)--cycle,white,linewidth(1));
label("R",(0,1),W);
label("S",(1,3),N);
[/asy]

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