
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
Point $O$ is the center of the regular hexagon $ABCDEF$, and $Y$ is the midpoint of the side $\overline{CD}$. Point $Z$ is the midpoint of the side $\overline{DE}$. What fraction of the area of the hexagon is shaded if the shaded region includes $\triangle COY$, $\triangle DOY$, and $\triangle EZO$?
A) $\frac{1}{6}$
B) $\frac{1}{4}$
C) $\frac{1}{3}$
D) $\frac{1}{2}$

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