
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
The point $(1,1,1)$ is rotated $180^\circ$ about the $x$-axis, then reflected through the $xy$-plane, reflected through the $yz$-plane, rotated $180^\circ$ about the $x$-axis, and reflected through the $yz$-plane. Find the coordinates of the point now.

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