
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
A ladybug starts from point $P$ and crawls back and forth on a branch. Assuming that the distance crawled to the right is recorded as a positive number, and the distance crawled to the left is recorded as a negative number, the ladybug crawls the following distances (unit: centimeters) in order: $+5$, $-6$, $+10$, $-5$, $-6$, $+12$, $-10$.<br/>$(1)$ Calculate to determine whether the ladybug returns to the starting point $P$.<br/>$(2)$ If the ladybug crawls at a speed of $0.5$ centimeters per second, how long does the ladybug crawl in total?

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