
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 small insect crawls back and forth on a straight line starting from point $A$. 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 consecutive distances crawled are: $+5$, $-3$, $+10$, $-8$, $-6$, $+12$, $-10$.  
$(1)$ Does the small insect return to the starting point $A$ in the end?  
$(2)$ How far is the furthest distance the small insect moves away from the origin?  
$(3)$ During the crawling process, if the small insect receives one sesame seed as a reward for every $1$ cm crawled, how many sesame seeds does the small insect receive in total?

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