
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
Given points $Q_1, Q_2, \cdots, Q_9$ on a straight line in that order (not necessarily evenly spaced). Let $Q$ be a point on this line and let $t$ be the sum of the lengths $QQ_1, QQ_2, \cdots, QQ_9$. Determine the point $Q$ for which $t$ is minimized.
A) midway between $Q_1$ and $Q_9$
B) midway between $Q_2$ and $Q_8$
C) midway between $Q_3$ and $Q_7$
D) at $Q_5$
E) at $Q_1$

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