
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 $Q_1, Q_2,\cdots,Q_{10}$ on a line in the specified order, such that $Q_1$ through $Q_5$ are spaced one unit apart and $Q_6$ through $Q_{10}$ are spaced two units apart, find the position of point $Q$ for which the sum of the distances $s = QQ_1 + QQ_2 + \cdots + QQ_{10}$ is minimized.

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