
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]


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Given a table of $n^{2}(n\\geqslant 4)$ positive numbers arranged in $n$ rows and $n$ columns as follows:
\\[ \\begin{pmatrix} a\_{11} & a\_{12} & … & a\_{1n} \\\\ a\_{21} & a\_{22} & … & a\_{2n} \\\\ … & … & … & … \\\\ a\_{n1} & a\_{n2} & … & a\_{nn}\\end{pmatrix}\\]
Each row forms an arithmetic sequence, and each column forms a geometric sequence with the same common ratio $q$. If $a\_{26}=1$, $a\_{42}= \\dfrac {1}{8}$, $a\_{44}= \\dfrac {3}{16}$, find the value of $q$.

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