
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
Two inspectors, A and B, ranked the samples of products made by nine craftsmen in order of decreasing quality (the ordinal numbers of samples of the same quality are in parentheses):

(A)
$\begin{array}{llll}\text { (A) } & 1 & 2 \\ \text { (B) } & 2 & 1\end{array}$
$\left.\begin{array}{ccc}(3, & 4 & 5 \\ 4 & 3 & 5\end{array}\right)$
$(6$,
$7,8,9)$
$(6,7) \quad 8 \quad 9$

Find the Spearman rank correlation coefficient between the ranks assigned to the products by the two inspectors.

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