
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 the table of integer pairs as follows:

\[
\begin{matrix}
 & {(1,1)} \\
 & {(1,2),(2,1)} \\
 & {(1,3),(2,2),(3,1)} \\
 & {(1,4),(2,3),(3,2),(4,1)} \\
 & {(1,5),(2,4),(3,3),(4,2),(5,1)} \\
 & \cdot \cdot \cdot \cdot \cdot \cdot \\
\end{matrix}
\]

Then, in this table of pairs, the 10th pair from left to right in every 20th row is \_\_\_\_\_\_\_\_.

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