
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
You have a \(2 \times 3\) grid filled with integers between 1 and 9. The numbers in each row and column are distinct. The first row sums to 23, and the columns sum to 14, 16, and 17 respectively.

Given the following grid:
\[
\begin{array}{c|c|c|c|}
    & 14 & 16 & 17 \\
\hline 
23 & a & b & c \\
\hline 
    & x & y & z \\
\hline
\end{array}
\]

What is \(x + 2y + 3z\)?

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