
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
A 3x3 magic square with the same row sums and column sums is given by:
\[
\left[
\begin{matrix}
2 & 7 & 6\\ 
9 & 5 & 1\\ 
4 & 3 & 8
\end{matrix}
\right]
\]
Compute the minimum number of entries that must be changed to make all three row sums and three column sums different from one another.

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