
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
Change the array
\[
\left[\begin{matrix}5 & 10 & 3\\ 7 & 2 & 8\\ 6 & 3 & 9\end{matrix}\right]
\]
where the row sums and the column sums currently equal, to make all six sums different from one another. What is the least number of entries that must be altered?
A) 1
B) 2
C) 3
D) 4
E) 5

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