
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
The sums of the three columns and the three rows of the table are the same.

| 4 | 9 | 2 |
| - | - | - |
| 8 | 1 | 6 |
| 3 | 5 | 7 |

What is the minimum number of cells in the table that must be changed so that all six new sums are different from each other?

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