
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
Think of a number recorded in one of the columns:

| 10 | 23 | 16 | 29 | 32 |
| ---: | ---: | ---: | ---: | ---: |
| 27 | 15 | 28 | 31 | 9 |
| 14 | 32 | 30 | 8 | 26 |
| 36 | 24 | 12 | 25 | 13 |
| 23 | 16 | 24 | 17 | 30 |

How can the thought number be guessed based on the sum of the numbers (excluding this number) in the row or column where the thought number is recorded? (Suggest this trick to your friends.)

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