
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
In an  ${8}$ × ${8}$  squares chart , we dig out  $n$  squares , then we cannot cut a "T"shaped-5-squares out of the surplus chart .
Then find the mininum value of  $n$  .

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