
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 9x9 checkerboard (consisting of 81 squares) has the whole numbers from 1 through 81 written sequentially in rows from left to right and top to bottom. Calculate the sum of the numbers in the original four corners and the adjacent tiles immediately to the right of the top two corners and to the left of the bottom two corners.
A) 310
B) 318
C) 328
D) 338
E) 348

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