
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
One hundred integers from 1 through 100 are organized in a 10 by 10 array (checkerboard fashion). The sequence starts with the number 1 in the top-left corner and concludes with 100 in the bottom-right corner. After arranging all numbers, the problem requires finding the sum of the numbers in the four corners of this checkerboard.
A) 190
B) 201
C) 202
D) 203
E) 204

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