
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
Given Mrs. Li decides to place integers from 1 to 100 into an 10 by 10 grid, with the number 1 in the central square (fifth row and sixth column) and continues to place the numbers counterclockwise, find the sum of the greatest and least number that appear in the fifth row.

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