
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
Cells of an infinite chessboard are sequentially numbered as follows: the first corner cell receives the number 0, and then each cell is assigned the smallest possible number not yet used for numbering any preceding cells in the same row or column. What number will the cell at the intersection of the 100th row and the 1000th column receive?

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