
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
On graph paper, a rectangle with a width of 200 cells and a height of 100 cells is drawn. The cells are colored starting from the top left corner and proceeding in a spiral pattern (turning right when reaching the edge or an already colored part). Which cell will be colored last? (Indicate its row and column number. For example, if it’s the last cell in the 10th row and 20th column, the answer would be (10, 20)).

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