
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]


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On graph paper, a rectangle with a width of 200 and a height of 100 cells is drawn. It is being colored cell by cell, starting from the top left corner and proceeding in a spiral (turning right when reaching the edge or an already colored area, as shown in Fig. 8). Which cell will be the last to be colored? (Indicate the row and column number of the cell. For example, the bottom right cell is in the 100th row and the 200th column.)

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