
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 and a height of 100 squares is drawn. The rectangle is colored square by square, starting from the top left square and moving in a spiral (turning right when reaching an edge or an already colored part, see illustration). Which square will be the last to be colored? (Indicate the number of its row and column. For example, the bottom right square is in the 100th row and the 200th column.)

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