
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
A square patio is tiled uniformly with square tiles. Each tile along the two diagonals of the patio is painted red, while all other tiles remain gray. If the total number of red tiles is 61, find the total number of tiles on the patio.
A) 841
B) 961
C) 1024
D) 1089
E) 1225

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