
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 student has a rectangular board of 12 rows that are numbered similarly from left to right and top to bottom. The student starts by shading square 1, then skips two squares and shades square 4, skips four squares and shades square 9, and continues this pattern, skipping two more squares than previously each time until at least one shaded square in each row is achieved. What is the number of the shaded square that first achieves this result?
A) 144
B) 134
C) 154
D) 164
E) 174

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