
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 $7 \times 7$ checkerboard has horizontal and vertical lines forming $r'$ rectangles, of which $s'$ are squares. Determine $m' + n'$ where $\frac{s'}{r'} = \frac{m'}{n'}$ and $m'$ and $n'$ are relatively prime positive integers.

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