
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 $7 \times 7$ chessboard is composed of lines that form rectangles and squares within its structure. Determine the ratio of the number of squares to the number of rectangles formed, expressed in its simplest form as $m/n$, and find the sum $m+n$.

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