
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
The squares of a chessboard are labeled as shown below, where the rows are numbered 1 to 8 from top to bottom and columns 1 to 8 from left to right.

\[ \text{Label of square at row } i \text{ and column } j: \quad \frac{1}{2i + j - 1} \]

Select one square from each row and each column. Determine the maximum sum of the labels of the chosen squares.

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