
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 numbers \(1, 2, \ldots, 49\) are arranged in a square table:

\[
\begin{array}{rrrrrrr}
1, & 2, & 3, & 4, & 5, & 6, & 7 \\
8, & 9, & 10, & 11, & 12, & 13, & 14 \\
\ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots \\
43, & 44, & 45, & 46, & 47, & 48, & 49
\end{array}
\]

A number is chosen from the table, and then the row and column containing this number are crossed out. This process is repeated with the remaining table, until a total of 7 numbers have been chosen. Find the sum of the chosen numbers.

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