
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
Let \( A = \{1, 2, 3, \ldots, 2n, 2n+1\} \) and \( B \subseteq A \), such that any three different elements \( x, y, z \) in \( B \) satisfy \( x + y \neq z \). Determine the maximum value of \( |B| \).

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