
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 \( A = \{1, 2, \ldots, 2014\} \) and \( B_i = \{x_i, y_i\} \) (for \( i = 1, 2, \ldots, t \)) be \( t \) mutually disjoint two-element subsets of \( A \). These subsets satisfy the conditions:
\[
x_i + y_i \leq 2014 \quad (i = 1, 2, \ldots, t)
\]
\[
x_i + y_i \neq x_j + y_j \quad (1 \leq i < j \leq t) 
\]

Determine the maximum value of \( t \).

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