
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
Nine teams, denoted as \( T_{1} \) to \( T_{9} \), are participating in a round-robin tournament (each pair of teams plays one match). Each match can result in a win, draw, or loss, with winners earning 3 points, a draw earning both teams 1 point, and losers earning 0 points. The nine teams \( T_{1} \) to \( T_{9} \) are ranked from highest to lowest based on their points, with no two teams having the same score. It is known that \( T_{1} \) has 3 wins, 4 draws, and 1 loss, and \( T_{9} \) has 0 wins, 5 draws, and 3 losses.

Questions:
1. Is it possible for \( T_{3} \) to have defeated \( T_{4} \)?
2. Is it possible for \( T_{4} \) to have defeated \( T_{3} \)?

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