
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
In her first 10 basketball games, Theresa scored $9, 5, 4, 7, 6, 2, 4, 8, 3,$ and $7$ points. In her eleventh game, she scored fewer than $10$ points and achieved an integer average for all eleven games. In her twelfth game, she again scored fewer than $10$ points, and the average points across all twelve games remained integer. What is the product of the points she scored in her eleventh and twelfth games?
A) 0  
B) 5  
C) 10  
D) 45  
E) 50

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