
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 John's first $10$ cricket matches, he scored $11, 6, 7, 5, 12, 8, 3, 10, 9,$ and $4$ runs. In his eleventh match, he scored fewer than $15$ runs and his run-per-game average for the eleven games was an integer. Similarly in his twelfth game, he scored fewer than $15$ runs and his run-per-game average for the $12$ games was also an integer. What is the product of the number of runs he scored in the eleventh and twelfth games?
A) 10  
B) 12   
C) 14  
D) 16  
E) 18

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