How many ways are there to fill in the tens digit and hundreds digit of $1\underline{\hphantom{2}}\,\underline{\hphantom{2}}4$ so that it is divisible by $11$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many ways are there to fill in the tens digit and hundreds digit of $1\underline{\hphantom{2}}\,\underline{\hphantom{2}}4$ so that it is divisible by $11$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
9
How many ways are there to fill in the tens digit and hundreds digit of $1\underline{\hphantom{2}}\,\underline{\hphantom{2}}4$ so that it is divisible by $11$?
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