Find the value of the sum
\[\binom{99}{0} - \binom{99}{2} + \binom{99}{4} - \dots - \binom{99}{98}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the value of the sum
\[\binom{99}{0} - \binom{99}{2} + \binom{99}{4} - \dots - \binom{99}{98}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-2^{49}
Find the value of the sum
\[\binom{99}{0} - \binom{99}{2} + \binom{99}{4} - \dots - \binom{99}{98}.\]
train