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Your friend tries to send you message M, which is later encoded into M using the Hamming code. After message M has been sent out,
Your friend tries to send you message M, which is later encoded into M using the Hamming code. After message M has been sent out, one bit of M gets flipped due to some unknown transmission error.
The message you actually received is: 001010100000111
What is the original message M? (Hint: Message M is 11-bit long)
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