Question: 5.9 Optimal code lengths that require one bit above entropy. The source coding theorem shows that the optimal code for a random variable X

5.9 Optimal code lengths that require one bit above entropy. The source coding theorem shows that the optimal code for a random variable X has an expected length less than H(X) + 1. Give an example of a random variable for which the expected length of the optimal code is close to H(X) + 1 [i.e., for any e > 0, construct a distribution for which the optimal code has L > H(X)+1-e].

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