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XX and YY are correlated with I(X;Y)=0.6I(X;Y) = 0.6 bits and R(0.2)=1.4R(0.2) = 1.4 bits. The encoder sees YY but the decoder does not, and the distortion depends only on (x,x^)(x,\hat x). Give Renc(0.2)R_{\mathrm{enc}}(0.2) in bits.
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