Consider the table $R$ with attributes $A, B$ and $C$. The functional dependencies that hold on $R$ are : $A \rightarrow B, C \rightarrow AB$. Which of the following statements is/are True ?
I. The decomposition of $R$ into $R1(C, A)$ and $R2(A, B)$ is lossless.
II. The decomposition of $R$ into $R1(A, B)$ and $R2(B, C)$ is lossy.
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