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Decompose following relations into 2NF, 3NF, BCNF and state what are relations failed to decompose into BCNF and dependency preserving decomposition.

1)R(ABCDE)   {AB→C, DE→C, B→D}

2)R(ABCDE)   {AB→C, C→D, D→B, D→E}

3)R(ABCDE)   {A→BC, CD→E, B→D, E→A}

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