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A source coding problem is considered which generalizes source coding with side information , . Three correlated information sources and , are block-encoded: is to be reconstructed by two different decoders, one having access to the encoded version of and the other having access to the encoded version of . The region of achievable rates is determined, assuming that thc sources are discrete, memoryless, and stationary. The resuit is generalized to an arbitrary finite number of decoders.