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The first worst-case linear-time algorithm for selection was discovered in1973; however, linear-time binary heap construction was first published in1964. Here we describe another worst-case linear selection algorithm,which issimply implemented and uses binary heap construction as its principal engine.The algorithm is implemented in place, and shown to perform similarly toin-place median of medians.

Median of heaps: linear-time selection by recursively constructing binary heaps