Give divide-and-conquer algorithm that finds missing integer

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Problem: Unsorted array A[1..n], contains all but one of the n 1 integers in the range 0, ..., n (so exactly one of these elements is missing from A). Assume that n = 2k - 1 for some integer k, so each array element has a binary representation using k bits. You want to determine the missing integer. The only way to access the elements of A is by calling the function bitvalue(i, j), which returns the value of the jth bit of A[i]. Give a divide-and-conquer algorithm that finds the missing integer and makes only O(n) calls to the function bitvalue().

Reference no: EM133693584

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