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Prove the correctness of HEAPSORT by using the following loop invariant: At the start of each iteration of the for loop, the subarray A[1..i] is
Prove the correctness of HEAPSORT by using the following loop invariant:
At the start of each iteration of the for loop,
the subarray A[1..i] is a Max-Heap containing the i smallest elements of A[1..n], and
the subarray A[i+1 .. n] contains the n-i largest elements of A[1..n] in sorted order.
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