April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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148 Design and Analysis of Algorithms
If n ≤ m, the post condition Q is already satisfi ed, as it implies n = m and we have only one element in
the range m to n. If m < n,then after the call to partition(), the indicated condition is satisfi ed and this
condition remains unchanged even after recursive calls to quicksort, since they rearrange, if at all, elements
within their respective ranges of indices during invocation, which in turn are within the range (m, n). Also the
condition just after the fi rst call remains unaffected by the second call. In an inductive proof, we assume that
the recursive calls work correctly. This leads to the fi nal ...
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