Merging Mergesort divideandconquer n Divide array into two
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Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted smallest auxiliary array 12/19/2021 Copyright 2000, Kevin Wayne 1
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted smallest auxiliary array 12/19/2021 Copyright 2000, Kevin Wayne 2
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 3
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 4
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 5
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 6
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 7
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 8
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 9
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 10
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 11
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 12
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 13
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 14
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 15
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 16
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 17
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 18
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 19
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n 12/19/2021 Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted Copyright 2000, Kevin Wayne 20
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted first half exhausted 12/19/2021 Copyright 2000, Kevin Wayne 21
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted first half exhausted 12/19/2021 Copyright 2000, Kevin Wayne 22
Merging Mergesort (divide-and-conquer) n Divide array into two halves. n Sort each half separately. n Merge two halves to make sorted whole. – keep track of smallest element in each half – smallest of two elements inserted into auxiliary array – repeat until all elements exhausted first half exhausted 12/19/2021 second half exhausted Copyright 2000, Kevin Wayne 23
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