UNIT 5C Merge Sort
UNIT 5C
Merge Sort
15110 Principles of Computing, Carnegie
Mellon University
1
Divide and Conquer
?
In computation:
¨C
¨C
¨C
Divide the problem into ¡°simpler¡± versions of itself.
Conquer each problem using the same process
(usually recursively).
Combine the results of the ¡°simpler¡± versions to
form your final solution.
Examples:
Towers of Hanoi,
Fractals,
Binary Search,
Merge Sort,
Quicksort,
and many, many more
4
Divide
Group of 8
Groups of 4
Groups of 2
Groups of 1
Now each "group" is (trivially) sorted!
3
Conquer (merge sorted lists)
4
Conquer (merge sorted lists)
5
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