Quick sort and binary search PDF
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INFORMATION AND TECHNOLOGY Branch Code : 016 Data Structures Subject code : 2130702 Presentation on Quick Sort and Binary Search
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This document is about one of the searching and sorting techniques. I had prepare a PDF document about one of the Searching technique in Data structure that is Binary Search and one of the Sorting Technique that is Quick Sort.
Transcript of Quick sort and binary search PDF
INFORMATION AND TECHNOLOGY Branch Code : 016 Data Structures Subject code : 2130702
Presentation on
Quick Sort and Binary Search
Data Structure
Quick Sort and Binary Search
INDEX
Quick Sort
Binary Search
Summary
References
1
2
3
4
Quick Sort
Graphical Representation
Quick Sort
Quicksort Concept
(<pivot) LEFT group
(> pivot) RIGHT group
apply Quicksort to the subgroups
Quick Sort
Quicksort Start
Unsorted Array
Quick Sort
Quicksort Step 1
26 33 35 29 19
pivot
12 22
Quick Sort
Quicksort Step 2
26 33 35 29 19
left
pivot
12 22
right
Quick Sort
Quicksort Step 3
26 33 35 29 19
left
pivot
12 22
right
Quick Sort
Quicksort Step 4
26 33 35 29 19
left
pivot
12 22
right
26 22 35 29 19
left
pivot
12 33
right
Quick Sort
Quicksort Step 5
left
26 22 35 29 19
left
pivot
12 33
right
Quick Sort
Quicksort Step 6
26 22 35 29 19
left
12 33
right
26 22 12 29 19
pivot
35 33
left right
pivot
Quick Sort
Quicksort Step 7
26 22 12 29 19
left
pivot
35 33
right
26 22 12 19 29
left
pivot
35 33
right
Quick Sort
Quicksort Step 8
26 22 12 19 29
left
pivot
35 33
right
26 19 22 12 29
pivot
35
LEFT RIGHT
Quick Sort
Quicksort Step 9
pivot
26
19 22 12 29
previous pivot
35 33
Quicksort Quicksort
pivot
12 19 22 29 33 35
26
26 12 19 22 29 33 35
Quick Sort
Quicksort Efficiency
Quick Sort
Best Case
Quick Sort
Worst case
Quick Sort
Worst case for quicksort
Binary Search
Problem: Search
Binary Search
Search [ 0 ] [ 1 ] [ 2 ] [ 3 ] [ 4 ] [ 700 ]
Number 506643548 Number 233667136 Number 281942902
Number 155778322 Number 580625685 Number 701466868 …
Number 580625685
Binary Search
Binary Search
Binary Search
Binary Search
Binary Search
Example
[ 0 ] [ 1 ]
3 6 7 11 32 33 53
[ 2 ] [ 3 ] [ 4 ] [ 5 ] [ 6 ]
Binary Search
Example
[ 0 ] [ 1 ]
3 6 7 11 32 33 53
[ 2 ] [ 3 ] [ 4 ] [ 5 ] [ 6 ]
Binary Search
Example
[ 0 ] [ 1 ]
3 6 7 11 32 33 53
[ 2 ] [ 3 ] [ 4 ] [ 5 ] [ 6 ]
Binary Search
Example
[ 0 ] [ 1 ]
3 6 7 11 32 33 53
[ 2 ] [ 3 ] [ 4 ] [ 5 ] [ 6 ]
Binary Search
Example
[ 0 ] [ 1 ]
3 6 7 11 32 33 53
[ 2 ] [ 3 ] [ 4 ] [ 5 ] [ 6 ]
Binary Search
Example
[ 0 ] [ 1 ]
3 6 7 11 32 33 53
[ 2 ] [ 3 ] [ 4 ] [ 5 ] [ 6 ]
Binary Search
Example
[ 0 ] [ 1 ]
3 6 7 11 32 33 53
[ 2 ] [ 3 ] [ 4 ] [ 5 ] [ 6 ]
Binary Search
Example
[ 0 ] [ 1 ]
3 6 7 11 32 33 53
[ 2 ] [ 3 ] [ 4 ] [ 5 ] [ 6 ]
Binary Search
Example
[ 0 ] [ 1 ]
3 6 7 11 32 33 53
[ 2 ] [ 3 ] [ 4 ] [ 5 ] [ 6 ]
Binary Search
Example
[ 0 ] [ 1 ]
3 6 7 11 32 33 53
[ 2 ] [ 3 ] [ 4 ] [ 5 ] [ 6 ]
Binary Search
Efficiency of binary search
Binary Search
Efficiency of binary search
# of names
Maximum sequential
searches necessary
Maximum binary
searches necessary
10 10 4
100 100 7
1,000 1,000 10
5,000 5,000 13
10,000 10,000 14
50,000 50,000 16
100,000 100,000 17
1,000,000 1,000,000 20
10,000,000 10,000,000 24
1,000,000,000 1,000,000,000 30
Binary Search
References
