The document discusses different searching algorithms. It describes sequential search which compares the search key to each element in the list sequentially until a match is found. The best case is 1 comparison, average is N/2 comparisons, and worst case is N comparisons. It also describes binary search which divides the sorted list in half at each step, requiring log(N) comparisons in the average and worst cases. The document also covers indexing which structures data for efficient retrieval based on key values and includes clustered vs unclustered indexes.
linear search and binary search, Class lecture of Data Structure and Algorithms and Python.
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linear search and binary search, Class lecture of Data Structure and Algorithms and Python.
Stack, Queue, Tree, Python, Python Code, Computer Science, Data, Data Analysis, Machine Learning, Artificial Intellegence, Deep Learning, Programming, Information Technology, Psuedocide, Tree, pseudocode, Binary Tree, Binary Search Tree, implementation, Binary search, linear search, Binary search operation, real-life example of binary search, linear search operation, real-life example of linear search, example bubble sort, sorting, insertion sort example, stack implementation, queue implementation, binary tree implementation, priority queue, binary heap, binary heap implementation, object-oriented programming, def, in BST, Binary search tree, Red-Black tree, Splay Tree, Problem-solving using Binary tree, problem-solving using BST, inorder, preorder, postorder
PPT On Sorting And Searching Concepts In Data Structure | In Programming Lang...Umesh Kumar
PPT On Sorting And Searching Concepts In Data Structure. In Many Programming Concepts We Use This Tricks In Algorithms....So Wacth,Learn And Enjoy Study.....Thanks
PPT On Sorting And Searching Concepts In Data Structure | In Programming Lang...Umesh Kumar
PPT On Sorting And Searching Concepts In Data Structure. In Many Programming Concepts We Use This Tricks In Algorithms....So Wacth,Learn And Enjoy Study.....Thanks
Daniel Glazman, W3C CSS Working Group Chair and Web Tech Lead from Samsung OSG, discusses how CSS 3 and stylesheets will affect web standards in the future.
Array is a container which can hold a fix number of items and these items should be of the same type. Most of the data structures make use of arrays to implement their algorithms. Following are the important terms to understand the concept of array.
Searching is a fundamental operation in data structures and algorithms, and it involves locating a specific item within a collection of data. Various searching techniques exist, and the choice of which one to use depends on factors like the data structure, the nature of the data, and the efficiency requirements.
Data Structure is the specific method for sorting out the data in a system with the goal that it could be utilized efficiently. These can implement at least one specific abstract data types (ADT), which indicate the operations that can be performed on the data structure and the computational unpredictability of those operations. Copy the link given below and paste it in new browser window to get more information on Data Structure & Algorithms:- www.transtutors.com/homework-help/computer-science/data-structure-and-algorithms.aspx
How to Make a Field invisible in Odoo 17Celine George
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How to Split Bills in the Odoo 17 POS ModuleCeline George
Bills have a main role in point of sale procedure. It will help to track sales, handling payments and giving receipts to customers. Bill splitting also has an important role in POS. For example, If some friends come together for dinner and if they want to divide the bill then it is possible by POS bill splitting. This slide will show how to split bills in odoo 17 POS.
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2. Searching Algorithms
• Necessary components to search a list of data
– Array containing the list
– Length of the list
– Item for which you are searching
• After search completed
– If item found, report “success,” return location in array
– If item not found, report “not found” or “failure”
3. Searching Algorithms (Cont’d)
• Suppose that you want to determine whether 27 is in the list
• First compare 27 with list[0]; that is, compare 27 with 35
• Because list[0] ≠ 27, you then compare 27 with list[1]
• Because list[1] ≠ 27, you compare 27 with the next element in
the list
• Because list[2] = 27, the search stops
• This search is successful!
Figure 1: Array list with seven (07) elements
4. Searching Algorithms (Cont’d)
Let’s now search for 10
The search starts at the first element in the list; that is, at
list[0]
Proceeding as before, we see that this time the search item,
which is 10, is compared with every item in the list
Eventually, no more data is left in the list to compare with
the search item; this is an unsuccessful search
5. Sequential Search Algorithm
The previous could be further reduced to:
public static int linSearch(int[] list, int listLength, int key) {
int loc;
boolean found = false;
for(int loc = 0; loc < listLength; loc++) {
if(list[loc] == key) {
found = true;
break;
}
}
if(found)
return loc;
else
return -1;
}
6. Sequential Search Algorithm (Cont’d)
public static int linSearch(int[] list, int listLength, int key) {
int loc;
for(int loc = 0; loc < listLength; loc++) {
if(list[loc] == key)
return loc;
}
return -1;
}
7. Sequential Search Algorithm (Cont’d)
• Using a while (or a for) loop, the definition of the method
seqSearch can also be written without the break statement as:
public static int linSearch(int[] list, int listLength, int key) {
int loc = 0;
boolean found = false;
while(loc < listLength && !found) {
if(list[loc] == key)
found = true;
else
loc++
}
if(found)
return loc;
else
return -1;
}
8. Performance of the Sequential Search
• Suppose that the first element in the array list contains the
variable key, then we have performed one comparison to find
the key.
• Suppose that the second element in the array list contains the
variable key, then we have performed two comparisons to find
the key.
• Carry on the same analysis till the key is contained in the last
element of the array list. In this case, we have performed N
comparisons (N is the size of the array list) to find the key.
• Finally if the key is NOT in the array list, then we would have
performed N comparisons and the key is NOT found and we
would return -1.
9. Performance of the Sequential Search (Cont’d)
• Therefore, the best case is: 1
• And, the worst case is: N
• The average case is:
1 + 2 + 3 + …..+ N + N
N+1
Best case
Average Number of
Comparisons
Worst case and key found at the end of
the array list!
Worst case and key is NOT found!
=
Number of possible cases
10. Binary Search Algorithm
Can only be performed on a sorted list !!!
Uses divide and conquer technique to search list
11. Binary Search Algorithm (Cont’d)
Search item is compared with middle element of list
If search item < middle element of list, search is restricted
to first half of the list
If search item > middle element of list, search second half
of the list
If search item = middle element, search is complete
12. Binary Search Algorithm (Cont’d)
• Determine whether 75 is in the list
Figure 2: Array list with twelve (12) elements
Figure 3: Search list, list[0] … list[11]
14. Binary Search Algorithm (Cont’d)
public static int binarySearch(int[] list, int listLength, int key) {
int first = 0, last = listLength - 1;
int mid;
boolean found = false;
while (first <= last && !found) {
mid = (first + last) / 2;
if (list[mid] == key)
found = true;
else
if(list[mid] > key)
last = mid - 1;
else
first = mid + 1;
}
if (found)
return mid;
else
return –1;
} //end binarySearch
17. Indexed Search
• Indexes: Data structures to organize records to
optimize certain kinds of retrieval operations.
o Speed up searches for a subset of records, based on values in
certain (“search key”) fields
o Updates are much faster than in sorted files.
18. Alternatives for Data Entry k* in
Index
Data Entry : Records stored in index file
Given search key value k, provide for efficient retrieval of
all data entries k* with value k.
In a data entry k* , alternatives include that we can store:
alternative 1: Full data record with key value k, or
alternative 2: <k, rid of data record with search key value k>, or
alternative 3: <k, list of rids of data records with search key k>
Choice of above 3 alternative data entries is orthogonal to indexing
technique used to locate data entries.
Example indexing techniques: B+ trees, hash-based structures, etc.
19. Alternatives for Data Entries
Alternative 1: Full data record with key value k
Index structure is file organization for data records (instead
of a Heap file or sorted file).
At most one index on a given collection of data records
can use Alternative 1.
Otherwise, data records are duplicated, leading to
redundant storage and potential inconsistency.
If data records are very large, this implies size of auxiliary
information in index is also large.
20. Alternatives for Data Entries
Alternatives 2 (<k, rid>) and 3 (<k, list-of-rids>):
Data entries typically much smaller than data records.
Comparison:
Both better than Alternative 1 with large data records,
especially if search keys are small.
Alternative 3 more compact than Alternative 2,
but leads to variable sized data entries even if search keys
are of fixed length.
21. Index Classification
Clustered vs. unclustered index :
If order of data records is the same as, or `close to’,
order of data entries, then called clustered index.
22. Index Clustered vs Unclustered
Observation 1:
Alternative 1 implies clustered. True ?
Observation 2:
In practice, clustered also implies Alternative 1 (since
sorted files are rare).
Observation 3:
A file can be clustered on at most one search key.
Observation 4:
Cost of retrieving data records through index varies
greatly based on whether index is clustered or not !!
23. Index Clustered vs Unclustered
Observation 1:
Alternative 1 implies clustered. True ?
Observation 2:
In practice, clustered also implies Alternative 1 (since
sorted files are rare).
Observation 3:
A file can be clustered on at most one search key.
Observation 4:
Cost of retrieving data records through index varies
greatly based on whether index is clustered or not !!
24. Clustered vs. Unclustered Index
Index entries
CLUSTERED direct search for
UNCLUSTERED
data entries
Data entries
(Index File)
(Data file)
Data Records
Data entries
Data Records
Suppose Alternative (2) is used for data entries.
25. Clustered vs. Unclustered Index
Use Alternative (2) for data entries
Data records are stored in Heap file.
To build clustered index, first sort the Heap file
Overflow pages may be needed for inserts.
Thus, order of data recs is close to (not identical to)
sort order.
Index entries
CLUSTERED direct search for
UNCLUSTERED
data entries
Data entries
(Index File)
(Data file)
Data Records
Data entries
Data Records
26. Summary of Index Search
Many alternative file organizations exist, each appropriate in
some situation.
If selection queries are frequent, sorting the file or building an
index is important.
Hash-based indexes only good for equality search.
Sorted files and tree-based indexes best for range search; also
good for equality search.
Files rarely kept sorted in practice; B+ tree index is better.
Index is a collection of data entries plus a way to quickly find
entries with given key values.
27. Summary of Index Search
Data entries can be :
actual data records,
<key, rid> pairs, or
<key, rid-list> pairs.
Can have several indexes on a given file of data
records, each with a different search key.
Indexes can be classified as clustered vs. unclustered,
Differences have important consequences for
utility/performance of query processing