(i) Binary search can interact poorly with the
memory hierarchy (i.e. caching), because of its
random-access nature. For in-memory
searching, if the interval to be searching is
small, a linear search may have superior
performance simply because it exhibits better
locality of reference.
(ii) Binary search algorithm employs recursive
approach and this approach requires more stack
space.
(iii) Programming binary search algorithm is
very difficult and error prone (Kruse, 1999).
A binary search runs in O(log n) time, compared to linear search's O(n) time. What this means is that the more elements are present in the search array, the faster a binary search will be (on average) compared to a linear search. As an example, given 100 elements, a binary search will discover the item using no more than 7 iterations, while a linear search will require up to 100 iterations; going to up 1000 elements requires only up to 10 iterations, compared to linear search's 1000 maximum iterations. The downside to binary search, however, is that it only operates on a sorted array, which means the data must be pre-sorted using some means.
It's mainly the speed.
It are the speed.
If the data is sorted and every element is directly accessible, then you can perform binary search (see built-in function bsearch), otherwise you have to do linear search (which is slower).
The best search programs to attempt writing in C are the following: Linear search (simplest), Binary search (faster) Hash search (fastest).
/* C program for binary search: This code implements binary search in */ /* C language. It can only be used for sorted arrays, but it's fast as */ /* compared to linear search. If you wish to use binary search on an */ /* array which is not sorted then you must sort it using some sorting */ /* technique say merge sort and then use binary search algorithm to */ /* find the desired element in the list. If the element to be searched */ /* is found then its position is printed. */ #include<stdio.h> main() { int c, first, last, middle, n, search, array[100]; printf("Enter number of elements\n"); scanf("%d",&n); printf("Enter %d integers\n", n); for ( c = 0 ; c < n ; c++ ) scanf("%d",&array[c]); printf("Enter value to find\n"); scanf("%d",&search); first = 0; last = n - 1; middle = (first+last)/2; while( first <= last ) { if ( array[middle] < search ) first = middle + 1; else if ( array[middle] == search ) { printf("%d found at location %d.\n", search, middle+1); break; } else last = middle - 1; middle = (first + last)/2; } if ( first > last ) printf("Not found! %d is not present in the list.\n", search); return 0; }
A = 1010 b = 1011 c = 1100
An array in C is structured so that it has no particular size; you have to know ahead of time what the dimensions are.So, a linear search means that you go from the first element to the last, either finding the element in the table, or going to the very last element and not finding it.Arrays in C can be zero-terminated, in which case you get the element that does not have a value, and that indicates the value you are searching for is not there.If the array is not zero terminated then you can calculate the dimension of the array, or apply the sizeof operator times the size of the first element to determine the length of the search.
If the data is sorted and every element is directly accessible, then you can perform binary search (see built-in function bsearch), otherwise you have to do linear search (which is slower).
The best search programs to attempt writing in C are the following: Linear search (simplest), Binary search (faster) Hash search (fastest).
pro c language to implement linear search using pointers
a tree which has atmost two nodes is called binary tree binary search tree is a binary tree which satisfies the following 1.every node in tree must be distinct 2.values in right subtree > value at root 3.values in left subtree < value at root 4.left,right subtrees must be binary search trees
Linear search usually implies the data sequence is in an unsorted order or does not provide random access iterators (such as a list). Essentially you start from the beginning and traverse through each element until you find the element you are looking for, or reach the "one-past-the-end" iterator (which means the value does not exist). With binary search you use a sorted sequence, such as a sorted array. You start in the middle of the sequence. If the value is not there, you know which half of the array the value must be in, so you start in the middle of that half. By eliminating half the array (or sub-array) each time you will either find the value or you end up with an empty sub-array (which means the value does not exist). You can also use binary search on a binary tree which achieves the same thing, but the tree must be perfectly balanced (such as a red/black tree) to be of benefit.
to implement operations on binary heap in c
/* C program for binary search: This code implements binary search in */ /* C language. It can only be used for sorted arrays, but it's fast as */ /* compared to linear search. If you wish to use binary search on an */ /* array which is not sorted then you must sort it using some sorting */ /* technique say merge sort and then use binary search algorithm to */ /* find the desired element in the list. If the element to be searched */ /* is found then its position is printed. */ #include<stdio.h> main() { int c, first, last, middle, n, search, array[100]; printf("Enter number of elements\n"); scanf("%d",&n); printf("Enter %d integers\n", n); for ( c = 0 ; c < n ; c++ ) scanf("%d",&array[c]); printf("Enter value to find\n"); scanf("%d",&search); first = 0; last = n - 1; middle = (first+last)/2; while( first <= last ) { if ( array[middle] < search ) first = middle + 1; else if ( array[middle] == search ) { printf("%d found at location %d.\n", search, middle+1); break; } else last = middle - 1; middle = (first + last)/2; } if ( first > last ) printf("Not found! %d is not present in the list.\n", search); return 0; }
i want to know how to give the algorithm password in a computer ?
It is linear in c and non-linear in d. If both c and d are variables, then it is non-linear.
A function of the form f(x) = mx + c where m and c are constants is linear.
There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.
The output of a binary search routine is either (usually) the address of the element that matched the search term, or, if there was no match, the address of where the new element should be placed. Of course, this means that there are two outputs, one, an address, and two, whether or not the search term was found; which means that a single valued function will not suffice - it is necessary that one of the parameters be an address, perhaps of the flag variable.