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Ans.
An algorithm for the quick sort is as follows:
void quicksort ( int a[ ], int lower, int upper )
{
int i ;
if ( upper > lower ) {
i = split ( a, lower, upper ) ; quicksort ( a, lower, i - 1 ) ; quicksort ( a, i + 1, upper ) ; }
}
int split ( int a[ ], int lower, int upper ){
int i, p, q, t ;
p = lower + 1 ;
q = upper ;
i = a[lower] ;
while ( q >= p )
while ( a[p] < i )
p++ ;
while ( a[q] > i )
q-- ;
if ( q > p )
t = a[p] ; a[p] = a[q] ; a[q] = t ;
t = a[lower] ; a[lower] = a[q] ; a[q] = t ;
return q ; }
Asymptotic notation Let us describe a few functions in terms of above asymptotic notation. Example: f(n) = 3n 3 + 2n 2 + 4n + 3 = 3n 3 + 2n 2 + O (n), as 4n + 3 is of
1) Why space complexity is comparatively more critical than time complexity? 2) Determine the space complexity of Euclid Algorithm?
Merging 4 sorted files having 50, 10, 25 and 15 records will take time
1. You are required to hand in both a hard copy and an electronic copy of the written report on the project described in A, including all the diagrams you have drawn. 2. You
include include include /* Definition of structure node */ typedef struct node { int data; struct node *next; } ; /* Definition of push function */
Q. Which are the two standard ways of traversing a graph? Explain them with an example of each. Ans: T he two ways of traversing a graph are written below
Q. Write down the binary search algorithm and trace to search element 91 in following given list: 13 30 62 73 81 88 91
Illustrate the intervals in mathematics Carrier set of a Range of T is the set of all sets of values v ∈ T such that for some start value s ∈ T and end value e ∈ T, either s ≤
what are the factors for efficency of algoritms
1. The following is a recursive algorithm to calculate the k -th power of 2. Input k a natural number Output kth power of 2 Algorithem: If k =0then return 1 Else return 2* po
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