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Write down the algorithm of quick sort. An algorithm for quick sort: 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 ; }
Explain class P problems Class P is a class of decision problems that can be solved in polynomial time by(deterministic) algorithms. This class of problems is kno
Merge sort: Merge sort is a sorting algorithm that uses the idea of split and conquers. This algorithm splits the array into two halves, sorts them separately and then merges t
How sparse matrix stored in the memory of a computer?
In this unit, we will describe a data structure called Graph. Actually, graph is a general tree along no parent-child relationship. In computer science, Graphs have several applica
A depth-first traversal of a tree visits a nodefirst and then recursively visits the subtrees of that node. Similarly, depth-first traversal of a graph visits a vertex and then rec
Post order traversal: The children of node are visited before the node itself; the root is visited last. Each node is visited after its descendents are visited. Algorithm fo
Variable length codes (Niveau I) Code the following sequence of integers (2, 4, 2, 8, 3, 1, 4, 5, 13, 2) with • unary codes • ? codes • d codes • Rice codes (for a suitable l) and
As we have seen, as the traversal mechanisms were intrinsically recursive, the implementation was also easy through a recursive procedure. Though, in the case of a non-recursive me
Data type An implementation of an abstract data type on a computer. Therefore, for instance, Boolean ADT is implemented as the Boolean type in Java, and bool type in C++;
solve the following relation by recursive method: T(n)=2T(n^1/2)+log n
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