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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 ; }
Assertions and Abstract Data Types Even though we have defined assertions in terms of programs, notion can be extended to abstract data types (which are mathematical entities).
prove that n/100=omega(n)
What is a linear array? An array is a way to reference a series of memory locations using the similar name. Every memory location is shown by an array element. An array elemen
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,
What are stacks? A stack is a data structure that organizes data similar to how one organizes a pile of coins. The new coin is always placed on the top and the oldest is on the
Let us assume a sparse matrix from storage view point. Assume that the entire sparse matrix is stored. Then, a significant amount of memory that stores the matrix consists of zeroe
Preconditions assertion A precondition is an assertion which should be true at the initiation of an operation. For instance, a square root operation can't accept a negative a
The space-complexity of the algorithm is a constant. It just needs space of three integers m, n and t. Thus, the space complexity is O(1). The time complexity based on the loop
example of stack using flowchart
Illustrates the program segment for Quick sort. It uses recursion. Program 1: Quick Sort Quicksort(A,m,n) int A[ ],m,n { int i, j, k; if m { i=m; j=n+1; k
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