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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 ; }
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The smallest element of an array's index is called its Lower bound.
prove that n/100=omega(n)
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