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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 ; }
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a) Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same. Do this by usin
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