Recursive function tracing: drawing Recursion Tree for Smallest(a, 0, 6), where vector a contains the following numbers: a = {4, 5, 10, 1, 20, 23, 2}. • clearly label each recursive call's parameters • clearly label what each call returns to its caller //Return smallest element in sublist a[first...last] int Smallest (vector a, int first, int last) { if (first==last) return a[first]; mid = (first+last)/2; //integer division Smallest(a, first, mid); 12 = Smallest (a, mid+1, last); 11 %D if (11>12) return 12; else return 11; }

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Binomial Heap

A binomial heap is a group of binomial trees. This data structure acts as a priority queue and implements the merge operation faster.