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6. (7 pts) Draw the portion of the decision tree for insertion sort on 5 elements...

6. (7 pts) Draw the portion of the decision tree for insertion sort on 5 elements a1; a2; a3; a4; a5
that contains the path from the root node to the permutation < a2; a3; a1; a5; a4 >.

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Answer #1

ANSWER:

GIVEN THAT:

DRAWING THE TREE FOR INSERTION SORT ON 5 ELEMENTS:

A1; A2; A3; A4; A5:

1. In insertion Sort, By the time we insert a new element all the elements which are in array are already sorted.

2. So the new inserted element is compared against all the elements which are already present in the array and inserted at appropriate position.

3. Portion of decision tree which will lead to <a2,a3,a1,a5,a4> from <a1,a2,a3,a4,a5> :

GIVEN BELOW THE INSERTION DAIGRAM;

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