# GATE Papers >> CSE >> 2015 >> Question No 230

Question No. 230

Consider the following array of elements

The minimum number of interchanges needed to convert it into a max-heap is

Solution of Question No 230 of GATE 2015 CSE Paper

Array:

 0 1 2 3 4 5 6 7 8 9 10 11 12 89 19 50 17 12 15 2 5 7 11 6 9 100

1st interchange : 100 & 15 (A[12] & A[5])

⇒ 2nd interchange : 100 % 50 (A[5] & A[27])

⇒ 3rd interchange  : 100 & 89 (A[2] & A[0])

Maxheap Array:

 100 19 89 17 12 50 2 5 7 11 6 9 15 0 1 2 3 4 5 6 7 8 9 10 11 12

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