Question: 1. A min-max heap is a data Structure that supports both deleteMin and deleteMax in O(logN) per operation. The structure is identical to a binary

1. A min-max heap is a data Structure that supports both deleteMin and deleteMax in O(logN) per operation. The structure is identical to a binary heap, but the heap-order property is that for any node, X, at even depth, the element stored at X is smaller than the parent but larger than the grandparent ( where this makes sense), and for any node X at odd depth, the element stored at X is larger than the parent but smaller than grandparent.

1. A min-max heap is a data Structure that supports both deleteMinHow do we find the minimum and maximum element?

Give an algorithm to insert a new node into the min-max heap.

2. Merge the two binomial queues and deleteMax in O(logN) per operation. The structure is identical to a

81 87 17 14 12 78 71 80 20 31) 59) 16 (24) 79) 63) 18) (19) 32) 13) 15) 48 Figure 6.57 Min-max heap 31 28

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