The new depth is log (n + N) – log N. An additional cost is that of finding the minimum of the N roots. Due to the breaking of the heap into N heaps, we have to examine log N less levels than before. A node can be placed in each one of these levels requiring two comparisons and one swap. Because of these levels being near to the root, there is a high probability that a node may have to travel through all these levels during the heapify phase