( ( ( ( ( ( ( (hfigure bottom-up construction of heap with entries( and bwe begin by constructing -entry heaps on the bottom level( and dwe combine these heaps into -entry heapsand then ( and -entry heapsuntil ( and hwe create the final heap the paths of the down-heap bubblings are highlighted in (dfand hfor simplicitywe only show the key within each node instead of the entire entry