loweredthe node will trickle downward remove repeatedly pressing the rem button causes the node with the highest keylocated at the rootto be removed you'll see it disappearand then be replaced by the last (rightmostnode on the bottom row finally this node will trickle down until it reaches the position that reestablishes the heap order insert new node is always inserted initially in the first available array celljust to the right of the last node on the bottom row of the heap from there it trickles up to the appropriate position pressing the ins key repeatedly carries out this operation java code for heaps the complete code for heap java is shown later in this section before we get to itwe'll focus on the individual operations of insertionremovaland change here are some things to remember from about representing tree as an array for node at index in the arrayits parent is ( - its left child is * its right child is * these relationships can be seen in figure (remember that the symbolwhen applied to integersperforms integer divisionin which the answer is rounded to the lowest integer insertion we place the trickle-up algorithm in its own method the insert(methodwhich includes call to this trickleup(methodis straightforwardpublic boolean insert(int keyif(currentsize==maxsizereturn falsenode newnode new node(key)heaparray[currentsizenewnodetrickleup(currentsize++)return true/if array is full/failure /make new node /put it at the end /trickle it up /success /end insert(we check to make sure the array isn' full and then make new node using the key value passed as an argument this node is inserted at the end of the array finally the trickleup(routine is called to move this node up to its proper position in trickleup((shown belowthe argument is the index of the newly inserted item