rendered paste bodypublic class exercises{ public static boolean isLeaf(TreeNode node) { return node != null && node.getLeft() == null && node.getRight() == null; } public static int sumTree(TreeNode root) { if(root == null) return 0; return ((Integer)root.getValue()).intValue() + sumTree(root.getLeft()) + sumTree(root.getRight()); } public static int countPaths(TreeNode root) { if(root == null) return 0; int sum = 0; if(root.getLeft() != null) sum += 1 + countPaths(root.getLeft()); if(root.getRight() != null) sum += 1 + countPaths(root.getRight()); return sum; } public static int depth(TreeNode root) { if(root == null) return 0; return Math.max(1 + depth(root.getLeft()), 1 + depth(root.getRight())); } public static void main() { TreeNode head = new TreeNode(1, new TreeNode(2, new TreeNode(4), new TreeNode(5)), new TreeNode(3, new TreeNode(6), null)); printTree(head); System.out.println("\n"+sumTree(head)); System.out.println(countPaths(head)); System.out.println(depth(head)); } public static void printTree(TreeNode root) { if(root == null) return; printTree(root.getLeft()); System.out.print(root.getValue()+" "); printTree(root.getRight()); } public static int countNodes(TreeNode root) { if(root == null) return 0; return 1 + countNodes(root.getLeft()) + countNodes(root.getRight()); } public static double bushRatio(TreeNode root) { if(root == null) return 0.; return countNodes(root)/(Math.pow(2., depth(root)) - 1.); } public static TreeNode copy(TreeNode root) { if(root == null) return null; return new TreeNode(root.getValue(), copy(root.getLeft()), copy(root.getRight())); } public static TreeNode mirrorImage(TreeNode root) { if(root == null) return null; return new TreeNode(root.getValue(), mirrorImage(root.getRight()), mirrorImage(root.getLeft())); } public static boolean sameShape(TreeNode root1, TreeNode root2) { if(root1 == null && root2 == null) return true; if((root1 == null && root2 != null) || (root1 != null && root2 == null)) return false; return sameShape(root1.getLeft(), root2.getLeft()) && sameShape(root1.getRight(), root2.getRight()); } public static boolean hasSameSubtree(TreeNode root1, TreeNode root2) { if(root2 == null) return true; if(root1 == null) return false; if(sameShape(root1,root2)) return true; return sameShape(root1.getLeft(),root2) || sameShape(root1.getRight(),root2); }}