摘要:题目解答学了的方法哈哈这里是从开始算起,所以求出来的结果是实际是这一步很巧妙,把根结点加上,然后分治左结点和右结点,如果是叶子结点,在中就返回
题目:
Given a complete binary tree, count the number of nodes.
Definition of a complete binary tree from Wikipedia:
In a complete binary tree every level, except possibly the last, is completely filled, and all nodes in the last level are as far left as possible. It can have between 1 and 2h nodes inclusive at the last level h.
解答:
public class Solution { //学了enum的方法哈哈 public enum Direction { LEFT, RIGHT } public int getDepth(TreeNode root, Direction dir) { int depth = 0; //这里是从root开始算起,所以求出来的结果是实际depth + 1 while (root != null) { depth++; if (dir == Direction.LEFT) { root = root.left; } else { root = root.right; } } return depth; } public int countNodes(TreeNode root) { if (root == null) return 0; int leftDepth = getDepth(root, Direction.LEFT); int rightDepth = getDepth(root, Direction.RIGHT); if (leftDepth == rightDepth) { //1 << leftDepth是2^(leftDepth) return (1 << leftDepth) - 1; } else { //这一步很巧妙,把根结点加上,然后分治左结点和右结点,如果是叶子结点,在countNodes中就返回1 return 1 + countNodes(root.left) + countNodes(root.right); } } }
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