题目
image.png分析
首先,我们要知道一棵树长啥样,就需要遍历这棵树。我们需要知道某个节点下面的树长啥样,需要把该节点放到最后遍历,先遍历左孩子和右孩子。因此采用后序遍历。
其次,我们需要知道所有的其他子树长什么样,这样才能比较这棵子树和其他子树是否相同。因此我们在遍历的时候,将其序列化。然后存到HashMap中。
代码
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode() {}
* TreeNode(int val) { this.val = val; }
* TreeNode(int val, TreeNode left, TreeNode right) {
* this.val = val;
* this.left = left;
* this.right = right;
* }
* }
*/
class Solution {
LinkedList<TreeNode> nodeList = new LinkedList<TreeNode>();
HashMap<String, Integer> map = new HashMap<String, Integer>();
public List<TreeNode> findDuplicateSubtrees(TreeNode root) {
if (root == null) return null;
traversal(root);
return nodeList;
}
private String traversal(TreeNode root){
if (root == null) return "#";
String leftStr = traversal(root.left);
String rigthStr = traversal(root.right);
String str = leftStr + "," + rigthStr + "," + String.valueOf(root.val);
if (map.containsKey(str)){
if (map.get(str) == 1){
map.put(str, 2);
nodeList.add(root);
}
}
else{
map.put(str, 1);
}
return str;
}
}
性能优化后的代码(主要将String换成了StringBuilder),优化后的代码就不怎么直观了。
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode() {}
* TreeNode(int val) { this.val = val; }
* TreeNode(int val, TreeNode left, TreeNode right) {
* this.val = val;
* this.left = left;
* this.right = right;
* }
* }
*/
class Solution {
LinkedList<TreeNode> nodeList = new LinkedList<TreeNode>();
HashMap<String, Integer> map = new HashMap<String, Integer>();
public List<TreeNode> findDuplicateSubtrees(TreeNode root) {
traversal(root);
return nodeList;
}
private String traversal(TreeNode root){
if (root == null) return "#";
StringBuilder leftStr = new StringBuilder(traversal(root.left));
String subStr = leftStr.append(",").append(traversal(root.right)).append(",").append(String.valueOf(root.val)).toString();
int times = map.getOrDefault(subStr, 0);
if (times == 1){
nodeList.add(root);
}
map.put(subStr, times + 1);
return subStr;
}
}
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