LeetCode Binary Tree Vertical Order Traversal

Posted 2020-07-01 Dylan_Java_NYC

原题链接在这里：https://leetcode.com/problems/binary-tree-vertical-order-traversal/

题目：

Given a binary tree, return the vertical order traversal of its nodes\' values. (ie, from top to bottom, column by column).

If two nodes are in the same row and column, the order should be from left to right.

Examples:
Given binary tree [3,9,20,null,null,15,7],

    3
   / \\
  9  20
    /  \\
   15   7

return its vertical order traversal as:

[
  [9],
  [3,15],
  [20],
  [7]
]

 Given binary tree [3,9,20,4,5,2,7],

    _3_
   /   \\
  9    20
 / \\   / \\
4   5 2   7

return its vertical order traversal as:

[
  [4],
  [9],
  [3,5,2],
  [20],
  [7]
]

题解：

与Binary Tree Level Order Traversal类似。

BFS, 把TreeNode和它所在的col分别放到两个queue中. dequeue后放TreeNode到对应的 colunm bucket里.

Example of [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]. Notice that every child access changes one column bucket id. So 12 actually goes ahead of 11.

 

Time Complexity: O(n). Space: O(n).

AC Java:

 1 /**
 2  * Definition for a binary tree node.
 3  * public class TreeNode {
 4  *     int val;
 5  *     TreeNode left;
 6  *     TreeNode right;
 7  *     TreeNode(int x) { val = x; }
 8  * }
 9  */
10 public class Solution {
11     public List<List<Integer>> verticalOrder(TreeNode root) {
12         List<List<Integer>> res = new ArrayList<List<Integer>>();
13         if(root == null){
14             return res;
15         }
16         HashMap<Integer, List<Integer>> colBucket = new HashMap<Integer, List<Integer>>();
17         LinkedList<TreeNode> que = new LinkedList<TreeNode>();
18         LinkedList<Integer> cols = new LinkedList<Integer>();
19         int min = 0;
20         int max = 0;
21         
22         que.add(root);
23         cols.add(0);
24         while(!que.isEmpty()){
25             TreeNode tn = que.poll();
26             int col = cols.poll();
27             if(!colBucket.containsKey(col)){
28                 colBucket.put(col, new ArrayList<Integer>());
29             }
30             colBucket.get(col).add(tn.val);
31             min = Math.min(min, col);
32             max = Math.max(max, col);
33             
34             if(tn.left != null){
35                 que.add(tn.left);
36                 cols.add(col-1);
37             }
38             if(tn.right != null){
39                 que.add(tn.right);
40                 cols.add(col+1);
41             }
42         }
43         for(int i = min; i<=max; i++){
44             res.add(colBucket.get(i));
45         }
46         return res;
47     }
48 }

便于理解，可以吧TreeNode和它对应的column number放在一个Pair里.

Time Complexity: O(n). Space: O(n).

AC Java:

 1 /**
 2  * Definition for a binary tree node.
 3  * public class TreeNode {
 4  *     int val;
 5  *     TreeNode left;
 6  *     TreeNode right;
 7  *     TreeNode(int x) { val = x; }
 8  * }
 9  */
10 public class Solution {
11     public List<List<Integer>> verticalOrder(TreeNode root) {
12         List<List<Integer>> res = new ArrayList<List<Integer>>();
13         if(root == null){
14             return res;
15         }
16         
17         HashMap<Integer, List<Integer>> hm = new HashMap<Integer, List<Integer>>();
18         LinkedList<Pair> que = new LinkedList<Pair>();
19         que.add(new Pair(root, 0));
20         int min = 0;
21         int max = 0;
22         while(!que.isEmpty()){
23             Pair cur = que.poll();
24             if(!hm.containsKey(cur.col)){
25                 hm.put(cur.col, new ArrayList<Integer>());
26             }
27             hm.get(cur.col).add(cur.tn.val);
28             max = Math.max(max, cur.col);
29             min = Math.min(min, cur.col);
30             
31             if(cur.tn.left != null){
32                 que.add(new Pair(cur.tn.left, cur.col-1));
33             }
34             if(cur.tn.right != null){
35                 que.add(new Pair(cur.tn.right, cur.col+1));
36             }
37         }
38         for(int i = min; i<=max; i++){
39             res.add(hm.get(i));
40         }
41         return res;
42     }
43     
44     public class Pair{
45         TreeNode tn;
46         int col;
47         public Pair(TreeNode tn, int col){
48             this.tn = tn;
49             this.col = col;
50         }
51     }
52 }

类似Vertical Order Traversal of a Binary Tree.