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LeetCode Binary Tree Vertical Order Traversal

时间:2016-03-30 06:50:05      阅读:190      评论:0      收藏:0      [点我收藏+]

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:

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.

技术分享

 

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 }

 

LeetCode Binary Tree Vertical Order Traversal

原文:http://www.cnblogs.com/Dylan-Java-NYC/p/5335553.html

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