java-請問樹的垂直結構是怎樣的?

請問樹的垂直結構是怎樣的?

         1
        /    \
       2      3
      / \    / \
     4   5  6   7
             \   \
              8   9 


The output of print this tree vertically will be:
4
2
1 5 6
3 8
7
9 

看不懂這個例子

最佳回答：

 http://stackoverflow.com/questions/20521098/print-a-tree-vertically

>To understand what's same vertical line, we need to define horizontal distances first. If two nodes have the same Horizontal Distance (HD), then they are on same vertical line. The idea of HD is simple. HD for root is 0, a right edge (edge connecting to right subtree) is considered as +1 horizontal distance and a left edge is considered as -1 horizontal distance. For example, in the below tree, HD for Node 4 is at -2, HD for Node 2 is -1, HD for 5 and 6 is 0 and HD for node 7 is +2.

關鍵點是理解HD，垂直距離。

          1(0)
        /    \
       2 (-1)   3(1)
      / \    / \
     4(-2)5(0) 6(0)   7(2)
             \   \
              8(1)   9(3)

然後排序輸出
-2 4
-1 2
0 1 5 6
1 3 8
2 7
3 0