Draw a binary tree with seven vertices and only one leaf.
时间: 2024-02-13 08:03:03 浏览: 22
Here is a possible binary tree with seven vertices and only one leaf:
```
o
/ \
o o
/ / \
o o o
/
o
```
Note that "o" represents a vertex and the leaf is the bottom-left vertex.
相关问题
Given a binary tree with 199 nodes and 66 leaves, the number of 1-degree nodes in the tree is ____ . A. 66 B. 67 C. 68 D. 69
Let's assume that the number of 1-degree nodes in the tree is x.
Every non-leaf node in a binary tree has either 2 children, making it a 2-degree node, or 1 child, making it a 1-degree node.
We know that the tree has 66 leaves, which are all 0-degree nodes. So, the total number of non-leaf nodes in the tree is 199 - 66 = 133.
Let's use the fact that the total number of edges in a binary tree with n nodes is n-1.
Each 2-degree node contributes 2 edges, and each 1-degree node contributes 1 edge. So, we can write an equation based on the number of edges in the tree:
2(number of 2-degree nodes) + 1(x) = 199-1
Simplifying, we get:
2(number of 2-degree nodes) + x = 198
Now, let's use the fact that the total number of leaves in a binary tree with n nodes is (n+1)/2.
We know that the tree has 66 leaves, so:
(199+1)/2 = 100
This means that there are 100 0-degree nodes in the tree.
Using the fact that the sum of the degrees of all nodes in a tree is twice the number of edges, we can write another equation:
2(number of 2-degree nodes) + 1(x) + 0(100) = 2(199-1)
Simplifying, we get:
2(number of 2-degree nodes) + x = 396
Now we have two equations:
2(number of 2-degree nodes) + x = 198
2(number of 2-degree nodes) + x = 396
Subtracting the first equation from the second, we get:
0 + 0x = 198
This is impossible, so there must be an error in the problem statement.
Therefore, the answer is unknown.
用C语言Write a function to print the leaf nodes of the binary tree.
好的,我明白了。以下是一个用C语言编写的函数,可以打印出二叉树的叶子节点:
```
void printLeafNodes(struct node* root)
{
if(root == NULL)
return;
if(root->left == NULL && root->right == NULL)
{
printf("%d ", root->data);
return;
}
if(root->left)
printLeafNodes(root->left);
if(root->right)
printLeafNodes(root->right);
}
```
这个函数使用递归的方法遍历二叉树,并打印出叶子节点的值。如果节点是叶子节点,则打印出节点的值,然后返回上一级。如果节点不是叶子节点,则递归处理其左右子节点。