Follow up for problem “Populating Next Right Pointers in Each Node“.
What if the given tree could be any binary tree? Would your previous solution still work?
Note:
- You may only use constant extra space.
For example,
Given the following binary tree,
1 / \ 2 3 / \ \ 4 5 7
After calling your function, the tree should look like:
1 -> NULL / \ 2 -> 3 -> NULL / \ \ 4-> 5 -> 7 -> NULL
题目解析:
本来这道题有个完全二叉树的,但感觉没必要,利用两种通用的方法都能解决,这里只写这道题了。
方案一:
利用程序遍历的思想,每一层之间的元素链接成链表,循环到队列为空为止。
class Solution {
public:
void connect(TreeLinkNode *root) {
if(root == NULL)
return ;
queue<TreeLinkNode *> qtree;
qtree.push(root);
while(!qtree.empty()){
int n = qtree.size();
TreeLinkNode *p = qtree.front();
qtree.pop(); //记得要出队列,同时把子孩子入队列
if(p->left) qtree.push(p->left);
if(p->right) qtree.push(p->right);
for(int i = 1;i < n;i++){
TreeLinkNode *q = qtree.front();
qtree.pop();
if(q->left) qtree.push(q->left);
if(q->right) qtree.push(q->right);
p->next = q;
p = q;
}
p->next = NULL;
}
}
};
方案二:
很巧妙的方法,其实也是一层一层的去链接,但是当处理第i层的时候,i-1层已经链接成一个链表,直接用cur = cur->next,就能找到下一对结点的位置。充分利用了树的结构。
/**
* Definition for binary tree with next pointer.
* struct TreeLinkNode {
* int val;
* TreeLinkNode *left, *right, *next;
* TreeLinkNode(int x) : val(x), left(NULL), right(NULL), next(NULL) {}
* };
*/
class Solution {
public:
void connect(TreeLinkNode *root) {
if(root == NULL) return ;
root->next = NULL;
TreeLinkNode* prevHead = root;
while(true)
{
TreeLinkNode* cur = prevHead;
TreeLinkNode* prev = NULL;
while(cur != NULL)
{
if(cur->left != NULL)
{
if(prev != NULL) prev->next = cur->left, prev = prev->next;
else prev = cur->left, prevHead = prev;
}
if(cur->right != NULL)
{
if(prev != NULL) prev->next = cur->right, prev = prev->next;
else prev = cur->right, prevHead = prev;
}
cur = cur->next;
}
if(prev != NULL) prev->next = NULL;
else break;
}
}
};