LeetCode: Populating Next Right Pointer in Each Node
Given a binary tree
struct TreeLinkNode { TreeLinkNode *left; TreeLinkNode *right; TreeLinkNode *next; }
Populate each next pointer to point to its next right node. If there is no next right node, the next pointer should be set to NULL
.
Initially, all next pointers are set to NULL
.
Note:
- You may only use constant extra space.
- You may assume that it is a perfect binary tree (ie, all leaves are at the same level, and every parent has two children).
For example,
Given the following perfect binary tree,1 / \ 2 3 / \ / \ 4 5 6 7
After calling your function, the tree should look like:
1 -> NULL / \ 2 -> 3 -> NULL / \ / \ 4->5->6->7 -> NULL
地址:
算法:用递归好简单有木有。按上面的例子,先完成左右子树的连接,然后,根的next指向空,第二个节点指向第三个节点,第五个节点指向第六个节点。代码:
1 /** 2 * Definition for binary tree with next pointer. 3 * struct TreeLinkNode { 4 * int val; 5 * TreeLinkNode *left, *right, *next; 6 * TreeLinkNode(int x) : val(x), left(NULL), right(NULL), next(NULL) {} 7 * }; 8 */ 9 class Solution {10 public:11 void connect(TreeLinkNode *root) {12 if(!root) return ;13 root->next = NULL;14 connect(root->left);15 connect(root->right);16 TreeLinkNode *p = root->left;17 TreeLinkNode *q = root->right;18 while(p && q){19 p->next = q;20 p = p->right;21 q = q->left;22 }23 }24 };
第二题:
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
地址:
算法:这道题与前面一题不同的是,这里的二叉树不再是完美二叉树,而是一颗普通的二叉树。由于是一颗普通的二叉树,所以沿着右指针走不一定会到达下一层的最后一个节点,因为这个右指针可能为空;同样,沿着左指针走也不一定会到达下一层的第一个节点,因为这个左指针可能为空。所以,我们需要一个找到当前节点下一层的第一个节点的函数,然后顺着next也可以到达该层的最后一个节点。利用这样的函数,我们就可以完成题目的要求。代码:
1 /** 2 * Definition for binary tree with next pointer. 3 * struct TreeLinkNode { 4 * int val; 5 * TreeLinkNode *left, *right, *next; 6 * TreeLinkNode(int x) : val(x), left(NULL), right(NULL), next(NULL) {} 7 * }; 8 */ 9 class Solution {10 public:11 void connect(TreeLinkNode *root) {12 if(!root) return ;13 root->next = NULL;14 connect(root->left);15 connect(root->right);16 TreeLinkNode *p = root->left;17 TreeLinkNode *q = root->right;18 while(p && q){19 TreeLinkNode *r = nextLevelFirst(p);20 while(p->next){21 p = p->next;22 }23 p->next = q;24 p = r;25 q = nextLevelFirst(q);26 }27 }28 TreeLinkNode * nextLevelFirst(TreeLinkNode *p){29 while(p){30 if(p->left){31 return p->left;32 }else if(p->right){33 return p->right;34 }35 p = p->next;36 }37 return NULL;38 }39 };