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
116. Populating Next Right Pointers in Each Node 的延续,如果给定的树是任何二叉树,不一定是完全二叉树,就是说不是每个节点都包含有两个子节点。
解法1:BFS, easy but not constant space, Complexity: time O(N) space O(N) - queue
解法2: Iteration - use dummy node to keep record of the next level's root to refer pre travel current level by referring to root in the level above,Complexity: time O(N) space O(1)
Java:BFS
class Solution { public void connect(TreeLinkNode root) { if(root == null)return; Queue<TreeLinkNode> nodes = new LinkedList<>(); nodes.offer(root); while(!nodes.isEmpty()){ int size = nodes.size(); for(int i = 0; i < size; i++){ TreeLinkNode cur = nodes.poll(); TreeLinkNode n = null; if(i < size - 1){ n = nodes.peek(); } cur.next = n; if(cur.left != null)nodes.offer(cur.left); if(cur.right != null)nodes.offer(cur.right); } } } }
Java: Iteration
class Solution { public void connect(TreeLinkNode root) { TreeLinkNode dummy = new TreeLinkNode(0); TreeLinkNode pre = dummy;//record next root while(root != null){ if(root.left != null){ pre.next = root.left; pre = pre.next; } if(root.right != null){ pre.next = root.right; pre = pre.next; } root = root.next;//reach end, update new root & reset dummy if(root == null){ root = dummy.next; pre = dummy; dummy.next = null; } } } }
Java:
public void connect(TreeLinkNode root) { if(root == null) return; TreeLinkNode lastHead = root;//prevous level's head TreeLinkNode lastCurrent = null;//previous level's pointer TreeLinkNode currentHead = null;//currnet level's head TreeLinkNode current = null;//current level's pointer while(lastHead!=null){ lastCurrent = lastHead; while(lastCurrent!=null){ //left child is not null if(lastCurrent.left!=null) { if(currentHead == null){ currentHead = lastCurrent.left; current = lastCurrent.left; }else{ current.next = lastCurrent.left; current = current.next; } } //right child is not null if(lastCurrent.right!=null){ if(currentHead == null){ currentHead = lastCurrent.right; current = lastCurrent.right; }else{ current.next = lastCurrent.right; current = current.next; } } lastCurrent = lastCurrent.next; } //update last head lastHead = currentHead; currentHead = null; } }
Python:
class TreeNode: def __init__(self, x): self.val = x self.left = None self.right = None self.next = None def __repr__(self): if self is None: return "Nil" else: return "{} -> {}".format(self.val, repr(self.next)) class Solution: # @param root, a tree node # @return nothing def connect(self, root): head = root while head: prev, cur, next_head = None, head, None while cur: if next_head is None: if cur.left: next_head = cur.left elif cur.right: next_head = cur.right if cur.left: if prev: prev.next = cur.left prev = cur.left if cur.right: if prev: prev.next = cur.right prev = cur.right cur = cur.next head = next_head
C++:
class Solution { public: void connect(TreeLinkNode *root) { TreeLinkNode *dummy = new TreeLinkNode(0), *t = dummy; while (root) { if (root->left) { t->next = root->left; t = t->next; } if (root->right) { t->next = root->right; t = t->next; } root = root->next; if (!root) { t = dummy; root = dummy->next; dummy->next = NULL; } } } };
类似题目:
[LeetCode] 116. Populating Next Right Pointers in Each Node 每个节点的右向指针