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Verify Preorder Serialization of a Binary Tree -- LeetCode

One way to serialize a binary tree is to use pre-order traversal. When we encounter a non-null node, we record the node‘s value. If it is a null node, we record using a sentinel value such as #.

     _9_    /      3     2  / \   /  4   1  #  6/ \ / \   / # # # #   # #

For example, the above binary tree can be serialized to the string "9,3,4,#,#,1,#,#,2,#,6,#,#", where # represents a null node.

Given a string of comma separated values, verify whether it is a correct preorder traversal serialization of a binary tree. Find an algorithm without reconstructing the tree.

Each comma separated value in the string must be either an integer or a character ‘#‘ representing null pointer.

You may assume that the input format is always valid, for example it could never contain two consecutive commas such as "1,,3".

Example 1:
"9,3,4,#,#,1,#,#,2,#,6,#,#"
Return true

Example 2:
"1,#"
Return false

Example 3:
"9,#,#,1"
Return false

思路:将字符串按照逗号分隔,然后依次读入节点。用一个栈来记录当前的节点是左孩子还是右孩子。

 1 class Solution { 2 public: 3     bool isValidSerialization(string preorder) { 4         istringstream iss(preorder); 5         string node; 6         stack<bool> leftPathTrack; 7         bool tracked = false; 8         while (getline(iss, node, ,)) { 9             if (tracked && leftPathTrack.empty()) return false;10             tracked = true;11             if (node == "#") {12                 //for the case the root node is ‘#‘13                 if (leftPathTrack.empty()) continue;14                 /*15                 If the current node is left child, pop it and mark the next node as right.16                 Else, pop all the nodes in the stack until the top node is a left child,17                 pop it and mark the next node as right.18                 */19                 while (!leftPathTrack.empty() && !leftPathTrack.top()) 20                     leftPathTrack.pop();21                 if (!leftPathTrack.empty()) {22                     leftPathTrack.pop();23                     leftPathTrack.push(false);24                 }25             } else {26                 leftPathTrack.push(true);27             }28         }29         return leftPathTrack.empty();30     }31 };

 

Verify Preorder Serialization of a Binary Tree -- LeetCode