Link: https://leetcode.cn/problems/verify-preorder-serialization-of-a-binary-tree/

Question

difficulty: mid
adj diff: 4

One way to serialize a binary tree is to use preorder 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 '#'.

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 preorder, return true if it is a correct preorder traversal serialization of a binary tree.

It is guaranteed that 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".

Note: You are not allowed to reconstruct the tree.
Example 1:

Input: preorder = "9,3,4,#,#,1,#,#,2,#,6,#,#"
Output: true

Example 2:

Input: preorder = "1,#"
Output: false

Example 3:

Input: preorder = "9,#,#,1"
Output: false
Constraints:

    1 <= preorder.length <= 104
    preorder consist of integers in the range [0, 100] and '#' separated by commas ','.

这道题我并没有 pass,但是这段代码应该是 work 的。

只是超时。

Code

public boolean isValidSerialization(String preorder) {
    String[] nodesStr = preorder.split(",");
    char[] nodes = new char[nodesStr.length];
    for (int i = 0; i < nodesStr.length; i++) {
        nodes[i] = nodesStr[i].charAt(0);
    }
    return isValidTree(nodes, 0, nodes.length);
}

private boolean isValidTree(char[] nodes, int left, int right) {
    if (left == right) {
        return false;
    } else if (left + 1 == right) {
        return nodes[left] == '#';
    } else {
        if (nodes[left] == '#') {
            return false;
        } else if (nodes[left + 1] == '#') {
            return isValidTree(nodes, left + 2, right);
        }
        boolean found = false;
        for (int i = left + 2; i < right; i++) {
            // left tree is [left+1, i]
            // right tree is [i, right]
            if (!isValidTree(nodes, left + 1, i)) {
                continue;
            }
            if (!isValidTree(nodes, i, right)) {
                continue;
            }
            found = true;
            break;
        }
        return found;
    }
}