Question Definition
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
Java Solution
public boolean isValidSerialization(String preorder) {
if(preorder.equals("#")) return true;
String[] array = preorder.split(",");
Deque<Boolean> deque = new ArrayDeque<>();
for(String node : array){
if(node.equals("#")){
if(deque.isEmpty()) return false;
while(!deque.isEmpty() && deque.peek()){
deque.poll();
if(deque.isEmpty()) return false;
deque.poll();
}
deque.push(true);
}else
deque.push(false);
}
return deque.size() == 1 && deque.peek();
}
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