Serialization is converting a data structure or object into a sequence of bits so that it can be stored in a file or memory buffer, or transmitted across a network connection link to be reconstructed later in the same or another computer environment.
Design an algorithm to serialize and deserialize a binary search tree. There is no restriction on how your serialization/deserialization algorithm should work. You need to ensure that a binary search tree can be serialized to a string, and this string can be deserialized to the original tree structure.
The encoded string should be as compact as possible.
Example 1:
Input: root = [2,1,3] Output: [2,1,3]
Example 2:
Input: root = [] Output: []
Constraints:
- The number of nodes in the tree is in the range
[0, 104]
. 0 <= Node.val <= 104
- The input tree is guaranteed to be a binary search tree.
# Definition for a binary tree node.
# class TreeNode:
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None
class Codec:
def serialize(self, root: TreeNode) -> str:
"""Encodes a tree to a single string.
"""
def dfs(root):
if root is None:
return
nonlocal t
t.append(str(root.val))
t.append(',')
dfs(root.left)
dfs(root.right)
if root is None:
return ''
t = []
dfs(root)
return ''.join(t[:-1])
def deserialize(self, data: str) -> TreeNode:
"""Decodes your encoded data to tree.
"""
def build(s, l, r):
if l > r:
return None
root = TreeNode(int(s[l]))
idx = r + 1
for i in range(l + 1, r + 1):
if int(s[i]) > root.val:
idx = i
break
root.left = build(s, l + 1, idx - 1)
root.right = build(s, idx, r)
return root
if not data:
return None
s = data.split(',')
return build(s, 0, len(s) - 1)
# Your Codec object will be instantiated and called as such:
# Your Codec object will be instantiated and called as such:
# ser = Codec()
# deser = Codec()
# tree = ser.serialize(root)
# ans = deser.deserialize(tree)
# return ans
/**
* Definition for a binary tree node.
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
public class Codec {
// Encodes a tree to a single string.
public String serialize(TreeNode root) {
if (root == null) {
return "";
}
StringBuilder sb = new StringBuilder();
dfs(root, sb);
return sb.substring(0, sb.length() - 1);
}
private void dfs(TreeNode root, StringBuilder sb) {
if (root == null) {
return;
}
sb.append(root.val).append(",");
dfs(root.left, sb);
dfs(root.right, sb);
}
// Decodes your encoded data to tree.
public TreeNode deserialize(String data) {
if (data == null || "".equals(data)) {
return null;
}
String[] s = data.split(",");
return build(s, 0, s.length - 1);
}
private TreeNode build(String[] s, int l, int r) {
if (l > r) {
return null;
}
int idx = r + 1;
TreeNode root = new TreeNode(Integer.valueOf(s[l]));
for (int i = l + 1; i <= r; ++i) {
if (Integer.valueOf(s[i]) > root.val) {
idx = i;
break;
}
}
root.left = build(s, l + 1, idx - 1);
root.right = build(s, idx, r);
return root;
}
}
// Your Codec object will be instantiated and called as such:
// Codec ser = new Codec();
// Codec deser = new Codec();
// String tree = ser.serialize(root);
// TreeNode ans = deser.deserialize(tree);
// return ans;