Serialization is the process of 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 tree. There is no restriction on how your serialization/deserialization algorithm should work. You just need to ensure that a binary tree can be serialized to a string and this string can be deserialized to the original tree structure


Test Cases

Example 1:

Input: root = [1,2,3,null,null,4,5]
Output: [1,2,3,null,null,4,5]
Explanation:
    1
   / \
  2   3
     / \
    4   5

Example 2:

Input: root = []
Output: []

Solution

/**
 * 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) {
        StringBuilder sb=new StringBuilder();
        dfs(root,sb);
        return sb.toString();
    }

    private void dfs(TreeNode x, StringBuilder sb) {
        if (x==null) {
            sb.append("null ");
            return;
        }
        sb.append(String.valueOf(x.val));
        sb.append(' ');
        dfs(x.left,sb);
        dfs(x.right,sb);
    }

    // Decodes your encoded data to tree.
    public TreeNode deserialize(String data) {
        String[] node=data.split(" ");
        int[] d=new int[1];
        return dfs(node,d);
    }
    private TreeNode dfs(String[] node, int[] d) {
        if (node[d[0]].equals("null")) {
            d[0]++;
            return null;
        }
        TreeNode x=new TreeNode(Integer.valueOf(node[d[0]]));
        d[0]++;
        x.left=dfs(node,d);
        x.right=dfs(node,d);
        return x;
    }
}

// Your Codec object will be instantiated and called as such:
// Codec ser = new Codec();
// Codec deser = new Codec();
// TreeNode ans = deser.deserialize(ser.serialize(root));
# Definition for a binary tree node.
class TreeNode(object):
    def __init__(self, x):
        self.val = x
        self.left = None
        self.right = None


class Codec:

    def serialize(self, root):
        """Encodes a tree to a single string.

        :type root: TreeNode
        :rtype: str
        """
        s = []
        self._serial(root, s)
        return ' '.join(s)

    def _serial(self, root, s):
        if not root:
            s.append("null")
            return
        s.append(str(root.val))
        self._serial(root.left, s)
        self._serial(root.right, s)

    def deserialize(self, data):
        """Decodes your encoded data to tree.

        :type data: str
        :rtype: TreeNode
        """
        pos = [0]
        arr = data.split(' ')
        return self._deserial(arr, pos)

    def _deserial(self, arr, pos):
        if arr[pos[0]] == "null":
            pos[0] += 1
            return None
        node = TreeNode(arr[pos[0]])
        pos[0] += 1
        node.left = self._deserial(arr, pos)
        node.right = self._deserial(arr, pos)
        return node

# Your Codec object will be instantiated and called as such:
# ser = Codec()
# deser = Codec()
# ans = deser.deserialize(ser.serialize(root))
Time Complexity: O(h)
Space Complexity: O(n)