Algorithm


Problem Name: 606. Construct String from Binary Tree

Given the root of a binary tree, construct a string consisting of parenthesis and integers from a binary tree with the preorder traversal way, and return it.

Omit all the empty parenthesis pairs that do not affect the one-to-one mapping relationship between the string and the original binary tree.

 

Example 1:

Input: root = [1,2,3,4]
Output: "1(2(4))(3)"
Explanation: Originally, it needs to be "1(2(4)())(3()())", but you need to omit all the unnecessary empty parenthesis pairs. And it will be "1(2(4))(3)"

Example 2:

Input: root = [1,2,3,null,4]
Output: "1(2()(4))(3)"
Explanation: Almost the same as the first example, except we cannot omit the first parenthesis pair to break the one-to-one mapping relationship between the input and the output.

 

Constraints:

  • The number of nodes in the tree is in the range [1, 104].
  • -1000 <= Node.val <= 1000

 

Code Examples

#1 Code Example with C++ Programming

Code - C++ Programming


class Solution {
public:
    string tree2str(TreeNode* t) {
        if(!t) return "";
        string l = tree2str(t->left);
        string r = tree2str(t->right);
        if(!t->left && !t->right) return to_string(t->val);
        if(!t->right) return to_string(t->val) + "(" + l + ")";
        return to_string(t->val) + "(" + l + ")" + "(" + r + ")";
    }
};
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Input

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root = [1,2,3,4]

Output

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"1(2(4))(3)"

#2 Code Example with Java Programming

Code - Java Programming


class Solution {
  public String tree2str(TreeNode root) {
    StringBuilder sb = new StringBuilder();
    helper(root, sb);
    return sb.toString();
  }
  
  private void helper(TreeNode root, StringBuilder sb) {
    if (root == null) {
      return;
    }
    sb.append(root.val);
    if (root.left == null && root.right == null) {
      return;
    }
    sb.append("(");
    helper(root.left, sb);
    sb.append(")");
    if (root.right != null) {
      sb.append("(");
      helper(root.right, sb);
      sb.append(")");
    }
  }
}
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Input

x
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root = [1,2,3,4]

Output

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"1(2(4))(3)"

#3 Code Example with Javascript Programming

Code - Javascript Programming


const tree2str = function(t) {
  if (!t) return ''
  const left = tree2str(t.left)
  const right = tree2str(t.right)
  if (right) return `${t.val}(${left})(${right})`
  else if (left) return `${t.val}(${left})`
  else return `${t.val}`
};
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Input

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root = [1,2,3,null,4]

Output

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"1(2()(4))(3)"

#4 Code Example with Python Programming

Code - Python Programming


class Solution:        
    def tree2str(self, t):
        """
        :type t: TreeNode
        :rtype: str
        """
        if not t: return ""
        parent="%s" %t.val
        left, right= "", ""
        if t.left or t.right: left= "(%s)" % self.tree2str(t.left)
        if t.right: right= "(%s)" % self.tree2str(t.right)
        return parent+left+right       
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Input

x
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root = [1,2,3,null,4]

Output

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"1(2()(4))(3)"

#5 Code Example with C# Programming

Code - C# Programming


namespace LeetCode
{
    public class _0606_ConstructStringFromBinaryTree
    {
        public string Tree2str(TreeNode t)
        {
            if (t == null) return string.Empty;
            if (t.left == null && t.right == null) return $"{t.val}";
            if (t.right == null) return $"{t.val}({Tree2str(t.left)})";
            return $"{t.val}({Tree2str(t.left)})({Tree2str(t.right)})";
        }
    }
}
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Input

x
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root = [1,2,3,4]

Output

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"1(2(4))(3)"
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