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1038. Binary Search Tree to Greater Sum Tree

Description

Given the root of a Binary Search Tree (BST), convert it to a Greater Tree such that every key of the original BST is changed to the original key plus the sum of all keys greater than the original key in BST.

As a reminder, a binary search tree is a tree that satisfies these constraints:

  • The left subtree of a node contains only nodes with keys less than the node's key.
  • The right subtree of a node contains only nodes with keys greater than the node's key.
  • Both the left and right subtrees must also be binary search trees.

 

Example 1:

Input: root = [4,1,6,0,2,5,7,null,null,null,3,null,null,null,8]
Output: [30,36,21,36,35,26,15,null,null,null,33,null,null,null,8]

Example 2:

Input: root = [0,null,1]
Output: [1,null,1]

 

Constraints:

  • The number of nodes in the tree is in the range [1, 100].
  • 0 <= Node.val <= 100
  • All the values in the tree are unique.

 

Note: This question is the same as 538: https://leetcode.com/problems/convert-bst-to-greater-tree/

Solutions

Solution 1

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# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, val=0, left=None, right=None):
#         self.val = val
#         self.left = left
#         self.right = right
class Solution:
    def bstToGst(self, root: TreeNode) -> TreeNode:
        def dfs(root):
            nonlocal s
            if root is None:
                return
            dfs(root.right)
            s += root.val
            root.val = s
            dfs(root.left)

        s = 0
        dfs(root)
        return root

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/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
class Solution {
    private int s;

    public TreeNode bstToGst(TreeNode root) {
        dfs(root);
        return root;
    }

    private void dfs(TreeNode root) {
        if (root == null) {
            return;
        }
        dfs(root.right);
        s += root.val;
        root.val = s;
        dfs(root.left);
    }
}

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/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
public:
    int s = 0;

    TreeNode* bstToGst(TreeNode* root) {
        dfs(root);
        return root;
    }

    void dfs(TreeNode* root) {
        if (!root) return;
        dfs(root->right);
        s += root->val;
        root->val = s;
        dfs(root->left);
    }
};

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/**
 * Definition for a binary tree node.
 * type TreeNode struct {
 *     Val int
 *     Left *TreeNode
 *     Right *TreeNode
 * }
 */
func bstToGst(root *TreeNode) *TreeNode {
    s := 0
    var dfs func(*TreeNode)
    dfs = func(root *TreeNode) {
        if root == nil {
            return
        }
        dfs(root.Right)
        s += root.Val
        root.Val = s
        dfs(root.Left)
    }
    dfs(root)
    return root
}

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/**
 * Definition for a binary tree node.
 * class TreeNode {
 *     val: number
 *     left: TreeNode | null
 *     right: TreeNode | null
 *     constructor(val?: number, left?: TreeNode | null, right?: TreeNode | null) {
 *         this.val = (val===undefined ? 0 : val)
 *         this.left = (left===undefined ? null : left)
 *         this.right = (right===undefined ? null : right)
 *     }
 * }
 */

function bstToGst(root: TreeNode | null): TreeNode | null {
    const dfs = (root: TreeNode | null, sum: number) => {
        if (root == null) {
            return sum;
        }
        const { val, left, right } = root;
        sum = dfs(right, sum) + val;
        root.val = sum;
        sum = dfs(left, sum);
        return sum;
    };
    dfs(root, 0);
    return root;
}

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// Definition for a binary tree node.
// #[derive(Debug, PartialEq, Eq)]
// pub struct TreeNode {
//   pub val: i32,
//   pub left: Option<Rc<RefCell<TreeNode>>>,
//   pub right: Option<Rc<RefCell<TreeNode>>>,
// }
//
// impl TreeNode {
//   #[inline]
//   pub fn new(val: i32) -> Self {
//     TreeNode {
//       val,
//       left: None,
//       right: None
//     }
//   }
// }
use std::cell::RefCell;
use std::rc::Rc;
impl Solution {
    fn dfs(root: &mut Option<Rc<RefCell<TreeNode>>>, mut sum: i32) -> i32 {
        if let Some(node) = root {
            let mut node = node.as_ref().borrow_mut();
            sum = Self::dfs(&mut node.right, sum) + node.val;
            node.val = sum;
            sum = Self::dfs(&mut node.left, sum);
        }
        sum
    }

    pub fn bst_to_gst(mut root: Option<Rc<RefCell<TreeNode>>>) -> Option<Rc<RefCell<TreeNode>>> {
        Self::dfs(&mut root, 0);
        root
    }
}

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/**
 * Definition for a binary tree node.
 * function TreeNode(val, left, right) {
 *     this.val = (val===undefined ? 0 : val)
 *     this.left = (left===undefined ? null : left)
 *     this.right = (right===undefined ? null : right)
 * }
 */
/**
 * @param {TreeNode} root
 * @return {TreeNode}
 */
var bstToGst = function (root) {
    let s = 0;
    function dfs(root) {
        if (!root) {
            return;
        }
        dfs(root.right);
        s += root.val;
        root.val = s;
        dfs(root.left);
    }
    dfs(root);
    return root;
};

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/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     struct TreeNode *left;
 *     struct TreeNode *right;
 * };
 */

int dfs(struct TreeNode* root, int sum) {
    if (root) {
        sum = dfs(root->right, sum) + root->val;
        root->val = sum;
        sum = dfs(root->left, sum);
    }
    return sum;
}

struct TreeNode* bstToGst(struct TreeNode* root) {
    dfs(root, 0);
    return root;
}

Solution 2

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# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, val=0, left=None, right=None):
#         self.val = val
#         self.left = left
#         self.right = right
class Solution:
    def bstToGst(self, root: TreeNode) -> TreeNode:
        s = 0
        node = root
        while root:
            if root.right is None:
                s += root.val
                root.val = s
                root = root.left
            else:
                next = root.right
                while next.left and next.left != root:
                    next = next.left
                if next.left is None:
                    next.left = root
                    root = root.right
                else:
                    s += root.val
                    root.val = s
                    next.left = None
                    root = root.left
        return node

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/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
class Solution {
    public TreeNode bstToGst(TreeNode root) {
        int s = 0;
        TreeNode node = root;
        while (root != null) {
            if (root.right == null) {
                s += root.val;
                root.val = s;
                root = root.left;
            } else {
                TreeNode next = root.right;
                while (next.left != null && next.left != root) {
                    next = next.left;
                }
                if (next.left == null) {
                    next.left = root;
                    root = root.right;
                } else {
                    s += root.val;
                    root.val = s;
                    next.left = null;
                    root = root.left;
                }
            }
        }
        return node;
    }
}

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/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
public:
    TreeNode* bstToGst(TreeNode* root) {
        int s = 0;
        TreeNode* node = root;
        while (root) {
            if (root->right == nullptr) {
                s += root->val;
                root->val = s;
                root = root->left;
            } else {
                TreeNode* next = root->right;
                while (next->left && next->left != root) {
                    next = next->left;
                }
                if (next->left == nullptr) {
                    next->left = root;
                    root = root->right;
                } else {
                    s += root->val;
                    root->val = s;
                    next->left = nullptr;
                    root = root->left;
                }
            }
        }
        return node;
    }
};

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/**
 * Definition for a binary tree node.
 * type TreeNode struct {
 *     Val int
 *     Left *TreeNode
 *     Right *TreeNode
 * }
 */
func bstToGst(root *TreeNode) *TreeNode {
    s := 0
    node := root
    for root != nil {
        if root.Right == nil {
            s += root.Val
            root.Val = s
            root = root.Left
        } else {
            next := root.Right
            for next.Left != nil && next.Left != root {
                next = next.Left
            }
            if next.Left == nil {
                next.Left = root
                root = root.Right
            } else {
                s += root.Val
                root.Val = s
                next.Left = nil
                root = root.Left
            }
        }
    }
    return node
}

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/**
 * Definition for a binary tree node.
 * class TreeNode {
 *     val: number
 *     left: TreeNode | null
 *     right: TreeNode | null
 *     constructor(val?: number, left?: TreeNode | null, right?: TreeNode | null) {
 *         this.val = (val===undefined ? 0 : val)
 *         this.left = (left===undefined ? null : left)
 *         this.right = (right===undefined ? null : right)
 *     }
 * }
 */

function bstToGst(root: TreeNode | null): TreeNode | null {
    let cur = root;
    let sum = 0;
    while (cur != null) {
        const { val, left, right } = cur;
        if (right == null) {
            sum += val;
            cur.val = sum;
            cur = left;
        } else {
            let next = right;
            while (next.left != null && next.left != cur) {
                next = next.left;
            }
            if (next.left == null) {
                next.left = cur;
                cur = right;
            } else {
                next.left = null;
                sum += val;
                cur.val = sum;
                cur = left;
            }
        }
    }
    return root;
}

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/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     struct TreeNode *left;
 *     struct TreeNode *right;
 * };
 */

struct TreeNode* bstToGst(struct TreeNode* root) {
    struct TreeNode* cur = root;
    int sum = 0;
    while (cur) {
        if (!cur->right) {
            sum += cur->val;
            cur->val = sum;
            cur = cur->left;
        } else {
            struct TreeNode* next = cur->right;
            while (next->left && next->left != cur) {
                next = next->left;
            }
            if (!next->left) {
                next->left = cur;
                cur = cur->right;
            } else {
                next->left = NULL;
                sum += cur->val;
                cur->val = sum;
                cur = cur->left;
            }
        }
    }
    return root;
}

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