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::rc::Rc;
use std::cell::RefCell;
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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