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| 1 | +/*: |
| 2 | +# 450. Delete Node in a BST [Medium] |
| 3 | + https://leetcode.com/problems/delete-node-in-a-bst/ |
| 4 | + |
| 5 | + --- |
| 6 | + |
| 7 | +### Problem Statement: |
| 8 | + |
| 9 | + Given a root node reference of a BST and a key, delete the node with the given key in the BST. Return the root node reference (possibly updated) of the BST. |
| 10 | + |
| 11 | + Basically, the deletion can be divided into two stages: |
| 12 | + |
| 13 | + + Search for a node to remove. |
| 14 | + + If the node is found, delete the node. |
| 15 | + |
| 16 | +### Example: |
| 17 | + |
| 18 | + ``` |
| 19 | + root = [5,3,6,2,4,null,7] |
| 20 | + key = 3 |
| 21 | + |
| 22 | + 5 |
| 23 | + / \ |
| 24 | + 3 6 |
| 25 | + / \ \ |
| 26 | + 2 4 7 |
| 27 | + |
| 28 | + Given key to delete is 3. So we find the node with value 3 and delete it. |
| 29 | + |
| 30 | + One valid answer is [5,4,6,2,null,null,7], shown in the following BST. |
| 31 | + |
| 32 | + 5 |
| 33 | + / \ |
| 34 | + 4 6 |
| 35 | + / \ |
| 36 | + 2 7 |
| 37 | + |
| 38 | + Another valid answer is [5,2,6,null,4,null,7]. |
| 39 | + |
| 40 | + 5 |
| 41 | + / \ |
| 42 | + 2 6 |
| 43 | + \ \ |
| 44 | + 4 7 |
| 45 | + |
| 46 | + ``` |
| 47 | + |
| 48 | + ### Notes: |
| 49 | + + Time complexity should be O(height of tree). |
| 50 | + |
| 51 | + */ |
| 52 | + |
| 53 | + |
| 54 | +import UIKit |
| 55 | + |
| 56 | +// Definition for a binary tree node. |
| 57 | + public class TreeNode { |
| 58 | + public var val: Int |
| 59 | + public var left: TreeNode? |
| 60 | + public var right: TreeNode? |
| 61 | + public init() { self.val = 0; self.left = nil; self.right = nil; } |
| 62 | + public init(_ val: Int) { self.val = val; self.left = nil; self.right = nil; } |
| 63 | + public init(_ val: Int, _ left: TreeNode?, _ right: TreeNode?) { |
| 64 | + self.val = val |
| 65 | + self.left = left |
| 66 | + self.right = right |
| 67 | + } |
| 68 | + } |
| 69 | + |
| 70 | +// 85 / 85 test cases passed. |
| 71 | +// Status: Accepted |
| 72 | +// Runtime: 80 ms |
| 73 | +// Memory Usage: 22.4 MB |
| 74 | + |
| 75 | +class Solution { |
| 76 | + func deleteNode(_ root: TreeNode?, _ key: Int) -> TreeNode? { |
| 77 | + |
| 78 | + guard let root = root else { |
| 79 | + return nil |
| 80 | + } |
| 81 | + |
| 82 | + if root.val > key { |
| 83 | + root.left = deleteNode(root.left, key) |
| 84 | + } else if root.val < key { |
| 85 | + root.right = deleteNode(root.right, key) |
| 86 | + } else { |
| 87 | + if root.left == nil { |
| 88 | + return root.right |
| 89 | + } else if root.right == nil { |
| 90 | + return root.left |
| 91 | + } else { |
| 92 | + let minNode = findMin(root.right!) |
| 93 | + root.val = minNode.val |
| 94 | + root.right = deleteNode(root.right, root.val) |
| 95 | + } |
| 96 | + } |
| 97 | + |
| 98 | + return root |
| 99 | + } |
| 100 | + |
| 101 | + func findMin(_ root: TreeNode) -> TreeNode { |
| 102 | + var root = root |
| 103 | + |
| 104 | + while let leftNode = root.left { |
| 105 | + root = leftNode |
| 106 | + } |
| 107 | + |
| 108 | + return root |
| 109 | + } |
| 110 | +} |
| 111 | + |
| 112 | +let node = TreeNode(5) |
| 113 | +node.left = TreeNode(3) |
| 114 | +node.right = TreeNode(6) |
| 115 | +node.left?.left = TreeNode(2) |
| 116 | +node.left?.right = TreeNode(4) |
| 117 | +node.right?.right = TreeNode(7) |
| 118 | + |
| 119 | + |
| 120 | +let sol = Solution() |
| 121 | +sol.deleteNode(node, 3) |
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