add: 不同的二叉搜索树

.github/workflows/nodejs.yml

@@ -11,12 +11,11 @@ on:
 
 jobs:
   build:
-
     runs-on: ubuntu-latest
 
     strategy:
       matrix:
-        node-version: [10.x, 12.x]
+        node-version: [12.x, 14.x]
 
     steps:
       - uses: actions/checkout@v2

.vscode/settings.json

@@ -36,5 +36,16 @@
     "zhan",
     "zhong",
     "zhuan"
-  ]
+  ],
+  "standard.options": {
+    "globals": [
+      "$",
+      "jQuery",
+      "fetch"
+    ],
+    "usePackageJson": true,
+    "env": {
+      "jest": true
+    }
+  }
 }

README.md

@@ -376,6 +376,16 @@ LeetCode 与 LintCode 解题记录。此为个人练习仓库，代码中对重
   - LeetCode 739. 每日温度 <https://leetcode-cn.com/problems/daily-temperatures/>
   - LintCode 1060. 每日温度 <https://www.lintcode.com/problem/daily-temperatures/description>
 
+- [最长重复子数组](src/array/maximum-length-of-repeated-subarray.js)
+
+  - LeetCode 718. 最长重复子数组 <https://leetcode-cn.com/problems/maximum-length-of-repeated-subarray/>
+  - LintCode 79. 最长公共子串 <https://www.lintcode.com/problem/longest-common-substring/description>
+
+- [有序矩阵中第 K 小的元素](src/array/kth-smallest-element-in-a-sorted-matrix.js)
+
+  - LeetCode 378. 有序矩阵中第 K 小的元素 <https://leetcode-cn.com/problems/kth-smallest-element-in-a-sorted-matrix/>
+  - LintCode 401. 排序矩阵中的从小到大第 k 个数 <https://www.lintcode.com/problem/kth-smallest-number-in-sorted-matrix/description>
+
 ## 栈
 
 - [最大矩阵](src/stack/maximal-rectangle.js)
@@ -501,6 +511,15 @@ LeetCode 与 LintCode 解题记录。此为个人练习仓库，代码中对重
   - LeetCode 105. 从前序与中序遍历序列构造二叉树 <https://leetcode-cn.com/problems/construct-binary-tree-from-preorder-and-inorder-traversal/>
   - LintCode 73. 前序遍历和中序遍历树构造二叉树 <https://www.lintcode.com/problem/construct-binary-tree-from-preorder-and-inorder-traversal/description>
 
+- [将有序数组转换为二叉搜索树](src/tree/convert-sorted-array-to-binary-search-tree.js)
+
+  - LeetCode 108. 将有序数组转换为二叉搜索树 <https://leetcode-cn.com/problems/convert-sorted-array-to-binary-search-tree/>
+  - LintCode 106. 有序链表转换为二叉搜索树 <https://www.lintcode.com/problem/convert-sorted-list-to-binary-search-tree/description>
+
+- [不同的二叉搜索树](src/tree/unique-binary-search-trees.js)
+
+  - LeetCode 96. 不同的二叉搜索树 <https://leetcode-cn.com/problems/unique-binary-search-trees/>
+
 ## 链表
 
 - [合并 K 个排序链表](src/list/merge-k-sorted-lists.js)

src/array/kth-smallest-element-in-a-sorted-matrix.js

@@ -0,0 +1,8 @@
+/**
+ * @param {number[][]} matrix
+ * @param {number} k
+ * @return {number}
+ */
+export const kthSmallest = function (matrix, k) {
+  return matrix.flat().sort((a, b) => a - b)[k - 1]
+}

src/array/maximum-length-of-repeated-subarray.js

@@ -0,0 +1,38 @@
+// 输入:
+// A: [1, 2, 3, 2, 1]
+// B: [3, 2, 1, 4, 7]
+
+const maxLength = function (A, B, addA, addB, len) {
+  addA = (addA > 0) ? addA : 0
+  addB = (addB > 0) ? addB : 0
+  let result = 0
+  let k = 0
+  for (let i = 0; i < len && (k + len - i > result); i++) {
+    if (A[i + addA] === B[i + addB]) {
+      k++
+    } else {
+      k = 0
+    }
+    result = Math.max(result, k)
+  }
+  return result
+}
+
+/**
+ * @param {number[]} A
+ * @param {number[]} B
+ * @return {number}
+ */
+export const findLength = function (A, B) {
+  const ALen = A.length
+  const BLen = B.length
+  let result = 0
+  for (let i = 1; i < ALen + BLen; i++) {
+    if (result >= (ALen + BLen - i)) {
+      return result
+    }
+    const len = Math.min(i, ALen, BLen, (ALen + BLen - i))
+    result = Math.max(maxLength(A, B, ALen - i, i - ALen, len), result)
+  }
+  return result
+}

src/tree/convert-sorted-array-to-binary-search-tree.js

@@ -0,0 +1,20 @@
+import TreeNode from '../../test/tree/TreeNode'
+
+/**
+ * @param {number[]} nums
+ * @return {TreeNode}
+ */
+export const sortedArrayToBST = function (nums) {
+  if (!nums.length) return null
+
+  const creatTree = (left, right) => {
+    if (left > right) return null
+    const mid = Math.floor((left + right) / 2)
+    const root = new TreeNode(nums[mid])
+    root.left = creatTree(left, mid - 1)
+    root.right = creatTree(mid + 1, right)
+    return root
+  }
+
+  return creatTree(0, nums.length - 1)
+}

src/tree/unique-binary-search-trees.js

@@ -0,0 +1,12 @@
+// 卡塔兰数
+/**
+ * @param {number} n
+ * @return {number}
+ */
+export const numTrees = function (n) {
+  let C = 1
+  for (let i = 0; i < n; ++i) {
+    C = C * 2 * (2 * i + 1) / (i + 2)
+  }
+  return C
+}

test/array/kth-smallest-element-in-a-sorted-matrix.test.js

@@ -0,0 +1,20 @@
+import { kthSmallest } from '../../src/array/kth-smallest-element-in-a-sorted-matrix.js'
+
+test('有序矩阵中第K小的元素', () => {
+  expect(kthSmallest([
+    [1, 5, 9],
+    [10, 11, 13],
+    [12, 13, 15]
+  ], 8)).toBe(13)
+
+  expect(kthSmallest([
+    [1, 5, 7],
+    [3, 7, 8],
+    [4, 8, 9]
+  ], 4)).toBe(5)
+
+  expect(kthSmallest([
+    [1, 2],
+    [3, 4]
+  ], 3)).toBe(3)
+})

test/array/maximum-length-of-repeated-subarray.test.js

@@ -0,0 +1,5 @@
+import { findLength } from '../../src/array/maximum-length-of-repeated-subarray.js'
+
+test('最长重复子数组', () => {
+  expect(findLength([1, 2, 3, 2, 1], [3, 2, 1, 4, 7])).toBe(3)
+})

test/tree/convert-sorted-array-to-binary-search-tree.test.js

@@ -0,0 +1,5 @@
+import { sortedArrayToBST } from '../../src/tree/convert-sorted-array-to-binary-search-tree.js'
+
+test('将有序数组转换为二叉搜索树', () => {
+  expect(sortedArrayToBST([-10, -3, 0, 5, 9])).toEqual({ left: { left: null, right: { left: null, right: null, val: -3 }, val: -10 }, right: { left: null, right: { left: null, right: null, val: 9 }, val: 5 }, val: 0 })
+})

test/tree/unique-binary-search-trees.test.js

@@ -0,0 +1,5 @@
+import { numTrees } from '../../src/tree/unique-binary-search-trees'
+
+test('不同的二叉搜索树', () => {
+  expect(numTrees(3)).toBe(5)
+})