From 01b95bc0f9e34ae6f41c95f380a3ab3ab8d42d7a Mon Sep 17 00:00:00 2001 From: steak-zhuo Date: Thu, 29 Dec 2022 03:20:37 +0800 Subject: [PATCH 01/86] =?UTF-8?q?=E8=A1=A5=E5=85=85js=E5=92=8Cts=E5=AF=B9?= =?UTF-8?q?=E5=BA=94=E7=9A=84=E5=93=88=E5=B8=8C=E6=9F=A5=E6=89=BE?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../chapter_searching/hashing_search.js | 51 +++++++++++++++++++ .../chapter_searching/hashing_search.ts | 47 +++++++++++++++++ 2 files changed, 98 insertions(+) create mode 100644 codes/javascript/chapter_searching/hashing_search.js create mode 100644 codes/typescript/chapter_searching/hashing_search.ts diff --git a/codes/javascript/chapter_searching/hashing_search.js b/codes/javascript/chapter_searching/hashing_search.js new file mode 100644 index 000000000..c1e39766e --- /dev/null +++ b/codes/javascript/chapter_searching/hashing_search.js @@ -0,0 +1,51 @@ +/* + * File: hashing_search.js + * Created Time: 2022-12-29 + * Author: zhuoqinyue (1403450829@qq.com) + */ + +const PrintUtil = require("../include/PrintUtil"); +const ListNode = require("../include/ListNode"); + + +/* 哈希查找(数组) */ +function hashingSearch(map, target) { + // 哈希表的 key: 目标元素,value: 索引 + // 若哈希表中无此 key ,返回 -1 + return map.has(target) ? map.get(target) : -1; +} + +/* 哈希查找(链表) */ +function hashingSearch1(map, target) { + // 哈希表的 key: 目标结点值,value: 结点对象 + // 若哈希表中无此 key ,返回 null + return map.has(target) ? map.get(target) : null; +} + +function main() { + const target = 3; + + /* 哈希查找(数组) */ + const nums = [1, 5, 3, 2, 4, 7, 5, 9, 10, 8]; + // 初始化哈希表 + const map = new Map(); + for (let i = 0; i < nums.length; i++) { + map.set(nums[i], i); // key: 元素,value: 索引 + } + const index = hashingSearch(map, target); + console.log("目标元素 3 的索引 = " + index); + + /* 哈希查找(链表) */ + let head = new ListNode().arrToLinkedList(nums) + // 初始化哈希表 + const map1 = new Map(); + while (head != null) { + map1.set(head.val, head); // key: 结点值,value: 结点 + head = head.next; + } + const node = hashingSearch1(map1, target); + console.log("目标结点值 3 的对应结点对象为" ); + PrintUtil.printLinkedList(node); +} + +main(); diff --git a/codes/typescript/chapter_searching/hashing_search.ts b/codes/typescript/chapter_searching/hashing_search.ts new file mode 100644 index 000000000..0d89ee9cd --- /dev/null +++ b/codes/typescript/chapter_searching/hashing_search.ts @@ -0,0 +1,47 @@ +/* + * File: hashing_search.js + * Created Time: 2022-12-29 + * Author: zhuoqinyue (1403450829@qq.com) + */ + +/* 哈希查找(数组) */ +function hashingSearch(map: Map, target: number) { + // 哈希表的 key: 目标元素,value: 索引 + // 若哈希表中无此 key ,返回 -1 + return map.has(target) ? map.get(target) : -1; +} + +/* 哈希查找(链表) */ +function hashingSearch1(map: Map, target: number) { + // 哈希表的 key: 目标结点值,value: 结点对象 + // 若哈希表中无此 key ,返回 null + return map.has(target) ? map.get(target) : null; +} + +function main() { + const target = 3; + + /* 哈希查找(数组) */ + const nums = [1, 5, 3, 2, 4, 7, 5, 9, 10, 8]; + // 初始化哈希表 + const map = new Map(); + for (let i = 0; i < nums.length; i++) { + map.set(nums[i], i); // key: 元素,value: 索引 + } + const index = hashingSearch(map, target); + console.log("目标元素 3 的索引 = " + index); + +// /* 哈希查找(链表) */ +// let head = new ListNode().arrToLinkedList(nums) +// // 初始化哈希表 +// const map1 = new Map(); +// while (head != null) { +// map1.set(head.val, head); // key: 结点值,value: 结点 +// head = head.next; +// } +// const node = hashingSearch1(map1, target); +// console.log("目标结点值 3 的对应结点对象为" ); +// printLinkedList(node); +} + +main(); From e1d561bc088b9f4623f06f3ba49420cc815ef56b Mon Sep 17 00:00:00 2001 From: danielsss Date: Sat, 7 Jan 2023 16:38:13 +1100 Subject: [PATCH 02/86] added: linear search for Typescript --- .../chapter_searching/linear_search.ts | 47 +++++++++++++++++++ codes/typescript/module/ListNode.ts | 15 ++++++ 2 files changed, 62 insertions(+) create mode 100644 codes/typescript/chapter_searching/linear_search.ts diff --git a/codes/typescript/chapter_searching/linear_search.ts b/codes/typescript/chapter_searching/linear_search.ts new file mode 100644 index 000000000..05620f913 --- /dev/null +++ b/codes/typescript/chapter_searching/linear_search.ts @@ -0,0 +1,47 @@ +/** + * File: linear_search.ts + * Created Time: 2023-01-07 + * Author: Daniel (better.sunjian@gmail.com) + */ + +import ListNode from '../module/ListNode.ts'; + +/* 线性查找(数组) */ +function linearSearchArray(nums: number[], target: number): number { + // 遍历数组 + for (let i = 0; i < nums.length; i++) { + // 找到目标元素,返回其索引 + if (nums[i] === target) { + return i; + } + } + // 未找到目标元素,返回 -1 + return -1; +} + +/* 线性查找(链表)*/ +function linearSearchLinkedList(head: ListNode | null, target: number): ListNode | null { + // 遍历链表 + while (head) { + // 找到目标结点,返回之 + if (head.val === target) { + return head; + } + head = head.next; + } + // 未找到目标结点,返回 null + return null; +} + +/* Driver Code */ +const target = 3; + +/* 在数组中执行线性查找 */ +const nums = [ 1, 5, 3, 2, 4, 7, 5, 9, 10, 8 ]; +const index = linearSearchArray(nums, target); +console.log('目标元素 3 的索引 =', index); + +/* 在链表中执行线性查找 */ +const head = ListNode.arrToLinkedList(nums); +const node = linearSearchLinkedList(head, target); +console.log('目标结点值 3 的对应结点对象为', node); diff --git a/codes/typescript/module/ListNode.ts b/codes/typescript/module/ListNode.ts index 17fdbb955..84f1822f8 100644 --- a/codes/typescript/module/ListNode.ts +++ b/codes/typescript/module/ListNode.ts @@ -14,4 +14,19 @@ export default class ListNode { this.val = val === undefined ? 0 : val; this.next = next === undefined ? null : next; } + + /** + * Generate a linked-list with an array + * @param arr + * @return ListNode + */ + public static arrToLinkedList(arr: number[]): ListNode | null { + const dum = new ListNode(0); + let head = dum; + for (const val of arr) { + head.next = new ListNode(val); + head = head.next; + } + return dum.next; + } } From 2b0d7d1c1b1a9d1eda3efd6300782d4179ab27a7 Mon Sep 17 00:00:00 2001 From: danielsss Date: Sat, 7 Jan 2023 16:41:46 +1100 Subject: [PATCH 03/86] Added linear search docs for Typescript --- .../chapter_searching/linear_search.ts | 2 +- docs/chapter_searching/linear_search.md | 27 +++++++++++++++++-- 2 files changed, 26 insertions(+), 3 deletions(-) diff --git a/codes/typescript/chapter_searching/linear_search.ts b/codes/typescript/chapter_searching/linear_search.ts index 05620f913..f0de33f78 100644 --- a/codes/typescript/chapter_searching/linear_search.ts +++ b/codes/typescript/chapter_searching/linear_search.ts @@ -6,7 +6,7 @@ import ListNode from '../module/ListNode.ts'; -/* 线性查找(数组) */ +/* 线性查找(数组)*/ function linearSearchArray(nums: number[], target: number): number { // 遍历数组 for (let i = 0; i < nums.length; i++) { diff --git a/docs/chapter_searching/linear_search.md b/docs/chapter_searching/linear_search.md index 3d592962e..777d2d53b 100644 --- a/docs/chapter_searching/linear_search.md +++ b/docs/chapter_searching/linear_search.md @@ -94,7 +94,18 @@ comments: true === "TypeScript" ```typescript title="linear_search.ts" - + /* 线性查找(数组)*/ + function linearSearchArray(nums: number[], target: number): number { + // 遍历数组 + for (let i = 0; i < nums.length; i++) { + // 找到目标元素,返回其索引 + if (nums[i] === target) { + return i; + } + } + // 未找到目标元素,返回 -1 + return -1; + } ``` === "C" @@ -210,7 +221,19 @@ comments: true === "TypeScript" ```typescript title="linear_search.ts" - + /* 线性查找(链表)*/ + function linearSearchLinkedList(head: ListNode | null, target: number): ListNode | null { + // 遍历链表 + while (head) { + // 找到目标结点,返回之 + if (head.val === target) { + return head; + } + head = head.next; + } + // 未找到目标结点,返回 null + return null; + } ``` === "C" From 1c3b4aea8bff7a0fcfe06e2ec56d8ce361b6a3a5 Mon Sep 17 00:00:00 2001 From: danielsss Date: Sat, 7 Jan 2023 16:46:18 +1100 Subject: [PATCH 04/86] Added .editorconfig for default code format --- .editorconfig | 14 ++++++++++++++ 1 file changed, 14 insertions(+) create mode 100644 .editorconfig diff --git a/.editorconfig b/.editorconfig new file mode 100644 index 000000000..3ccd9ac0c --- /dev/null +++ b/.editorconfig @@ -0,0 +1,14 @@ +# EditorConfig is awesome: https://EditorConfig.org + +# top-most EditorConfig file +root = true + +# Unix-style newlines with a newline ending every file +[*] +end_of_line = lf +insert_final_newline = true + +[codes/**.{java,js,ts,go,py,cpp,c,cs,swift,zig}] +charset = utf-8 +indent_style = space +indent_size = 2 From f29f6c460ee5bbd4dc91373730d6f02741eb15a1 Mon Sep 17 00:00:00 2001 From: danielsss Date: Sat, 7 Jan 2023 16:47:45 +1100 Subject: [PATCH 05/86] Added .editorconfig for default code format --- .editorconfig | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.editorconfig b/.editorconfig index 3ccd9ac0c..f57b4f2fb 100644 --- a/.editorconfig +++ b/.editorconfig @@ -11,4 +11,4 @@ insert_final_newline = true [codes/**.{java,js,ts,go,py,cpp,c,cs,swift,zig}] charset = utf-8 indent_style = space -indent_size = 2 +indent_size = 4 From a7a3618ee0ca708d6653d491bc5fff49256dba3c Mon Sep 17 00:00:00 2001 From: steak-zhuo Date: Sun, 8 Jan 2023 12:47:33 +0800 Subject: [PATCH 06/86] translate arrToLinkedList method --- .../chapter_searching/hashing_search.ts | 26 +++++++++++-------- codes/typescript/module/ListNode.ts | 15 +++++++++++ 2 files changed, 30 insertions(+), 11 deletions(-) diff --git a/codes/typescript/chapter_searching/hashing_search.ts b/codes/typescript/chapter_searching/hashing_search.ts index 0d89ee9cd..d0ab8bb5c 100644 --- a/codes/typescript/chapter_searching/hashing_search.ts +++ b/codes/typescript/chapter_searching/hashing_search.ts @@ -4,6 +4,10 @@ * Author: zhuoqinyue (1403450829@qq.com) */ +import { printLinkedList } from "../module/PrintUtil"; +import ListNode from "../module/ListNode"; + + /* 哈希查找(数组) */ function hashingSearch(map: Map, target: number) { // 哈希表的 key: 目标元素,value: 索引 @@ -31,17 +35,17 @@ function main() { const index = hashingSearch(map, target); console.log("目标元素 3 的索引 = " + index); -// /* 哈希查找(链表) */ -// let head = new ListNode().arrToLinkedList(nums) -// // 初始化哈希表 -// const map1 = new Map(); -// while (head != null) { -// map1.set(head.val, head); // key: 结点值,value: 结点 -// head = head.next; -// } -// const node = hashingSearch1(map1, target); -// console.log("目标结点值 3 的对应结点对象为" ); -// printLinkedList(node); + /* 哈希查找(链表) */ + let head = new ListNode().arrToLinkedList(nums) + // 初始化哈希表 + const map1 = new Map(); + while (head != null) { + map1.set(head.val, head); // key: 结点值,value: 结点 + head = head.next; + } + const node = hashingSearch1(map1, target); + console.log("目标结点值 3 的对应结点对象为"); + printLinkedList(node); } main(); diff --git a/codes/typescript/module/ListNode.ts b/codes/typescript/module/ListNode.ts index d6d60616d..a5e303400 100644 --- a/codes/typescript/module/ListNode.ts +++ b/codes/typescript/module/ListNode.ts @@ -14,4 +14,19 @@ export default class ListNode { this.val = val === undefined ? 0 : val; this.next = next === undefined ? null : next; } + + /** + * Generate a linked list with an array + * @param arr + * @return + */ + arrToLinkedList(arr: number[]) { + const dum: ListNode = new ListNode(0); + let head = dum; + for (const val of arr) { + head.next = new ListNode(val); + head = head.next; + } + return dum.next; + } } From 01a6fcef208d4d1ff5fb88259cccb61410c98a89 Mon Sep 17 00:00:00 2001 From: steak-zhuo Date: Sun, 8 Jan 2023 13:08:30 +0800 Subject: [PATCH 07/86] =?UTF-8?q?=E8=A1=A5=E5=85=85=E5=AE=8C=E6=95=B4?= =?UTF-8?q?=E5=AF=B9=E5=BA=94=E7=9A=84ts=E7=B1=BB=E5=9E=8B?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- codes/typescript/module/ListNode.ts | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/codes/typescript/module/ListNode.ts b/codes/typescript/module/ListNode.ts index a5e303400..ef7da6631 100644 --- a/codes/typescript/module/ListNode.ts +++ b/codes/typescript/module/ListNode.ts @@ -20,7 +20,7 @@ export default class ListNode { * @param arr * @return */ - arrToLinkedList(arr: number[]) { + arrToLinkedList(arr: number[]): ListNode | null { const dum: ListNode = new ListNode(0); let head = dum; for (const val of arr) { From 5cfcba1eb9bf6d54438790dcb480e6416944f62a Mon Sep 17 00:00:00 2001 From: steak-zhuo Date: Sun, 8 Jan 2023 13:39:19 +0800 Subject: [PATCH 08/86] update the doc --- docs/chapter_searching/hashing_search.md | 30 ++++++++++++++++++++---- 1 file changed, 25 insertions(+), 5 deletions(-) diff --git a/docs/chapter_searching/hashing_search.md b/docs/chapter_searching/hashing_search.md index a52f72e21..1e41297e7 100644 --- a/docs/chapter_searching/hashing_search.md +++ b/docs/chapter_searching/hashing_search.md @@ -68,13 +68,23 @@ comments: true === "JavaScript" ```js title="hashing_search.js" - + /* 哈希查找(数组) */ + function hashingSearch(map, target) { + // 哈希表的 key: 目标元素,value: 索引 + // 若哈希表中无此 key ,返回 -1 + return map.has(target) ? map.get(target) : -1; + } ``` === "TypeScript" ```typescript title="hashing_search.ts" - + /* 哈希查找(数组) */ + function hashingSearch(map: Map, target: number) { + // 哈希表的 key: 目标元素,value: 索引 + // 若哈希表中无此 key ,返回 -1 + return map.has(target) ? map.get(target) : -1; + } ``` === "C" @@ -145,19 +155,29 @@ comments: true } else { return nil } - } + } ``` === "JavaScript" ```js title="hashing_search.js" - + /* 哈希查找(链表) */ + function hashingSearch1(map, target) { + // 哈希表的 key: 目标结点值,value: 结点对象 + // 若哈希表中无此 key ,返回 null + return map.has(target) ? map.get(target) : null; + } ``` === "TypeScript" ```typescript title="hashing_search.ts" - + /* 哈希查找(链表) */ + function hashingSearch1(map: Map, target: number) { + // 哈希表的 key: 目标结点值,value: 结点对象 + // 若哈希表中无此 key ,返回 null + return map.has(target) ? map.get(target) : null; + } ``` === "C" From 8804ab2940fb0ed660c9f55234a7921a795bcfe6 Mon Sep 17 00:00:00 2001 From: steak-zhuo Date: Sun, 8 Jan 2023 20:30:55 +0800 Subject: [PATCH 09/86] update the indent --- .../chapter_searching/hashing_search.js | 54 +++++++++---------- .../chapter_searching/hashing_search.ts | 54 +++++++++---------- 2 files changed, 54 insertions(+), 54 deletions(-) diff --git a/codes/javascript/chapter_searching/hashing_search.js b/codes/javascript/chapter_searching/hashing_search.js index c1e39766e..4b5923d4a 100644 --- a/codes/javascript/chapter_searching/hashing_search.js +++ b/codes/javascript/chapter_searching/hashing_search.js @@ -10,42 +10,42 @@ const ListNode = require("../include/ListNode"); /* 哈希查找(数组) */ function hashingSearch(map, target) { - // 哈希表的 key: 目标元素,value: 索引 - // 若哈希表中无此 key ,返回 -1 - return map.has(target) ? map.get(target) : -1; + // 哈希表的 key: 目标元素,value: 索引 + // 若哈希表中无此 key ,返回 -1 + return map.has(target) ? map.get(target) : -1; } /* 哈希查找(链表) */ function hashingSearch1(map, target) { - // 哈希表的 key: 目标结点值,value: 结点对象 - // 若哈希表中无此 key ,返回 null - return map.has(target) ? map.get(target) : null; + // 哈希表的 key: 目标结点值,value: 结点对象 + // 若哈希表中无此 key ,返回 null + return map.has(target) ? map.get(target) : null; } function main() { - const target = 3; + const target = 3; - /* 哈希查找(数组) */ - const nums = [1, 5, 3, 2, 4, 7, 5, 9, 10, 8]; - // 初始化哈希表 - const map = new Map(); - for (let i = 0; i < nums.length; i++) { - map.set(nums[i], i); // key: 元素,value: 索引 - } - const index = hashingSearch(map, target); - console.log("目标元素 3 的索引 = " + index); + /* 哈希查找(数组) */ + const nums = [1, 5, 3, 2, 4, 7, 5, 9, 10, 8]; + // 初始化哈希表 + const map = new Map(); + for (let i = 0; i < nums.length; i++) { + map.set(nums[i], i); // key: 元素,value: 索引 + } + const index = hashingSearch(map, target); + console.log("目标元素 3 的索引 = " + index); - /* 哈希查找(链表) */ - let head = new ListNode().arrToLinkedList(nums) - // 初始化哈希表 - const map1 = new Map(); - while (head != null) { - map1.set(head.val, head); // key: 结点值,value: 结点 - head = head.next; - } - const node = hashingSearch1(map1, target); - console.log("目标结点值 3 的对应结点对象为" ); - PrintUtil.printLinkedList(node); + /* 哈希查找(链表) */ + let head = new ListNode().arrToLinkedList(nums) + // 初始化哈希表 + const map1 = new Map(); + while (head != null) { + map1.set(head.val, head); // key: 结点值,value: 结点 + head = head.next; + } + const node = hashingSearch1(map1, target); + console.log("目标结点值 3 的对应结点对象为" ); + PrintUtil.printLinkedList(node); } main(); diff --git a/codes/typescript/chapter_searching/hashing_search.ts b/codes/typescript/chapter_searching/hashing_search.ts index d0ab8bb5c..064201737 100644 --- a/codes/typescript/chapter_searching/hashing_search.ts +++ b/codes/typescript/chapter_searching/hashing_search.ts @@ -10,42 +10,42 @@ import ListNode from "../module/ListNode"; /* 哈希查找(数组) */ function hashingSearch(map: Map, target: number) { - // 哈希表的 key: 目标元素,value: 索引 - // 若哈希表中无此 key ,返回 -1 - return map.has(target) ? map.get(target) : -1; + // 哈希表的 key: 目标元素,value: 索引 + // 若哈希表中无此 key ,返回 -1 + return map.has(target) ? map.get(target) : -1; } /* 哈希查找(链表) */ function hashingSearch1(map: Map, target: number) { - // 哈希表的 key: 目标结点值,value: 结点对象 - // 若哈希表中无此 key ,返回 null - return map.has(target) ? map.get(target) : null; + // 哈希表的 key: 目标结点值,value: 结点对象 + // 若哈希表中无此 key ,返回 null + return map.has(target) ? map.get(target) : null; } function main() { - const target = 3; + const target = 3; - /* 哈希查找(数组) */ - const nums = [1, 5, 3, 2, 4, 7, 5, 9, 10, 8]; - // 初始化哈希表 - const map = new Map(); - for (let i = 0; i < nums.length; i++) { - map.set(nums[i], i); // key: 元素,value: 索引 - } - const index = hashingSearch(map, target); - console.log("目标元素 3 的索引 = " + index); + /* 哈希查找(数组) */ + const nums = [1, 5, 3, 2, 4, 7, 5, 9, 10, 8]; + // 初始化哈希表 + const map = new Map(); + for (let i = 0; i < nums.length; i++) { + map.set(nums[i], i); // key: 元素,value: 索引 + } + const index = hashingSearch(map, target); + console.log("目标元素 3 的索引 = " + index); - /* 哈希查找(链表) */ - let head = new ListNode().arrToLinkedList(nums) - // 初始化哈希表 - const map1 = new Map(); - while (head != null) { - map1.set(head.val, head); // key: 结点值,value: 结点 - head = head.next; - } - const node = hashingSearch1(map1, target); - console.log("目标结点值 3 的对应结点对象为"); - printLinkedList(node); + /* 哈希查找(链表) */ + let head = new ListNode().arrToLinkedList(nums) + // 初始化哈希表 + const map1 = new Map(); + while (head != null) { + map1.set(head.val, head); // key: 结点值,value: 结点 + head = head.next; + } + const node = hashingSearch1(map1, target); + console.log("目标结点值 3 的对应结点对象为"); + printLinkedList(node); } main(); From 742b6b632fbbef1818f056f644f3553a75db0027 Mon Sep 17 00:00:00 2001 From: steak-zhuo Date: Sun, 8 Jan 2023 20:35:17 +0800 Subject: [PATCH 10/86] =?UTF-8?q?=E5=AE=8C=E5=96=84=E6=B3=A8=E9=87=8A?= =?UTF-8?q?=E5=A4=B4=E6=A0=BC=E5=BC=8F?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- codes/javascript/chapter_searching/hashing_search.js | 2 +- codes/typescript/chapter_searching/hashing_search.ts | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/codes/javascript/chapter_searching/hashing_search.js b/codes/javascript/chapter_searching/hashing_search.js index 4b5923d4a..96b451873 100644 --- a/codes/javascript/chapter_searching/hashing_search.js +++ b/codes/javascript/chapter_searching/hashing_search.js @@ -1,4 +1,4 @@ -/* +/** * File: hashing_search.js * Created Time: 2022-12-29 * Author: zhuoqinyue (1403450829@qq.com) diff --git a/codes/typescript/chapter_searching/hashing_search.ts b/codes/typescript/chapter_searching/hashing_search.ts index 064201737..ab5beb701 100644 --- a/codes/typescript/chapter_searching/hashing_search.ts +++ b/codes/typescript/chapter_searching/hashing_search.ts @@ -1,4 +1,4 @@ -/* +/** * File: hashing_search.js * Created Time: 2022-12-29 * Author: zhuoqinyue (1403450829@qq.com) From b7ff82deb5d0f45552f8587b321ed34d17e45f96 Mon Sep 17 00:00:00 2001 From: steak-zhuo Date: Sun, 8 Jan 2023 20:39:42 +0800 Subject: [PATCH 11/86] =?UTF-8?q?=E5=AE=8C=E5=96=84=E4=BD=9C=E8=80=85?= =?UTF-8?q?=E4=BF=A1=E6=81=AF?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- codes/javascript/chapter_searching/hashing_search.js | 2 +- codes/typescript/chapter_searching/hashing_search.ts | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/codes/javascript/chapter_searching/hashing_search.js b/codes/javascript/chapter_searching/hashing_search.js index 96b451873..ebe6a139f 100644 --- a/codes/javascript/chapter_searching/hashing_search.js +++ b/codes/javascript/chapter_searching/hashing_search.js @@ -1,7 +1,7 @@ /** * File: hashing_search.js * Created Time: 2022-12-29 - * Author: zhuoqinyue (1403450829@qq.com) + * Author: Zhuo Qinyue (1403450829@qq.com) */ const PrintUtil = require("../include/PrintUtil"); diff --git a/codes/typescript/chapter_searching/hashing_search.ts b/codes/typescript/chapter_searching/hashing_search.ts index ab5beb701..ef0245a91 100644 --- a/codes/typescript/chapter_searching/hashing_search.ts +++ b/codes/typescript/chapter_searching/hashing_search.ts @@ -1,7 +1,7 @@ /** * File: hashing_search.js * Created Time: 2022-12-29 - * Author: zhuoqinyue (1403450829@qq.com) + * Author: Zhuo Qinyue (1403450829@qq.com) */ import { printLinkedList } from "../module/PrintUtil"; From ecabb4077b32fa451f0c2b3fdfbc434f51b92ae2 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Sun, 8 Jan 2023 22:18:23 +0800 Subject: [PATCH 12/86] Update codes of heap.java and my_heap.java --- codes/java/chapter_heap/heap.java | 60 +++++++ codes/java/chapter_heap/my_heap.java | 170 +++++++++++++++++++ codes/java/chapter_tree/binary_tree_bfs.java | 2 +- codes/java/chapter_tree/binary_tree_dfs.java | 2 +- codes/java/include/PrintUtil.java | 14 +- codes/java/include/TreeNode.java | 21 +-- docs/chapter_heap/heap.md | 54 ++++++ 7 files changed, 307 insertions(+), 16 deletions(-) create mode 100644 codes/java/chapter_heap/heap.java create mode 100644 codes/java/chapter_heap/my_heap.java create mode 100644 docs/chapter_heap/heap.md diff --git a/codes/java/chapter_heap/heap.java b/codes/java/chapter_heap/heap.java new file mode 100644 index 000000000..16e35e603 --- /dev/null +++ b/codes/java/chapter_heap/heap.java @@ -0,0 +1,60 @@ +/** + * File: my_heap.java + * Created Time: 2023-01-07 + * Author: Krahets (krahets@163.com) + */ + +package chapter_heap; + +import include.*; +import java.util.*; + + +public class heap { + public static void testPush(Queue heap, int val) { + // 元素入堆 + heap.add(val); + + System.out.format("\n添加元素 %d 后\n", val); + PrintUtil.printHeap(heap); + } + + public static void testPoll(Queue heap) { + // 元素出堆 + int val = heap.poll(); + + System.out.format("\n出堆元素为 %d\n", val); + PrintUtil.printHeap(heap); + } + + public static void main(String[] args) { + /* 初始化堆 */ + // 初始化最小堆 + Queue minHeap = new PriorityQueue<>(); + // 初始化最大堆(使用 lambda 表达式修改 Comparator) + Queue maxHeap = new PriorityQueue<>((a, b) -> { return b - a; }); + + /* 元素入堆 */ + testPush(maxHeap, 1); + testPush(maxHeap, 3); + testPush(maxHeap, 2); + testPush(maxHeap, 5); + testPush(maxHeap, 4); + + /* 获取堆顶元素 */ + int peek = maxHeap.peek(); + System.out.format("\n堆顶元素为 %d\n", peek); + + /* 元素出堆 */ + testPoll(maxHeap); + testPoll(maxHeap); + + /* 获取堆大小 */ + int size = maxHeap.size(); + System.out.format("\n堆元素数量为 %d\n", size); + + /* 判断堆是否为空 */ + boolean isEmpty = maxHeap.isEmpty(); + System.out.format("\n堆是否为空 %b\n", isEmpty); + } +} diff --git a/codes/java/chapter_heap/my_heap.java b/codes/java/chapter_heap/my_heap.java new file mode 100644 index 000000000..39583c1d7 --- /dev/null +++ b/codes/java/chapter_heap/my_heap.java @@ -0,0 +1,170 @@ +/** + * File: my_heap.java + * Created Time: 2023-01-07 + * Author: Krahets (krahets@163.com) + */ + +package chapter_heap; + +import include.*; +import java.util.*; + +class MaxHeap { + // 使用列表而非数组,这样无需考虑扩容问题 + private List maxHeap; + + /* 构造函数,建立空堆 */ + public MaxHeap() { + maxHeap = new ArrayList<>(); + } + + /* 构造函数,堆化 nums 所有元素 */ + public MaxHeap(List nums) { + // 将元素拷贝至堆中 + maxHeap = new ArrayList<>(nums); + // 堆化除叶结点以外的其他所有结点 + for (int i = parent(size() - 1); i >= 0; i--) { + heapify(i); + } + } + + /* 获取左子结点索引 */ + private int left(int i) { + return 2 * i + 1; + } + + /* 获取右子结点索引 */ + private int right(int i) { + return 2 * i + 2; + } + + /* 获取父结点索引 */ + private int parent(int i) { + return (i - 1) / 2; + } + + /* 交换元素 */ + private void swap(int i, int j) { + int a = maxHeap.get(i), + b = maxHeap.get(j), + tmp = a; + maxHeap.set(i, b); + maxHeap.set(j, tmp); + } + + /* 获取堆大小 */ + public int size() { + return maxHeap.size(); + } + + /* 判断堆是否为空 */ + public boolean isEmpty() { + return size() == 0; + } + + /* 访问堆顶元素 */ + public int peek() { + return maxHeap.get(0); + } + + /* 元素入堆 */ + public void push(int val) { + // 添加结点 + maxHeap.add(val); + // 从底至顶堆化 + int i = size() - 1; + while (true) { + int p = parent(i); + if (p < 0 || maxHeap.get(i) <= maxHeap.get(p)) + break; + swap(i, p); + i = p; + } + } + + /* 元素出堆 */ + public int poll() { + // 判空处理 + if (isEmpty()) + throw new EmptyStackException(); + // 交换根结点与右下角(即最后一个)结点 + swap(0, size() - 1); + // 删除结点 + int val = maxHeap.remove(size() - 1); + // 从顶至底堆化 + heapify(0); + // 返回堆顶元素 + return val; + } + + /* 从结点 i 开始,从顶至底堆化 */ + private void heapify(int i) { + while (true) { + // 判断结点 i, l, r 中值最大的结点,记为 ma ; + int l = left(i), r = right(i), ma = i; + if (l < size() && maxHeap.get(l) > maxHeap.get(ma)) ma = l; + if (r < size() && maxHeap.get(r) > maxHeap.get(ma)) ma = r; + // 若结点 i 最大,则无需继续堆化,跳出 + if (ma == i) break; + // 交换结点 i 与结点 max + swap(i, ma); + // 循环向下堆化 + i = ma; + } + } + + /* 打印堆(二叉树) */ + public void print() { + Queue queue = new PriorityQueue<>((a, b) -> { return b - a; }); + queue.addAll(maxHeap); + PrintUtil.printHeap(queue); + } +} + + +public class my_heap { + public static void testPush(MaxHeap maxHeap, int val) { + // 元素入堆 + maxHeap.push(val); + + System.out.format("\n添加元素 %d 后\n", val); + maxHeap.print(); + } + + public static void testPoll(MaxHeap maxHeap) { + // 元素出堆 + int val = maxHeap.poll(); + + System.out.format("\n出堆元素为 %d\n", val); + maxHeap.print(); + } + + public static void main(String[] args) { + /* 初始化堆 */ + // 初始化最大堆 + MaxHeap maxHeap = new MaxHeap(); + + /* 元素入堆 */ + testPush(maxHeap, 1); + testPush(maxHeap, 3); + testPush(maxHeap, 2); + testPush(maxHeap, 5); + testPush(maxHeap, 4); + + /* 获取堆顶元素 */ + int peek = maxHeap.peek(); + System.out.format("\n堆顶元素为 %d\n", peek); + + /* 元素出堆 */ + testPoll(maxHeap); + testPoll(maxHeap); + + /* 获取堆大小 */ + int size = maxHeap.size(); + System.out.format("\n堆元素数量为 %d\n", size); + + /* 判断堆是否为空 */ + boolean isEmpty = maxHeap.isEmpty(); + System.out.format("\n堆是否为空 %b\n", isEmpty); + } +} diff --git a/codes/java/chapter_tree/binary_tree_bfs.java b/codes/java/chapter_tree/binary_tree_bfs.java index 450311d08..ffeb352e0 100644 --- a/codes/java/chapter_tree/binary_tree_bfs.java +++ b/codes/java/chapter_tree/binary_tree_bfs.java @@ -30,7 +30,7 @@ public class binary_tree_bfs { public static void main(String[] args) { /* 初始化二叉树 */ // 这里借助了一个从数组直接生成二叉树的函数 - TreeNode root = TreeNode.arrToTree(new Integer[] { 1, 2, 3, 4, 5, 6, 7 }); + TreeNode root = TreeNode.listToTree(Arrays.asList(1, 2, 3, 4, 5, 6, 7)); System.out.println("\n初始化二叉树\n"); PrintUtil.printTree(root); diff --git a/codes/java/chapter_tree/binary_tree_dfs.java b/codes/java/chapter_tree/binary_tree_dfs.java index ad5337f22..9f2d0507d 100644 --- a/codes/java/chapter_tree/binary_tree_dfs.java +++ b/codes/java/chapter_tree/binary_tree_dfs.java @@ -43,7 +43,7 @@ public class binary_tree_dfs { public static void main(String[] args) { /* 初始化二叉树 */ // 这里借助了一个从数组直接生成二叉树的函数 - TreeNode root = TreeNode.arrToTree(new Integer[] { 1, 2, 3, 4, 5, 6, 7 }); + TreeNode root = TreeNode.listToTree(Arrays.asList(1, 2, 3, 4, 5, 6, 7)); System.out.println("\n初始化二叉树\n"); PrintUtil.printTree(root); diff --git a/codes/java/include/PrintUtil.java b/codes/java/include/PrintUtil.java index b2593ac1f..1ebc45ba0 100755 --- a/codes/java/include/PrintUtil.java +++ b/codes/java/include/PrintUtil.java @@ -105,10 +105,16 @@ public class PrintUtil { } } - public static void printHeap(PriorityQueue queue) { - Integer[] nums = (Integer[])queue.toArray(); - TreeNode root = TreeNode.arrToTree(nums); - + /** + * Print a heap (PriorityQueue) + * @param queue + */ + public static void printHeap(Queue queue) { + List list = new ArrayList<>(queue); + System.out.print("堆的数组表示:"); + System.out.println(list); + System.out.println("堆的树状表示:"); + TreeNode root = TreeNode.listToTree(list); printTree(root); } } diff --git a/codes/java/include/TreeNode.java b/codes/java/include/TreeNode.java index 11d457a10..22a349747 100644 --- a/codes/java/include/TreeNode.java +++ b/codes/java/include/TreeNode.java @@ -23,26 +23,27 @@ public class TreeNode { /** * Generate a binary tree given an array - * @param arr + * @param list * @return */ - public static TreeNode arrToTree(Integer[] arr) { - if (arr.length == 0) + public static TreeNode listToTree(List list) { + int size = list.size(); + if (size == 0) return null; - TreeNode root = new TreeNode(arr[0]); + TreeNode root = new TreeNode(list.get(0)); Queue queue = new LinkedList<>() {{ add(root); }}; int i = 0; while(!queue.isEmpty()) { TreeNode node = queue.poll(); - if (++i >= arr.length) break; - if(arr[i] != null) { - node.left = new TreeNode(arr[i]); + if (++i >= size) break; + if (list.get(i) != null) { + node.left = new TreeNode(list.get(i)); queue.add(node.left); } - if (++i >= arr.length) break; - if(arr[i] != null) { - node.right = new TreeNode(arr[i]); + if (++i >= size) break; + if (list.get(i) != null) { + node.right = new TreeNode(list.get(i)); queue.add(node.right); } } diff --git a/docs/chapter_heap/heap.md b/docs/chapter_heap/heap.md new file mode 100644 index 000000000..b0151622f --- /dev/null +++ b/docs/chapter_heap/heap.md @@ -0,0 +1,54 @@ +# 堆 + +「堆 Heap」是一种特殊的树状数据结构,并且是一颗「完全二叉树」。堆主要分为两种: + +- 「大顶堆 Max Heap」,任意结点的值 $\geq$ 其子结点的值,因此根结点的值最大; +- 「小顶堆 Min Heap」,任意结点的值 $\leq$ 其子结点的值,因此根结点的值最小; + +(图) + +!!! tip "" + + 大顶堆和小顶堆的定义、性质、操作本质上是相同的,区别只是大顶堆在求最大值,小顶堆在求最小值。 + +## 堆常用操作 + +值得说明的是,多数编程语言提供的是「优先队列 Priority Queue」,其是一种抽象数据结构,**定义为具有出队优先级的队列**。 + +而恰好,堆的定义与优先队列的操作逻辑完全吻合,大顶堆就是一个元素从大到小出队的优先队列。从使用角度看,我们可以将「优先队列」和「堆」理解为等价的数据结构,下文将统一使用 “堆” 这个名称。 + +堆的常用操作见下表(方法命名以 Java 为例)。 + +

Table. 堆的常用操作

+ +
+ +| 方法 | 描述 | +| --------- | -------------------------------------------- | +| add() | 元素入堆 | +| poll() | 堆顶元素出堆 | +| peek() | 访问堆顶元素(大 / 小顶堆分别为最大 / 小值) | +| size() | 获取堆的元素数量 | +| isEmpty() | 判断堆是否为空 | + +
+ +```java + +``` + +## 堆的实现 + +!!! tip + + 下文使用「大顶堆」来举例,「小顶堆」的用法与实现可以简单地将所有 $>$ ($<$) 替换为 $<$ ($>$) 即可。 + +我们一般使用「数组」来存储「堆」,这是因为完全二叉树非常适合用数组来表示(在二叉树章节有详细解释)。 + + + +## 堆常见应用 + +- 优先队列。 +- 堆排序。 +- 获取数据 Top K 大(小)元素。 From 80c5a0472af1c57e930ccde1238700179931067e Mon Sep 17 00:00:00 2001 From: xiongsp <37035570+xiongsp@users.noreply.github.com> Date: Sun, 8 Jan 2023 23:22:01 +0800 Subject: [PATCH 13/86] update Docker --- Dockerfile | 20 ++++++++++++++++++++ docker-compose.yml | 7 +++++++ 2 files changed, 27 insertions(+) create mode 100644 Dockerfile create mode 100644 docker-compose.yml diff --git a/Dockerfile b/Dockerfile new file mode 100644 index 000000000..5d437c846 --- /dev/null +++ b/Dockerfile @@ -0,0 +1,20 @@ +FROM python:3.9.0-buster + +RUN sed -i 's/deb.debian.org/mirrors.aliyun.com/g' /etc/apt/sources.list +RUN sed -i 's/security.debian.org/mirrors.aliyun.com/g' /etc/apt/sources.list + +RUN pip install --upgrade pip && pip install mkdocs mkdocs-material + +WORKDIR /app + +COPY codes /app/codes + +COPY docs /app/docs + +COPY mkdocs.yml /app/mkdocs.yml + +RUN mkdir ./docs/overrides && mkdocs build + +EXPOSE 8000 + +CMD ["mkdocs", "serve", "-a", "0.0.0.0:8000"] \ No newline at end of file diff --git a/docker-compose.yml b/docker-compose.yml new file mode 100644 index 000000000..6a472b173 --- /dev/null +++ b/docker-compose.yml @@ -0,0 +1,7 @@ +version: '3' +services: + hello-algo: + build: . + ports: + - "8000:8000" + \ No newline at end of file From 6b3c87399b507ef6bd43c78375c8c2cdfef4d9e5 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Mon, 9 Jan 2023 02:17:40 +0800 Subject: [PATCH 14/86] Add time complexity in stack, queue, deque. Update heap. --- .prettierrc | 4 - codes/java/chapter_heap/heap.java | 22 ++- codes/java/chapter_heap/my_heap.java | 53 +++--- docs/chapter_heap/heap.md | 232 ++++++++++++++++++++++++-- docs/chapter_stack_and_queue/deque.md | 22 +-- docs/chapter_stack_and_queue/queue.md | 20 +-- docs/chapter_stack_and_queue/stack.md | 20 +-- docs/chapter_tree/summary.md | 2 +- 8 files changed, 296 insertions(+), 79 deletions(-) delete mode 100644 .prettierrc diff --git a/.prettierrc b/.prettierrc deleted file mode 100644 index 5a938ce18..000000000 --- a/.prettierrc +++ /dev/null @@ -1,4 +0,0 @@ -{ - "tabWidth": 4, - "useTabs": false -} diff --git a/codes/java/chapter_heap/heap.java b/codes/java/chapter_heap/heap.java index 16e35e603..b964830fd 100644 --- a/codes/java/chapter_heap/heap.java +++ b/codes/java/chapter_heap/heap.java @@ -12,28 +12,26 @@ import java.util.*; public class heap { public static void testPush(Queue heap, int val) { - // 元素入堆 - heap.add(val); - + heap.add(val); // 元素入堆 System.out.format("\n添加元素 %d 后\n", val); PrintUtil.printHeap(heap); } public static void testPoll(Queue heap) { - // 元素出堆 - int val = heap.poll(); - + int val = heap.poll(); // 堆顶元素出堆 System.out.format("\n出堆元素为 %d\n", val); PrintUtil.printHeap(heap); } public static void main(String[] args) { /* 初始化堆 */ - // 初始化最小堆 + // 初始化小顶堆 Queue minHeap = new PriorityQueue<>(); - // 初始化最大堆(使用 lambda 表达式修改 Comparator) + // 初始化大顶堆(使用 lambda 表达式修改 Comparator 即可) Queue maxHeap = new PriorityQueue<>((a, b) -> { return b - a; }); + System.out.println("\n以下测试样例为大顶堆"); + /* 元素入堆 */ testPush(maxHeap, 1); testPush(maxHeap, 3); @@ -45,7 +43,7 @@ public class heap { int peek = maxHeap.peek(); System.out.format("\n堆顶元素为 %d\n", peek); - /* 元素出堆 */ + /* 堆顶元素出堆 */ testPoll(maxHeap); testPoll(maxHeap); @@ -56,5 +54,11 @@ public class heap { /* 判断堆是否为空 */ boolean isEmpty = maxHeap.isEmpty(); System.out.format("\n堆是否为空 %b\n", isEmpty); + + /* 输入列表并建堆 */ + // 时间复杂度为 O(n) ,而非 O(nlogn) + minHeap = new PriorityQueue<>(Arrays.asList(1, 3, 2, 5, 4)); + System.out.println("\n输入 [1, 3, 2, 5, 4] ,建立小顶堆"); + PrintUtil.printHeap(minHeap); } } diff --git a/codes/java/chapter_heap/my_heap.java b/codes/java/chapter_heap/my_heap.java index 39583c1d7..89f5c6e23 100644 --- a/codes/java/chapter_heap/my_heap.java +++ b/codes/java/chapter_heap/my_heap.java @@ -18,13 +18,13 @@ class MaxHeap { maxHeap = new ArrayList<>(); } - /* 构造函数,堆化 nums 所有元素 */ + /* 构造函数,根据输入列表建堆 */ public MaxHeap(List nums) { - // 将元素拷贝至堆中 + // 所有元素入堆 maxHeap = new ArrayList<>(nums); // 堆化除叶结点以外的其他所有结点 for (int i = parent(size() - 1); i >= 0; i--) { - heapify(i); + siftDown(i); } } @@ -40,7 +40,7 @@ class MaxHeap { /* 获取父结点索引 */ private int parent(int i) { - return (i - 1) / 2; + return (i - 1) / 2; // 向下整除 } /* 交换元素 */ @@ -72,12 +72,20 @@ class MaxHeap { // 添加结点 maxHeap.add(val); // 从底至顶堆化 - int i = size() - 1; + siftUp(size() - 1); + } + + /* 从结点 i 开始,从底至顶堆化 */ + private void siftUp(int i) { while (true) { + // 获取结点 i 的父结点 int p = parent(i); + // 当“越过根结点”或“结点无需修复”时,结束堆化 if (p < 0 || maxHeap.get(i) <= maxHeap.get(p)) break; + // 交换两结点 swap(i, p); + // 循环向上堆化 i = p; } } @@ -87,26 +95,28 @@ class MaxHeap { // 判空处理 if (isEmpty()) throw new EmptyStackException(); - // 交换根结点与右下角(即最后一个)结点 + // 交换根结点与最右叶结点(即交换首元素与尾元素) swap(0, size() - 1); // 删除结点 int val = maxHeap.remove(size() - 1); // 从顶至底堆化 - heapify(0); + siftDown(0); // 返回堆顶元素 return val; } /* 从结点 i 开始,从顶至底堆化 */ - private void heapify(int i) { + private void siftDown(int i) { while (true) { // 判断结点 i, l, r 中值最大的结点,记为 ma ; int l = left(i), r = right(i), ma = i; - if (l < size() && maxHeap.get(l) > maxHeap.get(ma)) ma = l; - if (r < size() && maxHeap.get(r) > maxHeap.get(ma)) ma = r; - // 若结点 i 最大,则无需继续堆化,跳出 + if (l < size() && maxHeap.get(l) > maxHeap.get(ma)) + ma = l; + if (r < size() && maxHeap.get(r) > maxHeap.get(ma)) + ma = r; + // 若结点 i 最大或索引 l, r 越界,则无需继续堆化,跳出 if (ma == i) break; - // 交换结点 i 与结点 max + // 交换两结点 swap(i, ma); // 循环向下堆化 i = ma; @@ -124,26 +134,24 @@ class MaxHeap { public class my_heap { public static void testPush(MaxHeap maxHeap, int val) { - // 元素入堆 - maxHeap.push(val); - + maxHeap.push(val); // 元素入堆 System.out.format("\n添加元素 %d 后\n", val); maxHeap.print(); } public static void testPoll(MaxHeap maxHeap) { - // 元素出堆 - int val = maxHeap.poll(); - + int val = maxHeap.poll(); // 堆顶元素出堆 System.out.format("\n出堆元素为 %d\n", val); maxHeap.print(); } public static void main(String[] args) { /* 初始化堆 */ - // 初始化最大堆 + // 初始化大顶堆 MaxHeap maxHeap = new MaxHeap(); + System.out.println("\n以下测试样例为大顶堆"); + /* 元素入堆 */ testPush(maxHeap, 1); testPush(maxHeap, 3); @@ -155,7 +163,7 @@ public class my_heap { int peek = maxHeap.peek(); System.out.format("\n堆顶元素为 %d\n", peek); - /* 元素出堆 */ + /* 堆顶元素出堆 */ testPoll(maxHeap); testPoll(maxHeap); @@ -166,5 +174,10 @@ public class my_heap { /* 判断堆是否为空 */ boolean isEmpty = maxHeap.isEmpty(); System.out.format("\n堆是否为空 %b\n", isEmpty); + + /* 将输入列表堆化 */ + maxHeap = new MaxHeap(Arrays.asList(1, 3, 2, 5, 4)); + System.out.println("\n输入 [1, 3, 2, 5, 4] ,建立大顶堆"); + maxHeap.print(); } } diff --git a/docs/chapter_heap/heap.md b/docs/chapter_heap/heap.md index b0151622f..03a485f99 100644 --- a/docs/chapter_heap/heap.md +++ b/docs/chapter_heap/heap.md @@ -15,7 +15,7 @@ 值得说明的是,多数编程语言提供的是「优先队列 Priority Queue」,其是一种抽象数据结构,**定义为具有出队优先级的队列**。 -而恰好,堆的定义与优先队列的操作逻辑完全吻合,大顶堆就是一个元素从大到小出队的优先队列。从使用角度看,我们可以将「优先队列」和「堆」理解为等价的数据结构,下文将统一使用 “堆” 这个名称。 +而恰好,堆的定义与优先队列的操作逻辑完全吻合,大顶堆就是一个元素从大到小出队的优先队列。从使用角度看,我们可以将「优先队列」和「堆」理解为等价的数据结构。因此,本文与代码对两者不做特别区分,统一使用「堆」来命名。 堆的常用操作见下表(方法命名以 Java 为例)。 @@ -23,32 +23,236 @@
-| 方法 | 描述 | -| --------- | -------------------------------------------- | -| add() | 元素入堆 | -| poll() | 堆顶元素出堆 | -| peek() | 访问堆顶元素(大 / 小顶堆分别为最大 / 小值) | -| size() | 获取堆的元素数量 | -| isEmpty() | 判断堆是否为空 | +| 方法 | 描述 | 时间复杂度 | +| --------- | -------------------------------------------- | ----------- | +| add() | 元素入堆 | $O(\log n)$ | +| poll() | 堆顶元素出堆 | $O(\log n)$ | +| peek() | 访问堆顶元素(大 / 小顶堆分别为最大 / 小值) | $O(1)$ | +| size() | 获取堆的元素数量 | $O(1)$ | +| isEmpty() | 判断堆是否为空 | $O(1)$ |
-```java +我们可以直接使用编程语言提供的堆类(或优先队列类)。 +```java +/* 初始化堆 */ +// 初始化小顶堆 +Queue minHeap = new PriorityQueue<>(); +// 初始化大顶堆(使用 lambda 表达式修改 Comparator 即可) +Queue maxHeap = new PriorityQueue<>((a, b) -> { return b - a; }); + +/* 元素入堆 */ +maxHeap.add(1); +maxHeap.add(3); +maxHeap.add(2); +maxHeap.add(5); +maxHeap.add(4); + +/* 获取堆顶元素 */ +int peek = maxHeap.peek(); + +/* 堆顶元素出堆 */ +int val = heap.poll(); + +/* 获取堆大小 */ +int size = maxHeap.size(); + +/* 判断堆是否为空 */ +boolean isEmpty = maxHeap.isEmpty(); + +/* 输入列表并建堆 */ +// 时间复杂度为 O(n) ,而非 O(nlogn) +minHeap = new PriorityQueue<>(Arrays.asList(1, 3, 2, 5, 4)); ``` ## 堆的实现 !!! tip - 下文使用「大顶堆」来举例,「小顶堆」的用法与实现可以简单地将所有 $>$ ($<$) 替换为 $<$ ($>$) 即可。 + 下文使用「大顶堆」来举例,将所有 $>$ ($<$) 替换为 $<$ ($>$) 即可实现「小顶堆」。 -我们一般使用「数组」来存储「堆」,这是因为完全二叉树非常适合用数组来表示(在二叉树章节有详细解释)。 +### 堆的存储与表示 +在二叉树章节我们学过,「完全二叉树」非常适合使用「数组」来表示,而堆恰好是一颗完全二叉树,因而我们一般使用「数组」来存储「堆」。 +**二叉树指针**。使用数组表示二叉树时,数组元素都代表结点值,索引代表结点在二叉树中的位置,**结点指针通过索引映射公式来实现**。具体地,给定索引 $i$ ,那么其左子结点索引为 $2i + 1$ 、右子结点索引为 $2i + 2$ 、父结点索引为 $(i - 1) / 2$ (向下整除)。当索引越界时,代表空结点或结点不存在。我们将以上映射公式封装成函数,以便使用。 + +(图) + +```java +// 使用列表而非数组,这样无需考虑扩容问题 +List maxHeap; + +/* 构造函数,建立空堆 */ +public MaxHeap() { + maxHeap = new ArrayList<>(); +} + +/* 获取左子结点索引 */ +int left(int i) { + return 2 * i + 1; +} + +/* 获取右子结点索引 */ +int right(int i) { + return 2 * i + 2; +} + +/* 获取父结点索引 */ +int parent(int i) { + return (i - 1) / 2; // 向下整除 +} +``` + +### 访问堆顶元素 + +堆顶元素是二叉树的根结点,即列表首元素。 + +```java +/* 访问堆顶元素 */ +public int peek() { + return maxHeap.get(0); +} +``` + +### 元素入堆 + +给定元素 `val` ,我们先将其添加到堆的末尾。由于 `val` 可能大于其它元素,此时堆的性质可能被破坏了,我们需要修复从插入结点到根结点这条路径上的各个结点,该操作被称为「堆化 Heapify」。 + +考虑从入堆结点开始,**从底至顶执行堆化**。具体地,比较插入结点与其父结点的值,若插入结点更大则将它们交换;并循环以上操作,从底至顶地修复堆中的各个结点;直至越过根结点时结束,或当遇到无需交换的结点时提前结束。 + +设堆长度为 $n$ ,**元素入堆操作的时间复杂度为 $O(\log n)$** 。这是因为树的高度为 $O(\log n)$ ,因此堆化操作的循环轮数最多为 $O(\log n)$ 。 + +(图) + +```java +/* 元素入堆 */ +void push(int val) { + // 添加结点 + maxHeap.add(val); + // 从底至顶堆化 + siftUp(size() - 1); +} + +/* 从结点 i 开始,从底至顶堆化 */ +void siftUp(int i) { + while (true) { + // 获取结点 i 的父结点 + int p = parent(i); + // 若“越过根结点”或“结点无需修复”,则结束堆化 + if (p < 0 || maxHeap.get(i) <= maxHeap.get(p)) + break; + // 交换两结点 + swap(i, p); + // 循环向上堆化 + i = p; + } +} +``` + +### 堆顶元素出堆 + +堆顶元素是二叉树根结点,即列表首元素,如果我们直接将首元素从列表中删除,则二叉树中所有结点都产生移位,这样后续使用堆化修复就很麻烦了。为了尽量减少二叉树结点变动,采取以下操作步骤: + +1. 交换列表首元素与尾元素(即交换根结点与最右叶结点); +2. 将尾元素从列表中删除(此时堆顶元素已被删除); +3. 从根结点开始,从顶至底堆化; + +顾名思义,**从顶至底堆化的操作方向与从底至顶堆化相反**,我们比较根结点的值与其两个子结点的值,将最大的子结点与根结点执行交换,并循环以上操作,直到越过叶结点时结束,或当遇到无需交换的结点时提前结束。 + +(图) + +```java +/* 元素出堆 */ +int poll() { + // 判空处理 + if (isEmpty()) + throw new EmptyStackException(); + // 交换根结点与最右叶结点(即交换首元素与尾元素) + swap(0, size() - 1); + // 删除结点 + int val = maxHeap.remove(size() - 1); + // 从顶至底堆化 + siftDown(0); + // 返回堆顶元素 + return val; +} + +/* 从结点 i 开始,从顶至底堆化 */ +void siftDown(int i) { + while (true) { + // 判断结点 i, l, r 中值最大的结点,记为 ma ; + int l = left(i), r = right(i), ma = i; + if (l < size() && maxHeap.get(l) > maxHeap.get(ma)) + ma = l; + if (r < size() && maxHeap.get(r) > maxHeap.get(ma)) + ma = r; + // 若“结点 i 最大”或“越过叶结点”,则结束堆化 + if (ma == i) break; + // 交换两结点 + swap(i, ma); + // 循环向下堆化 + i = ma; + } +} +``` + +### 输入数据并建堆 * + +给定一个列表,我们也可以将其建堆。最直接地,可以通过调用「元素入堆」方法,将列表元素依次入堆。元素入堆的时间复杂度为 $O(n)$ ,而平均长度为 $\frac{n}{2}$ ,因此该方法的总体时间复杂度为 $O(n \log n)$ 。 + +然而,存在一种更加优雅的建堆方法。设结点数量为 $n$ ,我们先将列表所有元素原封不动添加进堆,**然后迭代地对各个结点执行「从顶至底堆化」**。当然,**无需对叶结点执行堆化,**因为其没有子结点。 + +```java +/* 构造函数,根据输入列表建堆 */ +public MaxHeap(List nums) { + // 将列表元素原封不动添加进堆 + maxHeap = new ArrayList<>(nums); + // 堆化除叶结点以外的其他所有结点 + for (int i = parent(size() - 1); i >= 0; i--) { + siftDown(i); + } +} +``` + +!!! tip + + 完全二叉树的叶结点数量为 $(n + 1) / 2$ ,其中 $/$ 为向下整除。 + +那么,第二种建堆方法的时间复杂度时多少呢?我们来做一下简单推算。叶结点和需要堆化结点的数量各占约一半,即为 $O(n)$ ,二叉树高度为 $O(\log n)$ ,可得时间复杂度为 $O(n \log n)$ 。该估算结果仍不够准确,因为我们没有考虑到二叉树“底层结点远多于顶层结点”的性质。 + +设二叉树(即堆)结点数量为 $n$ ,树高度为 $h$ 。如下图所示,我们将各层的“结点数量 $\times$ 子树高度”进行求和,即可得到准确的操作数量。 + +$$ +S = 2^0h + 2^1(h-1) + 2^2(h-2) + \cdots + 2^{(h-1)}\times1 +$$ + +(图) + +求解上式需要借助中学的数列知识,先对 $S$ 乘以 $2$ ,可得 +$$ +\begin{aligned} +S & = 2^0h + 2^1(h-1) + 2^2(h-2) + \cdots + 2^{h-1}\times1 \\ +2S & = 2^1h + 2^2(h-1) + 2^3(h-2) + \cdots + 2^{h}\times1 \\ +\end{aligned} +$$ +令下式 $2S$ 与上式 $S$ 错位相减,易得 +$$ +2S - S = S = -2^0h + 2^1 + 2^2 + \cdots + 2^{h-1} + 2^h +$$ +观察发现,$S$ 是一个等比数列,可直接借助公式求和。并且,对于高度为 $h$ 的完全二叉树,结点数量范围为 $n \in [2^h, 2^{h+1} - 1]$ ,复杂度为 $n = O(n) = O(2^h)$。 +$$ +\begin{aligned} +S & = 2 \frac{1 - 2^h}{1 - 2} - h \\ +& = 2^{h+1} - h \\ +& = O(2^h) = O(n) +\end{aligned} +$$ +以上推算表明,输入列表并建堆的时间复杂度为 $O(n)$ ,非常高效。 ## 堆常见应用 -- 优先队列。 -- 堆排序。 -- 获取数据 Top K 大(小)元素。 +- 优先队列。堆常作为实现优先队列的首选数据结构。 +- 堆排序。根据 +- 获取数据中最大的 $k$ 个元素。这即是一道经典的算法题目,也是一种实际应用 diff --git a/docs/chapter_stack_and_queue/deque.md b/docs/chapter_stack_and_queue/deque.md index 52b0540d5..4671d5c9e 100644 --- a/docs/chapter_stack_and_queue/deque.md +++ b/docs/chapter_stack_and_queue/deque.md @@ -18,16 +18,16 @@ comments: true
-| 方法 | 描述 | -| ------------ | ---------------- | -| offerFirst() | 将元素添加至队首 | -| offerLast() | 将元素添加至队尾 | -| pollFirst() | 删除队首元素 | -| pollLast() | 删除队尾元素 | -| peekFirst() | 访问队首元素 | -| peekLast() | 访问队尾元素 | -| size() | 获取队列的长度 | -| isEmpty() | 判断队列是否为空 | +| 方法 | 描述 | 时间复杂度 | +| ------------ | ---------------- | ---------- | +| offerFirst() | 将元素添加至队首 | $O(1)$ | +| offerLast() | 将元素添加至队尾 | $O(1)$ | +| pollFirst() | 删除队首元素 | $O(1)$ | +| pollLast() | 删除队尾元素 | $O(1)$ | +| peekFirst() | 访问队首元素 | $O(1)$ | +| peekLast() | 访问队尾元素 | $O(1)$ | +| size() | 获取队列的长度 | $O(1)$ | +| isEmpty() | 判断队列是否为空 | $O(1)$ |
@@ -196,5 +196,5 @@ comments: true === "Swift" ```swift title="deque.swift" - + ``` diff --git a/docs/chapter_stack_and_queue/queue.md b/docs/chapter_stack_and_queue/queue.md index ce47edb38..65ce56f07 100644 --- a/docs/chapter_stack_and_queue/queue.md +++ b/docs/chapter_stack_and_queue/queue.md @@ -20,13 +20,13 @@ comments: true
-| 方法 | 描述 | -| --------- | ---------------------------- | -| offer() | 元素入队,即将元素添加至队尾 | -| poll() | 队首元素出队 | -| front() | 访问队首元素 | -| size() | 获取队列的长度 | -| isEmpty() | 判断队列是否为空 | +| 方法 | 描述 | 时间复杂度 | +| --------- | ---------------------------- | ---------- | +| offer() | 元素入队,即将元素添加至队尾 | $O(1)$ | +| poll() | 队首元素出队 | $O(1)$ | +| front() | 访问队首元素 | $O(1)$ | +| size() | 获取队列的长度 | $O(1)$ | +| isEmpty() | 判断队列是否为空 | $O(1)$ |
@@ -231,7 +231,7 @@ comments: true === "Swift" ```swift title="queue.swift" - + ``` ## 队列实现 @@ -621,7 +621,7 @@ comments: true === "Swift" ```swift title="linkedlist_queue.swift" - + ``` ### 基于数组的实现 @@ -1030,7 +1030,7 @@ comments: true === "Swift" ```swift title="array_queue.swift" - + ``` ## 队列典型应用 diff --git a/docs/chapter_stack_and_queue/stack.md b/docs/chapter_stack_and_queue/stack.md index 374de7424..e5f67371a 100644 --- a/docs/chapter_stack_and_queue/stack.md +++ b/docs/chapter_stack_and_queue/stack.md @@ -22,13 +22,13 @@ comments: true
-| 方法 | 描述 | -| --------- | ---------------------- | -| push() | 元素入栈(添加至栈顶) | -| pop() | 栈顶元素出栈 | -| peek() | 访问栈顶元素 | -| size() | 获取栈的长度 | -| isEmpty() | 判断栈是否为空 | +| 方法 | 描述 | 时间复杂度 | +| --------- | ---------------------- | ---------- | +| push() | 元素入栈(添加至栈顶) | $O(1)$ | +| pop() | 栈顶元素出栈 | $O(1)$ | +| peek() | 访问栈顶元素 | $O(1)$ | +| size() | 获取栈的长度 | $O(1)$ | +| isEmpty() | 判断栈是否为空 | $O(1)$ |
@@ -231,7 +231,7 @@ comments: true === "Swift" ```swift title="stack.swift" - + ``` ## 栈的实现 @@ -600,7 +600,7 @@ comments: true === "Swift" ```swift title="linkedlist_stack.swift" - + ``` ### 基于数组的实现 @@ -885,7 +885,7 @@ comments: true === "Swift" ```swift title="array_stack.swift" - + ``` !!! tip diff --git a/docs/chapter_tree/summary.md b/docs/chapter_tree/summary.md index a46a253f9..15dc2f6d3 100644 --- a/docs/chapter_tree/summary.md +++ b/docs/chapter_tree/summary.md @@ -15,4 +15,4 @@ comments: true - 前序、中序、后序遍历是深度优先搜索,体现着“走到头、再回头继续”的回溯遍历方式,通常使用递归实现。 - 二叉搜索树是一种高效的元素查找数据结构,查找、插入、删除操作的时间复杂度皆为 $O(\log n)$ 。二叉搜索树退化为链表后,各项时间复杂度劣化至 $O(n)$ ,因此如何避免退化是非常重要的课题。 - AVL 树又称平衡二叉搜索树,其通过旋转操作,使得在不断插入与删除结点后,仍然可以保持二叉树的平衡(不退化)。 -- AVL 树的旋转操作分为右旋、左旋、先右旋后左旋、先左旋后右旋。在插入或删除结点后,AVL 树会从底置顶地执行旋转操作,使树恢复平衡。 +- AVL 树的旋转操作分为右旋、左旋、先右旋后左旋、先左旋后右旋。在插入或删除结点后,AVL 树会从底至顶地执行旋转操作,使树恢复平衡。 From 2d461b03a4bdc51b0e7185ae9446fb6442d0fe4d Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Mon, 9 Jan 2023 19:31:45 +0800 Subject: [PATCH 15/86] add zig codes for Section 'Space Complexity' and 'Space Time Tradeoff' --- codes/zig/build.zig | 95 +++++++------ .../space_complexity.zig | 125 ++++++++++++++++++ codes/zig/include/ListNode.zig | 20 +++ codes/zig/include/PrintUtil.zig | 69 +++++++++- codes/zig/include/TreeNode.zig | 21 +++ codes/zig/include/include.zig | 6 +- 6 files changed, 292 insertions(+), 44 deletions(-) create mode 100644 codes/zig/chapter_computational_complexity/space_complexity.zig create mode 100644 codes/zig/include/ListNode.zig create mode 100644 codes/zig/include/TreeNode.zig diff --git a/codes/zig/build.zig b/codes/zig/build.zig index b04b3fd18..e72ca4a53 100644 --- a/codes/zig/build.zig +++ b/codes/zig/build.zig @@ -1,46 +1,67 @@ +// File: build.zig +// Created Time: 2023-01-07 +// Author: sjinzh (sjinzh@gmail.com) + const std = @import("std"); -// zig version 0.10.0 +// Zig Version: 0.10.0 +// Zig Codes Build Command: zig build pub fn build(b: *std.build.Builder) void { const target = b.standardTargetOptions(.{}); const mode = b.standardReleaseOptions(); - // "chapter_computational_complexity/time_complexity.zig" - // Run Command: zig build run_time_complexity - const exe_time_complexity = b.addExecutable("time_complexity", "chapter_computational_complexity/time_complexity.zig"); - exe_time_complexity.addPackagePath("include", "include/include.zig"); - exe_time_complexity.setTarget(target); - exe_time_complexity.setBuildMode(mode); - exe_time_complexity.install(); - const run_cmd_time_complexity = exe_time_complexity.run(); - run_cmd_time_complexity.step.dependOn(b.getInstallStep()); - if (b.args) |args| run_cmd_time_complexity.addArgs(args); - const run_step_time_complexity = b.step("run_time_complexity", "Run time_complexity"); - run_step_time_complexity.dependOn(&run_cmd_time_complexity.step); + // Section: "Time Complexity" + // File: "chapter_computational_complexity/time_complexity.zig" + // Run Command: zig build run_time_complexity + const exe_time_complexity = b.addExecutable("time_complexity", "chapter_computational_complexity/time_complexity.zig"); + exe_time_complexity.addPackagePath("include", "include/include.zig"); + exe_time_complexity.setTarget(target); + exe_time_complexity.setBuildMode(mode); + exe_time_complexity.install(); + const run_cmd_time_complexity = exe_time_complexity.run(); + run_cmd_time_complexity.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_time_complexity.addArgs(args); + const run_step_time_complexity = b.step("run_time_complexity", "Run time_complexity"); + run_step_time_complexity.dependOn(&run_cmd_time_complexity.step); - // "chapter_computational_complexity/worst_best_time_complexity.zig" - // Run Command: zig build run_worst_best_time_complexity - const exe_worst_best_time_complexity = b.addExecutable("worst_best_time_complexity", "chapter_computational_complexity/worst_best_time_complexity.zig"); - exe_worst_best_time_complexity.addPackagePath("include", "include/include.zig"); - exe_worst_best_time_complexity.setTarget(target); - exe_worst_best_time_complexity.setBuildMode(mode); - exe_worst_best_time_complexity.install(); - const run_cmd_worst_best_time_complexity = exe_worst_best_time_complexity.run(); - run_cmd_worst_best_time_complexity.step.dependOn(b.getInstallStep()); - if (b.args) |args| run_cmd_worst_best_time_complexity.addArgs(args); - const run_step_worst_best_time_complexity = b.step("run_worst_best_time_complexity", "Run worst_best_time_complexity"); - run_step_worst_best_time_complexity.dependOn(&run_cmd_worst_best_time_complexity.step); + // File: "chapter_computational_complexity/worst_best_time_complexity.zig" + // Run Command: zig build run_worst_best_time_complexity + const exe_worst_best_time_complexity = b.addExecutable("worst_best_time_complexity", "chapter_computational_complexity/worst_best_time_complexity.zig"); + exe_worst_best_time_complexity.addPackagePath("include", "include/include.zig"); + exe_worst_best_time_complexity.setTarget(target); + exe_worst_best_time_complexity.setBuildMode(mode); + exe_worst_best_time_complexity.install(); + const run_cmd_worst_best_time_complexity = exe_worst_best_time_complexity.run(); + run_cmd_worst_best_time_complexity.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_worst_best_time_complexity.addArgs(args); + const run_step_worst_best_time_complexity = b.step("run_worst_best_time_complexity", "Run worst_best_time_complexity"); + run_step_worst_best_time_complexity.dependOn(&run_cmd_worst_best_time_complexity.step); - // "chapter_computational_complexity/leetcode_two_sum.zig" - // Run Command: zig build run_leetcode_two_sum - const exe_leetcode_two_sum = b.addExecutable("leetcode_two_sum", "chapter_computational_complexity/leetcode_two_sum.zig"); - exe_leetcode_two_sum.addPackagePath("include", "include/include.zig"); - exe_leetcode_two_sum.setTarget(target); - exe_leetcode_two_sum.setBuildMode(mode); - exe_leetcode_two_sum.install(); - const run_cmd_leetcode_two_sum = exe_leetcode_two_sum.run(); - run_cmd_leetcode_two_sum.step.dependOn(b.getInstallStep()); - if (b.args) |args| run_cmd_leetcode_two_sum.addArgs(args); - const run_step_leetcode_two_sum = b.step("run_leetcode_two_sum", "Run leetcode_two_sum"); - run_step_leetcode_two_sum.dependOn(&run_cmd_leetcode_two_sum.step); + // Section: "Space Complexity" + // File: "chapter_computational_complexity/space_complexity.zig" + // Run Command: zig build run_space_complexity + const exe_space_complexity = b.addExecutable("space_complexity", "chapter_computational_complexity/space_complexity.zig"); + exe_space_complexity.addPackagePath("include", "include/include.zig"); + exe_space_complexity.setTarget(target); + exe_space_complexity.setBuildMode(mode); + exe_space_complexity.install(); + const run_cmd_space_complexity = exe_space_complexity.run(); + run_cmd_space_complexity.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_space_complexity.addArgs(args); + const run_step_space_complexity = b.step("run_space_complexity", "Run space_complexity"); + run_step_space_complexity.dependOn(&run_cmd_space_complexity.step); + + // Section: "Space Time Tradeoff" + // File: "chapter_computational_complexity/leetcode_two_sum.zig" + // Run Command: zig build run_leetcode_two_sum + const exe_leetcode_two_sum = b.addExecutable("leetcode_two_sum", "chapter_computational_complexity/leetcode_two_sum.zig"); + exe_leetcode_two_sum.addPackagePath("include", "include/include.zig"); + exe_leetcode_two_sum.setTarget(target); + exe_leetcode_two_sum.setBuildMode(mode); + exe_leetcode_two_sum.install(); + const run_cmd_leetcode_two_sum = exe_leetcode_two_sum.run(); + run_cmd_leetcode_two_sum.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_leetcode_two_sum.addArgs(args); + const run_step_leetcode_two_sum = b.step("run_leetcode_two_sum", "Run leetcode_two_sum"); + run_step_leetcode_two_sum.dependOn(&run_cmd_leetcode_two_sum.step); } diff --git a/codes/zig/chapter_computational_complexity/space_complexity.zig b/codes/zig/chapter_computational_complexity/space_complexity.zig new file mode 100644 index 000000000..9798821a5 --- /dev/null +++ b/codes/zig/chapter_computational_complexity/space_complexity.zig @@ -0,0 +1,125 @@ +// File: space_complexity.zig +// Created Time: 2023-01-07 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// 函数 +fn function() i32 { + // do something + return 0; +} + +// 常数阶 +fn constant(n: i32) void { + // 常量、变量、对象占用 O(1) 空间 + const a: i32 = 0; + var b: i32 = 0; + var nums = [_]i32{0}**10000; + var node = inc.ListNode(i32){.val = 0}; + var i: i32 = 0; + // 循环中的变量占用 O(1) 空间 + while (i < n) : (i += 1) { + var c: i32 = 0; + _ = c; + } + // 循环中的函数占用 O(1) 空间 + i = 0; + while (i < n) : (i += 1) { + _ = function(); + } + _ = a; + _ = b; + _ = nums; + _ = node; +} + +// 线性阶 +fn linear(comptime n: i32) !void { + // 长度为 n 的数组占用 O(n) 空间 + var nums = [_]i32{0}**n; + // 长度为 n 的列表占用 O(n) 空间 + var nodes = std.ArrayList(i32).init(std.heap.page_allocator); + defer nodes.deinit(); + var i: i32 = 0; + while (i < n) : (i += 1) { + try nodes.append(i); + } + // 长度为 n 的哈希表占用 O(n) 空间 + var map = std.AutoArrayHashMap(i32, []const u8).init(std.heap.page_allocator); + defer map.deinit(); + var j: i32 = 0; + while (j < n) : (j += 1) { + const string = try std.fmt.allocPrint(std.heap.page_allocator, "{d}", .{j}); + defer std.heap.page_allocator.free(string); + try map.put(i, string); + } + _ = nums; +} + +// 线性阶(递归实现) +fn linearRecur(comptime n: i32) void { + std.debug.print("递归 n = {}\n", .{n}); + if (n == 1) return; + linearRecur(n - 1); +} + +// 平方阶 +fn quadratic(n: i32) !void { + // 二维列表占用 O(n^2) 空间 + var nodes = std.ArrayList(std.ArrayList(i32)).init(std.heap.page_allocator); + defer nodes.deinit(); + var i: i32 = 0; + while (i < n) : (i += 1) { + var tmp = std.ArrayList(i32).init(std.heap.page_allocator); + defer tmp.deinit(); + var j: i32 = 0; + while (j < n) : (j += 1) { + try tmp.append(0); + } + try nodes.append(tmp); + } +} + +// 平方阶(递归实现) +fn quadraticRecur(comptime n: i32) i32 { + if (n <= 0) return 0; + var nums = [_]i32{0}**n; + std.debug.print("递归 n = {} 中的 nums 长度 = {}\n", .{n, nums.len}); + return quadraticRecur(n - 1); +} + +// 指数阶(建立满二叉树) +fn buildTree(mem_allocator: std.mem.Allocator, n: i32) !?*inc.TreeNode(i32) { + if (n == 0) return null; + const root = try mem_allocator.create(inc.TreeNode(i32)); + root.init(0); + root.left = try buildTree(mem_allocator, n - 1); + root.right = try buildTree(mem_allocator, n - 1); + return root; +} + +// Driver Code +pub fn main() !void { + const n: i32 = 5; + // 常数阶 + constant(n); + // 线性阶 + try linear(n); + linearRecur(n); + // 平方阶 + try quadratic(n); + _ = quadraticRecur(n); + // 指数阶 + var mem_arena = std.heap.ArenaAllocator.init(std.heap.page_allocator); + defer mem_arena.deinit(); + var root = blk_root: { + const mem_allocator = mem_arena.allocator(); + break :blk_root try buildTree(mem_allocator, n); + }; + try inc.PrintUtil.printTree(root, null, false); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} \ No newline at end of file diff --git a/codes/zig/include/ListNode.zig b/codes/zig/include/ListNode.zig new file mode 100644 index 000000000..8ce01d3ed --- /dev/null +++ b/codes/zig/include/ListNode.zig @@ -0,0 +1,20 @@ +// File: ListNode.zig +// Created Time: 2023-01-07 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); + +// Definition for a singly-linked list node +pub fn ListNode(comptime T: type) type { + return struct { + const Self = @This(); + + val: T = 0, + next: ?*Self = null, + + // Initialize a list node with specific value + pub fn init(self: *Self, x: i32) void { + self.val = x; + } + }; +} \ No newline at end of file diff --git a/codes/zig/include/PrintUtil.zig b/codes/zig/include/PrintUtil.zig index 5adac2a6e..8a7dca7af 100644 --- a/codes/zig/include/PrintUtil.zig +++ b/codes/zig/include/PrintUtil.zig @@ -1,13 +1,72 @@ -// File: TreeNode.zig +// File: PrintUtil.zig // Created Time: 2023-01-07 // Author: sjinzh (sjinzh@gmail.com) const std = @import("std"); +const ListNode = @import("ListNode.zig").ListNode; +const TreeNode = @import("TreeNode.zig").TreeNode; -// Print an Array +// Print an array pub fn printArray(comptime T: type, nums: []T) void { std.debug.print("[", .{}); - for (nums) |num, j| { - std.debug.print("{}{s}", .{num, if (j == nums.len-1) "]\n" else ", " }); - } + if (nums.len > 0) { + for (nums) |num, j| { + std.debug.print("{}{s}", .{num, if (j == nums.len-1) "]\n" else ", " }); + } + } else { + std.debug.print("]", .{}); + std.debug.print("\n", .{}); + } } + +// This tree printer is borrowed from TECHIE DELIGHT +// https://www.techiedelight.com/c-program-print-binary-tree/ +const Trunk = struct { + prev: ?*Trunk = null, + str: []const u8 = undefined, + + pub fn init(self: *Trunk, prev: ?*Trunk, str: []const u8) void { + self.prev = prev; + self.str = str; + } +}; + +// Helper function to print branches of the binary tree +pub fn showTrunks(p: ?*Trunk) void { + if (p == null) return; + showTrunks(p.?.prev); + std.debug.print("{s}", .{p.?.str}); +} + +// The interface of the tree printer +// Print a binary tree +pub fn printTree(root: ?*TreeNode(i32), prev: ?*Trunk, isLeft: bool) !void { + if (root == null) { + return; + } + + var prev_str = " "; + var trunk = Trunk{.prev = prev, .str = prev_str}; + + try printTree(root.?.right, &trunk, true); + + if (prev == null) { + trunk.str = "———"; + } else if (isLeft) { + trunk.str = "/———"; + prev_str = " |"; + } else { + trunk.str = "\\———"; + prev.?.str = prev_str; + } + + showTrunks(&trunk); + std.debug.print(" {}\n", .{root.?.val}); + + if (prev) |_| { + prev.?.str = prev_str; + } + trunk.str = " |"; + + try printTree(root.?.left, &trunk, false); +} \ No newline at end of file diff --git a/codes/zig/include/TreeNode.zig b/codes/zig/include/TreeNode.zig new file mode 100644 index 000000000..9bd51ba3d --- /dev/null +++ b/codes/zig/include/TreeNode.zig @@ -0,0 +1,21 @@ +// File: TreeNode.zig +// Created Time: 2023-01-07 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); + +// Definition for a binary tree node +pub fn TreeNode(comptime T: type) type { + return struct { + const Self = @This(); + + val: T = undefined, + left: ?*Self = null, + right: ?*Self = null, + + // Initialize a tree node with specific value + pub fn init(self: *Self, x: i32) void { + self.val = x; + } + }; +} \ No newline at end of file diff --git a/codes/zig/include/include.zig b/codes/zig/include/include.zig index b4f347821..20dfca90f 100644 --- a/codes/zig/include/include.zig +++ b/codes/zig/include/include.zig @@ -1,5 +1,7 @@ // File: include.zig -// Created Time: 2023-01-04 +// Created Time: 2023-01-07 // Author: sjinzh (sjinzh@gmail.com) -pub const PrintUtil = @import("PrintUtil.zig"); \ No newline at end of file +pub const PrintUtil = @import("PrintUtil.zig"); +pub const ListNode = @import("ListNode.zig").ListNode; +pub const TreeNode = @import("TreeNode.zig").TreeNode; \ No newline at end of file From f1eedc369bf5345e73470d25306a27a683346683 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Tue, 10 Jan 2023 02:21:09 +0800 Subject: [PATCH 16/86] Update heap --- docs/chapter_heap/heap.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/docs/chapter_heap/heap.md b/docs/chapter_heap/heap.md index 03a485f99..dd3598a2b 100644 --- a/docs/chapter_heap/heap.md +++ b/docs/chapter_heap/heap.md @@ -253,6 +253,6 @@ $$ ## 堆常见应用 -- 优先队列。堆常作为实现优先队列的首选数据结构。 -- 堆排序。根据 -- 获取数据中最大的 $k$ 个元素。这即是一道经典的算法题目,也是一种实际应用 +- **优先队列**。堆常作为实现优先队列的首选数据结构,入队和出队操作时间复杂度为 $O(\log n)$ ,建队操作为 $O(n)$ ,皆非常高效。 +- **堆排序**。给定一组数据,我们使用其建堆,并依次全部弹出,则可以得到有序的序列。当然,堆排序一般无需弹出元素,仅需每轮将堆顶元素交换至数组尾部并减小堆的长度即可。 +- **获取最大的 $k$ 个元素**。这既是一道经典算法题目,也是一种常见应用,例如选取热度前 10 的新闻作为微博热搜,选取前 10 销量的商品等。 From bbd915d70656d0e95562fea81d827e1be7f1a171 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Tue, 10 Jan 2023 03:42:24 +0800 Subject: [PATCH 17/86] Update heap. --- mkdocs.yml | 2 ++ 1 file changed, 2 insertions(+) diff --git a/mkdocs.yml b/mkdocs.yml index 9ddae9f39..ad836ae9f 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -161,6 +161,8 @@ nav: - 二叉搜索树: chapter_tree/binary_search_tree.md - AVL 树 *: chapter_tree/avl_tree.md - 小结: chapter_tree/summary.md + - 堆: + - 堆(Heap): chapter_heap/heap.md - 查找算法: - 线性查找: chapter_searching/linear_search.md - 二分查找: chapter_searching/binary_search.md From 5ab3513b5a8df6ecc95839006d1e2318fd382dd4 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Tue, 10 Jan 2023 03:42:43 +0800 Subject: [PATCH 18/86] Update heap --- codes/java/chapter_heap/my_heap.java | 2 +- docs/chapter_heap/heap.md | 311 +++++++++++++++------------ 2 files changed, 171 insertions(+), 142 deletions(-) diff --git a/codes/java/chapter_heap/my_heap.java b/codes/java/chapter_heap/my_heap.java index 89f5c6e23..8fd748217 100644 --- a/codes/java/chapter_heap/my_heap.java +++ b/codes/java/chapter_heap/my_heap.java @@ -108,7 +108,7 @@ class MaxHeap { /* 从结点 i 开始,从顶至底堆化 */ private void siftDown(int i) { while (true) { - // 判断结点 i, l, r 中值最大的结点,记为 ma ; + // 判断结点 i, l, r 中值最大的结点,记为 ma int l = left(i), r = right(i), ma = i; if (l < size() && maxHeap.get(l) > maxHeap.get(ma)) ma = l; diff --git a/docs/chapter_heap/heap.md b/docs/chapter_heap/heap.md index dd3598a2b..f41826159 100644 --- a/docs/chapter_heap/heap.md +++ b/docs/chapter_heap/heap.md @@ -1,21 +1,29 @@ +--- +comments: true +--- + # 堆 -「堆 Heap」是一种特殊的树状数据结构,并且是一颗「完全二叉树」。堆主要分为两种: +「堆 Heap」是一颗限定条件下的「完全二叉树」。根据成立条件,堆主要分为两种类型: -- 「大顶堆 Max Heap」,任意结点的值 $\geq$ 其子结点的值,因此根结点的值最大; -- 「小顶堆 Min Heap」,任意结点的值 $\leq$ 其子结点的值,因此根结点的值最小; +- 「大顶堆 Max Heap」,任意结点的值 $\geq$ 其子结点的值; +- 「小顶堆 Min Heap」,任意结点的值 $\leq$ 其子结点的值; + +由于堆是完全二叉树,因此最底层结点靠左填充,其它层结点皆被填满。 + +对于大顶堆(小顶堆),其根结点的值最大(最小)。根结点被称为「堆顶」。 (图) -!!! tip "" +!!! tip - 大顶堆和小顶堆的定义、性质、操作本质上是相同的,区别只是大顶堆在求最大值,小顶堆在求最小值。 + 大顶堆和小顶堆的定义、性质、操作本质上是相同的,区别只是大、小顶堆分别在求最大、最小值。若无特别说明,本文将使用大顶堆来举例。 ## 堆常用操作 值得说明的是,多数编程语言提供的是「优先队列 Priority Queue」,其是一种抽象数据结构,**定义为具有出队优先级的队列**。 -而恰好,堆的定义与优先队列的操作逻辑完全吻合,大顶堆就是一个元素从大到小出队的优先队列。从使用角度看,我们可以将「优先队列」和「堆」理解为等价的数据结构。因此,本文与代码对两者不做特别区分,统一使用「堆」来命名。 +而恰好,**堆的定义与优先队列的操作逻辑完全吻合**,大顶堆就是一个元素从大到小出队的优先队列。从使用角度看,我们可以将「优先队列」和「堆」理解为等价的数据结构。因此,本文与代码对两者不做特别区分,统一使用「堆」来命名。 堆的常用操作见下表(方法命名以 Java 为例)。 @@ -35,36 +43,37 @@ 我们可以直接使用编程语言提供的堆类(或优先队列类)。 -```java -/* 初始化堆 */ -// 初始化小顶堆 -Queue minHeap = new PriorityQueue<>(); -// 初始化大顶堆(使用 lambda 表达式修改 Comparator 即可) -Queue maxHeap = new PriorityQueue<>((a, b) -> { return b - a; }); +=== "Java" -/* 元素入堆 */ -maxHeap.add(1); -maxHeap.add(3); -maxHeap.add(2); -maxHeap.add(5); -maxHeap.add(4); - -/* 获取堆顶元素 */ -int peek = maxHeap.peek(); - -/* 堆顶元素出堆 */ -int val = heap.poll(); - -/* 获取堆大小 */ -int size = maxHeap.size(); - -/* 判断堆是否为空 */ -boolean isEmpty = maxHeap.isEmpty(); - -/* 输入列表并建堆 */ -// 时间复杂度为 O(n) ,而非 O(nlogn) -minHeap = new PriorityQueue<>(Arrays.asList(1, 3, 2, 5, 4)); -``` + ```java title="heap.java" + /* 初始化堆 */ + // 初始化小顶堆 + Queue minHeap = new PriorityQueue<>(); + // 初始化大顶堆(使用 lambda 表达式修改 Comparator 即可) + Queue maxHeap = new PriorityQueue<>((a, b) -> { return b - a; }); + + /* 元素入堆 */ + maxHeap.add(1); + maxHeap.add(3); + maxHeap.add(2); + maxHeap.add(5); + maxHeap.add(4); + + /* 获取堆顶元素 */ + int peek = maxHeap.peek(); + + /* 堆顶元素出堆 */ + int val = heap.poll(); + + /* 获取堆大小 */ + int size = maxHeap.size(); + + /* 判断堆是否为空 */ + boolean isEmpty = maxHeap.isEmpty(); + + /* 输入列表并建堆 */ + minHeap = new PriorityQueue<>(Arrays.asList(1, 3, 2, 5, 4)); + ``` ## 堆的实现 @@ -76,151 +85,165 @@ minHeap = new PriorityQueue<>(Arrays.asList(1, 3, 2, 5, 4)); 在二叉树章节我们学过,「完全二叉树」非常适合使用「数组」来表示,而堆恰好是一颗完全二叉树,因而我们一般使用「数组」来存储「堆」。 -**二叉树指针**。使用数组表示二叉树时,数组元素都代表结点值,索引代表结点在二叉树中的位置,**结点指针通过索引映射公式来实现**。具体地,给定索引 $i$ ,那么其左子结点索引为 $2i + 1$ 、右子结点索引为 $2i + 2$ 、父结点索引为 $(i - 1) / 2$ (向下整除)。当索引越界时,代表空结点或结点不存在。我们将以上映射公式封装成函数,以便使用。 +**二叉树指针**。使用数组表示二叉树时,元素代表结点值,索引代表结点在二叉树中的位置,**而结点指针通过索引映射公式来实现**。 + +具体地,给定索引 $i$ ,那么其左子结点索引为 $2i + 1$ 、右子结点索引为 $2i + 2$ 、父结点索引为 $(i - 1) / 2$ (向下整除)。当索引越界时,代表空结点或结点不存在。我们将以上映射公式封装成函数,以便后续使用。 (图) -```java -// 使用列表而非数组,这样无需考虑扩容问题 -List maxHeap; +=== "Java" -/* 构造函数,建立空堆 */ -public MaxHeap() { - maxHeap = new ArrayList<>(); -} - -/* 获取左子结点索引 */ -int left(int i) { - return 2 * i + 1; -} - -/* 获取右子结点索引 */ -int right(int i) { - return 2 * i + 2; -} - -/* 获取父结点索引 */ -int parent(int i) { - return (i - 1) / 2; // 向下整除 -} -``` + ```java title="my_heap.java" + // 使用列表而非数组,这样无需考虑扩容问题 + List maxHeap; + + /* 构造函数,建立空堆 */ + public MaxHeap() { + maxHeap = new ArrayList<>(); + } + + /* 获取左子结点索引 */ + int left(int i) { + return 2 * i + 1; + } + + /* 获取右子结点索引 */ + int right(int i) { + return 2 * i + 2; + } + + /* 获取父结点索引 */ + int parent(int i) { + return (i - 1) / 2; // 向下整除 + } + ``` ### 访问堆顶元素 堆顶元素是二叉树的根结点,即列表首元素。 -```java -/* 访问堆顶元素 */ -public int peek() { - return maxHeap.get(0); -} -``` +=== "Java" + + ```java title="my_heap.java" + /* 访问堆顶元素 */ + public int peek() { + return maxHeap.get(0); + } + ``` ### 元素入堆 -给定元素 `val` ,我们先将其添加到堆的末尾。由于 `val` 可能大于其它元素,此时堆的性质可能被破坏了,我们需要修复从插入结点到根结点这条路径上的各个结点,该操作被称为「堆化 Heapify」。 +给定元素 `val` ,我们先将其添加到堆的末尾。由于 `val` 可能大于堆中其它元素,此时堆的成立条件可能已经被破坏,**因此需要修复从插入结点到根结点这条路径上的各个结点**,该操作被称为「堆化 Heapify」。 考虑从入堆结点开始,**从底至顶执行堆化**。具体地,比较插入结点与其父结点的值,若插入结点更大则将它们交换;并循环以上操作,从底至顶地修复堆中的各个结点;直至越过根结点时结束,或当遇到无需交换的结点时提前结束。 -设堆长度为 $n$ ,**元素入堆操作的时间复杂度为 $O(\log n)$** 。这是因为树的高度为 $O(\log n)$ ,因此堆化操作的循环轮数最多为 $O(\log n)$ 。 +设结点总数为 $n$ ,则树的高度为 $O(\log n)$ ,易得堆化操作的循环轮数最多为 $O(\log n)$ ,**因而元素入堆操作的时间复杂度为 $O(\log n)$** 。 (图) -```java -/* 元素入堆 */ -void push(int val) { - // 添加结点 - maxHeap.add(val); - // 从底至顶堆化 - siftUp(size() - 1); -} +=== "Java" -/* 从结点 i 开始,从底至顶堆化 */ -void siftUp(int i) { - while (true) { - // 获取结点 i 的父结点 - int p = parent(i); - // 若“越过根结点”或“结点无需修复”,则结束堆化 - if (p < 0 || maxHeap.get(i) <= maxHeap.get(p)) - break; - // 交换两结点 - swap(i, p); - // 循环向上堆化 - i = p; + ```java title="my_heap.java" + /* 元素入堆 */ + void push(int val) { + // 添加结点 + maxHeap.add(val); + // 从底至顶堆化 + siftUp(size() - 1); } -} -``` + + /* 从结点 i 开始,从底至顶堆化 */ + void siftUp(int i) { + while (true) { + // 获取结点 i 的父结点 + int p = parent(i); + // 若“越过根结点”或“结点无需修复”,则结束堆化 + if (p < 0 || maxHeap.get(i) <= maxHeap.get(p)) + break; + // 交换两结点 + swap(i, p); + // 循环向上堆化 + i = p; + } + } + ``` ### 堆顶元素出堆 -堆顶元素是二叉树根结点,即列表首元素,如果我们直接将首元素从列表中删除,则二叉树中所有结点都产生移位,这样后续使用堆化修复就很麻烦了。为了尽量减少二叉树结点变动,采取以下操作步骤: +堆顶元素是二叉树根结点,即列表首元素,如果我们直接将首元素从列表中删除,则二叉树中所有结点都会随之发生移位(索引发生变化),这样后续使用堆化修复就很麻烦了。为了尽量减少元素索引变动,采取以下操作步骤: 1. 交换列表首元素与尾元素(即交换根结点与最右叶结点); -2. 将尾元素从列表中删除(此时堆顶元素已被删除); +2. 交换完成后,将尾元素从列表中删除(此时堆顶元素已被删除); 3. 从根结点开始,从顶至底堆化; 顾名思义,**从顶至底堆化的操作方向与从底至顶堆化相反**,我们比较根结点的值与其两个子结点的值,将最大的子结点与根结点执行交换,并循环以上操作,直到越过叶结点时结束,或当遇到无需交换的结点时提前结束。 (图) -```java -/* 元素出堆 */ -int poll() { - // 判空处理 - if (isEmpty()) - throw new EmptyStackException(); - // 交换根结点与最右叶结点(即交换首元素与尾元素) - swap(0, size() - 1); - // 删除结点 - int val = maxHeap.remove(size() - 1); - // 从顶至底堆化 - siftDown(0); - // 返回堆顶元素 - return val; -} +=== "Java" -/* 从结点 i 开始,从顶至底堆化 */ -void siftDown(int i) { - while (true) { - // 判断结点 i, l, r 中值最大的结点,记为 ma ; - int l = left(i), r = right(i), ma = i; - if (l < size() && maxHeap.get(l) > maxHeap.get(ma)) - ma = l; - if (r < size() && maxHeap.get(r) > maxHeap.get(ma)) - ma = r; - // 若“结点 i 最大”或“越过叶结点”,则结束堆化 - if (ma == i) break; - // 交换两结点 - swap(i, ma); - // 循环向下堆化 - i = ma; + ```java title="my_heap.java" + /* 元素出堆 */ + int poll() { + // 判空处理 + if (isEmpty()) + throw new EmptyStackException(); + // 交换根结点与最右叶结点(即交换首元素与尾元素) + swap(0, size() - 1); + // 删除结点 + int val = maxHeap.remove(size() - 1); + // 从顶至底堆化 + siftDown(0); + // 返回堆顶元素 + return val; } -} -``` + + /* 从结点 i 开始,从顶至底堆化 */ + void siftDown(int i) { + while (true) { + // 判断结点 i, l, r 中值最大的结点,记为 ma + int l = left(i), r = right(i), ma = i; + if (l < size() && maxHeap.get(l) > maxHeap.get(ma)) + ma = l; + if (r < size() && maxHeap.get(r) > maxHeap.get(ma)) + ma = r; + // 若“结点 i 最大”或“越过叶结点”,则结束堆化 + if (ma == i) break; + // 交换两结点 + swap(i, ma); + // 循环向下堆化 + i = ma; + } + } + ``` ### 输入数据并建堆 * -给定一个列表,我们也可以将其建堆。最直接地,可以通过调用「元素入堆」方法,将列表元素依次入堆。元素入堆的时间复杂度为 $O(n)$ ,而平均长度为 $\frac{n}{2}$ ,因此该方法的总体时间复杂度为 $O(n \log n)$ 。 +如果我们想要直接输入一个列表并将其建堆,那么该怎么做呢?最直接地,考虑使用「元素入堆」方法,将列表元素依次入堆。元素入堆的时间复杂度为 $O(n)$ ,而平均长度为 $\frac{n}{2}$ ,因此该方法的总体时间复杂度为 $O(n \log n)$ 。 -然而,存在一种更加优雅的建堆方法。设结点数量为 $n$ ,我们先将列表所有元素原封不动添加进堆,**然后迭代地对各个结点执行「从顶至底堆化」**。当然,**无需对叶结点执行堆化,**因为其没有子结点。 +然而,存在一种更加优雅的建堆方法。设结点数量为 $n$ ,我们先将列表所有元素原封不动添加进堆,**然后迭代地对各个结点执行「从顶至底堆化」**。当然,**无需对叶结点执行堆化**,因为其没有子结点。 -```java -/* 构造函数,根据输入列表建堆 */ -public MaxHeap(List nums) { - // 将列表元素原封不动添加进堆 - maxHeap = new ArrayList<>(nums); - // 堆化除叶结点以外的其他所有结点 - for (int i = parent(size() - 1); i >= 0; i--) { - siftDown(i); +=== "Java" + + ```java title="my_heap.java" + /* 构造函数,根据输入列表建堆 */ + public MaxHeap(List nums) { + // 将列表元素原封不动添加进堆 + maxHeap = new ArrayList<>(nums); + // 堆化除叶结点以外的其他所有结点 + for (int i = parent(size() - 1); i >= 0; i--) { + siftDown(i); + } } -} -``` + ``` !!! tip - 完全二叉树的叶结点数量为 $(n + 1) / 2$ ,其中 $/$ 为向下整除。 + 完全二叉树中,设结点总数为 $n$ ,则叶结点数量为 $(n + 1) / 2$ ,其中 $/$ 为向下整除。 -那么,第二种建堆方法的时间复杂度时多少呢?我们来做一下简单推算。叶结点和需要堆化结点的数量各占约一半,即为 $O(n)$ ,二叉树高度为 $O(\log n)$ ,可得时间复杂度为 $O(n \log n)$ 。该估算结果仍不够准确,因为我们没有考虑到二叉树“底层结点远多于顶层结点”的性质。 +那么,第二种建堆方法的时间复杂度时多少呢?我们来做一下简单推算。排除叶结点后,需要堆化结点数量为 $(n - 1)/2$ ,即为 $O(n)$ ,而二叉树高度为 $O(\log n)$ ,因此可得时间复杂度为 $O(n \log n)$ 。 + +然而,该估算结果仍不够准确,因为我们没有考虑到 **二叉树底层结点远多于顶层结点** 的特点。下面我们来换种方法推导。 设二叉树(即堆)结点数量为 $n$ ,树高度为 $h$ 。如下图所示,我们将各层的“结点数量 $\times$ 子树高度”进行求和,即可得到准确的操作数量。 @@ -231,24 +254,30 @@ $$ (图) 求解上式需要借助中学的数列知识,先对 $S$ 乘以 $2$ ,可得 + $$ \begin{aligned} -S & = 2^0h + 2^1(h-1) + 2^2(h-2) + \cdots + 2^{h-1}\times1 \\ -2S & = 2^1h + 2^2(h-1) + 2^3(h-2) + \cdots + 2^{h}\times1 \\ +S & = 2^0h + 2^1(h-1) + 2^2(h-2) + \cdots + 2^{h-1}\times1 \newline +2S & = 2^1h + 2^2(h-1) + 2^3(h-2) + \cdots + 2^{h}\times1 \newline \end{aligned} $$ + 令下式 $2S$ 与上式 $S$ 错位相减,易得 + $$ 2S - S = S = -2^0h + 2^1 + 2^2 + \cdots + 2^{h-1} + 2^h $$ + 观察发现,$S$ 是一个等比数列,可直接借助公式求和。并且,对于高度为 $h$ 的完全二叉树,结点数量范围为 $n \in [2^h, 2^{h+1} - 1]$ ,复杂度为 $n = O(n) = O(2^h)$。 + $$ \begin{aligned} -S & = 2 \frac{1 - 2^h}{1 - 2} - h \\ -& = 2^{h+1} - h \\ +S & = 2 \frac{1 - 2^h}{1 - 2} - h \newline +& = 2^{h+1} - h \newline & = O(2^h) = O(n) \end{aligned} $$ + 以上推算表明,输入列表并建堆的时间复杂度为 $O(n)$ ,非常高效。 ## 堆常见应用 From 47f017177bad4faa8582c635772f9b64a2861584 Mon Sep 17 00:00:00 2001 From: nuomi1 Date: Mon, 9 Jan 2023 23:02:22 +0800 Subject: [PATCH 19/86] feat: add Swift codes for stack article --- codes/swift/Package.swift | 6 + .../chapter_stack_and_queue/array_stack.swift | 84 +++++++++++++ .../linkedlist_stack.swift | 93 ++++++++++++++ .../swift/chapter_stack_and_queue/stack.swift | 39 ++++++ docs/chapter_stack_and_queue/stack.md | 116 ++++++++++++++++++ 5 files changed, 338 insertions(+) create mode 100644 codes/swift/chapter_stack_and_queue/array_stack.swift create mode 100644 codes/swift/chapter_stack_and_queue/linkedlist_stack.swift create mode 100644 codes/swift/chapter_stack_and_queue/stack.swift diff --git a/codes/swift/Package.swift b/codes/swift/Package.swift index 3a5a18ed3..6d6eaa8a5 100644 --- a/codes/swift/Package.swift +++ b/codes/swift/Package.swift @@ -13,6 +13,9 @@ let package = Package( .executable(name: "linked_list", targets: ["linked_list"]), .executable(name: "list", targets: ["list"]), .executable(name: "my_list", targets: ["my_list"]), + .executable(name: "stack", targets: ["stack"]), + .executable(name: "linkedlist_stack", targets: ["linkedlist_stack"]), + .executable(name: "array_stack", targets: ["array_stack"]), ], targets: [ .target(name: "utils", path: "utils"), @@ -24,5 +27,8 @@ let package = Package( .executableTarget(name: "linked_list", dependencies: ["utils"], path: "chapter_array_and_linkedlist", sources: ["linked_list.swift"]), .executableTarget(name: "list", path: "chapter_array_and_linkedlist", sources: ["list.swift"]), .executableTarget(name: "my_list", path: "chapter_array_and_linkedlist", sources: ["my_list.swift"]), + .executableTarget(name: "stack", path: "chapter_stack_and_queue", sources: ["stack.swift"]), + .executableTarget(name: "linkedlist_stack", dependencies: ["utils"], path: "chapter_stack_and_queue", sources: ["linkedlist_stack.swift"]), + .executableTarget(name: "array_stack", path: "chapter_stack_and_queue", sources: ["array_stack.swift"]), ] ) diff --git a/codes/swift/chapter_stack_and_queue/array_stack.swift b/codes/swift/chapter_stack_and_queue/array_stack.swift new file mode 100644 index 000000000..faeeaa173 --- /dev/null +++ b/codes/swift/chapter_stack_and_queue/array_stack.swift @@ -0,0 +1,84 @@ +/** + * File: array_stack.swift + * Created Time: 2023-01-09 + * Author: nuomi1 (nuomi1@qq.com) + */ + +/* 基于数组实现的栈 */ +class ArrayStack { + private var stack: [Int] + + init() { + // 初始化列表(动态数组) + stack = [] + } + + /* 获取栈的长度 */ + func size() -> Int { + stack.count + } + + /* 判断栈是否为空 */ + func isEmpty() -> Bool { + stack.isEmpty + } + + /* 入栈 */ + func push(num: Int) { + stack.append(num) + } + + /* 出栈 */ + func pop() -> Int { + if stack.isEmpty { + fatalError("栈为空") + } + return stack.removeLast() + } + + /* 访问栈顶元素 */ + func peek() -> Int { + if stack.isEmpty { + fatalError("栈为空") + } + return stack.last! + } + + /* 将 List 转化为 Array 并返回 */ + func toArray() -> [Int] { + stack + } +} + +@main +enum _ArrayStack { + /* Driver Code */ + static func main() { + /* 初始化栈 */ + let stack = ArrayStack() + + /* 元素入栈 */ + stack.push(num: 1) + stack.push(num: 3) + stack.push(num: 2) + stack.push(num: 5) + stack.push(num: 4) + print("栈 stack = \(stack.toArray())") + + /* 访问栈顶元素 */ + let peek = stack.peek() + print("栈顶元素 peek = \(peek)") + + /* 元素出栈 */ + let pop = stack.pop() + print("出栈元素 pop = \(pop),出栈后 stack = \(stack.toArray())") + + /* 获取栈的长度 */ + let size = stack.size() + print("栈的长度 size = \(size)") + + /* 判断是否为空 */ + let isEmpty = stack.isEmpty() + print("栈是否为空 = \(isEmpty)") + } +} diff --git a/codes/swift/chapter_stack_and_queue/linkedlist_stack.swift b/codes/swift/chapter_stack_and_queue/linkedlist_stack.swift new file mode 100644 index 000000000..9d3c98b01 --- /dev/null +++ b/codes/swift/chapter_stack_and_queue/linkedlist_stack.swift @@ -0,0 +1,93 @@ +/** + * File: linkedlist_stack.swift + * Created Time: 2023-01-09 + * Author: nuomi1 (nuomi1@qq.com) + */ + +import utils + +/* 基于链表实现的栈 */ +class LinkedListStack { + private var _peek: ListNode? // 将头结点作为栈顶 + private var _size = 0 // 栈的长度 + + init() {} + + /* 获取栈的长度 */ + func size() -> Int { + _size + } + + /* 判断栈是否为空 */ + func isEmpty() -> Bool { + _size == 0 + } + + /* 入栈 */ + func push(num: Int) { + let node = ListNode(x: num) + node.next = _peek + _peek = node + _size += 1 + } + + /* 出栈 */ + func pop() -> Int { + let num = peek() + _peek = _peek?.next + _size -= 1 + return num + } + + /* 访问栈顶元素 */ + func peek() -> Int { + if _size == 0 { + fatalError("栈为空") + } + return _peek!.val + } + + /* 将 List 转化为 Array 并返回 */ + func toArray() -> [Int] { + var node = _peek + var res = Array(repeating: 0, count: _size) + for i in sequence(first: res.count - 1, next: { $0 >= 0 + 1 ? $0 - 1 : nil }) { + res[i] = node!.val + node = node?.next + } + return res + } +} + +@main +enum _LinkedListStack { + /* Driver Code */ + static func main() { + /* 初始化栈 */ + let stack = LinkedListStack() + + /* 元素入栈 */ + stack.push(num: 1) + stack.push(num: 3) + stack.push(num: 2) + stack.push(num: 5) + stack.push(num: 4) + print("栈 stack = \(stack.toArray())") + + /* 访问栈顶元素 */ + let peek = stack.peek() + print("栈顶元素 peek = \(peek)") + + /* 元素出栈 */ + let pop = stack.pop() + print("出栈元素 pop = \(pop),出栈后 stack = \(stack.toArray())") + + /* 获取栈的长度 */ + let size = stack.size() + print("栈的长度 size = \(size)") + + /* 判断是否为空 */ + let isEmpty = stack.isEmpty() + print("栈是否为空 = \(isEmpty)") + } +} diff --git a/codes/swift/chapter_stack_and_queue/stack.swift b/codes/swift/chapter_stack_and_queue/stack.swift new file mode 100644 index 000000000..c6b8bc184 --- /dev/null +++ b/codes/swift/chapter_stack_and_queue/stack.swift @@ -0,0 +1,39 @@ +/** + * File: stack.swift + * Created Time: 2023-01-09 + * Author: nuomi1 (nuomi1@qq.com) + */ + +@main +enum Stack { + /* Driver Code */ + static func main() { + /* 初始化栈 */ + // Swift 没有内置的栈类,可以把 Array 当作栈来使用 + var stack: [Int] = [] + + /* 元素入栈 */ + stack.append(1) + stack.append(3) + stack.append(2) + stack.append(5) + stack.append(4) + print("栈 stack = \(stack)") + + /* 访问栈顶元素 */ + let peek = stack.last! + print("栈顶元素 peek = \(peek)") + + /* 元素出栈 */ + let pop = stack.removeLast() + print("出栈元素 pop = \(pop),出栈后 stack = \(stack)") + + /* 获取栈的长度 */ + let size = stack.count + print("栈的长度 size = \(size)") + + /* 判断是否为空 */ + let isEmpty = stack.isEmpty + print("栈是否为空 = \(isEmpty)") + } +} diff --git a/docs/chapter_stack_and_queue/stack.md b/docs/chapter_stack_and_queue/stack.md index d5a3f9164..04825695c 100644 --- a/docs/chapter_stack_and_queue/stack.md +++ b/docs/chapter_stack_and_queue/stack.md @@ -231,7 +231,28 @@ comments: true === "Swift" ```swift title="stack.swift" + /* 初始化栈 */ + // Swift 没有内置的栈类,可以把 Array 当作栈来使用 + var stack: [Int] = [] + /* 元素入栈 */ + stack.append(1) + stack.append(3) + stack.append(2) + stack.append(5) + stack.append(4) + + /* 访问栈顶元素 */ + let peek = stack.last! + + /* 元素出栈 */ + let pop = stack.removeLast() + + /* 获取栈的长度 */ + let size = stack.count + + /* 判断是否为空 */ + let isEmpty = stack.isEmpty ``` ## 栈的实现 @@ -606,7 +627,58 @@ comments: true === "Swift" ```swift title="linkedlist_stack.swift" + /* 基于链表实现的栈 */ + class LinkedListStack { + private var _peek: ListNode? // 将头结点作为栈顶 + private var _size = 0 // 栈的长度 + init() {} + + /* 获取栈的长度 */ + func size() -> Int { + _size + } + + /* 判断栈是否为空 */ + func isEmpty() -> Bool { + _size == 0 + } + + /* 入栈 */ + func push(num: Int) { + let node = ListNode(x: num) + node.next = _peek + _peek = node + _size += 1 + } + + /* 出栈 */ + func pop() -> Int { + let num = peek() + _peek = _peek?.next + _size -= 1 + return num + } + + /* 访问栈顶元素 */ + func peek() -> Int { + if _size == 0 { + fatalError("栈为空") + } + return _peek!.val + } + + /* 将 List 转化为 Array 并返回 */ + func toArray() -> [Int] { + var node = _peek + var res = Array(repeating: 0, count: _size) + for i in sequence(first: res.count - 1, next: { $0 >= 0 + 1 ? $0 - 1 : nil }) { + res[i] = node!.val + node = node?.next + } + return res + } + } ``` ### 基于数组的实现 @@ -897,7 +969,51 @@ comments: true === "Swift" ```swift title="array_stack.swift" + /* 基于数组实现的栈 */ + class ArrayStack { + private var stack: [Int] + init() { + // 初始化列表(动态数组) + stack = [] + } + + /* 获取栈的长度 */ + func size() -> Int { + stack.count + } + + /* 判断栈是否为空 */ + func isEmpty() -> Bool { + stack.isEmpty + } + + /* 入栈 */ + func push(num: Int) { + stack.append(num) + } + + /* 出栈 */ + func pop() -> Int { + if stack.isEmpty { + fatalError("栈为空") + } + return stack.removeLast() + } + + /* 访问栈顶元素 */ + func peek() -> Int { + if stack.isEmpty { + fatalError("栈为空") + } + return stack.last! + } + + /* 将 List 转化为 Array 并返回 */ + func toArray() -> [Int] { + stack + } + } ``` !!! tip From 777370a5f8ffb3e417f51699a1077cc4b679daad Mon Sep 17 00:00:00 2001 From: xiongsp <37035570+xiongsp@users.noreply.github.com> Date: Tue, 10 Jan 2023 12:12:10 +0800 Subject: [PATCH 20/86] Add instruction --- Dockerfile | 5 +---- README.md | 22 ++++++++++++++++++++++ 2 files changed, 23 insertions(+), 4 deletions(-) diff --git a/Dockerfile b/Dockerfile index 5d437c846..9d566fbe2 100644 --- a/Dockerfile +++ b/Dockerfile @@ -1,9 +1,6 @@ FROM python:3.9.0-buster -RUN sed -i 's/deb.debian.org/mirrors.aliyun.com/g' /etc/apt/sources.list -RUN sed -i 's/security.debian.org/mirrors.aliyun.com/g' /etc/apt/sources.list - -RUN pip install --upgrade pip && pip install mkdocs mkdocs-material +RUN pip install -i https://pypi.tuna.tsinghua.edu.cn/simple --upgrade pip && pip install -i https://pypi.tuna.tsinghua.edu.cn/simple mkdocs mkdocs-material WORKDIR /app diff --git a/README.md b/README.md index 560e73953..8bb7b345d 100644 --- a/README.md +++ b/README.md @@ -41,6 +41,28 @@ 如果感觉本书对你有所帮助,请点个 Star :star: 支持一下,谢谢! +### 本地部署 + +#### Docker + +使用本教程前,请确保Docker已经安装并启动。 + +根据如下命令离线部署。 + +```bash +git clone https://github.com/krahets/hello-algo.git +cd hello-algo +docker-compose up -d +``` + +稍等片刻,请访问`http://localhost:8000`即可访问本教程。 + +使用如下命令删除部署。 + +```bash +docker-compose down +``` + ## 推荐语 > “一本通俗易懂的数据结构与算法入门书,引导读者手脑并用地学习,强烈推荐算法初学者阅读。” From 38a3d913edf621ba3c968266d60832a5723b0daf Mon Sep 17 00:00:00 2001 From: xiongsp <37035570+xiongsp@users.noreply.github.com> Date: Tue, 10 Jan 2023 12:47:40 +0800 Subject: [PATCH 21/86] optimize the Dockerfile --- Dockerfile | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Dockerfile b/Dockerfile index 9d566fbe2..813b4a37f 100644 --- a/Dockerfile +++ b/Dockerfile @@ -1,4 +1,4 @@ -FROM python:3.9.0-buster +FROM python:3.9.0-alpine RUN pip install -i https://pypi.tuna.tsinghua.edu.cn/simple --upgrade pip && pip install -i https://pypi.tuna.tsinghua.edu.cn/simple mkdocs mkdocs-material From 9c5eedeb8ce7332ddf93ae2c6a8bb381127d93ca Mon Sep 17 00:00:00 2001 From: Cavin Date: Tue, 10 Jan 2023 16:02:46 +0800 Subject: [PATCH 22/86] Update binary_tree.md MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 优化第三段中对“左子树”和“右子树”的描述 --- docs/chapter_tree/binary_tree.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/chapter_tree/binary_tree.md b/docs/chapter_tree/binary_tree.md index 077c03e0d..1061e019d 100644 --- a/docs/chapter_tree/binary_tree.md +++ b/docs/chapter_tree/binary_tree.md @@ -114,7 +114,7 @@ comments: true 结点的两个指针分别指向「左子结点 Left Child Node」和「右子结点 Right Child Node」,并且称该结点为两个子结点的「父结点 Parent Node」。给定二叉树某结点,将左子结点以下的树称为该结点的「左子树 Left Subtree」,右子树同理。 -除了叶结点外,每个结点都有子结点和子树。例如,若将上图的「结点 2」看作父结点,那么其左子结点和右子结点分别为「结点 4」和「结点 5」,左子树和右子树分别为「结点 4 以下的树」和「结点 5 以下的树」。 +除了叶结点外,每个结点都有子结点和子树。例如,若将上图的「结点 2」看作父结点,那么其左子结点和右子结点分别为「结点 4」和「结点 5」,左子树和右子树分别为「结点 4 及其以下结点形成的树」和「结点 5 及其以下结点形成的树」。 ![binary_tree_definition](binary_tree.assets/binary_tree_definition.png) From 2572b83540edc08e2e64d9e0d2aed2489f371e7e Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Tue, 10 Jan 2023 17:19:21 +0800 Subject: [PATCH 23/86] update zig codes for Section 'Space Complexity' and 'Space Time Tradeoff' --- codes/zig/build.zig | 8 ++++---- .../chapter_computational_complexity/leetcode_two_sum.zig | 4 ++++ .../chapter_computational_complexity/space_complexity.zig | 4 ++++ .../chapter_computational_complexity/time_complexity.zig | 4 ++++ .../worst_best_time_complexity.zig | 4 ++++ codes/zig/include/ListNode.zig | 1 + codes/zig/include/PrintUtil.zig | 1 + codes/zig/include/TreeNode.zig | 1 + 8 files changed, 23 insertions(+), 4 deletions(-) diff --git a/codes/zig/build.zig b/codes/zig/build.zig index e72ca4a53..9584ba4b3 100644 --- a/codes/zig/build.zig +++ b/codes/zig/build.zig @@ -11,7 +11,7 @@ pub fn build(b: *std.build.Builder) void { const mode = b.standardReleaseOptions(); // Section: "Time Complexity" - // File: "chapter_computational_complexity/time_complexity.zig" + // Source File: "chapter_computational_complexity/time_complexity.zig" // Run Command: zig build run_time_complexity const exe_time_complexity = b.addExecutable("time_complexity", "chapter_computational_complexity/time_complexity.zig"); exe_time_complexity.addPackagePath("include", "include/include.zig"); @@ -24,7 +24,7 @@ pub fn build(b: *std.build.Builder) void { const run_step_time_complexity = b.step("run_time_complexity", "Run time_complexity"); run_step_time_complexity.dependOn(&run_cmd_time_complexity.step); - // File: "chapter_computational_complexity/worst_best_time_complexity.zig" + // Source File: "chapter_computational_complexity/worst_best_time_complexity.zig" // Run Command: zig build run_worst_best_time_complexity const exe_worst_best_time_complexity = b.addExecutable("worst_best_time_complexity", "chapter_computational_complexity/worst_best_time_complexity.zig"); exe_worst_best_time_complexity.addPackagePath("include", "include/include.zig"); @@ -38,7 +38,7 @@ pub fn build(b: *std.build.Builder) void { run_step_worst_best_time_complexity.dependOn(&run_cmd_worst_best_time_complexity.step); // Section: "Space Complexity" - // File: "chapter_computational_complexity/space_complexity.zig" + // Source File: "chapter_computational_complexity/space_complexity.zig" // Run Command: zig build run_space_complexity const exe_space_complexity = b.addExecutable("space_complexity", "chapter_computational_complexity/space_complexity.zig"); exe_space_complexity.addPackagePath("include", "include/include.zig"); @@ -52,7 +52,7 @@ pub fn build(b: *std.build.Builder) void { run_step_space_complexity.dependOn(&run_cmd_space_complexity.step); // Section: "Space Time Tradeoff" - // File: "chapter_computational_complexity/leetcode_two_sum.zig" + // Source File: "chapter_computational_complexity/leetcode_two_sum.zig" // Run Command: zig build run_leetcode_two_sum const exe_leetcode_two_sum = b.addExecutable("leetcode_two_sum", "chapter_computational_complexity/leetcode_two_sum.zig"); exe_leetcode_two_sum.addPackagePath("include", "include/include.zig"); diff --git a/codes/zig/chapter_computational_complexity/leetcode_two_sum.zig b/codes/zig/chapter_computational_complexity/leetcode_two_sum.zig index 66b96f95e..dc963b595 100644 --- a/codes/zig/chapter_computational_complexity/leetcode_two_sum.zig +++ b/codes/zig/chapter_computational_complexity/leetcode_two_sum.zig @@ -44,6 +44,10 @@ const SolutionHashMap = struct { // Driver Code pub fn main() !void { + // 查看本地CPU架构和操作系统信息 + var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); + std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); + // ======= Test Case ======= var nums = [_]i32{ 2, 7, 11, 15 }; var target: i32 = 9; diff --git a/codes/zig/chapter_computational_complexity/space_complexity.zig b/codes/zig/chapter_computational_complexity/space_complexity.zig index 9798821a5..3fe81a706 100644 --- a/codes/zig/chapter_computational_complexity/space_complexity.zig +++ b/codes/zig/chapter_computational_complexity/space_complexity.zig @@ -102,6 +102,10 @@ fn buildTree(mem_allocator: std.mem.Allocator, n: i32) !?*inc.TreeNode(i32) { // Driver Code pub fn main() !void { + // 查看本地CPU架构和操作系统信息 + var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); + std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); + const n: i32 = 5; // 常数阶 constant(n); diff --git a/codes/zig/chapter_computational_complexity/time_complexity.zig b/codes/zig/chapter_computational_complexity/time_complexity.zig index dab17034a..ef8d7fe65 100644 --- a/codes/zig/chapter_computational_complexity/time_complexity.zig +++ b/codes/zig/chapter_computational_complexity/time_complexity.zig @@ -139,6 +139,10 @@ fn factorialRecur(n: i32) i32 { // Driver Code pub fn main() void { + // 查看本地CPU架构和操作系统信息 + var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); + std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); + // 可以修改 n 运行,体会一下各种复杂度的操作数量变化趋势 const n: i32 = 8; std.debug.print("输入数据大小 n = {}\n", .{n}); diff --git a/codes/zig/chapter_computational_complexity/worst_best_time_complexity.zig b/codes/zig/chapter_computational_complexity/worst_best_time_complexity.zig index bd2a1464a..42961aafb 100644 --- a/codes/zig/chapter_computational_complexity/worst_best_time_complexity.zig +++ b/codes/zig/chapter_computational_complexity/worst_best_time_complexity.zig @@ -28,6 +28,10 @@ pub fn findOne(nums: []i32) i32 { // Driver Code pub fn main() void { + // 查看本地CPU架构和操作系统信息 + var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); + std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); + var i: i32 = 0; while (i < 10) : (i += 1) { const n: usize = 100; diff --git a/codes/zig/include/ListNode.zig b/codes/zig/include/ListNode.zig index 8ce01d3ed..ae0246c09 100644 --- a/codes/zig/include/ListNode.zig +++ b/codes/zig/include/ListNode.zig @@ -5,6 +5,7 @@ const std = @import("std"); // Definition for a singly-linked list node +// 编译期泛型 pub fn ListNode(comptime T: type) type { return struct { const Self = @This(); diff --git a/codes/zig/include/PrintUtil.zig b/codes/zig/include/PrintUtil.zig index 8a7dca7af..9e6b18b05 100644 --- a/codes/zig/include/PrintUtil.zig +++ b/codes/zig/include/PrintUtil.zig @@ -7,6 +7,7 @@ const ListNode = @import("ListNode.zig").ListNode; const TreeNode = @import("TreeNode.zig").TreeNode; // Print an array +// 编译期泛型 pub fn printArray(comptime T: type, nums: []T) void { std.debug.print("[", .{}); if (nums.len > 0) { diff --git a/codes/zig/include/TreeNode.zig b/codes/zig/include/TreeNode.zig index 9bd51ba3d..12af9e8f3 100644 --- a/codes/zig/include/TreeNode.zig +++ b/codes/zig/include/TreeNode.zig @@ -5,6 +5,7 @@ const std = @import("std"); // Definition for a binary tree node +// 编译期泛型 pub fn TreeNode(comptime T: type) type { return struct { const Self = @This(); From 51e52121dce697c1a9a883e63590472354d1c4c5 Mon Sep 17 00:00:00 2001 From: mellowrsa <87369532+mellowrsa@users.noreply.github.com> Date: Tue, 10 Jan 2023 18:05:52 +0800 Subject: [PATCH 24/86] Update time_complexity.md --- .../time_complexity.md | 13 ++++++++----- 1 file changed, 8 insertions(+), 5 deletions(-) diff --git a/docs/chapter_computational_complexity/time_complexity.md b/docs/chapter_computational_complexity/time_complexity.md index 09aee7b79..ea523b46d 100644 --- a/docs/chapter_computational_complexity/time_complexity.md +++ b/docs/chapter_computational_complexity/time_complexity.md @@ -1434,11 +1434,14 @@ $$ for (int i = n - 1; i > 0; i--) { // 内循环:冒泡操作 for (int j = 0; j < i; j++) { - // 交换 nums[j] 与 nums[j + 1] - int tmp = nums[j]; - nums[j] = nums[j + 1]; - nums[j + 1] = tmp; - count += 3; // 元素交换包含 3 个单元操作 + if (nums[j] > nums [j+1]) + { + // 交换 nums[j] 与 nums[j + 1] + int tmp = nums[j]; + nums[j] = nums[j + 1]; + nums[j + 1] = tmp; + count += 3; // 元素交换包含 3 个单元操作 + } } } From afaf2de9f4f82a5452d7c290d2967c7db7378fd4 Mon Sep 17 00:00:00 2001 From: danielsss Date: Tue, 10 Jan 2023 21:46:03 +1100 Subject: [PATCH 25/86] removed: .editorconfig --- .editorconfig | 14 -------------- 1 file changed, 14 deletions(-) delete mode 100644 .editorconfig diff --git a/.editorconfig b/.editorconfig deleted file mode 100644 index f57b4f2fb..000000000 --- a/.editorconfig +++ /dev/null @@ -1,14 +0,0 @@ -# EditorConfig is awesome: https://EditorConfig.org - -# top-most EditorConfig file -root = true - -# Unix-style newlines with a newline ending every file -[*] -end_of_line = lf -insert_final_newline = true - -[codes/**.{java,js,ts,go,py,cpp,c,cs,swift,zig}] -charset = utf-8 -indent_style = space -indent_size = 4 From a667e71b2022a48553cc3f151e17b61f17835d53 Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Tue, 10 Jan 2023 19:29:57 +0800 Subject: [PATCH 26/86] fix bug --- .../time_complexity.c | 12 +++++++----- codes/zig/build.zig | 2 +- .../time_complexity.zig | 12 +++++++----- 3 files changed, 15 insertions(+), 11 deletions(-) diff --git a/codes/c/chapter_computational_complexity/time_complexity.c b/codes/c/chapter_computational_complexity/time_complexity.c index b8821ec6a..ee827ed14 100644 --- a/codes/c/chapter_computational_complexity/time_complexity.c +++ b/codes/c/chapter_computational_complexity/time_complexity.c @@ -56,11 +56,13 @@ int bubbleSort(int *nums, int n) { for (int i = n - 1; i > 0; i--) { // 内循环:冒泡操作 for (int j = 0; j < i; j++) { - // 交换 nums[j] 与 nums[j + 1] - int tmp = nums[j]; - nums[j] = nums[j + 1]; - nums[j + 1] = tmp; - count += 3; // 元素交换包含 3 个单元操作 + if (nums[j] > nums[j + 1]) { + // 交换 nums[j] 与 nums[j + 1] + int tmp = nums[j]; + nums[j] = nums[j + 1]; + nums[j + 1] = tmp; + count += 3; // 元素交换包含 3 个单元操作 + } } } return count; diff --git a/codes/zig/build.zig b/codes/zig/build.zig index 9584ba4b3..1a9fb0fba 100644 --- a/codes/zig/build.zig +++ b/codes/zig/build.zig @@ -5,7 +5,7 @@ const std = @import("std"); // Zig Version: 0.10.0 -// Zig Codes Build Command: zig build +// Build Command: zig build pub fn build(b: *std.build.Builder) void { const target = b.standardTargetOptions(.{}); const mode = b.standardReleaseOptions(); diff --git a/codes/zig/chapter_computational_complexity/time_complexity.zig b/codes/zig/chapter_computational_complexity/time_complexity.zig index ef8d7fe65..3b45ed79f 100644 --- a/codes/zig/chapter_computational_complexity/time_complexity.zig +++ b/codes/zig/chapter_computational_complexity/time_complexity.zig @@ -59,11 +59,13 @@ fn bubbleSort(nums: []i32) i32 { var j: usize = 0; // 内循环:冒泡操作 while (j < i) : (j += 1) { - // 交换 nums[j] 与 nums[j + 1] - var tmp = nums[j]; - nums[j] = nums[j + 1]; - nums[j + 1] = tmp; - count += 3; // 元素交换包含 3 个单元操作 + if (nums[j] > nums[j + 1]) { + // 交换 nums[j] 与 nums[j + 1] + var tmp = nums[j]; + nums[j] = nums[j + 1]; + nums[j + 1] = tmp; + count += 3; // 元素交换包含 3 个单元操作 + } } } return count; From 749570da0d63df16777dca82b31c7d1d15fd355b Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Tue, 10 Jan 2023 19:44:04 +0800 Subject: [PATCH 27/86] fix bug --- codes/zig/chapter_computational_complexity/time_complexity.zig | 2 +- .../worst_best_time_complexity.zig | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/codes/zig/chapter_computational_complexity/time_complexity.zig b/codes/zig/chapter_computational_complexity/time_complexity.zig index 3b45ed79f..40f609459 100644 --- a/codes/zig/chapter_computational_complexity/time_complexity.zig +++ b/codes/zig/chapter_computational_complexity/time_complexity.zig @@ -140,7 +140,7 @@ fn factorialRecur(n: i32) i32 { } // Driver Code -pub fn main() void { +pub fn main() !void { // 查看本地CPU架构和操作系统信息 var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); diff --git a/codes/zig/chapter_computational_complexity/worst_best_time_complexity.zig b/codes/zig/chapter_computational_complexity/worst_best_time_complexity.zig index 42961aafb..f9fcd2f67 100644 --- a/codes/zig/chapter_computational_complexity/worst_best_time_complexity.zig +++ b/codes/zig/chapter_computational_complexity/worst_best_time_complexity.zig @@ -27,7 +27,7 @@ pub fn findOne(nums: []i32) i32 { } // Driver Code -pub fn main() void { +pub fn main() !void { // 查看本地CPU架构和操作系统信息 var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); From 17de5fd5d17637d15ac837beec74983401927b4b Mon Sep 17 00:00:00 2001 From: reanon <793584285@qq.com> Date: Mon, 9 Jan 2023 17:25:27 +0800 Subject: [PATCH 28/86] feat(include): add c code --- .gitignore | 2 ++ 1 file changed, 2 insertions(+) diff --git a/.gitignore b/.gitignore index c960a1bb3..ccb5e1b1e 100644 --- a/.gitignore +++ b/.gitignore @@ -4,6 +4,8 @@ # Editor .vscode/ .idea/ +cmake-build-debug/ +CMakeLists.txt hello-algo.iml # mkdocs files From 24cdcd54df0b2f0c01a4cbf5ece35496a0b0cf08 Mon Sep 17 00:00:00 2001 From: reanon <793584285@qq.com> Date: Wed, 11 Jan 2023 00:48:48 +0800 Subject: [PATCH 29/86] feat(codes/c): add C include/ codes and modify exist C codes --- .gitignore | 2 +- codes/c/CMakeLists.txt | 11 ++ .../CMakeLists.txt | 1 + codes/c/chapter_array_and_linkedlist/array.c | 10 +- .../CMakeLists.txt | 2 + .../worst_best_time_complexity.c | 3 +- codes/c/chapter_sorting/CMakeLists.txt | 2 + codes/c/chapter_sorting/bubble_sort.c | 4 +- codes/c/chapter_sorting/insertion_sort.c | 2 +- codes/c/include/CMakeLists.txt | 4 + codes/c/include/PrintUtil.h | 28 ---- codes/c/include/include.h | 19 ++- codes/c/include/include_test.c | 38 +++++ codes/c/include/list_node.h | 72 ++++++++++ codes/c/include/print_util.h | 135 ++++++++++++++++++ codes/c/include/tree_node.h | 131 +++++++++++++++++ 16 files changed, 423 insertions(+), 41 deletions(-) create mode 100644 codes/c/CMakeLists.txt create mode 100644 codes/c/chapter_array_and_linkedlist/CMakeLists.txt create mode 100644 codes/c/chapter_computational_complexity/CMakeLists.txt create mode 100644 codes/c/chapter_sorting/CMakeLists.txt create mode 100644 codes/c/include/CMakeLists.txt delete mode 100644 codes/c/include/PrintUtil.h create mode 100644 codes/c/include/include_test.c create mode 100644 codes/c/include/list_node.h create mode 100644 codes/c/include/print_util.h create mode 100644 codes/c/include/tree_node.h diff --git a/.gitignore b/.gitignore index ccb5e1b1e..52026b066 100644 --- a/.gitignore +++ b/.gitignore @@ -5,8 +5,8 @@ .vscode/ .idea/ cmake-build-debug/ -CMakeLists.txt hello-algo.iml +*.dSYM/ # mkdocs files site/ diff --git a/codes/c/CMakeLists.txt b/codes/c/CMakeLists.txt new file mode 100644 index 000000000..dc9e56af3 --- /dev/null +++ b/codes/c/CMakeLists.txt @@ -0,0 +1,11 @@ +cmake_minimum_required(VERSION 3.10) +project(hello_algo C) + +set(CMAKE_C_STANDARD 11) + +include_directories(./include) + +add_subdirectory(include) +add_subdirectory(chapter_computational_complexity) +add_subdirectory(chapter_array_and_linkedlist) +add_subdirectory(chapter_sorting) diff --git a/codes/c/chapter_array_and_linkedlist/CMakeLists.txt b/codes/c/chapter_array_and_linkedlist/CMakeLists.txt new file mode 100644 index 000000000..24658b301 --- /dev/null +++ b/codes/c/chapter_array_and_linkedlist/CMakeLists.txt @@ -0,0 +1 @@ +add_executable(array array.c) \ No newline at end of file diff --git a/codes/c/chapter_array_and_linkedlist/array.c b/codes/c/chapter_array_and_linkedlist/array.c index 33dc99903..11fcb67f9 100644 --- a/codes/c/chapter_array_and_linkedlist/array.c +++ b/codes/c/chapter_array_and_linkedlist/array.c @@ -74,11 +74,11 @@ int main() { int size = 5; int arr[5]; printf("数组 arr = "); - printArray(arr, size); + PrintArray(arr, size); int nums[5] = { 1, 3, 2, 5, 4 }; printf("数组 nums = "); - printArray(nums, size); + PrintArray(nums, size); /* 随机访问 */ int randomNum = randomAccess(nums, size); @@ -89,17 +89,17 @@ int main() { int* res = extend(nums, size, enlarge); size += enlarge; printf("将数组长度扩展至 8 ,得到 nums = "); - printArray(res, size); + PrintArray(res, size); /* 插入元素 */ insert(res, size, 6, 3); printf("在索引 3 处插入数字 6 ,得到 nums = "); - printArray(res, size); + PrintArray(res, size); /* 删除元素 */ removeItem(res, size, 2); printf("删除索引 2 处的元素,得到 nums = "); - printArray(res, size); + PrintArray(res, size); /* 遍历数组 */ traverse(res, size); diff --git a/codes/c/chapter_computational_complexity/CMakeLists.txt b/codes/c/chapter_computational_complexity/CMakeLists.txt new file mode 100644 index 000000000..d9e55dcf1 --- /dev/null +++ b/codes/c/chapter_computational_complexity/CMakeLists.txt @@ -0,0 +1,2 @@ +add_executable(time_complexity time_complexity.c ) +add_executable(worst_best_time_complexity worst_best_time_complexity.c) \ No newline at end of file diff --git a/codes/c/chapter_computational_complexity/worst_best_time_complexity.c b/codes/c/chapter_computational_complexity/worst_best_time_complexity.c index 2570ff3c3..531a76e51 100644 --- a/codes/c/chapter_computational_complexity/worst_best_time_complexity.c +++ b/codes/c/chapter_computational_complexity/worst_best_time_complexity.c @@ -41,7 +41,7 @@ int main(int argc, char *argv[]) { int *nums = randomNumbers(n); int index = findOne(nums, n); printf("\n数组 [ 1, 2, ..., n ] 被打乱后 = "); - printArray(nums, n); + PrintArray(nums, n); printf("数字 1 的索引为 %d\n", index); // 释放堆区内存 if (nums != NULL) { @@ -49,6 +49,5 @@ int main(int argc, char *argv[]) { nums = NULL; } } - getchar(); return 0; } diff --git a/codes/c/chapter_sorting/CMakeLists.txt b/codes/c/chapter_sorting/CMakeLists.txt new file mode 100644 index 000000000..192e1cb97 --- /dev/null +++ b/codes/c/chapter_sorting/CMakeLists.txt @@ -0,0 +1,2 @@ +add_executable(bubble_sort bubble_sort.c) +add_executable(insertion_sort insertion_sort.c) \ No newline at end of file diff --git a/codes/c/chapter_sorting/bubble_sort.c b/codes/c/chapter_sorting/bubble_sort.c index 5c74d9e4e..4a2a24b44 100644 --- a/codes/c/chapter_sorting/bubble_sort.c +++ b/codes/c/chapter_sorting/bubble_sort.c @@ -50,14 +50,14 @@ void bubble_sort_with_flag(int nums[], int size) { /* Driver Code */ int main() { int nums[6] = {4, 1, 3, 1, 5, 2}; - printf("冒泡排序后:\n"); + printf("冒泡排序后: "); bubble_sort(nums, 6); for (int i = 0; i < 6; i++) { printf("%d ", nums[i]); } - printf("优化版冒泡排序后:\n"); + printf("\n优化版冒泡排序后: "); bubble_sort_with_flag(nums, 6); for (int i = 0; i < 6; i++) { diff --git a/codes/c/chapter_sorting/insertion_sort.c b/codes/c/chapter_sorting/insertion_sort.c index 80e8b127b..f81b8d43e 100644 --- a/codes/c/chapter_sorting/insertion_sort.c +++ b/codes/c/chapter_sorting/insertion_sort.c @@ -28,7 +28,7 @@ void insertionSort(int nums[], int size) { int main() { int nums[] = {4, 1, 3, 1, 5, 2}; insertionSort(nums, 6); - printf("插入排序完成后 nums = \n"); + printf("插入排序完成后 nums = "); for (int i = 0; i < 6; i++) { printf("%d ", nums[i]); diff --git a/codes/c/include/CMakeLists.txt b/codes/c/include/CMakeLists.txt new file mode 100644 index 000000000..4189ae334 --- /dev/null +++ b/codes/c/include/CMakeLists.txt @@ -0,0 +1,4 @@ +add_executable(include + include_test.c + include.h print_util.h + list_node.h tree_node.h) \ No newline at end of file diff --git a/codes/c/include/PrintUtil.h b/codes/c/include/PrintUtil.h deleted file mode 100644 index 59a8eac1b..000000000 --- a/codes/c/include/PrintUtil.h +++ /dev/null @@ -1,28 +0,0 @@ -/** - * File: PrintUtil.h - * Created Time: 2022-12-21 - * Author: MolDum (moldum@163.com) - */ - -#include -#include -#include - -// #include "ListNode.h" -// #include "TreeNode.h" - -/** - * @brief Print an Array - * - * @param arr - * @param n - */ - -static void printArray(int* arr, int n) -{ - printf("["); - for (int i = 0; i < n - 1; i++) { - printf("%d, ", arr[i]); - } - printf("%d]\n", arr[n-1]); -} diff --git a/codes/c/include/include.h b/codes/c/include/include.h index 2c4fd9252..9f30b0529 100644 --- a/codes/c/include/include.h +++ b/codes/c/include/include.h @@ -1,13 +1,28 @@ /** * File: include.h * Created Time: 2022-12-20 - * Author: MolDuM (moldum@163.com) + * Author: MolDuM (moldum@163.com)、Reanon (793584285@qq.com) */ +#ifndef C_INCLUDE_H +#define C_INCLUDE_H + #include #include #include #include #include -#include "PrintUtil.h" +#include "list_node.h" +#include "tree_node.h" +#include "print_util.h" + +#ifdef __cplusplus +extern "C" { +#endif + +#ifdef __cplusplus +} +#endif + +#endif // C_INCLUDE_H diff --git a/codes/c/include/include_test.c b/codes/c/include/include_test.c new file mode 100644 index 000000000..baa8e649d --- /dev/null +++ b/codes/c/include/include_test.c @@ -0,0 +1,38 @@ +/** + * File: include_test.c + * Created Time: 2023-01-10 + * Author: Reanon (793584285@qq.com) + */ + +#include "include.h" + +void testListNode() { + int nums[] = {2, 3, 5, 6, 7}; + int size = sizeof(nums) / sizeof(int); + ListNode *head = ArrayToLinkedList(nums, size); + PrintLinkedList(head); + + ListNode *node = GetListNode(head, 5); + printf("find node: %d\n", node->val); +} + +void testTreeNode() { + int nums[] = {1, 2, 3, NIL, 5, 6, NIL}; + int size = sizeof(nums) / sizeof(int); + TreeNode *root = ArrayToTree(nums, size); + + // print tree + PrintTree(root); + + // tree to arr + int *arr = TreeToArray(root); + PrintArray(arr, size); +} + +int main(int argc, char *argv[]) { + printf("==testListNode==\n"); + testListNode(); + printf("==testTreeNode==\n"); + testTreeNode(); + return 0; +} diff --git a/codes/c/include/list_node.h b/codes/c/include/list_node.h new file mode 100644 index 000000000..5597d2102 --- /dev/null +++ b/codes/c/include/list_node.h @@ -0,0 +1,72 @@ +/** + * File: list_node.h + * Created Time: 2023-01-09 + * Author: Reanon (793584285@qq.com) + */ +#ifndef LIST_NODE_H +#define LIST_NODE_H + +#ifdef __cplusplus +extern "C" { +#endif + +/** + * @brief Definition for a singly-linked list node + * + */ +struct ListNode { + int val; // 结点值 + struct ListNode *next; // 指向下一结点的指针(引用) +}; + +// typedef 为 C 语言的关键字,作用是为一种数据类型定义一个新名字 +typedef struct ListNode ListNode; + +ListNode *NewListNode(int val) { + ListNode *node, *next; + node = (ListNode *) malloc(sizeof(ListNode)); + node->val = val; + node->next = NULL; + return node; +} + +/** + * @brief Generate a linked list with a vector + * + * @param list + * @return ListNode* + */ + +ListNode *ArrayToLinkedList(const int *arr, size_t size) { + if (size <= 0) { + return NULL; + } + + ListNode *dummy = NewListNode(0); + ListNode *node = dummy; + for (int i = 0; i < size; i++) { + node->next = NewListNode(arr[i]); + node = node->next; + } + return dummy->next; +} + +/** + * @brief Get a list node with specific value from a linked list + * + * @param head + * @param val + * @return ListNode* + */ +ListNode *GetListNode(ListNode *head, int val) { + while (head != NULL && head->val != val) { + head = head->next; + } + return head; +} + +#ifdef __cplusplus +} +#endif + +#endif // LIST_NODE_H \ No newline at end of file diff --git a/codes/c/include/print_util.h b/codes/c/include/print_util.h new file mode 100644 index 000000000..fcb0a4ca6 --- /dev/null +++ b/codes/c/include/print_util.h @@ -0,0 +1,135 @@ +/** + * File: print_util.h + * Created Time: 2022-12-21 + * Author: MolDum (moldum@163.com)、Reanon (793584285@qq.com) + */ + +#ifndef PRINT_UTIL_H +#define PRINT_UTIL_H + +#include +#include +#include + +#include "list_node.h" +#include "tree_node.h" + +#ifdef __cplusplus +extern "C" { +#endif + + +/** + * @brief Print an Array + * + * @param arr + * @param size + */ +static void PrintArray(int *arr, int size) { + printf("["); + for (int i = 0; i < size - 1; i++) { + if (arr[i] != NIL) { + printf("%d, ", arr[i]); + } else { + printf("NULL, "); + } + } + if (arr[size - 1] != NIL) { + printf("%d]\n", arr[size - 1]); + }else{ + printf("NULL]\n"); + } +} + +/** + * @brief Print a linked list + * + * @param head + */ +static void PrintLinkedList(ListNode *node) { + if (node == NULL) { + return; + } + while (node->next != NULL) { + printf("%d -> ", node->val); + node = node->next; + } + printf("%d\n", node->val); +} + +struct Trunk { + struct Trunk *prev; + char *str; +}; + +typedef struct Trunk Trunk; + +Trunk *newTrunk(Trunk *prev, char *str) { + Trunk *trunk = (Trunk *) malloc(sizeof(Trunk)); + trunk->prev = prev; + trunk->str = (char *) malloc(sizeof(char) * 10); + strcpy(trunk->str, str); + return trunk; +} + +/** + * @brief Helper function to print branches of the binary tree + * + * @param trunk + */ +void showTrunks(Trunk *trunk) { + if (trunk == NULL) { + return; + } + showTrunks(trunk->prev); + printf("%s", trunk->str); +} + +/** + * Help to print a binary tree, hide more details + * @param node + * @param prev + * @param isLeft + */ +static void printTreeHelper(TreeNode *node, Trunk *prev, bool isLeft) { + if (node == NULL) { + return; + } + char *prev_str = " "; + Trunk *trunk = newTrunk(prev, prev_str); + printTreeHelper(node->right, trunk, true); + if (prev == NULL) { + trunk->str = "———"; + } else if (isLeft) { + trunk->str = "/———"; + prev_str = " |"; + } else { + trunk->str = "\\———"; + prev->str = prev_str; + } + showTrunks(trunk); + printf("%d\n", node->val); + + if (prev != NULL) { + prev->str = prev_str; + } + trunk->str = " |"; + + printTreeHelper(node->left, trunk, false); +} + +/** + * @brief Print a binary tree + * + * @param head + */ +static void PrintTree(TreeNode *root) { + printTreeHelper(root, NULL, false); +} + + +#ifdef __cplusplus +} +#endif + +#endif // PRINT_UTIL_H diff --git a/codes/c/include/tree_node.h b/codes/c/include/tree_node.h new file mode 100644 index 000000000..4b0e70187 --- /dev/null +++ b/codes/c/include/tree_node.h @@ -0,0 +1,131 @@ +/** + * File: tree_node.h + * Created Time: 2023-01-09 + * Author: Reanon (793584285@qq.com) + */ + + +#ifndef TREE_NODE_H +#define TREE_NODE_H + +#ifdef __cplusplus +extern "C" { +#endif + +#define NIL ('#') +#define MAX_NODE_SIZE 5000 + +struct TreeNode { + int val; + int height; + struct TreeNode *left; + struct TreeNode *right; +}; + +typedef struct TreeNode TreeNode; + + +TreeNode *NewTreeNode(int val) { + TreeNode *node; + + node = (TreeNode *) malloc(sizeof(TreeNode)); + node->val = val; + node->height = 0; + node->left = NULL; + node->right = NULL; + return node; +} + +/** + * @brief Generate a binary tree with an array + * + * @param arr + * @param size + * @return TreeNode * + */ +TreeNode *ArrayToTree(const int *arr, size_t size) { + if (size <= 0) { + return NULL; + } + + int front, rear, index; + TreeNode *root, *node; + TreeNode **queue; + + /* 根结点 */ + root = NewTreeNode(arr[0]); + /* 辅助队列 */ + queue = (TreeNode **) malloc(sizeof(TreeNode) * MAX_NODE_SIZE); + // 队列指针 + front = 0, rear = 0; + // 将根结点放入队尾 + queue[rear++] = root; + // 记录遍历数组的索引 + index = 0; + while (front < rear) { + // 取队列中的头结点,并让头结点出队 + node = queue[front++]; + index++; + if (index < size) { + if (arr[index] != NIL) { + node->left = NewTreeNode(arr[index]); + queue[rear++] = node->left; + } + } + index++; + if (index < size) { + if (arr[index] != NIL) { + node->right = NewTreeNode(arr[index]); + queue[rear++] = node->right; + } + } + } + return root; +} + + +/** + * @brief Generate a binary tree with an array + * + * @param arr + * @param size + * @return TreeNode * + */ +int *TreeToArray(TreeNode *root) { + if (root == NULL) { + return NULL; + } + int front, rear; + int index, *arr; + TreeNode *node; + TreeNode **queue; + /* 辅助队列 */ + queue = (TreeNode **) malloc(sizeof(TreeNode) * MAX_NODE_SIZE); + // 队列指针 + front = 0, rear = 0; + // 将根结点放入队尾 + queue[rear++] = root; + /* 辅助数组 */ + arr = (int *) malloc(sizeof(int) * MAX_NODE_SIZE); + // 数组指针 + index = 0; + while (front < rear) { + // 取队列中的头结点,并让头结点出队 + node = queue[front++]; + if (node != NULL) { + arr[index] = node->val; + queue[rear++] = node->left; + queue[rear++] = node->right; + } else { + arr[index] = NIL; + } + index++; + } + return arr; +} + +#ifdef __cplusplus +} +#endif + +#endif // TREE_NODE_H From 8723ca14694b36e00e729739aa1f594eef534814 Mon Sep 17 00:00:00 2001 From: reanon <793584285@qq.com> Date: Wed, 11 Jan 2023 01:56:08 +0800 Subject: [PATCH 30/86] feat(tree): add C codes --- codes/c/CMakeLists.txt | 1 + codes/c/chapter_tree/CMakeLists.txt | 4 ++ codes/c/chapter_tree/binary_search_tree.c | 8 +++ codes/c/chapter_tree/binary_tree.c | 43 +++++++++++ codes/c/chapter_tree/binary_tree_bfs.c | 66 +++++++++++++++++ codes/c/chapter_tree/binary_tree_dfs.c | 72 +++++++++++++++++++ .../chapter_tree/binary_search_tree_test.go | 2 +- 7 files changed, 195 insertions(+), 1 deletion(-) create mode 100644 codes/c/chapter_tree/CMakeLists.txt create mode 100644 codes/c/chapter_tree/binary_search_tree.c create mode 100644 codes/c/chapter_tree/binary_tree.c create mode 100644 codes/c/chapter_tree/binary_tree_bfs.c create mode 100644 codes/c/chapter_tree/binary_tree_dfs.c diff --git a/codes/c/CMakeLists.txt b/codes/c/CMakeLists.txt index dc9e56af3..1a208dd9d 100644 --- a/codes/c/CMakeLists.txt +++ b/codes/c/CMakeLists.txt @@ -9,3 +9,4 @@ add_subdirectory(include) add_subdirectory(chapter_computational_complexity) add_subdirectory(chapter_array_and_linkedlist) add_subdirectory(chapter_sorting) +add_subdirectory(chapter_tree) diff --git a/codes/c/chapter_tree/CMakeLists.txt b/codes/c/chapter_tree/CMakeLists.txt new file mode 100644 index 000000000..779315b7b --- /dev/null +++ b/codes/c/chapter_tree/CMakeLists.txt @@ -0,0 +1,4 @@ +add_executable(binary_search binary_tree.c) +add_executable(binary_tree_bfs binary_tree_bfs.c) +add_executable(binary_tree_dfs binary_tree_dfs.c) +add_executable(binary_search_tree binary_search_tree.c) diff --git a/codes/c/chapter_tree/binary_search_tree.c b/codes/c/chapter_tree/binary_search_tree.c new file mode 100644 index 000000000..f993faec3 --- /dev/null +++ b/codes/c/chapter_tree/binary_search_tree.c @@ -0,0 +1,8 @@ +/** + * File: binary_search_tree.c + * Created Time: 2023-01-11 + * Author: Reanon (793584285@qq.com) + */ + +#include "../include/include.h" + diff --git a/codes/c/chapter_tree/binary_tree.c b/codes/c/chapter_tree/binary_tree.c new file mode 100644 index 000000000..0a2f946a7 --- /dev/null +++ b/codes/c/chapter_tree/binary_tree.c @@ -0,0 +1,43 @@ +/** + * File: binary_tree.c + * Created Time: 2023-01-11 + * Author: Reanon (793584285@qq.com) + */ + +#include "../include/include.h" + +/* Driver Code */ +int main() { + /* 初始化二叉树 */ + // 初始化结点 + TreeNode* n1 = NewTreeNode(1); + TreeNode* n2 = NewTreeNode(2); + TreeNode* n3 = NewTreeNode(3); + TreeNode* n4 = NewTreeNode(4); + TreeNode* n5 = NewTreeNode(5); + // 构建引用指向(即指针) + n1->left = n2; + n1->right = n3; + n2->left = n4; + n2->right = n5; + printf("初始化二叉树\n"); + PrintTree(n1); + + /* 插入与删除结点 */ + TreeNode* P = NewTreeNode(0); + // 在 n1 -> n2 中间插入结点 P + n1->left = P; + P->left = n2; + printf("插入结点 P 后\n"); + PrintTree(n1); + + // 删除结点 P + n1->left = n2; + // 释放内存 + free(P); + printf("删除结点 P 后\n"); + PrintTree(n1); + + return 0; +} + diff --git a/codes/c/chapter_tree/binary_tree_bfs.c b/codes/c/chapter_tree/binary_tree_bfs.c new file mode 100644 index 000000000..abad3735f --- /dev/null +++ b/codes/c/chapter_tree/binary_tree_bfs.c @@ -0,0 +1,66 @@ +/** + * File: binary_tree_bfs.c + * Created Time: 2023-01-11 + * Author: Reanon (793584285@qq.com) + */ + +#include "../include/include.h" + +/* 层序遍历 */ +int *levelOrder(TreeNode *root, int *size) { + /* 辅助队列 */ + int front, rear; + int index, *arr; + TreeNode *node; + TreeNode **queue; + + /* 辅助队列 */ + queue = (TreeNode **) malloc(sizeof(TreeNode) * MAX_NODE_SIZE); + // 队列指针 + front = 0, rear = 0; + // 加入根结点 + queue[rear++] = root; + // 初始化一个列表,用于保存遍历序列 + /* 辅助数组 */ + arr = (int *) malloc(sizeof(int) * MAX_NODE_SIZE); + // 数组指针 + index = 0; + while (front < rear) { + // 队列出队 + node = queue[front++]; + // 保存结点 + arr[index++] = node->val; + if (node->left != NULL) { + // 左子结点入队 + queue[rear++] = node->left; + } + if (node->right != NULL) { + // 右子结点入队 + queue[rear++] = node->right; + } + } + // 更新数组长度的值 + *size = index; + arr = realloc(arr, sizeof(int) * (*size)); + return arr; +} + + +/* Driver Code */ +int main() { + /* 初始化二叉树 */ + // 这里借助了一个从数组直接生成二叉树的函数 + int nums[] = {1, 2, 3, NIL, 5, 6, NIL}; + int size = sizeof(nums) / sizeof(int); + TreeNode *root = ArrayToTree(nums, size); + printf("初始化二叉树\n"); + PrintTree(root); + + /* 层序遍历 */ + // 需要传入数组的长度 + int *arr = levelOrder(root, &size); + printf("层序遍历的结点打印序列 = "); + PrintArray(arr, size); + + return 0; +} \ No newline at end of file diff --git a/codes/c/chapter_tree/binary_tree_dfs.c b/codes/c/chapter_tree/binary_tree_dfs.c new file mode 100644 index 000000000..f72e6687b --- /dev/null +++ b/codes/c/chapter_tree/binary_tree_dfs.c @@ -0,0 +1,72 @@ +/** + * File: binary_tree_dfs.c + * Created Time: 2023-01-11 + * Author: Reanon (793584285@qq.com) + */ + +#include "../include/include.h" + +/* 辅助数组,用于存储遍历序列 */ +int *arr; + +/* 前序遍历 */ +void preOrder(TreeNode *root, int *size) { + + if (root == NULL) return; + // 访问优先级:根结点 -> 左子树 -> 右子树 + arr[(*size)++] = root->val; + preOrder(root->left, size); + preOrder(root->right, size); +} + +/* 中序遍历 */ +void inOrder(TreeNode *root, int *size) { + if (root == NULL) return; + // 访问优先级:左子树 -> 根结点 -> 右子树 + inOrder(root->left, size); + arr[(*size)++] = root->val; + inOrder(root->right, size); +} + +/* 后序遍历 */ +void postOrder(TreeNode *root, int *size) { + if (root == NULL) return; + // 访问优先级:左子树 -> 右子树 -> 根结点 + postOrder(root->left, size); + postOrder(root->right, size); + arr[(*size)++] = root->val; +} + + +/* Driver Code */ +int main() { + /* 初始化二叉树 */ + // 这里借助了一个从数组直接生成二叉树的函数 + int nums[] = {1, 2, 3, 4, 5, 6, 7}; + int size = sizeof(nums) / sizt ceof(int); + TreeNode *root = ArrayToTree(nums, size); + printf("初始化二叉树\n"); + PrintTree(root); + + /* 前序遍历 */ + // 初始化辅助数组 + arr = (int *) malloc(sizeof(int) * MAX_NODE_SIZE); + size = 0; + preOrder(root, &size); + printf("前序遍历的结点打印序列 = "); + PrintArray(arr, size); + + /* 中序遍历 */ + size = 0; + inOrder(root, &size); + printf("中序遍历的结点打印序列 = "); + PrintArray(arr, size); + + /* 后序遍历 */ + size = 0; + postOrder(root, &size); + printf("后序遍历的结点打印序列 = "); + PrintArray(arr, size); + + return 0; +} diff --git a/codes/go/chapter_tree/binary_search_tree_test.go b/codes/go/chapter_tree/binary_search_tree_test.go index 2109d5a44..2a864d138 100644 --- a/codes/go/chapter_tree/binary_search_tree_test.go +++ b/codes/go/chapter_tree/binary_search_tree_test.go @@ -20,7 +20,7 @@ func TestBinarySearchTree(t *testing.T) { fmt.Println("\n二叉树的根结点为:", node.Val) // 查找结点 - node = bst.Search(7) + node = bst.search(7) fmt.Println("查找到的结点对象为", node, ",结点值 =", node.Val) // 插入结点 From 483925686f7ac8103e88ec02c2f841d82e0b5153 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Wed, 11 Jan 2023 02:45:28 +0800 Subject: [PATCH 31/86] Update time_complexity.md --- docs/chapter_computational_complexity/time_complexity.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/chapter_computational_complexity/time_complexity.md b/docs/chapter_computational_complexity/time_complexity.md index ea523b46d..def052c92 100644 --- a/docs/chapter_computational_complexity/time_complexity.md +++ b/docs/chapter_computational_complexity/time_complexity.md @@ -1434,7 +1434,7 @@ $$ for (int i = n - 1; i > 0; i--) { // 内循环:冒泡操作 for (int j = 0; j < i; j++) { - if (nums[j] > nums [j+1]) + if (nums[j] > nums [j + 1]) { // 交换 nums[j] 与 nums[j + 1] int tmp = nums[j]; From d1315f5cdcfcf2c0e760a61acf4cf84a33b2f74d Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Wed, 11 Jan 2023 03:37:14 +0800 Subject: [PATCH 32/86] Update Dockerfile --- Dockerfile | 7 +++---- 1 file changed, 3 insertions(+), 4 deletions(-) diff --git a/Dockerfile b/Dockerfile index 813b4a37f..f699e33ea 100644 --- a/Dockerfile +++ b/Dockerfile @@ -1,17 +1,16 @@ FROM python:3.9.0-alpine -RUN pip install -i https://pypi.tuna.tsinghua.edu.cn/simple --upgrade pip && pip install -i https://pypi.tuna.tsinghua.edu.cn/simple mkdocs mkdocs-material +RUN pip install -i https://pypi.tuna.tsinghua.edu.cn/simple --upgrade pip +RUN pip install -i https://pypi.tuna.tsinghua.edu.cn/simple mkdocs-material==9.0.2 WORKDIR /app COPY codes /app/codes - COPY docs /app/docs - COPY mkdocs.yml /app/mkdocs.yml RUN mkdir ./docs/overrides && mkdocs build EXPOSE 8000 -CMD ["mkdocs", "serve", "-a", "0.0.0.0:8000"] \ No newline at end of file +CMD ["mkdocs", "serve", "-a", "0.0.0.0:8000"] From 3e9edf7115b87cad90077b47d185b37a337a7a03 Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Wed, 11 Jan 2023 12:34:54 +0800 Subject: [PATCH 33/86] delete system info output in zig codes --- .../zig/chapter_computational_complexity/leetcode_two_sum.zig | 4 ---- .../zig/chapter_computational_complexity/space_complexity.zig | 4 ---- .../zig/chapter_computational_complexity/time_complexity.zig | 4 ---- .../worst_best_time_complexity.zig | 4 ---- 4 files changed, 16 deletions(-) diff --git a/codes/zig/chapter_computational_complexity/leetcode_two_sum.zig b/codes/zig/chapter_computational_complexity/leetcode_two_sum.zig index dc963b595..66b96f95e 100644 --- a/codes/zig/chapter_computational_complexity/leetcode_two_sum.zig +++ b/codes/zig/chapter_computational_complexity/leetcode_two_sum.zig @@ -44,10 +44,6 @@ const SolutionHashMap = struct { // Driver Code pub fn main() !void { - // 查看本地CPU架构和操作系统信息 - var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); - std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); - // ======= Test Case ======= var nums = [_]i32{ 2, 7, 11, 15 }; var target: i32 = 9; diff --git a/codes/zig/chapter_computational_complexity/space_complexity.zig b/codes/zig/chapter_computational_complexity/space_complexity.zig index 3fe81a706..9798821a5 100644 --- a/codes/zig/chapter_computational_complexity/space_complexity.zig +++ b/codes/zig/chapter_computational_complexity/space_complexity.zig @@ -102,10 +102,6 @@ fn buildTree(mem_allocator: std.mem.Allocator, n: i32) !?*inc.TreeNode(i32) { // Driver Code pub fn main() !void { - // 查看本地CPU架构和操作系统信息 - var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); - std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); - const n: i32 = 5; // 常数阶 constant(n); diff --git a/codes/zig/chapter_computational_complexity/time_complexity.zig b/codes/zig/chapter_computational_complexity/time_complexity.zig index 40f609459..047950052 100644 --- a/codes/zig/chapter_computational_complexity/time_complexity.zig +++ b/codes/zig/chapter_computational_complexity/time_complexity.zig @@ -141,10 +141,6 @@ fn factorialRecur(n: i32) i32 { // Driver Code pub fn main() !void { - // 查看本地CPU架构和操作系统信息 - var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); - std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); - // 可以修改 n 运行,体会一下各种复杂度的操作数量变化趋势 const n: i32 = 8; std.debug.print("输入数据大小 n = {}\n", .{n}); diff --git a/codes/zig/chapter_computational_complexity/worst_best_time_complexity.zig b/codes/zig/chapter_computational_complexity/worst_best_time_complexity.zig index f9fcd2f67..0cdd61ebc 100644 --- a/codes/zig/chapter_computational_complexity/worst_best_time_complexity.zig +++ b/codes/zig/chapter_computational_complexity/worst_best_time_complexity.zig @@ -28,10 +28,6 @@ pub fn findOne(nums: []i32) i32 { // Driver Code pub fn main() !void { - // 查看本地CPU架构和操作系统信息 - var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); - std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); - var i: i32 = 0; while (i < 10) : (i += 1) { const n: usize = 100; From 55089726d607ff29f905588b49694ce011eb0f3d Mon Sep 17 00:00:00 2001 From: zhuoqinyue <64182179+zhuoqinyue@users.noreply.github.com> Date: Wed, 11 Jan 2023 14:12:57 +0800 Subject: [PATCH 34/86] Update codes/typescript/chapter_searching/hashing_search.ts Co-authored-by: Justin Tse --- codes/typescript/chapter_searching/hashing_search.ts | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/codes/typescript/chapter_searching/hashing_search.ts b/codes/typescript/chapter_searching/hashing_search.ts index ef0245a91..6133942b7 100644 --- a/codes/typescript/chapter_searching/hashing_search.ts +++ b/codes/typescript/chapter_searching/hashing_search.ts @@ -16,10 +16,10 @@ function hashingSearch(map: Map, target: number) { } /* 哈希查找(链表) */ -function hashingSearch1(map: Map, target: number) { +function hashingSearch1(map: Map, target: number): ListNode | null { // 哈希表的 key: 目标结点值,value: 结点对象 // 若哈希表中无此 key ,返回 null - return map.has(target) ? map.get(target) : null; + return map.has(target) ? map.get(target) as ListNode : null; } function main() { From c6f6fa00159955efe1046a881455a5b7d60e5b36 Mon Sep 17 00:00:00 2001 From: zhuoqinyue <64182179+zhuoqinyue@users.noreply.github.com> Date: Wed, 11 Jan 2023 14:13:06 +0800 Subject: [PATCH 35/86] Update docs/chapter_searching/hashing_search.md Co-authored-by: Justin Tse --- docs/chapter_searching/hashing_search.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/chapter_searching/hashing_search.md b/docs/chapter_searching/hashing_search.md index 1e41297e7..19cb2c8e4 100644 --- a/docs/chapter_searching/hashing_search.md +++ b/docs/chapter_searching/hashing_search.md @@ -173,10 +173,10 @@ comments: true ```typescript title="hashing_search.ts" /* 哈希查找(链表) */ - function hashingSearch1(map: Map, target: number) { + function hashingSearch1(map: Map, target: number): ListNode | null { // 哈希表的 key: 目标结点值,value: 结点对象 // 若哈希表中无此 key ,返回 null - return map.has(target) ? map.get(target) : null; + return map.has(target) ? map.get(target) as ListNode : null; } ``` From 4d542be9d4fe8e64d45a4db34ddc537a26d265ad Mon Sep 17 00:00:00 2001 From: zhuoqinyue <64182179+zhuoqinyue@users.noreply.github.com> Date: Wed, 11 Jan 2023 14:13:16 +0800 Subject: [PATCH 36/86] Update codes/typescript/chapter_searching/hashing_search.ts Co-authored-by: Justin Tse --- codes/typescript/chapter_searching/hashing_search.ts | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/codes/typescript/chapter_searching/hashing_search.ts b/codes/typescript/chapter_searching/hashing_search.ts index 6133942b7..7f93d7178 100644 --- a/codes/typescript/chapter_searching/hashing_search.ts +++ b/codes/typescript/chapter_searching/hashing_search.ts @@ -9,10 +9,10 @@ import ListNode from "../module/ListNode"; /* 哈希查找(数组) */ -function hashingSearch(map: Map, target: number) { +function hashingSearch(map: Map, target: number): number { // 哈希表的 key: 目标元素,value: 索引 // 若哈希表中无此 key ,返回 -1 - return map.has(target) ? map.get(target) : -1; + return map.has(target) ? map.get(target) as number : -1; } /* 哈希查找(链表) */ From 9adc78a3fe02e855d87f8e4865a0309cbb3e8839 Mon Sep 17 00:00:00 2001 From: zhuoqinyue <64182179+zhuoqinyue@users.noreply.github.com> Date: Wed, 11 Jan 2023 14:13:24 +0800 Subject: [PATCH 37/86] Update docs/chapter_searching/hashing_search.md Co-authored-by: Justin Tse --- docs/chapter_searching/hashing_search.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/chapter_searching/hashing_search.md b/docs/chapter_searching/hashing_search.md index 19cb2c8e4..37b5032d6 100644 --- a/docs/chapter_searching/hashing_search.md +++ b/docs/chapter_searching/hashing_search.md @@ -80,10 +80,10 @@ comments: true ```typescript title="hashing_search.ts" /* 哈希查找(数组) */ - function hashingSearch(map: Map, target: number) { + function hashingSearch(map: Map, target: number): number { // 哈希表的 key: 目标元素,value: 索引 // 若哈希表中无此 key ,返回 -1 - return map.has(target) ? map.get(target) : -1; + return map.has(target) ? map.get(target) as number : -1; } ``` From a482f8fd9b122873f831d8161a60eb59f02b57d1 Mon Sep 17 00:00:00 2001 From: JoseHung <1309716944@qq.com> Date: Wed, 11 Jan 2023 14:44:32 +0800 Subject: [PATCH 38/86] JS code identation of binary search --- docs/chapter_searching/binary_search.md | 52 ++++++++++++------------- 1 file changed, 26 insertions(+), 26 deletions(-) diff --git a/docs/chapter_searching/binary_search.md b/docs/chapter_searching/binary_search.md index 2bd2d4396..da60b3b43 100644 --- a/docs/chapter_searching/binary_search.md +++ b/docs/chapter_searching/binary_search.md @@ -141,20 +141,20 @@ $$ ```js title="binary_search.js" /* 二分查找(双闭区间) */ function binarySearch(nums, target) { - // 初始化双闭区间 [0, n-1] ,即 i, j 分别指向数组首元素、尾元素 - let i = 0, j = nums.length - 1; - // 循环,当搜索区间为空时跳出(当 i > j 时为空) - while (i <= j) { - let m = parseInt((i + j) / 2); // 计算中点索引 m ,在 JS 中需使用 parseInt 函数取整 - if (nums[m] < target) // 此情况说明 target 在区间 [m+1, j] 中 - i = m + 1; - else if (nums[m] > target) // 此情况说明 target 在区间 [i, m-1] 中 - j = m - 1; - else - return m; // 找到目标元素,返回其索引 + // 初始化双闭区间 [0, n-1] ,即 i, j 分别指向数组首元素、尾元素 + let i = 0, j = nums.length - 1; + // 循环,当搜索区间为空时跳出(当 i > j 时为空) + while (i <= j) { + let m = parseInt((i + j) / 2); // 计算中点索引 m ,在 JS 中需使用 parseInt 函数取整 + if (nums[m] < target) // 此情况说明 target 在区间 [m+1, j] 中 + i = m + 1; + else if (nums[m] > target) // 此情况说明 target 在区间 [i, m-1] 中 + j = m - 1; + else + return m; // 找到目标元素,返回其索引 } - // 未找到目标元素,返回 -1 - return -1; + // 未找到目标元素,返回 -1 + return -1; } ``` @@ -311,20 +311,20 @@ $$ ```js title="binary_search.js" /* 二分查找(左闭右开) */ function binarySearch1(nums, target) { - // 初始化左闭右开 [0, n) ,即 i, j 分别指向数组首元素、尾元素+1 - let i = 0, j = nums.length; - // 循环,当搜索区间为空时跳出(当 i = j 时为空) - while (i < j) { - let m = parseInt((i + j) / 2); // 计算中点索引 m ,在 JS 中需使用 parseInt 函数取整 - if (nums[m] < target) // 此情况说明 target 在区间 [m+1, j] 中 - i = m + 1; - else if (nums[m] > target) // 此情况说明 target 在区间 [i, m] 中 - j = m; - else // 找到目标元素,返回其索引 - return m; + // 初始化左闭右开 [0, n) ,即 i, j 分别指向数组首元素、尾元素+1 + let i = 0, j = nums.length; + // 循环,当搜索区间为空时跳出(当 i = j 时为空) + while (i < j) { + let m = parseInt((i + j) / 2); // 计算中点索引 m ,在 JS 中需使用 parseInt 函数取整 + if (nums[m] < target) // 此情况说明 target 在区间 [m+1, j] 中 + i = m + 1; + else if (nums[m] > target) // 此情况说明 target 在区间 [i, m] 中 + j = m; + else // 找到目标元素,返回其索引 + return m; } - // 未找到目标元素,返回 -1 - return -1; + // 未找到目标元素,返回 -1 + return -1; } ``` From a1579f6f7e9294f34dcb8aa8b2bbebad8206fd5b Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Wed, 11 Jan 2023 17:39:28 +0800 Subject: [PATCH 39/86] add zig codes for Section 'Array', 'LinkedList' and 'List' --- codes/zig/build.zig | 55 ++++++ .../chapter_array_and_linkedlist/array.zig | 149 ++++++++++++++ .../linked_list.zig | 89 +++++++++ .../zig/chapter_array_and_linkedlist/list.zig | 85 ++++++++ .../chapter_array_and_linkedlist/my_list.zig | 182 ++++++++++++++++++ codes/zig/include/PrintUtil.zig | 32 ++- 6 files changed, 589 insertions(+), 3 deletions(-) create mode 100644 codes/zig/chapter_array_and_linkedlist/array.zig create mode 100644 codes/zig/chapter_array_and_linkedlist/linked_list.zig create mode 100644 codes/zig/chapter_array_and_linkedlist/list.zig create mode 100644 codes/zig/chapter_array_and_linkedlist/my_list.zig diff --git a/codes/zig/build.zig b/codes/zig/build.zig index 1a9fb0fba..b9bbddce0 100644 --- a/codes/zig/build.zig +++ b/codes/zig/build.zig @@ -64,4 +64,59 @@ pub fn build(b: *std.build.Builder) void { if (b.args) |args| run_cmd_leetcode_two_sum.addArgs(args); const run_step_leetcode_two_sum = b.step("run_leetcode_two_sum", "Run leetcode_two_sum"); run_step_leetcode_two_sum.dependOn(&run_cmd_leetcode_two_sum.step); + + // Section: "Array" + // Source File: "chapter_array_and_linkedlist/array.zig" + // Run Command: zig build run_array + const exe_array = b.addExecutable("array", "chapter_array_and_linkedlist/array.zig"); + exe_array.addPackagePath("include", "include/include.zig"); + exe_array.setTarget(target); + exe_array.setBuildMode(mode); + exe_array.install(); + const run_cmd_array = exe_array.run(); + run_cmd_array.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_array.addArgs(args); + const run_step_array = b.step("run_array", "Run array"); + run_step_array.dependOn(&run_cmd_array.step); + + // Section: "LinkedList" + // Source File: "chapter_array_and_linkedlist/linked_list.zig" + // Run Command: zig build run_linked_list + const exe_linked_list = b.addExecutable("linked_list", "chapter_array_and_linkedlist/linked_list.zig"); + exe_linked_list.addPackagePath("include", "include/include.zig"); + exe_linked_list.setTarget(target); + exe_linked_list.setBuildMode(mode); + exe_linked_list.install(); + const run_cmd_linked_list = exe_linked_list.run(); + run_cmd_linked_list.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_linked_list.addArgs(args); + const run_step_linked_list = b.step("run_linked_list", "Run linked_list"); + run_step_linked_list.dependOn(&run_cmd_linked_list.step); + + // Section: "List" + // Source File: "chapter_array_and_linkedlist/list.zig" + // Run Command: zig build run_list + const exe_list = b.addExecutable("list", "chapter_array_and_linkedlist/list.zig"); + exe_list.addPackagePath("include", "include/include.zig"); + exe_list.setTarget(target); + exe_list.setBuildMode(mode); + exe_list.install(); + const run_cmd_list = exe_list.run(); + run_cmd_list.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_list.addArgs(args); + const run_step_list = b.step("run_list", "Run list"); + run_step_list.dependOn(&run_cmd_list.step); + + // Source File: "chapter_array_and_linkedlist/my_list.zig" + // Run Command: zig build run_my_list + const exe_my_list = b.addExecutable("my_list", "chapter_array_and_linkedlist/my_list.zig"); + exe_my_list.addPackagePath("include", "include/include.zig"); + exe_my_list.setTarget(target); + exe_my_list.setBuildMode(mode); + exe_my_list.install(); + const run_cmd_my_list = exe_my_list.run(); + run_cmd_my_list.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_my_list.addArgs(args); + const run_step_my_list = b.step("run_my_list", "Run my_list"); + run_step_my_list.dependOn(&run_cmd_my_list.step); } diff --git a/codes/zig/chapter_array_and_linkedlist/array.zig b/codes/zig/chapter_array_and_linkedlist/array.zig new file mode 100644 index 000000000..1206168e5 --- /dev/null +++ b/codes/zig/chapter_array_and_linkedlist/array.zig @@ -0,0 +1,149 @@ +// File: array.zig +// Created Time: 2023-01-07 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// 随机返回一个数组元素 +pub fn randomAccess(nums: []i32) i32 { + // 在区间 [0, nums.len) 中随机抽取一个整数 + var randomIndex = std.crypto.random.intRangeLessThan(usize, 0, nums.len); + // 获取并返回随机元素 + var randomNum = nums[randomIndex]; + return randomNum; +} + +// 扩展数组长度(运行时方法) +pub fn extend(mem_allocator: std.mem.Allocator, nums: []i32, enlarge: usize) ![]i32 { + // 初始化一个扩展长度后的数组 + var res = try mem_allocator.alloc(i32, nums.len + enlarge); + std.mem.set(i32, res, 0); + // 将原数组中的所有元素复制到新数组 + std.mem.copy(i32, res, nums); + // 返回扩展后的新数组 + return res; +} + +// 扩展数组长度(编译期方法A:初始化新数组并进行元素拷贝) +pub fn extendComptimeA(comptime nums: anytype, comptime enlarge: i32) [nums.len + enlarge]i32 { + // 初始化一个扩展长度后的数组 + var res = [_]i32{0} ** (nums.len + enlarge); + // 将原数组中的所有元素复制到新数组 + for (nums) |num, i| { + res[i] = num; + } + // 返回扩展后的新数组 + return res; +} + +// 扩展数组长度(编译期方法B: 通过数组拼接运算符“++”) +pub fn extendComptimeB(comptime nums: anytype, comptime enlarge: i32) [nums.len + enlarge]i32 { + // 数组拼接操作 + var res = nums ++ [_]i32{0} ** enlarge; + // 返回拼接后的新数组 + return res; +} + +// 在数组的索引 index 处插入元素 num +pub fn insert(nums: []i32, num: i32, index: usize) void { + // 把索引 index 以及之后的所有元素向后移动一位 + var i = nums.len - 1; + while (i > index) : (i -= 1) { + nums[i] = nums[i - 1]; + } + // 将 num 赋给 index 处元素 + nums[index] = num; +} + +// 删除索引 index 处元素 +pub fn remove(nums: []i32, index: usize) void { + // 把索引 index 之后的所有元素向前移动一位 + var i = index; + while (i < nums.len - 1) : (i += 1) { + nums[i] = nums[i + 1]; + } +} + +// 遍历数组 +pub fn traverse(nums: []i32) void { + var count: i32 = 0; + // 通过索引遍历数组 + var i: i32 = 0; + while (i < nums.len) : (i += 1) { + count += 1; + } + count = 0; + // 直接遍历数组 + for (nums) |_| { + count += 1; + } +} + +// 在数组中查找指定元素 +pub fn find(nums: []i32, target: i32) i32 { + for (nums) |num, i| { + if (num == target) return @intCast(i32, i); + } + return -1; +} + +// Driver Code +pub fn main() !void { + // 查看本地CPU架构和操作系统信息 + var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); + std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); + + // 初始化数组 + const size: i32 = 5; + var arr = [_]i32{0} ** size; + std.debug.print("数组 arr = ", .{}); + inc.PrintUtil.printArray(i32, &arr); + + var array = [_]i32{ 1, 3, 2, 5, 4 }; + std.debug.print("\n数组 nums = ", .{}); + inc.PrintUtil.printArray(i32, &array); + + // 随机访问 + var randomNum = randomAccess(&array); + std.debug.print("\n在 nums 中获取随机元素 {}", .{randomNum}); + + // 长度扩展(运行时方法) + var known_at_runtime_zero: usize = 0; + var nums: []i32 = array[known_at_runtime_zero..array.len]; + var mem_arena = std.heap.ArenaAllocator.init(std.heap.page_allocator); + defer mem_arena.deinit(); + const mem_allocator = mem_arena.allocator(); + nums = try extend(mem_allocator, nums, 3); + std.debug.print("\n将数组长度扩展至 8 ,得到 nums = ", .{}); + inc.PrintUtil.printArray(i32, nums); + // { + // // 长度扩展(编译期方法) + // comptime var array_comptime = [_]i32{ 1, 3, 2, 5, 4 }; + // var nums_comptime = extendComptimeA(array_comptime, 3); + // // var nums_comptime = extendComptimeB(array_comptime, 3); + // std.debug.print("\n将数组长度扩展至 8 ,得到 nums_comptime = ", .{}); + // inc.PrintUtil.printArray(i32, &nums_comptime); + // } + + // 插入元素 + insert(nums, 6, 3); + std.debug.print("\n在索引 3 处插入数字 6 ,得到 nums = ", .{}); + inc.PrintUtil.printArray(i32, nums); + + // 删除元素 + remove(nums, 2); + std.debug.print("\n删除索引 2 处的元素,得到 nums = ", .{}); + inc.PrintUtil.printArray(i32, nums); + + // 遍历数组 + traverse(nums); + + // 查找元素 + var index = find(nums, 3); + std.debug.print("\n在 nums_ext 中查找元素 3 ,得到索引 = {}\n", .{index}); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} + diff --git a/codes/zig/chapter_array_and_linkedlist/linked_list.zig b/codes/zig/chapter_array_and_linkedlist/linked_list.zig new file mode 100644 index 000000000..495ec3c66 --- /dev/null +++ b/codes/zig/chapter_array_and_linkedlist/linked_list.zig @@ -0,0 +1,89 @@ +// File: linked_list.zig +// Created Time: 2023-01-07 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// 在链表的结点 n0 之后插入结点 P +pub fn insert(n0: ?*inc.ListNode(i32), P: ?*inc.ListNode(i32)) void { + var n1 = n0.?.next; + n0.?.next = P; + P.?.next = n1; +} + +// 删除链表的结点 n0 之后的首个结点 +pub fn remove(n0: ?*inc.ListNode(i32)) void { + if (n0.?.next == null) return; + // n0 -> P -> n1 + var P = n0.?.next; + var n1 = P.?.next; + n0.?.next = n1; +} + +// 访问链表中索引为 index 的结点 +pub fn access(node: ?*inc.ListNode(i32), index: i32) ?*inc.ListNode(i32) { + var head = node; + var i: i32 = 0; + while (i < index) : (i += 1) { + head = head.?.next; + if (head == null) return null; + } + return head; +} + +// 在链表中查找值为 target 的首个结点 +pub fn find(node: ?*inc.ListNode(i32), target: i32) i32 { + var head = node; + var index: i32 = 0; + while (head != null) { + if (head.?.val == target) return index; + head = head.?.next; + index += 1; + } + return -1; +} + +// Driver Code +pub fn main() !void { + // 查看本地CPU架构和操作系统信息 + var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); + std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); + + // 初始化链表 + // 初始化各个结点 + var n0 = inc.ListNode(i32){.val = 1}; + var n1 = inc.ListNode(i32){.val = 3}; + var n2 = inc.ListNode(i32){.val = 2}; + var n3 = inc.ListNode(i32){.val = 5}; + var n4 = inc.ListNode(i32){.val = 4}; + // 构建引用指向 + n0.next = &n1; + n1.next = &n2; + n2.next = &n3; + n3.next = &n4; + std.debug.print("初始化的链表为", .{}); + try inc.PrintUtil.printLinkedList(i32, &n0); + + // 插入结点 + var tmp = inc.ListNode(i32){.val = 0}; + insert(&n0, &tmp); + std.debug.print("插入结点后的链表为", .{}); + try inc.PrintUtil.printLinkedList(i32, &n0); + + // 删除结点 + remove(&n0); + std.debug.print("删除结点后的链表为", .{}); + try inc.PrintUtil.printLinkedList(i32, &n0); + + // 访问结点 + var node = access(&n0, 3); + std.debug.print("链表中索引 3 处的结点的值 = {}\n", .{node.?.val}); + + // 查找结点 + var index = find(&n0, 2); + std.debug.print("链表中值为 2 的结点的索引 = {}\n", .{index}); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} \ No newline at end of file diff --git a/codes/zig/chapter_array_and_linkedlist/list.zig b/codes/zig/chapter_array_and_linkedlist/list.zig new file mode 100644 index 000000000..c27a641bd --- /dev/null +++ b/codes/zig/chapter_array_and_linkedlist/list.zig @@ -0,0 +1,85 @@ +// File: list.zig +// Created Time: 2023-01-07 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// Driver Code +pub fn main() !void { + // 查看本地CPU架构和操作系统信息 + var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); + std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); + + // 初始化列表 + var list = std.ArrayList(i32).init(std.heap.page_allocator); + // 延迟释放内存 + defer list.deinit(); + try list.appendSlice(&[_]i32{ 1, 3, 2, 5, 4 }); + std.debug.print("列表 list = ", .{}); + inc.PrintUtil.printList(i32, list); + + // 访问元素 + var num = list.items[1]; + std.debug.print("\n访问索引 1 处的元素,得到 num = {}", .{num}); + + // 更新元素 + list.items[1] = 0; + std.debug.print("\n将索引 1 处的元素更新为 0 ,得到 list = ", .{}); + inc.PrintUtil.printList(i32, list); + + // 清空列表 + list.clearRetainingCapacity(); + std.debug.print("\n清空列表后 list = ", .{}); + inc.PrintUtil.printList(i32, list); + + // 尾部添加元素 + try list.append(1); + try list.append(3); + try list.append(2); + try list.append(5); + try list.append(4); + std.debug.print("\n添加元素后 list = ", .{}); + inc.PrintUtil.printList(i32, list); + + // 中间插入元素 + try list.insert(3, 6); + std.debug.print("\n在索引 3 处插入数字 6 ,得到 list = ", .{}); + inc.PrintUtil.printList(i32, list); + + // 删除元素 + var value = list.orderedRemove(3); + _ = value; + std.debug.print("\n删除索引 3 处的元素,得到 list = ", .{}); + inc.PrintUtil.printList(i32, list); + + // 通过索引遍历列表 + var count: i32 = 0; + var i: i32 = 0; + while (i < list.items.len) : (i += 1) { + count += 1; + } + + // 直接遍历列表元素 + count = 0; + for (list.items) |_| { + count += 1; + } + + // 拼接两个列表 + var list1 = std.ArrayList(i32).init(std.heap.page_allocator); + defer list1.deinit(); + try list1.appendSlice(&[_]i32{ 6, 8, 7, 10, 9 }); + try list.insertSlice(list.items.len, list1.items); + std.debug.print("\n将列表 list1 拼接到 list 之后,得到 list = ", .{}); + inc.PrintUtil.printList(i32, list); + + // 排序列表 + std.sort.sort(i32, list.items, {}, comptime std.sort.asc(i32)); + std.debug.print("\n排序列表后 list = ", .{}); + inc.PrintUtil.printList(i32, list); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} + diff --git a/codes/zig/chapter_array_and_linkedlist/my_list.zig b/codes/zig/chapter_array_and_linkedlist/my_list.zig new file mode 100644 index 000000000..21aa921f3 --- /dev/null +++ b/codes/zig/chapter_array_and_linkedlist/my_list.zig @@ -0,0 +1,182 @@ +// File: my_list.zig +// Created Time: 2023-01-08 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// 列表类简易实现 +// 编译期泛型 +pub fn MyList(comptime T: type) type { + return struct { + const Self = @This(); + + nums: []T = undefined, // 数组(存储列表元素) + numsCapacity: usize = 10, // 列表容量 + numSize: usize = 0, // 列表长度(即当前元素数量) + extendRatio: usize = 2, // 每次列表扩容的倍数 + mem_arena: ?std.heap.ArenaAllocator = null, + mem_allocator: std.mem.Allocator = undefined, // 内存分配器 + + // 构造函数(分配内存+初始化列表) + pub fn init(self: *Self, allocator: std.mem.Allocator) !void { + if (self.mem_arena == null) { + self.mem_arena = std.heap.ArenaAllocator.init(allocator); + self.mem_allocator = self.mem_arena.?.allocator(); + } + self.nums = try self.mem_allocator.alloc(T, self.numsCapacity); + std.mem.set(T, self.nums, @as(T, 0)); + } + + // 析构函数(释放内存) + pub fn deinit(self: *Self) void { + if (self.mem_arena == null) return; + self.mem_arena.?.deinit(); + } + + // 获取列表长度(即当前元素数量) + pub fn size(self: *Self) usize { + return self.numSize; + } + + // 获取列表容量 + pub fn capacity(self: *Self) usize { + return self.numsCapacity; + } + + // 访问元素 + pub fn get(self: *Self, index: usize) T { + // 索引如果越界则抛出异常,下同 + if (index >= self.size()) @panic("索引越界"); + return self.nums[index]; + } + + // 更新元素 + pub fn set(self: *Self, index: usize, num: T) void { + // 索引如果越界则抛出异常,下同 + if (index >= self.size()) @panic("索引越界"); + self.nums[index] = num; + } + + // 尾部添加元素 + pub fn add(self: *Self, num: T) !void { + // 元素数量超出容量时,触发扩容机制 + if (self.size() == self.capacity()) try self.extendCapacity(); + self.nums[self.size()] = num; + // 更新元素数量 + self.numSize += 1; + } + + // 中间插入元素 + pub fn insert(self: *Self, index: usize, num: T) !void { + if (index >= self.size()) @panic("索引越界"); + // 元素数量超出容量时,触发扩容机制 + if (self.size() == self.capacity()) try self.extendCapacity(); + // 索引 i 以及之后的元素都向后移动一位 + var j = self.size() - 1; + while (j >= index) : (j -= 1) { + self.nums[j + 1] = self.nums[j]; + } + self.nums[index] = num; + // 更新元素数量 + self.numSize += 1; + } + + // 删除元素 + pub fn remove(self: *Self, index: usize) T { + if (index >= self.size()) @panic("索引越界"); + var num = self.nums[index]; + // 索引 i 之后的元素都向前移动一位 + var j = index; + while (j < self.size() - 1) : (j += 1) { + self.nums[j] = self.nums[j + 1]; + } + // 更新元素数量 + self.numSize -= 1; + // 返回被删除元素 + return num; + } + + // 列表扩容 + pub fn extendCapacity(self: *Self) !void { + // 新建一个长度为 size * extendRatio 的数组,并将原数组拷贝到新数组 + var newCapacity = self.capacity() * self.extendRatio; + var extend = try self.mem_allocator.alloc(T, newCapacity); + std.mem.set(T, extend, @as(T, 0)); + // 将原数组中的所有元素复制到新数组 + std.mem.copy(T, extend, self.nums); + self.nums = extend; + // 更新列表容量 + self.numsCapacity = newCapacity; + } + + // 将列表转换为数组 + pub fn toArray(self: *Self) ![]T { + // 仅转换有效长度范围内的列表元素 + var nums = try self.mem_allocator.alloc(T, self.size()); + std.mem.set(T, nums, @as(T, 0)); + for (nums) |*num, i| { + num.* = self.get(i); + } + return nums; + } + + }; +} + +// Driver Code +pub fn main() !void { + // 查看本地CPU架构和操作系统信息 + var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); + std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); + + // 初始化列表 + var list = MyList(i32){}; + try list.init(std.heap.page_allocator); + // 延迟释放内存 + defer list.deinit(); + + // 尾部添加元素 + try list.add(1); + try list.add(3); + try list.add(2); + try list.add(5); + try list.add(4); + std.debug.print("列表 list = ", .{}); + inc.PrintUtil.printArray(i32, try list.toArray()); + std.debug.print(" ,容量 = {} ,长度 = {}", .{list.capacity(), list.size()}); + + // 中间插入元素 + try list.insert(3, 6); + std.debug.print("\n在索引 3 处插入数字 6 ,得到 list = ", .{}); + inc.PrintUtil.printArray(i32, try list.toArray()); + + // 删除元素 + _ = list.remove(3); + std.debug.print("\n删除索引 3 处的元素,得到 list = ", .{}); + inc.PrintUtil.printArray(i32, try list.toArray()); + + // 访问元素 + var num = list.get(1); + std.debug.print("\n访问索引 1 处的元素,得到 num = {}", .{num}); + + // 更新元素 + list.set(1, 0); + std.debug.print("\n将索引 1 处的元素更新为 0 ,得到 list = ", .{}); + inc.PrintUtil.printArray(i32, try list.toArray()); + + // 测试扩容机制 + list.set(1, 0); + var i: i32 = 0; + while (i < 10) : (i += 1) { + // 在 i = 5 时,列表长度将超出列表容量,此时触发扩容机制 + try list.add(i); + } + std.debug.print("\n扩容后的列表 list = ", .{}); + inc.PrintUtil.printArray(i32, try list.toArray()); + std.debug.print(" ,容量 = {} ,长度 = {}\n", .{list.capacity(), list.size()}); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} + diff --git a/codes/zig/include/PrintUtil.zig b/codes/zig/include/PrintUtil.zig index 9e6b18b05..4d2d20893 100644 --- a/codes/zig/include/PrintUtil.zig +++ b/codes/zig/include/PrintUtil.zig @@ -7,16 +7,42 @@ const ListNode = @import("ListNode.zig").ListNode; const TreeNode = @import("TreeNode.zig").TreeNode; // Print an array -// 编译期泛型 pub fn printArray(comptime T: type, nums: []T) void { std.debug.print("[", .{}); if (nums.len > 0) { for (nums) |num, j| { - std.debug.print("{}{s}", .{num, if (j == nums.len-1) "]\n" else ", " }); + std.debug.print("{}{s}", .{num, if (j == nums.len-1) "]" else ", " }); } } else { std.debug.print("]", .{}); - std.debug.print("\n", .{}); + } +} + +// Print a list +pub fn printList(comptime T: type, list: std.ArrayList(T)) void { + std.debug.print("[", .{}); + if (list.items.len > 0) { + for (list.items) |value, i| { + std.debug.print("{}{s}", .{value, if (i == list.items.len-1) "]" else ", " }); + } + } else { + std.debug.print("]", .{}); + } + +} + +// Print a linked list +pub fn printLinkedList(comptime T: type, node: ?*ListNode(T)) !void { + if (node == null) return; + var list = std.ArrayList(i32).init(std.heap.page_allocator); + defer list.deinit(); + var head = node; + while (head != null) { + try list.append(head.?.val); + head = head.?.next; + } + for (list.items) |value, i| { + std.debug.print("{}{s}", .{value, if (i == list.items.len-1) "\n" else "->" }); } } From 82f9542abe8cee81289c5adc1aac5dfaf82329b0 Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Wed, 11 Jan 2023 17:43:52 +0800 Subject: [PATCH 40/86] add zig codes for Section 'Array', 'LinkedList' and 'List' --- codes/zig/chapter_array_and_linkedlist/array.zig | 4 ---- codes/zig/chapter_array_and_linkedlist/linked_list.zig | 4 ---- codes/zig/chapter_array_and_linkedlist/list.zig | 4 ---- codes/zig/chapter_array_and_linkedlist/my_list.zig | 4 ---- 4 files changed, 16 deletions(-) diff --git a/codes/zig/chapter_array_and_linkedlist/array.zig b/codes/zig/chapter_array_and_linkedlist/array.zig index 1206168e5..55000bf9b 100644 --- a/codes/zig/chapter_array_and_linkedlist/array.zig +++ b/codes/zig/chapter_array_and_linkedlist/array.zig @@ -90,10 +90,6 @@ pub fn find(nums: []i32, target: i32) i32 { // Driver Code pub fn main() !void { - // 查看本地CPU架构和操作系统信息 - var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); - std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); - // 初始化数组 const size: i32 = 5; var arr = [_]i32{0} ** size; diff --git a/codes/zig/chapter_array_and_linkedlist/linked_list.zig b/codes/zig/chapter_array_and_linkedlist/linked_list.zig index 495ec3c66..fbaa3f8d7 100644 --- a/codes/zig/chapter_array_and_linkedlist/linked_list.zig +++ b/codes/zig/chapter_array_and_linkedlist/linked_list.zig @@ -46,10 +46,6 @@ pub fn find(node: ?*inc.ListNode(i32), target: i32) i32 { // Driver Code pub fn main() !void { - // 查看本地CPU架构和操作系统信息 - var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); - std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); - // 初始化链表 // 初始化各个结点 var n0 = inc.ListNode(i32){.val = 1}; diff --git a/codes/zig/chapter_array_and_linkedlist/list.zig b/codes/zig/chapter_array_and_linkedlist/list.zig index c27a641bd..608bce96c 100644 --- a/codes/zig/chapter_array_and_linkedlist/list.zig +++ b/codes/zig/chapter_array_and_linkedlist/list.zig @@ -7,10 +7,6 @@ const inc = @import("include"); // Driver Code pub fn main() !void { - // 查看本地CPU架构和操作系统信息 - var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); - std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); - // 初始化列表 var list = std.ArrayList(i32).init(std.heap.page_allocator); // 延迟释放内存 diff --git a/codes/zig/chapter_array_and_linkedlist/my_list.zig b/codes/zig/chapter_array_and_linkedlist/my_list.zig index 21aa921f3..fccd5ac65 100644 --- a/codes/zig/chapter_array_and_linkedlist/my_list.zig +++ b/codes/zig/chapter_array_and_linkedlist/my_list.zig @@ -126,10 +126,6 @@ pub fn MyList(comptime T: type) type { // Driver Code pub fn main() !void { - // 查看本地CPU架构和操作系统信息 - var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); - std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); - // 初始化列表 var list = MyList(i32){}; try list.init(std.heap.page_allocator); From 2367318a28f33c45e77cdeae034a32b09c371f30 Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Wed, 11 Jan 2023 18:05:42 +0800 Subject: [PATCH 41/86] add zig codes for Section 'Array', 'LinkedList' and 'List' --- codes/zig/chapter_array_and_linkedlist/array.zig | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/codes/zig/chapter_array_and_linkedlist/array.zig b/codes/zig/chapter_array_and_linkedlist/array.zig index 55000bf9b..52ebc8606 100644 --- a/codes/zig/chapter_array_and_linkedlist/array.zig +++ b/codes/zig/chapter_array_and_linkedlist/array.zig @@ -137,7 +137,7 @@ pub fn main() !void { // 查找元素 var index = find(nums, 3); - std.debug.print("\n在 nums_ext 中查找元素 3 ,得到索引 = {}\n", .{index}); + std.debug.print("\n在 nums 中查找元素 3 ,得到索引 = {}\n", .{index}); const getchar = try std.io.getStdIn().reader().readByte(); _ = getchar; From 3aa4cc729db548f9b48f5389ad0aa02fe65983c6 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Wed, 11 Jan 2023 19:42:59 +0800 Subject: [PATCH 42/86] Update installation.md --- docs/chapter_preface/installation.md | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/docs/chapter_preface/installation.md b/docs/chapter_preface/installation.md index c6c1b2ee9..828365edf 100644 --- a/docs/chapter_preface/installation.md +++ b/docs/chapter_preface/installation.md @@ -46,3 +46,8 @@ comments: true 1. 下载并安装 [Swift](https://www.swift.org/download/); 2. 在 VSCode 的插件市场中搜索 `swift`,安装 [Swift for Visual Studio Code](https://marketplace.visualstudio.com/items?itemName=sswg.swift-lang)。 + +## Rust 环境 + +1. 下载并安装 [Rust](https://www.rust-lang.org/tools/install); +2. 在 VSCode 的插件市场中搜索 `rust`,安装 [rust-analyzer](https://marketplace.visualstudio.com/items?itemName=rust-lang.rust-analyzer)。 From b0c4efa706896c866212910c9ff480c3693659bd Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Wed, 11 Jan 2023 19:43:49 +0800 Subject: [PATCH 43/86] Update time_complexity.md --- docs/chapter_computational_complexity/time_complexity.md | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/docs/chapter_computational_complexity/time_complexity.md b/docs/chapter_computational_complexity/time_complexity.md index 92f5a5193..09aee7b79 100644 --- a/docs/chapter_computational_complexity/time_complexity.md +++ b/docs/chapter_computational_complexity/time_complexity.md @@ -355,8 +355,8 @@ $$ print(0) } } - ``` + ![time_complexity_first_example](time_complexity.assets/time_complexity_first_example.png)

Fig. 算法 A, B, C 的时间增长趋势

@@ -725,7 +725,6 @@ $$ } ``` - ### 2. 判断渐近上界 **时间复杂度由多项式 $T(n)$ 中最高阶的项来决定**。这是因为在 $n$ 趋于无穷大时,最高阶的项将处于主导作用,其它项的影响都可以被忽略。 From d75a3582b06ddd76494bfbb54a017ee18df02b63 Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Wed, 11 Jan 2023 19:56:25 +0800 Subject: [PATCH 44/86] add zig codes for Section 'Array', 'LinkedList' and 'List' --- codes/zig/chapter_array_and_linkedlist/my_list.zig | 1 - 1 file changed, 1 deletion(-) diff --git a/codes/zig/chapter_array_and_linkedlist/my_list.zig b/codes/zig/chapter_array_and_linkedlist/my_list.zig index fccd5ac65..f018e61ca 100644 --- a/codes/zig/chapter_array_and_linkedlist/my_list.zig +++ b/codes/zig/chapter_array_and_linkedlist/my_list.zig @@ -120,7 +120,6 @@ pub fn MyList(comptime T: type) type { } return nums; } - }; } From 08afeb2981cb01e450c2138dcef480ef79ec2b94 Mon Sep 17 00:00:00 2001 From: ubuntu Date: Wed, 11 Jan 2023 22:50:23 +0800 Subject: [PATCH 45/86] fix(codes/cpp): fix worst_best_time_complexity.cpp compile error. --- codes/cpp/include/include.hpp | 2 ++ 1 file changed, 2 insertions(+) diff --git a/codes/cpp/include/include.hpp b/codes/cpp/include/include.hpp index 8e4a8070d..03bf9b503 100644 --- a/codes/cpp/include/include.hpp +++ b/codes/cpp/include/include.hpp @@ -17,6 +17,8 @@ #include #include #include +#include +#include #include "ListNode.hpp" #include "TreeNode.hpp" From 99f149493946e6c1bdef9c533273db527bc901e6 Mon Sep 17 00:00:00 2001 From: nuomi1 Date: Wed, 11 Jan 2023 23:48:10 +0800 Subject: [PATCH 46/86] feat: add Swift codes for queue article --- codes/swift/Package.swift | 6 + .../chapter_stack_and_queue/array_queue.swift | 116 ++++++++++++++++ .../linkedlist_queue.swift | 105 ++++++++++++++ .../swift/chapter_stack_and_queue/queue.swift | 39 ++++++ docs/chapter_stack_and_queue/queue.md | 129 ++++++++++++++++++ 5 files changed, 395 insertions(+) create mode 100644 codes/swift/chapter_stack_and_queue/array_queue.swift create mode 100644 codes/swift/chapter_stack_and_queue/linkedlist_queue.swift create mode 100644 codes/swift/chapter_stack_and_queue/queue.swift diff --git a/codes/swift/Package.swift b/codes/swift/Package.swift index 6d6eaa8a5..89c03d9f6 100644 --- a/codes/swift/Package.swift +++ b/codes/swift/Package.swift @@ -16,6 +16,9 @@ let package = Package( .executable(name: "stack", targets: ["stack"]), .executable(name: "linkedlist_stack", targets: ["linkedlist_stack"]), .executable(name: "array_stack", targets: ["array_stack"]), + .executable(name: "queue", targets: ["queue"]), + .executable(name: "linkedlist_queue", targets: ["linkedlist_queue"]), + .executable(name: "array_queue", targets: ["array_queue"]), ], targets: [ .target(name: "utils", path: "utils"), @@ -30,5 +33,8 @@ let package = Package( .executableTarget(name: "stack", path: "chapter_stack_and_queue", sources: ["stack.swift"]), .executableTarget(name: "linkedlist_stack", dependencies: ["utils"], path: "chapter_stack_and_queue", sources: ["linkedlist_stack.swift"]), .executableTarget(name: "array_stack", path: "chapter_stack_and_queue", sources: ["array_stack.swift"]), + .executableTarget(name: "queue", path: "chapter_stack_and_queue", sources: ["queue.swift"]), + .executableTarget(name: "linkedlist_queue", dependencies: ["utils"], path: "chapter_stack_and_queue", sources: ["linkedlist_queue.swift"]), + .executableTarget(name: "array_queue", path: "chapter_stack_and_queue", sources: ["array_queue.swift"]), ] ) diff --git a/codes/swift/chapter_stack_and_queue/array_queue.swift b/codes/swift/chapter_stack_and_queue/array_queue.swift new file mode 100644 index 000000000..d76dbc9c5 --- /dev/null +++ b/codes/swift/chapter_stack_and_queue/array_queue.swift @@ -0,0 +1,116 @@ +/** + * File: array_queue.swift + * Created Time: 2023-01-11 + * Author: nuomi1 (nuomi1@qq.com) + */ + +/* 基于环形数组实现的队列 */ +class ArrayQueue { + private var nums: [Int] // 用于存储队列元素的数组 + private var front = 0 // 头指针,指向队首 + private var rear = 0 // 尾指针,指向队尾 + 1 + + init(capacity: Int) { + // 初始化数组 + nums = Array(repeating: 0, count: capacity) + } + + /* 获取队列的容量 */ + func capacity() -> Int { + nums.count + } + + /* 获取队列的长度 */ + func size() -> Int { + let capacity = capacity() + // 由于将数组看作为环形,可能 rear < front ,因此需要取余数 + return (capacity + rear - front) % capacity + } + + /* 判断队列是否为空 */ + func isEmpty() -> Bool { + rear - front == 0 + } + + /* 入队 */ + func offer(num: Int) { + if size() == capacity() { + print("队列已满") + return + } + // 尾结点后添加 num + nums[rear] = num + // 尾指针向后移动一位,越过尾部后返回到数组头部 + rear = (rear + 1) % capacity() + } + + /* 出队 */ + @discardableResult + func poll() -> Int { + let num = peek() + // 队头指针向后移动一位,若越过尾部则返回到数组头部 + front = (front + 1) % capacity() + return num + } + + /* 访问队首元素 */ + func peek() -> Int { + if isEmpty() { + fatalError("队列为空") + } + return nums[front] + } + + /* 返回数组 */ + func toArray() -> [Int] { + let size = size() + let capacity = capacity() + // 仅转换有效长度范围内的列表元素 + var res = Array(repeating: 0, count: size) + for (i, j) in sequence(first: (0, front), next: { $0 < size - 1 ? ($0 + 1, $1 + 1) : nil }) { + res[i] = nums[j % capacity] + } + return res + } +} + +@main +enum _ArrayQueue { + /* Driver Code */ + static func main() { + /* 初始化队列 */ + let capacity = 10 + let queue = ArrayQueue(capacity: capacity) + + /* 元素入队 */ + queue.offer(num: 1) + queue.offer(num: 3) + queue.offer(num: 2) + queue.offer(num: 5) + queue.offer(num: 4) + print("队列 queue = \(queue.toArray())") + + /* 访问队首元素 */ + let peek = queue.peek() + print("队首元素 peek = \(peek)") + + /* 元素出队 */ + let poll = queue.poll() + print("出队元素 poll = \(poll),出队后 queue = \(queue.toArray())") + + /* 获取队列的长度 */ + let size = queue.size() + print("队列长度 size = \(size)") + + /* 判断队列是否为空 */ + let isEmpty = queue.isEmpty() + print("队列是否为空 = \(isEmpty)") + + /* 测试环形数组 */ + for i in 0 ..< 10 { + queue.offer(num: i) + queue.poll() + print("第 \(i) 轮入队 + 出队后 queue = \(queue.toArray())") + } + } +} diff --git a/codes/swift/chapter_stack_and_queue/linkedlist_queue.swift b/codes/swift/chapter_stack_and_queue/linkedlist_queue.swift new file mode 100644 index 000000000..1d671742b --- /dev/null +++ b/codes/swift/chapter_stack_and_queue/linkedlist_queue.swift @@ -0,0 +1,105 @@ +/** + * File: linkedlist_queue.swift + * Created Time: 2023-01-11 + * Author: nuomi1 (nuomi1@qq.com) + */ + +import utils + +/* 基于链表实现的队列 */ +class LinkedListQueue { + private var front: ListNode? // 头结点 + private var rear: ListNode? // 尾结点 + private var _size = 0 + + init() {} + + /* 获取队列的长度 */ + func size() -> Int { + _size + } + + /* 判断队列是否为空 */ + func isEmpty() -> Bool { + size() == 0 + } + + /* 入队 */ + func offer(num: Int) { + // 尾结点后添加 num + let node = ListNode(x: num) + // 如果队列为空,则令头、尾结点都指向该结点 + if front == nil { + front = node + rear = node + } + // 如果队列不为空,则将该结点添加到尾结点后 + else { + rear?.next = node + rear = node + } + _size += 1 + } + + /* 出队 */ + @discardableResult + func poll() -> Int { + let num = peek() + // 删除头结点 + front = front?.next + _size -= 1 + return num + } + + /* 访问队首元素 */ + func peek() -> Int { + if isEmpty() { + fatalError("队列为空") + } + return front!.val + } + + /* 将链表转化为 Array 并返回 */ + func toArray() -> [Int] { + var node = front + var res = Array(repeating: 0, count: size()) + for i in res.indices { + res[i] = node!.val + node = node?.next + } + return res + } +} + +@main +enum _LinkedListQueue { + /* Driver Code */ + static func main() { + /* 初始化队列 */ + let queue = LinkedListQueue() + + /* 元素入队 */ + queue.offer(num: 1) + queue.offer(num: 3) + queue.offer(num: 2) + queue.offer(num: 5) + queue.offer(num: 4) + print("队列 queue = \(queue.toArray())") + + /* 访问队首元素 */ + let peek = queue.peek() + print("队首元素 peek = \(peek)") + + /* 元素出队 */ + let poll = queue.poll() + print("出队元素 poll = \(poll),出队后 queue = \(queue.toArray())") + + /* 获取队列的长度 */ + let size = queue.size() + print("队列长度 size = \(size)") + + /* 判断队列是否为空 */ + let isEmpty = queue.isEmpty() + print("队列是否为空 = \(isEmpty)") + } +} diff --git a/codes/swift/chapter_stack_and_queue/queue.swift b/codes/swift/chapter_stack_and_queue/queue.swift new file mode 100644 index 000000000..f13af36f5 --- /dev/null +++ b/codes/swift/chapter_stack_and_queue/queue.swift @@ -0,0 +1,39 @@ +/** + * File: queue.swift + * Created Time: 2023-01-11 + * Author: nuomi1 (nuomi1@qq.com) + */ + +@main +enum Queue { + /* Driver Code */ + static func main() { + /* 初始化队列 */ + // Swift 没有内置的队列类,可以把 Array 当作队列来使用 + var queue: [Int] = [] + + /* 元素入队 */ + queue.append(1) + queue.append(3) + queue.append(2) + queue.append(5) + queue.append(4) + print("队列 queue = \(queue)") + + /* 访问队首元素 */ + let peek = queue.first! + print("队首元素 peek = \(peek)") + + /* 元素出队 */ + let pool = queue.removeFirst() + print("出队元素 poll = \(pool),出队后 queue = \(queue)") + + /* 获取队列的长度 */ + let size = queue.count + print("队列长度 size = \(size)") + + /* 判断队列是否为空 */ + let isEmpty = queue.isEmpty + print("队列是否为空 = \(isEmpty)") + } +} diff --git a/docs/chapter_stack_and_queue/queue.md b/docs/chapter_stack_and_queue/queue.md index 0c589fa69..08cf76d78 100644 --- a/docs/chapter_stack_and_queue/queue.md +++ b/docs/chapter_stack_and_queue/queue.md @@ -231,7 +231,28 @@ comments: true === "Swift" ```swift title="queue.swift" + /* 初始化队列 */ + // Swift 没有内置的队列类,可以把 Array 当作队列来使用 + var queue: [Int] = [] + /* 元素入队 */ + queue.append(1) + queue.append(3) + queue.append(2) + queue.append(5) + queue.append(4) + + /* 访问队首元素 */ + let peek = queue.first! + + /* 元素出队 */ + let pool = queue.removeFirst() + + /* 获取队列的长度 */ + let size = queue.count + + /* 判断队列是否为空 */ + let isEmpty = queue.isEmpty ``` ## 队列实现 @@ -627,7 +648,59 @@ comments: true === "Swift" ```swift title="linkedlist_queue.swift" + /* 基于链表实现的队列 */ + class LinkedListQueue { + private var front: ListNode? // 头结点 + private var rear: ListNode? // 尾结点 + private var _size = 0 + init() {} + + /* 获取队列的长度 */ + func size() -> Int { + _size + } + + /* 判断队列是否为空 */ + func isEmpty() -> Bool { + size() == 0 + } + + /* 入队 */ + func offer(num: Int) { + // 尾结点后添加 num + let node = ListNode(x: num) + // 如果队列为空,则令头、尾结点都指向该结点 + if front == nil { + front = node + rear = node + } + // 如果队列不为空,则将该结点添加到尾结点后 + else { + rear?.next = node + rear = node + } + _size += 1 + } + + /* 出队 */ + @discardableResult + func poll() -> Int { + let num = peek() + // 删除头结点 + front = front?.next + _size -= 1 + return num + } + + /* 访问队首元素 */ + func peek() -> Int { + if isEmpty() { + fatalError("队列为空") + } + return front!.val + } + } ``` ### 基于数组的实现 @@ -1042,7 +1115,63 @@ comments: true === "Swift" ```swift title="array_queue.swift" + /* 基于环形数组实现的队列 */ + class ArrayQueue { + private var nums: [Int] // 用于存储队列元素的数组 + private var front = 0 // 头指针,指向队首 + private var rear = 0 // 尾指针,指向队尾 + 1 + init(capacity: Int) { + // 初始化数组 + nums = Array(repeating: 0, count: capacity) + } + + /* 获取队列的容量 */ + func capacity() -> Int { + nums.count + } + + /* 获取队列的长度 */ + func size() -> Int { + let capacity = capacity() + // 由于将数组看作为环形,可能 rear < front ,因此需要取余数 + return (capacity + rear - front) % capacity + } + + /* 判断队列是否为空 */ + func isEmpty() -> Bool { + rear - front == 0 + } + + /* 入队 */ + func offer(num: Int) { + if size() == capacity() { + print("队列已满") + return + } + // 尾结点后添加 num + nums[rear] = num + // 尾指针向后移动一位,越过尾部后返回到数组头部 + rear = (rear + 1) % capacity() + } + + /* 出队 */ + @discardableResult + func poll() -> Int { + let num = peek() + // 队头指针向后移动一位,若越过尾部则返回到数组头部 + front = (front + 1) % capacity() + return num + } + + /* 访问队首元素 */ + func peek() -> Int { + if isEmpty() { + fatalError("队列为空") + } + return nums[front] + } + } ``` ## 队列典型应用 From ac7d26c131c834d10fe951cd3615264a97a5f4fc Mon Sep 17 00:00:00 2001 From: nuomi1 Date: Wed, 11 Jan 2023 23:54:04 +0800 Subject: [PATCH 47/86] refactor: use internal method and remove toArray() method --- .../chapter_stack_and_queue/array_stack.swift | 5 ++-- .../linkedlist_stack.swift | 5 ++-- docs/chapter_stack_and_queue/stack.md | 26 +++++-------------- 3 files changed, 12 insertions(+), 24 deletions(-) diff --git a/codes/swift/chapter_stack_and_queue/array_stack.swift b/codes/swift/chapter_stack_and_queue/array_stack.swift index faeeaa173..144ebec95 100644 --- a/codes/swift/chapter_stack_and_queue/array_stack.swift +++ b/codes/swift/chapter_stack_and_queue/array_stack.swift @@ -29,8 +29,9 @@ class ArrayStack { } /* 出栈 */ + @discardableResult func pop() -> Int { - if stack.isEmpty { + if isEmpty() { fatalError("栈为空") } return stack.removeLast() @@ -38,7 +39,7 @@ class ArrayStack { /* 访问栈顶元素 */ func peek() -> Int { - if stack.isEmpty { + if isEmpty() { fatalError("栈为空") } return stack.last! diff --git a/codes/swift/chapter_stack_and_queue/linkedlist_stack.swift b/codes/swift/chapter_stack_and_queue/linkedlist_stack.swift index 9d3c98b01..97f7dabcc 100644 --- a/codes/swift/chapter_stack_and_queue/linkedlist_stack.swift +++ b/codes/swift/chapter_stack_and_queue/linkedlist_stack.swift @@ -20,7 +20,7 @@ class LinkedListStack { /* 判断栈是否为空 */ func isEmpty() -> Bool { - _size == 0 + size() == 0 } /* 入栈 */ @@ -32,6 +32,7 @@ class LinkedListStack { } /* 出栈 */ + @discardableResult func pop() -> Int { let num = peek() _peek = _peek?.next @@ -41,7 +42,7 @@ class LinkedListStack { /* 访问栈顶元素 */ func peek() -> Int { - if _size == 0 { + if isEmpty() { fatalError("栈为空") } return _peek!.val diff --git a/docs/chapter_stack_and_queue/stack.md b/docs/chapter_stack_and_queue/stack.md index 04825695c..7ff3f15bf 100644 --- a/docs/chapter_stack_and_queue/stack.md +++ b/docs/chapter_stack_and_queue/stack.md @@ -641,7 +641,7 @@ comments: true /* 判断栈是否为空 */ func isEmpty() -> Bool { - _size == 0 + size() == 0 } /* 入栈 */ @@ -653,6 +653,7 @@ comments: true } /* 出栈 */ + @discardableResult func pop() -> Int { let num = peek() _peek = _peek?.next @@ -662,22 +663,11 @@ comments: true /* 访问栈顶元素 */ func peek() -> Int { - if _size == 0 { + if isEmpty() { fatalError("栈为空") } return _peek!.val } - - /* 将 List 转化为 Array 并返回 */ - func toArray() -> [Int] { - var node = _peek - var res = Array(repeating: 0, count: _size) - for i in sequence(first: res.count - 1, next: { $0 >= 0 + 1 ? $0 - 1 : nil }) { - res[i] = node!.val - node = node?.next - } - return res - } } ``` @@ -994,8 +984,9 @@ comments: true } /* 出栈 */ + @discardableResult func pop() -> Int { - if stack.isEmpty { + if isEmpty() { fatalError("栈为空") } return stack.removeLast() @@ -1003,16 +994,11 @@ comments: true /* 访问栈顶元素 */ func peek() -> Int { - if stack.isEmpty { + if isEmpty() { fatalError("栈为空") } return stack.last! } - - /* 将 List 转化为 Array 并返回 */ - func toArray() -> [Int] { - stack - } } ``` From 40b5be53021d459ad22263b4dcc8e56aff5784fa Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Thu, 12 Jan 2023 00:31:11 +0800 Subject: [PATCH 48/86] Unify the naming of the C codes. --- codes/c/chapter_array_and_linkedlist/array.c | 10 +++++----- .../worst_best_time_complexity.c | 2 +- codes/c/chapter_sorting/bubble_sort.c | 8 ++++---- codes/c/chapter_tree/binary_tree.c | 19 +++++++++---------- codes/c/chapter_tree/binary_tree_bfs.c | 6 +++--- codes/c/chapter_tree/binary_tree_dfs.c | 12 ++++++------ codes/c/include/include_test.c | 14 +++++++------- codes/c/include/list_node.h | 10 +++++----- codes/c/include/print_util.h | 6 +++--- codes/c/include/tree_node.h | 12 ++++++------ docs/chapter_sorting/bubble_sort.md | 4 ++-- 11 files changed, 51 insertions(+), 52 deletions(-) diff --git a/codes/c/chapter_array_and_linkedlist/array.c b/codes/c/chapter_array_and_linkedlist/array.c index 11fcb67f9..33dc99903 100644 --- a/codes/c/chapter_array_and_linkedlist/array.c +++ b/codes/c/chapter_array_and_linkedlist/array.c @@ -74,11 +74,11 @@ int main() { int size = 5; int arr[5]; printf("数组 arr = "); - PrintArray(arr, size); + printArray(arr, size); int nums[5] = { 1, 3, 2, 5, 4 }; printf("数组 nums = "); - PrintArray(nums, size); + printArray(nums, size); /* 随机访问 */ int randomNum = randomAccess(nums, size); @@ -89,17 +89,17 @@ int main() { int* res = extend(nums, size, enlarge); size += enlarge; printf("将数组长度扩展至 8 ,得到 nums = "); - PrintArray(res, size); + printArray(res, size); /* 插入元素 */ insert(res, size, 6, 3); printf("在索引 3 处插入数字 6 ,得到 nums = "); - PrintArray(res, size); + printArray(res, size); /* 删除元素 */ removeItem(res, size, 2); printf("删除索引 2 处的元素,得到 nums = "); - PrintArray(res, size); + printArray(res, size); /* 遍历数组 */ traverse(res, size); diff --git a/codes/c/chapter_computational_complexity/worst_best_time_complexity.c b/codes/c/chapter_computational_complexity/worst_best_time_complexity.c index 531a76e51..e5cee821f 100644 --- a/codes/c/chapter_computational_complexity/worst_best_time_complexity.c +++ b/codes/c/chapter_computational_complexity/worst_best_time_complexity.c @@ -41,7 +41,7 @@ int main(int argc, char *argv[]) { int *nums = randomNumbers(n); int index = findOne(nums, n); printf("\n数组 [ 1, 2, ..., n ] 被打乱后 = "); - PrintArray(nums, n); + printArray(nums, n); printf("数字 1 的索引为 %d\n", index); // 释放堆区内存 if (nums != NULL) { diff --git a/codes/c/chapter_sorting/bubble_sort.c b/codes/c/chapter_sorting/bubble_sort.c index 4a2a24b44..51bab6c64 100644 --- a/codes/c/chapter_sorting/bubble_sort.c +++ b/codes/c/chapter_sorting/bubble_sort.c @@ -7,7 +7,7 @@ #include "../include/include.h" /* 冒泡排序 */ -void bubble_sort(int nums[], int size) { +void bubbleSort(int nums[], int size) { // 外循环:待排序元素数量为 n-1, n-2, ..., 1 for (int i = 0; i < size - 1; i++) { @@ -25,7 +25,7 @@ void bubble_sort(int nums[], int size) { } /* 冒泡排序(标志优化)*/ -void bubble_sort_with_flag(int nums[], int size) { +void bubbleSortWithFlag(int nums[], int size) { // 外循环:待排序元素数量为 n-1, n-2, ..., 1 for (int i = 0; i < size - 1; i++) { @@ -51,14 +51,14 @@ void bubble_sort_with_flag(int nums[], int size) { int main() { int nums[6] = {4, 1, 3, 1, 5, 2}; printf("冒泡排序后: "); - bubble_sort(nums, 6); + bubbleSort(nums, 6); for (int i = 0; i < 6; i++) { printf("%d ", nums[i]); } printf("\n优化版冒泡排序后: "); - bubble_sort_with_flag(nums, 6); + bubbleSortWithFlag(nums, 6); for (int i = 0; i < 6; i++) { printf("%d ", nums[i]); diff --git a/codes/c/chapter_tree/binary_tree.c b/codes/c/chapter_tree/binary_tree.c index 0a2f946a7..1eb8e846a 100644 --- a/codes/c/chapter_tree/binary_tree.c +++ b/codes/c/chapter_tree/binary_tree.c @@ -10,34 +10,33 @@ int main() { /* 初始化二叉树 */ // 初始化结点 - TreeNode* n1 = NewTreeNode(1); - TreeNode* n2 = NewTreeNode(2); - TreeNode* n3 = NewTreeNode(3); - TreeNode* n4 = NewTreeNode(4); - TreeNode* n5 = NewTreeNode(5); + TreeNode* n1 = newTreeNode(1); + TreeNode* n2 = newTreeNode(2); + TreeNode* n3 = newTreeNode(3); + TreeNode* n4 = newTreeNode(4); + TreeNode* n5 = newTreeNode(5); // 构建引用指向(即指针) n1->left = n2; n1->right = n3; n2->left = n4; n2->right = n5; printf("初始化二叉树\n"); - PrintTree(n1); + printTree(n1); /* 插入与删除结点 */ - TreeNode* P = NewTreeNode(0); + TreeNode* P = newTreeNode(0); // 在 n1 -> n2 中间插入结点 P n1->left = P; P->left = n2; printf("插入结点 P 后\n"); - PrintTree(n1); + printTree(n1); // 删除结点 P n1->left = n2; // 释放内存 free(P); printf("删除结点 P 后\n"); - PrintTree(n1); + printTree(n1); return 0; } - diff --git a/codes/c/chapter_tree/binary_tree_bfs.c b/codes/c/chapter_tree/binary_tree_bfs.c index abad3735f..c7b83b912 100644 --- a/codes/c/chapter_tree/binary_tree_bfs.c +++ b/codes/c/chapter_tree/binary_tree_bfs.c @@ -52,15 +52,15 @@ int main() { // 这里借助了一个从数组直接生成二叉树的函数 int nums[] = {1, 2, 3, NIL, 5, 6, NIL}; int size = sizeof(nums) / sizeof(int); - TreeNode *root = ArrayToTree(nums, size); + TreeNode *root = arrToTree(nums, size); printf("初始化二叉树\n"); - PrintTree(root); + printTree(root); /* 层序遍历 */ // 需要传入数组的长度 int *arr = levelOrder(root, &size); printf("层序遍历的结点打印序列 = "); - PrintArray(arr, size); + printArray(arr, size); return 0; } \ No newline at end of file diff --git a/codes/c/chapter_tree/binary_tree_dfs.c b/codes/c/chapter_tree/binary_tree_dfs.c index f72e6687b..bafc90fd1 100644 --- a/codes/c/chapter_tree/binary_tree_dfs.c +++ b/codes/c/chapter_tree/binary_tree_dfs.c @@ -43,10 +43,10 @@ int main() { /* 初始化二叉树 */ // 这里借助了一个从数组直接生成二叉树的函数 int nums[] = {1, 2, 3, 4, 5, 6, 7}; - int size = sizeof(nums) / sizt ceof(int); - TreeNode *root = ArrayToTree(nums, size); + int size = sizeof(nums) / sizeof(int); + TreeNode *root = arrToTree(nums, size); printf("初始化二叉树\n"); - PrintTree(root); + printTree(root); /* 前序遍历 */ // 初始化辅助数组 @@ -54,19 +54,19 @@ int main() { size = 0; preOrder(root, &size); printf("前序遍历的结点打印序列 = "); - PrintArray(arr, size); + printArray(arr, size); /* 中序遍历 */ size = 0; inOrder(root, &size); printf("中序遍历的结点打印序列 = "); - PrintArray(arr, size); + printArray(arr, size); /* 后序遍历 */ size = 0; postOrder(root, &size); printf("后序遍历的结点打印序列 = "); - PrintArray(arr, size); + printArray(arr, size); return 0; } diff --git a/codes/c/include/include_test.c b/codes/c/include/include_test.c index baa8e649d..602670d68 100644 --- a/codes/c/include/include_test.c +++ b/codes/c/include/include_test.c @@ -9,24 +9,24 @@ void testListNode() { int nums[] = {2, 3, 5, 6, 7}; int size = sizeof(nums) / sizeof(int); - ListNode *head = ArrayToLinkedList(nums, size); - PrintLinkedList(head); + ListNode *head = arrToLinkedList(nums, size); + printLinkedList(head); - ListNode *node = GetListNode(head, 5); + ListNode *node = getListNode(head, 5); printf("find node: %d\n", node->val); } void testTreeNode() { int nums[] = {1, 2, 3, NIL, 5, 6, NIL}; int size = sizeof(nums) / sizeof(int); - TreeNode *root = ArrayToTree(nums, size); + TreeNode *root = arrToTree(nums, size); // print tree - PrintTree(root); + printTree(root); // tree to arr - int *arr = TreeToArray(root); - PrintArray(arr, size); + int *arr = treeToArr(root); + printArray(arr, size); } int main(int argc, char *argv[]) { diff --git a/codes/c/include/list_node.h b/codes/c/include/list_node.h index 5597d2102..1845ffafd 100644 --- a/codes/c/include/list_node.h +++ b/codes/c/include/list_node.h @@ -22,7 +22,7 @@ struct ListNode { // typedef 为 C 语言的关键字,作用是为一种数据类型定义一个新名字 typedef struct ListNode ListNode; -ListNode *NewListNode(int val) { +ListNode *newListNode(int val) { ListNode *node, *next; node = (ListNode *) malloc(sizeof(ListNode)); node->val = val; @@ -37,15 +37,15 @@ ListNode *NewListNode(int val) { * @return ListNode* */ -ListNode *ArrayToLinkedList(const int *arr, size_t size) { +ListNode *arrToLinkedList(const int *arr, size_t size) { if (size <= 0) { return NULL; } - ListNode *dummy = NewListNode(0); + ListNode *dummy = newListNode(0); ListNode *node = dummy; for (int i = 0; i < size; i++) { - node->next = NewListNode(arr[i]); + node->next = newListNode(arr[i]); node = node->next; } return dummy->next; @@ -58,7 +58,7 @@ ListNode *ArrayToLinkedList(const int *arr, size_t size) { * @param val * @return ListNode* */ -ListNode *GetListNode(ListNode *head, int val) { +ListNode *getListNode(ListNode *head, int val) { while (head != NULL && head->val != val) { head = head->next; } diff --git a/codes/c/include/print_util.h b/codes/c/include/print_util.h index fcb0a4ca6..a0c3a1500 100644 --- a/codes/c/include/print_util.h +++ b/codes/c/include/print_util.h @@ -25,7 +25,7 @@ extern "C" { * @param arr * @param size */ -static void PrintArray(int *arr, int size) { +static void printArray(int *arr, int size) { printf("["); for (int i = 0; i < size - 1; i++) { if (arr[i] != NIL) { @@ -46,7 +46,7 @@ static void PrintArray(int *arr, int size) { * * @param head */ -static void PrintLinkedList(ListNode *node) { +static void printLinkedList(ListNode *node) { if (node == NULL) { return; } @@ -123,7 +123,7 @@ static void printTreeHelper(TreeNode *node, Trunk *prev, bool isLeft) { * * @param head */ -static void PrintTree(TreeNode *root) { +static void printTree(TreeNode *root) { printTreeHelper(root, NULL, false); } diff --git a/codes/c/include/tree_node.h b/codes/c/include/tree_node.h index 4b0e70187..c0438c437 100644 --- a/codes/c/include/tree_node.h +++ b/codes/c/include/tree_node.h @@ -25,7 +25,7 @@ struct TreeNode { typedef struct TreeNode TreeNode; -TreeNode *NewTreeNode(int val) { +TreeNode *newTreeNode(int val) { TreeNode *node; node = (TreeNode *) malloc(sizeof(TreeNode)); @@ -43,7 +43,7 @@ TreeNode *NewTreeNode(int val) { * @param size * @return TreeNode * */ -TreeNode *ArrayToTree(const int *arr, size_t size) { +TreeNode *arrToTree(const int *arr, size_t size) { if (size <= 0) { return NULL; } @@ -53,7 +53,7 @@ TreeNode *ArrayToTree(const int *arr, size_t size) { TreeNode **queue; /* 根结点 */ - root = NewTreeNode(arr[0]); + root = newTreeNode(arr[0]); /* 辅助队列 */ queue = (TreeNode **) malloc(sizeof(TreeNode) * MAX_NODE_SIZE); // 队列指针 @@ -68,14 +68,14 @@ TreeNode *ArrayToTree(const int *arr, size_t size) { index++; if (index < size) { if (arr[index] != NIL) { - node->left = NewTreeNode(arr[index]); + node->left = newTreeNode(arr[index]); queue[rear++] = node->left; } } index++; if (index < size) { if (arr[index] != NIL) { - node->right = NewTreeNode(arr[index]); + node->right = newTreeNode(arr[index]); queue[rear++] = node->right; } } @@ -91,7 +91,7 @@ TreeNode *ArrayToTree(const int *arr, size_t size) { * @param size * @return TreeNode * */ -int *TreeToArray(TreeNode *root) { +int *treeToArr(TreeNode *root) { if (root == NULL) { return NULL; } diff --git a/docs/chapter_sorting/bubble_sort.md b/docs/chapter_sorting/bubble_sort.md index e3e394b20..3bb0bc994 100644 --- a/docs/chapter_sorting/bubble_sort.md +++ b/docs/chapter_sorting/bubble_sort.md @@ -170,7 +170,7 @@ comments: true ```c title="bubble_sort.c" /* 冒泡排序 */ - void bubble_sort(int nums[], int size) { + void bubbleSort(int nums[], int size) { // 外循环:待排序元素数量为 n-1, n-2, ..., 1 for (int i = 0; i < size - 1; i++) { @@ -373,7 +373,7 @@ comments: true ```c title="bubble_sort.c" /* 冒泡排序 */ - void bubble_sort(int nums[], int size) { + void bubbleSortWithFlag(int nums[], int size) { // 外循环:待排序元素数量为 n-1, n-2, ..., 1 for (int i = 0; i < size - 1; i++) { From 274d6a5882cd01cc2c473fac0640a413e433d790 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Thu, 12 Jan 2023 00:39:08 +0800 Subject: [PATCH 49/86] Remove a IDE-related file. --- .prettierrc | 4 ---- 1 file changed, 4 deletions(-) delete mode 100644 .prettierrc diff --git a/.prettierrc b/.prettierrc deleted file mode 100644 index 5a938ce18..000000000 --- a/.prettierrc +++ /dev/null @@ -1,4 +0,0 @@ -{ - "tabWidth": 4, - "useTabs": false -} From 3abcefae99165efd78c007a1737e8fb156e5f56e Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Thu, 12 Jan 2023 04:08:45 +0800 Subject: [PATCH 50/86] Update heap. --- .../java/chapter_hashing/array_hash_map.java | 1 + codes/java/chapter_hashing/hash_map.java | 1 + codes/java/chapter_heap/heap.java | 9 +- codes/java/chapter_heap/my_heap.java | 32 ++--- .../heap.assets/heap_poll_step1.png | Bin 0 -> 70281 bytes .../heap.assets/heap_poll_step10.png | Bin 0 -> 90820 bytes .../heap.assets/heap_poll_step2.png | Bin 0 -> 67583 bytes .../heap.assets/heap_poll_step3.png | Bin 0 -> 70220 bytes .../heap.assets/heap_poll_step4.png | Bin 0 -> 83162 bytes .../heap.assets/heap_poll_step5.png | Bin 0 -> 91437 bytes .../heap.assets/heap_poll_step6.png | Bin 0 -> 87190 bytes .../heap.assets/heap_poll_step7.png | Bin 0 -> 96058 bytes .../heap.assets/heap_poll_step8.png | Bin 0 -> 89271 bytes .../heap.assets/heap_poll_step9.png | Bin 0 -> 97988 bytes .../heap.assets/heap_push_step1.png | Bin 0 -> 70363 bytes .../heap.assets/heap_push_step2.png | Bin 0 -> 67080 bytes .../heap.assets/heap_push_step3.png | Bin 0 -> 83246 bytes .../heap.assets/heap_push_step4.png | Bin 0 -> 85784 bytes .../heap.assets/heap_push_step5.png | Bin 0 -> 86726 bytes .../heap.assets/heap_push_step6.png | Bin 0 -> 86922 bytes .../heap.assets/heapify_count.png | Bin 0 -> 65310 bytes .../heap.assets/min_heap_and_max_heap.png | Bin 0 -> 81457 bytes .../heap.assets/representation_of_heap.png | Bin 0 -> 115505 bytes docs/chapter_heap/heap.md | 130 ++++++++++++------ 24 files changed, 112 insertions(+), 61 deletions(-) create mode 100644 docs/chapter_heap/heap.assets/heap_poll_step1.png create mode 100644 docs/chapter_heap/heap.assets/heap_poll_step10.png create mode 100644 docs/chapter_heap/heap.assets/heap_poll_step2.png create mode 100644 docs/chapter_heap/heap.assets/heap_poll_step3.png create mode 100644 docs/chapter_heap/heap.assets/heap_poll_step4.png create mode 100644 docs/chapter_heap/heap.assets/heap_poll_step5.png create mode 100644 docs/chapter_heap/heap.assets/heap_poll_step6.png create mode 100644 docs/chapter_heap/heap.assets/heap_poll_step7.png create mode 100644 docs/chapter_heap/heap.assets/heap_poll_step8.png create mode 100644 docs/chapter_heap/heap.assets/heap_poll_step9.png create mode 100644 docs/chapter_heap/heap.assets/heap_push_step1.png create mode 100644 docs/chapter_heap/heap.assets/heap_push_step2.png create mode 100644 docs/chapter_heap/heap.assets/heap_push_step3.png create mode 100644 docs/chapter_heap/heap.assets/heap_push_step4.png create mode 100644 docs/chapter_heap/heap.assets/heap_push_step5.png create mode 100644 docs/chapter_heap/heap.assets/heap_push_step6.png create mode 100644 docs/chapter_heap/heap.assets/heapify_count.png create mode 100644 docs/chapter_heap/heap.assets/min_heap_and_max_heap.png create mode 100644 docs/chapter_heap/heap.assets/representation_of_heap.png diff --git a/codes/java/chapter_hashing/array_hash_map.java b/codes/java/chapter_hashing/array_hash_map.java index 68df1f3b9..980a00ab7 100644 --- a/codes/java/chapter_hashing/array_hash_map.java +++ b/codes/java/chapter_hashing/array_hash_map.java @@ -5,6 +5,7 @@ */ package chapter_hashing; + import java.util.*; /* 键值对 int->String */ diff --git a/codes/java/chapter_hashing/hash_map.java b/codes/java/chapter_hashing/hash_map.java index fe3f822f4..47f4823bf 100644 --- a/codes/java/chapter_hashing/hash_map.java +++ b/codes/java/chapter_hashing/hash_map.java @@ -5,6 +5,7 @@ */ package chapter_hashing; + import java.util.*; import include.*; diff --git a/codes/java/chapter_heap/heap.java b/codes/java/chapter_heap/heap.java index b964830fd..1a0c53b94 100644 --- a/codes/java/chapter_heap/heap.java +++ b/codes/java/chapter_heap/heap.java @@ -13,13 +13,13 @@ import java.util.*; public class heap { public static void testPush(Queue heap, int val) { heap.add(val); // 元素入堆 - System.out.format("\n添加元素 %d 后\n", val); + System.out.format("\n元素 %d 入堆后\n", val); PrintUtil.printHeap(heap); } public static void testPoll(Queue heap) { int val = heap.poll(); // 堆顶元素出堆 - System.out.format("\n出堆元素为 %d\n", val); + System.out.format("\n堆顶元素 %d 出堆后\n", val); PrintUtil.printHeap(heap); } @@ -46,6 +46,9 @@ public class heap { /* 堆顶元素出堆 */ testPoll(maxHeap); testPoll(maxHeap); + testPoll(maxHeap); + testPoll(maxHeap); + testPoll(maxHeap); /* 获取堆大小 */ int size = maxHeap.size(); @@ -58,7 +61,7 @@ public class heap { /* 输入列表并建堆 */ // 时间复杂度为 O(n) ,而非 O(nlogn) minHeap = new PriorityQueue<>(Arrays.asList(1, 3, 2, 5, 4)); - System.out.println("\n输入 [1, 3, 2, 5, 4] ,建立小顶堆"); + System.out.println("\n输入列表并建立小顶堆后"); PrintUtil.printHeap(minHeap); } } diff --git a/codes/java/chapter_heap/my_heap.java b/codes/java/chapter_heap/my_heap.java index 8fd748217..b80ce6d08 100644 --- a/codes/java/chapter_heap/my_heap.java +++ b/codes/java/chapter_heap/my_heap.java @@ -146,26 +146,25 @@ public class my_heap { } public static void main(String[] args) { - /* 初始化堆 */ - // 初始化大顶堆 - MaxHeap maxHeap = new MaxHeap(); - - System.out.println("\n以下测试样例为大顶堆"); - - /* 元素入堆 */ - testPush(maxHeap, 1); - testPush(maxHeap, 3); - testPush(maxHeap, 2); - testPush(maxHeap, 5); - testPush(maxHeap, 4); + /* 初始化大顶堆 */ + MaxHeap maxHeap = new MaxHeap(Arrays.asList(9, 8, 6, 6, 7, 5, 2, 1, 4, 3, 6, 2)); + System.out.println("\n输入列表并建堆后"); + maxHeap.print(); /* 获取堆顶元素 */ int peek = maxHeap.peek(); System.out.format("\n堆顶元素为 %d\n", peek); + /* 元素入堆 */ + int val = 7; + maxHeap.push(val); + System.out.format("\n元素 %d 入堆后\n", val); + maxHeap.print(); + /* 堆顶元素出堆 */ - testPoll(maxHeap); - testPoll(maxHeap); + peek = maxHeap.poll(); + 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z(Nl3_C$ET-5jS$v8sq#VV>tx?|A-H?TNoC8!G68XH3J#GizW&`8Mt$}zrWx6P*LHm z^E4Z6#y17w*YDpSCpJ%n(>@FE39M{1GtM6-gkCcLi^?@7hQCP4$M(g|eY~Kwe&`$A r9Dwk6c`odmNN&CI)e_JAAvwXx<@2OwFFspB0Dtn(2ar-Jlc4_rHR>vm literal 0 HcmV?d00001 diff --git a/docs/chapter_heap/heap.md b/docs/chapter_heap/heap.md index f41826159..37e5aaf66 100644 --- a/docs/chapter_heap/heap.md +++ b/docs/chapter_heap/heap.md @@ -9,15 +9,13 @@ comments: true - 「大顶堆 Max Heap」,任意结点的值 $\geq$ 其子结点的值; - 「小顶堆 Min Heap」,任意结点的值 $\leq$ 其子结点的值; -由于堆是完全二叉树,因此最底层结点靠左填充,其它层结点皆被填满。 +![min_heap_and_max_heap](heap.assets/min_heap_and_max_heap.png) -对于大顶堆(小顶堆),其根结点的值最大(最小)。根结点被称为「堆顶」。 +## 堆术语与性质 -(图) - -!!! tip - - 大顶堆和小顶堆的定义、性质、操作本质上是相同的,区别只是大、小顶堆分别在求最大、最小值。若无特别说明,本文将使用大顶堆来举例。 +- 由于堆是完全二叉树,因此最底层结点靠左填充,其它层结点皆被填满。 +- 二叉树中的根结点对应「堆顶」,底层最靠右结点对应「堆底」。 +- 对于大顶堆 / 小顶堆,其堆顶元素(即根结点)的值最大 / 最小。 ## 堆常用操作 @@ -43,6 +41,10 @@ comments: true 我们可以直接使用编程语言提供的堆类(或优先队列类)。 +!!! tip + + 类似于排序中“从小到大排列”和“从大到小排列”,“大顶堆”和“小顶堆”可仅通过修改 Comparator 来互相转换。 + === "Java" ```java title="heap.java" @@ -60,10 +62,15 @@ comments: true maxHeap.add(4); /* 获取堆顶元素 */ - int peek = maxHeap.peek(); + int peek = maxHeap.peek(); // 5 /* 堆顶元素出堆 */ - int val = heap.poll(); + // 出堆元素会形成一个从大到小的序列 + peek = heap.poll(); // 5 + peek = heap.poll(); // 4 + peek = heap.poll(); // 3 + peek = heap.poll(); // 2 + peek = heap.poll(); // 1 /* 获取堆大小 */ int size = maxHeap.size(); @@ -77,19 +84,19 @@ comments: true ## 堆的实现 -!!! tip - - 下文使用「大顶堆」来举例,将所有 $>$ ($<$) 替换为 $<$ ($>$) 即可实现「小顶堆」。 +下文实现的是「大顶堆」,若想转换为「小顶堆」,将所有大小逻辑判断取逆(例如将 $\geq$ 替换为 $\leq$ )即可,有兴趣的同学可自行实现。 ### 堆的存储与表示 -在二叉树章节我们学过,「完全二叉树」非常适合使用「数组」来表示,而堆恰好是一颗完全二叉树,因而我们一般使用「数组」来存储「堆」。 +在二叉树章节我们学过,「完全二叉树」非常适合使用「数组」来表示,而堆恰好是一颗完全二叉树,**因而我们采用「数组」来存储「堆」**。 **二叉树指针**。使用数组表示二叉树时,元素代表结点值,索引代表结点在二叉树中的位置,**而结点指针通过索引映射公式来实现**。 -具体地,给定索引 $i$ ,那么其左子结点索引为 $2i + 1$ 、右子结点索引为 $2i + 2$ 、父结点索引为 $(i - 1) / 2$ (向下整除)。当索引越界时,代表空结点或结点不存在。我们将以上映射公式封装成函数,以便后续使用。 +具体地,给定索引 $i$ ,那么其左子结点索引为 $2i + 1$ 、右子结点索引为 $2i + 2$ 、父结点索引为 $(i - 1) / 2$ (向下整除)。当索引越界时,代表空结点或结点不存在。 -(图) +![representation_of_heap](heap.assets/representation_of_heap.png) + +我们将索引映射公式封装成函数,以便后续使用。 === "Java" @@ -133,13 +140,29 @@ comments: true ### 元素入堆 -给定元素 `val` ,我们先将其添加到堆的末尾。由于 `val` 可能大于堆中其它元素,此时堆的成立条件可能已经被破坏,**因此需要修复从插入结点到根结点这条路径上的各个结点**,该操作被称为「堆化 Heapify」。 +给定元素 `val` ,我们先将其添加到堆底。添加后,由于 `val` 可能大于堆中其它元素,此时堆的成立条件可能已经被破坏,**因此需要修复从插入结点到根结点这条路径上的各个结点**,该操作被称为「堆化 Heapify」。 考虑从入堆结点开始,**从底至顶执行堆化**。具体地,比较插入结点与其父结点的值,若插入结点更大则将它们交换;并循环以上操作,从底至顶地修复堆中的各个结点;直至越过根结点时结束,或当遇到无需交换的结点时提前结束。 -设结点总数为 $n$ ,则树的高度为 $O(\log n)$ ,易得堆化操作的循环轮数最多为 $O(\log n)$ ,**因而元素入堆操作的时间复杂度为 $O(\log n)$** 。 +=== "Step 1" + ![heap_push_step1](heap.assets/heap_push_step1.png) -(图) +=== "Step 2" + ![heap_push_step2](heap.assets/heap_push_step2.png) + +=== "Step 3" + ![heap_push_step3](heap.assets/heap_push_step3.png) + +=== "Step 4" + ![heap_push_step4](heap.assets/heap_push_step4.png) + +=== "Step 5" + ![heap_push_step5](heap.assets/heap_push_step5.png) + +=== "Step 6" + ![heap_push_step6](heap.assets/heap_push_step6.png) + +设结点总数为 $n$ ,则树的高度为 $O(\log n)$ ,易得堆化操作的循环轮数最多为 $O(\log n)$ ,**因而元素入堆操作的时间复杂度为 $O(\log n)$** 。 === "Java" @@ -172,13 +195,43 @@ comments: true 堆顶元素是二叉树根结点,即列表首元素,如果我们直接将首元素从列表中删除,则二叉树中所有结点都会随之发生移位(索引发生变化),这样后续使用堆化修复就很麻烦了。为了尽量减少元素索引变动,采取以下操作步骤: -1. 交换列表首元素与尾元素(即交换根结点与最右叶结点); -2. 交换完成后,将尾元素从列表中删除(此时堆顶元素已被删除); -3. 从根结点开始,从顶至底堆化; +1. 交换堆顶元素与堆底元素(即交换根结点与最右叶结点); +2. 交换完成后,将堆底从列表中删除(注意,因为已经交换,实际上删除的是原来的堆顶元素); +3. 从根结点开始,**从顶至底执行堆化**; 顾名思义,**从顶至底堆化的操作方向与从底至顶堆化相反**,我们比较根结点的值与其两个子结点的值,将最大的子结点与根结点执行交换,并循环以上操作,直到越过叶结点时结束,或当遇到无需交换的结点时提前结束。 -(图) +=== "Step 1" + ![heap_poll_step1](heap.assets/heap_poll_step1.png) + +=== "Step 2" + ![heap_poll_step2](heap.assets/heap_poll_step2.png) + +=== "Step 3" + ![heap_poll_step3](heap.assets/heap_poll_step3.png) + +=== "Step 4" + ![heap_poll_step4](heap.assets/heap_poll_step4.png) + +=== "Step 5" + ![heap_poll_step5](heap.assets/heap_poll_step5.png) + +=== "Step 6" + ![heap_poll_step6](heap.assets/heap_poll_step6.png) + +=== "Step 7" + ![heap_poll_step7](heap.assets/heap_poll_step7.png) + +=== "Step 8" + ![heap_poll_step8](heap.assets/heap_poll_step8.png) + +=== "Step 9" + ![heap_poll_step9](heap.assets/heap_poll_step9.png) + +=== "Step 10" + ![heap_poll_step10](heap.assets/heap_poll_step10.png) + +与元素入堆操作类似,**堆顶元素出堆操作的时间复杂度为 $O(\log n)$** 。 === "Java" @@ -237,48 +290,47 @@ comments: true } ``` -!!! tip +那么,第二种建堆方法的时间复杂度时多少呢?我们来做一下简单推算。 - 完全二叉树中,设结点总数为 $n$ ,则叶结点数量为 $(n + 1) / 2$ ,其中 $/$ 为向下整除。 +- 完全二叉树中,设结点总数为 $n$ ,则叶结点数量为 $(n + 1) / 2$ ,其中 $/$ 为向下整除。因此在排除叶结点后,需要堆化结点数量为 $(n - 1)/2$ ,即为 $O(n)$ ; +- 从顶至底堆化中,每个结点最多堆化至叶结点,因此最大迭代次数为二叉树高度 $O(\log n)$ ; -那么,第二种建堆方法的时间复杂度时多少呢?我们来做一下简单推算。排除叶结点后,需要堆化结点数量为 $(n - 1)/2$ ,即为 $O(n)$ ,而二叉树高度为 $O(\log n)$ ,因此可得时间复杂度为 $O(n \log n)$ 。 +将上述两者相乘,可得时间复杂度为 $O(n \log n)$ 。然而,该估算结果仍不够准确,因为我们没有考虑到 **二叉树底层结点远多于顶层结点** 的性质。 -然而,该估算结果仍不够准确,因为我们没有考虑到 **二叉树底层结点远多于顶层结点** 的特点。下面我们来换种方法推导。 - -设二叉树(即堆)结点数量为 $n$ ,树高度为 $h$ 。如下图所示,我们将各层的“结点数量 $\times$ 子树高度”进行求和,即可得到准确的操作数量。 +下面我们来尝试展开计算。为了减小计算难度,我们假设树是一个「完美二叉树」,该假设不会影响计算结果的正确性。设二叉树(即堆)结点数量为 $n$ ,树高度为 $h$ 。上文提到,**结点堆化最大迭代次数等于该结点到叶结点的距离,而这正是“结点高度”**。因此,我们将各层的“结点数量 $\times$ 结点高度”求和,即可得到所有结点的堆化的迭代次数总和。 $$ -S = 2^0h + 2^1(h-1) + 2^2(h-2) + \cdots + 2^{(h-1)}\times1 +T(h) = 2^0h + 2^1(h-1) + 2^2(h-2) + \cdots + 2^{(h-1)}\times1 $$ -(图) +![heapify_count](heap.assets/heapify_count.png) -求解上式需要借助中学的数列知识,先对 $S$ 乘以 $2$ ,可得 +化简上式需要借助中学的数列知识,先对 $T(h)$ 乘以 $2$ ,易得 $$ \begin{aligned} -S & = 2^0h + 2^1(h-1) + 2^2(h-2) + \cdots + 2^{h-1}\times1 \newline -2S & = 2^1h + 2^2(h-1) + 2^3(h-2) + \cdots + 2^{h}\times1 \newline +T(h) & = 2^0h + 2^1(h-1) + 2^2(h-2) + \cdots + 2^{h-1}\times1 \newline +2 T(h) & = 2^1h + 2^2(h-1) + 2^3(h-2) + \cdots + 2^{h}\times1 \newline \end{aligned} $$ -令下式 $2S$ 与上式 $S$ 错位相减,易得 +**使用错位相减法**,令下式 $2 T(h)$ 减去上式 $T(h)$ ,可得 $$ -2S - S = S = -2^0h + 2^1 + 2^2 + \cdots + 2^{h-1} + 2^h +2T(h) - T(h) = T(h) = -2^0h + 2^1 + 2^2 + \cdots + 2^{h-1} + 2^h $$ -观察发现,$S$ 是一个等比数列,可直接借助公式求和。并且,对于高度为 $h$ 的完全二叉树,结点数量范围为 $n \in [2^h, 2^{h+1} - 1]$ ,复杂度为 $n = O(n) = O(2^h)$。 +观察上式,$T(h)$ 是一个等比数列,可直接使用求和公式,得到时间复杂度为 $$ \begin{aligned} -S & = 2 \frac{1 - 2^h}{1 - 2} - h \newline +T(h) & = 2 \frac{1 - 2^h}{1 - 2} - h \newline & = 2^{h+1} - h \newline -& = O(2^h) = O(n) +& = O(2^h) \end{aligned} $$ -以上推算表明,输入列表并建堆的时间复杂度为 $O(n)$ ,非常高效。 +进一步地,高度为 $h$ 的完美二叉树的结点数量为 $n = 2^{h+1} - 1$ ,易得复杂度为 $O(2^h) = O(n)$。以上推算表明,**输入列表并建堆的时间复杂度为 $O(n)$ ,非常高效**。 ## 堆常见应用 From d1d2c429b704faa7b5dcf2d1b3895d8860371648 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Thu, 12 Jan 2023 04:19:59 +0800 Subject: [PATCH 51/86] Add multi-language code blocks to heap. --- docs/chapter_heap/heap.md | 288 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 288 insertions(+) diff --git a/docs/chapter_heap/heap.md b/docs/chapter_heap/heap.md index 37e5aaf66..73f425ff7 100644 --- a/docs/chapter_heap/heap.md +++ b/docs/chapter_heap/heap.md @@ -82,6 +82,54 @@ comments: true minHeap = new PriorityQueue<>(Arrays.asList(1, 3, 2, 5, 4)); ``` +=== "C++" + + ```cpp title="heap.cpp" + + ``` + +=== "Python" + + ```python title="heap.py" + + ``` + +=== "Go" + + ```go title="heap.go" + + ``` + +=== "JavaScript" + + ```js title="heap.js" + + ``` + +=== "TypeScript" + + ```typescript title="heap.ts" + + ``` + +=== "C" + + ```c title="heap.c" + + ``` + +=== "C#" + + ```csharp title="heap.cs" + + ``` + +=== "Swift" + + ```swift title="heap.swift" + + ``` + ## 堆的实现 下文实现的是「大顶堆」,若想转换为「小顶堆」,将所有大小逻辑判断取逆(例如将 $\geq$ 替换为 $\leq$ )即可,有兴趣的同学可自行实现。 @@ -125,6 +173,54 @@ comments: true } ``` +=== "C++" + + ```cpp title="my_heap.cpp" + + ``` + +=== "Python" + + ```python title="my_heap.py" + + ``` + +=== "Go" + + ```go title="my_heap.go" + + ``` + +=== "JavaScript" + + ```js title="my_heap.js" + + ``` + +=== "TypeScript" + + ```typescript title="my_heap.ts" + + ``` + +=== "C" + + ```c title="my_heap.c" + + ``` + +=== "C#" + + ```csharp title="my_heap.cs" + + ``` + +=== "Swift" + + ```swift title="my_heap.swift" + + ``` + ### 访问堆顶元素 堆顶元素是二叉树的根结点,即列表首元素。 @@ -138,6 +234,54 @@ comments: true } ``` +=== "C++" + + ```cpp title="my_heap.cpp" + + ``` + +=== "Python" + + ```python title="my_heap.py" + + ``` + +=== "Go" + + ```go title="my_heap.go" + + ``` + +=== "JavaScript" + + ```js title="my_heap.js" + + ``` + +=== "TypeScript" + + ```typescript title="my_heap.ts" + + ``` + +=== "C" + + ```c title="my_heap.c" + + ``` + +=== "C#" + + ```csharp title="my_heap.cs" + + ``` + +=== "Swift" + + ```swift title="my_heap.swift" + + ``` + ### 元素入堆 给定元素 `val` ,我们先将其添加到堆底。添加后,由于 `val` 可能大于堆中其它元素,此时堆的成立条件可能已经被破坏,**因此需要修复从插入结点到根结点这条路径上的各个结点**,该操作被称为「堆化 Heapify」。 @@ -191,6 +335,54 @@ comments: true } ``` +=== "C++" + + ```cpp title="my_heap.cpp" + + ``` + +=== "Python" + + ```python title="my_heap.py" + + ``` + +=== "Go" + + ```go title="my_heap.go" + + ``` + +=== "JavaScript" + + ```js title="my_heap.js" + + ``` + +=== "TypeScript" + + ```typescript title="my_heap.ts" + + ``` + +=== "C" + + ```c title="my_heap.c" + + ``` + +=== "C#" + + ```csharp title="my_heap.cs" + + ``` + +=== "Swift" + + ```swift title="my_heap.swift" + + ``` + ### 堆顶元素出堆 堆顶元素是二叉树根结点,即列表首元素,如果我们直接将首元素从列表中删除,则二叉树中所有结点都会随之发生移位(索引发生变化),这样后续使用堆化修复就很麻烦了。为了尽量减少元素索引变动,采取以下操作步骤: @@ -270,6 +462,54 @@ comments: true } ``` +=== "C++" + + ```cpp title="my_heap.cpp" + + ``` + +=== "Python" + + ```python title="my_heap.py" + + ``` + +=== "Go" + + ```go title="my_heap.go" + + ``` + +=== "JavaScript" + + ```js title="my_heap.js" + + ``` + +=== "TypeScript" + + ```typescript title="my_heap.ts" + + ``` + +=== "C" + + ```c title="my_heap.c" + + ``` + +=== "C#" + + ```csharp title="my_heap.cs" + + ``` + +=== "Swift" + + ```swift title="my_heap.swift" + + ``` + ### 输入数据并建堆 * 如果我们想要直接输入一个列表并将其建堆,那么该怎么做呢?最直接地,考虑使用「元素入堆」方法,将列表元素依次入堆。元素入堆的时间复杂度为 $O(n)$ ,而平均长度为 $\frac{n}{2}$ ,因此该方法的总体时间复杂度为 $O(n \log n)$ 。 @@ -290,6 +530,54 @@ comments: true } ``` +=== "C++" + + ```cpp title="my_heap.cpp" + + ``` + +=== "Python" + + ```python title="my_heap.py" + + ``` + +=== "Go" + + ```go title="my_heap.go" + + ``` + +=== "JavaScript" + + ```js title="my_heap.js" + + ``` + +=== "TypeScript" + + ```typescript title="my_heap.ts" + + ``` + +=== "C" + + ```c title="my_heap.c" + + ``` + +=== "C#" + + ```csharp title="my_heap.cs" + + ``` + +=== "Swift" + + ```swift title="my_heap.swift" + + ``` + 那么,第二种建堆方法的时间复杂度时多少呢?我们来做一下简单推算。 - 完全二叉树中,设结点总数为 $n$ ,则叶结点数量为 $(n + 1) / 2$ ,其中 $/$ 为向下整除。因此在排除叶结点后,需要堆化结点数量为 $(n - 1)/2$ ,即为 $O(n)$ ; From e318c495f734f952c257a73386db35d52f857a53 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Thu, 12 Jan 2023 04:23:17 +0800 Subject: [PATCH 52/86] Update deploy.sh --- deploy.sh | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/deploy.sh b/deploy.sh index 96a633cba..975d7b2f9 100644 --- a/deploy.sh +++ b/deploy.sh @@ -3,6 +3,6 @@ mkdocs build --clean cd site git init git add -A -git commit -m 'deploy' +git commit -m "deploy" git push -f git@github.com:krahets/hello-algo.git master:gh-pages cd - From 5cc58c7b916cc97a61ddd4a8d6ca4d060474f0e1 Mon Sep 17 00:00:00 2001 From: Gonglja Date: Thu, 12 Jan 2023 07:08:56 +0800 Subject: [PATCH 53/86] =?UTF-8?q?fix(docs/cpp):=20fix=20=20error:=20compar?= =?UTF-8?q?ison=20of=20integer=20expressions=20of=20different=20signedness?= =?UTF-8?q?:=20=E2=80=98size=5Ft=E2=80=99=20{aka=20=E2=80=98long=20unsigne?= =?UTF-8?q?d=20int=E2=80=99}=20and=20=E2=80=98int=E2=80=99=20[-Werror=3Dsi?= =?UTF-8?q?gn-compare]?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- codes/cpp/chapter_array_and_linkedlist/list.cpp | 4 ++-- .../worst_best_time_complexity.cpp | 2 +- codes/cpp/chapter_searching/hashing_search.cpp | 2 +- codes/cpp/chapter_searching/linear_search.cpp | 2 +- codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp | 2 +- 5 files changed, 6 insertions(+), 6 deletions(-) diff --git a/codes/cpp/chapter_array_and_linkedlist/list.cpp b/codes/cpp/chapter_array_and_linkedlist/list.cpp index 44bbf88c8..aadf83d40 100644 --- a/codes/cpp/chapter_array_and_linkedlist/list.cpp +++ b/codes/cpp/chapter_array_and_linkedlist/list.cpp @@ -48,8 +48,8 @@ int main() { PrintUtil::printVector(list); /* 通过索引遍历列表 */ - int count = 0; - for (int i = 0; i < list.size(); i++) { + size_t count = 0; + for (size_t i = 0; i < list.size(); i++) { count++; } diff --git a/codes/cpp/chapter_computational_complexity/worst_best_time_complexity.cpp b/codes/cpp/chapter_computational_complexity/worst_best_time_complexity.cpp index c2916cb40..c3f35adaf 100644 --- a/codes/cpp/chapter_computational_complexity/worst_best_time_complexity.cpp +++ b/codes/cpp/chapter_computational_complexity/worst_best_time_complexity.cpp @@ -22,7 +22,7 @@ vector randomNumbers(int n) { /* 查找数组 nums 中数字 1 所在索引 */ int findOne(vector& nums) { - for (int i = 0; i < nums.size(); i++) { + for (size_t i = 0; i < nums.size(); i++) { if (nums[i] == 1) return i; } diff --git a/codes/cpp/chapter_searching/hashing_search.cpp b/codes/cpp/chapter_searching/hashing_search.cpp index ebc2fb01c..57c9f5d16 100644 --- a/codes/cpp/chapter_searching/hashing_search.cpp +++ b/codes/cpp/chapter_searching/hashing_search.cpp @@ -33,7 +33,7 @@ int main() { vector nums = { 1, 5, 3, 2, 4, 7, 5, 9, 10, 8 }; // 初始化哈希表 unordered_map map; - for (int i = 0; i < nums.size(); i++) { + for (size_t i = 0; i < nums.size(); i++) { map[nums[i]] = i; // key: 元素,value: 索引 } int index = hashingSearch(map, target); diff --git a/codes/cpp/chapter_searching/linear_search.cpp b/codes/cpp/chapter_searching/linear_search.cpp index 7b5092762..45a08ded7 100644 --- a/codes/cpp/chapter_searching/linear_search.cpp +++ b/codes/cpp/chapter_searching/linear_search.cpp @@ -9,7 +9,7 @@ /* 线性查找(数组) */ int linearSearch(vector& nums, int target) { // 遍历数组 - for (int i = 0; i < nums.size(); i++) { + for (size_t i = 0; i < nums.size(); i++) { // 找到目标元素,返回其索引 if (nums[i] == target) return i; diff --git a/codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp b/codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp index ae22740d6..5694e702e 100644 --- a/codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp +++ b/codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp @@ -68,7 +68,7 @@ public: vector toVector() { ListNode* node = front; vector res(size()); - for (int i = 0; i < res.size(); i++) { + for (size_t i = 0; i < res.size(); i++) { res[i] = node->val; node = node->next; } From e6d1f2fd10fc67bb6b9ed722c95043e2b56c6e48 Mon Sep 17 00:00:00 2001 From: xiongsp <37035570+xiongsp@users.noreply.github.com> Date: Thu, 12 Jan 2023 10:36:54 +0800 Subject: [PATCH 54/86] Move tutorial to docs --- README.md | 22 ---------------------- docs/chapter_preface/contribution.md | 22 ++++++++++++++++++++++ 2 files changed, 22 insertions(+), 22 deletions(-) diff --git a/README.md b/README.md index 8bb7b345d..560e73953 100644 --- a/README.md +++ b/README.md @@ -41,28 +41,6 @@ 如果感觉本书对你有所帮助,请点个 Star :star: 支持一下,谢谢! -### 本地部署 - -#### Docker - -使用本教程前,请确保Docker已经安装并启动。 - -根据如下命令离线部署。 - -```bash -git clone https://github.com/krahets/hello-algo.git -cd hello-algo -docker-compose up -d -``` - -稍等片刻,请访问`http://localhost:8000`即可访问本教程。 - -使用如下命令删除部署。 - -```bash -docker-compose down -``` - ## 推荐语 > “一本通俗易懂的数据结构与算法入门书,引导读者手脑并用地学习,强烈推荐算法初学者阅读。” diff --git a/docs/chapter_preface/contribution.md b/docs/chapter_preface/contribution.md index c710e6de5..892da0b4c 100644 --- a/docs/chapter_preface/contribution.md +++ b/docs/chapter_preface/contribution.md @@ -41,4 +41,26 @@ comments: true 非常欢迎您和我一同来创作本书! +## 离线部署 + +### Docker + +使用本教程前,请确保Docker已经安装并启动。 + +根据如下命令离线部署。 + +```bash +git clone https://github.com/krahets/hello-algo.git +cd hello-algo +docker-compose up -d +``` + +稍等片刻,请访问`http://localhost:8000`即可访问本教程。 + +使用如下命令删除部署。 + +```bash +docker-compose down +``` + (TODO:教学视频) From 5271276f4e0e7e8efd5bdd14e761e973d89d33d5 Mon Sep 17 00:00:00 2001 From: Gonglja Date: Thu, 12 Jan 2023 11:02:39 +0800 Subject: [PATCH 55/86] feat(codes/c): add linked_list.c --- .../CMakeLists.txt | 3 +- .../linked_list.c | 89 +++++++++++++++++++ 2 files changed, 91 insertions(+), 1 deletion(-) create mode 100644 codes/c/chapter_array_and_linkedlist/linked_list.c diff --git a/codes/c/chapter_array_and_linkedlist/CMakeLists.txt b/codes/c/chapter_array_and_linkedlist/CMakeLists.txt index 24658b301..dfa3322fb 100644 --- a/codes/c/chapter_array_and_linkedlist/CMakeLists.txt +++ b/codes/c/chapter_array_and_linkedlist/CMakeLists.txt @@ -1 +1,2 @@ -add_executable(array array.c) \ No newline at end of file +add_executable(array array.c) +add_executable(linked_list linked_list.c) \ No newline at end of file diff --git a/codes/c/chapter_array_and_linkedlist/linked_list.c b/codes/c/chapter_array_and_linkedlist/linked_list.c new file mode 100644 index 000000000..ed5764254 --- /dev/null +++ b/codes/c/chapter_array_and_linkedlist/linked_list.c @@ -0,0 +1,89 @@ +/** + * File: linked_list.c + * Created Time: 2022-01-12 + * Author: Zero (glj0@outlook.com) + */ + + #include "../include/include.h" + + /* 在链表的结点 n0 之后插入结点 P */ +void insertNode(ListNode* n0, ListNode* P) { + ListNode *n1; + n1 = n0 -> next; + n0 -> next = P; + P -> next = n1; +} + +/* 删除链表的结点 n0 之后的首个结点 */ +void removeNode(ListNode* n0) { + // n0 -> P -> n1 + ListNode *n1, *P; + P = n0 -> next; + n1 = P -> next; + n0 -> next = n1; + + free(P); +} + +/* 访问链表中索引为 index 的结点 */ +ListNode* accessNode(ListNode* head, int index) { + ListNode* n; + while(head && head->next && index) { + head = head->next; + index --; + } + n = head; +} + +/* 在链表中查找值为 target 的首个结点 */ +int findNode(ListNode* head, int target) { + ListNode* n; + int idx=0; + while(head) { + if(head->val == target) { + return idx; + } + head = head -> next; + idx ++; + } + return -1; +} + + +/* Driver Code */ +int main() { + /* 初始化链表 */ + // 初始化各个结点 + ListNode* n0 = newListNode(1); + ListNode* n1 = newListNode(2); + ListNode* n2 = newListNode(3); + ListNode* n3 = newListNode(4); + ListNode* n4 = newListNode(5); + // 构建引用指向 + n0->next = n1; + n1->next = n2; + n2->next = n3; + n3->next = n4; + printf("初始化的链表为\r\n"); + printLinkedList(n0); + + /* 插入结点 */ + insertNode(n0, newListNode(0)); + printf("插入结点后的链表为\r\n"); + printLinkedList(n0); + + /* 删除结点 */ + removeNode(n0); + printf("删除结点后的链表为\r\n"); + printLinkedList(n0); + + /* 访问结点 */ + ListNode* node = accessNode(n0, 3); + printf("链表中索引 3 处的结点的值 = %d\r\n", node->val); + + /* 查找结点 */ + int index = findNode(n0, 5); + printf("链表中值为 5 的结点的索引 = %d\r\n", index); + + return 0; +} From dea3d0fa921a495bc2e9f8f4b537635e49d7e727 Mon Sep 17 00:00:00 2001 From: fbigm Date: Thu, 12 Jan 2023 11:32:32 +0800 Subject: [PATCH 56/86] =?UTF-8?q?=E6=8F=8F=E8=BF=B0=E4=BF=AE=E6=94=B9?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 若将上图的「结点 2」看作父结点-->若将下图的「结点 2」看作父结点 --- docs/chapter_tree/binary_tree.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/chapter_tree/binary_tree.md b/docs/chapter_tree/binary_tree.md index 1061e019d..0201f6a2a 100644 --- a/docs/chapter_tree/binary_tree.md +++ b/docs/chapter_tree/binary_tree.md @@ -114,7 +114,7 @@ comments: true 结点的两个指针分别指向「左子结点 Left Child Node」和「右子结点 Right Child Node」,并且称该结点为两个子结点的「父结点 Parent Node」。给定二叉树某结点,将左子结点以下的树称为该结点的「左子树 Left Subtree」,右子树同理。 -除了叶结点外,每个结点都有子结点和子树。例如,若将上图的「结点 2」看作父结点,那么其左子结点和右子结点分别为「结点 4」和「结点 5」,左子树和右子树分别为「结点 4 及其以下结点形成的树」和「结点 5 及其以下结点形成的树」。 +除了叶结点外,每个结点都有子结点和子树。例如,若将下图的「结点 2」看作父结点,那么其左子结点和右子结点分别为「结点 4」和「结点 5」,左子树和右子树分别为「结点 4 及其以下结点形成的树」和「结点 5 及其以下结点形成的树」。 ![binary_tree_definition](binary_tree.assets/binary_tree_definition.png) From ebf049f2c6ebb903f67cd1e8c7cb47edfc5a58ef Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Thu, 12 Jan 2023 13:50:02 +0800 Subject: [PATCH 57/86] Update contribution.md --- docs/chapter_preface/contribution.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/chapter_preface/contribution.md b/docs/chapter_preface/contribution.md index 892da0b4c..4e5f3dc85 100644 --- a/docs/chapter_preface/contribution.md +++ b/docs/chapter_preface/contribution.md @@ -45,7 +45,7 @@ comments: true ### Docker -使用本教程前,请确保Docker已经安装并启动。 +使用本教程前,请确保 Docker 已经安装并启动。 根据如下命令离线部署。 @@ -55,7 +55,7 @@ cd hello-algo docker-compose up -d ``` -稍等片刻,请访问`http://localhost:8000`即可访问本教程。 +稍等片刻,即可通过浏览器打开 `http://localhost:8000` 访问本教程。 使用如下命令删除部署。 From be2d109c5be6ca48d50f233ac4200858f98a881f Mon Sep 17 00:00:00 2001 From: Gonglja Date: Thu, 12 Jan 2023 15:16:57 +0800 Subject: [PATCH 58/86] style(codes/c): update comment format --- .../linked_list.c | 53 +++++++++---------- 1 file changed, 25 insertions(+), 28 deletions(-) diff --git a/codes/c/chapter_array_and_linkedlist/linked_list.c b/codes/c/chapter_array_and_linkedlist/linked_list.c index ed5764254..5ce7cf4c0 100644 --- a/codes/c/chapter_array_and_linkedlist/linked_list.c +++ b/codes/c/chapter_array_and_linkedlist/linked_list.c @@ -4,47 +4,44 @@ * Author: Zero (glj0@outlook.com) */ - #include "../include/include.h" +#include "../include/include.h" /* 在链表的结点 n0 之后插入结点 P */ void insertNode(ListNode* n0, ListNode* P) { - ListNode *n1; - n1 = n0 -> next; - n0 -> next = P; - P -> next = n1; + ListNode *n1 = n0->next; + n0->next = P; + P->next = n1; } /* 删除链表的结点 n0 之后的首个结点 */ void removeNode(ListNode* n0) { + if (!n0->next) + return; // n0 -> P -> n1 - ListNode *n1, *P; - P = n0 -> next; - n1 = P -> next; - n0 -> next = n1; - + ListNode *P = n0->next; + ListNode *n1 = P->next; + n0->next = n1; + // 释放内存 free(P); } /* 访问链表中索引为 index 的结点 */ ListNode* accessNode(ListNode* head, int index) { - ListNode* n; - while(head && head->next && index) { + while (head && head->next && index) { head = head->next; - index --; + index--; } - n = head; + return head; } /* 在链表中查找值为 target 的首个结点 */ int findNode(ListNode* head, int target) { - ListNode* n; - int idx=0; - while(head) { - if(head->val == target) { - return idx; - } - head = head -> next; - idx ++; + int index = 0; + while (head) { + if (head->val == target) + return index; + head = head->next; + index++; } return -1; } @@ -55,10 +52,10 @@ int main() { /* 初始化链表 */ // 初始化各个结点 ListNode* n0 = newListNode(1); - ListNode* n1 = newListNode(2); - ListNode* n2 = newListNode(3); - ListNode* n3 = newListNode(4); - ListNode* n4 = newListNode(5); + ListNode* n1 = newListNode(3); + ListNode* n2 = newListNode(2); + ListNode* n3 = newListNode(5); + ListNode* n4 = newListNode(4); // 构建引用指向 n0->next = n1; n1->next = n2; @@ -82,8 +79,8 @@ int main() { printf("链表中索引 3 处的结点的值 = %d\r\n", node->val); /* 查找结点 */ - int index = findNode(n0, 5); - printf("链表中值为 5 的结点的索引 = %d\r\n", index); + int index = findNode(n0, 2); + printf("链表中值为 2 的结点的索引 = %d\r\n", index); return 0; } From 8325ce44748bea5a366e10619c8828083ced959c Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Thu, 12 Jan 2023 17:08:33 +0800 Subject: [PATCH 59/86] update zig codes for Section 'Array', 'LinkedList', 'List' and 'Stack' --- .../chapter_array_and_linkedlist/array.zig | 32 ++----------------- 1 file changed, 2 insertions(+), 30 deletions(-) diff --git a/codes/zig/chapter_array_and_linkedlist/array.zig b/codes/zig/chapter_array_and_linkedlist/array.zig index 52ebc8606..8c830cf4d 100644 --- a/codes/zig/chapter_array_and_linkedlist/array.zig +++ b/codes/zig/chapter_array_and_linkedlist/array.zig @@ -14,7 +14,7 @@ pub fn randomAccess(nums: []i32) i32 { return randomNum; } -// 扩展数组长度(运行时方法) +// 扩展数组长度 pub fn extend(mem_allocator: std.mem.Allocator, nums: []i32, enlarge: usize) ![]i32 { // 初始化一个扩展长度后的数组 var res = try mem_allocator.alloc(i32, nums.len + enlarge); @@ -25,26 +25,6 @@ pub fn extend(mem_allocator: std.mem.Allocator, nums: []i32, enlarge: usize) ![] return res; } -// 扩展数组长度(编译期方法A:初始化新数组并进行元素拷贝) -pub fn extendComptimeA(comptime nums: anytype, comptime enlarge: i32) [nums.len + enlarge]i32 { - // 初始化一个扩展长度后的数组 - var res = [_]i32{0} ** (nums.len + enlarge); - // 将原数组中的所有元素复制到新数组 - for (nums) |num, i| { - res[i] = num; - } - // 返回扩展后的新数组 - return res; -} - -// 扩展数组长度(编译期方法B: 通过数组拼接运算符“++”) -pub fn extendComptimeB(comptime nums: anytype, comptime enlarge: i32) [nums.len + enlarge]i32 { - // 数组拼接操作 - var res = nums ++ [_]i32{0} ** enlarge; - // 返回拼接后的新数组 - return res; -} - // 在数组的索引 index 处插入元素 num pub fn insert(nums: []i32, num: i32, index: usize) void { // 把索引 index 以及之后的所有元素向后移动一位 @@ -104,7 +84,7 @@ pub fn main() !void { var randomNum = randomAccess(&array); std.debug.print("\n在 nums 中获取随机元素 {}", .{randomNum}); - // 长度扩展(运行时方法) + // 长度扩展 var known_at_runtime_zero: usize = 0; var nums: []i32 = array[known_at_runtime_zero..array.len]; var mem_arena = std.heap.ArenaAllocator.init(std.heap.page_allocator); @@ -113,14 +93,6 @@ pub fn main() !void { nums = try extend(mem_allocator, nums, 3); std.debug.print("\n将数组长度扩展至 8 ,得到 nums = ", .{}); inc.PrintUtil.printArray(i32, nums); - // { - // // 长度扩展(编译期方法) - // comptime var array_comptime = [_]i32{ 1, 3, 2, 5, 4 }; - // var nums_comptime = extendComptimeA(array_comptime, 3); - // // var nums_comptime = extendComptimeB(array_comptime, 3); - // std.debug.print("\n将数组长度扩展至 8 ,得到 nums_comptime = ", .{}); - // inc.PrintUtil.printArray(i32, &nums_comptime); - // } // 插入元素 insert(nums, 6, 3); From 8726934f94079ee87252281fe1bf3ad7470c8a9b Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Thu, 12 Jan 2023 21:51:11 +0800 Subject: [PATCH 60/86] add zig codes for Section 'Stack', 'Bubble Sort' and 'Insertion Sort' --- codes/zig/build.zig | 68 ++++++++++ codes/zig/chapter_sorting/bubble_sort.zig | 62 +++++++++ codes/zig/chapter_sorting/insertion_sort.zig | 33 +++++ .../chapter_stack_and_queue/array_stack.zig | 99 +++++++++++++++ .../linkedlist_stack.zig | 120 ++++++++++++++++++ codes/zig/chapter_stack_and_queue/stack.zig | 44 +++++++ 6 files changed, 426 insertions(+) create mode 100644 codes/zig/chapter_sorting/bubble_sort.zig create mode 100644 codes/zig/chapter_sorting/insertion_sort.zig create mode 100644 codes/zig/chapter_stack_and_queue/array_stack.zig create mode 100644 codes/zig/chapter_stack_and_queue/linkedlist_stack.zig create mode 100644 codes/zig/chapter_stack_and_queue/stack.zig diff --git a/codes/zig/build.zig b/codes/zig/build.zig index b9bbddce0..a8738fae9 100644 --- a/codes/zig/build.zig +++ b/codes/zig/build.zig @@ -119,4 +119,72 @@ pub fn build(b: *std.build.Builder) void { if (b.args) |args| run_cmd_my_list.addArgs(args); const run_step_my_list = b.step("run_my_list", "Run my_list"); run_step_my_list.dependOn(&run_cmd_my_list.step); + + // Section: "Stack" + // Source File: "chapter_stack_and_queue/stack.zig" + // Run Command: zig build run_stack + const exe_stack = b.addExecutable("stack", "chapter_stack_and_queue/stack.zig"); + exe_stack.addPackagePath("include", "include/include.zig"); + exe_stack.setTarget(target); + exe_stack.setBuildMode(mode); + exe_stack.install(); + const run_cmd_stack = exe_stack.run(); + run_cmd_stack.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_stack.addArgs(args); + const run_step_stack = b.step("run_stack", "Run stack"); + run_step_stack.dependOn(&run_cmd_stack.step); + + // Source File: "chapter_stack_and_queue/linkedlist_stack.zig" + // Run Command: zig build run_linkedlist_stack + const exe_linkedlist_stack = b.addExecutable("linkedlist_stack", "chapter_stack_and_queue/linkedlist_stack.zig"); + exe_linkedlist_stack.addPackagePath("include", "include/include.zig"); + exe_linkedlist_stack.setTarget(target); + exe_linkedlist_stack.setBuildMode(mode); + exe_linkedlist_stack.install(); + const run_cmd_linkedlist_stack = exe_linkedlist_stack.run(); + run_cmd_linkedlist_stack.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_linkedlist_stack.addArgs(args); + const run_step_linkedlist_stack = b.step("run_linkedlist_stack", "Run linkedlist_stack"); + run_step_linkedlist_stack.dependOn(&run_cmd_linkedlist_stack.step); + + // Source File: "chapter_stack_and_queue/array_stack.zig" + // Run Command: zig build run_array_stack + const exe_array_stack = b.addExecutable("array_stack", "chapter_stack_and_queue/array_stack.zig"); + exe_array_stack.addPackagePath("include", "include/include.zig"); + exe_array_stack.setTarget(target); + exe_array_stack.setBuildMode(mode); + exe_array_stack.install(); + const run_cmd_array_stack = exe_linkedlist_stack.run(); + run_cmd_array_stack.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_array_stack.addArgs(args); + const run_step_array_stack = b.step("run_array_stack", "Run array_stack"); + run_step_array_stack.dependOn(&run_cmd_array_stack.step); + + // Section: "Bubble Sort" + // Source File: "chapter_sorting/bubble_sort.zig" + // Run Command: zig build run_bubble_sort + const exe_bubble_sort = b.addExecutable("bubble_sort", "chapter_sorting/bubble_sort.zig"); + exe_bubble_sort.addPackagePath("include", "include/include.zig"); + exe_bubble_sort.setTarget(target); + exe_bubble_sort.setBuildMode(mode); + exe_bubble_sort.install(); + const run_cmd_bubble_sort = exe_bubble_sort.run(); + run_cmd_bubble_sort.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_bubble_sort.addArgs(args); + const run_step_bubble_sort = b.step("run_bubble_sort", "Run bubble_sort"); + run_step_bubble_sort.dependOn(&run_cmd_bubble_sort.step); + + // Section: "Insertion Sort" + // Source File: "chapter_sorting/insertion_sort.zig" + // Run Command: zig build run_insertion_sort + const exe_insertion_sort = b.addExecutable("insertion_sort", "chapter_sorting/insertion_sort.zig"); + exe_insertion_sort.addPackagePath("include", "include/include.zig"); + exe_insertion_sort.setTarget(target); + exe_insertion_sort.setBuildMode(mode); + exe_insertion_sort.install(); + const run_cmd_insertion_sort = exe_insertion_sort.run(); + run_cmd_insertion_sort.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_insertion_sort.addArgs(args); + const run_step_insertion_sort = b.step("run_insertion_sort", "Run insertion_sort"); + run_step_insertion_sort.dependOn(&run_cmd_insertion_sort.step); } diff --git a/codes/zig/chapter_sorting/bubble_sort.zig b/codes/zig/chapter_sorting/bubble_sort.zig new file mode 100644 index 000000000..863190963 --- /dev/null +++ b/codes/zig/chapter_sorting/bubble_sort.zig @@ -0,0 +1,62 @@ +// File: time_complexity.zig +// Created Time: 2023-01-08 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// 冒泡排序 +fn bubbleSort(nums: []i32) void { + // 外循环:待排序元素数量为 n-1, n-2, ..., 1 + var i: usize = nums.len - 1; + while (i > 0) : (i -= 1) { + var j: usize = 0; + // 内循环:冒泡操作 + while (j < i) : (j += 1) { + if (nums[j] > nums[j + 1]) { + // 交换 nums[j] 与 nums[j + 1] + var tmp = nums[j]; + nums[j] = nums[j + 1]; + nums[j + 1] = tmp; + } + } + } +} + +// 冒泡排序(标志优化) +fn bubbleSortWithFlag(nums: []i32) void { + // 外循环:待排序元素数量为 n-1, n-2, ..., 1 + var i: usize = nums.len - 1; + while (i > 0) : (i -= 1) { + var flag = false; // 初始化标志位 + var j: usize = 0; + // 内循环:冒泡操作 + while (j < i) : (j += 1) { + if (nums[j] > nums[j + 1]) { + // 交换 nums[j] 与 nums[j + 1] + var tmp = nums[j]; + nums[j] = nums[j + 1]; + nums[j + 1] = tmp; + flag = true; + } + } + if (!flag) break; // 此轮冒泡未交换任何元素,直接跳出 + } +} + +// Driver Code +pub fn main() !void { + var nums = [_]i32{ 4, 1, 3, 1, 5, 2 }; + bubbleSort(&nums); + std.debug.print("冒泡排序完成后 nums = ", .{}); + inc.PrintUtil.printArray(i32, &nums); + + var nums1 = [_]i32{ 4, 1, 3, 1, 5, 2 }; + bubbleSortWithFlag(&nums1); + std.debug.print("\n冒泡排序完成后 nums1 = ", .{}); + inc.PrintUtil.printArray(i32, &nums1); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} + diff --git a/codes/zig/chapter_sorting/insertion_sort.zig b/codes/zig/chapter_sorting/insertion_sort.zig new file mode 100644 index 000000000..3c7594c24 --- /dev/null +++ b/codes/zig/chapter_sorting/insertion_sort.zig @@ -0,0 +1,33 @@ +// File: time_complexity.zig +// Created Time: 2023-01-08 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// 插入排序 +fn insertionSort(nums: []i32) void { + // 外循环:base = nums[1], nums[2], ..., nums[n-1] + var i: usize = 1; + while (i < nums.len) : (i += 1) { + var base = nums[i]; + var j: usize = i; + // 内循环:将 base 插入到左边的正确位置 + while (j >= 1 and nums[j - 1] > base) : (j -= 1) { + nums[j] = nums[j - 1]; // 1. 将 nums[j] 向右移动一位 + } + nums[j] = base; // 2. 将 base 赋值到正确位置 + } +} + +// Driver Code +pub fn main() !void { + var nums = [_]i32{ 4, 1, 3, 1, 5, 2 }; + insertionSort(&nums); + std.debug.print("插入排序完成后 nums = ", .{}); + inc.PrintUtil.printArray(i32, &nums); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} + diff --git a/codes/zig/chapter_stack_and_queue/array_stack.zig b/codes/zig/chapter_stack_and_queue/array_stack.zig new file mode 100644 index 000000000..868d9d94d --- /dev/null +++ b/codes/zig/chapter_stack_and_queue/array_stack.zig @@ -0,0 +1,99 @@ +// File: stack.zig +// Created Time: 2023-01-08 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// 基于数组实现的栈 +// 编译期泛型 +pub fn ArrayStack(comptime T: type) type { + return struct { + const Self = @This(); + + stack: ?std.ArrayList(T) = null, + + // 构造函数(分配内存+初始化栈) + pub fn init(self: *Self, allocator: std.mem.Allocator) void { + if (self.stack == null) { + self.stack = std.ArrayList(T).init(allocator); + } + } + + // 析构函数(释放内存) + pub fn deinit(self: *Self) void { + if (self.stack == null) return; + self.stack.?.deinit(); + } + + // 获取栈的长度 + pub fn size(self: *Self) usize { + return self.stack.?.items.len; + } + + // 判断栈是否为空 + pub fn empty(self: *Self) bool { + return self.size() == 0; + } + + // 访问栈顶元素 + pub fn top(self: *Self) T { + if (self.size() == 0) @panic("栈为空"); + return self.stack.?.items[self.size() - 1]; + } + + // 入栈 + pub fn push(self: *Self, num: T) !void { + try self.stack.?.append(num); + } + + // 出栈 + pub fn pop(self: *Self) T { + var num = self.stack.?.pop(); + return num; + } + + // 返回 ArrayList + pub fn toList(self: *Self) std.ArrayList(T) { + return self.stack.?; + } + }; +} + +// Driver Code +pub fn main() !void { + // 初始化栈 + var stack = ArrayStack(i32){}; + stack.init(std.heap.page_allocator); + // 延迟释放内存 + defer stack.deinit(); + + // 元素入栈 + try stack.push(1); + try stack.push(3); + try stack.push(2); + try stack.push(5); + try stack.push(4); + std.debug.print("栈 stack = ", .{}); + inc.PrintUtil.printList(i32, stack.toList()); + + // 访问栈顶元素 + var top = stack.top(); + std.debug.print("\n栈顶元素 top = {}", .{top}); + + // 元素出栈 + top = stack.pop(); + std.debug.print("\n出栈元素 pop = {},出栈后 stack = ", .{top}); + inc.PrintUtil.printList(i32, stack.toList()); + + // 获取栈的长度 + var size = stack.size(); + std.debug.print("\n栈的长度 size = {}", .{size}); + + // 判断栈是否为空 + var empty = stack.empty(); + std.debug.print("\n栈是否为空 = {}", .{empty}); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} diff --git a/codes/zig/chapter_stack_and_queue/linkedlist_stack.zig b/codes/zig/chapter_stack_and_queue/linkedlist_stack.zig new file mode 100644 index 000000000..633583b45 --- /dev/null +++ b/codes/zig/chapter_stack_and_queue/linkedlist_stack.zig @@ -0,0 +1,120 @@ +// File: linkedlist_stack.zig +// Created Time: 2023-01-08 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// 基于链表实现的栈 +// 编译期泛型 +pub fn LinkedListStack(comptime T: type) type { + return struct { + const Self = @This(); + + stackTop: ?*inc.ListNode(T) = null, // 将头结点作为栈顶 + stkSize: usize = 0, // 栈的长度 + mem_arena: ?std.heap.ArenaAllocator = null, + mem_allocator: std.mem.Allocator = undefined, // 内存分配器 + + // 构造函数(分配内存+初始化栈) + pub fn init(self: *Self, allocator: std.mem.Allocator) !void { + if (self.mem_arena == null) { + self.mem_arena = std.heap.ArenaAllocator.init(allocator); + self.mem_allocator = self.mem_arena.?.allocator(); + } + self.stackTop = null; + self.stkSize = 0; + } + + // 析构函数(释放内存) + pub fn deinit(self: *Self) void { + if (self.mem_arena == null) return; + self.mem_arena.?.deinit(); + } + + // 获取栈的长度 + pub fn size(self: *Self) usize { + return self.stkSize; + } + + // 判断栈是否为空 + pub fn empty(self: *Self) bool { + return self.size() == 0; + } + + // 访问栈顶元素 + pub fn top(self: *Self) T { + if (self.size() == 0) @panic("栈为空"); + return self.stackTop.?.val; + } + + // 入栈 + pub fn push(self: *Self, num: T) !void { + var node = try self.mem_allocator.create(inc.ListNode(T)); + node.init(num); + node.next = self.stackTop; + self.stackTop = node; + self.stkSize += 1; + } + + // 出栈 + pub fn pop(self: *Self) T { + var num = self.top(); + self.stackTop = self.stackTop.?.next; + self.stkSize -= 1; + return num; + } + + // 将栈转换为数组 + pub fn toArray(self: *Self) ![]T { + var node = self.stackTop; + var res = try self.mem_allocator.alloc(T, self.size()); + std.mem.set(T, res, @as(T, 0)); + var i: usize = 0; + while (i < res.len) : (i += 1) { + res[res.len - i - 1] = node.?.val; + node = node.?.next; + } + return res; + } + }; +} + +// Driver Code +pub fn main() !void { + // 初始化栈 + var stack = LinkedListStack(i32){}; + try stack.init(std.heap.page_allocator); + // 延迟释放内存 + defer stack.deinit(); + + // 元素入栈 + try stack.push(1); + try stack.push(3); + try stack.push(2); + try stack.push(5); + try stack.push(4); + std.debug.print("栈 stack = ", .{}); + inc.PrintUtil.printArray(i32, try stack.toArray()); + + // 访问栈顶元素 + var top = stack.top(); + std.debug.print("\n栈顶元素 top = {}", .{top}); + + // 元素出栈 + top = stack.pop(); + std.debug.print("\n出栈元素 pop = {},出栈后 stack = ", .{top}); + inc.PrintUtil.printArray(i32, try stack.toArray()); + + // 获取栈的长度 + var size = stack.size(); + std.debug.print("\n栈的长度 size = {}", .{size}); + + // 判断栈是否为空 + var empty = stack.empty(); + std.debug.print("\n栈是否为空 = {}", .{empty}); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} + diff --git a/codes/zig/chapter_stack_and_queue/stack.zig b/codes/zig/chapter_stack_and_queue/stack.zig new file mode 100644 index 000000000..95ed427b0 --- /dev/null +++ b/codes/zig/chapter_stack_and_queue/stack.zig @@ -0,0 +1,44 @@ +// File: stack.zig +// Created Time: 2023-01-08 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// Driver Code +pub fn main() !void { + // 初始化栈 + // 在 zig 中,推荐将 ArrayList 当作栈来使用 + var stack = std.ArrayList(i32).init(std.heap.page_allocator); + // 延迟释放内存 + defer stack.deinit(); + + // 元素入栈 + try stack.append(1); + try stack.append(3); + try stack.append(2); + try stack.append(5); + try stack.append(4); + std.debug.print("栈 stack = ", .{}); + inc.PrintUtil.printList(i32, stack); + + // 访问栈顶元素 + var top = stack.items[stack.items.len - 1]; + std.debug.print("\n栈顶元素 top = {}", .{top}); + + // 元素出栈 + top = stack.pop(); + std.debug.print("\n出栈元素 pop = {},出栈后 stack = ", .{top}); + inc.PrintUtil.printList(i32, stack); + + // 获取栈的长度 + var size = stack.items.len; + std.debug.print("\n栈的长度 size = {}", .{size}); + + // 判断栈是否为空 + var empty = if (stack.items.len == 0) true else false; + std.debug.print("\n栈是否为空 = {}", .{empty}); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} From d90f3f828216c69b79270c107b552c91aac689a1 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Fri, 13 Jan 2023 01:08:29 +0800 Subject: [PATCH 61/86] Update deployment guidance (Docker) --- docs/chapter_preface/contribution.md | 11 +++++------ 1 file changed, 5 insertions(+), 6 deletions(-) diff --git a/docs/chapter_preface/contribution.md b/docs/chapter_preface/contribution.md index 4e5f3dc85..498002c72 100644 --- a/docs/chapter_preface/contribution.md +++ b/docs/chapter_preface/contribution.md @@ -41,23 +41,22 @@ comments: true 非常欢迎您和我一同来创作本书! -## 离线部署 +## 本地部署 hello-algo ### Docker -使用本教程前,请确保 Docker 已经安装并启动。 +请确保 Docker 已经安装并启动,并根据如下命令离线部署。 -根据如下命令离线部署。 +稍等片刻,即可使用浏览器打开 `http://localhost:8000` 访问本项目。 ```bash git clone https://github.com/krahets/hello-algo.git cd hello-algo + docker-compose up -d ``` -稍等片刻,即可通过浏览器打开 `http://localhost:8000` 访问本教程。 - -使用如下命令删除部署。 +使用如下命令即可删除部署。 ```bash docker-compose down From 78d7d07bd9cfc4308b50cc756b0743c9e0d0367c Mon Sep 17 00:00:00 2001 From: Gonglja Date: Fri, 13 Jan 2023 06:01:21 +0800 Subject: [PATCH 62/86] style(codes/c): update comment format --- codes/c/chapter_array_and_linkedlist/linked_list.c | 14 ++++++++------ 1 file changed, 8 insertions(+), 6 deletions(-) diff --git a/codes/c/chapter_array_and_linkedlist/linked_list.c b/codes/c/chapter_array_and_linkedlist/linked_list.c index 5ce7cf4c0..8228c48c9 100644 --- a/codes/c/chapter_array_and_linkedlist/linked_list.c +++ b/codes/c/chapter_array_and_linkedlist/linked_list.c @@ -7,13 +7,15 @@ #include "../include/include.h" /* 在链表的结点 n0 之后插入结点 P */ -void insertNode(ListNode* n0, ListNode* P) { +void insert(ListNode* n0, ListNode* P) { ListNode *n1 = n0->next; n0->next = P; P->next = n1; } /* 删除链表的结点 n0 之后的首个结点 */ +/* Keep Sample, 受 c 语言特性限制,removeNode 无法更改为 remove, + 详见 https://github.com/krahets/hello-algo/pull/244#discussion_r1067863888 */ void removeNode(ListNode* n0) { if (!n0->next) return; @@ -26,7 +28,7 @@ void removeNode(ListNode* n0) { } /* 访问链表中索引为 index 的结点 */ -ListNode* accessNode(ListNode* head, int index) { +ListNode* access(ListNode* head, int index) { while (head && head->next && index) { head = head->next; index--; @@ -35,7 +37,7 @@ ListNode* accessNode(ListNode* head, int index) { } /* 在链表中查找值为 target 的首个结点 */ -int findNode(ListNode* head, int target) { +int find(ListNode* head, int target) { int index = 0; while (head) { if (head->val == target) @@ -65,7 +67,7 @@ int main() { printLinkedList(n0); /* 插入结点 */ - insertNode(n0, newListNode(0)); + insert(n0, newListNode(0)); printf("插入结点后的链表为\r\n"); printLinkedList(n0); @@ -75,11 +77,11 @@ int main() { printLinkedList(n0); /* 访问结点 */ - ListNode* node = accessNode(n0, 3); + ListNode* node = access(n0, 3); printf("链表中索引 3 处的结点的值 = %d\r\n", node->val); /* 查找结点 */ - int index = findNode(n0, 2); + int index = find(n0, 2); printf("链表中值为 2 的结点的索引 = %d\r\n", index); return 0; From 845e70366d6cbb114b47f79a5ce6832e5e0fda7d Mon Sep 17 00:00:00 2001 From: Gonglja Date: Fri, 13 Jan 2023 15:07:12 +0800 Subject: [PATCH 63/86] feat(codes/cpp): revert the changes `size_t` back to `int` --- codes/cpp/chapter_array_and_linkedlist/list.cpp | 4 ++-- .../worst_best_time_complexity.cpp | 2 +- codes/cpp/chapter_searching/hashing_search.cpp | 2 +- codes/cpp/chapter_searching/linear_search.cpp | 2 +- codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp | 2 +- 5 files changed, 6 insertions(+), 6 deletions(-) diff --git a/codes/cpp/chapter_array_and_linkedlist/list.cpp b/codes/cpp/chapter_array_and_linkedlist/list.cpp index aadf83d40..44bbf88c8 100644 --- a/codes/cpp/chapter_array_and_linkedlist/list.cpp +++ b/codes/cpp/chapter_array_and_linkedlist/list.cpp @@ -48,8 +48,8 @@ int main() { PrintUtil::printVector(list); /* 通过索引遍历列表 */ - size_t count = 0; - for (size_t i = 0; i < list.size(); i++) { + int count = 0; + for (int i = 0; i < list.size(); i++) { count++; } diff --git a/codes/cpp/chapter_computational_complexity/worst_best_time_complexity.cpp b/codes/cpp/chapter_computational_complexity/worst_best_time_complexity.cpp index c3f35adaf..c2916cb40 100644 --- a/codes/cpp/chapter_computational_complexity/worst_best_time_complexity.cpp +++ b/codes/cpp/chapter_computational_complexity/worst_best_time_complexity.cpp @@ -22,7 +22,7 @@ vector randomNumbers(int n) { /* 查找数组 nums 中数字 1 所在索引 */ int findOne(vector& nums) { - for (size_t i = 0; i < nums.size(); i++) { + for (int i = 0; i < nums.size(); i++) { if (nums[i] == 1) return i; } diff --git a/codes/cpp/chapter_searching/hashing_search.cpp b/codes/cpp/chapter_searching/hashing_search.cpp index 57c9f5d16..ebc2fb01c 100644 --- a/codes/cpp/chapter_searching/hashing_search.cpp +++ b/codes/cpp/chapter_searching/hashing_search.cpp @@ -33,7 +33,7 @@ int main() { vector nums = { 1, 5, 3, 2, 4, 7, 5, 9, 10, 8 }; // 初始化哈希表 unordered_map map; - for (size_t i = 0; i < nums.size(); i++) { + for (int i = 0; i < nums.size(); i++) { map[nums[i]] = i; // key: 元素,value: 索引 } int index = hashingSearch(map, target); diff --git a/codes/cpp/chapter_searching/linear_search.cpp b/codes/cpp/chapter_searching/linear_search.cpp index 45a08ded7..7b5092762 100644 --- a/codes/cpp/chapter_searching/linear_search.cpp +++ b/codes/cpp/chapter_searching/linear_search.cpp @@ -9,7 +9,7 @@ /* 线性查找(数组) */ int linearSearch(vector& nums, int target) { // 遍历数组 - for (size_t i = 0; i < nums.size(); i++) { + for (int i = 0; i < nums.size(); i++) { // 找到目标元素,返回其索引 if (nums[i] == target) return i; diff --git a/codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp b/codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp index 5694e702e..ae22740d6 100644 --- a/codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp +++ b/codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp @@ -68,7 +68,7 @@ public: vector toVector() { ListNode* node = front; vector res(size()); - for (size_t i = 0; i < res.size(); i++) { + for (int i = 0; i < res.size(); i++) { res[i] = node->val; node = node->next; } From 750d4f502d6cc71a539d35c13ec45898d45383fe Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Fri, 13 Jan 2023 16:18:05 +0800 Subject: [PATCH 64/86] Update linked_list.c --- codes/c/chapter_array_and_linkedlist/linked_list.c | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/codes/c/chapter_array_and_linkedlist/linked_list.c b/codes/c/chapter_array_and_linkedlist/linked_list.c index 8228c48c9..ea61c84ca 100644 --- a/codes/c/chapter_array_and_linkedlist/linked_list.c +++ b/codes/c/chapter_array_and_linkedlist/linked_list.c @@ -14,8 +14,8 @@ void insert(ListNode* n0, ListNode* P) { } /* 删除链表的结点 n0 之后的首个结点 */ -/* Keep Sample, 受 c 语言特性限制,removeNode 无法更改为 remove, - 详见 https://github.com/krahets/hello-algo/pull/244#discussion_r1067863888 */ +// 由于引入了 stdio.h ,此处无法使用 remove 关键词 +// 详见 https://github.com/krahets/hello-algo/pull/244#discussion_r1067863888 void removeNode(ListNode* n0) { if (!n0->next) return; From 7ab9fd68c89f4f2949deb5c85714ed34d64c1d40 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Fri, 13 Jan 2023 16:19:04 +0800 Subject: [PATCH 65/86] Update linked_list.c --- codes/c/chapter_array_and_linkedlist/linked_list.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/codes/c/chapter_array_and_linkedlist/linked_list.c b/codes/c/chapter_array_and_linkedlist/linked_list.c index ea61c84ca..a8de08735 100644 --- a/codes/c/chapter_array_and_linkedlist/linked_list.c +++ b/codes/c/chapter_array_and_linkedlist/linked_list.c @@ -6,7 +6,7 @@ #include "../include/include.h" - /* 在链表的结点 n0 之后插入结点 P */ +/* 在链表的结点 n0 之后插入结点 P */ void insert(ListNode* n0, ListNode* P) { ListNode *n1 = n0->next; n0->next = P; From 32962fb7a14d143d36fece4bdc315af2eb50e4b2 Mon Sep 17 00:00:00 2001 From: reanon <793584285@qq.com> Date: Thu, 12 Jan 2023 20:32:06 +0800 Subject: [PATCH 66/86] feat(heap): add go codes --- codes/go/chapter_heap/heap.go | 46 ++++++++++ codes/go/chapter_heap/heap_test.go | 90 +++++++++++++++++++ codes/go/chapter_heap/my_heap.go | 139 +++++++++++++++++++++++++++++ codes/go/pkg/print_utils.go | 23 +++-- 4 files changed, 291 insertions(+), 7 deletions(-) create mode 100644 codes/go/chapter_heap/heap.go create mode 100644 codes/go/chapter_heap/heap_test.go create mode 100644 codes/go/chapter_heap/my_heap.go diff --git a/codes/go/chapter_heap/heap.go b/codes/go/chapter_heap/heap.go new file mode 100644 index 000000000..d28d2ba7e --- /dev/null +++ b/codes/go/chapter_heap/heap.go @@ -0,0 +1,46 @@ +// File: intHeap.go +// Created Time: 2023-01-12 +// Author: Reanon (793584285@qq.com) + +package chapter_heap + +// intHeap 是一个由整数组成的最大堆 +// 通过实现 heap.Interface 来构建堆 +type intHeap []any + +// Len sort.Interface 的方法 +func (h *intHeap) Len() int { + return len(*h) +} + +// Less sort.Interface 的方法 +func (h *intHeap) Less(i, j int) bool { + // 如果实现小顶堆,则需要调整为小于号 + return (*h)[i].(int) > (*h)[j].(int) +} + +// Swap sort.Interface 的方法 +func (h *intHeap) Swap(i, j int) { + (*h)[i], (*h)[j] = (*h)[j], (*h)[i] +} + +// Push heap.Interface 的方法 + +func (h *intHeap) Push(x any) { + // Push 和 Pop 使用 pointer receiver 作为参数 + // 因为它们不仅会对切片的内容进行调整,还会修改切片的长度。 + *h = append(*h, x.(int)) +} + +// Top 获取堆顶元素 +func (h *intHeap) Top() int { + return (*h)[0].(int) +} + +// Pop heap.Interface 的方法,实现弹出堆顶元素 +func (h *intHeap) Pop() any { + // 待出堆元素存放在最后 + last := (*h)[len(*h)-1] + *h = (*h)[:len(*h)-1] + return last +} diff --git a/codes/go/chapter_heap/heap_test.go b/codes/go/chapter_heap/heap_test.go new file mode 100644 index 000000000..db3844efa --- /dev/null +++ b/codes/go/chapter_heap/heap_test.go @@ -0,0 +1,90 @@ +// File: heap_test.go +// Created Time: 2023-01-12 +// Author: Reanon (793584285@qq.com) + +package chapter_heap + +import ( + "container/heap" + "fmt" + "testing" + + . "github.com/krahets/hello-algo/pkg" +) + +func testPush(h *intHeap, val int) { + // 调用 heap.Interface 的方法,来添加元素 + heap.Push(h, val) + fmt.Printf("\n元素 %d 入堆后 \n", val) + PrintHeap(*h) +} + +func testPop(h *intHeap) { + // 调用 heap.Interface 的方法,来移除元素 + val := heap.Pop(h) + fmt.Printf("\n堆顶元素 %d 出堆后 \n", val) + PrintHeap(*h) +} + +func TestHeap(t *testing.T) { + /* 初始化堆 */ + // 初始化大顶堆 + maxHeap := &intHeap{} + heap.Init(maxHeap) + /* 元素入堆 */ + testPush(maxHeap, 1) + testPush(maxHeap, 3) + testPush(maxHeap, 2) + testPush(maxHeap, 5) + testPush(maxHeap, 4) + + /* 获取堆顶元素 */ + top := maxHeap.Top() + fmt.Printf("堆顶元素为 %d\n", top) + + /* 堆顶元素出堆 */ + testPop(maxHeap) + testPop(maxHeap) + testPop(maxHeap) + testPop(maxHeap) + testPop(maxHeap) + + /* 获取堆大小 */ + size := len(*maxHeap) + fmt.Printf("堆元素数量为 %d\n", size) + + /* 判断堆是否为空 */ + isEmpty := len(*maxHeap) == 0 + fmt.Printf("堆是否为空 %t\n", isEmpty) +} + +func TestMyHeap(t *testing.T) { + /* 初始化堆 */ + // 初始化大顶堆 + maxHeap := newMaxHeap([]any{9, 8, 6, 6, 7, 5, 2, 1, 4, 3, 6, 2}) + fmt.Printf("输入数组并建堆后\n") + maxHeap.print() + + /* 获取堆顶元素 */ + peek := maxHeap.peek() + fmt.Printf("\n堆顶元素为 %d\n", peek) + + /* 元素入堆 */ + val := 7 + maxHeap.push(val) + fmt.Printf("\n元素 %d 入堆后\n", val) + maxHeap.print() + + /* 堆顶元素出堆 */ + peek = maxHeap.poll() + fmt.Printf("\n堆顶元素 %d 出堆后\n", peek) + maxHeap.print() + + /* 获取堆大小 */ + size := maxHeap.size() + fmt.Printf("\n堆元素数量为 %d\n", size) + + /* 判断堆是否为空 */ + isEmpty := maxHeap.isEmpty() + fmt.Printf("\n堆是否为空 %t\n", isEmpty) +} diff --git a/codes/go/chapter_heap/my_heap.go b/codes/go/chapter_heap/my_heap.go new file mode 100644 index 000000000..53e961210 --- /dev/null +++ b/codes/go/chapter_heap/my_heap.go @@ -0,0 +1,139 @@ +// File: my_heap.go +// Created Time: 2023-01-12 +// Author: Reanon (793584285@qq.com) + +package chapter_heap + +import ( + "fmt" + + . "github.com/krahets/hello-algo/pkg" +) + +type maxHeap struct { + // 使用切片而非数组,这样无需考虑扩容问题 + data []any +} + +/* 构造函数,建立空堆 */ +func newHeap() *maxHeap { + return &maxHeap{ + data: make([]any, 0), + } +} + +/* 构造函数,根据切片建堆 */ +func newMaxHeap(nums []any) *maxHeap { + // 所有元素入堆 + h := &maxHeap{data: nums} + for i := len(h.data) - 1; i >= 0; i-- { + // 堆化除叶结点以外的其他所有结点 + h.siftDown(i) + } + return h +} + +/* 获取左子结点索引 */ +func (h *maxHeap) left(i int) int { + return 2*i + 1 +} + +/* 获取右子结点索引 */ +func (h *maxHeap) right(i int) int { + return 2*i + 2 +} + +/* 获取父结点索引 */ +func (h *maxHeap) parent(i int) int { + // 向下整除 + return (i - 1) / 2 +} + +/* 交换元素 */ +func (h *maxHeap) swap(i, j int) { + h.data[i], h.data[j] = h.data[j], h.data[i] +} + +/* 获取堆大小 */ +func (h *maxHeap) size() int { + return len(h.data) +} + +/* 判断堆是否为空 */ +func (h *maxHeap) isEmpty() bool { + return len(h.data) == 0 +} + +/* 访问堆顶元素 */ +func (h *maxHeap) peek() any { + return h.data[0] +} + +/* 元素入堆 */ +func (h *maxHeap) push(val any) { + // 添加结点 + h.data = append(h.data, val) + // 从底至顶堆化 + h.siftUp(len(h.data) - 1) +} + +/* 元素出堆 */ +func (h *maxHeap) poll() any { + // 判空处理 + if h.isEmpty() { + fmt.Println("error") + } + // 交换根结点与最右叶结点(即交换首元素与尾元素) + h.swap(0, h.size()-1) + // 删除结点 + val := h.data[len(h.data)-1] + h.data = h.data[:len(h.data)-1] + // 从顶至底堆化 + h.siftDown(0) + + // 返回堆顶元素 + return val +} + +/* 从结点 i 开始,从顶至底堆化 */ +func (h *maxHeap) siftDown(i int) { + for true { + // 判断结点 i, l, r 中值最大的结点,记为 max + l, r, max := h.left(i), h.right(i), i + if l < h.size() && h.data[l].(int) > h.data[max].(int) { + max = l + } + if r < h.size() && h.data[r].(int) > h.data[max].(int) { + max = r + } + // 若结点 i 最大或索引 l, r 越界,则无需继续堆化,跳出 + if max == i { + break + } + // 交换两结点 + h.swap(i, max) + // 循环向下堆化 + i = max + } +} + +/* 从结点 i 开始,从底至顶堆化 */ +func (h *maxHeap) siftUp(i int) { + for true { + // 获取结点 i 的父结点 + p := h.parent(i) + // 当“越过根结点”或“结点无需修复”时,结束堆化 + if p < 0 || h.data[i].(int) <= h.data[p].(int) { + break + } + // 交换两结点 + h.swap(i, p) + // 循环向上堆化 + i = p + } +} + +/* 打印堆(二叉树) */ +func (h *maxHeap) print() { + PrintHeap(h.data) +} diff --git a/codes/go/pkg/print_utils.go b/codes/go/pkg/print_utils.go index 575ab6b94..d65ebba1d 100644 --- a/codes/go/pkg/print_utils.go +++ b/codes/go/pkg/print_utils.go @@ -29,6 +29,22 @@ func PrintList(list *list.List) { fmt.Print(e.Value, "]\n") } +// PrintMap Print a hash map +func PrintMap[K comparable, V any](m map[K]V) { + for key, value := range m { + fmt.Println(key, "->", value) + } +} + +// PrintHeap Print a heap +func PrintHeap(h []any) { + fmt.Printf("堆的数组表示:") + fmt.Printf("%v", h) + fmt.Printf("\n堆的树状表示:\n") + root := ArrToTree(h) + PrintTree(root) +} + // PrintLinkedList Print a linked list func PrintLinkedList(node *ListNode) { if node == nil { @@ -97,10 +113,3 @@ func showTrunk(t *trunk) { showTrunk(t.prev) fmt.Print(t.str) } - -// PrintMap Print a hash map -func PrintMap[K comparable, V any](m map[K]V) { - for key, value := range m { - fmt.Println(key, "->", value) - } -} From 79d51e36913eac600ace5afc0b4b6fe9e52c49ef Mon Sep 17 00:00:00 2001 From: reanon <793584285@qq.com> Date: Thu, 12 Jan 2023 20:47:11 +0800 Subject: [PATCH 67/86] fix(heap): fix go code --- codes/go/chapter_heap/heap.go | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/codes/go/chapter_heap/heap.go b/codes/go/chapter_heap/heap.go index d28d2ba7e..a2c2eefef 100644 --- a/codes/go/chapter_heap/heap.go +++ b/codes/go/chapter_heap/heap.go @@ -4,9 +4,9 @@ package chapter_heap -// intHeap 是一个由整数组成的最大堆 +// intHeap 是一个由整数组成的堆 // 通过实现 heap.Interface 来构建堆 -type intHeap []any +type intHeap []int // Len sort.Interface 的方法 func (h *intHeap) Len() int { @@ -16,7 +16,7 @@ func (h *intHeap) Len() int { // Less sort.Interface 的方法 func (h *intHeap) Less(i, j int) bool { // 如果实现小顶堆,则需要调整为小于号 - return (*h)[i].(int) > (*h)[j].(int) + return (*h)[i] > (*h)[j] } // Swap sort.Interface 的方法 @@ -34,11 +34,11 @@ func (h *intHeap) Push(x any) { // Top 获取堆顶元素 func (h *intHeap) Top() int { - return (*h)[0].(int) + return (*h)[0] } // Pop heap.Interface 的方法,实现弹出堆顶元素 -func (h *intHeap) Pop() any { +func (h *intHeap) Pop() int { // 待出堆元素存放在最后 last := (*h)[len(*h)-1] *h = (*h)[:len(*h)-1] From 8117a1d47d0e130003126959fe5c17b395a36427 Mon Sep 17 00:00:00 2001 From: reanon <793584285@qq.com> Date: Thu, 12 Jan 2023 20:58:39 +0800 Subject: [PATCH 68/86] fix(heap): fix go code --- codes/go/chapter_heap/heap.go | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/codes/go/chapter_heap/heap.go b/codes/go/chapter_heap/heap.go index a2c2eefef..4a5b0c436 100644 --- a/codes/go/chapter_heap/heap.go +++ b/codes/go/chapter_heap/heap.go @@ -6,7 +6,7 @@ package chapter_heap // intHeap 是一个由整数组成的堆 // 通过实现 heap.Interface 来构建堆 -type intHeap []int +type intHeap []any // Len sort.Interface 的方法 func (h *intHeap) Len() int { @@ -16,7 +16,7 @@ func (h *intHeap) Len() int { // Less sort.Interface 的方法 func (h *intHeap) Less(i, j int) bool { // 如果实现小顶堆,则需要调整为小于号 - return (*h)[i] > (*h)[j] + return (*h)[i].(int) > (*h)[j].(int) } // Swap sort.Interface 的方法 @@ -33,12 +33,12 @@ func (h *intHeap) Push(x any) { } // Top 获取堆顶元素 -func (h *intHeap) Top() int { +func (h *intHeap) Top() any { return (*h)[0] } // Pop heap.Interface 的方法,实现弹出堆顶元素 -func (h *intHeap) Pop() int { +func (h *intHeap) Pop() any { // 待出堆元素存放在最后 last := (*h)[len(*h)-1] *h = (*h)[:len(*h)-1] From 264a2ab6bca636b299d045d61be5d75f626c7517 Mon Sep 17 00:00:00 2001 From: reanon <793584285@qq.com> Date: Fri, 13 Jan 2023 10:25:25 +0800 Subject: [PATCH 69/86] docs(heap): add go codes --- codes/go/chapter_heap/heap.go | 35 ++++---- codes/go/chapter_heap/my_heap.go | 32 +++---- docs/chapter_heap/heap.md | 139 ++++++++++++++++++++++++++++++- 3 files changed, 171 insertions(+), 35 deletions(-) diff --git a/codes/go/chapter_heap/heap.go b/codes/go/chapter_heap/heap.go index 4a5b0c436..5f846ced4 100644 --- a/codes/go/chapter_heap/heap.go +++ b/codes/go/chapter_heap/heap.go @@ -4,10 +4,25 @@ package chapter_heap -// intHeap 是一个由整数组成的堆 -// 通过实现 heap.Interface 来构建堆 +// Go 语言中可以通过实现 heap.Interface 来构建整数大顶堆 +// 实现 heap.Interface 需要同时实现 sort.Interface type intHeap []any +// Push heap.Interface 的方法,实现推入元素到堆 +func (h *intHeap) Push(x any) { + // Push 和 Pop 使用 pointer receiver 作为参数 + // 因为它们不仅会对切片的内容进行调整,还会修改切片的长度。 + *h = append(*h, x.(int)) +} + +// Pop heap.Interface 的方法,实现弹出堆顶元素 +func (h *intHeap) Pop() any { + // 待出堆元素存放在最后 + last := (*h)[len(*h)-1] + *h = (*h)[:len(*h)-1] + return last +} + // Len sort.Interface 的方法 func (h *intHeap) Len() int { return len(*h) @@ -24,23 +39,7 @@ func (h *intHeap) Swap(i, j int) { (*h)[i], (*h)[j] = (*h)[j], (*h)[i] } -// Push heap.Interface 的方法 - -func (h *intHeap) Push(x any) { - // Push 和 Pop 使用 pointer receiver 作为参数 - // 因为它们不仅会对切片的内容进行调整,还会修改切片的长度。 - *h = append(*h, x.(int)) -} - // Top 获取堆顶元素 func (h *intHeap) Top() any { return (*h)[0] } - -// Pop heap.Interface 的方法,实现弹出堆顶元素 -func (h *intHeap) Pop() any { - // 待出堆元素存放在最后 - last := (*h)[len(*h)-1] - *h = (*h)[:len(*h)-1] - return last -} diff --git a/codes/go/chapter_heap/my_heap.go b/codes/go/chapter_heap/my_heap.go index 53e961210..0b3d0a3b1 100644 --- a/codes/go/chapter_heap/my_heap.go +++ b/codes/go/chapter_heap/my_heap.go @@ -77,6 +77,22 @@ func (h *maxHeap) push(val any) { h.siftUp(len(h.data) - 1) } +/* 从结点 i 开始,从底至顶堆化 */ +func (h *maxHeap) siftUp(i int) { + for true { + // 获取结点 i 的父结点 + p := h.parent(i) + // 当“越过根结点”或“结点无需修复”时,结束堆化 + if p < 0 || h.data[i].(int) <= h.data[p].(int) { + break + } + // 交换两结点 + h.swap(i, p) + // 循环向上堆化 + i = p + } +} + /* 元素出堆 */ func (h *maxHeap) poll() any { // 判空处理 @@ -117,22 +133,6 @@ func (h *maxHeap) siftDown(i int) { } } -/* 从结点 i 开始,从底至顶堆化 */ -func (h *maxHeap) siftUp(i int) { - for true { - // 获取结点 i 的父结点 - p := h.parent(i) - // 当“越过根结点”或“结点无需修复”时,结束堆化 - if p < 0 || h.data[i].(int) <= h.data[p].(int) { - break - } - // 交换两结点 - h.swap(i, p) - // 循环向上堆化 - i = p - } -} - /* 打印堆(二叉树) */ func (h *maxHeap) print() { PrintHeap(h.data) diff --git a/docs/chapter_heap/heap.md b/docs/chapter_heap/heap.md index 73f425ff7..91f7670bc 100644 --- a/docs/chapter_heap/heap.md +++ b/docs/chapter_heap/heap.md @@ -97,7 +97,45 @@ comments: true === "Go" ```go title="heap.go" + // Go 语言中可以通过实现 heap.Interface 来构建整数大顶堆 + // 实现 heap.Interface 需要同时实现 sort.Interface + type intHeap []any + // Push heap.Interface 的方法,实现推入元素到堆 + func (h *intHeap) Push(x any) { + // Push 和 Pop 使用 pointer receiver 作为参数 + // 因为它们不仅会对切片的内容进行调整,还会修改切片的长度。 + *h = append(*h, x.(int)) + } + + // Pop heap.Interface 的方法,实现弹出堆顶元素 + func (h *intHeap) Pop() any { + // 待出堆元素存放在最后 + last := (*h)[len(*h)-1] + *h = (*h)[:len(*h)-1] + return last + } + + // Len sort.Interface 的方法 + func (h *intHeap) Len() int { + return len(*h) + } + + // Less sort.Interface 的方法 + func (h *intHeap) Less(i, j int) bool { + // 如果实现小顶堆,则需要调整为小于号 + return (*h)[i].(int) > (*h)[j].(int) + } + + // Swap sort.Interface 的方法 + func (h *intHeap) Swap(i, j int) { + (*h)[i], (*h)[j] = (*h)[j], (*h)[i] + } + + // Top 获取堆顶元素 + func (h *intHeap) Top() any { + return (*h)[0] + } ``` === "JavaScript" @@ -188,7 +226,33 @@ comments: true === "Go" ```go title="my_heap.go" + type maxHeap struct { + // 使用切片而非数组,这样无需考虑扩容问题 + data []any + } + /* 构造函数,建立空堆 */ + func newHeap() *maxHeap { + return &maxHeap{ + data: make([]any, 0), + } + } + + /* 获取左子结点索引 */ + func (h *maxHeap) left(i int) int { + return 2*i + 1 + } + + /* 获取右子结点索引 */ + func (h *maxHeap) right(i int) int { + return 2*i + 2 + } + + /* 获取父结点索引 */ + func (h *maxHeap) parent(i int) int { + // 向下整除 + return (i - 1) / 2 + } ``` === "JavaScript" @@ -249,6 +313,10 @@ comments: true === "Go" ```go title="my_heap.go" + /* 访问堆顶元素 */ + func (h *maxHeap) peek() any { + return h.data[0] + } ``` @@ -350,7 +418,29 @@ comments: true === "Go" ```go title="my_heap.go" + /* 元素入堆 */ + func (h *maxHeap) push(val any) { + // 添加结点 + h.data = append(h.data, val) + // 从底至顶堆化 + h.siftUp(len(h.data) - 1) + } + /* 从结点 i 开始,从底至顶堆化 */ + func (h *maxHeap) siftUp(i int) { + for true { + // 获取结点 i 的父结点 + p := h.parent(i) + // 当“越过根结点”或“结点无需修复”时,结束堆化 + if p < 0 || h.data[i].(int) <= h.data[p].(int) { + break + } + // 交换两结点 + h.swap(i, p) + // 循环向上堆化 + i = p + } + } ``` === "JavaScript" @@ -477,7 +567,45 @@ comments: true === "Go" ```go title="my_heap.go" + /* 元素出堆 */ + func (h *maxHeap) poll() any { + // 判空处理 + if h.isEmpty() { + fmt.Println("error") + } + // 交换根结点与最右叶结点(即交换首元素与尾元素) + h.swap(0, h.size()-1) + // 删除结点 + val := h.data[len(h.data)-1] + h.data = h.data[:len(h.data)-1] + // 从顶至底堆化 + h.siftDown(0) + // 返回堆顶元素 + return val + } + + /* 从结点 i 开始,从顶至底堆化 */ + func (h *maxHeap) siftDown(i int) { + for true { + // 判断结点 i, l, r 中值最大的结点,记为 max + l, r, max := h.left(i), h.right(i), i + if l < h.size() && h.data[l].(int) > h.data[max].(int) { + max = l + } + if r < h.size() && h.data[r].(int) > h.data[max].(int) { + max = r + } + // 若结点 i 最大或索引 l, r 越界,则无需继续堆化,跳出 + if max == i { + break + } + // 交换两结点 + h.swap(i, max) + // 循环向下堆化 + i = max + } + } ``` === "JavaScript" @@ -545,7 +673,16 @@ comments: true === "Go" ```go title="my_heap.go" - + /* 构造函数,根据切片建堆 */ + func newMaxHeap(nums []any) *maxHeap { + // 所有元素入堆 + h := &maxHeap{data: nums} + for i := len(h.data) - 1; i >= 0; i-- { + // 堆化除叶结点以外的其他所有结点 + h.siftDown(i) + } + return h + } ``` === "JavaScript" From 3dcdd1c72dafdae44ab5e7bfdbc06918a3adff93 Mon Sep 17 00:00:00 2001 From: reanon <793584285@qq.com> Date: Fri, 13 Jan 2023 17:37:24 +0800 Subject: [PATCH 70/86] fix(heap): add go codes --- codes/go/chapter_heap/heap.go | 40 +++++++++++++++++++++++++++++++++++ docs/chapter_heap/heap.md | 36 ++++++++++++++++++++++++++++++- 2 files changed, 75 insertions(+), 1 deletion(-) diff --git a/codes/go/chapter_heap/heap.go b/codes/go/chapter_heap/heap.go index 5f846ced4..886ec20e8 100644 --- a/codes/go/chapter_heap/heap.go +++ b/codes/go/chapter_heap/heap.go @@ -4,6 +4,11 @@ package chapter_heap +import ( + "container/heap" + "fmt" +) + // Go 语言中可以通过实现 heap.Interface 来构建整数大顶堆 // 实现 heap.Interface 需要同时实现 sort.Interface type intHeap []any @@ -43,3 +48,38 @@ func (h *intHeap) Swap(i, j int) { func (h *intHeap) Top() any { return (*h)[0] } + +/* Driver Code */ +func main() { + /* 初始化堆 */ + // 初始化大顶堆 + maxHeap := &intHeap{} + heap.Init(maxHeap) + /* 元素入堆 */ + // 调用 heap.Interface 的方法,来添加元素 + heap.Push(maxHeap, 1) + heap.Push(maxHeap, 3) + heap.Push(maxHeap, 2) + heap.Push(maxHeap, 4) + heap.Push(maxHeap, 5) + + /* 获取堆顶元素 */ + top := maxHeap.Top() + fmt.Printf("堆顶元素为 %d\n", top) + + /* 堆顶元素出堆 */ + // 调用 heap.Interface 的方法,来移除元素 + heap.Pop(maxHeap) + heap.Pop(maxHeap) + heap.Pop(maxHeap) + heap.Pop(maxHeap) + heap.Pop(maxHeap) + + /* 获取堆大小 */ + size := len(*maxHeap) + fmt.Printf("堆元素数量为 %d\n", size) + + /* 判断堆是否为空 */ + isEmpty := len(*maxHeap) == 0 + fmt.Printf("堆是否为空 %t\n", isEmpty) +} diff --git a/docs/chapter_heap/heap.md b/docs/chapter_heap/heap.md index 91f7670bc..924993257 100644 --- a/docs/chapter_heap/heap.md +++ b/docs/chapter_heap/heap.md @@ -136,6 +136,41 @@ comments: true func (h *intHeap) Top() any { return (*h)[0] } + + /* Driver Code */ + func TestHeap(t *testing.T) { + /* 初始化堆 */ + // 初始化大顶堆 + maxHeap := &intHeap{} + heap.Init(maxHeap) + /* 元素入堆 */ + // 调用 heap.Interface 的方法,来添加元素 + heap.Push(maxHeap, 1) + heap.Push(maxHeap, 3) + heap.Push(maxHeap, 2) + heap.Push(maxHeap, 4) + heap.Push(maxHeap, 5) + + /* 获取堆顶元素 */ + top := maxHeap.Top() + fmt.Printf("堆顶元素为 %d\n", top) + + /* 堆顶元素出堆 */ + // 调用 heap.Interface 的方法,来移除元素 + heap.Pop(maxHeap) + heap.Pop(maxHeap) + heap.Pop(maxHeap) + heap.Pop(maxHeap) + heap.Pop(maxHeap) + + /* 获取堆大小 */ + size := len(*maxHeap) + fmt.Printf("堆元素数量为 %d\n", size) + + /* 判断堆是否为空 */ + isEmpty := len(*maxHeap) == 0 + fmt.Printf("堆是否为空 %t\n", isEmpty) + } ``` === "JavaScript" @@ -317,7 +352,6 @@ comments: true func (h *maxHeap) peek() any { return h.data[0] } - ``` === "JavaScript" From ec28b4ce7a3d4580422c58275329b3cd192b4bb1 Mon Sep 17 00:00:00 2001 From: reanon <793584285@qq.com> Date: Fri, 13 Jan 2023 17:40:20 +0800 Subject: [PATCH 71/86] fix(heap): add go codes --- codes/go/chapter_heap/heap.go | 40 ----------------------------------- docs/chapter_heap/heap.md | 2 +- 2 files changed, 1 insertion(+), 41 deletions(-) diff --git a/codes/go/chapter_heap/heap.go b/codes/go/chapter_heap/heap.go index 886ec20e8..5f846ced4 100644 --- a/codes/go/chapter_heap/heap.go +++ b/codes/go/chapter_heap/heap.go @@ -4,11 +4,6 @@ package chapter_heap -import ( - "container/heap" - "fmt" -) - // Go 语言中可以通过实现 heap.Interface 来构建整数大顶堆 // 实现 heap.Interface 需要同时实现 sort.Interface type intHeap []any @@ -48,38 +43,3 @@ func (h *intHeap) Swap(i, j int) { func (h *intHeap) Top() any { return (*h)[0] } - -/* Driver Code */ -func main() { - /* 初始化堆 */ - // 初始化大顶堆 - maxHeap := &intHeap{} - heap.Init(maxHeap) - /* 元素入堆 */ - // 调用 heap.Interface 的方法,来添加元素 - heap.Push(maxHeap, 1) - heap.Push(maxHeap, 3) - heap.Push(maxHeap, 2) - heap.Push(maxHeap, 4) - heap.Push(maxHeap, 5) - - /* 获取堆顶元素 */ - top := maxHeap.Top() - fmt.Printf("堆顶元素为 %d\n", top) - - /* 堆顶元素出堆 */ - // 调用 heap.Interface 的方法,来移除元素 - heap.Pop(maxHeap) - heap.Pop(maxHeap) - heap.Pop(maxHeap) - heap.Pop(maxHeap) - heap.Pop(maxHeap) - - /* 获取堆大小 */ - size := len(*maxHeap) - fmt.Printf("堆元素数量为 %d\n", size) - - /* 判断堆是否为空 */ - isEmpty := len(*maxHeap) == 0 - fmt.Printf("堆是否为空 %t\n", isEmpty) -} diff --git a/docs/chapter_heap/heap.md b/docs/chapter_heap/heap.md index 924993257..15d22e787 100644 --- a/docs/chapter_heap/heap.md +++ b/docs/chapter_heap/heap.md @@ -262,7 +262,7 @@ comments: true ```go title="my_heap.go" type maxHeap struct { - // 使用切片而非数组,这样无需考虑扩容问题 + // 使用切片而非数组,这样无需考虑扩容问题 data []any } From 71a56f94c86e86670543c86c0cdfdc5f2cc69283 Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Fri, 13 Jan 2023 20:17:44 +0800 Subject: [PATCH 72/86] add zig codes for Section 'Hash Map' --- codes/zig/build.zig | 14 +++++++ codes/zig/chapter_hashing/hash_map.zig | 55 ++++++++++++++++++++++++++ codes/zig/include/PrintUtil.zig | 10 +++++ 3 files changed, 79 insertions(+) create mode 100644 codes/zig/chapter_hashing/hash_map.zig diff --git a/codes/zig/build.zig b/codes/zig/build.zig index a8738fae9..a922ae868 100644 --- a/codes/zig/build.zig +++ b/codes/zig/build.zig @@ -160,6 +160,20 @@ pub fn build(b: *std.build.Builder) void { const run_step_array_stack = b.step("run_array_stack", "Run array_stack"); run_step_array_stack.dependOn(&run_cmd_array_stack.step); + // Section: "Hash Map" + // Source File: "chapter_hashing/hash_map.zig" + // Run Command: zig build run_hash_map + const exe_hash_map = b.addExecutable("hash_map", "chapter_hashing/hash_map.zig"); + exe_hash_map.addPackagePath("include", "include/include.zig"); + exe_hash_map.setTarget(target); + exe_hash_map.setBuildMode(mode); + exe_hash_map.install(); + const run_cmd_hash_map = exe_hash_map.run(); + run_cmd_hash_map.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_hash_map.addArgs(args); + const run_step_hash_map= b.step("run_hash_map", "Run hash_map"); + run_step_hash_map.dependOn(&run_cmd_hash_map.step); + // Section: "Bubble Sort" // Source File: "chapter_sorting/bubble_sort.zig" // Run Command: zig build run_bubble_sort diff --git a/codes/zig/chapter_hashing/hash_map.zig b/codes/zig/chapter_hashing/hash_map.zig new file mode 100644 index 000000000..1e217c43c --- /dev/null +++ b/codes/zig/chapter_hashing/hash_map.zig @@ -0,0 +1,55 @@ +// File: hash_map.zig +// Created Time: 2023-01-13 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// Driver Code +pub fn main() !void { + // 初始化哈希表 + var map = std.AutoHashMap(i32, []const u8).init(std.heap.page_allocator); + // 延迟释放内存 + defer map.deinit(); + + // 添加操作 + // 在哈希表中添加键值对 (key, value) + try map.put(12836, "小哈"); + try map.put(15937, "小啰"); + try map.put(16750, "小算"); + try map.put(13276, "小法"); + try map.put(10583, "小鸭"); + std.debug.print("\n添加完成后,哈希表为\nKey -> Value\n", .{}); + inc.PrintUtil.printHashMap(i32, []const u8, map); + + // 查询操作 + // 向哈希表输入键 key ,得到值 value + var name = map.get(15937).?; + std.debug.print("\n输入学号 15937 ,查询到姓名 {s}\n", .{name}); + + // 删除操作 + // 在哈希表中删除键值对 (key, value) + _ = map.remove(10583); + std.debug.print("\n删除 10583 后,哈希表为\nKey -> Value\n", .{}); + inc.PrintUtil.printHashMap(i32, []const u8, map); + + // 遍历哈希表 + std.debug.print("\n遍历键值对 Key->Value\n", .{}); + inc.PrintUtil.printHashMap(i32, []const u8, map); + + std.debug.print("\n单独遍历键 Key\n", .{}); + var it = map.iterator(); + while (it.next()) |kv| { + std.debug.print("{}\n", .{kv.key_ptr.*}); + } + + std.debug.print("\n单独遍历值 value\n", .{}); + it = map.iterator(); + while (it.next()) |kv| { + std.debug.print("{s}\n", .{kv.value_ptr.*}); + } + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} + diff --git a/codes/zig/include/PrintUtil.zig b/codes/zig/include/PrintUtil.zig index 4d2d20893..2ef9047cb 100644 --- a/codes/zig/include/PrintUtil.zig +++ b/codes/zig/include/PrintUtil.zig @@ -46,6 +46,16 @@ pub fn printLinkedList(comptime T: type, node: ?*ListNode(T)) !void { } } +// Print a HashMap +pub fn printHashMap(comptime TKey: type, comptime TValue: type, map: std.AutoHashMap(TKey, TValue)) void { + var it = map.iterator(); + while (it.next()) |kv| { + var key = kv.key_ptr.*; + var value = kv.value_ptr.*; + std.debug.print("{} -> {s}\n", .{key, value}); + } +} + // This tree printer is borrowed from TECHIE DELIGHT // https://www.techiedelight.com/c-program-print-binary-tree/ const Trunk = struct { From 722fb71bddef0c27bd814c618947af408a15aa28 Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Fri, 13 Jan 2023 23:23:26 +0800 Subject: [PATCH 73/86] add zig codes for Section 'Hash Map' and 'Linear Search' --- codes/zig/build.zig | 14 +++++ codes/zig/chapter_searching/linear_search.zig | 55 +++++++++++++++++++ codes/zig/include/ListNode.zig | 14 +++++ codes/zig/include/include.zig | 6 +- 4 files changed, 87 insertions(+), 2 deletions(-) create mode 100644 codes/zig/chapter_searching/linear_search.zig diff --git a/codes/zig/build.zig b/codes/zig/build.zig index a922ae868..4fae68efa 100644 --- a/codes/zig/build.zig +++ b/codes/zig/build.zig @@ -174,6 +174,20 @@ pub fn build(b: *std.build.Builder) void { const run_step_hash_map= b.step("run_hash_map", "Run hash_map"); run_step_hash_map.dependOn(&run_cmd_hash_map.step); + // Section: "Linear Search" + // Source File: "chapter_searching/linear_search.zig" + // Run Command: zig build run_linear_search + const exe_linear_search = b.addExecutable("linear_search", "chapter_searching/linear_search.zig"); + exe_linear_search.addPackagePath("include", "include/include.zig"); + exe_linear_search.setTarget(target); + exe_linear_search.setBuildMode(mode); + exe_linear_search.install(); + const run_cmd_linear_search = exe_linear_search.run(); + run_cmd_linear_search.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_linear_search.addArgs(args); + const run_step_linear_search= b.step("run_linear_search", "Run linear_search"); + run_step_linear_search.dependOn(&run_cmd_linear_search.step); + // Section: "Bubble Sort" // Source File: "chapter_sorting/bubble_sort.zig" // Run Command: zig build run_bubble_sort diff --git a/codes/zig/chapter_searching/linear_search.zig b/codes/zig/chapter_searching/linear_search.zig new file mode 100644 index 000000000..a2e7c2a45 --- /dev/null +++ b/codes/zig/chapter_searching/linear_search.zig @@ -0,0 +1,55 @@ +// File: linear_search.zig +// Created Time: 2023-01-13 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// 线性查找(数组) +fn linearSearchList(comptime T: type, nums: std.ArrayList(T), target: T) T { + // 遍历数组 + for (nums.items) |num, i| { + // 找到目标元素, 返回其索引 + if (num == target) { + return @intCast(T, i); + } + } + // 未找到目标元素,返回 -1 + return -1; +} + +// 线性查找(链表) +pub fn linearSearchLinkedList(comptime T: type, node: ?*inc.ListNode(T), target: T) ?*inc.ListNode(T) { + var head = node; + // 遍历链表 + while (head != null) { + // 找到目标结点,返回之 + if (head.?.val == target) return head; + head = head.?.next; + } + return null; +} + +// Driver Code +pub fn main() !void { + var target: i32 = 3; + + // 在数组中执行线性查找 + var nums = std.ArrayList(i32).init(std.heap.page_allocator); + defer nums.deinit(); + try nums.appendSlice(&[_]i32{ 1, 5, 3, 2, 4, 7, 5, 9, 10, 8 }); + var index = linearSearchList(i32, nums, target); + std.debug.print("目标元素 3 的索引 = {}\n", .{index}); + + // 在链表中执行线性查找 + var mem_arena = std.heap.ArenaAllocator.init(std.heap.page_allocator); + defer mem_arena.deinit(); + const mem_allocator = mem_arena.allocator(); + var head = try inc.ListUtil.listToLinkedList(i32, mem_allocator, nums); + var node = linearSearchLinkedList(i32, head, target); + std.debug.print("目标结点值 3 的对应结点对象为 {any}", .{node}); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} + diff --git a/codes/zig/include/ListNode.zig b/codes/zig/include/ListNode.zig index ae0246c09..f15ec6625 100644 --- a/codes/zig/include/ListNode.zig +++ b/codes/zig/include/ListNode.zig @@ -18,4 +18,18 @@ pub fn ListNode(comptime T: type) type { self.val = x; } }; +} + +// Generate a linked list with a list +pub fn listToLinkedList(comptime T: type, mem_allocator: std.mem.Allocator, list: std.ArrayList(T)) !?*ListNode(T) { + var dum = try mem_allocator.create(ListNode(T)); + dum.init(0); + var head = dum; + for (list.items) |val| { + var tmp = try mem_allocator.create(ListNode(T)); + tmp.init(val); + head.next = tmp; + head = head.next.?; + } + return dum.next; } \ No newline at end of file diff --git a/codes/zig/include/include.zig b/codes/zig/include/include.zig index 20dfca90f..42cd76cf1 100644 --- a/codes/zig/include/include.zig +++ b/codes/zig/include/include.zig @@ -3,5 +3,7 @@ // Author: sjinzh (sjinzh@gmail.com) pub const PrintUtil = @import("PrintUtil.zig"); -pub const ListNode = @import("ListNode.zig").ListNode; -pub const TreeNode = @import("TreeNode.zig").TreeNode; \ No newline at end of file +pub const ListUtil = @import("ListNode.zig"); +pub const ListNode = ListUtil.ListNode; +pub const TreeUtil = @import("TreeNode.zig"); +pub const TreeNode = TreeUtil.TreeNode; \ No newline at end of file From 6f65c84e36e8f8c86a199b278f7e4efcd0d888b4 Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Fri, 13 Jan 2023 23:40:37 +0800 Subject: [PATCH 74/86] add zig codes for Section 'Hash Map' and 'Linear Search' --- codes/zig/chapter_searching/linear_search.zig | 3 ++- codes/zig/include/ListNode.zig | 1 + codes/zig/include/TreeNode.zig | 2 ++ 3 files changed, 5 insertions(+), 1 deletion(-) diff --git a/codes/zig/chapter_searching/linear_search.zig b/codes/zig/chapter_searching/linear_search.zig index a2e7c2a45..3ba21313b 100644 --- a/codes/zig/chapter_searching/linear_search.zig +++ b/codes/zig/chapter_searching/linear_search.zig @@ -47,7 +47,8 @@ pub fn main() !void { const mem_allocator = mem_arena.allocator(); var head = try inc.ListUtil.listToLinkedList(i32, mem_allocator, nums); var node = linearSearchLinkedList(i32, head, target); - std.debug.print("目标结点值 3 的对应结点对象为 {any}", .{node}); + std.debug.print("目标结点值 3 的对应结点对象为 ", .{}); + try inc.PrintUtil.printLinkedList(i32, node); const getchar = try std.io.getStdIn().reader().readByte(); _ = getchar; diff --git a/codes/zig/include/ListNode.zig b/codes/zig/include/ListNode.zig index f15ec6625..da7e667c0 100644 --- a/codes/zig/include/ListNode.zig +++ b/codes/zig/include/ListNode.zig @@ -16,6 +16,7 @@ pub fn ListNode(comptime T: type) type { // Initialize a list node with specific value pub fn init(self: *Self, x: i32) void { self.val = x; + self.next = null; } }; } diff --git a/codes/zig/include/TreeNode.zig b/codes/zig/include/TreeNode.zig index 12af9e8f3..0c6bbf73e 100644 --- a/codes/zig/include/TreeNode.zig +++ b/codes/zig/include/TreeNode.zig @@ -17,6 +17,8 @@ pub fn TreeNode(comptime T: type) type { // Initialize a tree node with specific value pub fn init(self: *Self, x: i32) void { self.val = x; + self.left = null; + self.right = null; } }; } \ No newline at end of file From 595aa939969c91e33bc286a018ae56c1252d0db8 Mon Sep 17 00:00:00 2001 From: nuomi1 Date: Sat, 14 Jan 2023 01:06:00 +0800 Subject: [PATCH 75/86] feat: add Swift codes for deque article --- codes/swift/Package.swift | 2 + .../swift/chapter_stack_and_queue/deque.swift | 43 +++++++++++++++++++ docs/chapter_stack_and_queue/deque.md | 25 ++++++++++- 3 files changed, 69 insertions(+), 1 deletion(-) create mode 100644 codes/swift/chapter_stack_and_queue/deque.swift diff --git a/codes/swift/Package.swift b/codes/swift/Package.swift index 89c03d9f6..c20c58f99 100644 --- a/codes/swift/Package.swift +++ b/codes/swift/Package.swift @@ -19,6 +19,7 @@ let package = Package( .executable(name: "queue", targets: ["queue"]), .executable(name: "linkedlist_queue", targets: ["linkedlist_queue"]), .executable(name: "array_queue", targets: ["array_queue"]), + .executable(name: "deque", targets: ["deque"]), ], targets: [ .target(name: "utils", path: "utils"), @@ -36,5 +37,6 @@ let package = Package( .executableTarget(name: "queue", path: "chapter_stack_and_queue", sources: ["queue.swift"]), .executableTarget(name: "linkedlist_queue", dependencies: ["utils"], path: "chapter_stack_and_queue", sources: ["linkedlist_queue.swift"]), .executableTarget(name: "array_queue", path: "chapter_stack_and_queue", sources: ["array_queue.swift"]), + .executableTarget(name: "deque", path: "chapter_stack_and_queue", sources: ["deque.swift"]), ] ) diff --git a/codes/swift/chapter_stack_and_queue/deque.swift b/codes/swift/chapter_stack_and_queue/deque.swift new file mode 100644 index 000000000..205da4055 --- /dev/null +++ b/codes/swift/chapter_stack_and_queue/deque.swift @@ -0,0 +1,43 @@ +/** + * File: deque.swift + * Created Time: 2023-01-14 + * Author: nuomi1 (nuomi1@qq.com) + */ + +@main +enum Deque { + /* Driver Code */ + static func main() { + /* 初始化双向队列 */ + // Swift 没有内置的双向队列类,可以把 Array 当作双向队列来使用 + var deque: [Int] = [] + + /* 元素入队 */ + deque.append(2) + deque.append(5) + deque.append(4) + deque.insert(3, at: 0) + deque.insert(1, at: 0) + print("双向队列 deque = \(deque)") + + /* 访问元素 */ + let peekFirst = deque.first! + print("队首元素 peekFirst = \(peekFirst)") + let peekLast = deque.last! + print("队尾元素 peekLast = \(peekLast)") + + /* 元素出队 */ + let pollFirst = deque.removeFirst() + print("队首出队元素 pollFirst = \(pollFirst),队首出队后 deque = \(deque)") + let pollLast = deque.removeLast() + print("队尾出队元素 pollLast = \(pollLast),队尾出队后 deque = \(deque)") + + /* 获取双向队列的长度 */ + let size = deque.count + print("双向队列长度 size = \(size)") + + /* 判断双向队列是否为空 */ + let isEmpty = deque.isEmpty + print("双向队列是否为空 = \(isEmpty)") + } +} diff --git a/docs/chapter_stack_and_queue/deque.md b/docs/chapter_stack_and_queue/deque.md index 4671d5c9e..e4674d5f1 100644 --- a/docs/chapter_stack_and_queue/deque.md +++ b/docs/chapter_stack_and_queue/deque.md @@ -196,5 +196,28 @@ comments: true === "Swift" ```swift title="deque.swift" - + /* 初始化双向队列 */ + // Swift 没有内置的双向队列类,可以把 Array 当作双向队列来使用 + var deque: [Int] = [] + + /* 元素入队 */ + deque.append(2) // 添加至队尾 + deque.append(5) + deque.append(4) + deque.insert(3, at: 0) // 添加至队首 + deque.insert(1, at: 0) + + /* 访问元素 */ + let peekFirst = deque.first! // 队首元素 + let peekLast = deque.last! // 队尾元素 + + /* 元素出队 */ + let pollFirst = deque.removeFirst() // 队首元素出队 + let pollLast = deque.removeLast() // 队尾元素出队 + + /* 获取双向队列的长度 */ + let size = deque.count + + /* 判断双向队列是否为空 */ + let isEmpty = deque.isEmpty ``` From 1ffe4392ec3632d3d2bf42a64556db8f811b8db5 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Sat, 14 Jan 2023 01:21:47 +0800 Subject: [PATCH 76/86] Update C, C++ installation. --- docs/chapter_introduction/what_is_dsa.md | 2 +- docs/chapter_preface/installation.md | 5 ++--- 2 files changed, 3 insertions(+), 4 deletions(-) diff --git a/docs/chapter_introduction/what_is_dsa.md b/docs/chapter_introduction/what_is_dsa.md index 67b3c37e1..10ea25133 100644 --- a/docs/chapter_introduction/what_is_dsa.md +++ b/docs/chapter_introduction/what_is_dsa.md @@ -6,7 +6,7 @@ comments: true ## 算法定义 -「算法 Algorithm」是在有限时间内解决问题的一组指令或操作步骤。算法具有以下特性: +「算法 Algorithm」是在有限时间内解决特定问题的一组指令或操作步骤。算法具有以下特性: - 问题是明确的,需要拥有明确的输入和输出定义。 - 解具有确定性,即给定相同输入时,输出一定相同。 diff --git a/docs/chapter_preface/installation.md b/docs/chapter_preface/installation.md index 828365edf..e23608a68 100644 --- a/docs/chapter_preface/installation.md +++ b/docs/chapter_preface/installation.md @@ -15,10 +15,9 @@ comments: true 1. 下载并安装 [OpenJDK](https://jdk.java.net/18/)(版本需满足 > JDK 9)。 2. 在 VSCode 的插件市场中搜索 `java` ,安装 Java Extension Pack 。 +## C/C++ 环境 -## C++ 环境 - -1. Windows 系统需要安装 [MinGW](https://www.mingw-w64.org/downloads/) ,MacOS 自带 Clang 无需安装。 +1. Windows 系统需要安装 [MinGW](https://sourceforge.net/projects/mingw-w64/files/) ([完整配置教程](https://zhuanlan.zhihu.com/p/77074009)),MacOS 自带 Clang 无需安装。 2. 在 VSCode 的插件市场中搜索 `c++` ,安装 C/C++ Extension Pack 。 ## Python 环境 From 5fee1901cc0e0720fbd42522681eb23a454eee4c Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Sat, 14 Jan 2023 08:11:54 +0800 Subject: [PATCH 77/86] add zig codes for Section 'Hash Map', 'Linear Search' and 'Heap' --- codes/zig/build.zig | 14 ++++++ codes/zig/chapter_heap/heap.zig | 85 +++++++++++++++++++++++++++++++++ codes/zig/include/PrintUtil.zig | 17 ++++++- codes/zig/include/TreeNode.zig | 36 ++++++++++++++ 4 files changed, 150 insertions(+), 2 deletions(-) create mode 100644 codes/zig/chapter_heap/heap.zig diff --git a/codes/zig/build.zig b/codes/zig/build.zig index 4fae68efa..5a97289d2 100644 --- a/codes/zig/build.zig +++ b/codes/zig/build.zig @@ -174,6 +174,20 @@ pub fn build(b: *std.build.Builder) void { const run_step_hash_map= b.step("run_hash_map", "Run hash_map"); run_step_hash_map.dependOn(&run_cmd_hash_map.step); + // Section: "Heap" + // Source File: "chapter_heap/heap.zig" + // Run Command: zig build run_heap + const exe_heap = b.addExecutable("heap", "chapter_heap/heap.zig"); + exe_heap.addPackagePath("include", "include/include.zig"); + exe_heap.setTarget(target); + exe_heap.setBuildMode(mode); + exe_heap.install(); + const run_cmd_heap = exe_heap.run(); + run_cmd_heap.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_heap.addArgs(args); + const run_step_heap = b.step("run_heap", "Run heap"); + run_step_heap.dependOn(&run_cmd_heap.step); + // Section: "Linear Search" // Source File: "chapter_searching/linear_search.zig" // Run Command: zig build run_linear_search diff --git a/codes/zig/chapter_heap/heap.zig b/codes/zig/chapter_heap/heap.zig new file mode 100644 index 000000000..02e4ce8f1 --- /dev/null +++ b/codes/zig/chapter_heap/heap.zig @@ -0,0 +1,85 @@ +// File: heap.zig +// Created Time: 2023-01-14 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +fn lessThan(context: void, a: i32, b: i32) std.math.Order { + _ = context; + return std.math.order(a, b); +} + +fn greaterThan(context: void, a: i32, b: i32) std.math.Order { + return lessThan(context, a, b).invert(); +} + +fn testPush(comptime T: type, mem_allocator: std.mem.Allocator, heap_push: anytype, val: T) !void { + var heap = heap_push; + try heap.add(val); //元素入堆 + std.debug.print("\n元素 {} 入堆后\n", .{val}); + try inc.PrintUtil.printHeap(T, mem_allocator, heap); +} + +fn testPop(comptime T: type, mem_allocator: std.mem.Allocator, heap_pop: anytype) !void { + var val = heap_pop.remove(); //堆顶元素出堆 + std.debug.print("\n堆顶元素 {} 出堆后\n", .{val}); + try inc.PrintUtil.printHeap(T, mem_allocator, heap_pop); +} + +// Driver Code +pub fn main() !void { + // 初始化内存分配器 + var mem_arena = std.heap.ArenaAllocator.init(std.heap.page_allocator); + // 延迟释放内存 + defer mem_arena.deinit(); + const mem_allocator = mem_arena.allocator(); + + // 初始化堆 + // 初始化小顶堆 + const PQlt = std.PriorityQueue(i32, void, lessThan); + var minHeap = PQlt.init(std.heap.page_allocator, {}); + defer minHeap.deinit(); + // 初始化大顶堆 + const PQgt = std.PriorityQueue(i32, void, greaterThan); + var maxHeap = PQgt.init(std.heap.page_allocator, {}); + defer maxHeap.deinit(); + + std.debug.print("\n以下测试样例为大顶堆", .{}); + + // 元素入堆 + try testPush(i32, mem_allocator, &maxHeap, 1); + try testPush(i32, mem_allocator, &maxHeap, 3); + try testPush(i32, mem_allocator, &maxHeap, 2); + try testPush(i32, mem_allocator, &maxHeap, 5); + try testPush(i32, mem_allocator, &maxHeap, 4); + + // 获取堆顶元素 + var peek = maxHeap.peek().?; + std.debug.print("\n堆顶元素为 {}\n", .{peek}); + + // 堆顶元素出堆 + try testPop(i32, mem_allocator, &maxHeap); + try testPop(i32, mem_allocator, &maxHeap); + try testPop(i32, mem_allocator, &maxHeap); + try testPop(i32, mem_allocator, &maxHeap); + try testPop(i32, mem_allocator, &maxHeap); + + // 获取堆的大小 + var size = maxHeap.len; + std.debug.print("\n堆元素数量为 {}", .{size}); + + // 判断堆是否为空 + var isEmpty = if (maxHeap.len == 0) true else false; + std.debug.print("\n堆是否为空 {}\n", .{isEmpty}); + + // 输入列表并建堆 + // 时间复杂度为 O(n) ,而非 O(nlogn) + try minHeap.addSlice(&[_]i32{ 1, 3, 2, 5, 4 }); + std.debug.print("\n输入列表并建立小顶堆后\n", .{}); + try inc.PrintUtil.printHeap(i32, mem_allocator, minHeap); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} + diff --git a/codes/zig/include/PrintUtil.zig b/codes/zig/include/PrintUtil.zig index 2ef9047cb..d126acb32 100644 --- a/codes/zig/include/PrintUtil.zig +++ b/codes/zig/include/PrintUtil.zig @@ -3,8 +3,10 @@ // Author: sjinzh (sjinzh@gmail.com) const std = @import("std"); -const ListNode = @import("ListNode.zig").ListNode; -const TreeNode = @import("TreeNode.zig").TreeNode; +pub const ListUtil = @import("ListNode.zig"); +pub const ListNode = ListUtil.ListNode; +pub const TreeUtil = @import("TreeNode.zig"); +pub const TreeNode = TreeUtil.TreeNode; // Print an array pub fn printArray(comptime T: type, nums: []T) void { @@ -56,6 +58,17 @@ pub fn printHashMap(comptime TKey: type, comptime TValue: type, map: std.AutoHas } } +// print a heap (PriorityQueue) +pub fn printHeap(comptime T: type, mem_allocator: std.mem.Allocator, queue: anytype) !void { + var arr = queue.items; + var len = queue.len; + std.debug.print("堆的数组表示:", .{}); + printArray(T, arr[0..len]); + std.debug.print("\n堆的树状表示:\n", .{}); + var root = try TreeUtil.arrToTree(T, mem_allocator, arr[0..len]); + try printTree(root, null, false); +} + // This tree printer is borrowed from TECHIE DELIGHT // https://www.techiedelight.com/c-program-print-binary-tree/ const Trunk = struct { diff --git a/codes/zig/include/TreeNode.zig b/codes/zig/include/TreeNode.zig index 0c6bbf73e..7c1e2ad22 100644 --- a/codes/zig/include/TreeNode.zig +++ b/codes/zig/include/TreeNode.zig @@ -21,4 +21,40 @@ pub fn TreeNode(comptime T: type) type { self.right = null; } }; +} + +// Generate a binary tree with an array +pub fn arrToTree(comptime T: type, mem_allocator: std.mem.Allocator, list: []T) !?*TreeNode(T) { + if (list.len == 0) return null; + var root = try mem_allocator.create(TreeNode(T)); + root.init(list[0]); + + const TailQueue = std.TailQueue(?*TreeNode(T)); + const TailQueueNode = std.TailQueue(?*TreeNode(T)).Node; + var que = TailQueue{}; + var node_root = TailQueueNode{ .data = root }; + que.append(&node_root); + var index: usize = 0; + while (que.len > 0) { + var node = que.popFirst(); + index += 1; + if (index >= list.len) break; + if (index < list.len) { + var tmp = try mem_allocator.create(TreeNode(T)); + tmp.init(list[index]); + node.?.data.?.left = tmp; + var a = TailQueueNode{ .data = node.?.data.?.left }; + que.append(&a); + } + index += 1; + if (index >= list.len) break; + if (index < list.len) { + var tmp = try mem_allocator.create(TreeNode(T)); + tmp.init(list[index]); + node.?.data.?.right = tmp; + var a = TailQueueNode{ .data = node.?.data.?.right }; + que.append(&a); + } + } + return root; } \ No newline at end of file From 8ea7abb242398124d8b1932e9ae85f9c3590ccfa Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Sat, 14 Jan 2023 08:26:44 +0800 Subject: [PATCH 78/86] fix bug --- codes/zig/chapter_sorting/bubble_sort.zig | 2 +- codes/zig/chapter_sorting/insertion_sort.zig | 2 +- codes/zig/chapter_stack_and_queue/array_stack.zig | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/codes/zig/chapter_sorting/bubble_sort.zig b/codes/zig/chapter_sorting/bubble_sort.zig index 863190963..17cb0d973 100644 --- a/codes/zig/chapter_sorting/bubble_sort.zig +++ b/codes/zig/chapter_sorting/bubble_sort.zig @@ -1,4 +1,4 @@ -// File: time_complexity.zig +// File: bubble_sort.zig // Created Time: 2023-01-08 // Author: sjinzh (sjinzh@gmail.com) diff --git a/codes/zig/chapter_sorting/insertion_sort.zig b/codes/zig/chapter_sorting/insertion_sort.zig index 3c7594c24..5c9547911 100644 --- a/codes/zig/chapter_sorting/insertion_sort.zig +++ b/codes/zig/chapter_sorting/insertion_sort.zig @@ -1,4 +1,4 @@ -// File: time_complexity.zig +// File: insertion_sort.zig // Created Time: 2023-01-08 // Author: sjinzh (sjinzh@gmail.com) diff --git a/codes/zig/chapter_stack_and_queue/array_stack.zig b/codes/zig/chapter_stack_and_queue/array_stack.zig index 868d9d94d..36b1c7ca3 100644 --- a/codes/zig/chapter_stack_and_queue/array_stack.zig +++ b/codes/zig/chapter_stack_and_queue/array_stack.zig @@ -1,4 +1,4 @@ -// File: stack.zig +// File: array_stack.zig // Created Time: 2023-01-08 // Author: sjinzh (sjinzh@gmail.com) From e8f1a676b2829f1dd4ff87efab42c0d9125b3519 Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Sat, 14 Jan 2023 08:47:50 +0800 Subject: [PATCH 79/86] add zig codes for Section 'Binary Tree' --- codes/zig/build.zig | 14 ++++++++ codes/zig/chapter_tree/binary_tree.zig | 44 ++++++++++++++++++++++++++ 2 files changed, 58 insertions(+) create mode 100644 codes/zig/chapter_tree/binary_tree.zig diff --git a/codes/zig/build.zig b/codes/zig/build.zig index 5a97289d2..f66c559df 100644 --- a/codes/zig/build.zig +++ b/codes/zig/build.zig @@ -174,6 +174,20 @@ pub fn build(b: *std.build.Builder) void { const run_step_hash_map= b.step("run_hash_map", "Run hash_map"); run_step_hash_map.dependOn(&run_cmd_hash_map.step); + // Section: "Binary Tree" + // Source File: "chapter_tree/binary_tree.zig" + // Run Command: zig build run_binary_tree + const exe_binary_tree = b.addExecutable("hash_map", "chapter_tree/binary_tree.zig"); + exe_binary_tree.addPackagePath("include", "include/include.zig"); + exe_binary_tree.setTarget(target); + exe_binary_tree.setBuildMode(mode); + exe_binary_tree.install(); + const run_cmd_binary_tree = exe_binary_tree.run(); + run_cmd_binary_tree.step.dependOn(b.getInstallStep()); + if (b.args) |args| run_cmd_binary_tree.addArgs(args); + const run_step_binary_tree= b.step("run_binary_tree", "Run binary_tree"); + run_step_binary_tree.dependOn(&run_cmd_binary_tree.step); + // Section: "Heap" // Source File: "chapter_heap/heap.zig" // Run Command: zig build run_heap diff --git a/codes/zig/chapter_tree/binary_tree.zig b/codes/zig/chapter_tree/binary_tree.zig new file mode 100644 index 000000000..22d47eea8 --- /dev/null +++ b/codes/zig/chapter_tree/binary_tree.zig @@ -0,0 +1,44 @@ +// File: binary_tree.zig +// Created Time: 2023-01-14 +// Author: sjinzh (sjinzh@gmail.com) + +const std = @import("std"); +const inc = @import("include"); + +// Driver Code +pub fn main() !void { + // 查看本地CPU架构和操作系统信息 + var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); + std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); + + // 初始化二叉树 + // 初始化结点 + var n1 = inc.TreeNode(i32){ .val = 1 }; + var n2 = inc.TreeNode(i32){ .val = 2 }; + var n3 = inc.TreeNode(i32){ .val = 3 }; + var n4 = inc.TreeNode(i32){ .val = 4 }; + var n5 = inc.TreeNode(i32){ .val = 5 }; + // 构建引用指向(即指针) + n1.left = &n2; + n1.right = &n3; + n2.left = &n4; + n2.right = &n5; + std.debug.print("初始化二叉树\n", .{}); + try inc.PrintUtil.printTree(&n1, null, false); + + // 插入与删除结点 + var p = inc.TreeNode(i32){ .val = 0 }; + // 在 n1 -> n2 中间插入结点 P + n1.left = &p; + p.left = &n2; + std.debug.print("插入结点 P 后\n", .{}); + try inc.PrintUtil.printTree(&n1, null, false); + // 删除结点 + n1.left = &n2; + std.debug.print("删除结点 P 后\n", .{}); + try inc.PrintUtil.printTree(&n1, null, false); + + const getchar = try std.io.getStdIn().reader().readByte(); + _ = getchar; +} + From de2c9c352db440db84dd866cc9191de69efbbd72 Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Sat, 14 Jan 2023 08:48:12 +0800 Subject: [PATCH 80/86] add zig codes for Section 'Binary Tree' --- codes/zig/chapter_tree/binary_tree.zig | 4 ---- 1 file changed, 4 deletions(-) diff --git a/codes/zig/chapter_tree/binary_tree.zig b/codes/zig/chapter_tree/binary_tree.zig index 22d47eea8..b2cb9a960 100644 --- a/codes/zig/chapter_tree/binary_tree.zig +++ b/codes/zig/chapter_tree/binary_tree.zig @@ -7,10 +7,6 @@ const inc = @import("include"); // Driver Code pub fn main() !void { - // 查看本地CPU架构和操作系统信息 - var native_target_info = try std.zig.system.NativeTargetInfo.detect(std.zig.CrossTarget{}); - std.debug.print("Native Info: CPU Arch = {}, OS = {}\n", .{native_target_info.target.cpu.arch, native_target_info.target.os.tag}); - // 初始化二叉树 // 初始化结点 var n1 = inc.TreeNode(i32){ .val = 1 }; From 007fbff65fa7306e6e22cb0b1a21633406bbfed7 Mon Sep 17 00:00:00 2001 From: nuomi1 Date: Sat, 14 Jan 2023 10:17:22 +0800 Subject: [PATCH 81/86] docs: add comments of the complexity to queue and deque --- codes/swift/chapter_stack_and_queue/deque.swift | 1 + codes/swift/chapter_stack_and_queue/queue.swift | 1 + docs/chapter_stack_and_queue/deque.md | 1 + docs/chapter_stack_and_queue/queue.md | 1 + 4 files changed, 4 insertions(+) diff --git a/codes/swift/chapter_stack_and_queue/deque.swift b/codes/swift/chapter_stack_and_queue/deque.swift index 205da4055..6638eacb3 100644 --- a/codes/swift/chapter_stack_and_queue/deque.swift +++ b/codes/swift/chapter_stack_and_queue/deque.swift @@ -27,6 +27,7 @@ enum Deque { print("队尾元素 peekLast = \(peekLast)") /* 元素出队 */ + // 使用 Array 模拟时 pollFirst 的复杂度为 O(n) let pollFirst = deque.removeFirst() print("队首出队元素 pollFirst = \(pollFirst),队首出队后 deque = \(deque)") let pollLast = deque.removeLast() diff --git a/codes/swift/chapter_stack_and_queue/queue.swift b/codes/swift/chapter_stack_and_queue/queue.swift index f13af36f5..ea1e94722 100644 --- a/codes/swift/chapter_stack_and_queue/queue.swift +++ b/codes/swift/chapter_stack_and_queue/queue.swift @@ -25,6 +25,7 @@ enum Queue { print("队首元素 peek = \(peek)") /* 元素出队 */ + // 使用 Array 模拟时 poll 的复杂度为 O(n) let pool = queue.removeFirst() print("出队元素 poll = \(pool),出队后 queue = \(queue)") diff --git a/docs/chapter_stack_and_queue/deque.md b/docs/chapter_stack_and_queue/deque.md index e4674d5f1..b8d4df9ad 100644 --- a/docs/chapter_stack_and_queue/deque.md +++ b/docs/chapter_stack_and_queue/deque.md @@ -212,6 +212,7 @@ comments: true let peekLast = deque.last! // 队尾元素 /* 元素出队 */ + // 使用 Array 模拟时 pollFirst 的复杂度为 O(n) let pollFirst = deque.removeFirst() // 队首元素出队 let pollLast = deque.removeLast() // 队尾元素出队 diff --git a/docs/chapter_stack_and_queue/queue.md b/docs/chapter_stack_and_queue/queue.md index d70b3e528..aaba7da43 100644 --- a/docs/chapter_stack_and_queue/queue.md +++ b/docs/chapter_stack_and_queue/queue.md @@ -246,6 +246,7 @@ comments: true let peek = queue.first! /* 元素出队 */ + // 使用 Array 模拟时 poll 的复杂度为 O(n) let pool = queue.removeFirst() /* 获取队列的长度 */ From 3782296de3b6d48f47c8b6f14859939e9311af63 Mon Sep 17 00:00:00 2001 From: sjinzh <99076655+sjinzh@users.noreply.github.com> Date: Sat, 14 Jan 2023 18:03:32 +0800 Subject: [PATCH 82/86] add zig codes for Section 'Hash Map', 'Binary Tree', 'Linear Search' --- codes/zig/build.zig | 14 ------ codes/zig/chapter_heap/heap.zig | 85 --------------------------------- 2 files changed, 99 deletions(-) delete mode 100644 codes/zig/chapter_heap/heap.zig diff --git a/codes/zig/build.zig b/codes/zig/build.zig index f66c559df..4299c60f2 100644 --- a/codes/zig/build.zig +++ b/codes/zig/build.zig @@ -188,20 +188,6 @@ pub fn build(b: *std.build.Builder) void { const run_step_binary_tree= b.step("run_binary_tree", "Run binary_tree"); run_step_binary_tree.dependOn(&run_cmd_binary_tree.step); - // Section: "Heap" - // Source File: "chapter_heap/heap.zig" - // Run Command: zig build run_heap - const exe_heap = b.addExecutable("heap", "chapter_heap/heap.zig"); - exe_heap.addPackagePath("include", "include/include.zig"); - exe_heap.setTarget(target); - exe_heap.setBuildMode(mode); - exe_heap.install(); - const run_cmd_heap = exe_heap.run(); - run_cmd_heap.step.dependOn(b.getInstallStep()); - if (b.args) |args| run_cmd_heap.addArgs(args); - const run_step_heap = b.step("run_heap", "Run heap"); - run_step_heap.dependOn(&run_cmd_heap.step); - // Section: "Linear Search" // Source File: "chapter_searching/linear_search.zig" // Run Command: zig build run_linear_search diff --git a/codes/zig/chapter_heap/heap.zig b/codes/zig/chapter_heap/heap.zig deleted file mode 100644 index 02e4ce8f1..000000000 --- a/codes/zig/chapter_heap/heap.zig +++ /dev/null @@ -1,85 +0,0 @@ -// File: heap.zig -// Created Time: 2023-01-14 -// Author: sjinzh (sjinzh@gmail.com) - -const std = @import("std"); -const inc = @import("include"); - -fn lessThan(context: void, a: i32, b: i32) std.math.Order { - _ = context; - return std.math.order(a, b); -} - -fn greaterThan(context: void, a: i32, b: i32) std.math.Order { - return lessThan(context, a, b).invert(); -} - -fn testPush(comptime T: type, mem_allocator: std.mem.Allocator, heap_push: anytype, val: T) !void { - var heap = heap_push; - try heap.add(val); //元素入堆 - std.debug.print("\n元素 {} 入堆后\n", .{val}); - try inc.PrintUtil.printHeap(T, mem_allocator, heap); -} - -fn testPop(comptime T: type, mem_allocator: std.mem.Allocator, heap_pop: anytype) !void { - var val = heap_pop.remove(); //堆顶元素出堆 - std.debug.print("\n堆顶元素 {} 出堆后\n", .{val}); - try inc.PrintUtil.printHeap(T, mem_allocator, heap_pop); -} - -// Driver Code -pub fn main() !void { - // 初始化内存分配器 - var mem_arena = std.heap.ArenaAllocator.init(std.heap.page_allocator); - // 延迟释放内存 - defer mem_arena.deinit(); - const mem_allocator = mem_arena.allocator(); - - // 初始化堆 - // 初始化小顶堆 - const PQlt = std.PriorityQueue(i32, void, lessThan); - var minHeap = PQlt.init(std.heap.page_allocator, {}); - defer minHeap.deinit(); - // 初始化大顶堆 - const PQgt = std.PriorityQueue(i32, void, greaterThan); - var maxHeap = PQgt.init(std.heap.page_allocator, {}); - defer maxHeap.deinit(); - - std.debug.print("\n以下测试样例为大顶堆", .{}); - - // 元素入堆 - try testPush(i32, mem_allocator, &maxHeap, 1); - try testPush(i32, mem_allocator, &maxHeap, 3); - try testPush(i32, mem_allocator, &maxHeap, 2); - try testPush(i32, mem_allocator, &maxHeap, 5); - try testPush(i32, mem_allocator, &maxHeap, 4); - - // 获取堆顶元素 - var peek = maxHeap.peek().?; - std.debug.print("\n堆顶元素为 {}\n", .{peek}); - - // 堆顶元素出堆 - try testPop(i32, mem_allocator, &maxHeap); - try testPop(i32, mem_allocator, &maxHeap); - try testPop(i32, mem_allocator, &maxHeap); - try testPop(i32, mem_allocator, &maxHeap); - try testPop(i32, mem_allocator, &maxHeap); - - // 获取堆的大小 - var size = maxHeap.len; - std.debug.print("\n堆元素数量为 {}", .{size}); - - // 判断堆是否为空 - var isEmpty = if (maxHeap.len == 0) true else false; - std.debug.print("\n堆是否为空 {}\n", .{isEmpty}); - - // 输入列表并建堆 - // 时间复杂度为 O(n) ,而非 O(nlogn) - try minHeap.addSlice(&[_]i32{ 1, 3, 2, 5, 4 }); - std.debug.print("\n输入列表并建立小顶堆后\n", .{}); - try inc.PrintUtil.printHeap(i32, mem_allocator, minHeap); - - const getchar = try std.io.getStdIn().reader().readByte(); - _ = getchar; -} - From bb657f95179e9d577e65035332200e5826838d6f Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Sat, 14 Jan 2023 19:52:11 +0800 Subject: [PATCH 83/86] Add destructors to the C++ codes. --- .../cpp/chapter_array_and_linkedlist/array.cpp | 11 +++++++---- .../linked_list.cpp | 3 +++ .../chapter_array_and_linkedlist/my_list.cpp | 18 +++++++++++++----- .../leetcode_two_sum.cpp | 4 ++++ .../space_complexity.cpp | 9 ++++++--- .../chapter_stack_and_queue/array_queue.cpp | 7 +++++++ .../chapter_stack_and_queue/array_stack.cpp | 3 +++ .../linkedlist_queue.cpp | 8 ++++++++ .../linkedlist_stack.cpp | 7 +++++++ codes/cpp/chapter_tree/binary_search_tree.cpp | 7 +++++++ codes/cpp/chapter_tree/binary_tree.cpp | 3 +++ codes/cpp/include/ListNode.hpp | 15 +++++++++++++++ codes/cpp/include/TreeNode.hpp | 13 +++++++++++++ docs/chapter_array_and_linkedlist/array.md | 2 ++ docs/chapter_array_and_linkedlist/list.md | 15 ++++++++++----- .../space_complexity.md | 6 +++--- docs/chapter_stack_and_queue/queue.md | 7 +++++++ docs/chapter_stack_and_queue/stack.md | 3 +++ docs/chapter_tree/binary_search_tree.md | 4 ---- 19 files changed, 121 insertions(+), 24 deletions(-) diff --git a/codes/cpp/chapter_array_and_linkedlist/array.cpp b/codes/cpp/chapter_array_and_linkedlist/array.cpp index 6cf4919be..149a1ca24 100644 --- a/codes/cpp/chapter_array_and_linkedlist/array.cpp +++ b/codes/cpp/chapter_array_and_linkedlist/array.cpp @@ -23,6 +23,8 @@ int* extend(int* nums, int size, int enlarge) { for (int i = 0; i < size; i++) { res[i] = nums[i]; } + // 释放内存 + delete[] nums; // 返回扩展后的新数组 return res; } @@ -82,10 +84,7 @@ int main() { /* 长度扩展 */ int enlarge = 3; - int* res = extend(nums, size, enlarge); - int* temp = nums; - nums = res; - delete[] temp; + nums = extend(nums, size, enlarge); size += enlarge; cout << "将数组长度扩展至 8 ,得到 nums = "; PrintUtil::printArray(nums, size); @@ -107,5 +106,9 @@ int main() { int index = find(nums, size, 3); cout << "在 nums 中查找元素 3 ,得到索引 = " << index << endl; + // 释放内存 + delete[] arr; + delete[] nums; + return 0; } diff --git a/codes/cpp/chapter_array_and_linkedlist/linked_list.cpp b/codes/cpp/chapter_array_and_linkedlist/linked_list.cpp index 5e976a89a..3e457891c 100644 --- a/codes/cpp/chapter_array_and_linkedlist/linked_list.cpp +++ b/codes/cpp/chapter_array_and_linkedlist/linked_list.cpp @@ -83,5 +83,8 @@ int main() { int index = find(n0, 2); cout << "链表中值为 2 的结点的索引 = " << index << endl; + // 释放内存 + freeMemoryLinkedList(n0); + return 0; } diff --git a/codes/cpp/chapter_array_and_linkedlist/my_list.cpp b/codes/cpp/chapter_array_and_linkedlist/my_list.cpp index 0b550475e..7349e6f10 100644 --- a/codes/cpp/chapter_array_and_linkedlist/my_list.cpp +++ b/codes/cpp/chapter_array_and_linkedlist/my_list.cpp @@ -20,6 +20,11 @@ public: nums = new int[numsCapacity]; } + /* 析构函数 */ + ~MyList() { + delete[] nums; + } + /* 获取列表长度(即当前元素数量)*/ int size() { return numsSize; @@ -90,14 +95,14 @@ public: void extendCapacity() { // 新建一个长度为 size * extendRatio 的数组,并将原数组拷贝到新数组 int newCapacity = capacity() * extendRatio; - int* extend = new int[newCapacity]; + int* tmp = nums; + nums = new int[newCapacity]; // 将原数组中的所有元素复制到新数组 for (int i = 0; i < size(); i++) { - extend[i] = nums[i]; + nums[i] = tmp[i]; } - int* temp = nums; - nums = extend; - delete[] temp; + // 释放内存 + delete[] tmp; numsCapacity = newCapacity; } @@ -160,5 +165,8 @@ int main() { PrintUtil::printVector(vec); cout << "容量 = " << list->capacity() << " ,长度 = " << list->size() << endl; + // 释放内存 + delete list; + return 0; } diff --git a/codes/cpp/chapter_computational_complexity/leetcode_two_sum.cpp b/codes/cpp/chapter_computational_complexity/leetcode_two_sum.cpp index dd561d544..f68f242b9 100644 --- a/codes/cpp/chapter_computational_complexity/leetcode_two_sum.cpp +++ b/codes/cpp/chapter_computational_complexity/leetcode_two_sum.cpp @@ -56,5 +56,9 @@ int main() { cout << "方法二 res = "; PrintUtil::printVector(res); + // 释放内存 + delete slt1; + delete slt2; + return 0; } diff --git a/codes/cpp/chapter_computational_complexity/space_complexity.cpp b/codes/cpp/chapter_computational_complexity/space_complexity.cpp index 6352b9d47..4a0e79ec1 100644 --- a/codes/cpp/chapter_computational_complexity/space_complexity.cpp +++ b/codes/cpp/chapter_computational_complexity/space_complexity.cpp @@ -18,7 +18,7 @@ void constant(int n) { const int a = 0; int b = 0; vector nums(10000); - ListNode* node = new ListNode(0); + ListNode node(0); // 循环中的变量占用 O(1) 空间 for (int i = 0; i < n; i++) { int c = 0; @@ -34,9 +34,9 @@ void linear(int n) { // 长度为 n 的数组占用 O(n) 空间 vector nums(n); // 长度为 n 的列表占用 O(n) 空间 - vector nodes; + vector nodes; for (int i = 0; i < n; i++) { - nodes.push_back(new ListNode(i)); + nodes.push_back(ListNode(i)); } // 长度为 n 的哈希表占用 O(n) 空间 unordered_map map; @@ -98,5 +98,8 @@ int main() { TreeNode* root = buildTree(n); PrintUtil::printTree(root); + // 释放内存 + freeMemoryTree(root); + return 0; } diff --git a/codes/cpp/chapter_stack_and_queue/array_queue.cpp b/codes/cpp/chapter_stack_and_queue/array_queue.cpp index de5e780f6..56b086e7d 100644 --- a/codes/cpp/chapter_stack_and_queue/array_queue.cpp +++ b/codes/cpp/chapter_stack_and_queue/array_queue.cpp @@ -21,6 +21,10 @@ public: nums = new int[capacity]; } + ~ArrayQueue() { + delete[] nums; + } + /* 获取队列的容量 */ int capacity() { return cap; @@ -117,5 +121,8 @@ int main() { PrintUtil::printVector(queue->toVector()); } + // 释放内存 + delete queue; + return 0; } diff --git a/codes/cpp/chapter_stack_and_queue/array_stack.cpp b/codes/cpp/chapter_stack_and_queue/array_stack.cpp index e6159e8cf..7f705d7e4 100644 --- a/codes/cpp/chapter_stack_and_queue/array_stack.cpp +++ b/codes/cpp/chapter_stack_and_queue/array_stack.cpp @@ -78,5 +78,8 @@ int main() { bool empty = stack->empty(); cout << "栈是否为空 = " << empty << endl; + // 释放内存 + delete stack; + return 0; } diff --git a/codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp b/codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp index ae22740d6..6c830ff8e 100644 --- a/codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp +++ b/codes/cpp/chapter_stack_and_queue/linkedlist_queue.cpp @@ -19,6 +19,11 @@ public: queSize = 0; } + ~LinkedListQueue() { + delete front; + delete rear; + } + /* 获取队列的长度 */ int size() { return queSize; @@ -108,5 +113,8 @@ int main() { bool empty = queue->empty(); cout << "队列是否为空 = " << empty << endl; + // 释放内存 + delete queue; + return 0; } diff --git a/codes/cpp/chapter_stack_and_queue/linkedlist_stack.cpp b/codes/cpp/chapter_stack_and_queue/linkedlist_stack.cpp index 495f2660f..7b25a9e45 100644 --- a/codes/cpp/chapter_stack_and_queue/linkedlist_stack.cpp +++ b/codes/cpp/chapter_stack_and_queue/linkedlist_stack.cpp @@ -18,6 +18,10 @@ public: stkSize = 0; } + ~LinkedListStack() { + freeMemoryLinkedList(stackTop); + } + /* 获取栈的长度 */ int size() { return stkSize; @@ -97,5 +101,8 @@ int main() { bool empty = stack->empty(); cout << "栈是否为空 = " << empty << endl; + // 释放内存 + delete stack; + return 0; } diff --git a/codes/cpp/chapter_tree/binary_search_tree.cpp b/codes/cpp/chapter_tree/binary_search_tree.cpp index 006d7d308..fbbed9e92 100644 --- a/codes/cpp/chapter_tree/binary_search_tree.cpp +++ b/codes/cpp/chapter_tree/binary_search_tree.cpp @@ -17,6 +17,10 @@ public: root = buildTree(nums, 0, nums.size() - 1); // 构建二叉搜索树 } + ~BinarySearchTree() { + freeMemoryTree(root); + } + /* 获取二叉树根结点 */ TreeNode* getRoot() { return root; @@ -152,5 +156,8 @@ int main() { cout << endl << "删除结点 4 后,二叉树为\n" << endl; PrintUtil::printTree(bst->getRoot()); + // 释放内存 + delete bst; + return 0; } diff --git a/codes/cpp/chapter_tree/binary_tree.cpp b/codes/cpp/chapter_tree/binary_tree.cpp index cd06778ad..f6a0a5d83 100644 --- a/codes/cpp/chapter_tree/binary_tree.cpp +++ b/codes/cpp/chapter_tree/binary_tree.cpp @@ -37,5 +37,8 @@ int main() { cout << endl << "删除结点 P 后\n" << endl; PrintUtil::printTree(n1); + // 释放内存 + freeMemoryTree(n1); + return 0; } diff --git a/codes/cpp/include/ListNode.hpp b/codes/cpp/include/ListNode.hpp index 9e6bd0692..7b1eb4134 100644 --- a/codes/cpp/include/ListNode.hpp +++ b/codes/cpp/include/ListNode.hpp @@ -48,3 +48,18 @@ ListNode* getListNode(ListNode *head, int val) { } return head; } + +/** + * @brief Free the memory allocated to a linked list + * + * @param cur + */ +void freeMemoryLinkedList(ListNode *cur) { + // 释放内存 + ListNode *pre; + while (cur != nullptr) { + pre = cur; + cur = cur->next; + delete pre; + } +} diff --git a/codes/cpp/include/TreeNode.hpp b/codes/cpp/include/TreeNode.hpp index 82f2ce981..505c40695 100644 --- a/codes/cpp/include/TreeNode.hpp +++ b/codes/cpp/include/TreeNode.hpp @@ -68,3 +68,16 @@ TreeNode *getTreeNode(TreeNode *root, int val) { TreeNode *right = getTreeNode(root->right, val); return left != nullptr ? left : right; } + +/** + * @brief Free the memory allocated to a tree + * + * @param root + */ +void freeMemoryTree(TreeNode *root) { + if (root == nullptr) return; + freeMemoryTree(root->left); + freeMemoryTree(root->right); + // 释放内存 + delete root; +} diff --git a/docs/chapter_array_and_linkedlist/array.md b/docs/chapter_array_and_linkedlist/array.md index 2251362d0..fcbdf9ab2 100644 --- a/docs/chapter_array_and_linkedlist/array.md +++ b/docs/chapter_array_and_linkedlist/array.md @@ -245,6 +245,8 @@ elementAddr = firtstElementAddr + elementLength * elementIndex for (int i = 0; i < size; i++) { res[i] = nums[i]; } + // 释放内存 + delete[] nums; // 返回扩展后的新数组 return res; } diff --git a/docs/chapter_array_and_linkedlist/list.md b/docs/chapter_array_and_linkedlist/list.md index 1a47a0d13..e57d49875 100644 --- a/docs/chapter_array_and_linkedlist/list.md +++ b/docs/chapter_array_and_linkedlist/list.md @@ -748,6 +748,11 @@ comments: true nums = new int[numsCapacity]; } + /* 析构函数 */ + ~MyList() { + delete[] nums; + } + /* 获取列表长度(即当前元素数量)*/ int size() { return numsSize; @@ -818,14 +823,14 @@ comments: true void extendCapacity() { // 新建一个长度为 size * extendRatio 的数组,并将原数组拷贝到新数组 int newCapacity = capacity() * extendRatio; - int* extend = new int[newCapacity]; + int* tmp = nums; + nums = new int[newCapacity]; // 将原数组中的所有元素复制到新数组 for (int i = 0; i < size(); i++) { - extend[i] = nums[i]; + nums[i] = tmp[i]; } - int* temp = nums; - nums = extend; - delete[] temp; + // 释放内存 + delete[] tmp; numsCapacity = newCapacity; } }; diff --git a/docs/chapter_computational_complexity/space_complexity.md b/docs/chapter_computational_complexity/space_complexity.md index e594bec8d..96873fc12 100644 --- a/docs/chapter_computational_complexity/space_complexity.md +++ b/docs/chapter_computational_complexity/space_complexity.md @@ -507,7 +507,7 @@ $$ const int a = 0; int b = 0; vector nums(10000); - ListNode* node = new ListNode(0); + ListNode node(0); // 循环中的变量占用 O(1) 空间 for (int i = 0; i < n; i++) { int c = 0; @@ -654,9 +654,9 @@ $$ // 长度为 n 的数组占用 O(n) 空间 vector nums(n); // 长度为 n 的列表占用 O(n) 空间 - vector nodes; + vector nodes; for (int i = 0; i < n; i++) { - nodes.push_back(new ListNode(i)); + nodes.push_back(ListNode(i)); } // 长度为 n 的哈希表占用 O(n) 空间 unordered_map map; diff --git a/docs/chapter_stack_and_queue/queue.md b/docs/chapter_stack_and_queue/queue.md index d70b3e528..51165331a 100644 --- a/docs/chapter_stack_and_queue/queue.md +++ b/docs/chapter_stack_and_queue/queue.md @@ -330,6 +330,10 @@ comments: true rear = nullptr; queSize = 0; } + ~LinkedListQueue() { + delete front; + delete rear; + } /* 获取队列的长度 */ int size() { return queSize; @@ -784,6 +788,9 @@ comments: true cap = capacity; nums = new int[capacity]; } + ~ArrayQueue() { + delete[] nums; + } /* 获取队列的容量 */ int capacity() { return cap; diff --git a/docs/chapter_stack_and_queue/stack.md b/docs/chapter_stack_and_queue/stack.md index c47f7cc82..66b461875 100644 --- a/docs/chapter_stack_and_queue/stack.md +++ b/docs/chapter_stack_and_queue/stack.md @@ -324,6 +324,9 @@ comments: true stackTop = nullptr; stkSize = 0; } + ~LinkedListStack() { + freeMemoryLinkedList(stackTop); + } /* 获取栈的长度 */ int size() { return stkSize; diff --git a/docs/chapter_tree/binary_search_tree.md b/docs/chapter_tree/binary_search_tree.md index a0322154e..ca8a92021 100644 --- a/docs/chapter_tree/binary_search_tree.md +++ b/docs/chapter_tree/binary_search_tree.md @@ -22,19 +22,15 @@ comments: true - 若 `cur.val = num` ,说明找到目标结点,跳出循环并返回该结点即可; === "Step 1" - ![bst_search_1](binary_search_tree.assets/bst_search_1.png) === "Step 2" - ![bst_search_2](binary_search_tree.assets/bst_search_2.png) === "Step 3" - ![bst_search_3](binary_search_tree.assets/bst_search_3.png) === "Step 4" - ![bst_search_4](binary_search_tree.assets/bst_search_4.png) 二叉搜索树的查找操作和二分查找算法如出一辙,也是在每轮排除一半情况。循环次数最多为二叉树的高度,当二叉树平衡时,使用 $O(\log n)$ 时间。 From c5f27265acf0729b16a5bb169f815f63a068f704 Mon Sep 17 00:00:00 2001 From: Yudong Jin Date: Sat, 14 Jan 2023 21:18:56 +0800 Subject: [PATCH 84/86] Optimize the size of GIF files. --- docs/index.assets/animation.gif | Bin 130458 -> 98410 bytes 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TypeScript code style (Chapter of Sorting) --- .../javascript/chapter_sorting/bubble_sort.js | 20 ++-- .../chapter_sorting/insertion_sort.js | 6 +- .../javascript/chapter_sorting/merge_sort.js | 12 +- .../javascript/chapter_sorting/quick_sort.js | 103 ++++++++---------- .../typescript/chapter_sorting/merge_sort.ts | 4 +- docs/chapter_sorting/quick_sort.md | 36 +++--- 6 files changed, 87 insertions(+), 94 deletions(-) diff --git a/codes/javascript/chapter_sorting/bubble_sort.js b/codes/javascript/chapter_sorting/bubble_sort.js index 3d3c6a83b..6ddb0a17b 100644 --- a/codes/javascript/chapter_sorting/bubble_sort.js +++ b/codes/javascript/chapter_sorting/bubble_sort.js @@ -11,10 +11,10 @@ function bubbleSort(nums) { // 内循环:冒泡操作 for (let j = 0; j < i; j++) { if (nums[j] > nums[j + 1]) { - // 交换 nums[j] 与 nums[j + 1] - let tmp = nums[j]; - nums[j] = nums[j + 1]; - nums[j + 1] = tmp; + // 交换 nums[j] 与 nums[j + 1] + let tmp = nums[j]; + nums[j] = nums[j + 1]; + nums[j + 1] = tmp; } } } @@ -40,10 +40,10 @@ function bubbleSortWithFlag(nums) { } /* Driver Code */ -var nums = [4, 1, 3, 1, 5, 2] -bubbleSort(nums) -console.log("排序后数组 nums =", nums) +const nums = [4, 1, 3, 1, 5, 2]; +bubbleSort(nums); +console.log("排序后数组 nums =", nums); -var nums1 = [4, 1, 3, 1, 5, 2] -bubbleSortWithFlag(nums1) -console.log("排序后数组 nums =", nums1) +const nums1 = [4, 1, 3, 1, 5, 2]; +bubbleSortWithFlag(nums1); +console.log("排序后数组 nums =", nums1); diff --git a/codes/javascript/chapter_sorting/insertion_sort.js b/codes/javascript/chapter_sorting/insertion_sort.js index 02c45a237..66264d234 100644 --- a/codes/javascript/chapter_sorting/insertion_sort.js +++ b/codes/javascript/chapter_sorting/insertion_sort.js @@ -19,6 +19,6 @@ function insertionSort(nums) { } /* Driver Code */ -var nums = [4, 1, 3, 1, 5, 2] -insertionSort(nums) -console.log("排序后数组 nums =", nums) +const nums = [4, 1, 3, 1, 5, 2]; +insertionSort(nums); +console.log('排序后数组 nums =', nums); diff --git a/codes/javascript/chapter_sorting/merge_sort.js b/codes/javascript/chapter_sorting/merge_sort.js index b00c17bcd..4e2449af2 100644 --- a/codes/javascript/chapter_sorting/merge_sort.js +++ b/codes/javascript/chapter_sorting/merge_sort.js @@ -5,10 +5,10 @@ */ /** -* 合并左子数组和右子数组 -* 左子数组区间 [left, mid] -* 右子数组区间 [mid + 1, right] -*/ + * 合并左子数组和右子数组 + * 左子数组区间 [left, mid] + * 右子数组区间 [mid + 1, right] + */ function merge(nums, left, mid, right) { // 初始化辅助数组 let tmp = nums.slice(left, right + 1); @@ -46,6 +46,6 @@ function mergeSort(nums, left, right) { } /* Driver Code */ -var nums = [ 7, 3, 2, 6, 0, 1, 5, 4 ] +const nums = [ 7, 3, 2, 6, 0, 1, 5, 4 ] mergeSort(nums, 0, nums.length - 1) -console.log("归并排序完成后 nums =", nums) +console.log('归并排序完成后 nums =', nums) diff --git a/codes/javascript/chapter_sorting/quick_sort.js b/codes/javascript/chapter_sorting/quick_sort.js index 405bf7621..47ac100fd 100644 --- a/codes/javascript/chapter_sorting/quick_sort.js +++ b/codes/javascript/chapter_sorting/quick_sort.js @@ -8,38 +8,38 @@ class QuickSort { /* 元素交换 */ swap(nums, i, j) { - let tmp = nums[i] - nums[i] = nums[j] - nums[j] = tmp + let tmp = nums[i]; + nums[i] = nums[j]; + nums[j] = tmp; } /* 哨兵划分 */ - partition(nums, left, right){ + partition(nums, left, right) { // 以 nums[left] 作为基准数 - let i = left, j = right - while(i < j){ - while(i < j && nums[j] >= nums[left]){ - j -= 1 // 从右向左找首个小于基准数的元素 + let i = left, j = right; + while (i < j) { + while (i < j && nums[j] >= nums[left]) { + j -= 1; // 从右向左找首个小于基准数的元素 } - while(i < j && nums[i] <= nums[left]){ - i += 1 // 从左向右找首个大于基准数的元素 + while (i < j && nums[i] <= nums[left]) { + i += 1; // 从左向右找首个大于基准数的元素 } // 元素交换 - this.swap(nums, i, j) // 交换这两个元素 + this.swap(nums, i, j); // 交换这两个元素 } - this.swap(nums, i, left) // 将基准数交换至两子数组的分界线 - return i // 返回基准数的索引 + this.swap(nums, i, left); // 将基准数交换至两子数组的分界线 + return i; // 返回基准数的索引 } /* 快速排序 */ - quickSort(nums, left, right){ + quickSort(nums, left, right) { // 子数组长度为 1 时终止递归 - if(left >= right) return + if (left >= right) return; // 哨兵划分 - const pivot = this.partition(nums, left, right) + const pivot = this.partition(nums, left, right); // 递归左子数组、右子数组 - this.quickSort(nums, left, pivot - 1) - this.quickSort(nums, pivot + 1, right) + this.quickSort(nums, left, pivot - 1); + this.quickSort(nums, pivot + 1, right); } } @@ -47,21 +47,18 @@ class QuickSort { class QuickSortMedian { /* 元素交换 */ swap(nums, i, j) { - let tmp = nums[i] - nums[i] = nums[j] - nums[j] = tmp + let tmp = nums[i]; + nums[i] = nums[j]; + nums[j] = tmp; } /* 选取三个元素的中位数 */ medianThree(nums, left, mid, right) { // 使用了异或操作来简化代码 // 异或规则为 0 ^ 0 = 1 ^ 1 = 0, 0 ^ 1 = 1 ^ 0 = 1 - if ((nums[left] > nums[mid]) ^ (nums[left] > nums[right])) - return left; - else if ((nums[mid] < nums[left]) ^ (nums[mid] < nums[right])) - return mid; - else - return right; + if ((nums[left] > nums[mid]) ^ (nums[left] > nums[right])) return left; + else if ((nums[mid] < nums[left]) ^ (nums[mid] < nums[right])) return mid; + else return right; } /* 哨兵划分(三数取中值) */ @@ -73,14 +70,12 @@ class QuickSortMedian { // 以 nums[left] 作为基准数 let i = left, j = right; while (i < j) { - while (i < j && nums[j] >= nums[left]) - j--; // 从右向左找首个小于基准数的元素 - while (i < j && nums[i] <= nums[left]) - i++; // 从左向右找首个大于基准数的元素 + while (i < j && nums[j] >= nums[left]) j--; // 从右向左找首个小于基准数的元素 + while (i < j && nums[i] <= nums[left]) i++; // 从左向右找首个大于基准数的元素 this.swap(nums, i, j); // 交换这两个元素 } - this.swap(nums, i, left); // 将基准数交换至两子数组的分界线 - return i; // 返回基准数的索引 + this.swap(nums, i, left); // 将基准数交换至两子数组的分界线 + return i; // 返回基准数的索引 } /* 快速排序 */ @@ -99,9 +94,9 @@ class QuickSortMedian { class QuickSortTailCall { /* 元素交换 */ swap(nums, i, j) { - let tmp = nums[i] - nums[i] = nums[j] - nums[j] = tmp + let tmp = nums[i]; + nums[i] = nums[j]; + nums[j] = tmp; } /* 哨兵划分 */ @@ -109,13 +104,11 @@ class QuickSortTailCall { // 以 nums[left] 作为基准数 let i = left, j = right; while (i < j) { - while (i < j && nums[j] >= nums[left]) - j--; // 从右向左找首个小于基准数的元素 - while (i < j && nums[i] <= nums[left]) - i++; // 从左向右找首个大于基准数的元素 + while (i < j && nums[j] >= nums[left]) j--; // 从右向左找首个小于基准数的元素 + while (i < j && nums[i] <= nums[left]) i++; // 从左向右找首个大于基准数的元素 this.swap(nums, i, j); // 交换这两个元素 } - this.swap(nums, i, left); // 将基准数交换至两子数组的分界线 + this.swap(nums, i, left); // 将基准数交换至两子数组的分界线 return i; // 返回基准数的索引 } @@ -127,8 +120,8 @@ class QuickSortTailCall { let pivot = this.partition(nums, left, right); // 对两个子数组中较短的那个执行快排 if (pivot - left < right - pivot) { - this.quickSort(nums, left, pivot - 1); // 递归排序左子数组 - left = pivot + 1; // 剩余待排序区间为 [pivot + 1, right] + this.quickSort(nums, left, pivot - 1); // 递归排序左子数组 + left = pivot + 1; // 剩余待排序区间为 [pivot + 1, right] } else { this.quickSort(nums, pivot + 1, right); // 递归排序右子数组 right = pivot - 1; // 剩余待排序区间为 [left, pivot - 1] @@ -139,19 +132,19 @@ class QuickSortTailCall { /* Driver Code */ /* 快速排序 */ -var nums = [4, 1, 3, 1, 5, 2] -var quickSort = new QuickSort() -quickSort.quickSort(nums, 0, nums.length - 1) -console.log("快速排序完成后 nums =", nums) +const nums = [4, 1, 3, 1, 5, 2]; +const quickSort = new QuickSort(); +quickSort.quickSort(nums, 0, nums.length - 1); +console.log('快速排序完成后 nums =', nums); /* 快速排序(中位基准数优化) */ -nums1 = [4, 1, 3, 1, 5,2] -var quickSortMedian = new QuickSort() -quickSortMedian.quickSort(nums1, 0, nums1.length - 1) -console.log("快速排序(中位基准数优化)完成后 nums =", nums1) +const nums1 = [4, 1, 3, 1, 5, 2]; +const quickSortMedian = new QuickSort(); +quickSortMedian.quickSort(nums1, 0, nums1.length - 1); +console.log('快速排序(中位基准数优化)完成后 nums =', nums1); /* 快速排序(尾递归优化) */ -nums2 = [4, 1, 3, 1, 5, 2] -var quickSortTailCall = new QuickSort() -quickSortTailCall.quickSort(nums2, 0, nums2.length - 1) -console.log("快速排序(尾递归优化)完成后 nums =", nums2) +const nums2 = [4, 1, 3, 1, 5, 2]; +const quickSortTailCall = new QuickSort(); +quickSortTailCall.quickSort(nums2, 0, nums2.length - 1); +console.log('快速排序(尾递归优化)完成后 nums =', nums2); diff --git a/codes/typescript/chapter_sorting/merge_sort.ts b/codes/typescript/chapter_sorting/merge_sort.ts index a4cb5e1cb..754502949 100644 --- a/codes/typescript/chapter_sorting/merge_sort.ts +++ b/codes/typescript/chapter_sorting/merge_sort.ts @@ -23,10 +23,10 @@ function merge(nums: number[], left: number, mid: number, right: number): void { // 若“左子数组已全部合并完”,则选取右子数组元素,并且 j++ if (i > leftEnd) { nums[k] = tmp[j++]; - // 否则,若“右子数组已全部合并完”或“左子数组元素 <= 右子数组元素”,则选取左子数组元素,并且 i++ + // 否则,若“右子数组已全部合并完”或“左子数组元素 <= 右子数组元素”,则选取左子数组元素,并且 i++ } else if (j > rightEnd || tmp[i] <= tmp[j]) { nums[k] = tmp[i++]; - // 否则,若“左右子数组都未全部合并完”且“左子数组元素 > 右子数组元素”,则选取右子数组元素,并且 j++ + // 否则,若“左右子数组都未全部合并完”且“左子数组元素 > 右子数组元素”,则选取右子数组元素,并且 j++ } else { nums[k] = tmp[j++]; } diff --git a/docs/chapter_sorting/quick_sort.md b/docs/chapter_sorting/quick_sort.md index a712a1bff..62ab2147f 100644 --- a/docs/chapter_sorting/quick_sort.md +++ b/docs/chapter_sorting/quick_sort.md @@ -134,27 +134,27 @@ comments: true ``` js title="quick_sort.js" /* 元素交换 */ function swap(nums, i, j) { - let tmp = nums[i] - nums[i] = nums[j] - nums[j] = tmp + let tmp = nums[i]; + nums[i] = nums[j]; + nums[j] = tmp; } /* 哨兵划分 */ - function partition(nums, left, right){ + function partition(nums, left, right) { // 以 nums[left] 作为基准数 - let i = left, j = right - while(i < j){ - while(i < j && nums[j] >= nums[left]){ - j -= 1 // 从右向左找首个小于基准数的元素 + let i = left, j = right; + while (i < j) { + while (i < j && nums[j] >= nums[left]) { + j -= 1; // 从右向左找首个小于基准数的元素 } - while(i < j && nums[i] <= nums[left]){ - i += 1 // 从左向右找首个大于基准数的元素 + while (i < j && nums[i] <= nums[left]) { + i += 1; // 从左向右找首个大于基准数的元素 } // 元素交换 - swap(nums, i, j) // 交换这两个元素 + swap(nums, i, j); // 交换这两个元素 } - swap(nums, i, left) // 将基准数交换至两子数组的分界线 - return i // 返回基准数的索引 + swap(nums, i, left); // 将基准数交换至两子数组的分界线 + return i; // 返回基准数的索引 } ``` @@ -313,14 +313,14 @@ comments: true ```js title="quick_sort.js" /* 快速排序 */ - function quickSort(nums, left, right){ + function quickSort(nums, left, right) { // 子数组长度为 1 时终止递归 - if(left >= right) return + if (left >= right) return; // 哨兵划分 - const pivot = partition(nums, left, right) + const pivot = partition(nums, left, right); // 递归左子数组、右子数组 - quick_sort(nums, left, pivot - 1) - quick_sort(nums, pivot + 1, right) + quickSort(nums, left, pivot - 1); + quickSort(nums, pivot + 1, right); } ```

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