1+ < html > < head > < meta charset ="utf-8 " /> < link rel ="stylesheet " type ="text/css " href ="https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor/dist/index.css "/> < script src ="https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor/dist/js/i18n/zh_CN.js "> </ script > < script src ="https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor/dist/method.min.js "> </ script > </ head > < body style ="width: 1075px; "> < div class ="vditor-reset " id ="preview "> < h1 id ="排序 "> 排序< a id ="vditorAnchor-排序 " class ="vditor-anchor " href ="#排序 "> < svg viewBox ="0 0 16 16 " version ="1.1 " width ="16 " height ="16 "> < path fill-rule ="evenodd " d ="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z "> </ path > </ svg > </ a > </ h1 >
2+ < blockquote >
3+ < p > 声明:</ p >
4+ < blockquote >
5+ < p > traversal是遍历数组</ p >
6+ </ blockquote >
7+ < blockquote >
8+ < p > swap是交换算法</ p >
9+ </ blockquote >
10+ </ blockquote >
11+ < h2 id ="冒泡排序 "> 冒泡排序< a id ="vditorAnchor-冒泡排序 " class ="vditor-anchor " href ="#冒泡排序 "> < svg viewBox ="0 0 16 16 " version ="1.1 " width ="16 " height ="16 "> < path fill-rule ="evenodd " d ="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z "> </ path > </ svg > </ a > </ h2 >
12+ < ul >
13+ < li > 冒泡排序每次把一个最大的数据往后移动</ li >
14+ </ ul >
15+ < pre > < code class ="language-c "> void BubbleSort(int arr[], int n){
16+ int i, j;
17+ for (i = 0;i < n - 1;++i){
18+ for (j = 0; j < n - i - 1;++j){
19+ if (arr[j] > arr[j + 1])
20+ swap(&arr[j], &arr[j + 1]);
21+ }
22+ }
23+ traversal(arr, n);
24+ }
25+ </ code > </ pre >
26+ < h2 id ="选择排序 "> 选择排序< a id ="vditorAnchor-选择排序 " class ="vditor-anchor " href ="#选择排序 "> < svg viewBox ="0 0 16 16 " version ="1.1 " width ="16 " height ="16 "> < path fill-rule ="evenodd " d ="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z "> </ path > </ svg > </ a > </ h2 >
27+ < ul >
28+ < li > 每次选取未排序中最小的数据换到的前面</ li >
29+ </ ul >
30+ < pre > < code class ="language-c "> void SelectSort(int arr[], int n){
31+ int i, j, minIndex;
32+ for (i = 0;i < n - 1;++i){
33+ minIndex = i;
34+ for (j = i + 1;j < n;++j)
35+ if (arr[minIndex] > arr[j])
36+ minIndex = j;
37+ if (i != minIndex)
38+ swap(&arr[minIndex], &arr[i]);
39+ }
40+ traversal(arr, n);
41+ }
42+ </ code > </ pre >
43+ < h2 id ="插入排序 "> 插入排序< a id ="vditorAnchor-插入排序 " class ="vditor-anchor " href ="#插入排序 "> < svg viewBox ="0 0 16 16 " version ="1.1 " width ="16 " height ="16 "> < path fill-rule ="evenodd " d ="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z "> </ path > </ svg > </ a > </ h2 >
44+ < ul >
45+ < li > 每次把一个数据往前面排好序的数据中比较,不满足往后移,满足则插入</ li >
46+ </ ul >
47+ < pre > < code class ="language-c "> void InsertSort(int arr[], int n){
48+ int i, j, value;
49+ for (i = 0;i < n - 1;i++){
50+ j = i;
51+ value = arr[i + 1];
52+ while (j >= 0 && arr[j] > value){
53+ arr[j + 1] = arr[j];
54+ j--;
55+ }
56+ arr[j + 1] = value;
57+ }
58+ traversal(arr, n);
59+ }
60+ </ code > </ pre >
61+ < h2 id ="希尔排序 "> 希尔排序< a id ="vditorAnchor-希尔排序 " class ="vditor-anchor " href ="#希尔排序 "> < svg viewBox ="0 0 16 16 " version ="1.1 " width ="16 " height ="16 "> < path fill-rule ="evenodd " d ="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z "> </ path > </ svg > </ a > </ h2 >
62+ < ul >
63+ < li > 每次对间隔数的数据排序,排完每轮之后缩减间隔再排</ li >
64+ < li > 希尔排序内部采取的是直接插入排序</ li >
65+ </ ul >
66+ < pre > < code class ="language-c "> void ShellSort(int arr[], int n){
67+ int i, j, gap, value;
68+ for (gap = n / 2;gap >= 1;gap--){
69+ for (i = gap;i < n;i++){
70+ value = arr[i];
71+ for (j = i - gap;j >= 0 && arr[j] > value; j-= gap)
72+ arr[j + gap] = arr[j];
73+ arr[j + gap] = value;
74+ }
75+ }
76+ traversal(arr, n);
77+ }
78+ </ code > </ pre >
79+ < h2 id ="归并排序 "> 归并排序< a id ="vditorAnchor-归并排序 " class ="vditor-anchor " href ="#归并排序 "> < svg viewBox ="0 0 16 16 " version ="1.1 " width ="16 " height ="16 "> < path fill-rule ="evenodd " d ="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z "> </ path > </ svg > </ a > </ h2 >
80+ < ul >
81+ < li > 基于二路归并算法,每次将排序好的数据段合并</ li >
82+ </ ul >
83+ < pre > < code class ="language-c "> void Merge(int arr[], int reg[], int start, int end){
84+ if (start >= end) return;
85+ int mid, len, leftStart, rightStart, leftEnd, rightEnd;
86+ len = end - start;
87+ mid = len / 2 + start;
88+ leftStart = start;
89+ rightStart = mid + 1;
90+ leftEnd = mid;
91+ rightEnd = end;
92+ Merge(arr, reg, leftStart, leftEnd);
93+ Merge(arr, reg, rightStart, rightEnd);
94+ int k = start;
95+ while (leftStart <= leftEnd && rightStart <= rightEnd)
96+ reg[k++] = (arr[leftStart] < arr[rightStart]) ? arr[leftStart++] : arr[rightStart++];
97+ while (leftStart <= leftEnd)
98+ reg[k++] = arr[leftStart++];
99+ while (rightStart <= rightEnd)
100+ reg[k++] = arr[rightStart++];
101+ for (int i = start;i <= end;i++)
102+ arr[i] = reg[i];
103+ }
104+
105+ void MergeSort(int arr[], int n){
106+ int reg[n];
107+ Merge(arr, reg, 0, n - 1);
108+ traversal(arr, n);
109+ }
110+ </ code > </ pre >
111+ < h2 id ="快速排序 "> 快速排序< a id ="vditorAnchor-快速排序 " class ="vditor-anchor " href ="#快速排序 "> < svg viewBox ="0 0 16 16 " version ="1.1 " width ="16 " height ="16 "> < path fill-rule ="evenodd " d ="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z "> </ path > </ svg > </ a > </ h2 >
112+ < ul >
113+ < li > 找到一个基准数据,将其排到左侧是小于它的数,右侧是不小于它的数的位置,并返回这个位置,然后递归地左右两侧再排</ li >
114+ </ ul >
115+ < pre > < code class ="language-c "> int Quick(int arr[], int low, int high){
116+ int pivot = arr[low];
117+ while (low < high){
118+ while (low < high && arr[high] >= pivot)
119+ --high;
120+ arr[low] = arr[high];
121+ while (low < high && arr[low] < pivot)
122+ ++low;
123+ arr[high] = arr[low];
124+ }
125+ arr[low] = pivot;
126+ return low;
127+ }
128+
129+ void QuickSortCore(int arr[], int low, int high){
130+ if (low < high){
131+ int pivot = Quick(arr, low, high);
132+ QuickSortCore(arr, low, pivot - 1);
133+ QuickSortCore(arr, pivot + 1, high);
134+ }
135+ }
136+
137+ void QuickSort(int arr[], int n){
138+ QuickSortCore(arr, 0, n - 1);
139+ traversal(arr, n);
140+ }
141+ </ code > </ pre >
142+ < h2 id ="堆排序 "> 堆排序< a id ="vditorAnchor-堆排序 " class ="vditor-anchor " href ="#堆排序 "> < svg viewBox ="0 0 16 16 " version ="1.1 " width ="16 " height ="16 "> < path fill-rule ="evenodd " d ="M4 9h1v1H4c-1.5 0-3-1.69-3-3.5S2.55 3 4 3h4c1.45 0 3 1.69 3 3.5 0 1.41-.91 2.72-2 3.25V8.59c.58-.45 1-1.27 1-2.09C10 5.22 8.98 4 8 4H4c-.98 0-2 1.22-2 2.5S3 9 4 9zm9-3h-1v1h1c1 0 2 1.22 2 2.5S13.98 12 13 12H9c-.98 0-2-1.22-2-2.5 0-.83.42-1.64 1-2.09V6.25c-1.09.53-2 1.84-2 3.25C6 11.31 7.55 13 9 13h4c1.45 0 3-1.69 3-3.5S14.5 6 13 6z "> </ path > </ svg > </ a > </ h2 >
143+ < pre > < code class ="language-c "> void HeapAdjust(int arr[], int start, int n){
144+ int lchild = start * 2;
145+ int rchild = start * 2 + 1;
146+ int minIndex = start;
147+ if (lchild < n && arr[lchild] < arr[minIndex])
148+ minIndex = lchild;
149+ if (rchild < n && arr[rchild] < arr[minIndex])
150+ minIndex = rchild;
151+ if (minIndex != start){
152+ swap(&arr[minIndex], &arr[start]);
153+ HeapAdjust(arr, minIndex, n);
154+ }
155+ }
156+
157+ void HeapSort(int arr[], int n){
158+ for (int i = n / 2;i >= 0;--i)
159+ HeapAdjust(arr, i, n);
160+ for (int i = n - 1;i >= 0;--i){
161+ printf("%d\t", arr[0]);
162+ swap(&arr[0], &arr[i]);
163+ HeapAdjust(arr, 0, i);
164+ }
165+ }
166+ </ code > </ pre >
167+ </ div > < script > const previewElement = document . getElementById ( 'preview' ) ; Vditor . setContentTheme ( 'idea-light' , 'https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor/dist/css/content-theme' ) ; Vditor . codeRender ( previewElement ) ; Vditor . highlightRender ( { "enable" :true , "lineNumber" :false , "style" :"dracula" } , previewElement , 'https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor' ) ; Vditor . mathRender ( previewElement , { cdn : 'https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor' , math : { "engine" :"KaTeX" , "inlineDigit" :true , "macros" :{ } } } ) ; Vditor . mermaidRender ( previewElement , 'https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor' , 'light' ) ; Vditor . flowchartRender ( previewElement , 'https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor' ) ; Vditor . graphvizRender ( previewElement , 'https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor' ) ; Vditor . chartRender ( previewElement , 'https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor' , 'light' ) ; Vditor . mindmapRender ( previewElement , 'https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor' , 'light' ) ; Vditor . abcRender ( previewElement , 'https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor' ) ; Vditor . mediaRender ( previewElement ) ; Vditor . speechRender ( previewElement ) ; </ script > < script src ="https://cdn.jsdelivr.net/gh/shuzijun/markdown-editor@2.0.5/src/main/resources/vditor/dist/js/icons/ant.js "> </ script > </ body > </ html >
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