{"id":164,"date":"2010-06-17T00:33:04","date_gmt":"2010-06-17T04:33:04","guid":{"rendered":"http:\/\/hw.minilinux.net\/?p=164"},"modified":"2024-09-08T13:46:24","modified_gmt":"2024-09-08T17:46:24","slug":"%e6%af%8f%e6%97%a55%e9%a2%98-0615","status":"publish","type":"post","link":"https:\/\/hw.minilinux.net\/?p=164","title":{"rendered":"\u6bcf\u65e55\u9898&#8211;0615"},"content":{"rendered":"<p>\u4eca\u5929\u6765\u8bf4\u8bf4\u6392\u5e8f\u628a,<\/p>\n<p>1. Selection Sort(\u9009\u62e9\u6392\u5e8f)<\/p>\n<pre class=\"brush: c;\">void SelectionSort(int*a, int n)\n{\n        for(int i=0; i&lt;n; i++)\n       {           temp = i;\n              for(int j=i+1; j&lt;n; j++)\n                   if(a[j]&lt;a[temp])  temp = j;\n               swap(&amp;a[temp], &amp;a[i]);\n         }\n}<\/pre>\n<p>SelectionSort\u7684\u60f3\u6cd5\u5f88\u76f4\u63a5, \u5982\u679c\u8ba9\u4f60\u505a\u6392\u5e8f, \u4e00\u4e2a\u6ca1\u5b66\u8fc7\u7b97\u6cd5\u7684\u4eba\u53ef\u80fd\u4f1a\u60f3, \u5148\u628a\u6700\u5c0f\u7684\u6311\u51fa\u6765\u653e\u5728\u7b2c\u4e00\u4e2a\u4f4d\u7f6e, \u7136\u540e\u628a\u6b21\u5c0f\u7684\u6311\u51fa\u6765\u653e\u5728\u7b2c\u4e8c\u4e2a\u4f4d\u7f6e, &#8230;&#8230;, \u8fd9\u6837\u4e0d\u5c31\u5f97\u4e86, \u6ca1\u9519, \u5c31\u662f\u8fd9\u4e48\u7b80\u5355.<\/p>\n<p>Time Complexity O(n^2), \u65e0\u8bba\u6700\u597d\u8fd8\u662f\u6700\u574f.<\/p>\n<p>2. \u5192\u6ce1\u6392\u5e8f(Bubble Sort)<\/p>\n<pre class=\"brush: c;\">void BubbleSort(int *a, int n)\n{\n     for(int i=0; i&lt;n;i++)\n         for(int j=0; j&lt;n-i-1; j++)\n             if(a[j]&gt;a[j+1]) swap(&amp;a[j], &amp;a[j+1]);\n }<\/pre>\n<p>\u4e3b\u8981\u601d\u60f3\u662f: \u6bcf\u6b21\u4e24\u4e24\u6bd4\u8f83, \u628a\u5982\u679c\u5de6\u8fb9\u6bd4\u53f3\u8fb9\u5927, \u90a3\u4e48\u5c31\u4ea4\u6362\u4f4d\u7f6e, \u5982\u679c\u5c0f\u5c31\u4e0d\u53d8, \u8fd9\u6837\u7b2c\u4e00\u904d\u4e4b\u540e\u6700\u53f3\u8fb9\u5c31\u662f\u6700\u5927\u7684\u6570, \u7b2c\u4e8c\u904d\u4e4b\u540e\u53f3\u8fb9\u7b2c\u4e8c\u4e2a\u5c31\u662f\u6b21\u5927\u7684\u6570, \u505a\u4e86n\u904d\u5c31\u7ed3\u675f\u4e86.<br \/>\nTime Complexity O(n^2), \u800c\u4e14\u4e0d\u8bba\u8f93\u5165\u7684\u6570\u7ec4\u60c5\u51b5\u662f\u600e\u4e48\u6837\u7684, \u90fd\u662fn^2.<\/p>\n<p>3. Insertion Sort(\u63d2\u5165\u6392\u5e8f)<\/p>\n<pre class=\"brush: c;\">void InsertSort(int* a, int n)\n{\n        int temp;\n        for(int i =1; i&lt;n; i++)\n        {        temp = a[i];\n           for(int j=i-1; j&gt;=0&amp;&amp;temp&lt;a[j];j--)\n                a[j+1] = a[j];\n         a[j+1] = temp;\n}<\/pre>\n<p>Insertion Sort\u7684\u4e3b\u8981\u601d\u60f3\u5728\u4e8e\u5047\u8bbe\u6211\u4eec\u6bcf\u6b21\u9762\u5bf9\u7684\u90fd\u662f\u4e00\u4e2a\u5df2\u7ecf\u6392\u597d\u5e8f\u7684\u6570\u5217, \u7136\u540e\u6211\u4eec\u628a\u9700\u8981\u52a0\u8fdb\u53bb\u7684\u5143\u7d20\u63d2\u5165\u5728\u91cc\u9762\u5c31\u597d\u4e86, \u5982\u679c\u8054\u7cfb\u5230\u751f\u6d3b\u4e2d\u5f88\u50cf\u6211\u4eec\u6253\u6251\u514b\u724c\u65f6\u5019\u7684\u63d2\u724c\u65b9\u6cd5(\u5f53\u7136\u81f3\u5c11\u6211\u662f\u8fd9\u6837\u63d2\u724c\u7684..), \u53ef\u4ee5\u5f88\u5bb9\u6613\u53d1\u73b0\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u662fO(n^2), \u4f46\u662f\u5982\u679c\u9047\u5230\u6570\u5217\u5df2\u7ecf\u6392\u597d\u5e8f\u7684\u60c5\u51b5, \u90a3\u590d\u6742\u5ea6\u5c31\u53d8\u6210\u4e86O(n), \u8fd9\u662f\u6700\u4f18\u60c5\u51b5.<\/p>\n<p>4. MergeSort<\/p>\n<pre class=\"brush: c;\">int* MergeSort(int *a, int n)\n{\n   if(n&lt;=0) return;\n   elseif(n==1)\n   {\n     int* temp = malloc(sizeof(int)*1);  \/\/I always forget this line!\n     temp[0] = a[0];\n     return temp;\n    }\n   int n1 = n\/2;\n\n   int* temp1 = MergeSort(a, n1);\n   int* temp2 = MergeSort(a+n1, n-n1);\n\n   int* temp = (int *)malloc(sizeof(int)*n);\n   int i=0, j=0, k =0;\n   while(i&lt;n1||j&lt;(n-n1))\n   \t{\n   \t   if(i==n1)\n   \t     temp[k++] = temp2[j++];\n   \t   elseif (j==(n-n1))\n   \t     temp[k++] = temp1[i++];\n   \t   else\n   \t     temp[k++] = (temp1[i]&lt;temp2[j] ? temp1[i++]:temp2[j++]);\n          \/\/I like this line, it rocks\n   \t }\n   free(temp1);\n   free(temp2);\n   return temp;\n}<\/pre>\n<p>\u4e3b\u8981\u7684\u601d\u60f3\u662fdivide and conquer, \u6bcf\u6b21\u628a\u6570\u7ec4\u5e73\u5747\u5206\u6210\u4e24\u4e2a\u90e8\u5206, \u7136\u540e\u5206\u522b\u6392\u5e8f, \u7136\u540e\u518dcombine\u8d77\u6765, \u65f6\u95f4\u590d\u6742\u5ea6\u7684\u8ba1\u7b97 T(n) = 2T(n\/2) + O(n), T(n) = O(nlogn), \u6240\u6709\u60c5\u51b5\u90fd\u662f\u8fd9\u6837.<\/p>\n<p>MergeSort\u7684\u574f\u5904\u5728\u4e8e, \u5b83\u4e0d\u662fin-place\u7684, \u610f\u601d\u662f\u5c31\u662f\u5b83\u4e0d\u80fd\u5728\u539f\u6570\u7ec4\u4e0a\u505a\u597d, \u9700\u8981\u989d\u5916\u7684\u7a7a\u95f4, (\u5c31\u662f\u6211\u7684code\u91cc\u9762\u7684\u90a3\u4e9bmalloc, free\u963f\u8fd9\u79cd),<br \/>\n\u4f46\u662f\u5b83\u7684\u597d\u5904\u5c31\u662f\u5b83\u5728\u6240\u6709\u7684\u60c5\u51b5\u90fd\u662fO(nlogn)\u7684\u65f6\u95f4\u590d\u6742\u5ea6, \u5c24\u5176\u5728\u4e86\u89e3\u5230O(nlogn)\u662f\u6392\u5e8f\u65f6\u95f4\u590d\u6742\u5ea6\u7684\u7406\u8bba\u4e0b\u9650\u4e4b\u540e, \u6211\u4eec\u53ef\u4ee5\u53d1\u73b0\u8fd9\u4e2a\u6027\u8d28\u662f\u591a\u4e48\u5b9d\u8d35.<\/p>\n<p>\u800c\u4e14\u4eceMergeSort\u4e2d\u8fd8\u80fd\u63a8\u51fa\u53e6\u4e00\u4e2a\u6027\u8d28, \u6c42\u4e00\u4e2a\u6570\u7ec4\u7684\u9006\u5e8f\u662f\u591a\u5c11?<\/p>\n<p>5. QuickSort<\/p>\n<pre class=\"brush: c;\">void QuickSort(int *a, int n)\n{\nif(n&gt;2)\n{\n\tint index = Partition(a, n);\n\tQuickSort(a, index);\n\tQuickSort(a+index+1, n-index-1);\n}\n}\n\nint Partition(int *a, int n)\n{\n   int pivot = a[0];\n   int i=1, j=1;\n   while(j&lt;n)\n   {\n      if(a[j]&lt;pivot) swap(&amp;a[j], &amp;a[i++]);\n      j++;\n   }\n   swap(&amp;a[i-1], &amp;a[0]);\n   return i-1;\n}<\/pre>\n<p>QuickSort, \u987e\u540d\u601d\u4e49, \u5feb\u901f\u6392\u5e8f\u5c31\u662f\u5f88\u5feb\u62c9, \u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u662fO(nlogn), \u7136\u540e\u6700\u574f\u60c5\u51b5\u5c31\u662f\u5df2\u7ecf\u6392\u597d\u5e8f\u7684\u65f6\u5019, O(n^2), (\u6240\u4ee5\u6709\u4eba\u8bf4\u5982\u679c\u4f60\u8981\u6d4b\u8bd5\u4e00\u4e2a\u6392\u5e8f\u7a0b\u5e8f\u7684\u8bdd, \u4e00\u4e2a\u5f88\u597d\u7684\u65b9\u6cd5\u5c31\u662f\u628a\u4e00\u7ec4\u6392\u597d\u5e8f\u7684\u6570\u7ec4\u4f5c\u4e3a\u8f93\u5165\u5e8f\u5217 :)).<\/p>\n<p>\u5b83\u6240\u5e26\u7684partition\u51fd\u6570, \u5b9e\u5728\u5f88\u5c4c, \u53ef\u4ee5\u9644\u5e26\u51fa\u5f88\u591a\u526f\u4ea7\u54c1.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4eca\u5929\u6765\u8bf4\u8bf4\u6392\u5e8f\u628a, 1. Selection Sort(\u9009\u62e9\u6392\u5e8f) void SelectionSort(int*a, int n) { for(int i=0; i&lt;n; i++) { temp = i; for(int j=i+1; j&lt;n; j++) if(a[j]&lt;a[temp]) temp = j; swap(&amp;a[temp], &amp;a[i]); } } SelectionSort\u7684\u60f3\u6cd5\u5f88\u76f4\u63a5, \u5982\u679c\u8ba9\u4f60\u505a\u6392\u5e8f, \u4e00\u4e2a\u6ca1\u5b66\u8fc7\u7b97\u6cd5\u7684\u4eba\u53ef\u80fd\u4f1a\u60f3, \u5148\u628a\u6700\u5c0f\u7684\u6311\u51fa\u6765\u653e\u5728\u7b2c\u4e00\u4e2a\u4f4d\u7f6e, \u7136\u540e\u628a\u6b21\u5c0f\u7684\u6311\u51fa\u6765\u653e\u5728\u7b2c\u4e8c\u4e2a\u4f4d\u7f6e, &#8230;&#8230;, \u8fd9\u6837\u4e0d\u5c31\u5f97\u4e86, \u6ca1\u9519, \u5c31\u662f\u8fd9\u4e48\u7b80\u5355. Time Complexity O(n^2), \u65e0\u8bba\u6700\u597d\u8fd8\u662f\u6700\u574f. 2. \u5192\u6ce1\u6392\u5e8f(Bubble Sort) void BubbleSort(int *a, int n) { for(int i=0; i&lt;n;i++) for(int &hellip; <a href=\"https:\/\/hw.minilinux.net\/?p=164\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;\u6bcf\u65e55\u9898&#8211;0615&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[16,11],"class_list":["post-164","post","type-post","status-publish","format-standard","hentry","category-programming-and-algorithm","tag-sort","tag-11"],"_links":{"self":[{"href":"https:\/\/hw.minilinux.net\/index.php?rest_route=\/wp\/v2\/posts\/164","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hw.minilinux.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hw.minilinux.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hw.minilinux.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hw.minilinux.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=164"}],"version-history":[{"count":32,"href":"https:\/\/hw.minilinux.net\/index.php?rest_route=\/wp\/v2\/posts\/164\/revisions"}],"predecessor-version":[{"id":638,"href":"https:\/\/hw.minilinux.net\/index.php?rest_route=\/wp\/v2\/posts\/164\/revisions\/638"}],"wp:attachment":[{"href":"https:\/\/hw.minilinux.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=164"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hw.minilinux.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=164"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hw.minilinux.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=164"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}