{"id":1155,"date":"2022-07-16T17:37:00","date_gmt":"2022-07-16T09:37:00","guid":{"rendered":"https:\/\/beijian99.top\/?p=1155"},"modified":"2025-07-16T17:38:17","modified_gmt":"2025-07-16T09:38:17","slug":"%e6%8e%92%e5%ba%8f%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/beijian99.top\/?p=1155","title":{"rendered":"\u6392\u5e8f\u7b97\u6cd5"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">1. \u6392\u5e8f\u7b97\u6cd5\u6982\u8ff0<\/h2>\n\n\n\n<p>\u6392\u5e8f\u7b97\u6cd5\u662f\u5c06\u4e00\u7ec4\u6570\u636e\u6309\u7167\u7279\u5b9a\u987a\u5e8f\uff08\u901a\u5e38\u662f\u5347\u5e8f\u6216\u964d\u5e8f\uff09\u91cd\u65b0\u6392\u5217\u7684\u8fc7\u7a0b\u3002\u6839\u636e\u4e0d\u540c\u7684\u5b9e\u73b0\u65b9\u5f0f\u548c\u6548\u7387\u7279\u6027\uff0c\u6392\u5e8f\u7b97\u6cd5\u53ef\u4ee5\u5206\u4e3a\u4ee5\u4e0b\u51e0\u7c7b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6bd4\u8f83\u6392\u5e8f\uff1a\u901a\u8fc7\u6bd4\u8f83\u5143\u7d20\u6765\u51b3\u5b9a\u5b83\u4eec\u7684\u76f8\u5bf9\u987a\u5e8f<\/li>\n\n\n\n<li>\u975e\u6bd4\u8f83\u6392\u5e8f\uff1a\u4e0d\u901a\u8fc7\u6bd4\u8f83\u6765\u51b3\u5b9a\u5143\u7d20\u987a\u5e8f<\/li>\n\n\n\n<li>\u7a33\u5b9a\u6392\u5e8f\uff1a\u76f8\u7b49\u5143\u7d20\u7684\u76f8\u5bf9\u987a\u5e8f\u5728\u6392\u5e8f\u524d\u540e\u4fdd\u6301\u4e0d\u53d8<\/li>\n\n\n\n<li>\u4e0d\u7a33\u5b9a\u6392\u5e8f\uff1a\u76f8\u7b49\u5143\u7d20\u7684\u76f8\u5bf9\u987a\u5e8f\u53ef\u80fd\u6539\u53d8<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">2. \u5e38\u89c1\u6392\u5e8f\u7b97\u6cd5\u8be6\u89e3<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">2.1 \u5192\u6ce1\u6392\u5e8f (Bubble Sort)<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u539f\u7406\u200b<\/strong>\u200b\uff1a\u91cd\u590d\u5730\u904d\u5386\u8981\u6392\u5e8f\u7684\u6570\u5217\uff0c\u4e00\u6b21\u6bd4\u8f83\u4e24\u4e2a\u5143\u7d20\uff0c\u5982\u679c\u5b83\u4eec\u7684\u987a\u5e8f\u9519\u8bef\u5c31\u628a\u5b83\u4eec\u4ea4\u6362\u8fc7\u6765\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u65f6\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6700\u4f18\uff1aO(n)\uff08\u5df2\u7ecf\u6709\u5e8f\u7684\u60c5\u51b5\uff09<\/li>\n\n\n\n<li>\u5e73\u5747\uff1aO(n\u00b2)<\/li>\n\n\n\n<li>\u6700\u5dee\uff1aO(n\u00b2)<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u7a7a\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(1)<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a33\u5b9a\u6027\u200b<\/strong>\u200b\uff1a\u7a33\u5b9a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: cpp; title: ; notranslate\" title=\"\">\nvoid bubbleSort(int arr&#x5B;], int n) {\n    for (int i = 0; i &lt; n-1; i++) {\n        bool swapped = false;\n        for (int j = 0; j &lt; n-i-1; j++) {\n            if (arr&#x5B;j] &gt; arr&#x5B;j+1]) {\n                std::swap(arr&#x5B;j], arr&#x5B;j+1]);\n                swapped = true;\n            }\n        }\n        \/\/ \u5982\u679c\u6ca1\u6709\u53d1\u751f\u4ea4\u6362\uff0c\u8bf4\u660e\u5df2\u7ecf\u6709\u5e8f\n        if (!swapped) break;\n    }\n}\n<\/pre><\/div>\n\n\n<h3 class=\"wp-block-heading\">2.2 \u9009\u62e9\u6392\u5e8f (Selection Sort)<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u539f\u7406\u200b<\/strong>\u200b\uff1a\u6bcf\u6b21\u4ece\u672a\u6392\u5e8f\u90e8\u5206\u9009\u62e9\u6700\u5c0f\uff08\u6216\u6700\u5927\uff09\u5143\u7d20\uff0c\u653e\u5230\u5df2\u6392\u5e8f\u90e8\u5206\u7684\u672b\u5c3e\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u65f6\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(n\u00b2)\uff08\u6240\u6709\u60c5\u51b5\uff09<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a7a\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(1)<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a33\u5b9a\u6027\u200b<\/strong>\u200b\uff1a\u4e0d\u7a33\u5b9a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: cpp; title: ; notranslate\" title=\"\">\nvoid selectionSort(int arr&#x5B;], int n) {\n    for (int i = 0; i &lt; n-1; i++) {\n        int min_idx = i;\n        for (int j = i+1; j &lt; n; j++) {\n            if (arr&#x5B;j] &lt; arr&#x5B;min_idx]) {\n                min_idx = j;\n            }\n        }\n        std::swap(arr&#x5B;i], arr&#x5B;min_idx]);\n    }\n}\n<\/pre><\/div>\n\n\n<h3 class=\"wp-block-heading\">2.3 \u63d2\u5165\u6392\u5e8f (Insertion Sort)<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u539f\u7406\u200b<\/strong>\u200b\uff1a\u6784\u5efa\u6709\u5e8f\u5e8f\u5217\uff0c\u5bf9\u4e8e\u672a\u6392\u5e8f\u6570\u636e\uff0c\u5728\u5df2\u6392\u5e8f\u5e8f\u5217\u4e2d\u4ece\u540e\u5411\u524d\u626b\u63cf\uff0c\u627e\u5230\u76f8\u5e94\u4f4d\u7f6e\u5e76\u63d2\u5165\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u65f6\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6700\u4f18\uff1aO(n)\uff08\u5df2\u7ecf\u6709\u5e8f\u7684\u60c5\u51b5\uff09<\/li>\n\n\n\n<li>\u5e73\u5747\uff1aO(n\u00b2)<\/li>\n\n\n\n<li>\u6700\u5dee\uff1aO(n\u00b2)<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u7a7a\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(1)<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a33\u5b9a\u6027\u200b<\/strong>\u200b\uff1a\u7a33\u5b9a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: cpp; title: ; notranslate\" title=\"\">\nvoid insertionSort(int arr&#x5B;], int n) {\n    for (int i = 1; i &lt; n; i++) {\n        int key = arr&#x5B;i];\n        int j = i - 1;\n        \n        while (j &gt;= 0 &amp;&amp; arr&#x5B;j] &gt; key) {\n            arr&#x5B;j+1] = arr&#x5B;j];\n            j--;\n        }\n        arr&#x5B;j+1] = key;\n    }\n}\n<\/pre><\/div>\n\n\n<h3 class=\"wp-block-heading\">2.4 \u5f52\u5e76\u6392\u5e8f (Merge Sort)<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u539f\u7406\u200b<\/strong>\u200b\uff1a\u91c7\u7528\u5206\u6cbb\u6cd5\uff0c\u5c06\u6570\u7ec4\u5206\u6210\u4e24\u534a\u5206\u522b\u6392\u5e8f\uff0c\u7136\u540e\u5c06\u4e24\u4e2a\u6709\u5e8f\u6570\u7ec4\u5408\u5e76\u6210\u4e00\u4e2a\u6709\u5e8f\u6570\u7ec4\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u65f6\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(n log n)\uff08\u6240\u6709\u60c5\u51b5\uff09<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a7a\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(n)<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a33\u5b9a\u6027\u200b<\/strong>\u200b\uff1a\u7a33\u5b9a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: cpp; title: ; notranslate\" title=\"\">\nvoid merge(int arr&#x5B;], int l, int m, int r) {\n    int n1 = m - l + 1;\n    int n2 = r - m;\n    \n    int L&#x5B;n1], R&#x5B;n2];\n    \n    for (int i = 0; i &lt; n1; i++)\n        L&#x5B;i] = arr&#x5B;l + i];\n    for (int j = 0; j &lt; n2; j++)\n        R&#x5B;j] = arr&#x5B;m + 1 + j];\n    \n    int i = 0, j = 0, k = l;\n    \n    while (i &lt; n1 &amp;&amp; j &lt; n2) {\n        if (L&#x5B;i] &lt;= R&#x5B;j]) {\n            arr&#x5B;k] = L&#x5B;i];\n            i++;\n        } else {\n            arr&#x5B;k] = R&#x5B;j];\n            j++;\n        }\n        k++;\n    }\n    \n    while (i &lt; n1) {\n        arr&#x5B;k] = L&#x5B;i];\n        i++;\n        k++;\n    }\n    \n    while (j &lt; n2) {\n        arr&#x5B;k] = R&#x5B;j];\n        j++;\n        k++;\n    }\n}\n\nvoid mergeSort(int arr&#x5B;], int l, int r) {\n    if (l &lt; r) {\n        int m = l + (r - l) \/ 2;\n        mergeSort(arr, l, m);\n        mergeSort(arr, m+1, r);\n        merge(arr, l, m, r);\n    }\n}\n<\/pre><\/div>\n\n\n<h3 class=\"wp-block-heading\">2.5 \u5feb\u901f\u6392\u5e8f (Quick Sort)<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u539f\u7406\u200b<\/strong>\u200b\uff1a\u91c7\u7528\u5206\u6cbb\u6cd5\uff0c\u9009\u62e9\u4e00\u4e2a\u57fa\u51c6\u5143\u7d20\uff0c\u5c06\u6570\u7ec4\u5206\u4e3a\u4e24\u90e8\u5206\uff0c\u4e00\u90e8\u5206\u5c0f\u4e8e\u57fa\u51c6\uff0c\u4e00\u90e8\u5206\u5927\u4e8e\u57fa\u51c6\uff0c\u7136\u540e\u9012\u5f52\u5730\u5bf9\u4e24\u90e8\u5206\u8fdb\u884c\u6392\u5e8f\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u65f6\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6700\u4f18\uff1aO(n log n)<\/li>\n\n\n\n<li>\u5e73\u5747\uff1aO(n log n)<\/li>\n\n\n\n<li>\u6700\u5dee\uff1aO(n\u00b2)\uff08\u5f53\u6570\u7ec4\u5df2\u7ecf\u6709\u5e8f\u6216\u9006\u5e8f\u65f6\uff09<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u7a7a\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(log n)\uff08\u9012\u5f52\u6808\u7a7a\u95f4\uff09<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a33\u5b9a\u6027\u200b<\/strong>\u200b\uff1a\u4e0d\u7a33\u5b9a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: cpp; title: ; notranslate\" title=\"\">\nint partition(int arr&#x5B;], int low, int high) {\n    int pivot = arr&#x5B;high];\n    int i = low - 1;\n    \n    for (int j = low; j &lt;= high-1; j++) {\n        if (arr&#x5B;j] &lt; pivot) {\n            i++;\n            std::swap(arr&#x5B;i], arr&#x5B;j]);\n        }\n    }\n    std::swap(arr&#x5B;i+1], arr&#x5B;high]);\n    return i+1;\n}\n\nvoid quickSort(int arr&#x5B;], int low, int high) {\n    if (low &lt; high) {\n        int pi = partition(arr, low, high);\n        quickSort(arr, low, pi-1);\n        quickSort(arr, pi+1, high);\n    }\n}\n<\/pre><\/div>\n\n\n<h3 class=\"wp-block-heading\">2.6 \u5806\u6392\u5e8f (Heap Sort)<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u539f\u7406\u200b<\/strong>\u200b\uff1a\u5229\u7528\u5806\u8fd9\u79cd\u6570\u636e\u7ed3\u6784\u8bbe\u8ba1\u7684\u4e00\u79cd\u6392\u5e8f\u7b97\u6cd5\uff0c\u5c06\u6570\u7ec4\u6784\u5efa\u4e3a\u5927\u9876\u5806\uff0c\u7136\u540e\u4f9d\u6b21\u53d6\u51fa\u5806\u9876\u5143\u7d20\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u65f6\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(n log n)\uff08\u6240\u6709\u60c5\u51b5\uff09<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a7a\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(1)<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a33\u5b9a\u6027\u200b<\/strong>\u200b\uff1a\u4e0d\u7a33\u5b9a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: cpp; title: ; notranslate\" title=\"\">\nvoid heapify(int arr&#x5B;], int n, int i) {\n    int largest = i;\n    int l = 2*i + 1;\n    int r = 2*i + 2;\n    \n    if (l &lt; n &amp;&amp; arr&#x5B;l] &gt; arr&#x5B;largest])\n        largest = l;\n    \n    if (r &lt; n &amp;&amp; arr&#x5B;r] &gt; arr&#x5B;largest])\n        largest = r;\n    \n    if (largest != i) {\n        std::swap(arr&#x5B;i], arr&#x5B;largest]);\n        heapify(arr, n, largest);\n    }\n}\n\nvoid heapSort(int arr&#x5B;], int n) {\n    \/\/ \u6784\u5efa\u5806\uff08\u4ece\u6700\u540e\u4e00\u4e2a\u975e\u53f6\u5b50\u8282\u70b9\u5f00\u59cb\uff09\n    for (int i = n\/2 - 1; i &gt;= 0; i--)\n        heapify(arr, n, i);\n    \n    \/\/ \u4e00\u4e2a\u4e2a\u4ece\u5806\u9876\u53d6\u51fa\u5143\u7d20\n    for (int i = n-1; i &gt; 0; i--) {\n        std::swap(arr&#x5B;0], arr&#x5B;i]);\n        heapify(arr, i, 0);\n    }\n}\n<\/pre><\/div>\n\n\n<h2 class=\"wp-block-heading\">3. \u975e\u6bd4\u8f83\u6392\u5e8f\u7b97\u6cd5<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">3.1 \u8ba1\u6570\u6392\u5e8f (Counting Sort)<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u539f\u7406\u200b<\/strong>\u200b\uff1a\u7edf\u8ba1\u6bcf\u4e2a\u5143\u7d20\u51fa\u73b0\u7684\u6b21\u6570\uff0c\u7136\u540e\u6839\u636e\u7edf\u8ba1\u4fe1\u606f\u5c06\u5143\u7d20\u653e\u56de\u6b63\u786e\u4f4d\u7f6e\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u65f6\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(n + k)\uff08k\u662f\u6570\u636e\u8303\u56f4\uff09<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a7a\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(n + k)<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a33\u5b9a\u6027\u200b<\/strong>\u200b\uff1a\u7a33\u5b9a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: cpp; title: ; notranslate\" title=\"\">\nvoid countingSort(int arr&#x5B;], int n) {\n    if (n == 0) return;\n    \n    \/\/ \u627e\u5230\u6700\u5927\u503c\u786e\u5b9a\u8ba1\u6570\u6570\u7ec4\u5927\u5c0f\n    int max_val = arr&#x5B;0];\n    for (int i = 1; i &lt; n; i++) {\n        if (arr&#x5B;i] &gt; max_val) {\n            max_val = arr&#x5B;i];\n        }\n    }\n    \n    int count&#x5B;max_val + 1] = {0};\n    \n    \/\/ \u7edf\u8ba1\u6bcf\u4e2a\u5143\u7d20\u51fa\u73b0\u6b21\u6570\n    for (int i = 0; i &lt; n; i++) {\n        count&#x5B;arr&#x5B;i]]++;\n    }\n    \n    \/\/ \u4fee\u6539\u8ba1\u6570\u6570\u7ec4\u4e3a\u7d2f\u8ba1\u8ba1\u6570\n    for (int i = 1; i &lt;= max_val; i++) {\n        count&#x5B;i] += count&#x5B;i-1];\n    }\n    \n    int output&#x5B;n];\n    \n    \/\/ \u6784\u5efa\u8f93\u51fa\u6570\u7ec4\n    for (int i = n-1; i &gt;= 0; i--) {\n        output&#x5B;count&#x5B;arr&#x5B;i]]-1] = arr&#x5B;i];\n        count&#x5B;arr&#x5B;i]]--;\n    }\n    \n    \/\/ \u62f7\u8d1d\u56de\u539f\u6570\u7ec4\n    for (int i = 0; i &lt; n; i++) {\n        arr&#x5B;i] = output&#x5B;i];\n    }\n}\n<\/pre><\/div>\n\n\n<h3 class=\"wp-block-heading\">3.2 \u57fa\u6570\u6392\u5e8f (Radix Sort)<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u539f\u7406\u200b<\/strong>\u200b\uff1a\u6309\u7167\u4f4e\u4f4d\u5148\u6392\u5e8f\uff0c\u7136\u540e\u6536\u96c6\uff1b\u518d\u6309\u7167\u9ad8\u4f4d\u6392\u5e8f\uff0c\u7136\u540e\u518d\u6536\u96c6\uff1b\u4f9d\u6b21\u7c7b\u63a8\uff0c\u76f4\u5230\u6700\u9ad8\u4f4d\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u65f6\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(nk)\uff08k\u662f\u6700\u5927\u6570\u5b57\u7684\u4f4d\u6570\uff09<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a7a\u95f4\u590d\u6742\u5ea6\u200b<\/strong>\u200b\uff1aO(n + k)<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7a33\u5b9a\u6027\u200b<\/strong>\u200b\uff1a\u7a33\u5b9a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: cpp; title: ; notranslate\" title=\"\">\n\/\/ \u83b7\u53d6\u6570\u7ec4\u4e2d\u6700\u5927\u6570\u7684\u4f4d\u6570\nint getMaxDigits(int arr&#x5B;], int n) {\n    int max_num = arr&#x5B;0];\n    for (int i = 1; i &lt; n; i++) {\n        if (arr&#x5B;i] &gt; max_num) {\n            max_num = arr&#x5B;i];\n        }\n    }\n    \n    int digits = 0;\n    while (max_num != 0) {\n        digits++;\n        max_num \/= 10;\n    }\n    return digits;\n}\n\n\/\/ \u4f7f\u7528\u8ba1\u6570\u6392\u5e8f\u5bf9\u6307\u5b9a\u4f4d\u6570\u8fdb\u884c\u6392\u5e8f\nvoid countingSortForRadix(int arr&#x5B;], int n, int exp) {\n    int output&#x5B;n];\n    int count&#x5B;10] = {0};\n    \n    for (int i = 0; i &lt; n; i++) {\n        count&#x5B;(arr&#x5B;i]\/exp)%10]++;\n    }\n    \n    for (int i = 1; i &lt; 10; i++) {\n        count&#x5B;i] += count&#x5B;i-1];\n    }\n    \n    for (int i = n-1; i &gt;= 0; i--) {\n        output&#x5B;count&#x5B;(arr&#x5B;i]\/exp)%10]-1] = arr&#x5B;i];\n        count&#x5B;(arr&#x5B;i]\/exp)%10]--;\n    }\n    \n    for (int i = 0; i &lt; n; i++) {\n        arr&#x5B;i] = output&#x5B;i];\n    }\n}\n\nvoid radixSort(int arr&#x5B;], int n) {\n    int max_digits = getMaxDigits(arr, n);\n    \n    for (int exp = 1; max_digits &gt; 0; exp *= 10, max_digits--) {\n        countingSortForRadix(arr, n, exp);\n    }\n}\n<\/pre><\/div>\n\n\n<h2 class=\"wp-block-heading\">4. \u6392\u5e8f\u7b97\u6cd5\u6bd4\u8f83\u4e0e\u9009\u62e9<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7b97\u6cd5<\/th><th>\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6<\/th><th>\u6700\u574f\u65f6\u95f4\u590d\u6742\u5ea6<\/th><th>\u7a7a\u95f4\u590d\u6742\u5ea6<\/th><th>\u7a33\u5b9a\u6027<\/th><th>\u9002\u7528\u573a\u666f<\/th><\/tr><\/thead><tbody><tr><td>\u5192\u6ce1\u6392\u5e8f<\/td><td>O(n\u00b2)<\/td><td>O(n\u00b2)<\/td><td>O(1)<\/td><td>\u7a33\u5b9a<\/td><td>\u5c0f\u89c4\u6a21\u6570\u636e\u6216\u57fa\u672c\u6709\u5e8f\u6570\u636e<\/td><\/tr><tr><td>\u9009\u62e9\u6392\u5e8f<\/td><td>O(n\u00b2)<\/td><td>O(n\u00b2)<\/td><td>O(1)<\/td><td>\u4e0d\u7a33\u5b9a<\/td><td>\u5c0f\u89c4\u6a21\u6570\u636e<\/td><\/tr><tr><td>\u63d2\u5165\u6392\u5e8f<\/td><td>O(n\u00b2)<\/td><td>O(n\u00b2)<\/td><td>O(1)<\/td><td>\u7a33\u5b9a<\/td><td>\u5c0f\u89c4\u6a21\u6216\u57fa\u672c\u6709\u5e8f\u6570\u636e<\/td><\/tr><tr><td>\u5f52\u5e76\u6392\u5e8f<\/td><td>O(n log n)<\/td><td>O(n log n)<\/td><td>O(n)<\/td><td>\u7a33\u5b9a<\/td><td>\u5927\u89c4\u6a21\u6570\u636e\uff0c\u9700\u8981\u7a33\u5b9a\u6392\u5e8f<\/td><\/tr><tr><td>\u5feb\u901f\u6392\u5e8f<\/td><td>O(n log n)<\/td><td>O(n\u00b2)<\/td><td>O(log n)<\/td><td>\u4e0d\u7a33\u5b9a<\/td><td>\u5927\u89c4\u6a21\u6570\u636e\uff0c\u901a\u7528\u6392\u5e8f<\/td><\/tr><tr><td>\u5806\u6392\u5e8f<\/td><td>O(n log n)<\/td><td>O(n log n)<\/td><td>O(1)<\/td><td>\u4e0d\u7a33\u5b9a<\/td><td>\u5927\u89c4\u6a21\u6570\u636e\uff0c\u7a7a\u95f4\u6709\u9650<\/td><\/tr><tr><td>\u8ba1\u6570\u6392\u5e8f<\/td><td>O(n + k)<\/td><td>O(n + k)<\/td><td>O(n + k)<\/td><td>\u7a33\u5b9a<\/td><td>\u6574\u6570\u6392\u5e8f\uff0c\u8303\u56f4\u4e0d\u5927<\/td><\/tr><tr><td>\u57fa\u6570\u6392\u5e8f<\/td><td>O(nk)<\/td><td>O(nk)<\/td><td>O(n + k)<\/td><td>\u7a33\u5b9a<\/td><td>\u6574\u6570\u6392\u5e8f\uff0c\u4f4d\u6570\u4e0d\u591a<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u200b<strong>\u200b\u9009\u62e9\u5efa\u8bae\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5c0f\u89c4\u6a21\u6570\u636e\uff1a\u63d2\u5165\u6392\u5e8f\u6216\u5192\u6ce1\u6392\u5e8f<\/li>\n\n\n\n<li>\u5927\u89c4\u6a21\u901a\u7528\u6570\u636e\uff1a\u5feb\u901f\u6392\u5e8f\uff08\u9ed8\u8ba4\u9009\u62e9\uff09<\/li>\n\n\n\n<li>\u9700\u8981\u7a33\u5b9a\u6392\u5e8f\uff1a\u5f52\u5e76\u6392\u5e8f<\/li>\n\n\n\n<li>\u7a7a\u95f4\u6709\u9650\uff1a\u5806\u6392\u5e8f<\/li>\n\n\n\n<li>\u6574\u6570\u6392\u5e8f\u4e14\u8303\u56f4\u4e0d\u5927\uff1a\u8ba1\u6570\u6392\u5e8f\u6216\u57fa\u6570\u6392\u5e8f<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">5. C++ STL\u4e2d\u7684\u6392\u5e8f\u7b97\u6cd5<\/h2>\n\n\n\n<p>C++\u6807\u51c6\u5e93\u63d0\u4f9b\u4e86\u9ad8\u6548\u7684\u6392\u5e8f\u5b9e\u73b0\uff1a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: plain; title: ; notranslate\" title=\"\">\n#include &amp;lt;algorithm&gt;\n#include &amp;lt;vector&gt;\n\nvoid stlSortExample() {\n    std::vector&amp;lt;int&gt; vec = {5, 2, 9, 1, 5, 6};\n    \n    \/\/ \u9ed8\u8ba4\u5347\u5e8f\u6392\u5e8f\n    std::sort(vec.begin(), vec.end());\n    \n    \/\/ \u964d\u5e8f\u6392\u5e8f\n    std::sort(vec.begin(), vec.end(), std::greater&amp;lt;int&gt;());\n    \n    \/\/ \u7a33\u5b9a\u6392\u5e8f\uff08\u4fdd\u6301\u76f8\u7b49\u5143\u7d20\u7684\u76f8\u5bf9\u987a\u5e8f\uff09\n    std::stable_sort(vec.begin(), vec.end());\n    \n    \/\/ \u90e8\u5206\u6392\u5e8f\uff08\u524dn\u4e2a\u5143\u7d20\uff09\n    std::partial_sort(vec.begin(), vec.begin() + 3, vec.end());\n}\n<\/pre><\/div>\n\n\n<p>STL\u7684<code>std::sort<\/code>\u901a\u5e38\u5b9e\u73b0\u4e3a\u5feb\u901f\u6392\u5e8f\u3001\u5806\u6392\u5e8f\u548c\u63d2\u5165\u6392\u5e8f\u7684\u6df7\u5408\uff08Introsort\uff09\uff0c\u5728\u5927\u591a\u6570\u60c5\u51b5\u4e0b\u662f\u6700\u4f18\u9009\u62e9\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Introsort\uff08\u5185\u7701\u6392\u5e8f\uff09<\/h2>\n\n\n\n<p><code>std::sort<\/code>&nbsp;\u7684\u6838\u5fc3\u7b97\u6cd5\u662f Introsort\uff0c\u8fd9\u662f\u4e00\u79cd\u6df7\u5408\u6392\u5e8f\u7b97\u6cd5\uff0c\u7ed3\u5408\u4e86\u4e09\u79cd\u7ecf\u5178\u7b97\u6cd5\u7684\u4f18\u70b9\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u200b<strong>\u200b\u5feb\u901f\u6392\u5e8f\u200b<\/strong>\u200b\uff1a\u4e3b\u6392\u5e8f\u7b97\u6cd5\uff0c\u5e73\u5747\u6027\u80fd\u6700\u597d<\/li>\n\n\n\n<li>\u200b<strong>\u200b\u5806\u6392\u5e8f\u200b<\/strong>\u200b\uff1a\u4f5c\u4e3a\u5feb\u901f\u6392\u5e8f\u7684&#8221;\u5b89\u5168\u7f51&#8221;\uff0c\u9632\u6b62\u6700\u574f\u60c5\u51b5<\/li>\n\n\n\n<li>\u200b<strong>\u200b\u63d2\u5165\u6392\u5e8f\u200b<\/strong>\u200b\uff1a\u5904\u7406\u5c0f\u89c4\u6a21\u6570\u636e<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b97\u6cd5\u9009\u62e9\u7b56\u7565<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u6570\u636e\u89c4\u6a21<\/th><th>\u4f7f\u7528\u7684\u7b97\u6cd5<\/th><th>\u539f\u56e0<\/th><\/tr><\/thead><tbody><tr><td>n \u2264 16-32<\/td><td>\u63d2\u5165\u6392\u5e8f<\/td><td>\u5c0f\u6570\u636e\u91cf\u5e38\u6570\u56e0\u5b50\u5c0f<\/td><\/tr><tr><td>\u9012\u5f52\u6df1\u5ea6 &lt; 2log\u2082n<\/td><td>\u5feb\u901f\u6392\u5e8f<\/td><td>\u5e73\u5747\u6027\u80fd\u6700\u4f18<\/td><\/tr><tr><td>\u9012\u5f52\u6df1\u5ea6 \u2265 2log\u2082n<\/td><td>\u5806\u6392\u5e8f<\/td><td>\u9632\u6b62O(n\u00b2)\u6700\u574f\u60c5\u51b5<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>1. \u6392\u5e8f\u7b97\u6cd5\u6982\u8ff0 \u6392\u5e8f\u7b97\u6cd5\u662f\u5c06\u4e00\u7ec4\u6570\u636e\u6309\u7167\u7279\u5b9a\u987a\u5e8f\uff08\u901a\u5e38\u662f\u5347\u5e8f\u6216\u964d\u5e8f\uff09\u91cd\u65b0\u6392\u5217\u7684\u8fc7\u7a0b\u3002\u6839\u636e\u4e0d\u540c\u7684\u5b9e\u73b0\u65b9\u5f0f\u548c\u6548 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1156,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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