{"id":1098,"date":"2025-07-02T18:06:01","date_gmt":"2025-07-02T10:06:01","guid":{"rendered":"https:\/\/beijian99.top\/?p=1098"},"modified":"2025-07-02T18:06:44","modified_gmt":"2025-07-02T10:06:44","slug":"%e5%93%88%e5%b8%8c%e5%86%b2%e7%aa%81","status":"publish","type":"post","link":"https:\/\/beijian99.top\/?p=1098","title":{"rendered":"\u54c8\u5e0c\u51b2\u7a81"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">\u6df1\u5165\u89e3\u6790\u54c8\u5e0c\u8868\u51b2\u7a81\u89e3\u51b3\u65b9\u6cd5\uff1a\u539f\u7406\u3001\u5b9e\u73b0\u4e0e\u4f18\u5316<\/h1>\n\n\n\n<p>\u54c8\u5e0c\u8868\u662f\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\u6700\u91cd\u8981\u3001\u5e94\u7528\u6700\u5e7f\u6cdb\u7684\u6570\u636e\u7ed3\u6784\u4e4b\u4e00\uff0c\u5b83\u80fd\u591f\u5728\u5e73\u5747O(1)\u65f6\u95f4\u590d\u6742\u5ea6\u5185\u5b8c\u6210\u6570\u636e\u7684\u63d2\u5165\u3001\u5220\u9664\u548c\u67e5\u627e\u64cd\u4f5c\u3002\u7136\u800c\uff0c\u54c8\u5e0c\u8868\u7684\u9ad8\u6548\u6027\u4f9d\u8d56\u4e8e\u5982\u4f55\u59a5\u5584\u89e3\u51b3\u200b<strong>\u200b\u54c8\u5e0c\u51b2\u7a81\u200b<\/strong>\u200b\u2014\u2014\u5373\u4e0d\u540c\u952e\u6620\u5c04\u5230\u540c\u4e00\u4f4d\u7f6e\u7684\u95ee\u9898\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"474\" height=\"265\" src=\"https:\/\/beijian99.top\/wp-content\/uploads\/2025\/07\/image-1.png\" alt=\"\" class=\"wp-image-1100\" srcset=\"https:\/\/beijian99.top\/wp-content\/uploads\/2025\/07\/image-1.png 474w, https:\/\/beijian99.top\/wp-content\/uploads\/2025\/07\/image-1-300x168.png 300w\" sizes=\"auto, (max-width: 474px) 100vw, 474px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e00\u3001\u54c8\u5e0c\u51b2\u7a81\u7684\u672c\u8d28\u4e0e\u5f71\u54cd<\/h2>\n\n\n\n<p>\u54c8\u5e0c\u51b2\u7a81\u662f\u6307\u4e24\u4e2a\u6216\u591a\u4e2a\u4e0d\u540c\u7684\u952e\u901a\u8fc7\u54c8\u5e0c\u51fd\u6570\u8ba1\u7b97\u540e\u5f97\u5230\u76f8\u540c\u7684\u54c8\u5e0c\u503c\u6216\u6620\u5c04\u5230\u540c\u4e00\u5b58\u50a8\u4f4d\u7f6e\u7684\u73b0\u8c61\u3002\u8fd9\u79cd\u73b0\u8c61\u51e0\u4e4e\u65e0\u6cd5\u907f\u514d\uff0c\u56e0\u4e3a\u54c8\u5e0c\u51fd\u6570\u901a\u5e38\u9700\u8981\u5c06\u5927\u8303\u56f4\u7684\u952e\uff08\u751a\u81f3\u662f\u65e0\u9650\u96c6\u5408\uff09\u6620\u5c04\u5230\u6709\u9650\u7684\u5b58\u50a8\u7a7a\u95f4\u4e2d\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u54c8\u5e0c\u51b2\u7a81\u4f1a\u5e26\u6765\u4e24\u4e2a\u4e3b\u8981\u95ee\u9898\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u67e5\u627e\u6548\u7387\u4e0b\u964d\uff1a\u51b2\u7a81\u5bfc\u81f4\u9700\u8981\u989d\u5916\u7684\u5904\u7406\u6b65\u9aa4\u624d\u80fd\u627e\u5230\u6b63\u786e\u7684\u5143\u7d20<\/li>\n\n\n\n<li>\u7a7a\u95f4\u5229\u7528\u7387\u964d\u4f4e\uff1a\u67d0\u4e9b\u4f4d\u7f6e\u53ef\u80fd\u8fc7\u5ea6\u62e5\u6324\u800c\u5176\u4ed6\u4f4d\u7f6e\u7a7a\u95f2<\/li>\n<\/ol>\n\n\n\n<p>\u200b<strong>\u200b\u5f71\u54cd\u51b2\u7a81\u6982\u7387\u7684\u5173\u952e\u56e0\u7d20\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u54c8\u5e0c\u51fd\u6570\u7684\u8d28\u91cf\uff1a\u597d\u7684\u54c8\u5e0c\u51fd\u6570\u5e94\u4f7f\u8f93\u51fa\u5747\u5300\u5206\u5e03<\/li>\n\n\n\n<li>\u88c5\u8f7d\u56e0\u5b50(\u03b1)\uff1a\u5143\u7d20\u6570\u91cf\/\u54c8\u5e0c\u8868\u5927\u5c0f\uff0c\u901a\u5e38\u03b1&gt;0.7\u65f6\u51b2\u7a81\u6982\u7387\u663e\u8457\u589e\u52a0<\/li>\n\n\n\n<li>\u54c8\u5e0c\u8868\u5927\u5c0f\uff1a\u7d20\u6570\u5927\u5c0f\u7684\u8868\u901a\u5e38\u80fd\u66f4\u597d\u5730\u5206\u6563\u952e<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e8c\u3001\u5f00\u653e\u5b9a\u5740\u6cd5\u5bb6\u65cf<\/h2>\n\n\n\n<p>\u5f00\u653e\u5b9a\u5740\u6cd5\u7684\u6838\u5fc3\u601d\u60f3\u662f\uff1a\u5f53\u76ee\u6807\u4f4d\u7f6e\u5df2\u88ab\u5360\u7528\u65f6\uff0c\u6309\u7167\u67d0\u79cd\u63a2\u6d4b\u5e8f\u5217\u5bfb\u627e\u4e0b\u4e00\u4e2a\u53ef\u7528\u4f4d\u7f6e\u3002\u6240\u6709\u5143\u7d20\u90fd\u5b58\u50a8\u5728\u54c8\u5e0c\u8868\u672c\u8eab\u4e2d\uff0c\u4e0d\u9700\u8981\u989d\u5916\u7684\u5b58\u50a8\u7ed3\u6784\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u7ebf\u6027\u63a2\u6d4b\u6cd5<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u539f\u7406\u200b<\/strong>\u200b\uff1a<br>\u5f53h(key)\u4f4d\u7f6e\u88ab\u5360\u7528\u65f6\uff0c\u987a\u5e8f\u68c0\u67e5h(key)+1, h(key)+2,&#8230;\u76f4\u5230\u627e\u5230\u7a7a\u4f4d\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u5b9e\u73b0\u793a\u4f8b\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: plain; title: ; notranslate\" title=\"\">\ndef linear_probing_insert(table, key, value):\n    index = hash(key) % len(table)\n    while table&#x5B;index] is not None and table&#x5B;index]&#x5B;0] != key:\n        index = (index + 1) % len(table)  # \u73af\u5f62\u67e5\u627e\n    table&#x5B;index] = (key, value)\n<\/pre><\/div>\n\n\n<p>\u200b<strong>\u200b\u7279\u70b9\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2705 \u4f18\u70b9\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5b9e\u73b0\u6781\u5176\u7b80\u5355<\/li>\n\n\n\n<li>\u7f13\u5b58\u53cb\u597d\uff08\u8fde\u7eed\u5185\u5b58\u8bbf\u95ee\uff09<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u274c \u7f3a\u70b9\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5bb9\u6613\u4ea7\u751f&#8221;\u4e00\u6b21\u805a\u96c6&#8221;\uff08Primary Clustering\uff09\u73b0\u8c61\uff0c\u5373\u5df2\u5360\u7528\u7684\u4f4d\u7f6e\u5f62\u6210\u8fde\u7eed\u5757\uff0c\u5bfc\u81f4\u540e\u7eed\u63d2\u5165\u9700\u8981\u66f4\u957f\u7684\u63a2\u6d4b\u8def\u5f84<\/li>\n\n\n\n<li>\u5e73\u5747\u67e5\u627e\u65f6\u95f4\u968f\u7740\u88c5\u8f7d\u56e0\u5b50\u589e\u52a0\u800c\u6025\u5267\u4e0a\u5347<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u4f18\u5316\u53d8\u79cd\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u7ebf\u6027\u63a2\u6d4b+\u61d2\u60f0\u5220\u9664\uff1a\u6807\u8bb0\u5220\u9664\u4f4d\u7f6e\u800c\u975e\u76f4\u63a5\u7f6e\u7a7a\uff0c\u907f\u514d\u67e5\u627e\u94fe\u65ad\u88c2<\/li>\n\n\n\n<li>\u7ebf\u6027\u63a2\u6d4b+\u79fb\u52a8\u63d2\u5165\uff1a\u63d2\u5165\u65f6\u5982\u679c\u9047\u5230\u5df2\u5220\u9664\u4f4d\u7f6e\uff0c\u53ef\u4ee5\u79fb\u52a8\u540e\u7eed\u5143\u7d20\u586b\u5145<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u5e73\u65b9\u63a2\u6d4b\u6cd5<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u539f\u7406\u200b<\/strong>\u200b\uff1a<br>\u63a2\u6d4b\u5e8f\u5217\u6539\u4e3a\u4f7f\u7528\u5e73\u65b9\u589e\u91cf\uff1ah(key)+1\u00b2, h(key)+2\u00b2, h(key)+3\u00b2,&#8230;<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u6570\u5b66\u8868\u8fbe\u200b<\/strong>\u200b\uff1a<br>h(key, i) = (h(key) + c\u2081i + c\u2082i\u00b2) mod m<br>\u5176\u4e2dc\u2082\u22600\u4fdd\u8bc1\u5e73\u65b9\u6027\u8d28<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u5b9e\u73b0\u793a\u4f8b\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: plain; title: ; notranslate\" title=\"\">\ndef quadratic_probing_insert(table, key, value):\n    index = hash(key) % len(table)\n    i = 1\n    while table&#x5B;index] is not None and table&#x5B;index]&#x5B;0] != key:\n        index = (index + i*i) % len(table)  # \u5e73\u65b9\u589e\u91cf\n        i += 1\n    table&#x5B;index] = (key, value)\n<\/pre><\/div>\n\n\n<p>\u200b<strong>\u200b\u7279\u70b9\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2705 \u4f18\u70b9\uff1a\n<ul class=\"wp-block-list\">\n<li>\u51cf\u8f7b\u4e86\u4e00\u6b21\u805a\u96c6\u95ee\u9898<\/li>\n\n\n\n<li>\u6bd4\u7ebf\u6027\u63a2\u6d4b\u5206\u5e03\u66f4\u5747\u5300<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u274c \u7f3a\u70b9\uff1a\n<ul class=\"wp-block-list\">\n<li>\u53ef\u80fd\u51fa\u73b0&#8221;\u4e8c\u6b21\u805a\u96c6&#8221;\uff08Secondary Clustering\uff09\u2014\u2014\u4e0d\u540c\u952e\u4f7f\u7528\u76f8\u540c\u7684\u63a2\u6d4b\u5e8f\u5217<\/li>\n\n\n\n<li>\u4e0d\u4fdd\u8bc1\u4e00\u5b9a\u80fd\u627e\u5230\u7a7a\u4f4d\uff08\u5373\u4f7f\u8868\u672a\u6ee1\uff09<\/li>\n\n\n\n<li>\u7f13\u5b58\u5c40\u90e8\u6027\u4e0d\u5982\u7ebf\u6027\u63a2\u6d4b<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u6570\u5b66\u4fdd\u8bc1\u200b<\/strong>\u200b\uff1a<br>\u5f53\u8868\u5927\u5c0fm\u4e3a\u7d20\u6570\u4e14\u88c5\u8f7d\u56e0\u5b50\u03b1&lt;0.5\u65f6\uff0c\u5e73\u65b9\u63a2\u6d4b\u4e00\u5b9a\u80fd\u627e\u5230\u7a7a\u4f4d\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u53cc\u91cd\u54c8\u5e0c\u6cd5<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u539f\u7406\u200b<\/strong>\u200b\uff1a<br>\u4f7f\u7528\u7b2c\u4e8c\u4e2a\u54c8\u5e0c\u51fd\u6570\u8ba1\u7b97\u63a2\u6d4b\u6b65\u957f\uff1ah(key, i) = (h\u2081(key) + i*h\u2082(key)) mod m<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u5b9e\u73b0\u793a\u4f8b\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: python; title: ; notranslate\" title=\"\">\ndef double_hash_insert(table, key, value):\n    h1 = hash1(key) % len(table)\n    h2 = hash2(key) % (len(table)-1) + 1  # \u786e\u4fdd\u4e0em\u4e92\u8d28\n    i = 0\n    index = (h1 + i*h2) % len(table)\n    while table&#x5B;index] is not None and table&#x5B;index]&#x5B;0] != key:\n        i += 1\n        index = (h1 + i*h2) % len(table)\n    table&#x5B;index] = (key, value)\n<\/pre><\/div>\n\n\n<p>\u200b<strong>\u200b\u7279\u70b9\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2705 \u4f18\u70b9\uff1a\n<ul class=\"wp-block-list\">\n<li>\u6700\u5747\u5300\u7684\u5f00\u653e\u5b9a\u5740\u65b9\u6cd5<\/li>\n\n\n\n<li>\u51e0\u4e4e\u6d88\u9664\u4e86\u805a\u96c6\u73b0\u8c61<\/li>\n\n\n\n<li>\u5bf9\u4e8e\u9ad8\u88c5\u8f7d\u56e0\u5b50\u8868\u73b0\u826f\u597d<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u274c \u7f3a\u70b9\uff1a\n<ul class=\"wp-block-list\">\n<li>\u9700\u8981\u8ba1\u7b97\u4e24\u4e2a\u54c8\u5e0c\u51fd\u6570<\/li>\n\n\n\n<li>\u7f13\u5b58\u4e0d\u53cb\u597d\uff08\u8bbf\u95ee\u6a21\u5f0f\u968f\u673a\uff09<\/li>\n\n\n\n<li>h\u2082(key)\u5fc5\u987b\u4e0e\u8868\u5927\u5c0fm\u4e92\u8d28\u4ee5\u786e\u4fdd\u63a2\u6d4b\u5e8f\u5217\u8986\u76d6\u5168\u8868<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u8bbe\u8ba1\u8981\u70b9\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>h\u2082(key)\u7684\u7ed3\u679c\u5e94\u22600<\/li>\n\n\n\n<li>\u901a\u5e38\u4f7fm\u4e3a\u7d20\u6570\uff0c\u5e76\u4ee4h\u2082(key)\u2208[1, m-1]<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u3001\u94fe\u5730\u5740\u6cd5<\/h2>\n\n\n\n<p>\u94fe\u5730\u5740\u6cd5\u91c7\u7528\u5b8c\u5168\u4e0d\u540c\u7684\u601d\u8def\u2014\u2014\u5141\u8bb8\u6bcf\u4e2a\u4f4d\u7f6e\u5b58\u50a8\u591a\u4e2a\u5143\u7d20\uff0c\u901a\u5e38\u901a\u8fc7\u94fe\u8868\u5b9e\u73b0\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u57fa\u672c\u5b9e\u73b0<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u6570\u636e\u7ed3\u6784\u200b<\/strong>\u200b\uff1a<br>\u54c8\u5e0c\u8868\u7684\u6bcf\u4e2a\u69fd\u4f4d\u90fd\u662f\u4e00\u4e2a\u94fe\u8868\u5934\u6307\u9488\uff0c\u51b2\u7a81\u5143\u7d20\u8ffd\u52a0\u5230\u94fe\u8868\u672b\u5c3e\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200bJava\u98ce\u683c\u5b9e\u73b0\u793a\u4f8b\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: java; title: ; notranslate\" title=\"\">\nclass HashMap&lt;K,V&gt; {\n    private Node&lt;K,V&gt;&#x5B;] table;\n    \n    static class Node&lt;K,V&gt; {\n        final K key;\n        V value;\n        Node&lt;K,V&gt; next;\n        \/\/ \u6784\u9020\u65b9\u6cd5...\n    }\n    \n    public void put(K key, V value) {\n        int index = hash(key) % table.length;\n        for (Node&lt;K,V&gt; node = table&#x5B;index]; node != null; node = node.next) {\n            if (node.key.equals(key)) {\n                node.value = value; \/\/ \u66f4\u65b0\n                return;\n            }\n        }\n        \/\/ \u63d2\u5165\u65b0\u8282\u70b9\u5230\u94fe\u8868\u5934\u90e8\n        table&#x5B;index] = new Node&lt;&gt;(key, value, table&#x5B;index]);\n    }\n}\n<\/pre><\/div>\n\n\n<h3 class=\"wp-block-heading\">\u4f18\u5316\u6f14\u8fdb<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u200b<strong>\u200b\u94fe\u8868\u8f6c\u7ea2\u9ed1\u6811\u200b<\/strong>\u200b\uff08Java HashMap\uff09\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5f53\u94fe\u8868\u957f\u5ea6\u8d85\u8fc7\u9608\u503c\uff08\u59828\uff09\uff0c\u8f6c\u4e3a\u7ea2\u9ed1\u6811<\/li>\n\n\n\n<li>\u5f53\u8282\u70b9\u6570\u51cf\u5c11\u5230\u9608\u503c\u4ee5\u4e0b\uff08\u59826\uff09\uff0c\u8f6c\u56de\u94fe\u8868<\/li>\n\n\n\n<li>\u5e73\u8861\u4e86\u6781\u7aef\u60c5\u51b5\u4e0b\u7684\u6027\u80fd<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u200b<strong>\u200b\u52a8\u6001\u6269\u5bb9\u200b<\/strong>\u200b\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5f53\u5143\u7d20\u6570\u91cf\u8d85\u8fc7\u5bb9\u91cf\u00d7\u88c5\u8f7d\u56e0\u5b50\u65f6\u6269\u5bb9<\/li>\n\n\n\n<li>\u901a\u5e38\u6269\u5bb9\u4e3a2\u500d\uff0c\u4fdd\u6301\u957f\u5ea6\u4e3a2\u7684\u5e42<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u200b<strong>\u200b\u7f13\u5b58\u4f18\u5316\u200b<\/strong>\u200b\uff1a\n<ul class=\"wp-block-list\">\n<li>\u67d0\u4e9b\u5b9e\u73b0\uff08\u5982Go\uff09\u4f7f\u7528\u8fde\u7eed\u5b58\u50a8\u7684\u952e\u503c\u5bf9\u6570\u7ec4+\u6ea2\u51fa\u6307\u9488<\/li>\n\n\n\n<li>\u6bcf\u4e2a\u6876\u53ef\u4ee5\u5b58\u50a8\u591a\u4e2a\u952e\u503c\u5bf9\uff08\u59828\u4e2a\uff09\uff0c\u51cf\u5c11\u6307\u9488\u8ffd\u8e2a<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\u6027\u80fd\u5206\u6790<\/h3>\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(1)\uff08\u65e0\u51b2\u7a81\uff09<\/li>\n\n\n\n<li>\u6700\u574f\uff1aO(k)\uff08\u6240\u6709\u952e\u51b2\u7a81\uff0ck\u4e3a\u5143\u7d20\u6570\u91cf\uff09<\/li>\n\n\n\n<li>\u5e73\u5747\uff1aO(1+\u03b1)\uff08\u03b1\u4e3a\u88c5\u8f7d\u56e0\u5b50\uff09<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u7a7a\u95f4\u5f00\u9500\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6bcf\u4e2a\u5143\u7d20\u9700\u8981\u989d\u5916\u7684\u6307\u9488\u7a7a\u95f4<\/li>\n\n\n\n<li>\u6307\u9488\u572864\u4f4d\u7cfb\u7edf\u5360\u75288\u5b57\u8282<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u4e0e\u5f00\u653e\u5b9a\u5740\u6cd5\u5bf9\u6bd4\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7ef4\u5ea6<\/th><th>\u94fe\u5730\u5740\u6cd5<\/th><th>\u5f00\u653e\u5b9a\u5740\u6cd5<\/th><\/tr><\/thead><tbody><tr><td>\u9ad8\u88c5\u8f7d\u56e0\u5b50<\/td><td>\u6027\u80fd\u4e0b\u964d\u5e73\u7f13<\/td><td>\u6027\u80fd\u6025\u5267\u4e0b\u964d<\/td><\/tr><tr><td>\u5185\u5b58\u4f7f\u7528<\/td><td>\u989d\u5916\u6307\u9488\u5f00\u9500<\/td><td>\u65e0\u989d\u5916\u5f00\u9500<\/td><\/tr><tr><td>\u5220\u9664\u64cd\u4f5c<\/td><td>\u7b80\u5355<\/td><td>\u9700\u8981\u7279\u6b8a\u6807\u8bb0<\/td><\/tr><tr><td>\u7f13\u5b58\u53cb\u597d\u5ea6<\/td><td>\u8f83\u5dee\uff08\u8282\u70b9\u5206\u6563\uff09<\/td><td>\u8f83\u597d\uff08\u6570\u636e\u8fde\u7eed\uff09<\/td><\/tr><tr><td>\u5b9e\u73b0\u590d\u6742\u5ea6<\/td><td>\u8f83\u7b80\u5355<\/td><td>\u9700\u8981\u8003\u8651\u805a\u96c6\u95ee\u9898<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u56db\u3001\u8fdb\u9636\u65b9\u6cd5\u4e0e\u5e94\u7528\u573a\u666f<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u5e03\u8c37\u9e1f\u54c8\u5e0c\uff08Cuckoo Hashing\uff09<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u6838\u5fc3\u601d\u60f3\u200b<\/strong>\u200b\uff1a<br>\u4f7f\u7528\u4e24\u4e2a\u54c8\u5e0c\u8868\u548c\u4e24\u4e2a\u54c8\u5e0c\u51fd\u6570\uff0c\u6bcf\u4e2a\u952e\u5728\u4e24\u4e2a\u8868\u4e2d\u53ea\u6709\u4e00\u4e2a\u53ef\u80fd\u4f4d\u7f6e\u3002\u63d2\u5165\u65f6\u5982\u679c\u4e24\u4e2a\u4f4d\u7f6e\u90fd\u88ab\u5360\uff0c\u5219&#8221;\u8e22\u51fa&#8221;\u5176\u4e2d\u4e00\u4e2a\u73b0\u6709\u5143\u7d20\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7b97\u6cd5\u6b65\u9aa4\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u8ba1\u7b97key\u7684\u4e24\u4e2a\u4f4d\u7f6e\uff1ah\u2081(key)\u548ch\u2082(key)<\/li>\n\n\n\n<li>\u5982\u679c\u4efb\u4e00\u4f4d\u7f6e\u4e3a\u7a7a\uff0c\u63d2\u5165<\/li>\n\n\n\n<li>\u5426\u5219\uff0c\u968f\u673a\u8e22\u51fa\u4e00\u4e2a\u4f4d\u7f6e\u7684\u73b0\u6709\u5143\u7d20\uff0c\u63d2\u5165\u65b0\u5143\u7d20<\/li>\n\n\n\n<li>\u5bf9\u88ab\u8e22\u51fa\u7684\u5143\u7d20\uff0c\u7528\u53e6\u4e00\u4e2a\u54c8\u5e0c\u51fd\u6570\u91cd\u65b0\u8ba1\u7b97\u4f4d\u7f6e\u5e76\u5c1d\u8bd5\u63d2\u5165<\/li>\n\n\n\n<li>\u91cd\u590d\u4e0a\u8ff0\u8fc7\u7a0b\u76f4\u5230\u6240\u6709\u5143\u7d20\u90fd\u627e\u5230\u4f4d\u7f6e\u6216\u8fbe\u5230\u6700\u5927\u8fed\u4ee3\u6b21\u6570\uff08\u6b64\u65f6\u9700\u8981\u6269\u5bb9\u6216\u91cd\u5efa\uff09<\/li>\n<\/ol>\n\n\n\n<p>\u200b<strong>\u200b\u7279\u70b9\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2705 \u4f18\u70b9\uff1a\n<ul class=\"wp-block-list\">\n<li>\u6700\u574f\u60c5\u51b5\u67e5\u627e\u65f6\u95f4\u4e3aO(1)<\/li>\n\n\n\n<li>\u9ad8\u7a7a\u95f4\u5229\u7528\u7387\uff08\u53ef\u8fbe95%\uff09<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u274c \u7f3a\u70b9\uff1a\n<ul class=\"wp-block-list\">\n<li>\u63d2\u5165\u6210\u672c\u53ef\u80fd\u5f88\u9ad8\uff08\u9700\u8981\u591a\u6b21\u91cd\u5b9a\u4f4d\uff09<\/li>\n\n\n\n<li>\u9700\u8981\u7ef4\u62a4\u4e24\u4e2a\u54c8\u5e0c\u8868<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u5e94\u7528\u573a\u666f\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9700\u8981\u4e25\u683c\u67e5\u627e\u65f6\u95f4\u4fdd\u8bc1\u7684\u7cfb\u7edf<\/li>\n\n\n\n<li>\u9759\u6001\u6216\u8f83\u5c11\u53d8\u5316\u7684\u6570\u636e\u96c6<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u7f57\u5bbe\u6c49\u54c8\u5e0c\uff08Robin Hood Hashing\uff09<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u6838\u5fc3\u601d\u60f3\u200b<\/strong>\u200b\uff1a<br>\u5728\u5f00\u653e\u5b9a\u5740\u6cd5\u4e2d\uff0c\u8ba9&#8221;\u66f4\u5bcc\u6709\u7684&#8221;\uff08\u5373\u63a2\u6d4b\u6b21\u6570\u5c11\u7684\uff09\u5143\u7d20\u8ba9\u4f4d\u4e8e&#8221;\u66f4\u8d2b\u7a77\u7684&#8221;\uff08\u63a2\u6d4b\u6b21\u6570\u591a\u7684\uff09\u5143\u7d20\uff0c\u51cf\u5c11\u6700\u5927\u63a2\u6d4b\u8ddd\u79bb\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u5b9e\u73b0\u8981\u70b9\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u6bcf\u4e2a\u5143\u7d20\u8bb0\u5f55\u5176\u63a2\u6d4b\u6b21\u6570\uff08PSL\uff09<\/li>\n\n\n\n<li>\u63d2\u5165\u65f6\u5982\u679c\u9047\u5230PSL\u66f4\u5c0f\u7684\u5143\u7d20\uff0c\u4ea4\u6362\u4f4d\u7f6e\u5e76\u7ee7\u7eed\u63d2\u5165<\/li>\n\n\n\n<li>\u67e5\u627e\u65f6\u6309\u7167\u539f\u59cb\u54c8\u5e0c\u987a\u5e8f\u8fdb\u884c<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u7279\u70b9\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2705 \u4f18\u70b9\uff1a\n<ul class=\"wp-block-list\">\n<li>\u663e\u8457\u964d\u4f4e\u6700\u5927\u63a2\u6d4b\u8ddd\u79bb<\/li>\n\n\n\n<li>\u67e5\u627e\u6027\u80fd\u66f4\u7a33\u5b9a<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u274c \u7f3a\u70b9\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5b9e\u73b0\u590d\u6742<\/li>\n\n\n\n<li>\u5220\u9664\u64cd\u4f5c\u9ebb\u70e6<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u8df3\u623f\u5b50\u54c8\u5e0c\uff08Hopscotch Hashing\uff09<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u6838\u5fc3\u601d\u60f3\u200b<\/strong>\u200b\uff1a<br>\u7ed3\u5408\u5f00\u653e\u5b9a\u5740\u6cd5\u548c\u94fe\u5730\u5740\u6cd5\u7684\u4f18\u70b9\uff0c\u6bcf\u4e2a\u4f4d\u7f6e\u5468\u56f4\u5b9a\u4e49\u4e00\u4e2a\u90bb\u57df\uff08\u598232\u4e2a\u4f4d\u7f6e\uff09\uff0c\u51b2\u7a81\u5143\u7d20\u653e\u5728\u90bb\u57df\u5185\u3002<\/p>\n\n\n\n<p>\u200b<strong>\u200b\u7279\u70b9\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u901a\u8fc7\u4f4d\u56fe\u8bb0\u5f55\u90bb\u57df\u5360\u7528\u60c5\u51b5<\/li>\n\n\n\n<li>\u67e5\u627e\u53ea\u9700\u68c0\u67e5\u90bb\u57df\u4f4d\u7f6e<\/li>\n\n\n\n<li>\u7ed3\u5408\u4e86\u5f00\u653e\u5b9a\u5740\u6cd5\u7684\u7f13\u5b58\u4f18\u52bf\u548c\u94fe\u5730\u5740\u6cd5\u7684\u51b2\u7a81\u5904\u7406\u80fd\u529b<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e94\u3001\u5de5\u4e1a\u7ea7\u5b9e\u73b0\u6848\u4f8b\u5206\u6790<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">1. Go\u8bed\u8a00map\u5b9e\u73b0<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u6838\u5fc3\u7279\u70b9\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u94fe\u5730\u5740\u6cd5\u7684\u53d8\u79cd\uff1a\u6bcf\u4e2a\u6876\u5b58\u50a88\u4e2a\u952e\u503c\u5bf9<\/li>\n\n\n\n<li>\u4f7f\u7528\u6ea2\u51fa\u6876\u5904\u7406\u989d\u5916\u51b2\u7a81<\/li>\n\n\n\n<li>\u6e10\u8fdb\u5f0f\u6269\u5bb9\uff1a\u5728\u5199\u5165\u65f6\u5206\u6279\u8fc1\u79fb\u6570\u636e<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u5185\u5b58\u5e03\u5c40\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: plain; title: ; notranslate\" title=\"\">\nhmap\n\u2502\n\u251c\u2500\u2500 buckets \u2192 &#x5B;bmap0, bmap1, ..., bmap2^B-1]\n\u2502               \u2502\n\u2502               \u251c\u2500\u2500 tophash &#x5B;8]uint8\n\u2502               \u251c\u2500\u2500 keys    &#x5B;8]keytype\n\u2502               \u251c\u2500\u2500 values  &#x5B;8]valuetype\n\u2502               \u2514\u2500\u2500 overflow *bmap\n\u2514\u2500\u2500 oldbuckets \u2192 \u65e7\u6876\u6570\u7ec4\uff08\u6269\u5bb9\u65f6\u4f7f\u7528\uff09\n<\/pre><\/div>\n\n\n<p>\u200b<strong>\u200b\u6269\u5bb9\u7b56\u7565\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u88c5\u8f7d\u56e0\u5b50&gt;6.5\u6216\u6ea2\u51fa\u6876\u8fc7\u591a\u65f6\u89e6\u53d1<\/li>\n\n\n\n<li>\u6bcf\u6b21\u8fc1\u79fb1-2\u4e2a\u6876\uff0c\u5206\u644a\u6210\u672c<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. Java HashMap<\/h3>\n\n\n\n<p>\u200b<strong>\u200b\u6f14\u8fdb\u5386\u53f2\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>JDK1.7\uff1a\u7eaf\u94fe\u8868\u89e3\u51b3\u51b2\u7a81<\/li>\n\n\n\n<li>JDK1.8+\uff1a\u94fe\u8868\u957f\u5ea6&gt;8\u8f6c\u4e3a\u7ea2\u9ed1\u6811<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u5173\u952e\u53c2\u6570\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u9ed8\u8ba4\u5bb9\u91cf\uff1a16<\/li>\n\n\n\n<li>\u88c5\u8f7d\u56e0\u5b50\uff1a0.75<\/li>\n\n\n\n<li>\u6811\u5316\u9608\u503c\uff1a8<\/li>\n\n\n\n<li>\u89e3\u6811\u5316\u9608\u503c\uff1a6<\/li>\n<\/ul>\n\n\n\n<p>\u200b<strong>\u200b\u5e76\u53d1\u95ee\u9898\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u975e\u7ebf\u7a0b\u5b89\u5168\uff0c\u591a\u7ebf\u7a0b\u64cd\u4f5c\u53ef\u80fd\u5bfc\u81f4\u5faa\u73af\u94fe\u8868<\/li>\n\n\n\n<li>ConcurrentHashMap\u91c7\u7528\u5206\u6bb5\u9501\u4fdd\u8bc1\u7ebf\u7a0b\u5b89\u5168<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u516d\u3001\u5982\u4f55\u9009\u62e9\u5408\u9002\u7684\u51b2\u7a81\u89e3\u51b3\u65b9\u6cd5<\/h2>\n\n\n\n<p>\u9009\u62e9\u51b2\u7a81\u89e3\u51b3\u7b56\u7565\u65f6\u5e94\u8003\u8651\u4ee5\u4e0b\u56e0\u7d20\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u200b<strong>\u200b\u6570\u636e\u7279\u5f81\u200b<\/strong>\u200b\uff1a\n<ul class=\"wp-block-list\">\n<li>\u952e\u7684\u5206\u5e03\uff1a\u662f\u5426\u5bb9\u6613\u4ea7\u751f\u51b2\u7a81<\/li>\n\n\n\n<li>\u6570\u636e\u91cf\u5927\u5c0f\uff1a\u5c0f\u6570\u636e\u96c6\u5f00\u653e\u5b9a\u5740\u6cd5\u53ef\u80fd\u66f4\u4f18<\/li>\n\n\n\n<li>\u9759\u6001vs\u52a8\u6001\uff1a\u9759\u6001\u6570\u636e\u53ef\u4ee5\u8003\u8651\u5b8c\u7f8e\u54c8\u5e0c<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u200b<strong>\u200b\u6027\u80fd\u9700\u6c42\u200b<\/strong>\u200b\uff1a\n<ul class=\"wp-block-list\">\n<li>\u67e5\u627e\u5bc6\u96c6\u578b\uff1a\u94fe\u5730\u5740\u6cd5\u6216\u5e03\u8c37\u9e1f\u54c8\u5e0c<\/li>\n\n\n\n<li>\u63d2\u5165\u5bc6\u96c6\u578b\uff1a\u8003\u8651\u7f57\u5bbe\u6c49\u54c8\u5e0c\u6216\u8df3\u623f\u5b50\u54c8\u5e0c<\/li>\n\n\n\n<li>\u5185\u5b58\u654f\u611f\uff1a\u5f00\u653e\u5b9a\u5740\u6cd5<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u200b<strong>\u200b\u786c\u4ef6\u7279\u6027\u200b<\/strong>\u200b\uff1a\n<ul class=\"wp-block-list\">\n<li>\u7f13\u5b58\u654f\u611f\uff1a\u5f00\u653e\u5b9a\u5740\u6cd5\u901a\u5e38\u66f4\u597d<\/li>\n\n\n\n<li>\u6307\u9488\u6210\u672c\u9ad8\uff1a\u907f\u514d\u94fe\u5730\u5740\u6cd5<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u200b<strong>\u200b\u5e76\u53d1\u9700\u6c42\u200b<\/strong>\u200b\uff1a\n<ul class=\"wp-block-list\">\n<li>\u9ad8\u5e76\u53d1\uff1a\u8003\u8651\u5206\u6bb5\u9501\u6216\u8bfb\u5199\u9501<\/li>\n\n\n\n<li>\u5355\u7ebf\u7a0b\uff1a\u7b80\u5355\u65b9\u6cd5\u5373\u53ef<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>\u200b<strong>\u200b\u901a\u7528\u5efa\u8bae\u200b<\/strong>\u200b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u901a\u7528\u573a\u666f\uff1a\u94fe\u5730\u5740\u6cd5\uff08Java\u98ce\u683c\uff09\u6216\u9ad8\u8d28\u91cf\u5f00\u653e\u5b9a\u5740\u6cd5<\/li>\n\n\n\n<li>\u9ad8\u6027\u80fd\u9700\u6c42\uff1a\u8003\u8651\u5e03\u8c37\u9e1f\u54c8\u5e0c\u6216\u7f57\u5bbe\u6c49\u54c8\u5e0c<\/li>\n\n\n\n<li>\u5185\u5b58\u53d7\u9650\uff1a\u5f00\u653e\u5b9a\u5740\u6cd5<\/li>\n\n\n\n<li>\u5e76\u53d1\u73af\u5883\uff1ajava.util.concurrent.ConcurrentHashMap\u98ce\u683c\u7684\u5206\u6bb5\u9501<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u6df1\u5165\u89e3\u6790\u54c8\u5e0c\u8868\u51b2\u7a81\u89e3\u51b3\u65b9\u6cd5\uff1a\u539f\u7406\u3001\u5b9e\u73b0\u4e0e\u4f18\u5316 \u54c8\u5e0c\u8868\u662f\u8ba1\u7b97\u673a\u79d1\u5b66\u4e2d\u6700\u91cd\u8981\u3001\u5e94\u7528\u6700\u5e7f\u6cdb\u7684\u6570\u636e\u7ed3\u6784\u4e4b\u4e00\uff0c\u5b83\u80fd\u591f\u5728\u5e73 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1100,"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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