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decoding=\"async\" src=\"https:\/\/cdn.codergodv.xyz\/image-20250924133408458.png\" alt=\"image-20250924133408458\"><\/p>\n\n\n\n<p>\u5176\u4e2dk\u4e3a\u54c8\u5e0c\u51fd\u6570\u4e2a\u6570\uff0cm\u4e3a\u5e03\u9686\u8fc7\u6ee4\u5668\u957f\u5ea6\uff0cn\u4e3a\u63d2\u5165\u7684\u5143\u7d20\u4e2a\u6570\uff0cp\u4e3a\u8bef\u5224\u7387\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/cdn.codergodv.xyz\/image-20250924133425315.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/cdn.codergodv.xyz\/image-20250924133425315.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"image-20250924133425315\"\/><\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u5e03\u9686\u8fc7\u6ee4\u5668\u7684\u5b9e\u73b0<\/h2>\n\n\n\n<p>\u9996\u5148\uff0c\u5e03\u9686\u8fc7\u6ee4\u5668\u53ef\u4ee5\u5b9e\u73b0\u4e3a\u4e00\u4e2a\u6a21\u677f\u7c7b\uff0c\u56e0\u4e3a\u63d2\u5165\u5e03\u9686\u8fc7\u6ee4\u5668\u7684\u5143\u7d20\u4e0d\u4ec5\u4ec5\u662f\u5b57\u7b26\u4e32\uff0c\u4e5f\u53ef\u4ee5\u662f\u5176\u4ed6\u7c7b\u578b\u7684\u6570\u636e\uff0c\u53ea\u6709\u8c03\u7528\u8005\u80fd\u591f\u63d0\u4f9b\u5bf9\u5e94\u7684\u54c8\u5e0c\u51fd\u6570\u5c06\u8be5\u7c7b\u578b\u7684\u6570\u636e\u8f6c\u6362\u6210\u6574\u578b\u5373\u53ef\uff0c\u4f46\u4e00\u822c\u60c5\u51b5\u4e0b\u5e03\u9686\u8fc7\u6ee4\u5668\u90fd\u662f\u7528\u6765\u5904\u7406\u5b57\u7b26\u4e32\u7684\uff0c\u6240\u4ee5\u8fd9\u91cc\u53ef\u4ee5\u5c06\u6a21\u677f\u53c2\u6570K\u7684\u7f3a\u7701\u7c7b\u578b\u8bbe\u7f6e\u4e3astring\u3002<\/p>\n\n\n\n<p>\u5e03\u9686\u8fc7\u6ee4\u5668\u4e2d\u7684\u6210\u5458\u4e00\u822c\u4e5f\u5c31\u662f\u4e00\u4e2a\u4f4d\u56fe\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u5e03\u9686\u8fc7\u6ee4\u5668\u8fd9\u91cc\u8bbe\u7f6e\u4e00\u4e2a\u975e\u7c7b\u578b\u6a21\u677f\u53c2\u6570N\uff0c\u7528\u4e8e\u8ba9\u8c03\u7528\u8005\u6307\u5b9a\u4f4d\u56fe\u7684\u957f\u5ea6\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\/\/\u5e03\u9686\u8fc7\u6ee4\u5668\ntemplate&lt;size_t N, class K = string, class Hash1 = BKDRHash, class Hash2 = APHash, class Hash3 = DJBHash&gt;\nclass BloomFilter\n{\npublic:\n    \/\/...\nprivate:\n    bitset&lt;N&gt; _bs;\n};<\/code><\/pre>\n\n\n\n<p>\u5b9e\u4f8b\u5316\u5e03\u9686\u8fc7\u6ee4\u5668\u65f6\u9700\u8981\u8c03\u7528\u8005\u63d0\u4f9b\u4e09\u4e2a\u54c8\u5e0c\u51fd\u6570\uff0c\u7531\u4e8e\u5e03\u9686\u8fc7\u6ee4\u5668\u4e00\u822c\u5904\u7406\u7684\u662f\u5b57\u7b26\u4e32\u7c7b\u578b\u7684\u6570\u636e\uff0c\u56e0\u6b64\u8fd9\u91cc\u6211\u4eec\u53ef\u4ee5\u9ed8\u8ba4\u63d0\u4f9b\u51e0\u4e2a\u5c06\u5b57\u7b26\u4e32\u8f6c\u6362\u6210\u6574\u578b\u7684\u54c8\u5e0c\u51fd\u6570\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8fd9\u91cc\u9009\u53d6\u5c06\u5b57\u7b26\u4e32\u8f6c\u6362\u6210\u6574\u578b\u7684\u54c8\u5e0c\u51fd\u6570\uff0c\u662f\u7ecf\u8fc7\u6d4b\u8bd5\u540e\u7efc\u5408\u8bc4\u5206\u6700\u9ad8\u7684BKDRHash\u3001APHash\u548cDJBHash\uff0c\u8fd9\u4e09\u79cd\u54c8\u5e0c\u7b97\u6cd5\u5728\u591a\u79cd\u573a\u666f\u4e0b\u4ea7\u751f\u54c8\u5e0c\u51b2\u7a81\u7684\u6982\u7387\u662f\u6700\u5c0f\u7684\u3002<\/li>\n\n\n\n<li>\u6b64\u65f6\u672c\u6765\u8fd9\u4e09\u79cd\u54c8\u5e0c\u51fd\u6570\u5355\u72ec\u4f7f\u7528\u65f6\u4ea7\u751f\u51b2\u7a81\u7684\u6982\u7387\u5c31\u6bd4\u8f83\u5c0f\uff0c\u73b0\u5728\u8981\u8ba9\u5b83\u4eec\u540c\u65f6\u4ea7\u751f\u51b2\u7a81\u6982\u7387\u5c31\u66f4\u5c0f\u4e86\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>struct BKDRHash\n{\n    size_t operator()(const string&amp; s)\n    {\n        size_t value = 0;\n        for (auto ch : s)\n        {\n            value = value * 131 + ch;\n        }\n        return value;\n    }\n};\nstruct APHash\n{\n    size_t operator()(const string&amp; s)\n    {\n        size_t value = 0;\n        for (size_t i = 0; i &lt; s.size(); i++)\n        {\n            if ((i &amp; 1) == 0)\n            {\n                value ^= ((value &lt;&lt; 7) ^ s&#91;i] ^ (value &gt;&gt; 3));\n            }\n            else\n            {\n                value ^= (~((value &lt;&lt; 11) ^ s&#91;i] ^ (value &gt;&gt; 5)));\n            }\n        }\n        return value;\n    }\n};\nstruct DJBHash\n{\n    size_t operator()(const string&amp; s)\n    {\n        if (s.empty())\n            return 0;\n        size_t value = 5381;\n        for (auto ch : s)\n        {\n            value += (value &lt;&lt; 5) + ch;\n        }\n        return value;\n    }\n};<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u5e03\u9686\u8fc7\u6ee4\u5668\u7684\u63d2\u5165<\/h3>\n\n\n\n<p>\u5e03\u9686\u8fc7\u6ee4\u5668\u5f53\u4e2d\u9700\u8981\u63d0\u4f9b\u4e00\u4e2aSet\u63a5\u53e3\uff0c\u7528\u4e8e\u63d2\u5165\u5143\u7d20\u5230\u5e03\u9686\u8fc7\u6ee4\u5668\u5f53\u4e2d\u3002\u63d2\u5165\u5143\u7d20\u65f6\uff0c\u9700\u8981\u901a\u8fc7\u4e09\u4e2a\u54c8\u5e0c\u51fd\u6570\u5206\u522b\u8ba1\u7b97\u51fa\u8be5\u5143\u7d20\u5bf9\u5e94\u7684\u4e09\u4e2a\u6bd4\u7279\u4f4d\uff0c\u7136\u540e\u5c06\u4f4d\u56fe\u4e2d\u7684\u8fd9\u4e09\u4e2a\u6bd4\u7279\u4f4d\u8bbe\u7f6e\u4e3a1\u5373\u53ef\u3002<\/p>\n\n\n\n<p>\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>void Set(const K&amp; key)\n{\n    \/\/\u8ba1\u7b97\u51fakey\u5bf9\u5e94\u7684\u4e09\u4e2a\u4f4d\n    size_t i1 = Hash1()(key) % N;\n    size_t i2 = Hash2()(key) % N;\n    size_t i3 = Hash3()(key) % N;\n\n    \/\/\u8bbe\u7f6e\u4f4d\u56fe\u4e2d\u7684\u8fd9\u4e09\u4e2a\u4f4d\n    _bs.set(i1);\n    _bs.set(i2);\n    _bs.set(i3);\n}<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u5e03\u9686\u8fc7\u6ee4\u5668\u7684\u67e5\u627e<\/h3>\n\n\n\n<p>\u5e03\u9686\u8fc7\u6ee4\u5668\u5f53\u4e2d\u8fd8\u9700\u8981\u63d0\u4f9b\u4e00\u4e2aTest\u63a5\u53e3\uff0c\u7528\u4e8e\u68c0\u6d4b\u67d0\u4e2a\u5143\u7d20\u662f\u5426\u5728\u5e03\u9686\u8fc7\u6ee4\u5668\u5f53\u4e2d\u3002\u68c0\u6d4b\u65f6\uff0c\u9700\u8981\u901a\u8fc7\u4e09\u4e2a\u54c8\u5e0c\u51fd\u6570\u5206\u522b\u8ba1\u7b97\u51fa\u8be5\u5143\u7d20\u5bf9\u5e94\u7684\u4e09\u4e2a\u6bd4\u7279\u4f4d\uff0c\u7136\u540e\u5224\u65ad\u4f4d\u56fe\u4e2d\u7684\u8fd9\u4e09\u4e2a\u6bd4\u7279\u4f4d\u662f\u5426\u88ab\u8bbe\u7f6e\u4e3a1\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u53ea\u8981\u8fd9\u4e09\u4e2a\u6bd4\u7279\u4f4d\u5f53\u4e2d\u6709\u4e00\u4e2a\u6bd4\u7279\u4f4d\u672a\u88ab\u8bbe\u7f6e\u5219\u8bf4\u660e\u8be5\u5143\u7d20\u4e00\u5b9a\u4e0d\u5b58\u5728\u3002<\/li>\n\n\n\n<li>\u5982\u679c\u8fd9\u4e09\u4e2a\u6bd4\u7279\u4f4d\u5168\u90e8\u88ab\u8bbe\u7f6e\uff0c\u5219\u8fd4\u56detrue\u8868\u793a\u8be5\u5143\u7d20\u5b58\u5728\uff08\u53ef\u80fd\u5b58\u5728\u8bef\u5224\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<p>\u4ee3\u7801\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>bool Test(const K&amp; key)\n{\n    \/\/\u4f9d\u6b21\u5224\u65adkey\u5bf9\u5e94\u7684\u4e09\u4e2a\u4f4d\u662f\u5426\u88ab\u8bbe\u7f6e\n    size_t i1 = Hash1()(key) % N;\n    if (_bs.test(i1) == false)\n    {\n        return false; \/\/key\u4e00\u5b9a\u4e0d\u5b58\u5728\n    }\n\n    size_t i2 = Hash2()(key) % N;\n    if (_bs.test(i2) == false)\n    {\n        return false; \/\/key\u4e00\u5b9a\u4e0d\u5b58\u5728\n    }\n\n    size_t i3 = Hash3()(key) % N;\n    if (_bs.test(i3) == false)\n    {\n        return false; \/\/key\u4e00\u5b9a\u4e0d\u5b58\u5728\n    }\n\n    return true; \/\/key\u5bf9\u5e94\u7684\u4e09\u4e2a\u4f4d\u90fd\u88ab\u8bbe\u7f6e\uff0ckey\u5b58\u5728\uff08\u53ef\u80fd\u8bef\u5224\uff09\n}<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u5e03\u9686\u8fc7\u6ee4\u5668\u7684\u5220\u9664<\/h3>\n\n\n\n<p>\u5e03\u9686\u8fc7\u6ee4\u5668\u4e00\u822c\u4e0d\u652f\u6301\u5220\u9664\u64cd\u4f5c\uff0c\u539f\u56e0\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u56e0\u4e3a\u5e03\u9686\u8fc7\u6ee4\u5668\u5224\u65ad\u4e00\u4e2a\u5143\u7d20\u5b58\u5728\u65f6\u53ef\u80fd\u5b58\u5728\u8bef\u5224\uff0c\u56e0\u6b64\u65e0\u6cd5\u4fdd\u8bc1\u8981\u5220\u9664\u7684\u5143\u7d20\u786e\u5b9e\u5728\u5e03\u9686\u8fc7\u6ee4\u5668\u5f53\u4e2d\uff0c\u6b64\u65f6\u5c06\u4f4d\u56fe\u4e2d\u5bf9\u5e94\u7684\u6bd4\u7279\u4f4d\u6e050\u4f1a\u5f71\u54cd\u5176\u4ed6\u5143\u7d20\u3002<\/li>\n\n\n\n<li>\u6b64\u5916\uff0c\u5c31\u7b97\u8981\u5220\u9664\u7684\u5143\u7d20\u786e\u5b9e\u5728\u5e03\u9686\u8fc7\u6ee4\u5668\u5f53\u4e2d\uff0c\u4e5f\u53ef\u80fd\u8be5\u5143\u7d20\u6620\u5c04\u7684\u591a\u4e2a\u6bd4\u7279\u4f4d\u5f53\u4e2d\u6709\u4e9b\u6bd4\u7279\u4f4d\u662f\u4e0e\u5176\u4ed6\u5143\u7d20\u5171\u7528\u7684\uff0c\u6b64\u65f6\u5c06\u8fd9\u4e9b\u6bd4\u7279\u4f4d\u6e050\u4e5f\u4f1a\u5f71\u54cd\u5176\u4ed6\u5143\u7d20\u3002<\/li>\n<\/ul>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u5982\u4f55\u8ba9\u5e03\u9686\u8fc7\u6ee4\u5668\u652f\u6301\u5220\u9664\uff1f<\/p>\n<\/blockquote>\n\n\n\n<p>\u8981\u8ba9\u5e03\u9686\u8fc7\u6ee4\u5668\u652f\u6301\u5220\u9664\uff0c\u5fc5\u987b\u8981\u505a\u5230\u4ee5\u4e0b\u4e24\u70b9\uff1a<\/p>\n\n\n\n<ol 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