{"id":65379,"date":"2026-01-24T22:16:47","date_gmt":"2026-01-24T14:16:47","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/65379.html"},"modified":"2026-01-24T22:16:47","modified_gmt":"2026-01-24T14:16:47","slug":"%e7%ac%ac%e5%8d%81%e4%ba%94%e7%ab%a0-%e5%ad%97%e5%85%b8%e4%b8%8e%e5%93%88%e5%b8%8c%ef%bc%9a%e9%ab%98%e6%95%88%e7%b4%a2%e5%bc%95%e4%b8%8e%e5%8e%bb%e9%87%8d","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/65379.html","title":{"rendered":"\u7b2c\u5341\u4e94\u7ae0 \u5b57\u5178\u4e0e\u54c8\u5e0c\uff1a\u9ad8\u6548\u7d22\u5f15\u4e0e\u53bb\u91cd"},"content":{"rendered":"<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260124141645-6974d44d4e025.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<\/p>\n<h4>\u7b2c\u5341\u4e94\u7ae0 \u5b57\u5178\u4e0e\u54c8\u5e0c&#xff1a;\u9ad8\u6548\u7d22\u5f15\u4e0e\u53bb\u91cd<\/h4>\n<ul>\n<li>\n<ul>\n<li>0. \u672c\u7ae0\u76ee\u6807\u4e0e\u9002\u7528\u573a\u666f<\/li>\n<li>1. \u5b57\u5178\u4e3a\u4ec0\u4e48\u5feb&#xff1a;\u628a\u201c\u67e5\u627e\u201d\u4ece O(n) \u53d8\u6210 O(1)<\/li>\n<li>2. \u54c8\u5e0c\u8868\u7684\u5de5\u4f5c\u673a\u5236&#xff1a;\u4f60\u9700\u8981\u7684\u5de5\u7a0b\u76f4\u89c9<\/li>\n<li>3. \u5b57\u5178\u4e0e\u96c6\u5408&#xff1a;\u7d22\u5f15\u4e0e\u53bb\u91cd\u7684\u4e24\u628a\u5200<\/li>\n<li>\n<ul>\n<li>3.1 dict&#xff1a;key\u2192value&#xff08;\u7d22\u5f15\/\u6620\u5c04&#xff09;<\/li>\n<li>3.2 set&#xff1a;key \u7684\u96c6\u5408&#xff08;\u5224\u91cd\/\u8fc7\u6ee4&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>4. \u6570\u636e\u5de5\u7a0b\u4e2d\u7684\u201c\u9ad8\u9891\u7d22\u5f15\u6a21\u5f0f\u201d&#xff08;\u53ef\u76f4\u63a5\u5957\u7528&#xff09;<\/li>\n<li>\n<ul>\n<li>4.1 \u4e3b\u952e\u7d22\u5f15&#xff1a;id \u2192 row<\/li>\n<li>4.2 \u5206\u7ec4\u805a\u5408&#xff1a;key \u2192 list&#xff08;bucket&#xff09;<\/li>\n<li>4.3 \u8ba1\u6570&#xff1a;key \u2192 count&#xff08;Counter&#xff09;<\/li>\n<li>4.4 \u53cd\u5411\u7d22\u5f15&#xff1a;token \u2192 doc_ids&#xff08;IR\/RAG \u57fa\u7840&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>5. \u53bb\u91cd\u7684\u4e09\u79cd\u5c42\u7ea7&#xff1a;\u503c\u53bb\u91cd\u3001\u884c\u53bb\u91cd\u3001\u7ec4\u5408 key \u53bb\u91cd<\/li>\n<li>\n<ul>\n<li>5.1 \u503c\u53bb\u91cd&#xff1a;\u5355\u5217 unique<\/li>\n<li>5.2 \u884c\u53bb\u91cd&#xff1a;\u6574\u884c\u5224\u7b49&#xff08;\u7ed3\u6784\u5316\u6570\u636e&#xff09;<\/li>\n<li>5.3 \u7ec4\u5408 key \u53bb\u91cd&#xff1a;\u6700\u5e38\u89c1\u3001\u6700\u63a8\u8350<\/li>\n<\/ul>\n<\/li>\n<li>6. \u4e0d\u53ef\u54c8\u5e0c\u5bf9\u8c61\u600e\u4e48\u529e&#xff1a;\u628a key \u53d8\u6210\u201c\u7a33\u5b9a\u4e14\u53ef\u54c8\u5e0c\u201d<\/li>\n<li>\n<ul>\n<li>6.1 list \u2192 tuple<\/li>\n<li>6.2 dict \u2192 \u89c4\u8303\u5316\u540e\u518d\u54c8\u5e0c&#xff08;\u7a33\u5b9a key&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>7. \u54c8\u5e0c\u4e0e\u201c\u76f8\u7b49\u201d\u7684\u5173\u7cfb&#xff1a;\u4e3a\u4ec0\u4e48\u8981\u540c\u65f6\u5b9e\u73b0 **hash** \u4e0e **eq**<\/li>\n<li>\n<ul>\n<li>7.1 dataclass \u7684\u5b89\u5168\u5199\u6cd5&#xff08;\u4e0d\u53ef\u53d8 &#043; \u53ef\u54c8\u5e0c&#xff09;<\/li>\n<\/ul>\n<\/li>\n<li>8. \u54c8\u5e0c\u78b0\u649e&#xff1a;\u8981\u91cd\u89c6&#xff0c;\u4f46\u522b\u6050\u60e7<\/li>\n<li>\n<ul>\n<li>8.1 \u5de5\u7a0b\u5efa\u8bae&#xff1a;\u907f\u514d\u62ff Python \u5185\u7f6e hash \u505a\u6301\u4e45\u5316 key<\/li>\n<\/ul>\n<\/li>\n<li>9. \u6570\u636e\/AI\u573a\u666f\u4e2d\u7684\u201c\u54c8\u5e0c\u6307\u7eb9\u201d&#xff1a;\u53bb\u91cd\u3001\u7f13\u5b58\u3001\u5b9e\u9a8c\u590d\u73b0<\/li>\n<li>10. \u6027\u80fd\u610f\u8bc6&#xff1a;\u4ec0\u4e48\u65f6\u5019 dict\/set \u662f\u201c\u5fc5\u9009\u9879\u201d<\/li>\n<li>11. \u5b9e\u6218\u6e05\u5355&#xff1a;\u4f60\u53ef\u4ee5\u7acb\u523b\u56de\u53bb\u6539\u7684 8 \u4e2a\u70b9<\/li>\n<li>12. \u5c0f\u7ed3<\/li>\n<li>\u4e0b\u4e00\u7ae0<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u4f60\u505a\u6570\u636e\u5206\u6790\u6216 AI \u5de5\u7a0b&#xff0c;\u8fdf\u65e9\u4f1a\u9047\u5230\u8fd9\u4e09\u7c7b\u201c\u6027\u80fd\u5751\u201d&#xff1a;<\/p>\n<ul>\n<li>\u660e\u660e\u53ea\u662f\u201c\u67e5\u4e00\u4e0b\u67d0\u4e2a id \u5bf9\u5e94\u7684\u7279\u5f81\u201d&#xff0c;\u7ed3\u679c\u5199\u6210\u4e86 O(n) \u7684\u5faa\u73af&#xff0c;\u6570\u636e\u4e00\u5927\u5c31\u5361\u6b7b\u3002<\/li>\n<li>\u53bb\u91cd\/\u5224\u91cd\u5199\u5f97\u5f88\u7384\u5b66&#xff1a;\u5b57\u7b26\u4e32\u53bb\u91cd\u3001\u6837\u672c\u53bb\u91cd\u3001Embedding \u8fd1\u4f3c\u53bb\u91cd\u6df7\u5728\u4e00\u8d77&#xff0c;\u6700\u540e\u8c01\u90fd\u4e0d\u6562\u52a8\u3002<\/li>\n<li>join\/merge \u7528\u5f97\u98de\u8d77&#xff0c;\u4f46\u4e00\u65e6\u9047\u5230\u201c\u975e\u7ed3\u6784\u5316 key\u201d&#xff08;JSON\u3001\u5217\u8868\u3001dict&#xff09;&#xff0c;\u5c31\u4e0d\u77e5\u9053\u600e\u4e48\u7a33\u5b9a\u7d22\u5f15\u3002<\/li>\n<\/ul>\n<p>\u8fd9\u4e00\u7ae0\u6211\u4eec\u628a\u6700\u5e38\u7528\u3001\u6700\u5bb9\u6613\u88ab\u4f4e\u4f30\u7684\u57fa\u7840\u80fd\u529b\u8bb2\u900f&#xff1a;\u5b57\u5178&#xff08;hash table&#xff09;\u4e0e\u54c8\u5e0c&#xff08;hashing&#xff09;\u3002 \u76ee\u6807\u53ea\u6709\u4e00\u4e2a&#xff1a;\u8ba9\u4f60\u5728\u5de5\u7a0b\u91cc\u628a\u201c\u67e5\u8be2\u201d\u548c\u201c\u53bb\u91cd\u201d\u5199\u5f97\u53c8\u5feb\u53c8\u7a33\u3002<\/p>\n<hr \/>\n<h3>0. \u672c\u7ae0\u76ee\u6807\u4e0e\u9002\u7528\u573a\u666f<\/h3>\n<p>\u5b66\u5b8c\u4f60\u5e94\u8be5\u80fd\u505a\u5230&#xff1a;<\/p>\n<li>\u8bc6\u522b\u201c\u8be5\u7528 dict\/set \u7684\u5730\u65b9\u201d&#xff0c;\u907f\u514d\u65e0\u610f\u4e49\u7684 O(n) \u5faa\u73af<\/li>\n<li>\u638c\u63e1\u54c8\u5e0c\u8868\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u76f4\u89c9&#xff1a;\u5e73\u5747 O(1) vs \u6700\u574f\u60c5\u51b5<\/li>\n<li>\u5199\u51fa\u53ef\u7ef4\u62a4\u7684\u201c\u7d22\u5f15\u7ed3\u6784\u201d&#xff1a;id\u2192\u8bb0\u5f55\u3001key\u2192\u805a\u5408\u3001bucket\u2192\u5217\u8868<\/li>\n<li>\u7528 set\/dict \u89e3\u51b3\u5e38\u89c1\u53bb\u91cd&#xff1a;\u884c\u53bb\u91cd\u3001\u5b57\u6bb5\u53bb\u91cd\u3001\u7ec4\u5408 key \u53bb\u91cd<\/li>\n<li>\u5904\u7406\u201c\u4e0d\u53ef\u54c8\u5e0c\u5bf9\u8c61\u201d&#xff08;list\/dict&#xff09;\u5e76\u6784\u9020\u7a33\u5b9a key<\/li>\n<li>\u7406\u89e3\u54c8\u5e0c\u4e0e\u78b0\u649e\u3001\u4ee5\u53ca\u5de5\u7a0b\u4e0a\u5982\u4f55\u89c4\u907f\u201c\u54c8\u5e0c\u4e0d\u7a33\u5b9a\u201d\u95ee\u9898<\/li>\n<hr \/>\n<h3>1. \u5b57\u5178\u4e3a\u4ec0\u4e48\u5feb&#xff1a;\u628a\u201c\u67e5\u627e\u201d\u4ece O(n) \u53d8\u6210 O(1)<\/h3>\n<p>\u5217\u8868\u91cc\u67e5\u627e&#xff1a;<\/p>\n<p><span class=\"token comment\"># O(n)<\/span><br \/>\n<span class=\"token keyword\">for<\/span> row <span class=\"token keyword\">in<\/span> rows<span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> row<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;id&#034;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;&#061;<\/span> target<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">return<\/span> row<\/p>\n<p>\u5b57\u5178\u7d22\u5f15&#xff1a;<\/p>\n<p><span class=\"token comment\"># O(1) \u5e73\u5747<\/span><br \/>\nidx <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">{<\/span>row<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;id&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span> row <span class=\"token keyword\">for<\/span> row <span class=\"token keyword\">in<\/span> rows<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">return<\/span> idx<span class=\"token punctuation\">.<\/span>get<span class=\"token punctuation\">(<\/span>target<span class=\"token punctuation\">)<\/span><\/p>\n<p>\u5f53 n&#061;10 \u4e07\u3001100 \u4e07\u65f6&#xff0c;\u8fd9\u4e2a\u5dee\u8ddd\u5c31\u662f\u201c\u80fd\u4e0d\u80fd\u4e0a\u7ebf\u201d\u7684\u5dee\u8ddd\u3002<\/p>\n<hr \/>\n<h3>2. \u54c8\u5e0c\u8868\u7684\u5de5\u4f5c\u673a\u5236&#xff1a;\u4f60\u9700\u8981\u7684\u5de5\u7a0b\u76f4\u89c9<\/h3>\n<p>\u54c8\u5e0c\u8868\u53ef\u4ee5\u7406\u89e3\u4e3a&#xff1a;<\/p>\n<ul>\n<li>hash(key) \u2192 \u4e00\u4e2a\u6574\u6570<\/li>\n<li>\u7528\u8fd9\u4e2a\u6574\u6570\u6620\u5c04\u5230\u6570\u7ec4\u4f4d\u7f6e&#xff08;bucket&#xff09;<\/li>\n<li>bucket \u91cc\u53ef\u80fd\u6709\u591a\u4e2a\u5143\u7d20&#xff08;\u78b0\u649e&#xff09;&#xff0c;\u518d\u505a\u4e00\u6b21\u6bd4\u8f83\u786e\u8ba4<\/li>\n<\/ul>\n<p>\u5e73\u5747\u590d\u6742\u5ea6&#xff08;\u5de5\u7a0b\u4e0a\u6700\u5e38\u7528&#xff09;&#xff1a;<\/p>\n<ul>\n<li>\u67e5\u627e\/\u63d2\u5165\/\u5220\u9664&#xff1a;O(1)<\/li>\n<\/ul>\n<p>\u6700\u574f\u60c5\u51b5&#xff1a;<\/p>\n<ul>\n<li>\u5982\u679c\u5927\u91cf key \u78b0\u649e&#xff0c;\u53ef\u80fd\u9000\u5316\u4e3a O(n)&#xff08;\u4f46\u6b63\u5e38\u4e1a\u52a1\u5f88\u5c11\u9047\u5230&#xff09;<\/li>\n<\/ul>\n<p>\u4f60\u9700\u8981\u7684\u5de5\u7a0b\u76f4\u89c9\u662f&#xff1a; \u53ea\u8981 key \u8bbe\u8ba1\u5408\u7406\u3001hash \u5206\u5e03\u5747\u5300&#xff0c;dict\/set \u5c31\u662f\u4f60\u6700\u53ef\u9760\u7684\u201c\u7d22\u5f15\u7ed3\u6784\u201d\u3002<\/p>\n<hr \/>\n<h3>3. \u5b57\u5178\u4e0e\u96c6\u5408&#xff1a;\u7d22\u5f15\u4e0e\u53bb\u91cd\u7684\u4e24\u628a\u5200<\/h3>\n<h4>3.1 dict&#xff1a;key\u2192value&#xff08;\u7d22\u5f15\/\u6620\u5c04&#xff09;<\/h4>\n<ul>\n<li>id \u2192 record<\/li>\n<li>token \u2192 count<\/li>\n<li>user_id \u2192 features<\/li>\n<li>doc_id \u2192 embedding path<\/li>\n<\/ul>\n<h4>3.2 set&#xff1a;key \u7684\u96c6\u5408&#xff08;\u5224\u91cd\/\u8fc7\u6ee4&#xff09;<\/h4>\n<ul>\n<li>seen_ids<\/li>\n<li>unique_words<\/li>\n<li>visited_nodes<\/li>\n<\/ul>\n<p>\u6700\u5e38\u89c1\u7684\u53bb\u91cd&#xff1a;<\/p>\n<p>seen <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">set<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\nout <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n<span class=\"token keyword\">for<\/span> x <span class=\"token keyword\">in<\/span> xs<span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> x <span class=\"token keyword\">in<\/span> seen<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">continue<\/span><br \/>\n    seen<span class=\"token punctuation\">.<\/span>add<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">)<\/span><br \/>\n    out<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">)<\/span><\/p>\n<hr \/>\n<h3>4. \u6570\u636e\u5de5\u7a0b\u4e2d\u7684\u201c\u9ad8\u9891\u7d22\u5f15\u6a21\u5f0f\u201d&#xff08;\u53ef\u76f4\u63a5\u5957\u7528&#xff09;<\/h3>\n<h4>4.1 \u4e3b\u952e\u7d22\u5f15&#xff1a;id \u2192 row<\/h4>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">build_pk_index<\/span><span class=\"token punctuation\">(<\/span>rows<span class=\"token punctuation\">,<\/span> key<span class=\"token operator\">&#061;<\/span><span class=\"token string\">&#034;id&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">{<\/span>r<span class=\"token punctuation\">[<\/span>key<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span> r <span class=\"token keyword\">for<\/span> r <span class=\"token keyword\">in<\/span> rows<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u4f7f\u7528\u573a\u666f&#xff1a;<\/p>\n<ul>\n<li>\u6279\u91cf\u8865\u5145\u5b57\u6bb5&#xff08;\u7528 id \u5bf9\u9f50&#xff09;<\/li>\n<li>\u5feb\u901f\u67e5\u6837\u672c<\/li>\n<li>\u66ff\u4ee3\u591a\u6b21\u5faa\u73af\u626b\u63cf<\/li>\n<\/ul>\n<h4>4.2 \u5206\u7ec4\u805a\u5408&#xff1a;key \u2192 list&#xff08;bucket&#xff09;<\/h4>\n<p><span class=\"token keyword\">from<\/span> collections <span class=\"token keyword\">import<\/span> defaultdict<\/p>\n<p>groups <span class=\"token operator\">&#061;<\/span> defaultdict<span class=\"token punctuation\">(<\/span><span class=\"token builtin\">list<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">for<\/span> r <span class=\"token keyword\">in<\/span> rows<span class=\"token punctuation\">:<\/span><br \/>\n    groups<span class=\"token punctuation\">[<\/span>r<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;category&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">)<\/span><\/p>\n<p>\u4f7f\u7528\u573a\u666f&#xff1a;<\/p>\n<ul>\n<li>\u5148\u5206\u6876\u518d\u7edf\u8ba1<\/li>\n<li>\u6784\u5efa\u5012\u6392&#xff1a;token \u2192 doc_ids<\/li>\n<\/ul>\n<h4>4.3 \u8ba1\u6570&#xff1a;key \u2192 count&#xff08;Counter&#xff09;<\/h4>\n<p><span class=\"token keyword\">from<\/span> collections <span class=\"token keyword\">import<\/span> Counter<br \/>\ncnt <span class=\"token operator\">&#061;<\/span> Counter<span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;tag&#034;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token keyword\">for<\/span> r <span class=\"token keyword\">in<\/span> rows<span class=\"token punctuation\">)<\/span><\/p>\n<p>\u4f7f\u7528\u573a\u666f&#xff1a;<\/p>\n<ul>\n<li>\u8bcd\u9891\u3001\u6807\u7b7e\u9891\u6b21\u3001\u9519\u8bef\u7801\u5206\u5e03<\/li>\n<li>\u6570\u636e\u8d28\u91cf\u7edf\u8ba1&#xff08;\u7f3a\u5931\u539f\u56e0\u8ba1\u6570&#xff09;<\/li>\n<\/ul>\n<h4>4.4 \u53cd\u5411\u7d22\u5f15&#xff1a;token \u2192 doc_ids&#xff08;IR\/RAG \u57fa\u7840&#xff09;<\/h4>\n<p>inv <span class=\"token operator\">&#061;<\/span> defaultdict<span class=\"token punctuation\">(<\/span><span class=\"token builtin\">set<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">for<\/span> doc <span class=\"token keyword\">in<\/span> docs<span class=\"token punctuation\">:<\/span><br \/>\n    doc_id <span class=\"token operator\">&#061;<\/span> doc<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;id&#034;<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> tok <span class=\"token keyword\">in<\/span> doc<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;tokens&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">:<\/span><br \/>\n        inv<span class=\"token punctuation\">[<\/span>tok<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>add<span class=\"token punctuation\">(<\/span>doc_id<span class=\"token punctuation\">)<\/span><\/p>\n<p>\u8fd9\u5c31\u662f\u6700\u7b80\u5012\u6392\u7d22\u5f15&#xff0c;RAG\/\u68c0\u7d22\u7cfb\u7edf\u7684\u5e95\u5c42\u76f4\u89c9\u5728\u8fd9\u91cc\u3002<\/p>\n<hr \/>\n<h3>5. \u53bb\u91cd\u7684\u4e09\u79cd\u5c42\u7ea7&#xff1a;\u503c\u53bb\u91cd\u3001\u884c\u53bb\u91cd\u3001\u7ec4\u5408 key \u53bb\u91cd<\/h3>\n<h4>5.1 \u503c\u53bb\u91cd&#xff1a;\u5355\u5217 unique<\/h4>\n<p>unique_users <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">set<\/span><span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;user_id&#034;<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token keyword\">for<\/span> r <span class=\"token keyword\">in<\/span> rows<span class=\"token punctuation\">)<\/span><\/p>\n<h4>5.2 \u884c\u53bb\u91cd&#xff1a;\u6574\u884c\u5224\u7b49&#xff08;\u7ed3\u6784\u5316\u6570\u636e&#xff09;<\/h4>\n<p>\u884c\u662f dict \u65f6&#xff0c;\u4e0d\u80fd\u76f4\u63a5\u653e set&#xff08;\u4e0d\u53ef\u54c8\u5e0c&#xff09;\u3002\u5de5\u7a0b\u505a\u6cd5&#xff1a;<\/p>\n<ul>\n<li>\u9009\u62e9\u201c\u51b3\u5b9a\u552f\u4e00\u6027\u201d\u7684\u5b57\u6bb5\u4f5c\u4e3a key<\/li>\n<li>\u6784\u9020 tuple<\/li>\n<\/ul>\n<p>key <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;user_id&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> r<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;item_id&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> r<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;ts&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h4>5.3 \u7ec4\u5408 key \u53bb\u91cd&#xff1a;\u6700\u5e38\u89c1\u3001\u6700\u63a8\u8350<\/h4>\n<p>seen <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">set<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\nout <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><br \/>\n<span class=\"token keyword\">for<\/span> r <span class=\"token keyword\">in<\/span> rows<span class=\"token punctuation\">:<\/span><br \/>\n    k <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;user_id&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> r<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;item_id&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">if<\/span> k <span class=\"token keyword\">in<\/span> seen<span class=\"token punctuation\">:<\/span><br \/>\n        <span class=\"token keyword\">continue<\/span><br \/>\n    seen<span class=\"token punctuation\">.<\/span>add<span class=\"token punctuation\">(<\/span>k<span class=\"token punctuation\">)<\/span><br \/>\n    out<span class=\"token punctuation\">.<\/span>append<span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">)<\/span><\/p>\n<hr \/>\n<h3>6. \u4e0d\u53ef\u54c8\u5e0c\u5bf9\u8c61\u600e\u4e48\u529e&#xff1a;\u628a key \u53d8\u6210\u201c\u7a33\u5b9a\u4e14\u53ef\u54c8\u5e0c\u201d<\/h3>\n<p>Python \u7684\u89c4\u5219&#xff1a;<\/p>\n<ul>\n<li>\u53ef\u54c8\u5e0c&#xff1a;int\/float\/str\/bytes\/tuple\/frozenset&#xff08;\u524d\u63d0\u662f\u5185\u90e8\u4e5f\u53ef\u54c8\u5e0c&#xff09;<\/li>\n<li>\u4e0d\u53ef\u54c8\u5e0c&#xff1a;list\/dict\/set<\/li>\n<\/ul>\n<h4>6.1 list \u2192 tuple<\/h4>\n<p>k <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">tuple<\/span><span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;tags&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u6ce8\u610f&#xff1a;\u5982\u679c tags \u987a\u5e8f\u65e0\u5173&#xff0c;\u4f60\u8981\u5148\u6392\u5e8f&#xff0c;\u5426\u5219\u540c\u4e00\u96c6\u5408\u4e0d\u540c\u987a\u5e8f\u4f1a\u88ab\u5f53\u6210\u4e0d\u540c key&#xff1a;<\/p>\n<p>k <span class=\"token operator\">&#061;<\/span> <span class=\"token builtin\">tuple<\/span><span class=\"token punctuation\">(<\/span><span class=\"token builtin\">sorted<\/span><span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">[<\/span><span class=\"token string\">&#034;tags&#034;<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<h4>6.2 dict \u2192 \u89c4\u8303\u5316\u540e\u518d\u54c8\u5e0c&#xff08;\u7a33\u5b9a key&#xff09;<\/h4>\n<p>\u5de5\u7a0b\u91cc\u5e38\u7528&#xff1a;<\/p>\n<p><span class=\"token keyword\">import<\/span> json<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">stable_dict_key<\/span><span class=\"token punctuation\">(<\/span>d<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">dict<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> json<span class=\"token punctuation\">.<\/span>dumps<span class=\"token punctuation\">(<\/span>d<span class=\"token punctuation\">,<\/span> sort_keys<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">,<\/span> ensure_ascii<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">,<\/span> separators<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;,&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;:&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u7136\u540e\u7528\u8fd9\u4e2a\u5b57\u7b26\u4e32\u5f53 key\u3002<\/p>\n<hr \/>\n<h3>7. \u54c8\u5e0c\u4e0e\u201c\u76f8\u7b49\u201d\u7684\u5173\u7cfb&#xff1a;\u4e3a\u4ec0\u4e48\u8981\u540c\u65f6\u5b9e\u73b0 hash \u4e0e eq<\/h3>\n<p>\u5f53\u4f60\u628a\u81ea\u5b9a\u4e49\u5bf9\u8c61\u4f5c\u4e3a dict key&#xff08;\u6216\u653e\u8fdb set&#xff09;\u65f6&#xff0c;\u5fc5\u987b\u7406\u89e3\u8fd9\u4e2a\u4e0d\u53d8\u91cf&#xff1a;<\/p>\n<p>\u82e5 a &#061;&#061; b&#xff0c;\u5219\u5fc5\u987b hash(a) &#061;&#061; hash(b)<\/p>\n<p>\u53ef\u4ee5\u7528\u4e00\u4e2a\u6570\u5b66\u5f0f\u8868\u8fbe&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260124141646-6974d44e5fc77.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5426\u5219\u4f60\u4f1a\u5f97\u5230\u201c\u770b\u4f3c\u76f8\u7b49\u5374\u67e5\u4e0d\u5230\u201d\u7684\u707e\u96be\u7ea7 bug\u3002<\/p>\n<h4>7.1 dataclass \u7684\u5b89\u5168\u5199\u6cd5&#xff08;\u4e0d\u53ef\u53d8 &#043; \u53ef\u54c8\u5e0c&#xff09;<\/h4>\n<p><span class=\"token keyword\">from<\/span> dataclasses <span class=\"token keyword\">import<\/span> dataclass<\/p>\n<p><span class=\"token decorator annotation punctuation\">&#064;dataclass<\/span><span class=\"token punctuation\">(<\/span>frozen<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">class<\/span> <span class=\"token class-name\">Key<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    user_id<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span><br \/>\n    item_id<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">int<\/span><\/p>\n<p>frozen&#061;True \u8ba9\u5bf9\u8c61\u4e0d\u53ef\u53d8&#xff0c;\u5929\u7136\u9002\u5408\u4f5c\u4e3a key\u3002<\/p>\n<hr \/>\n<h3>8. \u54c8\u5e0c\u78b0\u649e&#xff1a;\u8981\u91cd\u89c6&#xff0c;\u4f46\u522b\u6050\u60e7<\/h3>\n<p>\u78b0\u649e\u672c\u8eab\u4e0d\u662f bug&#xff0c;\u54c8\u5e0c\u8868\u8bbe\u8ba1\u5c31\u5047\u8bbe\u4f1a\u78b0\u649e&#xff1b;\u771f\u6b63\u7684\u95ee\u9898\u901a\u5e38\u6765\u81ea\u4e24\u7c7b&#xff1a;<\/p>\n<li>key \u8bbe\u8ba1\u4e0d\u5408\u7406&#xff08;\u5206\u5e03\u5dee\u3001\u6781\u6613\u805a\u96c6&#xff09;<\/li>\n<li>\u8bef\u7528\u201c\u975e\u7a33\u5b9a\u54c8\u5e0c\u201d&#xff08;\u4f8b\u5982\u8de8\u8fdb\u7a0b\/\u8de8\u7248\u672c\u4e0d\u4e00\u81f4&#xff09;<\/li>\n<h4>8.1 \u5de5\u7a0b\u5efa\u8bae&#xff1a;\u907f\u514d\u62ff Python \u5185\u7f6e hash \u505a\u6301\u4e45\u5316 key<\/h4>\n<p>Python \u7684 hash(str) \u5728\u4e0d\u540c\u8fdb\u7a0b\u53ef\u80fd\u4e0d\u4e00\u81f4&#xff08;\u51fa\u4e8e\u5b89\u5168\u539f\u56e0&#xff09;\u3002 \u6240\u4ee5&#xff1a;<\/p>\n<ul>\n<li>\u5185\u5b58\u7d22\u5f15\u7528 dict\/set&#xff1a;\u53ef\u4ee5\u76f4\u63a5\u7528\u5185\u7f6e hash&#xff08;\u4f60\u751a\u81f3\u611f\u77e5\u4e0d\u5230&#xff09;<\/li>\n<li>\u843d\u5e93\/\u8de8\u8fdb\u7a0b\u4e00\u81f4\u7684 fingerprint&#xff1a;\u7528\u7a33\u5b9a\u54c8\u5e0c&#xff08;\u5982 sha256\/xxhash&#xff09;<\/li>\n<\/ul>\n<p>\u793a\u4f8b&#xff08;\u7a33\u5b9a\u6307\u7eb9&#xff09;&#xff1a;<\/p>\n<p><span class=\"token keyword\">import<\/span> hashlib<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">sha256_hex<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">:<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> hashlib<span class=\"token punctuation\">.<\/span>sha256<span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">.<\/span>encode<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;utf-8&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>hexdigest<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<hr \/>\n<h3>9. \u6570\u636e\/AI\u573a\u666f\u4e2d\u7684\u201c\u54c8\u5e0c\u6307\u7eb9\u201d&#xff1a;\u53bb\u91cd\u3001\u7f13\u5b58\u3001\u5b9e\u9a8c\u590d\u73b0<\/h3>\n<p>\u4f60\u4f1a\u7ecf\u5e38\u9700\u8981\u4e00\u4e2a \u201cfingerprint\u201d&#xff1a;<\/p>\n<ul>\n<li>\u6837\u672c\u53bb\u91cd&#xff1a;\u540c\u4e00\u6761\u6837\u672c&#xff08;\u6587\u672c\/JSON&#xff09;\u53ea\u5904\u7406\u4e00\u6b21<\/li>\n<li>\u7f13\u5b58&#xff1a;\u540c\u4e00\u8f93\u5165\u4e0d\u91cd\u590d\u7b97 embedding<\/li>\n<li>\u5b9e\u9a8c\u590d\u73b0&#xff1a;\u540c\u4e00\u914d\u7f6e\u751f\u6210\u540c\u4e00 run_id<\/li>\n<\/ul>\n<p>\u4e00\u4e2a\u5b9e\u7528\u8303\u5f0f&#xff1a;<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">fingerprint<\/span><span class=\"token punctuation\">(<\/span>obj<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token operator\">&gt;<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">import<\/span> json<span class=\"token punctuation\">,<\/span> hashlib<br \/>\n    s <span class=\"token operator\">&#061;<\/span> json<span class=\"token punctuation\">.<\/span>dumps<span class=\"token punctuation\">(<\/span>obj<span class=\"token punctuation\">,<\/span> sort_keys<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">True<\/span><span class=\"token punctuation\">,<\/span> ensure_ascii<span class=\"token operator\">&#061;<\/span><span class=\"token boolean\">False<\/span><span class=\"token punctuation\">,<\/span> separators<span class=\"token operator\">&#061;<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;,&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;:&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> hashlib<span class=\"token punctuation\">.<\/span>sha256<span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">.<\/span>encode<span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;utf-8&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>hexdigest<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>\u7136\u540e\u4f60\u53ef\u4ee5&#xff1a;<\/p>\n<ul>\n<li>cache[fingerprint(input)] &#061; result<\/li>\n<li>seen.add(fingerprint(sample))<\/li>\n<\/ul>\n<hr \/>\n<h3>10. \u6027\u80fd\u610f\u8bc6&#xff1a;\u4ec0\u4e48\u65f6\u5019 dict\/set \u662f\u201c\u5fc5\u9009\u9879\u201d<\/h3>\n<p>\u4f60\u53ef\u4ee5\u7528\u4e00\u4e2a\u7b80\u5355\u7684\u5224\u65ad\u5f0f&#xff1a;<\/p>\n<p>\u5f53\u4f60\u7684\u4ee3\u7801\u51fa\u73b0 \u201c\u5728\u5faa\u73af\u91cc\u505a\u67e5\u627e\u201d&#xff0c;\u4e14\u67e5\u627e\u5bf9\u8c61\u89c4\u6a21 \u2265 1e4 \u65f6&#xff0c; \u5927\u6982\u7387\u5e94\u8be5\u6539\u6210&#xff1a;<\/p>\n<ul>\n<li>\u9884\u6784\u5efa dict \u7d22\u5f15<\/li>\n<li>\u6216\u8005\u9884\u6784\u5efa set \u5224\u91cd<\/li>\n<\/ul>\n<p>\u5f62\u5f0f\u5316\u4e00\u70b9&#xff1a;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260124141646-6974d44e70e9d.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u201c\u5199\u4e00\u4e2a\u7d22\u5f15\u201d\u5e38\u5e38\u80fd\u628a\u7a0b\u5e8f\u4ece\u5206\u949f\u7ea7\u964d\u5230\u79d2\u7ea7\u3002<\/p>\n<hr \/>\n<h3>11. \u5b9e\u6218\u6e05\u5355&#xff1a;\u4f60\u53ef\u4ee5\u7acb\u523b\u56de\u53bb\u6539\u7684 8 \u4e2a\u70b9<\/h3>\n<li>join\/\u5bf9\u9f50&#xff1a;\u628a\u53f3\u8868\u5148\u5efa {id: row} \u7d22\u5f15<\/li>\n<li>\u53bb\u91cd&#xff1a;\u7528 set \u505a seen&#xff0c;\u7981\u6b62 if x not in list<\/li>\n<li>\u7edf\u8ba1&#xff1a;\u7528 Counter\/defaultdict(int)&#xff0c;\u7981\u6b62\u624b\u5199 if-else \u8ba1\u6570<\/li>\n<li>\u5206\u7ec4&#xff1a;\u7528 defaultdict(list)&#xff0c;\u7981\u6b62\u5148\u6392\u5e8f\u518d\u904d\u5386&#xff08;\u9664\u975e\u5fc5\u987b\u6709\u5e8f&#xff09;<\/li>\n<li>\u7ec4\u5408 key&#xff1a;\u7528 tuple&#xff0c;\u4fdd\u8bc1\u552f\u4e00\u6027<\/li>\n<li>\u975e\u7a33\u5b9a\u7ed3\u6784&#xff1a;\u7528 json sort_keys \u505a\u7a33\u5b9a key<\/li>\n<li>\u81ea\u5b9a\u4e49\u5bf9\u8c61 key&#xff1a;\u4f7f\u7528 &#064;dataclass(frozen&#061;True)<\/li>\n<li>\u6307\u7eb9\u7f13\u5b58&#xff1a;\u7528 sha256&#xff08;\u6216\u66f4\u5feb\u7684 xxhash&#xff09;&#xff0c;\u4e0d\u8981\u7528\u5185\u7f6e hash \u505a\u6301\u4e45\u5316<\/li>\n<hr \/>\n<h3>12. \u5c0f\u7ed3<\/h3>\n<p>\u5b57\u5178\u4e0e\u54c8\u5e0c\u4e0d\u662f\u201c\u57fa\u7840\u8bed\u6cd5\u201d&#xff0c;\u800c\u662f\u6570\u636e\/AI\u5de5\u7a0b\u91cc\u6700\u6838\u5fc3\u7684\u4e24\u4ef6\u4e8b&#xff1a;<\/p>\n<ul>\n<li>\u7d22\u5f15&#xff1a;\u8ba9\u67e5\u8be2\u4ece O(n) \u53d8\u6210 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