{"id":40248,"date":"2025-04-21T01:02:45","date_gmt":"2025-04-20T17:02:45","guid":{"rendered":"https:\/\/17aitech.com\/?p=40248"},"modified":"2025-04-21T01:02:45","modified_gmt":"2025-04-20T17:02:45","slug":"%e6%8e%a8%e7%90%86%e6%a8%a1%e5%9e%8b%e5%85%b6%e5%ae%9e%e6%97%a0%e9%9c%80%e3%80%8c%e6%80%9d%e8%80%83%e3%80%8d%ef%bc%9f%e4%bc%af%e5%85%8b%e5%88%a9%e5%8f%91%e7%8e%b0%e6%9c%89%e6%97%b6%e8%b7%b3%e8%bf%87","status":"publish","type":"post","link":"https:\/\/17aitech.com\/?p=40248","title":{"rendered":"\u63a8\u7406\u6a21\u578b\u5176\u5b9e\u65e0\u9700\u300c\u601d\u8003\u300d\uff1f\u4f2f\u514b\u5229\u53d1\u73b0\u6709\u65f6\u8df3\u8fc7\u601d\u8003\u8fc7\u7a0b\u4f1a\u66f4\u5feb\u3001\u66f4\u51c6\u786e"},"content":{"rendered":"<p>\u6587\u7ae0\u6765\u6e90\u4e8e\u4e92\u8054\u7f51:<a href=\"https:\/\/www.jiqizhixin.com\/articles\/2025-04-20-4\" target=\"_blank\">\u63a8\u7406\u6a21\u578b\u5176\u5b9e\u65e0\u9700\u300c\u601d\u8003\u300d\uff1f\u4f2f\u514b\u5229\u53d1\u73b0\u6709\u65f6\u8df3\u8fc7\u601d\u8003\u8fc7\u7a0b\u4f1a\u66f4\u5feb\u3001\u66f4\u51c6\u786e<\/a><\/p>\n<p>\u5f53 DeepSeek-R1\u3001OpenAI o1 \u8fd9\u6837\u7684\u5927\u578b\u63a8\u7406\u6a21\u578b\u8fd8\u5728\u901a\u8fc7\u589e\u52a0\u63a8\u7406\u65f6\u7684\u8ba1\u7b97\u91cf\u63d0\u5347\u6027\u80fd\u65f6\uff0c\u52a0\u5dde\u5927\u5b66\u4f2f\u514b\u5229\u5206\u6821\u4e0e\u827e\u4f26\u4eba\u5de5\u667a\u80fd\u7814\u7a76\u6240\u7a81\u7136\u6254\u51fa\u4e86\u4e00\u9897\u6df1\u6c34\u70b8\u5f39\uff1a<strong>\u522b\u518d\u5377 token \u4e86\uff0c\u65e0\u9700\u663e\u5f0f\u601d\u7ef4\u94fe\uff0c\u63a8\u7406\u6a21\u578b\u4e5f\u80fd\u5b9e\u73b0\u9ad8\u6548\u4e14\u51c6\u786e\u7684\u63a8\u7406<\/strong>\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-d96c848af973ed0c05ad1a2377806949.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-d96c848af973ed0c05ad1a2377806949.png\"><\/a><\/section>\n<p>\u8fd9\u9879\u7814\u7a76\u8ba4\u4e3a\u663e\u5f0f\u601d\u8003\u8fc7\u7a0b\u4f1a\u663e\u8457\u589e\u52a0 token \u4f7f\u7528\u91cf\u548c\u5ef6\u8fdf\uff0c\u5bfc\u81f4\u63a8\u7406\u6548\u7387\u4f4e\u4e0b\u3002<\/p>\n<p>\u5c31\u6bd4\u5982\u5728\u63a7\u5236\u5ef6\u8fdf\u6761\u4ef6\u65f6\uff0cNoThinking \u7684\u6548\u679c\u5c31\u663e\u8457\u597d\u4e8e Thinking\u3002<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-ac971858016303ebd7813210e987e632.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-ac971858016303ebd7813210e987e632.png\"><\/a><\/section>\n<p>\u8fd9\u9879\u7814\u7a76\u7ed9\u51fa\u7684\u51fa\u4eba\u610f\u6599\u7684\u7ed3\u8bba\u5438\u5f15\u4e86\u4e0d\u5c11\u773c\u7403\u3002\u6bd4\u5982\u4e9a\u9a6c\u900a\u7814\u7a76\u591a\u6a21\u6001 LLM \u7684\u535a\u58eb\u540e Gabriele Berton \u603b\u7ed3\u8bf4\uff1aNoThinking \u65b9\u6cd5\u672c\u8d28\u4e0a\u5c31\u662f\u5f3a\u5236\u6a21\u578b\u8f93\u51fa\uff1a\u300c\u601d\u8003\uff1a\u597d\u5427\uff0c\u6211\u60f3\u6211\u5df2\u7ecf\u601d\u8003\u5b8c\u4e86\u3002\u300d<\/p>\n<section><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-5121a4603705c95400715fb330519555.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-5121a4603705c95400715fb330519555.png\"><\/a><\/section>\n<p>\u5177\u4f53\u600e\u4e48\u56de\u4e8b\uff1f\u6765\u770b\u4e00\u4e0b\u539f\u6587\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-f99cc99a357e23b1ef7031b47c4e8ee2.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-f99cc99a357e23b1ef7031b47c4e8ee2.png\"><\/a><\/p>\n<ul>\n<li>\n<p>\u8bba\u6587\u6807\u9898\uff1aReasoning Models Can Be Effective Without Thinking\u00a0<\/p>\n<\/li>\n<li>\n<p>\u8bba\u6587\u5730\u5740\uff1ahttps:\/\/arxiv.org\/pdf\/2504.09858<\/p>\n<\/li>\n<\/ul>\n<p><strong>\u4e0e Thinking \u76f8\u6bd4\uff0cNoThinking \u80fd\u66f4\u597d\u5730\u6743\u8861\u7cbe\u5ea6\u4e0e\u9884\u7b97\u7684\u5173\u7cfb\u00a0<\/strong><\/p>\n<p><strong>\u5b9a\u4e49 Thinking \u548c NoThinking <\/strong><\/p>\n<p>\u5927\u591a\u6570\u73b0\u4ee3\u63a8\u7406\u6a21\u578b\uff0c\u5982 R1 \u548c R1-Distill-Qwen\uff0c\u5728\u5176\u751f\u6210\u8fc7\u7a0b\u4e2d\u90fd\u9075\u5faa\u7c7b\u4f3c\u7684\u7ed3\u6784\uff1a\u5728\u601d\u8003\u6846\u5185\u7684\u63a8\u7406\u8fc7\u7a0b\uff0c\u4ee5 &lt;|beginning_of_thinking|&gt; \u548c &lt;|end_of_thinking|&gt; \u4e3a\u6807\u5fd7\uff0c\u7136\u540e\u662f\u6700\u7ec8\u7b54\u6848\u3002\u57fa\u4e8e\u8fd9\u79cd\u7ed3\u6784\uff0c\u5c06\u4e24\u79cd\u65b9\u6cd5\uff08Thinking \u548c NoThinking\uff09\u5b9a\u4e49\u5982\u4e0b\u3002<\/p>\n<ul>\n<li>\n<p><strong>Thinking <\/strong>\u6307\u7684\u662f\u67e5\u8be2\u63a8\u7406\u6a21\u578b\u4ee5\u751f\u6210\u4ee5\u4e0b\u8f93\u51fa\u7684\u9ed8\u8ba4\u65b9\u6cd5\uff1a\u601d\u8003\u6846\u5185\u7684\u63a8\u7406\u8fc7\u7a0b\u3001\u6700\u7ec8\u89e3\u51b3\u65b9\u6848\u548c\u6700\u7ec8\u7b54\u6848\uff08\u56fe 1\uff08\u84dd\u8272\uff09\uff09\u3002<\/p>\n<\/li>\n<li>\n<p><strong>NoThinking<\/strong> \u6307\u7684\u662f\u901a\u8fc7\u63d0\u793a\u7ed5\u8fc7\u663e\u5f0f\u63a8\u7406\u8fc7\u7a0b\uff0c\u76f4\u63a5\u751f\u6210\u6700\u7ec8\u89e3\u51b3\u65b9\u6848\u548c\u7b54\u6848\u7684\u65b9\u6cd5\u3002\u8fd9\u53ef\u901a\u8fc7\u5728\u89e3\u7801\u8fc7\u7a0b\u4e2d\u5f3a\u5236\u601d\u7ef4\u6846\u4e3a\u7a7a\u6765\u5b9e\u73b0\uff08\u56fe 1\uff08\u6a59\u8272\uff09\uff09\uff0c\u5982\u4e0b\u6240\u793a\u3002<\/p>\n<\/li>\n<\/ul>\n<section>\n<pre data-lang=\"apache\"><code>&lt;|beginning_of_thinking|&gt;\u00a0<\/code>\r\n<code>Okay, I think I have finished thinking.<\/code>\r\n<code>&lt;|end_of_thinking|&gt;<\/code><\/pre>\n<\/section>\n<p>\u4e3a\u4e86\u63a7\u5236\u4e24\u79cd\u65b9\u6cd5\u4e2d\u7684 token \u4f7f\u7528\u91cf\uff0c\u5f53\u6a21\u578b\u8fbe\u5230 token \u9884\u7b97\u65f6\uff0c\u5b83\u5c06\u88ab\u8feb\u751f\u6210\u300c\u6700\u7ec8\u7b54\u6848\u300d\uff0c\u4ee5\u786e\u4fdd\u7acb\u5373\u5f97\u5230\u6700\u7ec8\u7b54\u6848\u3002\u5982\u679c\u6a21\u578b\u5728\u8fbe\u5230 token \u9650\u5236\u65f6\u4ecd\u5728\u601d\u8003\u6846\u5185\uff0c&lt;|end_of_thinking|&gt; \u5c06\u9644\u52a0\u5728\u6700\u7ec8\u7b54\u6848\u6807\u7b7e\u4e4b\u524d\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-b95e8e56987d1f340fef76b03d904cc3.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-b95e8e56987d1f340fef76b03d904cc3.png\"><\/a><\/p>\n<p><strong>\u5b9e\u9a8c\u8bbe\u7f6e<\/strong><\/p>\n<p>\u5b9e\u9a8c\u4f7f\u7528 DeepSeek-R1-Distill-Qwen-32B \u4f5c\u4e3a\u4e3b\u8981\u6a21\u578b\u3002\u5b83\u662f DeepSeek-R1 \u7684\u4e00\u79cd\u84b8\u998f\u7248\uff0c\u901a\u8fc7\u7528 Qwen- 32B \u521d\u59cb\u5316\u6a21\u578b\u5e76\u5728 DeepSeek-R1 \u751f\u6210\u7684\u6570\u636e\u4e0a\u8fdb\u884c\u8bad\u7ec3\u800c\u521b\u5efa\u3002\u6839\u636e\u62a5\u544a\uff0c\u5b83\u662f\u4f7f\u7528\u987a\u5e8f\u6d4b\u8bd5\u65f6\u95f4\u6269\u5c55\u7684\u6700\u5148\u8fdb\u63a8\u7406\u6a21\u578b\u4e4b\u4e00\uff0c\u4e0e\u89c4\u6a21\u66f4\u5927\u7684 DeepSeek R1-Distill-Llama-70B \u4e0d\u76f8\u4e0a\u4e0b\u3002<\/p>\n<p>\u8fd8\u63d0\u4f9b\u4e86\u4e00\u7cfb\u5217\u5177\u6709\u6311\u6218\u6027\u7684\u63a8\u7406\u57fa\u51c6\uff0c\u5305\u62ec\u6570\u5b66\u7ade\u8d5b\u3001\u7f16\u7801\u3001\u5965\u6797\u5339\u514b\u7ade\u8d5b\u95ee\u9898\u548c\u5b9a\u7406\u8bc1\u660e\u7b49\u4efb\u52a1\u3002\u53c8\u4ee5\u591a\u6837\u672c\u51c6\u786e\u7387\uff08pass@k\uff09\u4e3a\u6307\u6807\uff0c\u5b83\u8861\u91cf\u7684\u662f\u5728\u6bcf\u4e2a\u95ee\u9898\u6240\u751f\u6210\u7684 n \u4e2a\u5b8c\u6574\u56de\u590d\u4e2d\uff0c\u968f\u673a\u9009\u53d6 k \u4e2a\u6837\u672c\uff0c\u5176\u4e2d\u81f3\u5c11\u6709\u4e00\u4e2a\u6b63\u786e\u8f93\u51fa\u7684\u6982\u7387\u3002<\/p>\n<p>\u5176\u5f62\u5f0f\u5316\u5b9a\u4e49\u4e3a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-18ee1c39ea9860222c818553f100eb05.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-18ee1c39ea9860222c818553f100eb05.png\"><\/a><\/p>\n<p>\u5176\u4e2d n \u662f\u6bcf\u4e2a\u95ee\u9898\u7684\u91c7\u6837\u8f93\u51fa\u6570\u91cf\uff0cc \u662f\u6b63\u786e\u8f93\u51fa\u7684\u6570\u91cf\u3002<\/p>\n<p>\u5bf9\u4e8e\u5b9a\u7406\u8bc1\u660e\u6570\u636e\u96c6\uff08MiniF2F \u548c ProofNet\uff09\uff0c\u6309\u7167\u6807\u51c6\u4f7f\u7528 k = {1, 2, 4, 8, 16, 32}\uff1b\u5bf9\u4e8e\u8f83\u5c0f\u7684\u6570\u636e\u96c6\uff082024 \u5e74\u7f8e\u56fd\u6570\u5b66\u9080\u8bf7\u8d5b\u30012025 \u5e74\u7f8e\u56fd\u6570\u5b66\u9080\u8bf7\u8d5b\u30012023 \u5e74\u7f8e\u56fd\u6570\u5b66\u7ade\u8d5b\uff09\uff0ck = {1, 2, 4, 8, 16, 32, 64}\uff1b\u5bf9\u4e8e\u8f83\u5927\u7684\u6570\u636e\u96c6\uff08\u5965\u6797\u5339\u514b\u7ade\u8d5b\u57fa\u51c6\u6d4b\u8bd5\u3001\u5b9e\u65f6\u7f16\u7801\u57fa\u51c6\u6d4b\u8bd5\uff09\uff0ck = {1, 2, 4, 8, 16}\u3002\u5bf9\u4e8e\u5f62\u5f0f\u5b9a\u7406\u8bc1\u660e\u57fa\u51c6\u6d4b\u8bd5\uff0c\u300c\u591a\u6837\u672c\u51c6\u786e\u7387\uff08pass@32\uff09\u300d \u662f\u6807\u51c6\u6307\u6807\uff0c\u800c\u5bf9\u4e8e\u6570\u5b66\u548c\u7f16\u7a0b\u57fa\u51c6\u6d4b\u8bd5\uff0c\u6700\u5e38\u7528\u7684\u662f\u300c\u5355\u6837\u672c\u51c6\u786e\u7387\uff08pass@1\uff09\u300d\uff08\u5373\u51c6\u786e\u7387\uff09\u3002<\/p>\n<p><strong>\u5b9e\u9a8c\u7ed3\u679c<\/strong><\/p>\n<p>\u5728<strong>\u672a\u63a7\u5236 token \u9884\u7b97<\/strong>\u7684\u60c5\u51b5\u4e0b\u5bf9 Thinking\u3001NoThinking \u4e0e Qwen Instruct \u8fdb\u884c\u5bf9\u6bd4\u00a0<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-2f8fe606e4a99a20276653ecb1355df3.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-2f8fe606e4a99a20276653ecb1355df3.png\"><\/a><\/p>\n<p>\u9996\u5148\uff0c\u5728 MiniF2F \u548c ProofNet \u4e0a\uff0cNoThinking \u5728\u6240\u6709 k \u503c\u4e0a\u7684\u8868\u73b0\u4e0eThinking \u76f8\u5f53\uff08\u4e24\u8005\u90fd\u663e\u8457\u4f18\u4e8e Qwen-Instruct\uff09\u3002\u8003\u8651\u5230 NoThinking \u4f7f\u7528\u7684 token \u6bd4 Thinking \u5c11 3.3\u20133.7 \u500d\uff0c\u8fd9\u4e00\u7ed3\u679c\u5c24\u5176\u4ee4\u4eba\u60ca\u8bb6\u3002\u5728\u5176\u4ed6\u6570\u636e\u96c6\u4e0a\uff0c\u7ed3\u679c\u5219\u66f4\u4e3a\u590d\u6742\u3002\u5728 k=1 \u65f6\uff0cNoThinking \u843d\u540e\u4e8e Thinking\uff0c\u4f46\u968f\u7740 k \u7684\u589e\u52a0\uff0c\u5dee\u8ddd\u9010\u6e10\u7f29\u5c0f\u3002<\/p>\n<p>\u5728\u6240\u6709\u6570\u636e\u96c6\u4e2d\uff0c\u5f53 k \u503c\u6700\u5927\u65f6\uff0c<span data-pm-slice='1 1 [\"para\",{\"tagName\":\"p\",\"attributes\":{\"style\":\"line-height: 1.75em; margin-left: 8px; margin-right: 8px; text-indent: 0px;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"}]'>NoThinking<\/span><span data-pm-slice='1 1 [\"para\",{\"tagName\":\"p\",\"attributes\":{\"style\":\"line-height: 1.75em; margin-left: 8px; margin-right: 8px; text-indent: 0px;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"}]'>\u00a0\u7684\u8868\u73b0\u4e0e\u00a0<\/span><span data-pm-slice='1 1 [\"para\",{\"tagName\":\"p\",\"attributes\":{\"style\":\"line-height: 1.75em; margin-left: 8px; margin-right: 8px; text-indent: 0px;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"}]'>Thinking<\/span><span data-pm-slice='1 1 [\"para\",{\"tagName\":\"p\",\"attributes\":{\"style\":\"line-height: 1.75em; margin-left: 8px; margin-right: 8px; text-indent: 0px;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"}]'>\u00a0\u76f8\u5f53\uff0c\u4f46 token \u4f7f\u7528\u91cf\u5374\u6bd4\u00a0<\/span><span data-pm-slice='1 1 [\"para\",{\"tagName\":\"p\",\"attributes\":{\"style\":\"line-height: 1.75em; margin-left: 8px; margin-right: 8px; text-indent: 0px;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"}]'>Thinking<\/span><span data-pm-slice='1 1 [\"para\",{\"tagName\":\"p\",\"attributes\":{\"style\":\"line-height: 1.75em; margin-left: 8px; margin-right: 8px; text-indent: 0px;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"}]'>\u00a0\u5c11 2.0\u20135.1 \u500d\u3002\u5728 AIME24\u3001AIME25 \u548c LiveCodeBench \u4e0a\uff0c<\/span><span data-pm-slice='1 1 [\"para\",{\"tagName\":\"p\",\"attributes\":{\"style\":\"line-height: 1.75em; margin-left: 8px; margin-right: 8px; text-indent: 0px;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"}]'>Thinking<\/span><span data-pm-slice='1 1 [\"para\",{\"tagName\":\"p\",\"attributes\":{\"style\":\"line-height: 1.75em; margin-left: 8px; margin-right: 8px; text-indent: 0px;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"}]'>\u00a0\u548c\u00a0<\/span><span data-pm-slice='1 1 [\"para\",{\"tagName\":\"p\",\"attributes\":{\"style\":\"line-height: 1.75em; margin-left: 8px; margin-right: 8px; text-indent: 0px;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"}]'>NoThinking<\/span><span data-pm-slice='1 1 [\"para\",{\"tagName\":\"p\",\"attributes\":{\"style\":\"line-height: 1.75em; margin-left: 8px; margin-right: 8px; text-indent: 0px;\"},\"namespaceURI\":\"http:\/\/www.w3.org\/1999\/xhtml\"}]'>\u00a0\u90fd\u663e\u8457\u4f18\u4e8e Qwen-Instruct\u3002\u7136\u800c\uff0c\u5728 AMC23 \u548c OlympiadBench \u4e0a\uff0cQwen-Instruct \u4e5f\u7f29\u5c0f\u4e86\u4e0e Thinking \u548c NoThinking \u7684\u5dee\u8ddd\u3002<\/span><\/p>\n<p>\u5728<strong> token \u9884\u7b97\u63a7\u5236<\/strong>\u4e0b\u7684\u60c5\u51b5\u4e0b\u5bf9 Thinking \u548c NoThinking \u8fdb\u884c\u5bf9\u6bd4<\/p>\n<p>\u9664 MiniF2F \u548c ProofNet \u5916\uff0cNoThinking \u5728\u5176\u4ed6\u6570\u636e\u96c6\u4e0a\u7684\u8868\u73b0\u867d\u7a0d\u900a\u4e8e Thinking\uff0c\u4f46\u5176 token \u6d88\u8017\u91cf\u4e5f\u663e\u8457\u66f4\u4f4e\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u63a5\u4e0b\u6765\u7ee7\u7eed\u901a\u8fc7\u9884\u7b97\u7ea6\u675f\u65b9\u6cd5\uff0c\u5728\u76f8\u8fd1 token \u9884\u7b97\u4e0b\u6bd4\u8f83\u4e24\u8005\u7684\u6027\u80fd\u8868\u73b0\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-fec471d793ae414da78ec100b0a082b9.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-fec471d793ae414da78ec100b0a082b9.png\"><\/a><\/p>\n<p>\u5982\u56fe 5 \u6240\u793a\uff0c\u5f53 token \u4f7f\u7528\u91cf\u53d7\u5230\u63a7\u5236\u65f6\uff0cNoThinking \u65b9\u6cd5\u901a\u5e38\u4f18\u4e8e Thinking \u65b9\u6cd5\u3002\u7279\u522b\u662f\u5728\u4f4e\u9884\u7b97\u8bbe\u7f6e\u4e0b\uff08\u4f8b\u5982\uff0c\u4f7f\u7528\u7684 token \u6570\u5c11\u4e8e\u7ea6 3000 \u4e2a\uff09\uff0c\u5728\u6240\u6709\u7684 k \u503c\u60c5\u51b5\u4e0b\uff0cNoThinking \u65b9\u6cd5\u59cb\u7ec8\u6bd4 Thinking \u65b9\u6cd5\u53d6\u5f97\u66f4\u597d\u7684\u7ed3\u679c\uff0c\u5e76\u4e14\u968f\u7740 k \u503c\u7684\u589e\u52a0\uff0c\u6027\u80fd\u5dee\u8ddd\u4f1a\u8fdb\u4e00\u6b65\u6269\u5927\u3002\u5f53 token \u4f7f\u7528\u91cf\u8f83\u9ad8\u65f6\uff08\u4f8b\u5982\uff0c\u5927\u7ea6 3500 \u4e2a token\uff09\uff0c\u5728\u5355\u6837\u672c\u51c6\u786e\u7387 (pass@1\uff09\u65b9\u9762\uff0cThinking \u65b9\u6cd5\u7684\u8868\u73b0\u4f18\u4e8e NoThinking \u65b9\u6cd5\uff0c\u4f46\u4ece k = 2 \u5f00\u59cb\uff0cNoThinking \u65b9\u6cd5\u7684\u8868\u73b0\u5c31\u8fc5\u901f\u8d85\u8fc7\u4e86 Thinking \u65b9\u6cd5\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-3f2336b6b86b2544d4de9ce39a24e117.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-3f2336b6b86b2544d4de9ce39a24e117.png\"><\/a><\/p>\n<p>\u56fe 6 \u901a\u8fc7\u5c06 token \u4f7f\u7528\u91cf\u7ed8\u5236\u5728\u6a2a\u8f74\u4e0a\uff0c\u8fdb\u4e00\u6b65\u8bf4\u660e\u4e86\u8fd9\u4e9b\u7ed3\u679c\uff0c\u540c\u65f6\u6bd4\u8f83\u4e86\u5355\u6837\u672c\u51c6\u786e\u7387\uff08pass@1\uff09\u548c\u5728\u53ef\u7528\u6700\u5927 k \u503c\u4e0b\u7684\u591a\u6837\u672c\u51c6\u786e\u7387\uff08pass@k\uff09\u3002\u5728\u591a\u6837\u672c\u51c6\u786e\u7387\uff08pass@k\uff09\u65b9\u9762\uff0cNoThinking \u65b9\u6cd5\u5728\u6574\u4e2a\u9884\u7b97\u8303\u56f4\u5185\u59cb\u7ec8\u65e0\u4e00\u4f8b\u5916\u5730\u4f18\u4e8e Thinking \u65b9\u6cd5\u3002\u5bf9\u4e8e\u5355\u6837\u672c\u51c6\u786e\u7387\uff08pass@1\uff09\u800c\u8a00\uff0cNoThinking \u65b9\u6cd5\u5728\u4f4e\u9884\u7b97\u60c5\u51b5\u4e0b\u8868\u73b0\u66f4\u597d\uff0c\u800c\u5728\u9ad8\u9884\u7b97\u60c5\u51b5\u4e0b\u8868\u73b0\u8f83\u5dee\u3002\u5b9e\u65f6\u7f16\u7801\u57fa\u51c6\u6d4b\u8bd5\u662f\u4e2a\u4f8b\u5916\uff0c\u5728\u8be5\u57fa\u51c6\u6d4b\u8bd5\u4e2d\uff0c\u5373\u4f7f\u662f\u5728\u4f4e\u9884\u7b97\u60c5\u51b5\u4e0b\uff0cThinking \u65b9\u6cd5\u5728\u5355\u6837\u672c\u51c6\u786e\u7387\uff08pass@1\uff09\u65b9\u9762\u4e5f\u4f18\u4e8e NoThinking \u65b9\u6cd5\u3002\u8fd9\u5f88\u53ef\u80fd\u662f\u56e0\u4e3a\u5728\u5b9e\u65f6\u7f16\u7801\u57fa\u51c6\u6d4b\u8bd5\u4e0a\uff0c\u7981\u7528\u601d\u8003\u6a21\u5757\u5e76\u4e0d\u80fd\u663e\u8457\u51cf\u5c11 token \u4f7f\u7528\u91cf\u3002<\/p>\n<p>\u4e3a\u4e86\u964d\u4f4e\u6570\u636e\u6c61\u67d3\u7684\u98ce\u9669\uff0c\u5b9e\u9a8c\u8fd8\u7eb3\u5165\u4e86\u65b0\u53d1\u5e03\u7684 \u00a0AIME 2025 \uff0c\u8fd9\u4e9b\u6570\u636e\u4e0d\u592a\u53ef\u80fd\u51fa\u73b0\u5728\u73b0\u6709\u6a21\u578b\u7684\u9884\u8bad\u7ec3\u6570\u636e\u4e2d\u3002\u91cd\u8981\u7684\u662f\uff0c\u5728\u65b0\u7684\u57fa\u51c6\u6d4b\u8bd5\u548c\u5df2\u6709\u7684\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u90fd\u5f97\u5230\u4e86\u4e00\u81f4\u7684\u7ed3\u679c\uff0c\u8fd9\u8868\u660e\u7814\u7a76\u6240\u89c2\u5bdf\u5230\u7684\u8d8b\u52bf\u5e76\u975e\u662f\u6a21\u578b\u8bb0\u5fc6\u7684\u4ea7\u7269\uff0c\u800c\u662f\u53cd\u6620\u4e86\u6a21\u578b\u5177\u6709\u53ef\u6cdb\u5316\u7684\u884c\u4e3a\u8868\u73b0\u3002<\/p>\n<p><strong>\u589e\u5927 k \u503c\u5bf9 NoThinking \u65b9\u6cd5\u6027\u80fd\u7684\u5f71\u54cd<\/strong><\/p>\n<p>\u8be5\u56e2\u961f\u7814\u7a76\u4e86\u968f\u7740 k \u503c\u589e\u52a0\uff0c\u6240\u89c2\u5bdf\u5230\u7684 NoThinking \u65b9\u6cd5\u6027\u80fd\u53d8\u5316\u7684\u6f5c\u5728\u539f\u56e0\uff0c\u4ed6\u4eec\u91cd\u70b9\u5173\u6ce8\u4e86\u751f\u6210\u7b54\u6848\u7684\u591a\u6837\u6027\u3002\u8fd9\u662f\u901a\u8fc7\u8ba1\u7b97\u6bcf\u4e2a\u95ee\u9898\u7684\u7b54\u6848\u5206\u5e03\u7684\u71b5\u6765\u8861\u91cf\u7684\u3002\u5177\u4f53\u800c\u8a00\uff0c\u5bf9\u4e8e\u7b54\u6848\u5206\u5e03\u4e3a<a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-fae9a0ce4bb1f6d2a7640224ee17385f.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-fae9a0ce4bb1f6d2a7640224ee17385f.png\"><\/a>\u7684\u4e00\u4e2a\u95ee\u9898\uff0c\u71b5\u7684\u5b9a\u4e49\u4e3a\uff1a<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-d874261b691a195c2252fb03f5f4a65d.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-d874261b691a195c2252fb03f5f4a65d.png\"><\/a><\/p>\n<p>\u5176\u4e2d p_i \u662f\u7b2c i \u4e2a\u72ec\u7279\u7b54\u6848\u7684\u7ecf\u9a8c\u6982\u7387\u3002\u7136\u540e\uff0c\u4f7f\u7528\u6240\u6709\u95ee\u9898\u7684\u71b5\u7684\u5747\u503c\u548c\u6807\u51c6\u5dee\u6765\u603b\u7ed3\u591a\u6837\u6027\u3002\u5747\u503c\u71b5\u8d8a\u9ad8\u8868\u660e\u603b\u4f53\u591a\u6837\u6027\u8d8a\u5927\uff0c\u800c\u6807\u51c6\u5dee\u8d8a\u4f4e\u5219\u610f\u5473\u7740\u5404\u4e2a\u95ee\u9898\u4e4b\u95f4\u7684\u591a\u6837\u6027\u66f4\u4e3a\u4e00\u81f4\u3002\u8fd9\u4e9b\u5206\u6790\u57fa\u4e8e\u56fe 5 \u4e2d Thinking \u65b9\u6cd5\u4e0e NoThinking \u65b9\u6cd5\u7684\u5bf9\u6bd4\u60c5\u51b5\uff0c\u4f46\u4e0d\u5305\u62ec\u7f3a\u5c11\u786e\u5207\u7b54\u6848\u7684\u5b9e\u65f6\u7f16\u7801\u57fa\u51c6\u6d4b\u8bd5\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-b0de0242fb3f3ee0cc2b3601a98be20a.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-b0de0242fb3f3ee0cc2b3601a98be20a.png\"><\/a><\/p>\n<p>\u4ece\u8868 1 \u53ef\u4ee5\u770b\u5230\uff0c\u5c31\u5e73\u5747\u591a\u6837\u6027\u800c\u8a00\uff0c\u4e24\u79cd\u6a21\u5f0f\u90fd\u6ca1\u6709\u59cb\u7ec8\u5982\u4e00\u7684\u4f18\u52bf\u3002\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c NoThinking \u6a21\u5f0f\u5f97\u51fa\u7684\u5e73\u5747\u71b5\u66f4\u9ad8\uff1b\u800c\u5728\u53e6\u4e00\u4e9b\u60c5\u51b5\u4e0b\uff0c Thinking \u00a0\u6a21\u5f0f\u7684\u5e73\u5747\u71b5\u66f4\u9ad8\u3002\u7136\u800c\uff0c NoThinking \u6a21\u5f0f\u5728\u5404\u4e2a\u95ee\u9898\u4e0a\u59cb\u7ec8\u8868\u73b0\u51fa\u66f4\u4f4e\u7684\u65b9\u5dee\uff0c\u8fd9\u8868\u660e NoThinking \u6a21\u5f0f\u751f\u6210\u7684\u7b54\u6848\u5728\u4e0d\u540c\u793a\u4f8b\u4e4b\u95f4\u5177\u6709\u66f4\u5747\u5300\u7684\u591a\u6837\u6027\u3002\u7814\u7a76\u8005\u4eec\u63a8\u6d4b\uff0c\u8fd9\u79cd\u591a\u6837\u6027\u4e00\u81f4\u6027\u7684\u63d0\u9ad8\u53ef\u80fd\u662f\u968f\u7740 k \u503c\u589e\u52a0\uff0c NoThinking \u6a21\u5f0f\u5728\u591a\u6837\u672c\u51c6\u786e\u7387\uff08pass@k\uff09\u4e0a\u8868\u73b0\u63d0\u5347\u7684\u4e00\u4e2a\u539f\u56e0\uff0c\u5c3d\u7ba1\u4ec5\u9760\u591a\u6837\u6027\u5e76\u4e0d\u80fd\u5b8c\u5168\u89e3\u91ca\u6027\u80fd\u5dee\u5f02\u3002<\/p>\n<p><strong>NoThinking \u65b9\u6cd5\u4f7f\u6d4b\u8bd5\u9636\u6bb5\u7684\u5e76\u884c\u8ba1\u7b97\u66f4\u52a0\u9ad8\u6548<\/strong><\/p>\n<p><strong>\u5e76\u884c scaling \u4e0e\u987a\u5e8f scaling<\/strong><\/p>\n<p>\u5e76\u884c scaling \u672c\u8d28\u4e0a\u80fd\u591f\u5b9e\u73b0\u4f4e\u5ef6\u8fdf\uff0c\u56e0\u4e3a\u591a\u4e2a\u6a21\u578b\u8c03\u7528\u53ef\u4ee5\u540c\u65f6\u6267\u884c \u2014\u2014 \u65e0\u8bba\u662f\u901a\u8fc7\u5e94\u7528\u7a0b\u5e8f\u7f16\u7a0b\u63a5\u53e3\u8c03\u7528\u8fd8\u662f\u672c\u5730\u6a21\u578b\u670d\u52a1\u6765\u5b9e\u73b0\u3002\u8fd9\u53ef\u4ee5\u901a\u8fc7\u591a GPU \u8bbe\u7f6e\u6216\u8005\u5728\u5355\u4e2a GPU \u4e0a\u8fdb\u884c\u6279\u5904\u7406\u6765\u8fbe\u6210\uff0c\u4e0e\u987a\u5e8f scaling \u76f8\u6bd4\uff0c\u8fd9\u79cd\u65b9\u5f0f\u80fd\u591f\u5b9e\u73b0\u66f4\u9ad8\u7684 GPU \u5229\u7528\u7387\u3002\u603b\u4f53\u5ef6\u8fdf\u7531\u5355\u4e2a\u6700\u957f\u7684\u751f\u6210\u65f6\u95f4\u51b3\u5b9a\u3002<\/p>\n<p>\u9274\u4e8e\u5b9e\u9a8c\u53d1\u73b0 NoThinking \u65b9\u6cd5\u5728\u4f4e\u9884\u7b97\u60c5\u51b5\u4e0b\u80fd\u751f\u6210\u66f4\u51c6\u786e\u7684\u89e3\u51b3\u65b9\u6848\uff0c\u5e76\u4e14\u968f\u7740 k \u503c\u7684\u589e\u52a0\uff0c\u5728\u591a\u6837\u672c\u51c6\u786e\u7387\uff08pass@k\uff09\u65b9\u9762\u7684\u6548\u679c\u8d8a\u6765\u8d8a\u597d\u3002\u8fd9\u8bc1\u660e\u4e86\uff0c\u5f53 NoThinking \u65b9\u6cd5\u4e0e\u7b80\u5355\u7684 \u300c\u4ece N \u4e2a\u4e2d\u9009\u6700\u4f73\uff08Best-of-N\uff09\u300d\u65b9\u6cd5\u76f8\u7ed3\u5408\u65f6\uff0c\u91c7\u7528\u5e76\u884c\u91c7\u6837\u7684 NoThinking \u65b9\u6cd5\u80fd\u663e\u8457\u63d0\u9ad8\u51c6\u786e\u7387\u3002\u5728\u5ef6\u8fdf\u76f8\u5f53\u7684\u60c5\u51b5\u4e0b\uff0c\u5b83\u7684\u8868\u73b0\u4f18\u4e8e\u5176\u4ed6\u65b9\u6cd5\uff0c\u6bd4\u5982\u91c7\u7528\u5f3a\u5236\u9884\u7b97\u548c\u5e76\u884c\u91c7\u6837\u7684 Thinking \u65b9\u6cd5\u3002\u800c\u4e14\uff0c\u5c3d\u7ba1\u5176\u4ea7\u751f\u7684\u5ef6\u8fdf\u8981\u4f4e\u5f97\u591a\uff0c\u4f46\u5b83\u751a\u81f3\u5728\u987a\u5e8f scaling \u7684\u60c5\u51b5\u4e0b\u8d85\u8fc7\u4e86\u5b8c\u6574 Thinking \u65b9\u6cd5\uff08\u5373\u4e0d\u91c7\u7528\u5f3a\u5236\u9884\u7b97\u7684 Thinking \u65b9\u6cd5\uff09\u7684\u5355\u6837\u672c\u51c6\u786e\u7387\uff08pass@1\uff09\u6027\u80fd\u3002<\/p>\n<p><strong>\u7ed3\u679c<\/strong><\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-6a00afe4c10eac438026008e0b6e7611.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-6a00afe4c10eac438026008e0b6e7611.png\"><\/a><\/p>\n<p>\u56fe 7 \u4e2d\u5c55\u793a\u4e86 Thinking \u65b9\u6cd5\u548c NoThinking \u65b9\u6cd5\u5728\u6240\u6709\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u7684\u5355\u6837\u672c\u51c6\u786e\u7387\uff08pass@1\uff09\u7ed3\u679c\u3002\u5355\u4e2a\u91c7\u6837\u54cd\u5e94\u7684\u6027\u80fd\u88ab\u79f0\u4e3a\u65e0\u5e76\u884c scaling \u60c5\u51b5\u4e0b\u7684\u5355\u6837\u672c\u51c6\u786e\u7387\uff08pass@1\uff09\uff0c\u800c\u5bf9\u591a\u4e2a\u6837\u672c\u8fdb\u884c \u300c\u4ece N \u4e2a\u4e2d\u9009\u6700\u4f73\u300d\u9009\u62e9\u540e\u7684\u51c6\u786e\u7387\u5219\u88ab\u89c6\u4e3a\u6709\u5e76\u884c scaling \u60c5\u51b5\u4e0b\u7684\u5355\u6837\u672c\u51c6\u786e\u7387\uff08pass@1\uff09\u3002\u5bf9\u4e8e\u6ca1\u6709\u9a8c\u8bc1\u5668\u7684\u4efb\u52a1\uff0c\u5728\u56fe\u4e2d\u4f7f\u7528\u57fa\u4e8e\u7f6e\u4fe1\u5ea6\u7684\u7ed3\u679c\uff0c\u5e76\u5728\u8868 2 \u4e2d\u7ed9\u51fa\u9009\u5b9a\u5b9e\u9a8c\u7684\u6d88\u878d\u5b9e\u9a8c\u7ed3\u679c\u3002\u8be5\u8868\u6bd4\u8f83\u4e86\u4e0a\u8ff0\u8ba8\u8bba\u7684\u300c\u4ece N \u4e2a\u4e2d\u9009\u6700\u4f73\u300d\u65b9\u6cd5\u3002\u57fa\u4e8e\u7f6e\u4fe1\u5ea6\u7684\u9009\u62e9\u65b9\u6cd5\u901a\u5e38\u4f18\u4e8e\u591a\u6570\u6295\u7968\u6cd5\u3002\u8fd8\u62a5\u544a\u4e86\u591a\u6837\u672c\u51c6\u786e\u7387\uff08pass@k\uff09\uff0c\u5c06\u5176\u4f5c\u4e3a\u4f7f\u7528\u5e76\u884c scaling \u65f6\u5355\u6837\u672c\u51c6\u786e\u7387\uff08pass@1\uff09\u7684\u4e0a\u9650\u3002<\/p>\n<p>NoThinking \u65b9\u6cd5\u4e0e\u5e76\u884c scaling \u76f8\u7ed3\u5408\uff0c\u4e3a\u4f20\u7edf\u7684\u987a\u5e8f\u65b9\u6cd5\u63d0\u4f9b\u4e86\u4e00\u79cd\u9ad8\u6548\u7684\u66ff\u4ee3\u65b9\u6848\uff0c\u80fd\u591f\u5728\u663e\u8457\u964d\u4f4e\u5ef6\u8fdf\u548c token \u4f7f\u7528\u91cf\u7684\u60c5\u51b5\u4e0b\uff0c\u8fbe\u5230\u76f8\u4f3c\u751a\u81f3\u66f4\u597d\u7684\u51c6\u786e\u7387\u3002\u5982\u56fe 7 \u7684\u524d\u4e24\u4e2a\u56fe\u6240\u793a\uff0cNoThinking \u65b9\u6cd5\u5b9e\u73b0\u4e86\u4e0e Thinking \u65b9\u6cd5\u76f8\u5f53\u751a\u81f3\u66f4\u9ad8\u7684\u6027\u80fd\uff0c\u540c\u65f6\u5ef6\u8fdf\u8981\u4f4e\u5f97\u591a\u3002\u5728\u6ca1\u6709\u5e76\u884c scaling \u7684\u60c5\u51b5\u4e0b\uff0cNoThinking \u65b9\u6cd5\u5728\u51c6\u786e\u7387\u4e0a\u4e0e Thinking \u65b9\u6cd5\u76f8\u8fd1\uff0c\u800c\u5ef6\u8fdf\u4ec5\u4e3a\u540e\u8005\u7684\u4e00\u5c0f\u90e8\u5206\u3002<\/p>\n<p><a href=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-f66dfc3d3f180dcb53a8bf1f607d34b3.png\" data-fancybox=\"images\" data-fancybox=\"gallery\"><img decoding=\"async\" src=\"https:\/\/17aitech.com\/wp-content\/uploads\/2025\/04\/frc-f66dfc3d3f180dcb53a8bf1f607d34b3.png\"><\/a><\/p>\n<p>\u5982\u679c\u6709\u4e00\u4e2a\u5b8c\u7f8e\u7684\u9a8c\u8bc1\u5668\u53ef\u7528\uff0c\u90a3\u4e48\u4ece k \u4e2a\u91c7\u6837\u54cd\u5e94\u4e2d\u9009\u62e9\u6700\u4f73\u7684\u4e00\u4e2a\u5c31\u80fd\u5b9e\u73b0 pass@k \u51c6\u786e\u5ea6\u3002\u5f53\u4e0e\u5e76\u884c scaling \u7ed3\u5408\u4f7f\u7528\u65f6\uff0cNoThinking \u65b9\u6cd5\u5728\u51c6\u786e\u7387\u4e0a\u4e0e\u4e0d\u91c7\u7528\u5f3a\u5236\u9884\u7b97\u4e14\u4e0d\u8fdb\u884c\u5e76\u884c scaling \u7684 Thinking \u65b9\u6cd5\uff08\u8fd9\u662f\u5177\u6709\u4ee3\u8868\u6027\u7684\u987a\u5e8f scaling \u57fa\u7ebf\uff09\u76f8\u5f53\uff0c\u540c\u65f6\u5c06\u5ef6\u8fdf\u964d\u4f4e\u5230\u539f\u6765\u7684\u4e03\u5206\u4e4b\u4e00\u3002\u6b64\u5916\uff0c\u5728 MiniF2F \u548c ProofNet \u8fd9\u4e24\u4e2a\u6570\u636e\u96c6\u4e0a\uff0cNoThinking \u65b9\u6cd5\u4f7f\u7528\u7684\u8f93\u51fa token \u6570\u91cf\u51cf\u5c11\u4e86\u56db\u5206\u4e4b\u4e09\uff0c\u5374\u5b9e\u73b0\u4e86\u76f8\u540c\u7684\u51c6\u786e\u7387\uff0c\u8fd9\u51f8\u663e\u4e86\u5b83\u7684\u8ba1\u7b97\u6548\u7387\u3002\u8fd9\u4e9b\u7ed3\u679c\u5f3a\u8c03\u4e86\u5728\u6709\u9a8c\u8bc1\u5668\u53ef\u7528\u7684\u60c5\u51b5\u4e0b\uff0c\u5e76\u884c\u91c7\u6837\u7684\u6709\u6548\u6027\u3002<\/p>\n<p>\u5f53 NoThinking \u65b9\u6cd5\u4e0e\u5e76\u884c scaling \u4ee5\u53ca\u57fa\u4e8e\u7f6e\u4fe1\u5ea6\u7684\u9009\u62e9\u65b9\u6cd5\u76f8\u7ed3\u5408\u65f6\uff0c\u5728\u5927\u591a\u6570\u57fa\u51c6\u6d4b\u8bd5\u4e2d\uff0c\u5b83\u5728\u4f4e token \u9884\u7b97\u7684\u60c5\u51b5\u4e0b\u59cb\u7ec8\u4f18\u4e8e Thinking \u65b9\u6cd5\u3002\u56fe 7\uff08\u6700\u540e\u4e94\u4e2a\u56fe\uff09\u5c55\u793a\u4e86\u57fa\u4e8e\u7f6e\u4fe1\u5ea6\u9009\u62e9\u65b9\u6cd5\u5728\u591a\u4e2a\u57fa\u51c6\u6d4b\u8bd5\u4e2d\u7684\u7ed3\u679c\uff0c\u6bd4\u8f83\u4e86\u5728\u53d7\u63a7 token \u4f7f\u7528\u91cf\u60c5\u51b5\u4e0b Thinking \u65b9\u6cd5\u548c NoThinking \u65b9\u6cd5\u7684\u8868\u73b0\u3002<\/p>\n<p>\u5173\u6ce8\u4f4e\u9884\u7b97\u60c5\u51b5\u6709\u4e24\u4e2a\u539f\u56e0\uff1a\uff081\uff09\u8fd9\u7b26\u5408\u6211\u4eec\u5bf9\u9ad8\u6548\u63a8\u7406\u7684\u4e3b\u8981\u7814\u7a76\u5174\u8da3\uff1b\uff082\uff09\u5982\u679c\u5c06\u6700\u5927 token \u6570\u8bbe\u7f6e\u5f97\u8fc7\u9ad8\uff0c\u901a\u5e38\u4f1a\u5bfc\u81f4\u8f93\u51fa\u5185\u5bb9\u8fc7\u957f\u4e14\u4e0d\u8fde\u8d2f\uff08\u300c\u80e1\u8a00\u4e71\u8bed\u300d\uff09\uff0c\u8fd9\u4f1a\u589e\u52a0\u5ef6\u8fdf\u5e76\u964d\u4f4e\u6bd4\u8f83\u7684\u4ef7\u503c\u3002<\/p>\n<p>\u6b63\u5982\u9884\u671f\u7684\u90a3\u6837\uff0c\u5e76\u884c scaling \u63d0\u9ad8\u4e86 Thinking \u65b9\u6cd5\u548c NoThinking \u65b9\u6cd5\u7684\u5355\u6837\u672c\u51c6\u786e\u7387\uff08pass@1\uff09\u6027\u80fd\u3002\u7136\u800c\uff0c\u5728\u6240\u6709\u6570\u5b66\u57fa\u51c6\u6d4b\u8bd5\u4e2d\uff0cNoThinking 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