{"id":78,"date":"2025-06-18T23:01:51","date_gmt":"2025-06-18T15:01:51","guid":{"rendered":"http:\/\/116.62.30.57\/?p=78"},"modified":"2025-06-18T23:01:52","modified_gmt":"2025-06-18T15:01:52","slug":"%e5%8a%a8%e6%80%81%e8%a7%84%e5%88%92","status":"publish","type":"post","link":"https:\/\/qiuqiqaq.fun\/index.php\/2025\/06\/18\/%e5%8a%a8%e6%80%81%e8%a7%84%e5%88%92\/","title":{"rendered":"\u52a8\u6001\u89c4\u5212"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u4ec0\u4e48\u662f\u52a8\u6001\u89c4\u5212\uff1f<\/h2>\n\n\n\n<p>\u52a8\u6001\u89c4\u5212\u542c\u8d77\u6765\u5f88\u9ad8\u6df1\uff0c\u4f46\u5176\u5b9e\u5c31\u662f\u4e00\u79cd&#8221;\u5077\u61d2&#8221;\u7684\u806a\u660e\u7b97\u6cd5\u3002\u5b83\u7684\u6838\u5fc3\u601d\u60f3\u662f\uff1a<strong><span style=\"color: red;\">\u907f\u514d\u91cd\u590d\u8ba1\u7b97\uff0c\u628a\u590d\u6742\u95ee\u9898\u62c6\u89e3\u6210\u5c0f\u95ee\u9898\u6765\u89e3\u51b3<\/span>\u3002<\/strong><\/p>\n\n\n\n<p>\u60f3\u8c61\u4f60\u5728\u722c\u697c\u68af\uff0c\u6bcf\u6b21\u53ef\u4ee5\u722c1\u6b65\u62162\u6b65\u3002\u5982\u679c\u8981\u722c\u5230\u7b2c10\u5c42\uff0c\u4f60\u53ef\u80fd\u4f1a\u8fd9\u6837\u60f3\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5230\u7b2c10\u5c42 = \u4ece\u7b2c9\u5c42\u722c1\u6b65 + \u4ece\u7b2c8\u5c42\u722c2\u6b65<\/li>\n\n\n\n<li>\u5230\u7b2c9\u5c42 = \u4ece\u7b2c8\u5c42\u722c1\u6b65 + \u4ece\u7b2c7\u5c42\u722c2\u6b65<\/li>\n\n\n\n<li>&#8230;<\/li>\n<\/ul>\n\n\n\n<p>\u4f60\u53d1\u73b0\u4e86\u5417\uff1f\u8ba1\u7b97\u7b2c10\u5c42\u65f6\u9700\u8981\u77e5\u9053\u7b2c8\u5c42\u7684\u65b9\u6848\u6570\uff0c\u8ba1\u7b97\u7b2c9\u5c42\u65f6\u4e5f\u9700\u8981\u7b2c8\u5c42\u7684\u65b9\u6848\u6570\u3002\u5982\u679c\u6bcf\u6b21\u90fd\u91cd\u65b0\u8ba1\u7b97\u7b2c8\u5c42\uff0c\u5c31\u4f1a\u505a\u5f88\u591a\u91cd\u590d\u5de5\u4f5c\u3002<\/p>\n\n\n\n<p>\u53c8\u5982\u4e0b\u9762\u7684\u4f8b\u5b50\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A \uff1a &#8220;1+1+1+1+1+1+1+1 =\uff1f&#8221;<\/li>\n\n\n\n<li>A \uff1a &#8220;\u4e0a\u9762\u7b49\u5f0f\u7684\u503c\u662f\u591a\u5c11&#8221;<\/li>\n\n\n\n<li>B \uff1a \u8ba1\u7b97 &#8220;8&#8221;<\/li>\n\n\n\n<li>A : \u5728\u4e0a\u9762\u7b49\u5f0f\u7684\u5de6\u8fb9\u5199\u4e0a &#8220;1+&#8221; \u5462\uff1f<\/li>\n\n\n\n<li>A : &#8220;\u6b64\u65f6\u7b49\u5f0f\u7684\u503c\u4e3a\u591a\u5c11&#8221;<\/li>\n\n\n\n<li>B : \u5f88\u5feb\u5f97\u51fa\u7b54\u6848 &#8220;9&#8221;<\/li>\n\n\n\n<li>A : &#8220;\u4f60\u600e\u4e48\u8fd9\u4e48\u5feb\u5c31\u77e5\u9053\u7b54\u6848\u4e86&#8221;<\/li>\n\n\n\n<li>A : &#8220;\u53ea\u8981\u57288\u7684\u57fa\u7840\u4e0a\u52a01\u5c31\u884c\u4e86&#8221;<\/li>\n\n\n\n<li>A : &#8220;\u6240\u4ee5\u4f60\u4e0d\u7528\u91cd\u65b0\u8ba1\u7b97\uff0c\u56e0\u4e3a\u4f60\u8bb0\u4f4f\u4e86\u7b2c\u4e00\u4e2a\u7b49\u5f0f\u7684\u503c\u4e3a8!\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u4e5f\u53ef\u4ee5\u8bf4\u662f &#8216;\u8bb0\u4f4f\u6c42\u8fc7\u7684\u89e3\u6765\u8282\u7701\u65f6\u95f4'&#8221;<\/li>\n<\/ul>\n\n\n\n<p>\u52a8\u6001\u89c4\u5212\u5c31\u662f\u628a\u8fd9\u4e9b\u4e2d\u95f4\u7ed3\u679c\u8bb0\u5f55\u4e0b\u6765\uff0c\u9700\u8981\u65f6\u76f4\u63a5\u67e5\u8868\uff0c\u4e0d\u7528\u91cd\u590d\u8ba1\u7b97\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u52a8\u6001\u89c4\u5212\u7684\u4e09\u4e2a\u5173\u952e\u8981\u7d20<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6700\u4f18\u5b50\u7ed3\u6784<\/strong>\uff1a\u5927\u95ee\u9898\u53ef\u4ee5\u5206\u89e3\u4e3a\u5c0f\u95ee\u9898\uff0c\u5927\u95ee\u9898\u7684\u6700\u4f18\u89e3\u5305\u542b\u5c0f\u95ee\u9898\u7684\u6700\u4f18\u89e3<\/li>\n\n\n\n<li><strong>\u91cd\u53e0\u5b50\u95ee\u9898<\/strong>\uff1a\u5728\u5206\u89e3\u8fc7\u7a0b\u4e2d\uff0c\u4f1a\u53cd\u590d\u9047\u5230\u76f8\u540c\u7684\u5c0f\u95ee\u9898<\/li>\n\n\n\n<li><strong>\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b<\/strong>\uff1a\u63cf\u8ff0\u95ee\u9898\u4e4b\u95f4\u5173\u7cfb\u7684\u6570\u5b66\u516c\u5f0f<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">\u7ecf\u5178\u5b9e\u4f8b\uff1a\u6590\u6ce2\u90a3\u5951\u6570\u5217<\/h2>\n\n\n\n<p>\u6590\u6ce2\u90a3\u5951\u6570\u5217\uff1a1, 1, 2, 3, 5, 8, 13, 21&#8230; \u89c4\u5f8b\uff1aF(n) = F(n-1) + F(n-2)<\/p>\n\n\n\n<p><strong>\u666e\u901a\u9012\u5f52\u65b9\u6cd5<\/strong>\uff08\u6548\u7387\u4f4e\uff09\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>python<code>def fib_recursive(n):\n    if n &lt;= 2:\n        return 1\n    return fib_recursive(n-1) + fib_recursive(n-2)<\/code><\/code><\/pre>\n\n\n\n<p>\u95ee\u9898\uff1a\u8ba1\u7b97F(5)\u65f6\uff0cF(3)\u4f1a\u88ab\u8ba1\u7b97\u591a\u6b21\uff0c\u9020\u6210\u5927\u91cf\u91cd\u590d\u3002<\/p>\n\n\n\n<p><strong>\u52a8\u6001\u89c4\u5212\u65b9\u6cd5<\/strong>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>python<code>def fib_dp(n):\n    if n &lt;= 2:\n        return 1\n    \n    <em># \u7528\u6570\u7ec4\u5b58\u50a8\u5df2\u8ba1\u7b97\u7684\u7ed3\u679c<\/em>\n    dp = &#91;0] * (n + 1)\n    dp&#91;1] = dp&#91;2] = 1\n    \n    for i in range(3, n + 1):\n        dp&#91;i] = dp&#91;i-1] + dp&#91;i-2]\n    \n    return dp&#91;n]<\/code><\/code><\/pre>\n\n\n\n<p>\u7528\u52a8\u6001\u89c4\u5212\u7684\u601d\u60f3\u53bb\u89e3\u9898\u4e0a\u9762\u95ee\u9898\u5c06\u8fce\u5203\u800c\u89e3\uff0c\u7528\u6570\u7ec4dp\u5b58\u50a8\u5df2\u7ecf\u8ba1\u7b97\u8fc7\u7684\u95ee\u9898\u7684\u7ed3\u679c\uff0c\u540e\u7eed\u8ba1\u7b97\u65f6\u76f4\u63a5\u67e5\u8868\u5373\u53ef\uff0c\u907f\u514d\u91cd\u590d\u8ba1\u7b97\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u52a8\u6001\u89c4\u5212\u7684\u89e3\u9898\u6b65\u9aa4<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u786e\u5b9a\u72b6\u6001<\/strong>\uff1a\u5b9a\u4e49dp\u6570\u7ec4\u7684\u542b\u4e49<\/li>\n\n\n\n<li><strong>\u627e\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b<\/strong>\uff1a\u5f53\u524d\u72b6\u6001\u5982\u4f55\u7531\u4e4b\u524d\u7684\u72b6\u6001\u63a8\u5bfc\u51fa\u6765<\/li>\n\n\n\n<li><strong>\u521d\u59cb\u5316<\/strong>\uff1a\u786e\u5b9a\u8fb9\u754c\u6761\u4ef6<\/li>\n\n\n\n<li><strong>\u786e\u5b9a\u904d\u5386\u987a\u5e8f<\/strong>\uff1a\u901a\u5e38\u662f\u4ece\u5c0f\u5230\u5927<\/li>\n\n\n\n<li><strong>\u8fd4\u56de\u7ed3\u679c<\/strong>\uff1a\u6839\u636e\u9898\u76ee\u8981\u6c42\u8fd4\u56de\u5bf9\u5e94\u7684dp\u503c<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e3a\u4ec0\u4e48\u52a8\u6001\u89c4\u5212\u8fd9\u4e48\u6709\u7528\uff1f<\/h2>\n\n\n\n<p>\u52a8\u6001\u89c4\u5212\u7b97\u6cd5\u5c31\u50cf\u662f\u628a\u4e00\u9053\u6570\u5b66\u9898\u7684\u7b54\u6848\u5199\u5728\u8349\u7a3f\u7eb8\u4e0a\uff0c\u4e0b\u6b21\u9047\u5230\u540c\u6837\u7684\u5c0f\u95ee\u9898\u5c31\u76f4\u63a5\u67e5\u8868\uff0c\u800c\u4e0d\u7528\u91cd\u65b0\u8ba1\u7b97\u3002\u52a8\u6001\u89c4\u5212\u7684\u672c\u8d28\u662f<span style=\"color: red;\"><strong>\u7528\u7a7a\u95f4\u6362\u65f6\u95f4<\/strong><\/span>\uff0c\u901a\u8fc7\u5b58\u50a8\u4e2d\u95f4\u7ed3\u679c\u6765\u907f\u514d\u91cd\u590d\u8ba1\u7b97\uff0c\u8ba9\u539f\u672c\u6307\u6570\u7ea7\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u964d\u5230\u591a\u9879\u5f0f\u7ea7\u522b\u3002<\/p>\n\n\n\n<p>\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u52a8\u6001\u89c4\u5212\u88ab\u79f0\u4e3a&#8221;\u7a0b\u5e8f\u5458\u7684\u5fc5\u4fee\u8bfe&#8221;\u2014\u2014\u5b83\u6559\u4f1a\u6211\u4eec\u5982\u4f55\u806a\u660e\u5730\u89e3\u51b3\u590d\u6742\u95ee\u9898\u3002<\/p>\n\n\n\n<p>\u5982\u679c\u4f60\u8fd8\u6ca1\u6709\u5f04\u61c2\uff0c\u4e0d\u59a8\u6765\u770b\u770b\u8fd9\u4e2a\u89c6\u9891\uff0c\u4e5f\u8bb8\u4f1a\u6709\u6536\u83b7\uff1a<a href=\"https:\/\/www.bilibili.com\/video\/BV1AB4y1w7eT\/\">https:\/\/www.bilibili.com\/video\/BV1AB4y1w7eT\/<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4ec0\u4e48\u662f\u52a8\u6001\u89c4\u5212\uff1f \u52a8\u6001\u89c4\u5212\u542c\u8d77\u6765\u5f88\u9ad8\u6df1\uff0c\u4f46\u5176\u5b9e\u5c31\u662f\u4e00\u79cd&#8221;\u5077\u61d2&#8221;\u7684\u806a\u660e\u7b97\u6cd5\u3002\u5b83\u7684\u6838\u5fc3\u601d\u60f3 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[14,13],"class_list":["post-78","post","type-post","status-publish","format-standard","hentry","category-algorithh","tag-14","tag-13"],"_links":{"self":[{"href":"https:\/\/qiuqiqaq.fun\/index.php\/wp-json\/wp\/v2\/posts\/78","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/qiuqiqaq.fun\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qiuqiqaq.fun\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qiuqiqaq.fun\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/qiuqiqaq.fun\/index.php\/wp-json\/wp\/v2\/comments?post=78"}],"version-history":[{"count":4,"href":"https:\/\/qiuqiqaq.fun\/index.php\/wp-json\/wp\/v2\/posts\/78\/revisions"}],"predecessor-version":[{"id":82,"href":"https:\/\/qiuqiqaq.fun\/index.php\/wp-json\/wp\/v2\/posts\/78\/revisions\/82"}],"wp:attachment":[{"href":"https:\/\/qiuqiqaq.fun\/index.php\/wp-json\/wp\/v2\/media?parent=78"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qiuqiqaq.fun\/index.php\/wp-json\/wp\/v2\/categories?post=78"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qiuqiqaq.fun\/index.php\/wp-json\/wp\/v2\/tags?post=78"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}