{"id":693,"date":"2020-06-23T01:24:40","date_gmt":"2020-06-22T17:24:40","guid":{"rendered":"http:\/\/www.guanhaobo.cn\/?p=693"},"modified":"2020-06-23T01:24:40","modified_gmt":"2020-06-22T17:24:40","slug":"jz10-%e7%9f%a9%e5%bd%a2%e8%a6%86%e7%9b%96","status":"publish","type":"post","link":"https:\/\/www.guanhaobo.cn\/?p=693","title":{"rendered":"JZ10 \u2014 \u77e9\u5f62\u8986\u76d6"},"content":{"rendered":"<h3>\u9898\u76ee\u63cf\u8ff0<\/h3>\n<p>\u6211\u4eec\u53ef\u4ee5\u7528 <code>2*1<\/code> \u7684\u5c0f\u77e9\u5f62\u6a2a\u7740\u6216\u8005\u7ad6\u7740\u53bb\u8986\u76d6\u66f4\u5927\u7684\u77e9\u5f62\u3002\u8bf7\u95ee\u7528n\u4e2a<code>2*1<\/code>\u7684\u5c0f\u77e9\u5f62\u65e0\u91cd\u53e0\u5730\u8986\u76d6\u4e00\u4e2a<code>2*n<\/code>\u7684\u5927\u77e9\u5f62\uff0c\u603b\u5171\u6709\u591a\u5c11\u79cd\u65b9\u6cd5\uff1f<\/p>\n<p>\u6bd4\u5982n=3\u65f6\uff0c2*3\u7684\u77e9\u5f62\u5757\u67093\u79cd\u8986\u76d6\u65b9\u6cd5\uff1a<br \/>\n<img decoding=\"async\" src=\"https:\/\/uploadfiles.nowcoder.com\/images\/20200218\/6384065_1581999858239_64E40A35BE277D7E7C87D4DCF588BE84\" alt=\"\" \/><\/p>\n<h3>\u9898\u76ee\u5206\u6790<\/h3>\n<h4>\u89e3\u6cd5\u4e00\uff08\u63a8\u8350\uff09<\/h4>\n<p>\u624b\u52a8\u8ba1\u7b97\u51fa\u524d\u51e0\u9879\u7684\u7b54\u6848<\/p>\n<pre><code class=\"language-cpp line-numbers\">n=1 1\nn=2 2\nn=3 3\nn=4 5\nn=5 8\n<\/code><\/pre>\n<p>\u6613\u5f97\u6570\u5b66\u89c4\u5f8b<code>f(n) = f(n - 1) + f(n - 2)<\/code><\/p>\n<p>\u6216\u8005\u4f7f\u7528\u4e0b\u9762\u65b9\u6cd5\u8bc1\u660e\uff1a<br \/>\n\u5bf9\u4e8e<code>2*n<\/code>\u7684\u77e9\u5f62\u3002<br \/>\n\u5982\u679c\u628a\u5b83\u5206\u6210<code>2*(n-1)<\/code>\u548c<code>2*1<\/code>\u7684\u77e9\u5f62\uff0c<code>2*1<\/code>\u5171\u67091\u79cd\u65b9\u6848\uff0c\u56e0\u6b64\u5171\u6709<code>f(n-1)<\/code>\u79cd\u65b9\u6848\u3002<br \/>\n\u5982\u679c\u628a\u5b83\u5206\u6210<code>2*(n-2)<\/code>\u548c<code>2*2<\/code>\u7684\u77e9\u5f62\uff0c\u4e3a\u4e86\u907f\u514d\u548c\u524d\u9762\u65b9\u6848\u91cd\u590d\uff0c\u9700\u8981\u4fdd\u8bc1<code>2*2<\/code>\u7684\u77e9\u5f62\u662f\u6a2a\u5411\u7684\u6446\u653e\u65b9\u5f0f\uff0c\u5373\u53ea\u6709\u4e00\u79cd\u6446\u653e\u65b9\u5f0f\u3002\u56e0\u6b64\u5171\u6709<code>f(n-2)<\/code>\u79cd\u65b9\u6848\u3002<br \/>\n\u7efc\u4e0a\u6240\u8ff0\uff0c\u6613\u5f97<code>f(n) = f(n - 1) + f(n - 2)<\/code><\/p>\n<h4>\u89e3\u6cd5\u4e8c<\/h4>\n<p>\u5bf9\u4e8e<code>2*n<\/code>\u7684\u77e9\u5f62\u3002<br \/>\n\u5982\u679c\u628a\u5b83\u5206\u6210<code>2*(n-2)<\/code>\u548c<code>2*2<\/code>\u7684\u77e9\u5f62\uff0c<code>2*2<\/code>\u5171\u67092\u79cd\u65b9\u6848\uff0c\u56e0\u6b64\u5171\u6709<code>2*f(n-2)<\/code>\u79cd\u65b9\u6848\u3002<br \/>\n\u5982\u679c\u628a\u5b83\u5206\u6210<code>2*(n-1)<\/code>\u548c<code>2*1<\/code>\u7684\u77e9\u5f62\uff0c<code>2*1<\/code>\u5171\u67091\u79cd\u65b9\u6848\uff0c\u4f46\u4e3a\u4e86\u9632\u6b62\u4e0e\u524d\u9762\u4e00\u79cd\u60c5\u51b5\u91cd\u590d\uff0c\u9700\u8981\u4fdd\u8bc1<code>2*(n-1)<\/code>\u7684\u524d\u9762<code>2*2<\/code>\u662f\u6a2a\u5411\u7684\u3002\u5373\u6b64\u65f6\u5b9e\u9645\u4e0a\u76f8\u5f53\u4e8e\u628a<code>2*n<\/code>\u5206\u6210\u4e86<code>2*(n-3)<\/code>\u548c<code>2*3<\/code>\u7684\u77e9\u5f62\uff0c\u4e14\u4fdd\u8bc1<code>2*3<\/code>\u7684\u65b9\u6848\u53ea\u6709\u56fa\u5b9a\u7684\u4e00\u79cd\uff0c\u5426\u5219\u5c31\u4f1a\u548c\u524d\u9762\u7684\u65b9\u6848\u91cd\u590d\u3002\u56e0\u6b64\u5171\u6709<code>f(n-3)<\/code>\u79cd\u65b9\u6848\u3002<br \/>\n\u7efc\u4e0a\u6240\u8ff0\uff0c\u6613\u5f97<code>f(n) = 2 * f(n - 2) + f(n - 3)<\/code><\/p>\n<p>\u4e8b\u5b9e\u4e0a\uff0c\u7531\u89e3\u6cd5\u4e00\u7684\u7ed3\u8bba\u53ef\u5f97<code>f(n) = f(n - 1) + f(n - 2) = [f(n - 2) + f(n - 3)] + f(n - 2) = 2 * f(n - 2) + f(n - 3)<\/code><\/p>\n<h4>By the way<\/h4>\n<p>\u6709\u7684\u540c\u5b66\u53ef\u80fd\u4f1a\u6709\u7591\u95ee\u3002<br \/>\n\u8fd9\u91cc\u53ef\u4ee5\u5c06\u77e9\u5f62\u5206\u4e3a<code>2*(n-1) &amp; 2*1<\/code>\u548c<code>2*(n-2) &amp; 2*2<\/code>\u8fd9\u4e24\u79cd\u60c5\u51b5\uff0c\u7136\u540e\u5206\u522b\u8ba8\u8bba\u6c42\u89e3\uff0c\u6700\u540e\u5bf9\u7ed3\u679c\u6c42\u548c\u5c31\u662f\u7b54\u6848\u3002\u90a3\u4e3a\u4ec0\u4e48\u4e0d\u53ef\u4ee5\u5c06\u77e9\u5f62\u5206\u4e3a<code>2*(n-1) &amp; 2*1<\/code>\uff0c<code>2*(n-2) &amp; 2*2<\/code>\uff0c<code>2*(n-3) &amp; 2*3<\/code>\u4e09\u79cd\u60c5\u51b5\uff0c\u751a\u81f3\u66f4\u591a\u60c5\u51b5\uff0c\u7136\u540e\u5bf9\u7ed3\u679c\u6c42\u548c\u5462\uff1f<br \/>\n\u6216\u8005\u8bf4\uff0c\u4e3a\u4ec0\u4e48\u5206\u4e3a\u524d\u9762\u90a3\u4e24\u79cd\u60c5\u51b5\uff0c\u7136\u540e\u5bf9\u7ed3\u679c\u6c42\u548c\u5c31\u6070\u597d\u662f\u7b54\u6848\u5462\uff1f<br \/>\n\u5176\u5b9e\u662f\u56e0\u4e3a\u5206\u4e3a\u8fd9\u4e24\u79cd\u60c5\u51b5\u6070\u597d\u80fd\u4fdd\u8bc1<strong>\u4e0d\u91cd\u4e0d\u6f0f<\/strong>\uff0c\u548c\u9ad8\u4e2d\u6570\u5b66\u6c42\u6392\u5217\u7ec4\u5408\u7c7b\u4f3c\uff0c\u53ea\u8981\u80fd\u4fdd\u8bc1<strong>\u4e0d\u91cd\u4e0d\u6f0f<\/strong>\uff0c\u5206\u591a\u5c11\u79cd\u60c5\u51b5\u90fd\u662fOK\u7684\u3002<\/p>\n<h3>\u4ee3\u7801<\/h3>\n<p>\u5f97\u5230\u4e0a\u8ff0\u6570\u5b66\u7ed3\u8bba\u540e\uff0c\u5199\u4ee3\u7801\u5c31\u7279\u522b\u7b80\u5355\u4e86\uff0c\u9012\u5f52\u3001\u9012\u63a8\u90fd\u53ef\uff0c\u8fd8\u53ef\u4ee5\u8fdb\u884c\u8bb0\u5fc6\u5316\u5b9e\u73b0\u7ed3\u679c\u590d\u7528\u3002<\/p>\n<h4>C++<\/h4>\n<pre><code class=\"language-cpp line-numbers\">class Solution\n{\npublic:\n    int rectCover(int number)\n    {\n        if (number &lt; 4)\n            return number;\n        return 2 * rectCover(number - 2) + rectCover(number - 3);\n    }\n};\n<\/code><\/pre>\n<h4>Java<\/h4>\n<pre><code class=\"language-java line-numbers\">public class Solution {\n    public int RectCover(int target) {\n        if (target &lt; 4)\n            return target;\n        return RectCover(target - 1) + RectCover(target - 2);\n    }\n}\n<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>\u9898\u76ee\u63cf\u8ff0 \u6211\u4eec\u53ef\u4ee5\u7528 2*1 \u7684\u5c0f\u77e9\u5f62\u6a2a\u7740\u6216\u8005\u7ad6\u7740\u53bb\u8986\u76d6\u66f4\u5927\u7684\u77e9\u5f62\u3002\u8bf7\u95ee\u7528n\u4e2a2*1\u7684\u5c0f\u77e9\u5f62\u65e0\u91cd\u53e0\u5730\u8986\u76d6\u4e00\u4e2a2 [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[39,64],"class_list":["post-693","post","type-post","status-publish","format-standard","hentry","category-algo","tag-offer","tag-64"],"_links":{"self":[{"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/posts\/693","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=693"}],"version-history":[{"count":0,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/posts\/693\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=693"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=693"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=693"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}