{"id":402,"date":"2017-03-18T09:57:02","date_gmt":"2017-03-18T01:57:02","guid":{"rendered":"http:\/\/kylelv.com\/?p=402"},"modified":"2018-01-02T12:05:44","modified_gmt":"2018-01-02T04:05:44","slug":"bzoj-4459-jsoi2013%e4%b8%a2%e7%95%aa%e5%9b%be-%e6%95%b0%e5%ad%a6","status":"publish","type":"post","link":"https:\/\/blog.kylelv.com\/?p=402","title":{"rendered":"bzoj 4459: [Jsoi2013]\u4e22\u756a\u56fe  &#8212; \u6570\u5b66"},"content":{"rendered":"<p>&nbsp;<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_73 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-69fdef4516760\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69fdef4516760\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/blog.kylelv.com\/?p=402\/#4459_Jsoi2013%E4%B8%A2%E7%95%AA%E5%9B%BE\" title=\"4459: [Jsoi2013]\u4e22\u756a\u56fe\">4459: [Jsoi2013]\u4e22\u756a\u56fe<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/blog.kylelv.com\/?p=402\/#Description\" title=\"Description\">Description<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/blog.kylelv.com\/?p=402\/#Input\" title=\"Input\">Input<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/blog.kylelv.com\/?p=402\/#Output\" title=\"Output\">Output<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/blog.kylelv.com\/?p=402\/#Sample_Input\" title=\"Sample Input\">Sample Input<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/blog.kylelv.com\/?p=402\/#Sample_Output\" title=\"Sample Output\">Sample Output<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/blog.kylelv.com\/?p=402\/#HINT\" title=\"HINT\">HINT<\/a><\/li><\/ul><\/nav><\/div>\n<h2 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"4459_Jsoi2013%E4%B8%A2%E7%95%AA%E5%9B%BE\"><\/span>4459: [Jsoi2013]\u4e22\u756a\u56fe<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: center;\"><span class=\"green\">Time Limit:\u00a010 Sec\u00a0\u00a0Memory Limit:\u00a064 MB<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Description\"><\/span>Description<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<p>\u4e22\u756a\u56fe\u662f\u4e9a\u5386\u5c71\u5927\u65f6\u671f\u57c3\u53ca\u8457\u540d\u7684\u6570\u5b66\u5bb6\u3002\u4ed6\u662f\u6700\u65e9\u7814\u7a76\u6574\u6570\u7cfb\u6570\u4e0d\u5b9a\u65b9\u7a0b\u7684\u6570\u5b66\u5bb6\u4e4b\u4e00\u3002<br \/>\n\u4e3a\u4e86\u7eaa\u5ff5\u4ed6\uff0c\u8fd9\u4e9b\u65b9\u7a0b\u4e00\u822c\u88ab\u79f0\u4f5c\u4e22\u756a\u56fe\u65b9\u7a0b\u3002\u6700\u8457\u540d\u7684\u4e22\u756a\u56fe\u65b9\u7a0b\u4e4b\u4e00\u662fx^N+y^n=z^N\u3002\u8d39\u9a6c<br \/>\n\u63d0\u51fa\uff0c\u5bf9\u4e8eN&gt;2\uff0cx,y,z\u6ca1\u6709\u6b63\u6574\u6570\u89e3\u3002\u8fd9\u88ab\u79f0\u4e3a\u201c\u8d39\u9a6c\u5927\u5b9a\u7406\u201d\uff0c\u5b83\u7684\u8bc1\u660e\u76f4\u5230\u6700\u8fd1\u624d\u88ab\u5b89\u5fb7<br \/>\n\u9c81\u00b7\u6000\u5c14\u65af\uff08AndrewWiles\uff09\u8bc1\u660e\u3002<br \/>\n\u8003\u8651\u5982\u4e0b\u7684\u4e22\u756a\u56fe\u65b9\u7a0b\uff1a<br \/>\n1\/x+1\/y=1\/n(x,y,n\u5c5e\u4e8eN+)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (1)<br \/>\n\u5c0fG\u5bf9\u4e0b\u9762\u8fd9\u4e2a\u95ee\u9898\u5341\u5206\u611f\u5174\u8da3\uff1a\u5bf9\u4e8e\u4e00\u4e2a\u7ed9\u5b9a\u7684\u6b63\u6574\u6570n\uff0c\u6709\u591a\u5c11\u79cd\u672c\u8d28\u4e0d\u540c\u7684\u89e3\u6ee1\u8db3\u65b9<br \/>\n\u7a0b\uff081\uff09\uff1f\u4f8b\u5982n=4\uff0c\u6709\u4e09\u79cd\u672c\u8d28\u4e0d\u540c(x\u2264y)\u7684\u89e3\uff1a<br \/>\n1\/5+1\/20=1\/4<br \/>\n1\/6+1\/12=1\/4<br \/>\n1\/8+1\/8=1\/4<br \/>\n\u663e\u7136\uff0c\u5bf9\u4e8e\u66f4\u5927\u7684n\uff0c\u6ca1\u6709\u610f\u4e49\u53bb\u5217\u4e3e\u6240\u6709\u672c\u8d28\u4e0d\u540c\u7684\u89e3\u3002\u4f60\u80fd\u5426\u5e2e\u52a9\u5c0fG\u5feb\u901f\u5730\u6c42\u51fa\u5bf9\u4e8e<br \/>\n\u7ed9\u5b9an\uff0c\u6ee1\u8db3\u65b9\u7a0b\uff081\uff09\u7684\u672c\u8d28\u4e0d\u540c\u7684\u89e3\u7684\u4e2a\u6570\uff1f<\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Input\"><\/span>Input<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<p>\u4e00\u884c\uff0c\u4ec5\u4e00\u4e2a\u6574\u6570n\uff081&lt;=N&lt;=10^14)<\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Output\"><\/span>Output<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\">\n<p>\u4e00\u884c\uff0c\u8f93\u51fa\u5bf9\u4e8e\u7ed9\u5b9a\u6574\u6570n\uff0c\u6ee1\u8db3\u65b9\u7a0b\uff081\uff09\u7684\u672c\u8d28\u4e0d\u540c\u7684\u89e3\u7684\u4e2a\u6570\u3002<\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Sample_Input\"><\/span>Sample Input<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\"><span class=\"sampledata\">4<\/span><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Sample_Output\"><\/span>Sample Output<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"content\"><span class=\"sampledata\">3<\/span><\/div>\n<h2><span class=\"ez-toc-section\" id=\"HINT\"><\/span>HINT<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><img decoding=\"async\" src=\"https:\/\/images2015.cnblogs.com\/blog\/1014417\/201703\/1014417-20170316093002135-1779729803.png\" alt=\"\" \/><\/p>\n<p>\u800c\u4e00\u4e2a\u6570\u7684\u7ea6\u6570\u4e2a\u6570\u7b49\u4e8e\u6240\u6709\u8d28\u56e0\u6570\u7684\u6b21\u6570+1\u7684\u4e58\u79ef\u3002<\/p>\n<p>\u7136\u540e\u5c31\u597d\u4e86\u3002<\/p>\n<pre class=\"lang:c++ decode:true \">#include&lt;cmath&gt;\r\n#include&lt;cstdio&gt;\r\n#define ll long long\r\nll ans=1,n;\r\nint m,now;\r\nint main()\r\n{\r\n    scanf(\"%lld\",&amp;n);\r\n    m=sqrt(n+0.5);\r\n    for(int i=2;i&lt;=m&amp;&amp;i&lt;=n;i++)\r\n    {\r\n        now=0;\r\n        while(n%i==0){now++;n\/=i;}\r\n        ans*=now&lt;&lt;1|1;\r\n    }\r\n    if(n&gt;1) ans*=3;\r\n    printf(\"%lld\\n\",ans+1&gt;&gt;1);\r\n}<\/pre>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; 4459: [Jsoi2013]\u4e22\u756a\u56fe Time Limit:\u00a010 Sec\u00a0\u00a0Memory L [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[8],"class_list":["post-402","post","type-post","status-publish","format-standard","hentry","category-bzoj","tag-8"],"_links":{"self":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/402","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=402"}],"version-history":[{"count":2,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/402\/revisions"}],"predecessor-version":[{"id":404,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/402\/revisions\/404"}],"wp:attachment":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=402"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=402"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=402"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}