<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>指数循环节 on 111qqz's blog</title><link>https://111qqz.com/en/tags/%E6%8C%87%E6%95%B0%E5%BE%AA%E7%8E%AF%E8%8A%82/</link><description>Recent content in 指数循环节 on 111qqz's blog</description><generator>Hugo -- gohugo.io</generator><language>en</language><copyright>© 2015-2026 111qqz</copyright><lastBuildDate>Sun, 30 Oct 2016 16:45:32 +0000</lastBuildDate><atom:link href="https://111qqz.com/en/tags/%E6%8C%87%E6%95%B0%E5%BE%AA%E7%8E%AF%E8%8A%82/index.xml" rel="self" type="application/rss+xml"/><item><title>hdu 3221 Brute-force Algorithm (矩阵快速幂+指数循环节)</title><link>https://111qqz.com/en/post/acm-icpc/2016/2016-10-30-hdu-3221/</link><pubDate>Sun, 30 Oct 2016 16:45:32 +0000</pubDate><guid>https://111qqz.com/en/post/acm-icpc/2016/2016-10-30-hdu-3221/</guid><description>&lt;p&gt;&lt;a href="http://acm.hdu.edu.cn/showproblem.php?pid=3221" target="_blank" rel="noreferrer"&gt;题目链接&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;题意：给出了一段伪代码。分析得知其实就是f[1]= a,f[2] = b,f[n]=f[n-1] * f[n-2]&lt;/p&gt;</description></item><item><title>hdu 2837 Calculation (指数循环节+欧拉函数)</title><link>https://111qqz.com/en/post/acm-icpc/2016/2016-10-30-hdu-2837/</link><pubDate>Sun, 30 Oct 2016 15:29:59 +0000</pubDate><guid>https://111qqz.com/en/post/acm-icpc/2016/2016-10-30-hdu-2837/</guid><description>&lt;p&gt;&lt;a href="http://acm.hdu.edu.cn/showproblem.php?pid=2837" target="_blank" rel="noreferrer"&gt;题目链接&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;题意：&lt;/p&gt;
&lt;p&gt;Assume that f(0) = 1 and 0^0=1. f(n) = (n)^f(n/10) for all n bigger than zero. Please calculate f(n)%m. (2 ≤ n , m ≤ 10^9, x^y means the y th power of x).&lt;/p&gt;</description></item><item><title>hdu 4335 What is N? （指数循环节+欧拉函数)</title><link>https://111qqz.com/en/post/acm-icpc/2016/2016-10-27-hdu-4335/</link><pubDate>Thu, 27 Oct 2016 12:18:20 +0000</pubDate><guid>https://111qqz.com/en/post/acm-icpc/2016/2016-10-27-hdu-4335/</guid><description>&lt;p&gt;&lt;a href="http://acm.hdu.edu.cn/showproblem.php?pid=4335" target="_blank" rel="noreferrer"&gt;题目链接&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;题意：给出b,p,m（( 0&amp;lt;=b&amp;lt;P, 1&amp;lt;=P&amp;lt;=10^5, 1 &amp;lt;= M &amp;lt;=2^64 – 1 )）,问满足图中条件的n有多少个。&lt;/p&gt;</description></item><item><title>uva 10692 Huge Mods (欧拉函数，指数循环节)</title><link>https://111qqz.com/en/post/acm-icpc/2016/2016-10-26-uva-10692/</link><pubDate>Wed, 26 Oct 2016 12:24:10 +0000</pubDate><guid>https://111qqz.com/en/post/acm-icpc/2016/2016-10-26-uva-10692/</guid><description>&lt;p&gt;&lt;a href="https://uva.onlinejudge.org/index.php?option=com_onlinejudge&amp;amp;Itemid=8&amp;amp;page=show_problem&amp;amp;problem=1633" target="_blank" rel="noreferrer"&gt;题目链接&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;题意：求一个楼梯数%m的大小。&lt;/p&gt;
&lt;p&gt;思路：指数循环节。&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;需要注意的是，模数只有最外层是m，每往里一层，模数都变成m=phi(m)&lt;/strong&gt;&lt;/p&gt;</description></item><item><title>hdu 4704 Sum (隔板法，指数循环节，费马小定理)</title><link>https://111qqz.com/en/post/acm-icpc/2016/2016-10-26-hdu-4704-sum-e99a94e69dbfe6b395efbc8ce68c87e695b0e5beaae78eafe88a82efbc8ce8b4b9e9a9ace5b08fe5ae9ae79086/</link><pubDate>Wed, 26 Oct 2016 10:42:21 +0000</pubDate><guid>https://111qqz.com/en/post/acm-icpc/2016/2016-10-26-hdu-4704-sum-e99a94e69dbfe6b395efbc8ce68c87e695b0e5beaae78eafe88a82efbc8ce8b4b9e9a9ace5b08fe5ae9ae79086/</guid><description>&lt;p&gt;&lt;a href="http://acm.hdu.edu.cn/showproblem.php?pid=4704" target="_blank" rel="noreferrer"&gt;题目链接&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;题意：定义s(k)为将n分成k个正整数的划分数，给出n，问s(1) + s(2) + &amp;hellip; + s(n-1) + s(n)是多少，结果9+7，其中n&amp;lt;=10^100000。&lt;/p&gt;</description></item><item><title>hdu 4549 M斐波那契数列 (矩阵快速幂+费马小定理+指数循环节)</title><link>https://111qqz.com/en/post/acm-icpc/2016/2016-10-26-hdu4549/</link><pubDate>Wed, 26 Oct 2016 09:12:43 +0000</pubDate><guid>https://111qqz.com/en/post/acm-icpc/2016/2016-10-26-hdu4549/</guid><description>&lt;p&gt;题意：M斐波那契数列F[n]是一种整数数列，它的定义如下：&lt;/p&gt;
&lt;p&gt;F[0] = a
F[1] = b
F[n] = F[n-1] * F[n-2] ( n &amp;gt; 1 )&lt;/p&gt;</description></item><item><title>指数循环节学习笔记</title><link>https://111qqz.com/en/post/acm-icpc/2016/2016-10-26-e68c87e695b0e5beaae78eafe88a82e5ada6e4b9a0e7ac94e8aeb0/</link><pubDate>Wed, 26 Oct 2016 08:59:48 +0000</pubDate><guid>https://111qqz.com/en/post/acm-icpc/2016/2016-10-26-e68c87e695b0e5beaae78eafe88a82e5ada6e4b9a0e7ac94e8aeb0/</guid><description>&lt;p&gt;资料先行：&lt;/p&gt;
&lt;p&gt;&lt;a href="http://www.cnblogs.com/maijing/p/5046628.html" target="_blank" rel="noreferrer"&gt;指数循环节证明&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;a href="http://www.voidcn.com/blog/u012760629/article/p-3169527.html" target="_blank" rel="noreferrer"&gt;指数循环节2&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;a href="http://zimpha.github.io/2015/09/11/exponential-periodic/" target="_blank" rel="noreferrer"&gt;对指数循环节的一些理解&lt;/a&gt;&lt;/p&gt;
&lt;!-- more --&gt;
&lt;p&gt;挂了一点题目，写完来写总结。&lt;/p&gt;
&lt;p&gt;&lt;a href="http://vjudge.net/contest/138546#overview" target="_blank" rel="noreferrer"&gt;vjudge_不会指数循环节的111qqz&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;写完了。&lt;/p&gt;
&lt;p&gt;首先要注意的是：&lt;/p&gt;</description></item></channel></rss>