aaarticlea/png;base64,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" alt="" />

-----------------------------------------

这道题目是有一点小技巧的,因为取模运算没办法还原所以只好计算所有存储起来然后找映射,但是存储数据的使用场景是解密,再存储从明文到密文的映射就不太合适了,于是就存储从密文到明文的映射,这样子的话解密的时候就可以线性的从密文到明文。

AC代码:

 import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader; public class Main { public static void main(String[] args) throws IOException { BufferedReader reader=new BufferedReader(new InputStreamReader(System.in));; boolean first=true; while(first || reader.ready()){
first=false; String s=reader.readLine();
String ss[]=s.split("\\s{1,}");
initMapping(Integer.parseInt(ss[1]));
System.out.println(encoding(ss[0]));
}
} private static int[] mapping=new int[26]; public static void initMapping(int k){
for(int i=0;i<mapping.length;i++){
mapping[k*i%26]=i;
}
} public static char[] encoding(String s){
char cs[]=s.toCharArray();
for(int i=0;i<cs.length;i++){
cs[i]=(char) (mapping[cs[i]-'A']+'A');
}
return cs;
} }

题目来源: http://acm.nyist.net/JudgeOnline/problem.php?pid=769

NYOJ题目769乘数密码的更多相关文章

  1. NYOJ题目770仿射密码

    aaarticlea/png;base64,iVBORw0KGgoAAAANSUhEUgAAAs4AAAIUCAIAAACFKz0yAAAgAElEQVR4nO3dPXLruLaG4TsJ5RqIYw

  2. NYOJ题目768移位密码

    aaarticlea/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtIAAAJqCAIAAACJkTDlAAAgAElEQVR4nO3du3Ljvpa34b4J574Qx7

  3. NYOJ-769乘数密码,逆元解法;

    乘数密码 时间限制:1000 ms  |  内存限制:65535 KB 难度:1 ->    Link    <- 简单代替密码的第二种,比移位密码稍微复杂点,不过鉴于NYOJ,是完全可以 ...

  4. NYOJ-770仿射密码,乘数密码与移位密码的结合;

    仿射密码 时间限制:1000 ms  |  内存限制:65535 KB 难度:1 ->   Link   <- 和乘数密码差不多: 加密算法:Ek(m)=(k1*m+k2)%q;gcd(k ...

  5. NYOJ题目1048破门锁

  6. nyoj 题目2 括号配对问题

    描述 今天发现了nyoj,如获至宝.准备开刷. 括号配对问题 现在,有一行括号序列,请你检查这行括号是否配对.   输入 第一行输入一个数N(0<N<=100),表示有N组测试数据.后面的 ...

  7. NYOJ题目27水池数目

    --------------------------------------------- 这道题有点坑,也怪我总是有点马虎,按照正常人的思维0是表示有水池啊竟然是1表示有水池,最坑的是写反了竟然还能 ...

  8. NYOJ题目20吝啬的国度

    -----------------------------------------n-1条边的无向连通图是一棵树,又因为树上两点之间的路径是唯一的,所以解是唯一的.(注意并不一定是二叉树,所以最好采用 ...

  9. NYOJ题目28大数阶乘

    -------------------------------------祭出BigInteger AC代码: import java.math.BigInteger; import java.uti ...

随机推荐

  1. iOS开发——UI进阶篇(十五)Quartz2D介绍

    一.Quartz2D简介 1.什么是Quartz2DQuartz 2D是一个二维绘图引擎,同时支持iOS和Mac系统 Quartz 2D能完成的工作绘制图形 : 线条\三角形\矩形\圆\弧等绘制文字绘 ...

  2. BZOJ4034——[HAOI2015]T2

    1.题目大意:用一个数据结构支持树的点修改和子树修改.树上路径和 2.分析:树链剖分裸题 #include <cstdio> #include <cstdlib> #inclu ...

  3. 160809209_李梦鑫_C语言程序设计实验2+选择结构程序设计_进阶

    <C语言程序设计>实验报告 学 号 160809209 姓 名 李梦鑫 专业.班 计科16-2班 学    期 2016-2017 第1学期 指导教师 黄俊莲 吴喆 实验地点 C05 机 ...

  4. dp重拾-01背包--HDU 2602

    Many years ago , in Teddy’s hometown there was a man who was called “Bone Collector”. This man like ...

  5. HackerRank savita-and-friends

    Description 在一条边上求一个点,使得这个点到所有点的最长的最短距离 最短. \(n \leqslant 10^5\) Sol Dijkstra+扫描线+单调队列. 这个好像叫什么最小直径生 ...

  6. Valgrind 3.11.0编译安装

    Valgrind 3.11.0编译安装 Valgrind是一款用于内存调试.内存泄漏检测以及性能分析的软件开发工具. Valgrind遵守GNU通用公共许可证条款,是一款自由软件. 到3.3.0版本为 ...

  7. sql server 2008笔记

    sql server 2008开启远程访问数据库 1.以windows验证模式进入数据库管理器. 第二步:右击sa,选择属性: 在常规选项卡中,重新填写密码和确认密码(改成个好记的).把强制实施密码策 ...

  8. [ruby on rails] 深入(1) ROR的一次request的响应过程

    示意图 即: 1.  浏览器发起请求 2. Routes对请求进行一个url映射,交给对应的Controller来处理 3/4. Contoller从Model中获取数据(或者操作数据) 5. 返回给 ...

  9. 谷歌Chrome浏览器开发者工具的基础功能

    上一篇我们学习了谷歌Chrome浏览器开发者工具的基础功能,下面介绍的是Chrome开发工具中最有用的面板Sources.Sources面板几乎是最常用到的Chrome功能面板,也是解决一般问题的主要 ...

  10. JAVA分布式事务原理及应用(转)

      JTA(Java Transaction API)允许应用程序执行分布式事务处理--在两个或多个网络计算机资源上访问并且更新数据. JDBC驱动程序的JTA支持极大地增强了数据访问能力. 本文的目 ...