time limit per test 1 second

memory limit per test 256 megabytes

input standard input

output standard output

Rock... Paper!

After Karen have found the deterministic winning (losing?) strategy for rock-paper-scissors, her brother, Koyomi, comes up with a new game as a substitute. The game works as follows.

A positive integer n is decided first. Both Koyomi and Karen independently choose n distinct positive integers, denoted by x1, x2, ..., xnand y1, y2, ..., yn respectively. They reveal their sequences, and repeat until all of 2n integers become distinct, which is the only final state to be kept and considered.

Then they count the number of ordered pairs (i, j) (1 ≤ i, j ≤ n) such that the value xi xor yj equals to one of the 2n integers. Herexor means the bitwise exclusive or operation on two integers, and is denoted by operators ^ and/or xor in most programming languages.

Karen claims a win if the number of such pairs is even, and Koyomi does otherwise. And you're here to help determine the winner of their latest game.

Input

The first line of input contains a positive integer n (1 ≤ n ≤ 2 000) — the length of both sequences.

The second line contains n space-separated integers x1, x2, ..., xn (1 ≤ xi ≤ 2·106) — the integers finally chosen by Koyomi.

The third line contains n space-separated integers y1, y2, ..., yn (1 ≤ yi ≤ 2·106) — the integers finally chosen by Karen.

Input guarantees that the given 2n integers are pairwise distinct, that is, no pair (i, j) (1 ≤ i, j ≤ n) exists such that one of the following holds: xi = yj; i ≠ j and xi = xj; i ≠ j and yi = yj.

Output

Output one line — the name of the winner, that is, "Koyomi" or "Karen" (without quotes). Please be aware of the capitalization.

Examples

input

3
1 2 3
4 5 6

output

Karen

input

5
2 4 6 8 10
9 7 5 3 1

output

Karen

Note

In the first example, there are 6 pairs satisfying the constraint: (1, 1), (1, 2), (2, 1), (2, 3), (3, 2) and (3, 3). Thus, Karen wins since 6is an even number.

In the second example, there are 16 such pairs, and Karen wins again.

   【翻译】给出两个长度为n的元素内部和之间互不相同数组,从两个数组中各取一个元素形成二元组,如果二元组的元素的异或值存在于数组中,那么就是合法二元组。如果合法二元组个数为偶数,则Karen胜利。反之败。

题解:

    ①暴力解法就是一个Implentation——题目怎么说就怎么做。

    ②正解:根据a^b=c ==> a^c=b 那么合法二元组对数一定是偶数,所以直接输出。

#include<cstdio>
main(){puts("Karen");}//Paul_Guderian

我们都在进行着一场,一场比赛。

不争取就一定会,一定会失败。——————汪峰《英雄》

【CF Round 439 A. The Artful Expedient】的更多相关文章

  1. 【CF Round 439 E. The Untended Antiquity】

    time limit per test 2 seconds memory limit per test 512 megabytes input standard input output standa ...

  2. 【CF Round 439 C. The Intriguing Obsession】

    time limit per test 1 second memory limit per test 256 megabytes input standard input output standar ...

  3. 【CF Round 439 B. The Eternal Immortality】

    time limit per test 1 second memory limit per test 256 megabytes input standard input output standar ...

  4. 【Codeforces Round #439 (Div. 2) A】The Artful Expedient

    [链接] 链接 [题意] [题解] 暴力 [错的次数] 在这里输入错的次数 [反思] 在这里输入反思 [代码] #include <bits/stdc++.h> using namespa ...

  5. 【codeforces】【比赛题解】#869 CF Round #439 (Div.2)

    良心赛,虽然我迟了半小时233333. 比赛链接:#869. 呃,CF的比赛都是有背景的……上次是<哈利波特>,这次是<物语>…… [A]巧妙的替换 题意: Karen发现了石 ...

  6. 【CF Round 434 B. Which floor?】

    time limit per test 1 second memory limit per test 256 megabytes input standard input output standar ...

  7. 【CF Round 434 A. k-rounding】

    Time limit per test1 second memory limit per test 256 megabytes input standard input output standard ...

  8. 【CF Round 429 B. Godsend】

    time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standa ...

  9. 【Codeforces Round #439 (Div. 2) C】The Intriguing Obsession

    [链接] 链接 [题意] 给你3种颜色的点. 每种颜色分别a,b,c个. 现在让你在这些点之间加边. 使得,同种颜色的点之间,要么不连通,要么连通,且最短路至少为3 边是无向边. 让你输出方案数 [题 ...

随机推荐

  1. 给网站添加icon图标

    只需制成ico结尾的图片即可

  2. intellij idea 添加动态 user library(java.lang.VerifyError)【转】

    使用IDEA的时候有时要用到eclipse的user library,由于两个IDE导入library的方式不同导致我们找不到导入user library的方法. 查IDEA的官方文档,找到方法如下: ...

  3. php学习【2】

    1:运算符 <?php $x=1; echo 1+1;//算术运算符 echo $x+=5;//赋值运算符 echo "<br/>"; echo $x++; ec ...

  4. lnamp高性能架构之apache和nginx的整合

    搭建过lamp博友和lnmp的博友们可能对这这两个单词并不陌生,对与apachen,nginx相比都源码或yum安装过,但知道apache的nginx的优点,apache处理动态页面很强,nginx处 ...

  5. (转)在图像处理中,散度 div 具体的作用是什么?

    出处http://www.zhihu.com/question/24591127 按:今天看到这篇文章,有点感慨,散度这个概念我初次接触到至少应该是在1998年,时隔这么多年后看到这篇文章,真的 佩服 ...

  6. MySQL数据库 : 查询语句,连接查询及外键约束

    查询指定字段        select 字段1,字段2 from 表名; 消除重复行(重复指的是结果集中的所有完全重复行)             select distinct 字段1,字段2.. ...

  7. 11.VUE学习之提交表单时拿到input里的值

    <!DOCTYPE html> <html> <head> <meta charset="utf-8"> <meta http ...

  8. Linux系统完整安装在虚拟机Mini

    打开VMware Workstation虚拟机,然后如下图一步到位: 此处只是简单的安装Linux系统,要想查看安装后的IP等配置看: https://www.cnblogs.com/gentle-a ...

  9. PTA 7-12(图) 社交网络图中结点的“重要性”计算 最短路

    7-12(图) 社交网络图中结点的“重要性”计算 (30 分) 在社交网络中,个人或单位(结点)之间通过某些关系(边)联系起来.他们受到这些关系的影响,这种影响可以理解为网络中相互连接的结点之间蔓延的 ...

  10. Personal Collection

    1.常用网站 序号 网址 标题 1 https://www.oschina.net/ 开源软件 2 http://tool.oschina.net/ 开发常用工具网站 3 https://docs.o ...