CF869A.The Artful Expedient

普及/提高-

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题目描述

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 nn is decided first. Both Koyomi and Karen independently choose nn distinct positive integers, denoted by x1,x2,...,xnx_{1},x_{2},...,x_{n} and y1,y2,...,yny_{1},y_{2},...,y_{n} respectively. They reveal their sequences, and repeat until all of 2n2n integers become distinct, which is the only final state to be kept and considered.

Then they count the number of ordered pairs (i,j)(i,j) ( 1<=i,j<=n1<=i,j<=n ) such that the value xix_{i} xor yjy_{j} equals to one of the 2n2n integers. Here xor 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.

输入格式

The first line of input contains a positive integer nn ( 1<=n<=20001<=n<=2000 ) — the length of both sequences.

The second line contains nn space-separated integers x1,x2,...,xnx_{1},x_{2},...,x_{n} ( 1<=xi<=21061<=x_{i}<=2·10^{6} ) — the integers finally chosen by Koyomi.

The third line contains nn space-separated integers y1,y2,...,yny_{1},y_{2},...,y_{n} ( 1<=yi<=21061<=y_{i}<=2·10^{6} ) — the integers finally chosen by Karen.

Input guarantees that the given 2n2n integers are pairwise distinct, that is, no pair (i,j)(i,j) ( 1<=i,j<=n1<=i,j<=n ) exists such that one of the following holds: xi=yjx_{i}=y_{j} ; iji≠j and xi=xjx_{i}=x_{j} ; iji≠j and yi=yjy_{i}=y_{j} .

输出格式

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

输入输出样例

  • 输入#1

    3
    1 2 3
    4 5 6
    

    输出#1

    Karen
    
  • 输入#2

    5
    2 4 6 8 10
    9 7 5 3 1
    

    输出#2

    Karen
    

说明/提示

In the first example, there are 66 pairs satisfying the constraint: (1,1)(1,1) , (1,2)(1,2) , (2,1)(2,1) , (2,3)(2,3) , (3,2)(3,2) and (3,3)(3,3) . Thus, Karen wins since 66 is an even number.

In the second example, there are 1616 such pairs, and Karen wins again.

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