跳到主要内容
图灵 OJTURING / ONLINE JUDGE

#F2278. Shell Game

    ID: 2284 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: (无) 上传者: 标签>待分类整理状态难度待定难度共享题库Codeforces英文题面题目来源题面语言

Shell Game

题目描述

A. Shell Game
time limit per test
2 seconds
memory limit per test
64 megabytes
input
input.txt
output
output.txt

Today the «Z» city residents enjoy a shell game competition. The residents are gathered on the main square to watch the breath-taking performance. The performer puts 3 non-transparent cups upside down in a row. Then he openly puts a small ball under one of the cups and starts to shuffle the cups around very quickly so that on the whole he makes exactly 3 shuffles. After that the spectators have exactly one attempt to guess in which cup they think the ball is and if the answer is correct they get a prize. Maybe you can try to find the ball too?

Input

The first input line contains an integer from 1 to 3 − index of the cup which covers the ball before the shuffles. The following three lines describe the shuffles. Each description of a shuffle contains two distinct integers from 1 to 3 − indexes of the cups which the performer shuffled this time. The cups are numbered from left to right and are renumbered after each shuffle from left to right again. In other words, the cup on the left always has index 1, the one in the middle − index 2 and the one on the right − index 3.

Output

In the first line output an integer from 1 to 3 − index of the cup which will have the ball after all the shuffles.

Examples
Input
1
1 2
2 1
2 1
Output
2
Input
1
2 1
3 1
1 3
Output
2

题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 1891 题。保留原作者与原赛事署名。