시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

어렸을때부터 컴퓨터 프로그래밍에 엄청난 소질을 보인 상근이는 항상 소셜 네트워킹 웹사이트를 만들고 싶어 했다. 상근이는 페이스북을 벤치마킹하기 위해 지난 3년간 열심히 사용을 했고, 이제 페이스북의 단점을 보완한 새 소셜 네트워킹 웹 2.0 어플리케이션을 만들려고 한다.

사람들은 소셜 네트워킹 어플리케이션에 가입을 한 다음, 현실에서 아는 사람을 친구로 추가하기 시작한다. 이러한 친구 관계 정보를 이용해 친구 관계 그래프를 그릴 수 있다.

소셜 네트워킹 어플리케이션에서 가장 중요한 기능은 한 사람이 다른 사람의 페이지를 방문했을 때, 친구 관계 그래프에서 두 사람 사이의 경로를 보여주는 기능이다. 경로가 없는 경우에는 보여주지 않는다.

상근이의 서비스는 매우 유명해졌고, 위의 기능은 사람들이 점점 많아질수록 경로를 구하는 시간이 매우 느려지게 되었다. 그 이유는 두 사람 사이의 경로가 없는 경우에 경로를 찾기 위해 너무 오랜시간 그래프를 탐색하기 때문이었다. 따라서, 상근이는 두 사람 사이의 경로가 존재하는지 안 하는지를 미리 구해보려고 한다.

유저의 수와 각 유저의 친구 관계가 입력으로 주어진다. 이때, 주어지는 두 사람이 친구 관계 그래프상에서 경로가 존재하는지 안 하는지를 구하는 프로그램을 작성하시오.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다.

각 테스트 케이스의 첫째 줄에는 유저의 수 1 ≤ n ≤ 106이 주어진다. 둘째 줄에는 친구 관계의 수 1 ≤ k ≤ 105가 주어진다. 다음 k개 줄에는 두 정수 0 ≤ a, b < n이 주어진다. 두 수는 친구 관계를 나타내며, 유저 a와 b가 친구라는 소리이다. 다음 줄에는 미리 구할 쌍의 수 1 ≤ m ≤ 105가 주어진다. 다음 m개 줄에는 구해야하는 쌍을 나타내는 u, v가 주어진다.

출력

각 테스트 케이스마다 "Scenario i:"를 출력한다. i는 테스트 케이스 번호이며, 1부터 시작한다. 그 다음, 각각의 쌍마다 두 사람을 연결하는 경로가 있으면 1, 없으면 0을 출력한다.

각 테스트 케이스 사이에는 빈 줄을 하나 출력한다.

예제 입력 1

2
3
1
0 1
2
0 1
1 2
5
3
0 1
1 2
3 4
2
0 2
1 3

예제 출력 1

Scenario 1:
1
0

Scenario 2:
1
0
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Because it&rsquo;s all the rage these days, he has decided to write a social-networking web2.0 application. In a social-networking application, users may open accounts and tell the system which other users they consider as friends. This friendship information de\ufb01nes the friendship graph of the network.<\/p>\r\n\r\n<p>An important feature of social networking applications is that whenever a user visits the page of another user, the system will determine whether there is a path in the friendship graph from the \ufb01rst to the second user. If so, one such a friendship path is displayed.<\/p>\r\n\r\n<p>Mark&rsquo;s social-networking application is very popular, but as it turns out computes friendship paths very slowly. In many cases however, there does not even exist a friendship path between users. Thus, Mark has the great idea check if a path exists, before actually computing it. He \ufb01gures that checking for the existence of a path only should be much faster. This is where you come in.<\/p>\r\n\r\n<p>Given the number of users, the information which users are friends and a list of pairs of users, you are to decide for which of those pairs there are paths in the friendship graph.<\/p>\r\n","input":"<p>The \ufb01rst line contains the number of scenarios.<\/p>\r\n\r\n<p>Every scenario consists of a single line containing the number 1 &le; n &le; 10<sup>6<\/sup> of users in the system. The number of friendships 1 &le; k &le; 10<sup>5<\/sup> follows on a single line, followed by k lines with two numbers 0 &le; a, b &lt; n separated by a space. Each of these lines de\ufb01nes a direct friendship relation between user a and b. Finally, the number of requests 1 &le; m &le; 10<sup>5<\/sup> is on a single line, followed by m pairs of numbers u, v separated by spaces. Each of these pairs is a request to determine if there is a friendship path between the users u and v a.<\/p>\r\n","output":"<p>The output for every scenario begins with a line containing &ldquo;Scenario i:&rdquo;, where i is the number of the scenario counting from 1.<\/p>\r\n\r\n<p>For each request, print a single line with either the number 1 if the two users in this request are connected, or 0 otherwise. Every scenario is \ufb01nished by a blank line.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

University > Tu-Darmstadt Programming Contest > TUD Contest 2008 (Single) 1번