백준 온라인 저지, 분리집합 / 7511번: 소셜네트워킹어플리케이션 (파이썬 / , 백준 골드문제)

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.

제한

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

힌트

[{"problem_id":"7511","problem_lang":"0","title":"\uc18c\uc15c \ub124\ud2b8\uc6cc\ud0b9 \uc5b4\ud50c\ub9ac\ucf00\uc774\uc158","description":"<p>\uc5b4\ub838\uc744\ub54c\ubd80\ud130 \ucef4\ud4e8\ud130 \ud504\ub85c\uadf8\ub798\ubc0d\uc5d0 \uc5c4\uccad\ub09c \uc18c\uc9c8\uc744 \ubcf4\uc778 \uc0c1\uadfc\uc774\ub294 \ud56d\uc0c1 \uc18c\uc15c \ub124\ud2b8\uc6cc\ud0b9 \uc6f9\uc0ac\uc774\ud2b8\ub97c \ub9cc\ub4e4\uace0 \uc2f6\uc5b4 \ud588\ub2e4. \uc0c1\uadfc\uc774\ub294 \ud398\uc774\uc2a4\ubd81\uc744 \ubca4\uce58\ub9c8\ud0b9\ud558\uae30 \uc704\ud574 \uc9c0\ub09c 3\ub144\uac04 \uc5f4\uc2ec\ud788 \uc0ac\uc6a9\uc744 \ud588\uace0, \uc774\uc81c \ud398\uc774\uc2a4\ubd81\uc758 \ub2e8\uc810\uc744 \ubcf4\uc644\ud55c \uc0c8 \uc18c\uc15c \ub124\ud2b8\uc6cc\ud0b9 \uc6f9 2.0 \uc5b4\ud50c\ub9ac\ucf00\uc774\uc158\uc744 \ub9cc\ub4e4\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc0ac\ub78c\ub4e4\uc740 \uc18c\uc15c \ub124\ud2b8\uc6cc\ud0b9 \uc5b4\ud50c\ub9ac\ucf00\uc774\uc158\uc5d0 \uac00\uc785\uc744 \ud55c \ub2e4\uc74c, \ud604\uc2e4\uc5d0\uc11c \uc544\ub294 \uc0ac\ub78c\uc744 \uce5c\uad6c\ub85c \ucd94\uac00\ud558\uae30 \uc2dc\uc791\ud55c\ub2e4. \uc774\ub7ec\ud55c \uce5c\uad6c \uad00\uacc4 \uc815\ubcf4\ub97c \uc774\uc6a9\ud574 \uce5c\uad6c \uad00\uacc4 \uadf8\ub798\ud504\ub97c \uadf8\ub9b4 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc18c\uc15c \ub124\ud2b8\uc6cc\ud0b9 \uc5b4\ud50c\ub9ac\ucf00\uc774\uc158\uc5d0\uc11c \uac00\uc7a5 \uc911\uc694\ud55c \uae30\ub2a5\uc740 \ud55c \uc0ac\ub78c\uc774 \ub2e4\ub978 \uc0ac\ub78c\uc758 \ud398\uc774\uc9c0\ub97c \ubc29\ubb38\ud588\uc744 \ub54c, \uce5c\uad6c \uad00\uacc4 \uadf8\ub798\ud504\uc5d0\uc11c \ub450 \uc0ac\ub78c \uc0ac\uc774\uc758 \uacbd\ub85c\ub97c \ubcf4\uc5ec\uc8fc\ub294 \uae30\ub2a5\uc774\ub2e4. \uacbd\ub85c\uac00 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 \ubcf4\uc5ec\uc8fc\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\uc758 \uc11c\ube44\uc2a4\ub294 \ub9e4\uc6b0 \uc720\uba85\ud574\uc84c\uace0, \uc704\uc758 \uae30\ub2a5\uc740 \uc0ac\ub78c\ub4e4\uc774 \uc810\uc810 \ub9ce\uc544\uc9c8\uc218\ub85d \uacbd\ub85c\ub97c \uad6c\ud558\ub294 \uc2dc\uac04\uc774 \ub9e4\uc6b0 \ub290\ub824\uc9c0\uac8c \ub418\uc5c8\ub2e4. \uadf8 \uc774\uc720\ub294 \ub450 \uc0ac\ub78c \uc0ac\uc774\uc758 \uacbd\ub85c\uac00 \uc5c6\ub294 \uacbd\uc6b0\uc5d0 \uacbd\ub85c\ub97c \ucc3e\uae30 \uc704\ud574 \ub108\ubb34 \uc624\ub79c\uc2dc\uac04 \uadf8\ub798\ud504\ub97c \ud0d0\uc0c9\ud558\uae30 \ub54c\ubb38\uc774\uc5c8\ub2e4. \ub530\ub77c\uc11c, \uc0c1\uadfc\uc774\ub294 \ub450 \uc0ac\ub78c \uc0ac\uc774\uc758 \uacbd\ub85c\uac00 \uc874\uc7ac\ud558\ub294\uc9c0 \uc548 \ud558\ub294\uc9c0\ub97c \ubbf8\ub9ac \uad6c\ud574\ubcf4\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc720\uc800\uc758 \uc218\uc640 \uac01 \uc720\uc800\uc758 \uce5c\uad6c \uad00\uacc4\uac00 \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ub54c, \uc8fc\uc5b4\uc9c0\ub294 \ub450 \uc0ac\ub78c\uc774 \uce5c\uad6c \uad00\uacc4 \uadf8\ub798\ud504\uc0c1\uc5d0\uc11c \uacbd\ub85c\uac00 \uc874\uc7ac\ud558\ub294\uc9c0 \uc548 \ud558\ub294\uc9c0\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \uc720\uc800\uc758 \uc218 1 &le; n &le; 10<sup>6<\/sup>\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub458\uc9f8 \uc904\uc5d0\ub294 \uce5c\uad6c \uad00\uacc4\uc758 \uc218 1 &le; k &le; 10<sup>5<\/sup>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c k\uac1c \uc904\uc5d0\ub294 \ub450 \uc815\uc218 0 &le; a, b &lt; n\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub450 \uc218\ub294 \uce5c\uad6c \uad00\uacc4\ub97c \ub098\ud0c0\ub0b4\uba70, \uc720\uc800 a\uc640 b\uac00 \uce5c\uad6c\ub77c\ub294 \uc18c\ub9ac\uc774\ub2e4. \ub2e4\uc74c \uc904\uc5d0\ub294 \ubbf8\ub9ac \uad6c\ud560 \uc30d\uc758 \uc218 1 &le; m &le; 10<sup>5<\/sup>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c m\uac1c \uc904\uc5d0\ub294 \uad6c\ud574\uc57c\ud558\ub294 \uc30d\uc744 \ub098\ud0c0\ub0b4\ub294 u, v\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 &quot;Scenario i:&quot;\ub97c \ucd9c\ub825\ud55c\ub2e4. i\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \ubc88\ud638\uc774\uba70, 1\ubd80\ud130 \uc2dc\uc791\ud55c\ub2e4. \uadf8 \ub2e4\uc74c, \uac01\uac01\uc758 \uc30d\ub9c8\ub2e4 \ub450 \uc0ac\ub78c\uc744 \uc5f0\uacb0\ud558\ub294 \uacbd\ub85c\uac00 \uc788\uc73c\uba74 1, \uc5c6\uc73c\uba74 0\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \uc0ac\uc774\uc5d0\ub294 \ube48 \uc904\uc744 \ud558\ub098 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"7511","problem_lang":"1","title":"","description":"<p>Mark is a pretty cool guy - he programs computers. 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"}]

접근 방법

- 분리집합을 통해 연결되어있는 집합의 인덱스 번호를 갱신해가며 테스트 케이스별로 출력조건에 맞게 출력한다.

코드

# https://www.acmicpc.net/problem/7511
# 접근 방법
# 분리집합을 통해 연결되어있는 집합의 인덱스 번호를 갱신해가며 테스트 케이스별로 출력조건에 맞게 출력한다.
def get_parent(friend):
    if parent[friend] == friend:
        return friend
    parent[friend] = get_parent(parent[friend]) 
    return parent[friend]

def find_union(friend1, friend2):
    n1 = get_parent(friend1)
    n2 = get_parent(friend2)
    if n1 > n2:
        parent[n1] = n2
    else:
        parent[n2] = n1
    
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)
tc = int(input())
for i in range(1, tc+1):
    n, k = int(input()), int(input())
    parent = [j for j in range(n)]
    for _ in range(k):
        a, b = map(int, input().split())
        find_union(a, b)
    print(f'Scenario {i}:')
    m = int(input())
    for _ in range(m):
        u, v = map(int, input().split())
        if get_parent(u) == get_parent(v):
            print(1)
        else:
            print(0)
    print()