시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 30 10 9 33.333%

문제

세븐 세그먼트 디스플레이는 다양한 곳에서 사용된다. 이 디스플레이는 세븐 세그먼트를 이용해서 숫자를 화면에 표시한다.

아래 그림은 전형적인 세븐 세그먼트 디스플레이가 사용하는 모든 세그먼트를 묘사한 그림이다. (앞으로 세븐 세그먼트 디스플레이를 SSD로 줄여서 쓴다)

그림 1. SSD에서 사용하는 세그먼트 (DP는 소수점을 나타낸다. 이 문제에서는 사용하지 않는다)

SSD에서 0부터 9까지 숫자를 표현하는 방법은 아래와 같다.

  • 0은 세그먼트 A, B, C, D, E, F를 사용한다.
  • 1: B, C
  • 2: A, B, G, E, D
  • 3: A, B, C, D, G
  • 4: B, C, F, G
  • 5: A, C, D, F, G
  • 6: A, C, D, E, F, G
  • 7: A, B, C
  • 8: A, B, C, D, E, F, G
  • 9: A, B, C, D, F, G

SSD에서 숫자의 표현을 그래프로 생각할 수가 있다. 세그먼트의 양 끝점을 노드로, 세그먼트를 간선으로 표현하면 숫자는 아래와 같이 나타낼 수 있다.

위의 그래프를 차수가 0인 SSD 그래프라고 한다. 차수가 k(k > 0)인 SSD그래프는 차수가 0인 SSD 그래프의 각 간선을 k+1개의 간선으로 나누고, 그 사이에 노드 k개를 삽입해 만들 수 있다.

차수가 1인 SSD 그래프에서 모든 숫자를 나타내는 방법은 아래와 같다. 어두운 노드는 새로 생긴 노드이다.

노드 n개와 간선 m개로 이루어진 그래프가 주어진다. 입력으로 주어진 그래프가 나타낼 수 있는 숫자와 그래프의 차수를 모두 구하는 프로그램을 작성하시오.

입력

첫째 줄에 테스트 케이스의 개수 T (1 ≤ T ≤ 20)가 주어진다. 각 테스트 케이스의 첫째 줄에 n (1 ≤ n ≤ 500)과 m (1 ≤ m ≤ 1000)이 주어진다. 다음 m개 줄에는 간선의 정보 (u, v)가 주어진다. 노드는 1번부터 n번까지 번호가 매겨져 있으며, 중복되는 간선이나 u와 v가 같은 간선은 입력으로 주어지지 않는다.

출력

각 테스트 케이스마다 Case X: Y를 첫째 줄에 출력한다. X는 테스트 케이스의 번호이고, Y는 가능한 (숫자, 차수) 쌍의 개수이다. 그 다음 줄부터 한 줄에 하나씩 가능한 숫자와 차수를 공백으로 구분해 출력한다. 숫자가 작은 순서대로, 같은 경우에는 차수가 작은 순서대로 출력한다. 테스트 케이스 사이에는 빈 줄을 하나 출력한다.

예제 입력 1

2
16 15
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
4 3
1 2
1 3
1 4

예제 출력 1

Case 1: 3
2 2
5 2
7 4

Case 2: 0

힌트

[{"problem_id":"9617","problem_lang":"0","title":"SSD","description":"<p>\uc138\ube10 \uc138\uadf8\uba3c\ud2b8 \ub514\uc2a4\ud50c\ub808\uc774\ub294 \ub2e4\uc591\ud55c \uacf3\uc5d0\uc11c \uc0ac\uc6a9\ub41c\ub2e4. \uc774 \ub514\uc2a4\ud50c\ub808\uc774\ub294 \uc138\ube10 \uc138\uadf8\uba3c\ud2b8\ub97c \uc774\uc6a9\ud574\uc11c \uc22b\uc790\ub97c \ud654\uba74\uc5d0 \ud45c\uc2dc\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc544\ub798 \uadf8\ub9bc\uc740 \uc804\ud615\uc801\uc778 \uc138\ube10 \uc138\uadf8\uba3c\ud2b8 \ub514\uc2a4\ud50c\ub808\uc774\uac00 \uc0ac\uc6a9\ud558\ub294 \ubaa8\ub4e0 \uc138\uadf8\uba3c\ud2b8\ub97c \ubb18\uc0ac\ud55c \uadf8\ub9bc\uc774\ub2e4. (\uc55e\uc73c\ub85c \uc138\ube10 \uc138\uadf8\uba3c\ud2b8 \ub514\uc2a4\ud50c\ub808\uc774\ub97c SSD\ub85c \uc904\uc5ec\uc11c \uc4f4\ub2e4)<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/ssd1.png\" style=\"height:167px; width:151px\" \/><\/p>\r\n\r\n<p>\uadf8\ub9bc 1. SSD\uc5d0\uc11c \uc0ac\uc6a9\ud558\ub294 \uc138\uadf8\uba3c\ud2b8 (DP\ub294 \uc18c\uc218\uc810\uc744 \ub098\ud0c0\ub0b8\ub2e4. \uc774 \ubb38\uc81c\uc5d0\uc11c\ub294 \uc0ac\uc6a9\ud558\uc9c0 \uc54a\ub294\ub2e4)<\/p>\r\n\r\n<p>SSD\uc5d0\uc11c 0\ubd80\ud130 9\uae4c\uc9c0 \uc22b\uc790\ub97c \ud45c\ud604\ud558\ub294 \ubc29\ubc95\uc740 \uc544\ub798\uc640 \uac19\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/ssd2.png\" style=\"height:62px; width:449px\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>0\uc740 \uc138\uadf8\uba3c\ud2b8 A, B, C, D, E, F\ub97c \uc0ac\uc6a9\ud55c\ub2e4.<\/li>\r\n\t<li>1: B, C<\/li>\r\n\t<li>2: A, B, G, E, D<\/li>\r\n\t<li>3: A, B, C, D, G<\/li>\r\n\t<li>4: B, C, F, G<\/li>\r\n\t<li>5: A, C, D, F, G<\/li>\r\n\t<li>6: A, C, D, E, F, G<\/li>\r\n\t<li>7: A, B, C<\/li>\r\n\t<li>8: A, B, C, D, E, F, G<\/li>\r\n\t<li>9: A, B, C, D, F, G<\/li>\r\n<\/ul>\r\n\r\n<p>SSD\uc5d0\uc11c \uc22b\uc790\uc758 \ud45c\ud604\uc744 \uadf8\ub798\ud504\ub85c \uc0dd\uac01\ud560 \uc218\uac00 \uc788\ub2e4. \uc138\uadf8\uba3c\ud2b8\uc758 \uc591 \ub05d\uc810\uc744 \ub178\ub4dc\ub85c, \uc138\uadf8\uba3c\ud2b8\ub97c \uac04\uc120\uc73c\ub85c \ud45c\ud604\ud558\uba74 \uc22b\uc790\ub294 \uc544\ub798\uc640 \uac19\uc774 \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/ssd3.png\" style=\"height:187px; width:318px\" \/><\/p>\r\n\r\n<p>\uc704\uc758 \uadf8\ub798\ud504\ub97c \ucc28\uc218\uac00 0\uc778 SSD \uadf8\ub798\ud504\ub77c\uace0 \ud55c\ub2e4. \ucc28\uc218\uac00 k(k &gt; 0)\uc778 SSD\uadf8\ub798\ud504\ub294 \ucc28\uc218\uac00 0\uc778 SSD \uadf8\ub798\ud504\uc758 \uac01 \uac04\uc120\uc744 k+1\uac1c\uc758 \uac04\uc120\uc73c\ub85c \ub098\ub204\uace0, \uadf8 \uc0ac\uc774\uc5d0 \ub178\ub4dc k\uac1c\ub97c \uc0bd\uc785\ud574 \ub9cc\ub4e4 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ucc28\uc218\uac00 1\uc778 SSD \uadf8\ub798\ud504\uc5d0\uc11c \ubaa8\ub4e0 \uc22b\uc790\ub97c \ub098\ud0c0\ub0b4\ub294 \ubc29\ubc95\uc740 \uc544\ub798\uc640 \uac19\ub2e4. \uc5b4\ub450\uc6b4 \ub178\ub4dc\ub294 \uc0c8\ub85c \uc0dd\uae34 \ub178\ub4dc\uc774\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/ssd4.png\" style=\"height:631px; width:486px\" \/><\/p>\r\n\r\n<p>\ub178\ub4dc n\uac1c\uc640 \uac04\uc120 m\uac1c\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uadf8\ub798\ud504\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4 \uadf8\ub798\ud504\uac00 \ub098\ud0c0\ub0bc \uc218 \uc788\ub294 \uc22b\uc790\uc640 \uadf8\ub798\ud504\uc758 \ucc28\uc218\ub97c \ubaa8\ub450 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218 T (1 &le; T &le; 20)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0 n (1 &le; n &le; 500)\uacfc m (1 &le; m &le; 1000)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \ub2e4\uc74c m\uac1c \uc904\uc5d0\ub294 \uac04\uc120\uc758 \uc815\ubcf4 (u, v)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub178\ub4dc\ub294 1\ubc88\ubd80\ud130 n\ubc88\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\uc73c\uba70, \uc911\ubcf5\ub418\ub294 \uac04\uc120\uc774\ub098 u\uc640 v\uac00 \uac19\uc740 \uac04\uc120\uc740 \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c0\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 Case X: Y\ub97c \uccab\uc9f8 \uc904\uc5d0 \ucd9c\ub825\ud55c\ub2e4. X\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \ubc88\ud638\uc774\uace0, Y\ub294 \uac00\ub2a5\ud55c (\uc22b\uc790, \ucc28\uc218) \uc30d\uc758 \uac1c\uc218\uc774\ub2e4. \uadf8 \ub2e4\uc74c \uc904\ubd80\ud130 \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \uac00\ub2a5\ud55c \uc22b\uc790\uc640 \ucc28\uc218\ub97c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud574 \ucd9c\ub825\ud55c\ub2e4. \uc22b\uc790\uac00 \uc791\uc740 \uc21c\uc11c\ub300\ub85c, \uac19\uc740 \uacbd\uc6b0\uc5d0\ub294 \ucc28\uc218\uac00 \uc791\uc740 \uc21c\uc11c\ub300\ub85c \ucd9c\ub825\ud55c\ub2e4. \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","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"9617","problem_lang":"1","title":"Seven Segment Display","description":"<p>Seven segment numeric displays are ubiquitous. It uses seven segments to display numbers.&nbsp;<\/p>\r\n\r\n<p>Here is a figure which depicts all the segments used in a typical seven segment display (We&rsquo;ll be using the acronym SSD for convenience from now on).&nbsp;<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"\/upload\/images\/ssd1.png\" style=\"height:167px; width:151px\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">Figure 1: Segments used for SSD representation.<\/p>\r\n\r\n<p style=\"text-align: center;\">Here, DP represents decimal place which is not necessary in the context of this problem.&nbsp;<\/p>\r\n\r\n<p>And here are the numbers from 0 to 9 represented in SSD.&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/ssd2.png\" style=\"height:62px; width:449px\" \/><\/p>\r\n\r\n<ul>\r\n\t<li>0 uses segments A, B, C, D, E, F&nbsp;<\/li>\r\n\t<li>1: B, C&nbsp;<\/li>\r\n\t<li>2: A, B, G, E, D&nbsp;<\/li>\r\n\t<li>3: A, B, C, D, G&nbsp;<\/li>\r\n\t<li>4: B, C, F, G&nbsp;<\/li>\r\n\t<li>5: A, C, D, F, G&nbsp;<\/li>\r\n\t<li>6: A, C, D, E, F, G&nbsp;<\/li>\r\n\t<li>7: A, B, C&nbsp;<\/li>\r\n\t<li>8: A, B, C, D, E, F, G&nbsp;<\/li>\r\n\t<li>9: A, B, C, D, F, G&nbsp;<\/li>\r\n<\/ul>\r\n\r\n<p>Now, imagine the SSD representation of a digit as a graph. The endpoints of the segments are the nodes and segments are edges. So, the digits will look like:&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/ssd3.png\" style=\"height:187px; width:318px\" \/><\/p>\r\n\r\n<p>We call this representation a 0-degree SSD graph. A k-degree (k &gt; 0) SSD graph is made by dividing each edge of a 0-degree graph into k+1 edges and introducing k nodes in between them.&nbsp;<\/p>\r\n\r\n<p>To explain more, 1-degree graphs of all digits are shown below. The darker nodes are the newly introduced nodes.&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/ssd4.png\" style=\"height:631px; width:486px\" \/><\/p>\r\n\r\n<p>You&rsquo;ll be given a graph with n nodes and m edges. You&rsquo;ll need to print all the (degree, digit) pairs for which the given graph is valid.&nbsp;<\/p>\r\n","input":"<p>The first line of the input contains an integer which denotes the number of test cases T (1 &le; T &le; 20). T sets of case will follow. Each case will start with a couple of numbers n (1 &le; n &le; 500) and m (1 &le; m &le; 1000)- the number of nodes and the number of edges respectively. Each of the next m lines will contain a pair of numbers (u, v) meaning that there is an edge from node u to node v. Nodes are numbered from 1 to n. It&rsquo;s guaranteed that there is no duplicate or self-edges in the input.&nbsp;<\/p>\r\n","output":"<p>For each set of inputs, output one set of output. First line of a set should be of the format, Case X: Y (here, X is the serial of the input and Y is the number of (digit, degree) pairs) in a line. Then print each (digit, degree) pair - one pair in each line. The pairs should be sorted according to digit first then degree. Each number in a pair should be separated with a space. Print a blank line between consecutive test cases.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]