시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
5 초 128 MB 57 14 11 35.484%

문제

상근이는 음식점을 개업하려고 한다. 상근이가 살고있는 도시는 크기가 M×M인 격자로 나타낼 수 있다. 따라서, 모든 도로는 수직 또는 수평이고, 각 도로는 0번부터 M-1번까지 번호가 매겨져 있다. 모든 음식점은 수익을 높이기 위해서 교차로에 있다.

도시에는 큰 아파트가 두 개 있고, 두 아파트는 같은 수평 도로 위에 있다. 아래 그림은 도시의 크기가 11×11이며, 동그라미는 현재 있는 음식점, A 또는 B가 쓰여 있는 곳은 아파트를 나타낸다. 아파트에는 이미 레스토랑이 있다. 교차로는 수직 도로와 수평 도로의 쌍을 이용해 좌표로 나타낸다. 두 교차로 (x1, y1)과 (x2, y2)사이의 거리는 |x1-x2| + |y1-y2|이다. 아래 그림에서 A와 B의 좌표는 각각 (0, 5), (10, 5)이다.

상근이는 두 아파트에 사는 사람이 서로 자주 만난다는 것을 알고 있다. 따라서, 새 음식점을 두 아파트의 중간에 만드려고 한다. 하지만, 이미 있는 음식점과 임대비를 생각해보니 무조건 중간에 만든다고 이익이 가장 높은 것은 아니라는 생각이 들었다. 따라서, 아래 조건을 만족하는 "좋은 곳"을 찾으려고 한다. dist(p,q)는 p와 q 사이의 거리이다.

p가 "좋은 곳"이 되려면, 각각의 이미 있는 음식점 q에 대해서, dist(p,A) < dist(q,A) 또는 dist(p,B) < dist(q,B)를 만족해야 한다. 즉, dist(p,A) ≥ dist(q,A) 와 dist(p,B) ≥ dist(q,B)를 만족하는 음식점 q가 있는 경우에 p는 "좋은 곳"이 아니다.

위의 그림에서 (7,4)는 "좋은 곳"이다. 하지만, p=(4,6)은 q=(3,5) 때문에 좋은 곳이 아니다. (dist(p,A) = 5 ≥ dist(q,A) = 3, dist(p,B) = 7 ≥ dist(q,B) = 7) (0,0)도 (0,5) 때문에 좋은 곳이 아니다. 

음식점의 위치가 주어졌을 때, "좋은 곳"의 개수를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 테스트 케이스의 개수 T가 주어진다. 각 테스트 케이스의 첫째 줄에는 도시의 크기 M과 음식점의 수 N이 주어진다. (2 ≤ M ≤ 60,000, 2 ≤ n ≤ 50,000) 다음 줄에는 음식점의 좌표 xi, yi (0 ≤ xi, yi < M)가 주어진다. 두 음식점의 좌표가 같은 경우는 없고, 아파트 A는 첫 번째 음식점, 아파트 B는 두 번째 음식점이 있는 곳에 있다. 또, A와 B는 같은 수평 도로 위에 있다.

출력

각 테스트 케이스마다 "좋은 곳"의 개수를 출력한다.

예제 입력 1

2
6 3
1 3
4 3
0 2
11 11
0 5
10 5
4 9
2 8
7 8
5 6
3 5
5 3
3 2
7 2
9 1

예제 출력 1

2
16
[{"problem_id":"8920","problem_lang":"0","title":"\uc74c\uc2dd\uc810 \uac1c\uc5c5","description":"<p>\uc0c1\uadfc\uc774\ub294 \uc74c\uc2dd\uc810\uc744 \uac1c\uc5c5\ud558\ub824\uace0 \ud55c\ub2e4. \uc0c1\uadfc\uc774\uac00 \uc0b4\uace0\uc788\ub294 \ub3c4\uc2dc\ub294 \ud06c\uae30\uac00 M&times;M\uc778 \uaca9\uc790\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4. \ub530\ub77c\uc11c, \ubaa8\ub4e0 \ub3c4\ub85c\ub294 \uc218\uc9c1 \ub610\ub294 \uc218\ud3c9\uc774\uace0, \uac01 \ub3c4\ub85c\ub294 0\ubc88\ubd80\ud130 M-1\ubc88\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. \ubaa8\ub4e0 \uc74c\uc2dd\uc810\uc740 \uc218\uc775\uc744 \ub192\uc774\uae30 \uc704\ud574\uc11c \uad50\ucc28\ub85c\uc5d0 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ub3c4\uc2dc\uc5d0\ub294 \ud070 \uc544\ud30c\ud2b8\uac00 \ub450 \uac1c \uc788\uace0, \ub450 \uc544\ud30c\ud2b8\ub294 \uac19\uc740 \uc218\ud3c9 \ub3c4\ub85c \uc704\uc5d0 \uc788\ub2e4. \uc544\ub798 \uadf8\ub9bc\uc740 \ub3c4\uc2dc\uc758 \ud06c\uae30\uac00 11&times;11\uc774\uba70, \ub3d9\uadf8\ub77c\ubbf8\ub294 \ud604\uc7ac \uc788\ub294 \uc74c\uc2dd\uc810, A \ub610\ub294 B\uac00 \uc4f0\uc5ec \uc788\ub294 \uacf3\uc740 \uc544\ud30c\ud2b8\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uc544\ud30c\ud2b8\uc5d0\ub294 \uc774\ubbf8 \ub808\uc2a4\ud1a0\ub791\uc774 \uc788\ub2e4. \uad50\ucc28\ub85c\ub294 \uc218\uc9c1 \ub3c4\ub85c\uc640 \uc218\ud3c9 \ub3c4\ub85c\uc758 \uc30d\uc744 \uc774\uc6a9\ud574 \uc88c\ud45c\ub85c \ub098\ud0c0\ub0b8\ub2e4. \ub450 \uad50\ucc28\ub85c (x<sub>1<\/sub>, y<sub>1<\/sub>)\uacfc (x<sub>2<\/sub>, y<sub>2<\/sub>)\uc0ac\uc774\uc758 \uac70\ub9ac\ub294 |x<sub>1<\/sub>-x<sub>2<\/sub>| + |y<sub>1<\/sub>-y<sub>2<\/sub>|\uc774\ub2e4. \uc544\ub798 \uadf8\ub9bc\uc5d0\uc11c A\uc640 B\uc758 \uc88c\ud45c\ub294 \uac01\uac01 (0, 5), (10, 5)\uc774\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/dmatlrwja.png\" style=\"height:227px; width:272px\" \/><\/p>\r\n\r\n<p>\uc0c1\uadfc\uc774\ub294 \ub450 \uc544\ud30c\ud2b8\uc5d0 \uc0ac\ub294 \uc0ac\ub78c\uc774 \uc11c\ub85c \uc790\uc8fc \ub9cc\ub09c\ub2e4\ub294 \uac83\uc744 \uc54c\uace0 \uc788\ub2e4. \ub530\ub77c\uc11c, \uc0c8 \uc74c\uc2dd\uc810\uc744 \ub450 \uc544\ud30c\ud2b8\uc758 \uc911\uac04\uc5d0 \ub9cc\ub4dc\ub824\uace0 \ud55c\ub2e4. \ud558\uc9c0\ub9cc, \uc774\ubbf8 \uc788\ub294 \uc74c\uc2dd\uc810\uacfc \uc784\ub300\ube44\ub97c \uc0dd\uac01\ud574\ubcf4\ub2c8 \ubb34\uc870\uac74 \uc911\uac04\uc5d0 \ub9cc\ub4e0\ub2e4\uace0 \uc774\uc775\uc774 \uac00\uc7a5 \ub192\uc740 \uac83\uc740 \uc544\ub2c8\ub77c\ub294 \uc0dd\uac01\uc774 \ub4e4\uc5c8\ub2e4. \ub530\ub77c\uc11c, \uc544\ub798 \uc870\uac74\uc744 \ub9cc\uc871\ud558\ub294 &quot;\uc88b\uc740 \uacf3&quot;\uc744 \ucc3e\uc73c\ub824\uace0 \ud55c\ub2e4. dist(p,q)\ub294 p\uc640 q \uc0ac\uc774\uc758 \uac70\ub9ac\uc774\ub2e4.<\/p>\r\n\r\n<blockquote>p\uac00 &quot;\uc88b\uc740 \uacf3&quot;\uc774 \ub418\ub824\uba74, \uac01\uac01\uc758 \uc774\ubbf8 \uc788\ub294 \uc74c\uc2dd\uc810 q\uc5d0 \ub300\ud574\uc11c, dist(p,A) &lt; dist(q,A) \ub610\ub294 dist(p,B) &lt; dist(q,B)\ub97c \ub9cc\uc871\ud574\uc57c \ud55c\ub2e4. \uc989, dist(p,A) &ge; dist(q,A) \uc640 dist(p,B) &ge; dist(q,B)\ub97c \ub9cc\uc871\ud558\ub294 \uc74c\uc2dd\uc810 q\uac00 \uc788\ub294 \uacbd\uc6b0\uc5d0 p\ub294 &quot;\uc88b\uc740 \uacf3&quot;\uc774 \uc544\ub2c8\ub2e4.<\/blockquote>\r\n\r\n<p>\uc704\uc758 \uadf8\ub9bc\uc5d0\uc11c (7,4)\ub294 &quot;\uc88b\uc740 \uacf3&quot;\uc774\ub2e4. \ud558\uc9c0\ub9cc, p=(4,6)\uc740 q=(3,5) \ub54c\ubb38\uc5d0 \uc88b\uc740 \uacf3\uc774 \uc544\ub2c8\ub2e4. (dist(p,A) = 5 &ge; dist(q,A) = 3, dist(p,B) = 7 &ge; dist(q,B) = 7) (0,0)\ub3c4 (0,5) \ub54c\ubb38\uc5d0 \uc88b\uc740 \uacf3\uc774 \uc544\ub2c8\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uc74c\uc2dd\uc810\uc758 \uc704\uce58\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, &quot;\uc88b\uc740 \uacf3&quot;\uc758 \uac1c\uc218\ub97c \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\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \ub3c4\uc2dc\uc758 \ud06c\uae30 M\uacfc \uc74c\uc2dd\uc810\uc758 \uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (2 &le; M &le; 60,000, 2 &le; n &le; 50,000) \ub2e4\uc74c \uc904\uc5d0\ub294 \uc74c\uc2dd\uc810\uc758 \uc88c\ud45c x<sub>i<\/sub>, y<sub>i<\/sub> (0 &le; x<sub>i<\/sub>, y<sub>i<\/sub> &lt; M)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub450 \uc74c\uc2dd\uc810\uc758 \uc88c\ud45c\uac00 \uac19\uc740 \uacbd\uc6b0\ub294 \uc5c6\uace0, \uc544\ud30c\ud2b8 A\ub294 \uccab \ubc88\uc9f8 \uc74c\uc2dd\uc810, \uc544\ud30c\ud2b8 B\ub294 \ub450 \ubc88\uc9f8 \uc74c\uc2dd\uc810\uc774 \uc788\ub294 \uacf3\uc5d0 \uc788\ub2e4. \ub610, A\uc640 B\ub294 \uac19\uc740 \uc218\ud3c9 \ub3c4\ub85c \uc704\uc5d0 \uc788\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 &quot;\uc88b\uc740 \uacf3&quot;\uc758 \uac1c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"8920","problem_lang":"1","title":"Restaurant","description":"<p>Mr. Kim is planning to open a new restaurant. His city is laid out as a grid with size M&times;M. Therefore, every road is horizontal or vertical and the horizontal roads (resp., the vertical roads) are numbered from 0 to M-1. For profitability, all restaurants are located near road junctions. The city has two big apartments which are located on the same horizontal road. The figure below shows an example of a city map with size 11&times;11. A circle represents an existing restaurant and a circle labeled with &lsquo;A&rsquo; or &lsquo;B&rsquo; represents the location of an apartment. Notice that a restaurant is already located at each apartment. Each road junction is represented by the coordinate of the ordered pair of a vertical road and a horizontal road. The distance between two locations (x1, y1) and (x2, y2) is computed as |x1-x2| + |y1-y2|. In the figure below, the coordinates of A and B are (0, 5) and (10, 5), respectively.&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/dmatlrwja.png\" style=\"height:227px; width:272px\" \/><\/p>\r\n\r\n<p>Mr. Kim knows that the residents of the two apartments frequently have a meeting. So, he thinks that the best location of a new restaurant is halfway between two apartments. Considering lease expenses and existing restaurants, however, he can&rsquo;t select the optimal location unconditionally. Hence he decides to regard a location satisfying the following condition as a good place. Let dist(p, q) be the distance between p and q.&nbsp;<\/p>\r\n\r\n<blockquote>A location p is a good place if for each existing restaurant&rsquo;s location q, dist(p, A) &lt; dist(q, A) or dist(p, B) &lt; dist(q, B). In other words, p is not a good place if there exists an existing restaurant&rsquo;s location q such that dist(p, A) &ge; dist(q, A) and dist(p, B) &ge; dist(q, B).&nbsp;<\/blockquote>\r\n\r\n<p>In the above figure, the location (7, 4) is a good place. But the location p = (4, 6) is not good because there is no apartment which is closer to p than the restaurant at q = (3, 5), i.e., dist(p, A) = 5 &ge; dist(q, A) = 3 and dist(p, B) = 7 &ge; dist(q, B) = 7. Also, the location (0, 0) is not good due to the restaurant at (0, 5). Notice that the existing restaurants are positioned regardless of Mr. Kim&rsquo;s condition.&nbsp;<\/p>\r\n\r\n<p>Given n locations of existing restaurants, write a program to compute the number of good places for a new restaurant.&nbsp;<\/p>\r\n","input":"<p>Your program is to read the input from standard input. The input consists of T test cases. The number of test T cases is given in the first line of the input. Each test case starts with a line containing two integers M and n (2 &le; M &le; 60,000 and 2 &le; n &le; 50,000), which represent the size of a city map and the number of existing restaurants, respectively. The (i+1)-th line of a test case contains two integers x<sub>i<\/sub> and y<sub>i<\/sub> (i = 1, 2, ... , n and 0 &le; x<sub>i<\/sub>, y<sub>i<\/sub> &lt; M), which represents the coordinate of the i-th existing restaurant. Assume that all restaurants have distinct coordinates and that the two apartments A and B are positioned at the locations of 1-st restaurant and 2-nd restaurant. Notice that A and B are placed on the same horizontal line.&nbsp;<\/p>\r\n","output":"<p>Your program is to write to standard output. Print exactly one line for each test case. Print the number of good places which can be found in a given city map.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

ACM-ICPC > Regionals > Asia > Korea > Asia Regional - Daejeon 2010 I번