시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 128 MB7127725.000%

문제

농부 장길산은 자신의 밭을 감싸는 울타리를 관리하고 있다. 밭은 가로 세로 N미터인 정사각형 평지이다. (2 ≤ N ≤ 500000) 밭 경계의 한쪽 끝 좌표는 (0, 0)이며, 맞은편 끝 좌표는 (N, N)이다. 또한 경계는 x, y 축에 평행하다.

울타리를 나타내는 말뚝은 일단 밭의 네 모서리에 박혀 있고, 그 사이 네 변 구간에도 1미터 간격으로 박혀 있다. 따라서 말뚝은 총 4N개가 있다. 이 문제에서 말뚝은 땅 위로 솟아 있는 홀쭉한 선분이며 반지름, 즉 굵기가 없다고 가정한다. 길산은 밭 안 어느 위치에 서서 사방을 돌아볼 때, 거기서 밭의 끝 경계에 있는 말뚝을 몇 개까지 볼 수 있나 알고 싶어 한다.

그의 밭 안에는 R (1 ≤ R ≤ 30000)개의 커다란 바위가 있어서 그의 시야를 일부 가린다. 바위는 밑면과 윗면이 같은 볼록다각형으로 구성된 기둥이며, 높이가 충분히 높기 때문에 길산은 바위 너머로 있는 말뚝을 볼 수 없다. 바위들은 영역이 서로 겹치지 않으며, 꼭짓점이나 선분이 접하지도 않는다. 한 바위가 다른 바위 안이나 위에 있지도 않다.

길산이 가진 밭(울타리)의 크기, 길산이 밭 안에 있는 위치, 그리고 각 바위들에 대한 정보가 들어왔을 때, 그가 그 위치에서 고개만 돌려서 볼 수 있는 울타리 말뚝의 총 개수를 계산하는 프로그램을 작성하시오. 바위를 구성하는 임의의 한 정점과 농부와 일직선을 이루는 말뚝은 농부에게 보이지 않는다.

입력

첫 줄에는 N과 R의 값이 순서대로 들어있다. 다음 줄에는 장길산의 x, y 위치가 순서대로 들어있다. 그리고 다음 줄에는 R개의 바위에 대한 정보가 순서대로 들어온다.

바위에 대한 정보는 다각형을 기술하는 것과 같으므로, 가장 먼저 이 바위의 꼭짓점 개수를 나타내는 p가 있다. (3 ≤ p ≤ 20) 그리고 다음 p 줄에는 다각형을 구성하는 x y 좌표가 순서대로 들어온다. 꼭짓점의 좌표들은 모두 서로 값이 다르며 반시계 방향이다.

아래 예제의 (70, 40), (75, 40), (80, 40)처럼, 정점 좌표가 일직선 상에 있는 경우도 있을 수 있다.

출력

길산이 그 위치에서 볼수 있는 말뚝의 개수를 한 줄에다 출력하면 된다. 아래의 예제를 살펴보면, 농부는 (60, 50) 위치에 있는데 (70, 40) 위치의 바위 꼭짓점 때문에 (100, 10)부터. 또 (70, 60) 위치의 바위 꼭짓점 때문에 (100, 90)까지, 경계에 있는 81개의 말뚝이보이지 않게 된다. 따라서 정답은 400에서 81을 뺀 319이다.

예제 입력 1

100 1
60 50
5
70 40
75 40
80 40
80 50
70 60

예제 출력 1

319

힌트

[{"problem_id":"2017","problem_lang":"0","title":"\uc6b8\ud0c0\ub9ac","description":"<p>\ub18d\ubd80 \uc7a5\uae38\uc0b0\uc740 \uc790\uc2e0\uc758 \ubc2d\uc744 \uac10\uc2f8\ub294 \uc6b8\ud0c0\ub9ac\ub97c \uad00\ub9ac\ud558\uace0 \uc788\ub2e4. \ubc2d\uc740 \uac00\ub85c \uc138\ub85c N\ubbf8\ud130\uc778 \uc815\uc0ac\uac01\ud615 \ud3c9\uc9c0\uc774\ub2e4. (2 &le; N &le; 500000) \ubc2d \uacbd\uacc4\uc758 \ud55c\ucabd \ub05d \uc88c\ud45c\ub294 (0, 0)\uc774\uba70, \ub9de\uc740\ud3b8 \ub05d \uc88c\ud45c\ub294 (N, N)\uc774\ub2e4. \ub610\ud55c \uacbd\uacc4\ub294 x, y \ucd95\uc5d0 \ud3c9\ud589\ud558\ub2e4.<\/p>\r\n\r\n<p>\uc6b8\ud0c0\ub9ac\ub97c \ub098\ud0c0\ub0b4\ub294 \ub9d0\ub69d\uc740 \uc77c\ub2e8 \ubc2d\uc758 \ub124 \ubaa8\uc11c\ub9ac\uc5d0 \ubc15\ud600 \uc788\uace0, \uadf8 \uc0ac\uc774 \ub124 \ubcc0 \uad6c\uac04\uc5d0\ub3c4 1\ubbf8\ud130 \uac04\uaca9\uc73c\ub85c \ubc15\ud600 \uc788\ub2e4. \ub530\ub77c\uc11c \ub9d0\ub69d\uc740 \ucd1d 4N\uac1c\uac00 \uc788\ub2e4. \uc774 \ubb38\uc81c\uc5d0\uc11c \ub9d0\ub69d\uc740 \ub545 \uc704\ub85c \uc19f\uc544 \uc788\ub294 \ud640\ucb49\ud55c \uc120\ubd84\uc774\uba70 \ubc18\uc9c0\ub984, \uc989 \uad75\uae30\uac00 \uc5c6\ub2e4\uace0 \uac00\uc815\ud55c\ub2e4. \uae38\uc0b0\uc740 \ubc2d \uc548 \uc5b4\ub290 \uc704\uce58\uc5d0 \uc11c\uc11c \uc0ac\ubc29\uc744 \ub3cc\uc544\ubcfc \ub54c, \uac70\uae30\uc11c \ubc2d\uc758 \ub05d \uacbd\uacc4\uc5d0 \uc788\ub294 \ub9d0\ub69d\uc744 \uba87 \uac1c\uae4c\uc9c0 \ubcfc \uc218 \uc788\ub098 \uc54c\uace0 \uc2f6\uc5b4 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uadf8\uc758 \ubc2d \uc548\uc5d0\ub294 R (1 &le; R &le; 30000)\uac1c\uc758 \ucee4\ub2e4\ub780 \ubc14\uc704\uac00 \uc788\uc5b4\uc11c \uadf8\uc758 \uc2dc\uc57c\ub97c \uc77c\ubd80 \uac00\ub9b0\ub2e4. \ubc14\uc704\ub294 \ubc11\uba74\uacfc \uc717\uba74\uc774 \uac19\uc740 \ubcfc\ub85d\ub2e4\uac01\ud615\uc73c\ub85c \uad6c\uc131\ub41c \uae30\ub465\uc774\uba70, \ub192\uc774\uac00 \ucda9\ubd84\ud788 \ub192\uae30 \ub54c\ubb38\uc5d0 \uae38\uc0b0\uc740 \ubc14\uc704 \ub108\uba38\ub85c \uc788\ub294 \ub9d0\ub69d\uc744 \ubcfc \uc218 \uc5c6\ub2e4. \ubc14\uc704\ub4e4\uc740 \uc601\uc5ed\uc774 \uc11c\ub85c \uacb9\uce58\uc9c0 \uc54a\uc73c\uba70, \uaf2d\uc9d3\uc810\uc774\ub098 \uc120\ubd84\uc774 \uc811\ud558\uc9c0\ub3c4 \uc54a\ub294\ub2e4. \ud55c \ubc14\uc704\uac00 \ub2e4\ub978 \ubc14\uc704 \uc548\uc774\ub098 \uc704\uc5d0 \uc788\uc9c0\ub3c4 \uc54a\ub2e4.<\/p>\r\n\r\n<p>\uae38\uc0b0\uc774 \uac00\uc9c4 \ubc2d(\uc6b8\ud0c0\ub9ac)\uc758 \ud06c\uae30, \uae38\uc0b0\uc774 \ubc2d \uc548\uc5d0 \uc788\ub294 \uc704\uce58, \uadf8\ub9ac\uace0 \uac01 \ubc14\uc704\ub4e4\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \ub4e4\uc5b4\uc654\uc744 \ub54c, \uadf8\uac00 \uadf8 \uc704\uce58\uc5d0\uc11c \uace0\uac1c\ub9cc \ub3cc\ub824\uc11c \ubcfc \uc218 \uc788\ub294 \uc6b8\ud0c0\ub9ac \ub9d0\ub69d\uc758 \ucd1d \uac1c\uc218\ub97c \uacc4\uc0b0\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \ubc14\uc704\ub97c \uad6c\uc131\ud558\ub294 \uc784\uc758\uc758 \ud55c \uc815\uc810\uacfc \ub18d\ubd80\uc640 \uc77c\uc9c1\uc120\uc744 \uc774\ub8e8\ub294 \ub9d0\ub69d\uc740 \ub18d\ubd80\uc5d0\uac8c \ubcf4\uc774\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0\ub294 N\uacfc R\uc758 \uac12\uc774 \uc21c\uc11c\ub300\ub85c \ub4e4\uc5b4\uc788\ub2e4. \ub2e4\uc74c \uc904\uc5d0\ub294 \uc7a5\uae38\uc0b0\uc758 x, y \uc704\uce58\uac00 \uc21c\uc11c\ub300\ub85c \ub4e4\uc5b4\uc788\ub2e4. \uadf8\ub9ac\uace0 \ub2e4\uc74c \uc904\uc5d0\ub294 R\uac1c\uc758 \ubc14\uc704\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \uc21c\uc11c\ub300\ub85c \ub4e4\uc5b4\uc628\ub2e4.<\/p>\r\n\r\n<p>\ubc14\uc704\uc5d0 \ub300\ud55c \uc815\ubcf4\ub294 \ub2e4\uac01\ud615\uc744 \uae30\uc220\ud558\ub294 \uac83\uacfc \uac19\uc73c\ubbc0\ub85c, \uac00\uc7a5 \uba3c\uc800 \uc774 \ubc14\uc704\uc758 \uaf2d\uc9d3\uc810 \uac1c\uc218\ub97c \ub098\ud0c0\ub0b4\ub294 p\uac00 \uc788\ub2e4. (3 &le; p &le; 20) \uadf8\ub9ac\uace0 \ub2e4\uc74c p \uc904\uc5d0\ub294 \ub2e4\uac01\ud615\uc744 \uad6c\uc131\ud558\ub294 x y \uc88c\ud45c\uac00 \uc21c\uc11c\ub300\ub85c \ub4e4\uc5b4\uc628\ub2e4. \uaf2d\uc9d3\uc810\uc758 \uc88c\ud45c\ub4e4\uc740 \ubaa8\ub450 \uc11c\ub85c \uac12\uc774 \ub2e4\ub974\uba70 \ubc18\uc2dc\uacc4 \ubc29\ud5a5\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc544\ub798 \uc608\uc81c\uc758 (70, 40), (75, 40), (80, 40)\ucc98\ub7fc, \uc815\uc810 \uc88c\ud45c\uac00 \uc77c\uc9c1\uc120 \uc0c1\uc5d0 \uc788\ub294 \uacbd\uc6b0\ub3c4 \uc788\uc744 \uc218 \uc788\ub2e4.<\/p>\r\n","output":"<p>\uae38\uc0b0\uc774 \uadf8 \uc704\uce58\uc5d0\uc11c \ubcfc\uc218 \uc788\ub294 \ub9d0\ub69d\uc758 \uac1c\uc218\ub97c \ud55c \uc904\uc5d0\ub2e4 \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4. \uc544\ub798\uc758 \uc608\uc81c\ub97c \uc0b4\ud3b4\ubcf4\uba74, \ub18d\ubd80\ub294 (60, 50) \uc704\uce58\uc5d0 \uc788\ub294\ub370 (70, 40) \uc704\uce58\uc758 \ubc14\uc704 \uaf2d\uc9d3\uc810 \ub54c\ubb38\uc5d0 (100, 10)\ubd80\ud130. \ub610 (70, 60) \uc704\uce58\uc758 \ubc14\uc704 \uaf2d\uc9d3\uc810 \ub54c\ubb38\uc5d0 (100, 90)\uae4c\uc9c0, \uacbd\uacc4\uc5d0 \uc788\ub294 81\uac1c\uc758 \ub9d0\ub69d\uc774\ubcf4\uc774\uc9c0 \uc54a\uac8c \ub41c\ub2e4. \ub530\ub77c\uc11c \uc815\ub2f5\uc740 400\uc5d0\uc11c 81\uc744 \ube80 319\uc774\ub2e4.<\/p>\r\n","hint":"<p><img alt=\"\" height=\"250\" src=\"\/JudgeOnline\/upload\/201007\/shdqn.png\" width=\"344\" \/><\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"2017","problem_lang":"1","title":"Seeing the Boundary","description":"<p>Farmer Don watches the fence that surrounds his N meter by N meter square, flat field (2 &le; N &le; 500,000). One fence corner is at the origin (0, 0) and the opposite corner is at (N, N); the sides of Farmer Don&#39;s fence are parallel to the X and Y axes.<\/p>\r\n\r\n<p>Fence posts appear at all four corners and also at every meter along each side of the fence, for a total of 4&times;N fence posts. The fence posts are vertical and are considered to have no radius. Farmer Don wants to determine how many of his fence posts he can watch when he stands at a given location within his fence.<\/p>\r\n\r\n<p>Farmer Don&rsquo;s field contains R (1 &le; R &le; 30,000) huge rocks that obscure his view of some fence posts, as he is not tall enough to look over any of these rocks. The base of each rock is a convex polygon with nonzero area whose vertices are at integer coordinates. The rocks stand completely vertical. Rocks do not overlap, do not touch other rocks, and do not touch Farmer Don or the fence. Farmer Don does not touch the fence, does not stand within a rock, and does not stand on a rock.<\/p>\r\n\r\n<p>Given the size of Farmer Don&#39;s fence, the locations and shapes of the rocks within it, and the location where Farmer Don stands, compute the number of fence posts that Farmer Don can see. If a vertex of a rock lines up perfectly with a fence post from Farmer Don&#39;s location, he is not able to see that fence post.<\/p>\r\n","input":"<ul>\r\n\t<li>The first line of input contains two space-separated integers: N and R.<\/li>\r\n\t<li>The next line of input contains two space-separated integers that specify the X and Y coordinates of Farmer Don&#39;s location inside the fence.<\/li>\r\n\t<li>The rest of the input file describes the R rocks:\r\n\t<ul>\r\n\t\t<li>Rock i&rsquo;s description starts with a line containing a single integer pi (3 &pound; pi &pound; 20), the number of vertices in the rock&#39;s base.<\/li>\r\n\t\t<li>Each of the next pi lines contains a space-separated pair of integers that are the X and Y coordinates of a vertex. The vertices of a rock&rsquo;s base are distinct and given in counterclockwise order.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n","output":"<p>The output file should contain a single line with a single integer, the number of fence posts visible to Farmer Don.<\/p>\r\n","hint":"<p><img alt=\"\" src=\"\/upload\/images\/farmer.png\" style=\"height:217px; width:320px\" \/><\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English"}]