시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 1 1 1 100.000%

문제

결과 발표도 끝났고, 이제 대회에서 가장 중요한 시간인 피자를 먹는 시간이 되었다.

하지만 피자가 이상하게 생긴 탓에 또 코딩을 해야 한다.

피자 위엔 너겟이 몇 개 올라가 있으며, 피자는 원형이다.

피자를 자를 때는 다음의 세 조건을 만족해야 한다.

  • 피자는 피자의 반지름을 따라서만 자를 수 있다.
  • 너겟을 자르는 일은 절대로 있어서는 안 된다
  • 피자가 다 잘린 뒤 만들어진 모든 조각의 크기는 동일해야 하며, 각 조각에 놓인 너겟의 수 또한 동일해야 한다.

대회도 끝났는데 고작 너겟 때문에 싸움이 나게 생겼다. 대회 참가자가 많다보니 당신은 피자를 가능한 한 최대한 많은 조각으로 자르고 싶다. 빨리 프로그램을 작성하여 피자를 적절히 잘라보도록 하자.

피자를 안 자를 수도 있다. 이 경우에, 피자는 총 1조각이 된다.

입력

첫 줄에 테스트 케이스의 수 K가 주어진다.

각 테스트 케이스의 첫 줄엔 너겟의 수 N이 주어진다.

이어 N줄에 걸쳐 너겟의 위치가 α r 의 형식으로 주어진다.

α는 0 ≤ α < 2π 를 만족하며, 피자의 중심에서 반시계방향으로 잰 각도이다.

r은 0 < r ≤ 1 을 만족하며, 피자의 중심으로부터 너겟이 떨어진 거리이다.

피자의 반지름은 1이다.

너겟은 매우 작은 하나의 점으로 생각해도 무방하며, 어떤 두 너겟도 같은 위치에 존재하지 않는다.

출력

각 테스트 케이스마다 Data Set K: 를 출력한 뒤,

피자를 가장 많은 조각으로 나누었을 때의 조각 수 s에 대해 "s slices" (따옴표 제외)를 출력한다.

각 테스트 케이스의 사이엔 빈 줄을 하나 출력한다.

예제 입력 1

2
2
1.57 0.5
1.57 0.7
4
0.7 0.9
1.5 0.1
1.8 0.5
3.05 1.0

예제 출력 1

Data Set 1: 1 slices

Data Set 2: 2 slices

힌트

출력의 문법적 오류에 대해선 신경쓰지 말자.

[{"problem_id":"5180","problem_lang":"0","title":"\ud53c\uc790!","description":"<p>\uacb0\uacfc \ubc1c\ud45c\ub3c4 \ub05d\ub0ac\uace0, \uc774\uc81c \ub300\ud68c\uc5d0\uc11c \uac00\uc7a5 \uc911\uc694\ud55c \uc2dc\uac04\uc778 \ud53c\uc790\ub97c \uba39\ub294 \uc2dc\uac04\uc774 \ub418\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\ud558\uc9c0\ub9cc \ud53c\uc790\uac00 \uc774\uc0c1\ud558\uac8c \uc0dd\uae34 \ud0d3\uc5d0 \ub610 \ucf54\ub529\uc744 \ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ud53c\uc790 \uc704\uc5d4 \ub108\uac9f\uc774 \uba87 \uac1c \uc62c\ub77c\uac00 \uc788\uc73c\uba70, \ud53c\uc790\ub294 \uc6d0\ud615\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud53c\uc790\ub97c \uc790\ub97c \ub54c\ub294 \ub2e4\uc74c\uc758 \uc138 \uc870\uac74\uc744 \ub9cc\uc871\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ud53c\uc790\ub294 \ud53c\uc790\uc758 \ubc18\uc9c0\ub984\uc744 \ub530\ub77c\uc11c\ub9cc \uc790\ub97c \uc218 \uc788\ub2e4.<\/li>\r\n\t<li>\ub108\uac9f\uc744 \uc790\ub974\ub294 \uc77c\uc740 \uc808\ub300\ub85c \uc788\uc5b4\uc11c\ub294 \uc548 \ub41c\ub2e4<\/li>\r\n\t<li>\ud53c\uc790\uac00 \ub2e4 \uc798\ub9b0 \ub4a4 \ub9cc\ub4e4\uc5b4\uc9c4 \ubaa8\ub4e0 \uc870\uac01\uc758 \ud06c\uae30\ub294 \ub3d9\uc77c\ud574\uc57c \ud558\uba70, \uac01 \uc870\uac01\uc5d0 \ub193\uc778 \ub108\uac9f\uc758 \uc218 \ub610\ud55c \ub3d9\uc77c\ud574\uc57c \ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ub300\ud68c\ub3c4 \ub05d\ub0ac\ub294\ub370 \uace0\uc791 \ub108\uac9f \ub54c\ubb38\uc5d0 \uc2f8\uc6c0\uc774 \ub098\uac8c \uc0dd\uacbc\ub2e4. \ub300\ud68c \ucc38\uac00\uc790\uac00 \ub9ce\ub2e4\ubcf4\ub2c8 \ub2f9\uc2e0\uc740 \ud53c\uc790\ub97c \uac00\ub2a5\ud55c \ud55c \ucd5c\ub300\ud55c \ub9ce\uc740 \uc870\uac01\uc73c\ub85c \uc790\ub974\uace0 \uc2f6\ub2e4. \ube68\ub9ac \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc5ec \ud53c\uc790\ub97c \uc801\uc808\ud788 \uc798\ub77c\ubcf4\ub3c4\ub85d \ud558\uc790.<\/p>\r\n\r\n<p>\ud53c\uc790\ub97c \uc548 \uc790\ub97c \uc218\ub3c4 \uc788\ub2e4. \uc774 \uacbd\uc6b0\uc5d0, \ud53c\uc790\ub294 \ucd1d 1\uc870\uac01\uc774 \ub41c\ub2e4.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 K\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab \uc904\uc5d4 \ub108\uac9f\uc758 \uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc774\uc5b4 N\uc904\uc5d0 \uac78\uccd0 \ub108\uac9f\uc758 \uc704\uce58\uac00 &alpha; r \uc758 \ud615\uc2dd\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>&alpha;\ub294 0 &le; &alpha; &lt; 2&pi; \ub97c \ub9cc\uc871\ud558\uba70, \ud53c\uc790\uc758 \uc911\uc2ec\uc5d0\uc11c \ubc18\uc2dc\uacc4\ubc29\ud5a5\uc73c\ub85c \uc7b0 \uac01\ub3c4\uc774\ub2e4.<\/p>\r\n\r\n<p>r\uc740 0 &lt; r &le; 1 \uc744 \ub9cc\uc871\ud558\uba70, \ud53c\uc790\uc758 \uc911\uc2ec\uc73c\ub85c\ubd80\ud130 \ub108\uac9f\uc774 \ub5a8\uc5b4\uc9c4 \uac70\ub9ac\uc774\ub2e4.<\/p>\r\n\r\n<p>\ud53c\uc790\uc758 \ubc18\uc9c0\ub984\uc740 1\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub108\uac9f\uc740 \ub9e4\uc6b0 \uc791\uc740 \ud558\ub098\uc758 \uc810\uc73c\ub85c \uc0dd\uac01\ud574\ub3c4 \ubb34\ubc29\ud558\uba70, \uc5b4\ub5a4 \ub450 \ub108\uac9f\ub3c4 \uac19\uc740 \uc704\uce58\uc5d0 \uc874\uc7ac\ud558\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 Data Set K: \ub97c \ucd9c\ub825\ud55c \ub4a4,<\/p>\r\n\r\n<p>\ud53c\uc790\ub97c \uac00\uc7a5 \ub9ce\uc740 \uc870\uac01\uc73c\ub85c \ub098\ub204\uc5c8\uc744 \ub54c\uc758 \uc870\uac01 \uc218 s\uc5d0 \ub300\ud574 &quot;s slices&quot; (\ub530\uc634\ud45c \uc81c\uc678)\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc0ac\uc774\uc5d4 \ube48 \uc904\uc744 \ud558\ub098 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\ucd9c\ub825\uc758 \ubb38\ubc95\uc801 \uc624\ub958\uc5d0 \ub300\ud574\uc120 \uc2e0\uacbd\uc4f0\uc9c0 \ub9d0\uc790.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"5180","problem_lang":"1","title":"Pizza!","description":"<p>Finally, we get to the most important part of the contest: Eating the pizza. But even here, problems are lurking! The pizza has delicious soy nuggets on it, but it isn&rsquo;t cut yet. So we have to cut it into slices. There are two important constraints we have to meet: every slice must have the same size, and every slice must have the same number of soy nuggets on it. To make things worse, the pizza is circular, and we can only cut along a straight line from the center of the circle to its circumference. And we can never cut through a soy nugget, it must always be on one side of the cut or the other.<\/p>\r\n\r\n<p>You are to write a program that, given the positions of the soy nuggets, determines which is the largest number of slices into which the pizza can be cut such that every piece has the same size and the same number of soy nuggets (notice that a pizza can always be cut into 1 slice &mdash; so there always is a solution.)<\/p>\r\n","input":"<p>The first line is the number K of input data sets, followed by K data sets, each of the following form:<\/p>\r\n\r\n<p>The first line contains the number N of soy nuggets on the pizza (1 &le; N &le; 200). This is followed by N lines, describing the positions of the soy nuggets. Each position is given in polar coordinates, measured from the center of the pizza. That is, a position is a pair &ldquo;&alpha; r&rdquo;, where 0 &le; &alpha; &lt; 2&pi; is the counterclockwise angle between the positive x-axis and the line from the pizza center to the soy nugget. 0 &lt; r &le; 1 is the distance of the nugget from the center (each pizza will have radius 1). We assume that nuggets are points, and no two nuggets will be lying on the same spot of the pizza.<\/p>\r\n","output":"<p>For each data set, output its number, followed by the maximum number of slices into which it can be cut according to the above rules. Remember that no cut can go through a soy nugget. Output for different data sets should be separated by an empty line.<\/p>\r\n","hint":"<p>Don&rsquo;t worry about the grammar in the output.<\/p>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

University > The USC Programming Contest > Fall 2007 F번