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문제

선영이는 창고를 하나 운영하고 있다. 고객이 선영이에게 물건을 주문을 했을 때, 선영이는 물건을 창고에서 찾아서 박스에 포장해 택배로 보낸다.

창고에 보관되는 모든 물건에는 RFID 칩이 하나씩 붙어져 있다. 또, 창고의 천장에는 물건의 위치를 추적하기 위한 센서가 붙여져 있다.

각 센서의 범위는 r이다. 즉, 센서와의 일직선 거리가 많아야 r인 칩의 위치를 알 수 있다는 뜻이다. 하지만, 센서와 물건 사이의 일직선이 벽과 교차하거나 접하는 경우에는 교차하거나 접한 벽의 개수만큼 범위가 줄어든다. 또, 센서가 너무 가까이 있으면 간섭을 일으킬 수 있기 때문에, 모든 센서들 사이의 거리는 적어도 r이다. 센서나 물건이 벽에 위치한 경우는 없다.

각 물건에 대해서, 그 물건의 RFID 칩을 읽을 수 있는 센서를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 테스트 케이스의 개수가 주어진다. 테스트 케이스는 100개를 넘지 않는다.

각 테스트 케이스의 첫째 줄에는 센서의 수 s, 센서의 범위 r, 벽의 수 w, 물건의 수 p가 주어진다. (1 ≤ s ≤ 250,000, 1 ≤ r ≤ 20, 0 ≤ w ≤ 10, 1 ≤ p ≤ 10,000)

다음 s개 줄에는 센서의 위치 (xi, yi)가 주어진다. 각 센서 간의 거리는 적어도 r이다. (-10,000 ≤ xi, yi ≤ 10,000)

다음 w개 줄에는 네 정수 bxi, byi, exi, eyi가 주어진다. (-10,000 ≤ bxi, byi, exi, eyi ≤ 10,000) 벽은 (bxi, byi)와 (exi, eyi)를 잇는 선분이고, 선분의 길이는 양수이다.

마지막 p개 줄에는 물건의 위치 (pxi, pyi)가 주어진다. (-10,000 ≤ pxi, pyi ≤ 10,000)

출력

각 테스트 케이스에 대해서, 각 물건을 감지할 수 있는 센서의 개수와 위치를 출력한다. 만약, 센서가 여러 개라면, x좌표가 증가하는 순으로, x좌표가 같으면 y좌표가 증가하는 순으로 출력한다.

예제 입력 1

1
4 3 4 7
0 0
-1 3
2 3
11 5
-4 -1 5 -1
3 4 6 1
11 4 11 3
12 5 12 8
1 1
0 -2
4 4
11 2
13 5
13 7
14 5

예제 출력 1

3 (-1,3) (0,0) (2,3)
1 (0,0)
0
0
1 (11,5)
0
0

힌트

[{"problem_id":"3659","problem_lang":"0","title":"RFID \ucd94\uc801","description":"<p>\uc120\uc601\uc774\ub294 \ucc3d\uace0\ub97c \ud558\ub098 \uc6b4\uc601\ud558\uace0 \uc788\ub2e4. \uace0\uac1d\uc774 \uc120\uc601\uc774\uc5d0\uac8c \ubb3c\uac74\uc744 \uc8fc\ubb38\uc744 \ud588\uc744 \ub54c, \uc120\uc601\uc774\ub294 \ubb3c\uac74\uc744 \ucc3d\uace0\uc5d0\uc11c \ucc3e\uc544\uc11c \ubc15\uc2a4\uc5d0 \ud3ec\uc7a5\ud574 \ud0dd\ubc30\ub85c \ubcf4\ub0b8\ub2e4.<\/p>\r\n\r\n<p>\ucc3d\uace0\uc5d0 \ubcf4\uad00\ub418\ub294 \ubaa8\ub4e0 \ubb3c\uac74\uc5d0\ub294 RFID \uce69\uc774 \ud558\ub098\uc529 \ubd99\uc5b4\uc838 \uc788\ub2e4. \ub610, \ucc3d\uace0\uc758 \ucc9c\uc7a5\uc5d0\ub294 \ubb3c\uac74\uc758 \uc704\uce58\ub97c \ucd94\uc801\ud558\uae30 \uc704\ud55c \uc13c\uc11c\uac00 \ubd99\uc5ec\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uac01 \uc13c\uc11c\uc758 \ubc94\uc704\ub294 r\uc774\ub2e4. \uc989, \uc13c\uc11c\uc640\uc758 \uc77c\uc9c1\uc120 \uac70\ub9ac\uac00 \ub9ce\uc544\uc57c r\uc778 \uce69\uc758 \uc704\uce58\ub97c \uc54c \uc218 \uc788\ub2e4\ub294 \ub73b\uc774\ub2e4. \ud558\uc9c0\ub9cc, \uc13c\uc11c\uc640 \ubb3c\uac74 \uc0ac\uc774\uc758 \uc77c\uc9c1\uc120\uc774 \ubcbd\uacfc \uad50\ucc28\ud558\uac70\ub098 \uc811\ud558\ub294 \uacbd\uc6b0\uc5d0\ub294 \uad50\ucc28\ud558\uac70\ub098 \uc811\ud55c&nbsp;\ubcbd\uc758 \uac1c\uc218\ub9cc\ud07c \ubc94\uc704\uac00 \uc904\uc5b4\ub4e0\ub2e4. \ub610, \uc13c\uc11c\uac00 \ub108\ubb34 \uac00\uae4c\uc774 \uc788\uc73c\uba74 \uac04\uc12d\uc744 \uc77c\uc73c\ud0ac \uc218 \uc788\uae30 \ub54c\ubb38\uc5d0, \ubaa8\ub4e0 \uc13c\uc11c\ub4e4 \uc0ac\uc774\uc758 \uac70\ub9ac\ub294 \uc801\uc5b4\ub3c4 r\uc774\ub2e4. \uc13c\uc11c\ub098 \ubb3c\uac74\uc774 \ubcbd\uc5d0 \uc704\uce58\ud55c \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ubb3c\uac74\uc5d0 \ub300\ud574\uc11c, \uadf8 \ubb3c\uac74\uc758 RFID \uce69\uc744 \uc77d\uc744 \uc218 \uc788\ub294 \uc13c\uc11c\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\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 100\uac1c\ub97c \ub118\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \uc13c\uc11c\uc758 \uc218 s, \uc13c\uc11c\uc758 \ubc94\uc704 r, \ubcbd\uc758 \uc218 w, \ubb3c\uac74\uc758 \uc218 p\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; s &le; 250,000, 1 &le; r &le; 20, 0 &le; w &le; 10, 1 &le; p &le; 10,000)<\/p>\r\n\r\n<p>\ub2e4\uc74c s\uac1c \uc904\uc5d0\ub294 \uc13c\uc11c\uc758 \uc704\uce58 (xi, yi)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uc13c\uc11c \uac04\uc758 \uac70\ub9ac\ub294 \uc801\uc5b4\ub3c4 r\uc774\ub2e4. (-10,000 &le; xi, yi &le; 10,000)<\/p>\r\n\r\n<p>\ub2e4\uc74c w\uac1c \uc904\uc5d0\ub294 \ub124 \uc815\uc218 bxi, byi, exi, eyi\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (-10,000 &le; bxi, byi, exi, eyi &le; 10,000) \ubcbd\uc740 (bxi, byi)\uc640 (exi, eyi)\ub97c \uc787\ub294 \uc120\ubd84\uc774\uace0, \uc120\ubd84\uc758 \uae38\uc774\ub294 \uc591\uc218\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub9c8\uc9c0\ub9c9 p\uac1c \uc904\uc5d0\ub294 \ubb3c\uac74\uc758 \uc704\uce58 (pxi, pyi)\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (-10,000 &le; pxi, pyi &le; 10,000)<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c, \uac01 \ubb3c\uac74\uc744 \uac10\uc9c0\ud560 \uc218 \uc788\ub294 \uc13c\uc11c\uc758 \uac1c\uc218\uc640 \uc704\uce58\ub97c \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d, \uc13c\uc11c\uac00 \uc5ec\ub7ec \uac1c\ub77c\uba74, x\uc88c\ud45c\uac00 \uc99d\uac00\ud558\ub294 \uc21c\uc73c\ub85c, x\uc88c\ud45c\uac00 \uac19\uc73c\uba74 y\uc88c\ud45c\uac00 \uc99d\uac00\ud558\ub294 \uc21c\uc73c\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p><img alt=\"\" src=\"\/upload\/images\/rfid.png\" style=\"height:234px; width:434px\" \/><\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"3659","problem_lang":"1","title":"Tracking RFIDs","description":"<p>Jeroen operates a warehouse storage facility for the North Western Electrical Resource Company (NWERC). When a customer places an order with NWERC, this order is conveyed to the warehouse. Jeroen&rsquo;s task is to then \ufb01nd the products ordered, pack them into a box, and ship them to the customer.<\/p>\r\n\r\n<p>NWERC has an unusual warehouse policy: the products are not arranged in any particular order, and are strewn all over the place. However, it is possible for Jeroen to do his job because each product is tracked using RFID technology. Speci\ufb01cally, each product is assigned a wireless RFID chip as soon as it enters the warehouse, and sensors located on the warehouse ceiling are used to automatically track the products.<\/p>\r\n\r\n<p>By default, each sensor has a range of r units &ndash; that is, it can read any RFID chip that is located at most r units from it in a straight line. However, if the line segment between a sensor and a product intersects with or touches x walls, the range of the sensor is reduced by x units in that direction. Furthermore, the sensors may fail to read an RFID chip due to interference from other sensors, so the distance between any pair of sensors in the warehouse is guaranteed to be at least r units. You may further assume that no sensor or product is placed on a wall.<\/p>\r\n\r\n<p>Jeroen now wants to determine, for each product, which sensors can read its RFID chip. Can you help him?<\/p>\r\n","input":"<p>On the \ufb01rst line one positive integer: the number of test cases, at most 100. After that per test case:<\/p>\r\n\r\n<ul>\r\n\t<li>one line with four integers s (1 &le; s &le; 250 000), r (1 &le; r &le; 20), w (0 &le; w &le; 10) and p(1 &le; p &le; 10 000) where s represents the number of sensors, r the range of each sensor, w the number of walls and p the number of products.<\/li>\r\n\t<li>s lines containing two integers xi and yi (-10 000 &le; xi, yi &le; 10 000). Each such line represents a sensor at location (xi, yi). The distance between any pair of sensors is guaranteed to be at least r units.\u000f<\/li>\r\n\t<li>w lines containing four integers bxi, byi, exi and eyi (-10 000 &le; bxi, byi, exi, eyi &le; 10 000). Each such line represents a wall, which should be considered as straight line segment from (bxi, byi) to (exi, eyi). The length of this line segment will be positive.<\/li>\r\n\t<li>p lines, each containing two integers pxi and pyi (-10 000 &le; pxi, pyi &le; 10 000). Each such line represents a product at location (pxi, pyi).<\/li>\r\n<\/ul>\r\n","output":"<p>Per test case:<\/p>\r\n\r\n<ul>\r\n\t<li>p lines, each representing a product in the order they appear in the input. Each line should contain an integert, the number of sensors that can track the product; this integer should then be followed by a list of t ordered pairs representing the corresponding sensor locations. If there are multiple sensors, they should be sorted in increasing order by x-coordinate. If multiple sensors have the same x-coordinate, they should be sorted in increasing order by y-coordinate.<\/li>\r\n<\/ul>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > Europe > Northwestern European Regional Contest > NWERC 2011 I번

  • 문제를 번역한 사람: baekjoon
  • 문제의 오타를 찾은 사람: mitslll