시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
5 초 128 MB 1108 261 166 20.907%

문제

매우 드물고 비싼 금속을 지하에서 찾아냈다. 금속은 땅 속에 넓게 흩어져 있기 때문에 신중하게 채굴 계획을 세우려고 한다. 따라서, 그림 1과 같이 수직 엘리베이터(vertical elevator)로 연결된 여러 개의 수평 터널(horizontal tunnel)을 만들기로 했다. 모든 엘리베이터는 한 터널의 오른쪽 끝과 다른 터널의 왼쪽 끝을 연결한다. 또, 터널과 엘리베이터의 연결 구조는 땅에 대해서 단조로워야 한다. 즉, 가장 왼쪽에 있는 터널의 끝에서 시작해서 가장 오른족에 있는 터널의 끝에 이동할 때, 다시 왼쪽으로 이동하는 일 없이 모든 터널을 지날 수 있어야 한다.

예산이 제한되어 있기 때문에, 수평 터널을 k개만 만들기로 했다. (k는 양의 정수) 따라서, 수평 터널을 연결할 수직 엘리베이터는 최대 k-1개 만들 수 있다. 이제, 수평 터널과 각각의 금속을 연결하는 수직 터널을 만들어야 한다. 한 금속을 채굴하는데 드는 비용은 수평 터널과의 수직 거리이다. 금속 n개를 채굴하는데 필요한 비용은 각 금속의 채굴 비용 중 최대값이다.

그림 1. 금속이 15개, k=3인 경우의 채굴 계획. 이 계획에서 최대 거리는 오른쪽 빨간색으로 표시된 거리이고, 그 거리가 이 계획의 채굴 비용이다.

그림 1과 같이, 각 금속은 2차원 평면 위의 점으로 나타낼 수 있고, 수평 터널은 수평선, 수직 터널과 엘리베이터는 수직선으로 나타낼 수 있다. 점 n개 P = {p1, p2, ..., pn}와 양의 정수 k가 주어진다. 이 때, 금속 pi를 채굴하는데 필요한 비용 cost(pi)은 수평 터널과 떨어진 수직 거리이다. P = {p1, p2, ... pn}의 채굴 비용 cost(P)는 모든 cost(Pi)중 최대값 (max1≤i≤ncost(pi)) 이다. 이 때, cost(P)를 최소로 만드는 (최대) k개 수평 터널의 위치를 결정해야 한다.

점 n개의 집합 P와 양의 정수 k가 주어졌을 때, cost(P)의 최소값을 구하는 프로그램을 작성하시오.

입력

첫째 줄에 테스트 케이스의 개수 T가 주어진다. 각 테스트 케이스의 첫째 줄에는 점(금속)의 개수 n과 k가 주어진다. (2 ≤ n ≤ 10,000) 다음 줄에는 점 p1, p2, ..., pn의 좌표를 나타내는 정수 2n개 (x1, y1), (x2, y2), ..., (xn, yn)이 주어진다. (-100,000,000 ≤ xi, yi ≤ 100,000,000) 모든 좌표는 공백으로 구분되어 있고, 두 점이 같은 x좌표를 갖는 경우는 없다.

출력

각 테스트 케이스마다 cost(P)의 최소값을 출력한다. 항상 소수점 둘째 자리에서 반올림해서 첫째 자리까지 출력한다.

예제 입력 1

2
3 1
-1 0 0 0 1 0
5 2
2 5 9 2 6 3 -2 2 7 0

예제 출력 1

0.0
1.5
[{"problem_id":"9460","problem_lang":"0","title":"\uba54\ud0c8","description":"<p>\ub9e4\uc6b0 \ub4dc\ubb3c\uace0 \ube44\uc2fc \uae08\uc18d\uc744 \uc9c0\ud558\uc5d0\uc11c \ucc3e\uc544\ub0c8\ub2e4. \uae08\uc18d\uc740 \ub545 \uc18d\uc5d0 \ub113\uac8c \ud769\uc5b4\uc838 \uc788\uae30 \ub54c\ubb38\uc5d0 \uc2e0\uc911\ud558\uac8c \ucc44\uad74 \uacc4\ud68d\uc744 \uc138\uc6b0\ub824\uace0 \ud55c\ub2e4. \ub530\ub77c\uc11c, \uadf8\ub9bc 1\uacfc \uac19\uc774 \uc218\uc9c1 \uc5d8\ub9ac\ubca0\uc774\ud130(vertical elevator)\ub85c \uc5f0\uacb0\ub41c \uc5ec\ub7ec \uac1c\uc758 \uc218\ud3c9 \ud130\ub110(horizontal tunnel)\uc744 \ub9cc\ub4e4\uae30\ub85c \ud588\ub2e4. \ubaa8\ub4e0 \uc5d8\ub9ac\ubca0\uc774\ud130\ub294 \ud55c \ud130\ub110\uc758 \uc624\ub978\ucabd \ub05d\uacfc \ub2e4\ub978 \ud130\ub110\uc758 \uc67c\ucabd \ub05d\uc744 \uc5f0\uacb0\ud55c\ub2e4. \ub610, \ud130\ub110\uacfc \uc5d8\ub9ac\ubca0\uc774\ud130\uc758 \uc5f0\uacb0 \uad6c\uc870\ub294 \ub545\uc5d0 \ub300\ud574\uc11c \ub2e8\uc870\ub85c\uc6cc\uc57c \ud55c\ub2e4. \uc989, \uac00\uc7a5 \uc67c\ucabd\uc5d0 \uc788\ub294 \ud130\ub110\uc758 \ub05d\uc5d0\uc11c \uc2dc\uc791\ud574\uc11c \uac00\uc7a5 \uc624\ub978\uc871\uc5d0 \uc788\ub294 \ud130\ub110\uc758 \ub05d\uc5d0 \uc774\ub3d9\ud560 \ub54c, \ub2e4\uc2dc \uc67c\ucabd\uc73c\ub85c \uc774\ub3d9\ud558\ub294 \uc77c \uc5c6\uc774 \ubaa8\ub4e0 \ud130\ub110\uc744 \uc9c0\ub0a0 \uc218 \uc788\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc608\uc0b0\uc774 \uc81c\ud55c\ub418\uc5b4 \uc788\uae30 \ub54c\ubb38\uc5d0, \uc218\ud3c9 \ud130\ub110\uc744 k\uac1c\ub9cc \ub9cc\ub4e4\uae30\ub85c \ud588\ub2e4. (k\ub294 \uc591\uc758 \uc815\uc218) \ub530\ub77c\uc11c, \uc218\ud3c9 \ud130\ub110\uc744 \uc5f0\uacb0\ud560 \uc218\uc9c1 \uc5d8\ub9ac\ubca0\uc774\ud130\ub294 \ucd5c\ub300 k-1\uac1c \ub9cc\ub4e4 \uc218 \uc788\ub2e4. \uc774\uc81c, \uc218\ud3c9 \ud130\ub110\uacfc \uac01\uac01\uc758 \uae08\uc18d\uc744 \uc5f0\uacb0\ud558\ub294 \uc218\uc9c1 \ud130\ub110\uc744 \ub9cc\ub4e4\uc5b4\uc57c \ud55c\ub2e4. \ud55c \uae08\uc18d\uc744 \ucc44\uad74\ud558\ub294\ub370 \ub4dc\ub294 \ube44\uc6a9\uc740 \uc218\ud3c9 \ud130\ub110\uacfc\uc758 \uc218\uc9c1 \uac70\ub9ac\uc774\ub2e4. \uae08\uc18d n\uac1c\ub97c \ucc44\uad74\ud558\ub294\ub370 \ud544\uc694\ud55c \ube44\uc6a9\uc740 \uac01 \uae08\uc18d\uc758 \ucc44\uad74 \ube44\uc6a9 \uc911 \ucd5c\ub300\uac12\uc774\ub2e4.<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images\/metal.png\" style=\"height:361px; width:670px\" \/><\/p>\r\n\r\n<p>\uadf8\ub9bc 1. \uae08\uc18d\uc774 15\uac1c, k=3\uc778 \uacbd\uc6b0\uc758 \ucc44\uad74 \uacc4\ud68d. \uc774 \uacc4\ud68d\uc5d0\uc11c \ucd5c\ub300 \uac70\ub9ac\ub294 \uc624\ub978\ucabd \ube68\uac04\uc0c9\uc73c\ub85c \ud45c\uc2dc\ub41c \uac70\ub9ac\uc774\uace0, \uadf8 \uac70\ub9ac\uac00 \uc774 \uacc4\ud68d\uc758 \ucc44\uad74 \ube44\uc6a9\uc774\ub2e4.<\/p>\r\n\r\n<p>\uadf8\ub9bc 1\uacfc \uac19\uc774, \uac01 \uae08\uc18d\uc740 2\ucc28\uc6d0 \ud3c9\uba74 \uc704\uc758 \uc810\uc73c\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\uace0, \uc218\ud3c9 \ud130\ub110\uc740 \uc218\ud3c9\uc120, \uc218\uc9c1 \ud130\ub110\uacfc \uc5d8\ub9ac\ubca0\uc774\ud130\ub294 \uc218\uc9c1\uc120\uc73c\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4. \uc810 n\uac1c P = {p<sub>1<\/sub>, p<sub>2<\/sub>, ..., p<sub>n<\/sub>}\uc640 \uc591\uc758 \uc815\uc218 k\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \ub54c, \uae08\uc18d p<sub>i<\/sub>\ub97c \ucc44\uad74\ud558\ub294\ub370 \ud544\uc694\ud55c \ube44\uc6a9 cost(p<sub>i<\/sub>)\uc740 \uc218\ud3c9 \ud130\ub110\uacfc \ub5a8\uc5b4\uc9c4 \uc218\uc9c1 \uac70\ub9ac\uc774\ub2e4. P = {p<sub>1<\/sub>, p<sub>2<\/sub>, ... p<sub>n<\/sub>}\uc758 \ucc44\uad74 \ube44\uc6a9 cost(P)\ub294 \ubaa8\ub4e0 cost(P<sub>i<\/sub>)\uc911 \ucd5c\ub300\uac12 (max<sub>1&le;i&le;n<\/sub>cost(p<sub>i<\/sub>)) \uc774\ub2e4. \uc774 \ub54c, cost(P)\ub97c \ucd5c\uc18c\ub85c \ub9cc\ub4dc\ub294 (\ucd5c\ub300) k\uac1c \uc218\ud3c9 \ud130\ub110\uc758 \uc704\uce58\ub97c \uacb0\uc815\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc810 n\uac1c\uc758 \uc9d1\ud569 P\uc640 \uc591\uc758 \uc815\uc218 k\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, cost(P)\uc758 \ucd5c\uc18c\uac12\uc744 \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 \uc810(\uae08\uc18d)\uc758 \uac1c\uc218 n\uacfc k\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (2 &le; n &le; 10,000) \ub2e4\uc74c \uc904\uc5d0\ub294 \uc810 p<sub>1<\/sub>, p<sub>2<\/sub>, ..., p<sub>n<\/sub>\uc758 \uc88c\ud45c\ub97c \ub098\ud0c0\ub0b4\ub294 \uc815\uc218 2n\uac1c (x<sub>1<\/sub>, y<sub>1<\/sub>), (x<sub>2<\/sub>, y<sub>2<\/sub>), ..., (x<sub>n<\/sub>, y<sub>n<\/sub>)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (-100,000,000 &le; x<sub>i<\/sub>, y<sub>i<\/sub> &le; 100,000,000) \ubaa8\ub4e0 \uc88c\ud45c\ub294 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc788\uace0, \ub450 \uc810\uc774 \uac19\uc740 x\uc88c\ud45c\ub97c \uac16\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 cost(P)\uc758 \ucd5c\uc18c\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4. \ud56d\uc0c1 \uc18c\uc218\uc810 \ub458\uc9f8 \uc790\ub9ac\uc5d0\uc11c \ubc18\uc62c\ub9bc\ud574\uc11c \uccab\uc9f8 \uc790\ub9ac\uae4c\uc9c0 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"9460","problem_lang":"1","title":"Metal","description":"<p>We found rare and valuable metals under the ground. The metals are widely scattered underground, so we need a careful plan to dig them. For this, we are going to build a number of horizontal tunnels connected by vertical elevators, as in Figure 1. Every vertical elevator connects the right end of a tunnel to the left end of another tunnel. Furthermore, the connected chain of tunnels and elevators should be monotone to the ground, i.e., when one traverses the chain from the leftmost end of the tunnels to the rightmost end of the tunnels, one passes through all the tunnels without going back to the left.&nbsp;<br \/>\r\n&nbsp;<br \/>\r\nDue to the limit of the budget, we can construct at most k horizontal tunnels for some positive integer k. Thus at most k-1 vertical elevators connecting them are used. We now construct an additional vertical tunnel connecting each metal to the horizontal tunnels. The digging cost of a metal is defined as its vertical distance from the horizontal tunnel. The digging cost for n metals is defined as the maximum digging cost of the metals.&nbsp;<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"\/upload\/images\/metal.png\" style=\"height:361px; opacity:0.9; text-align:center; width:670px\" \/><\/p>\r\n\r\n<p>Figure 1. A digging plan for 15 metals for k=3. The vertical distance from the rightmost horizontal tunnel to the lowest metal is the maximum distance in this plan, which determines the digging cost for the metals.&nbsp;<\/p>\r\n\r\n<p>More formally, as in Figure 1, each metal is represented as a point in the two dimensional plane, a horizontal tunnel as a horizontal line segment, a vertical tunnel as a vertical line segment, and an elevator as a vertical line segment. You are given a set of n points, {p<sub>1<\/sub>, p<sub>2<\/sub>, ..., p<sub>n<\/sub>}, where p<sub>i<\/sub> has x-coordinate x<sub>i<\/sub> and y-coordinate y<sub>i<\/sub>, and the positive integer k, the maximum number of horizontal tunnels. The digging cost of a metal p<sub>i<\/sub>, cost(p<sub>i<\/sub>), is the vertical distance to the horizontal tunnels. The digging cost of P = {p<sub>1<\/sub>, p<sub>2<\/sub>, ..., p<sub>n<\/sub>}, cost(P), is defined as the maximum cost of cost(p<sub>i<\/sub>) over all i, i.e., cost(P) = max<sub>1&le;i&le;n<\/sub>cost(p<sub>i<\/sub>). The goal is to determine the position of (at most) k horizontal tunnels such that cost(P) is minimized.&nbsp;<br \/>\r\n&nbsp;<br \/>\r\nGiven a set P of n points and a positive integer k, you write a program to compute the minimum value of cost(P).&nbsp;<\/p>\r\n","input":"<p>Your program is to read from standard input. The input consists of T test cases. The number of test cases T is given in the first line of the input. Each test case starts with a line containing two positive integers, n (2 &le; n &le; 10,000) and k, where n is the number of points (metals) and k is the maximum number of horizontal tunnels to be used. The next line contains 2n integers, (x<sub>1<\/sub>, y<sub>1<\/sub>), (x<sub>2<\/sub>, y<sub>2<\/sub>), ..., (x<sub>n<\/sub>, y<sub>n<\/sub>), which respectively represent the coordinates of the points p<sub>1<\/sub>, p<sub>2<\/sub>, ..., p<sub>n<\/sub>, and -100,000,000 &le; x<sub>i<\/sub>, y<sub>i<\/sub> &le; 100,000,000 for each i. Two neighboring coordinates are separated by a single space. Note that no two points have the same x-coordinates.<\/p>\r\n","output":"<p>Your program is to write to standard output. Print exactly one line for each test case. The line should contain the minimum value of cost(P). Your output must contain the first digit after the decimal point, rounded off from the second digit.&nbsp;<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

ACM-ICPC > Regionals > Asia > Korea > Asia Regional - Daejeon 2013 F번