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

문제

인류의 과학 기술이 발전하여 달에도 도시를 지을 수 있게 되었다. 하지만 여전히 달에 무언가를 짓는 것은 굉장히 값비싼 비용이 필요하므로, N개의 도시가 있을 때 도시 간의 도로를 가능한 한 조금 지으려고 한다. 우리는 도로들이 크기 N인 싸이클을 형성하도록 만드려고 한다.

각 도시 쌍마다 사이를 왕복하는 도로를 건설하는 데 비용이 정해져 있다. 또한, 도시 i에서 도시 j로 가는 도로를 건설하면 추가적인 건설 없이 도시 j에서도 도시 i로 갈 수 있다. 여기까지와는 외판원 순회 문제와 굉장히 유사하지만, 이 문제에서는 추가 비용이 있다. 도로를 지을 때 반드시 두 도시 사이를 양 끝점으로 하는 선분의 형태로 지어야 하는데, 도시가 아닌 곳에서 서로 다른 도로가 교차하게 되면 어느 한쪽이 다른 한쪽을 우회해 가야 하므로 추가 비용이 들어간다. 가령 도시가 아닌 어떤 한 지점에서 k개의 도로가 서로 교차한다면, 추가 비용은 총 k ∗ (k − 1) ∗ C/2 만큼 필요하다(C는 주어지는 상수). 어떤 세 도시도 한 직선 위에 있지 않다.

조건을 만족하도록 도로를 건설하는 데 필요한 최소 비용을 구하시오.

입력

입력은 여러 개의 테스트 케이스로 주어진다. 각 테스트 케이스는 다음과 같이 이루어져 있으며, 입력의 끝에는 새 테스트 케이스 대신 0이 두 개 주어진다.

첫째 줄에 두 정수 N, C가 주어진다(2 < N < 9, 0 < C ≤ 1,000,000). N은 도시의 개수, C는 추가 비용과 관련된 상수이다.

이어서 N개의 줄에 각 도시의 위치가 주어진다. 이 중 i번째 줄에는 i번째 도시의 좌표를 의미하는 두 정수 xi, yi가 주어진다(−1,000 ≤ xi, yi ≤ 1,000). 어떤 두 도시도 같은 위치에 있지 않다.

이어서 N개의 줄에 N*N 행렬이 주어지는데 i행 j열 값 cij는 i번 도시에서 j번 도시로 가는 도로를 짓는 데 필요한 비용이다(0 < cij ≤ 106, cij = cji, cii = 0).

출력

각 테스트 케이스마다 다음 양식을 지켜 정답을 출력한다.

(테스트 케이스 번호). (정답)

테스트 케이스 번호는 1부터 시작하며 1씩 증가한다.

예제 입력 1

4 1
1 2
0 1
2 1
1 0
0 1 8 3
1 0 3 9
8 3 0 2
3 9 2 0
4 100
1 2
0 1
2 1
1 0
0 1 8 3
1 0 3 9
8 3 0 2
3 9 2 0
0 0

예제 출력 1

1. 10
2. 20
[{"problem_id":"4888","problem_lang":"0","title":"\ubb38\uc2dc\ud2f0 \uac74\uc124","description":"<p>\uc778\ub958\uc758 \uacfc\ud559 \uae30\uc220\uc774 \ubc1c\uc804\ud558\uc5ec \ub2ec\uc5d0\ub3c4 \ub3c4\uc2dc\ub97c \uc9c0\uc744 \uc218 \uc788\uac8c \ub418\uc5c8\ub2e4. \ud558\uc9c0\ub9cc \uc5ec\uc804\ud788 \ub2ec\uc5d0 \ubb34\uc5b8\uac00\ub97c \uc9d3\ub294 \uac83\uc740 \uad49\uc7a5\ud788 \uac12\ube44\uc2fc \ube44\uc6a9\uc774 \ud544\uc694\ud558\ubbc0\ub85c, N\uac1c\uc758 \ub3c4\uc2dc\uac00 \uc788\uc744 \ub54c \ub3c4\uc2dc \uac04\uc758 \ub3c4\ub85c\ub97c \uac00\ub2a5\ud55c \ud55c \uc870\uae08 \uc9c0\uc73c\ub824\uace0 \ud55c\ub2e4. \uc6b0\ub9ac\ub294 \ub3c4\ub85c\ub4e4\uc774 \ud06c\uae30 N\uc778 \uc2f8\uc774\ud074\uc744 \ud615\uc131\ud558\ub3c4\ub85d \ub9cc\ub4dc\ub824\uace0 \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ub3c4\uc2dc \uc30d\ub9c8\ub2e4 \uc0ac\uc774\ub97c \uc655\ubcf5\ud558\ub294 \ub3c4\ub85c\ub97c \uac74\uc124\ud558\ub294 \ub370 \ube44\uc6a9\uc774 \uc815\ud574\uc838 \uc788\ub2e4. \ub610\ud55c, \ub3c4\uc2dc i\uc5d0\uc11c \ub3c4\uc2dc j\ub85c \uac00\ub294 \ub3c4\ub85c\ub97c \uac74\uc124\ud558\uba74 \ucd94\uac00\uc801\uc778 \uac74\uc124 \uc5c6\uc774 \ub3c4\uc2dc j\uc5d0\uc11c\ub3c4 \ub3c4\uc2dc i\ub85c \uac08 \uc218 \uc788\ub2e4. \uc5ec\uae30\uae4c\uc9c0\uc640\ub294 \uc678\ud310\uc6d0 \uc21c\ud68c \ubb38\uc81c\uc640 \uad49\uc7a5\ud788 \uc720\uc0ac\ud558\uc9c0\ub9cc, \uc774 \ubb38\uc81c\uc5d0\uc11c\ub294 \ucd94\uac00 \ube44\uc6a9\uc774 \uc788\ub2e4. \ub3c4\ub85c\ub97c \uc9c0\uc744 \ub54c \ubc18\ub4dc\uc2dc \ub450 \ub3c4\uc2dc \uc0ac\uc774\ub97c \uc591 \ub05d\uc810\uc73c\ub85c \ud558\ub294 \uc120\ubd84\uc758 \ud615\ud0dc\ub85c \uc9c0\uc5b4\uc57c \ud558\ub294\ub370, \ub3c4\uc2dc\uac00 \uc544\ub2cc \uacf3\uc5d0\uc11c \uc11c\ub85c \ub2e4\ub978 \ub3c4\ub85c\uac00 \uad50\ucc28\ud558\uac8c \ub418\uba74 \uc5b4\ub290 \ud55c\ucabd\uc774 \ub2e4\ub978 \ud55c\ucabd\uc744 \uc6b0\ud68c\ud574 \uac00\uc57c \ud558\ubbc0\ub85c \ucd94\uac00 \ube44\uc6a9\uc774 \ub4e4\uc5b4\uac04\ub2e4. \uac00\ub839 \ub3c4\uc2dc\uac00 \uc544\ub2cc \uc5b4\ub5a4 \ud55c \uc9c0\uc810\uc5d0\uc11c k\uac1c\uc758 \ub3c4\ub85c\uac00 \uc11c\ub85c \uad50\ucc28\ud55c\ub2e4\uba74, \ucd94\uac00 \ube44\uc6a9\uc740 \ucd1d k &lowast; (k &minus; 1) &lowast; C\/2 \ub9cc\ud07c \ud544\uc694\ud558\ub2e4(C\ub294 \uc8fc\uc5b4\uc9c0\ub294 \uc0c1\uc218). \uc5b4\ub5a4 \uc138 \ub3c4\uc2dc\ub3c4 \ud55c \uc9c1\uc120 \uc704\uc5d0 \uc788\uc9c0 \uc54a\ub2e4.<\/p>\r\n\r\n<p>\uc870\uac74\uc744 \ub9cc\uc871\ud558\ub3c4\ub85d \ub3c4\ub85c\ub97c \uac74\uc124\ud558\ub294 \ub370 \ud544\uc694\ud55c \ucd5c\uc18c \ube44\uc6a9\uc744 \uad6c\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba70, \uc785\ub825\uc758 \ub05d\uc5d0\ub294 \uc0c8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \ub300\uc2e0 0\uc774 \ub450 \uac1c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uccab\uc9f8 \uc904\uc5d0 \ub450 \uc815\uc218 N, C\uac00 \uc8fc\uc5b4\uc9c4\ub2e4(2 &lt; N &lt; 9, 0 &lt; C &le; 1,000,000). N\uc740 \ub3c4\uc2dc\uc758 \uac1c\uc218, C\ub294 \ucd94\uac00 \ube44\uc6a9\uacfc \uad00\ub828\ub41c \uc0c1\uc218\uc774\ub2e4.<\/p>\r\n\r\n<p>\uc774\uc5b4\uc11c N\uac1c\uc758 \uc904\uc5d0 \uac01 \ub3c4\uc2dc\uc758 \uc704\uce58\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \uc911 i\ubc88\uc9f8 \uc904\uc5d0\ub294 i\ubc88\uc9f8 \ub3c4\uc2dc\uc758 \uc88c\ud45c\ub97c \uc758\ubbf8\ud558\ub294 \ub450 \uc815\uc218 x<sub>i<\/sub>, y<sub>i<\/sub>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4(&minus;1,000 &le; x<sub>i<\/sub>, y<sub>i<\/sub> &le; 1,000). \uc5b4\ub5a4 \ub450 \ub3c4\uc2dc\ub3c4 \uac19\uc740 \uc704\uce58\uc5d0 \uc788\uc9c0 \uc54a\ub2e4.<\/p>\r\n\r\n<p>\uc774\uc5b4\uc11c N\uac1c\uc758 \uc904\uc5d0 N*N \ud589\ub82c\uc774 \uc8fc\uc5b4\uc9c0\ub294\ub370 i\ud589 j\uc5f4 \uac12&nbsp;c<sub>ij<\/sub>\ub294 i\ubc88 \ub3c4\uc2dc\uc5d0\uc11c j\ubc88 \ub3c4\uc2dc\ub85c \uac00\ub294 \ub3c4\ub85c\ub97c \uc9d3\ub294 \ub370 \ud544\uc694\ud55c \ube44\uc6a9\uc774\ub2e4(0 &lt; c<sub>ij<\/sub> &le; 10<sup>6<\/sup>, c<sub>ij<\/sub> = c<sub>ji<\/sub>, c<sub>ii<\/sub> = 0).<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 \ub2e4\uc74c \uc591\uc2dd\uc744 \uc9c0\ucf1c \uc815\ub2f5\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<pre>\r\n(\ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \ubc88\ud638). (\uc815\ub2f5)<\/pre>\r\n\r\n<p>\ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \ubc88\ud638\ub294 1\ubd80\ud130 \uc2dc\uc791\ud558\uba70 1\uc529 \uc99d\uac00\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"4888","problem_lang":"1","title":"The Cyber Traveling Salesman","description":"<p>In light of the exploding population on earth, a number of cities are being constructed on the moon. We would like you to assist in determining the best road system for these cities. Considering the high cost associated with building roads on the moon, all what is required is for the roads to form a cycle starting from the city that appears first in the input, passing through all other cities exactly once (but in any arbitrary order,) and then ending back to the first. (Yes, this problem is a variation of the traveling-salesman problem.)<\/p>\r\n\r\n<p>You are given the cost of building a road between each pair of cities. Roads are one-way, but the cost for building a road from city i to j is the same as the cost of building from city j to i. When roads intersect at a location that is not a city, you must account for the cost of constructing bypassing bridges. Constructing a bypass system costs k &lowast; (k &minus; 1) &lowast; C\/2 where k is the number of roads intersecting at that location, and C is a given constant.<\/p>\r\n\r\n<p>Note that the cities are laid out so that no three cities fall on the same straight line.<\/p>\r\n","input":"<p>Your program will be tested on one or more test cases. Each test case is specified using 2 &lowast; N + 1 lines. The first line specifies two integers: (2 &lt;N&lt; 9) is the number of cities and (0 &lt; C &le; 1, 000, 000) is the coefficient used in determining the cost of building bridges.<\/p>\r\n\r\n<p>Following the first line, the Cartesian coordinates of the cities are specified in order. Each city is specified on a separate line made of two integers: x<sub>i<\/sub> and y<sub>i<\/sub> where (&minus;1, 000 &le; x<sub>i<\/sub>, y<sub>i<\/sub> &le; 1, 000). No two cities are located at the same (x, y) location.<\/p>\r\n\r\n<p>The last N lines of a test case specify an N &lowast; N matrix representing the cost of building a road between any two cities. The matrix is specified using N lines, each with N integers in a row-major format. The jth value on the ith row, denoted as c<sub>ij<\/sub> is the cost of building a road from city-i to city-j where (0 &lt; c<sub>ij<\/sub> &le; 10<sup>6<\/sup>) and (c<sub>ij<\/sub> = c<sub>ji<\/sub>) and (c<sub>ii<\/sub> = 0).<\/p>\r\n\r\n<p>The last case is followed by a line having two zeros.<\/p>\r\n","output":"<p>For each test case, print the following line:<\/p>\r\n\r\n<pre>\r\nk. M<\/pre>\r\n\r\n<p>Where k is the test case number (starting at one,) and M is minimum cost needed to build the road system.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]