시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
10 초 128 MB 43 16 7 25.926%

문제

유명한 마이크로프로세서 회사 letnI는 컴퓨터용 칩 위에 몇 개의 교체 가능한 부품(위젯)을 배치하는 일을 위해 당신의 도움을 필요로 한다. 각 칩은 NxN개의 정사각형 슬롯으로  이루어져 있다. 하나의 슬롯에는 하나의 위젯을 끼워 넣을 수 있으며, 최대한 많은 위젯을 끼워넣는 것이 목표이다.

최근의 프로세서 디자인들은 매우 복잡하기 때문에 당신은 운 나쁘게도 아래와 같은 제한들을 지켜야 한다.

  • 어떤 슬롯들은 사용할 수 없다.
  • 어떤 슬롯들은 다른 부품에 의해 이미 사용되고 있는 중이라서 새로운 위젯을 끼울 수 없다.
  • 칩의 수평한 변과 수직한 변을 연결하는 형제 메모리 버스가 있기 때문에 그들의 대역폭을 같게 만들어야 한다. 그러기 위해서는 i 번째 행에 있는 부품의 개수와 i 번째 열에 있는 부품의 개수가 같으면 되며, 부품의 개수는 이미 사용되고 있는 부품의 수와 새로 추가한 위젯의 수를 포함해서 세어야 한다.
  • 또한 비슷하게, 전원 공급기가 각 행과 열의 끝에 연결될 것이다. 과열을 막기 위해서는 어떤 행이나 열에 있는 부품의 개수와 전체 칩 위에 있는 부품의 개수의 비율이 A/B 초과가 되면 안된다. (A와 B는 각 칩에 대해 주어진다)

하나의 칩은 N개의 문자로 이루어진 N개의 줄로 주어질 것이다. '.'은 열려있는(아직 사용되지 않은)슬롯이고, '/'은 사용할 수 없는 슬롯, 그리고 'C'는 이미 다른 부품에 의해 사용되고 있는 슬롯이다. 예를 들어 다음과 같은 칩을 생각해보자.

CC/..
././/
..C.C
/.C..
/./C/

만약 한 행이나 열에 3/10이상의 부품이 있어서는 안된다고 하면, 이 칩 위에 최대한으로 추가할 수 있는 위젯의 개수는 7개가 된다. 가능한 배치는 아래에 있으며 'W'는 열려있는 슬롯에 추가된 위젯을 나타낸다.

CC/W.
W/W//
W.C.C
/.CWW
/W/C/

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다. 각 케이스의 시작하는 줄은 세가지 정수로 이루어져 있다: 칩의 크기 N (1 ≤ N ≤ 40), 그리고 위에서 설명한 비율을 의미하는 A와 B(1 ≤ B ≤ 1000, 0 ≤ A ≤ B). 그리고 다음 N개의 줄은 슬롯의 상태를 나타내며 각 줄마다 N개의 문자가 주어진다. 각 문자는 '.','/' 또는 'C'이며 이는 위에서 설명한 대로이다.

마지막 테스트 케이스는 0 세 개로 이루어져 있다.

출력

각 테스트 케이스에 대해 각 줄은 테스트 케이스의 숫자로 시작한다. 만약 가능한 위젯 배치가 있다면 칩 위에 추가할 수 있는 위젯의 최대 개수를 출력한다. 가능한 배치가 없다면 "impossible"을 출력하면 된다.

예제 출력을 따라서 하면 된다.

예제 입력 1

2 1 1
/.
//
2 50 100
/.
C/
2 100 100
./
C.
5 3 10
CC/..
././/
..C.C
/.C..
/./C/
5 2 10
CC/..
././/
..C.C
/.C..
/./C/
0 0 0

예제 출력 1

Case 1: 0
Case 2: 1
Case 3: impossible
Case 4: 7
Case 5: impossible
[{"problem_id":"4218","problem_lang":"0","title":"\uce69 \uc124\uacc4","description":"<p>\uc720\uba85\ud55c \ub9c8\uc774\ud06c\ub85c\ud504\ub85c\uc138\uc11c \ud68c\uc0ac letnI\ub294 \ucef4\ud4e8\ud130\uc6a9 \uce69 \uc704\uc5d0 \uba87 \uac1c\uc758 \uad50\uccb4 \uac00\ub2a5\ud55c \ubd80\ud488(\uc704\uc82f)\uc744 \ubc30\uce58\ud558\ub294 \uc77c\uc744 \uc704\ud574 \ub2f9\uc2e0\uc758 \ub3c4\uc6c0\uc744 \ud544\uc694\ub85c \ud55c\ub2e4. \uac01 \uce69\uc740 NxN\uac1c\uc758 \uc815\uc0ac\uac01\ud615 \uc2ac\ub86f\uc73c\ub85c &nbsp;\uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \ud558\ub098\uc758 \uc2ac\ub86f\uc5d0\ub294 \ud558\ub098\uc758 \uc704\uc82f\uc744 \ub07c\uc6cc \ub123\uc744 \uc218 \uc788\uc73c\uba70, \ucd5c\ub300\ud55c \ub9ce\uc740 \uc704\uc82f\uc744 \ub07c\uc6cc\ub123\ub294 \uac83\uc774 \ubaa9\ud45c\uc774\ub2e4.<\/p>\r\n\r\n<p>\ucd5c\uadfc\uc758 \ud504\ub85c\uc138\uc11c \ub514\uc790\uc778\ub4e4\uc740 \ub9e4\uc6b0 \ubcf5\uc7a1\ud558\uae30 \ub54c\ubb38\uc5d0 \ub2f9\uc2e0\uc740 \uc6b4 \ub098\uc058\uac8c\ub3c4 \uc544\ub798\uc640 \uac19\uc740 \uc81c\ud55c\ub4e4\uc744 \uc9c0\ucf1c\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc5b4\ub5a4 \uc2ac\ub86f\ub4e4\uc740 \uc0ac\uc6a9\ud560 \uc218 \uc5c6\ub2e4.<\/li>\r\n\t<li>\uc5b4\ub5a4 \uc2ac\ub86f\ub4e4\uc740 \ub2e4\ub978 \ubd80\ud488\uc5d0 \uc758\ud574 \uc774\ubbf8 \uc0ac\uc6a9\ub418\uace0 \uc788\ub294 \uc911\uc774\ub77c\uc11c \uc0c8\ub85c\uc6b4 \uc704\uc82f\uc744 \ub07c\uc6b8 \uc218 \uc5c6\ub2e4.<\/li>\r\n\t<li>\uce69\uc758 \uc218\ud3c9\ud55c \ubcc0\uacfc \uc218\uc9c1\ud55c \ubcc0\uc744 \uc5f0\uacb0\ud558\ub294 \ud615\uc81c \uba54\ubaa8\ub9ac \ubc84\uc2a4\uac00 \uc788\uae30 \ub54c\ubb38\uc5d0 \uadf8\ub4e4\uc758 \ub300\uc5ed\ud3ed\uc744 \uac19\uac8c \ub9cc\ub4e4\uc5b4\uc57c \ud55c\ub2e4. \uadf8\ub7ec\uae30 \uc704\ud574\uc11c\ub294 i \ubc88\uc9f8 \ud589\uc5d0 \uc788\ub294 \ubd80\ud488\uc758 \uac1c\uc218\uc640 i \ubc88\uc9f8 \uc5f4\uc5d0 \uc788\ub294 \ubd80\ud488\uc758 \uac1c\uc218\uac00 \uac19\uc73c\uba74 \ub418\uba70, \ubd80\ud488\uc758 \uac1c\uc218\ub294 \uc774\ubbf8 \uc0ac\uc6a9\ub418\uace0 \uc788\ub294 \ubd80\ud488\uc758 \uc218\uc640 \uc0c8\ub85c \ucd94\uac00\ud55c \uc704\uc82f\uc758 \uc218\ub97c \ud3ec\ud568\ud574\uc11c \uc138\uc5b4\uc57c \ud55c\ub2e4.<\/li>\r\n\t<li>\ub610\ud55c \ube44\uc2b7\ud558\uac8c, \uc804\uc6d0 \uacf5\uae09\uae30\uac00 \uac01 \ud589\uacfc \uc5f4\uc758 \ub05d\uc5d0 \uc5f0\uacb0\ub420 \uac83\uc774\ub2e4. \uacfc\uc5f4\uc744 \ub9c9\uae30 \uc704\ud574\uc11c\ub294 \uc5b4\ub5a4 \ud589\uc774\ub098 \uc5f4\uc5d0 \uc788\ub294 \ubd80\ud488\uc758 \uac1c\uc218\uc640 \uc804\uccb4 \uce69 \uc704\uc5d0 \uc788\ub294 \ubd80\ud488\uc758 \uac1c\uc218\uc758 \ube44\uc728\uc774 A\/B \ucd08\uacfc\uac00 \ub418\uba74 \uc548\ub41c\ub2e4. (A\uc640 B\ub294 \uac01 \uce69\uc5d0 \ub300\ud574 \uc8fc\uc5b4\uc9c4\ub2e4)<\/li>\r\n<\/ul>\r\n\r\n<p>\ud558\ub098\uc758 \uce69\uc740 N\uac1c\uc758 \ubb38\uc790\ub85c \uc774\ub8e8\uc5b4\uc9c4 N\uac1c\uc758 \uc904\ub85c \uc8fc\uc5b4\uc9c8 \uac83\uc774\ub2e4. &#39;.&#39;\uc740 \uc5f4\ub824\uc788\ub294(\uc544\uc9c1 \uc0ac\uc6a9\ub418\uc9c0 \uc54a\uc740)\uc2ac\ub86f\uc774\uace0, &#39;\/&#39;\uc740 \uc0ac\uc6a9\ud560 \uc218 \uc5c6\ub294 \uc2ac\ub86f, \uadf8\ub9ac\uace0 &#39;C&#39;\ub294 \uc774\ubbf8 \ub2e4\ub978 \ubd80\ud488\uc5d0 \uc758\ud574 \uc0ac\uc6a9\ub418\uace0 \uc788\ub294 \uc2ac\ub86f\uc774\ub2e4. \uc608\ub97c \ub4e4\uc5b4 \ub2e4\uc74c\uacfc \uac19\uc740 \uce69\uc744 \uc0dd\uac01\ud574\ubcf4\uc790.<\/p>\r\n\r\n<pre>\r\nCC\/..\r\n.\/.\/\/\r\n..C.C\r\n\/.C..\r\n\/.\/C\/\r\n<\/pre>\r\n\r\n<p>\ub9cc\uc57d \ud55c \ud589\uc774\ub098 \uc5f4\uc5d0 3\/10\uc774\uc0c1\uc758 \ubd80\ud488\uc774 \uc788\uc5b4\uc11c\ub294 \uc548\ub41c\ub2e4\uace0 \ud558\uba74, \uc774 \uce69 \uc704\uc5d0 \ucd5c\ub300\ud55c\uc73c\ub85c \ucd94\uac00\ud560 \uc218 \uc788\ub294 \uc704\uc82f\uc758 \uac1c\uc218\ub294 7\uac1c\uac00 \ub41c\ub2e4. \uac00\ub2a5\ud55c \ubc30\uce58\ub294 \uc544\ub798\uc5d0 \uc788\uc73c\uba70 &#39;W&#39;\ub294 \uc5f4\ub824\uc788\ub294 \uc2ac\ub86f\uc5d0 \ucd94\uac00\ub41c \uc704\uc82f\uc744 \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<pre>\r\nCC\/W.\r\nW\/W\/\/\r\nW.C.C\r\n\/.CWW\r\n\/W\/C\/\r\n<\/pre>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uac01 \ucf00\uc774\uc2a4\uc758 \uc2dc\uc791\ud558\ub294 \uc904\uc740 \uc138\uac00\uc9c0 \uc815\uc218\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4: \uce69\uc758 \ud06c\uae30&nbsp;N (1 &le; N &le; 40), \uadf8\ub9ac\uace0 \uc704\uc5d0\uc11c \uc124\uba85\ud55c \ube44\uc728\uc744 \uc758\ubbf8\ud558\ub294 A\uc640 B(1 &le; B &le; 1000, 0 &le; A &le; B). \uadf8\ub9ac\uace0 \ub2e4\uc74c N\uac1c\uc758 \uc904\uc740 \uc2ac\ub86f\uc758 \uc0c1\ud0dc\ub97c \ub098\ud0c0\ub0b4\uba70 \uac01 \uc904\ub9c8\ub2e4 N\uac1c\uc758 \ubb38\uc790\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ubb38\uc790\ub294 &#39;.&#39;,&#39;\/&#39; \ub610\ub294 &#39;C&#39;\uc774\uba70 \uc774\ub294 \uc704\uc5d0\uc11c \uc124\uba85\ud55c \ub300\ub85c\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub9c8\uc9c0\ub9c9 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 0 \uc138 \uac1c\ub85c&nbsp;\uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 \uac01 \uc904\uc740 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc22b\uc790\ub85c \uc2dc\uc791\ud55c\ub2e4. \ub9cc\uc57d \uac00\ub2a5\ud55c \uc704\uc82f \ubc30\uce58\uac00 \uc788\ub2e4\uba74 \uce69 \uc704\uc5d0 \ucd94\uac00\ud560 \uc218 \uc788\ub294 \uc704\uc82f\uc758 \ucd5c\ub300 \uac1c\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4. \uac00\ub2a5\ud55c \ubc30\uce58\uac00 \uc5c6\ub2e4\uba74 &quot;impossible&quot;\uc744 \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc608\uc81c \ucd9c\ub825\uc744 \ub530\ub77c\uc11c \ud558\uba74 \ub41c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"4218","problem_lang":"1","title":"Chips Challenge","description":"<p>A prominent microprocessor company has enlisted your help to lay out some interchangeable components (widgets) on some of their computer chips. Each chip&rsquo;s design is an N&times;N square of slots. One slot can hold a single component, and you are to try to \ufb01t in as many widgets as possible.<\/p>\r\n\r\n<p>Modern processor designs are complex, of course. You unfortunately have several restrictions:<\/p>\r\n\r\n<ul>\r\n\t<li>Some of the slots are disabled.<\/li>\r\n\t<li>Some of the slots are already occupied by other components and cannot be used for widgets.<\/li>\r\n\t<li>There are sibling memory buses connected to the horizontal and vertical edges of the chip and their bandwidth loads need to match. As such, there must be exactly as many components in the \ufb01rst row as in the \ufb01rst column, exactly as many in the second row as in the second column, and so on. Component counts include both the components already speci\ufb01ed on the chip and the added widgets.<\/li>\r\n\t<li>Similarly, the power supply is connected at the end of each row and column. To avoid hot spots, any given row or column must have no more than A\/B of the total components on the chip for a given A and B.<\/li>\r\n<\/ul>\r\n\r\n<p>A speci\ufb01cation for a chip is N lines of N characters, where &lsquo;.&rsquo; indicates an open slot, &lsquo;\/&rsquo; indicates a disabled slot, and &lsquo;C&rsquo; indicates a slot already occupied by a component. For example:<\/p>\r\n\r\n<pre>\r\nCC\/..\r\n.\/.\/\/\r\n..C.C\r\n\/.C..\r\n\/.\/C\/<\/pre>\r\n\r\n<p>If no more than 3\/10 of the components may be in any one row or column, the maximum number of widgets that can be added to this 5&times;5 chip is 7. A possible arrangement is below, where &lsquo;W&rsquo; indicates a widget added in an open slot.<\/p>\r\n\r\n<pre>\r\nCC\/W.\r\nW\/W\/\/\r\nW.C.C\r\n\/.CWW\r\n\/W\/C\/<\/pre>\r\n","input":"<p>The input consists of several test cases. Each case starts with a line containing three integers: The size of the chip N (1 &le; N &le; 40), and A and B (1 &le; B &le; 1000, 0 &le; A &le; B) as described above. Each of the following N lines contains N characters describing the slots, one of &lsquo;.&rsquo;, &lsquo;\/&rsquo; or &lsquo;C&rsquo;, as described above.<\/p>\r\n\r\n<p>The last test case is followed by a line containing three zeros.<\/p>\r\n","output":"<p>For each test case, display a single line beginning with the case number. If there is a solution, display the maximum number of widgets that can be added to the chip. Display &ldquo;impossible&rdquo; if there is no solution.<\/p>\r\n\r\n<p>Follow the format of the sample output.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

ACM-ICPC > World Finals > 2011 World Finals D번

  • 문제를 번역한 사람: august14
  • 잘못된 조건을 찾은 사람: koosaga