시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 434 84 75 27.881%

문제

FIFA는 월드컵의 대회 형식을 약간 수정하려고 한다. 현재, 월드컵은 32개팀이 참가하며, 2개의 라운드로 이루어져 있다. 첫 번째 라운드는 조별 리그이고, 32개팀은 8개의 조에 배정된다. 각 팀은 조에 속하는 다른 팀과 한 경기씩 치뤄 총 세 경기를 치룬다. 조별 리그가 완료된 후에, 각 조의 상위 두 팀은 다음 라운드 토너먼트로 진출하게 된다.  토너먼트의 첫 번째 라운드는 16개팀이 참가하며, 총 8경기가 열린다. 각 경기의 승자는 다음 라운드에 진출하게 된다. 토너먼트의 두 번째 라운드에서는 총 4경기가 열리며, 각 경기의 승자는 준결승전에 진출한다. 마지막으로 준결승전의 승자 두 팀은 결승전에 진출하게 되고, 결승전의 승자는 월드컵을 우승하게 된다.

토너먼트 전을 공정하게 진행하려면 토너먼트에 참가하는 팀의 수는 항상 2의 제곱꼴이 되어야 한다.

FIFA는 조별 리그에 참가하는 팀의 수를 추가하고, 조의 개수도 추가하려고 한다. 이 결과로 토너먼트에 참가하는 팀의 수가 변경될 수도 있다. 또한, FIFA는 일부 팀(이전 대회 우승, 개최국, 등등...)은 조별 리그를 거치지 않고 바로 토너먼트에 진출하게 규정을 바꾸려고 한다. 월드컵을 어떻게 바꿀지 주어졌을 때, 그렇게 월드컵이 바뀐다면 총 몇 경기가 열리게 되는지 구하는 프로그램을 작성하시오.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있고, 각 테스트 케이스는 자연수 4개 G T A D가 주어진다.

G > 0는 그룹의 수, T는 각 그룹을 구성하는 팀의 수, A는 각 조에서 토너먼트로 진출하는 팀의 수, D는 조별 리그를 거치지 않고 바로 토너먼트로 진출하는 팀의 수이다. 항상 0 < A ≤ T이고, 네 숫자는 216을 넘지 않는다.

만약, 토너먼트에 참가하는 팀의 수가 2의 제곱꼴이 아닐 때는, 가까운 2의 제곱으로 진출하는 팀의 수를 추가시켜야 한다.

입력의 마지막 줄에는 -1이 네 개 주어진다.

출력

각 테스트 케이스에 대해서, 다음을 출력한다.

G*A/T+D=X+Y

G, A, T, D는 입력으로 주어지는 수, X는 총 열리는 경기의 수, Y는 추가해야하는 팀의 수이다.

예제 입력 1

8 4 2 0
8 4 2 1
-1 -1 -1 -1

예제 출력 1

8*2/4+0=63+0
8*2/4+1=79+15
[{"problem_id":"4884","problem_lang":"0","title":"FIFA \uc6d4\ub4dc\ucef5","description":"<p>FIFA\ub294 \uc6d4\ub4dc\ucef5\uc758 \ub300\ud68c \ud615\uc2dd\uc744 \uc57d\uac04 \uc218\uc815\ud558\ub824\uace0 \ud55c\ub2e4. \ud604\uc7ac, \uc6d4\ub4dc\ucef5\uc740 32\uac1c\ud300\uc774 \ucc38\uac00\ud558\uba70, 2\uac1c\uc758 \ub77c\uc6b4\ub4dc\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uccab \ubc88\uc9f8 \ub77c\uc6b4\ub4dc\ub294 \uc870\ubcc4 \ub9ac\uadf8\uc774\uace0, 32\uac1c\ud300\uc740 8\uac1c\uc758 \uc870\uc5d0 \ubc30\uc815\ub41c\ub2e4. \uac01 \ud300\uc740 \uc870\uc5d0 \uc18d\ud558\ub294 \ub2e4\ub978 \ud300\uacfc \ud55c \uacbd\uae30\uc529 \uce58\ub904 \ucd1d \uc138 \uacbd\uae30\ub97c \uce58\ub8ec\ub2e4. \uc870\ubcc4 \ub9ac\uadf8\uac00 \uc644\ub8cc\ub41c \ud6c4\uc5d0, \uac01 \uc870\uc758 \uc0c1\uc704 \ub450 \ud300\uc740 \ub2e4\uc74c \ub77c\uc6b4\ub4dc \ud1a0\ub108\uba3c\ud2b8\ub85c \uc9c4\ucd9c\ud558\uac8c \ub41c\ub2e4. &nbsp;\ud1a0\ub108\uba3c\ud2b8\uc758 \uccab \ubc88\uc9f8 \ub77c\uc6b4\ub4dc\ub294 16\uac1c\ud300\uc774 \ucc38\uac00\ud558\uba70, \ucd1d 8\uacbd\uae30\uac00 \uc5f4\ub9b0\ub2e4. \uac01 \uacbd\uae30\uc758 \uc2b9\uc790\ub294 \ub2e4\uc74c \ub77c\uc6b4\ub4dc\uc5d0 \uc9c4\ucd9c\ud558\uac8c \ub41c\ub2e4. \ud1a0\ub108\uba3c\ud2b8\uc758 \ub450 \ubc88\uc9f8 \ub77c\uc6b4\ub4dc\uc5d0\uc11c\ub294 \ucd1d 4\uacbd\uae30\uac00 \uc5f4\ub9ac\uba70, \uac01 \uacbd\uae30\uc758 \uc2b9\uc790\ub294 \uc900\uacb0\uc2b9\uc804\uc5d0 \uc9c4\ucd9c\ud55c\ub2e4. \ub9c8\uc9c0\ub9c9\uc73c\ub85c \uc900\uacb0\uc2b9\uc804\uc758 \uc2b9\uc790 \ub450 \ud300\uc740 \uacb0\uc2b9\uc804\uc5d0 \uc9c4\ucd9c\ud558\uac8c \ub418\uace0, \uacb0\uc2b9\uc804\uc758 \uc2b9\uc790\ub294 \uc6d4\ub4dc\ucef5\uc744 \uc6b0\uc2b9\ud558\uac8c \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ud1a0\ub108\uba3c\ud2b8 \uc804\uc744 \uacf5\uc815\ud558\uac8c \uc9c4\ud589\ud558\ub824\uba74 \ud1a0\ub108\uba3c\ud2b8\uc5d0 \ucc38\uac00\ud558\ub294 \ud300\uc758 \uc218\ub294 \ud56d\uc0c1 2\uc758 \uc81c\uacf1\uaf34\uc774 \ub418\uc5b4\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>FIFA\ub294 \uc870\ubcc4 \ub9ac\uadf8\uc5d0 \ucc38\uac00\ud558\ub294 \ud300\uc758 \uc218\ub97c \ucd94\uac00\ud558\uace0, \uc870\uc758 \uac1c\uc218\ub3c4 \ucd94\uac00\ud558\ub824\uace0 \ud55c\ub2e4. \uc774 \uacb0\uacfc\ub85c \ud1a0\ub108\uba3c\ud2b8\uc5d0 \ucc38\uac00\ud558\ub294 \ud300\uc758 \uc218\uac00 \ubcc0\uacbd\ub420 \uc218\ub3c4 \uc788\ub2e4. \ub610\ud55c, FIFA\ub294 \uc77c\ubd80 \ud300(\uc774\uc804 \ub300\ud68c \uc6b0\uc2b9, \uac1c\ucd5c\uad6d, \ub4f1\ub4f1...)\uc740 \uc870\ubcc4 \ub9ac\uadf8\ub97c \uac70\uce58\uc9c0 \uc54a\uace0 \ubc14\ub85c \ud1a0\ub108\uba3c\ud2b8\uc5d0 \uc9c4\ucd9c\ud558\uac8c \uaddc\uc815\uc744 \ubc14\uafb8\ub824\uace0 \ud55c\ub2e4. \uc6d4\ub4dc\ucef5\uc744 \uc5b4\ub5bb\uac8c \ubc14\uafc0\uc9c0 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uadf8\ub807\uac8c \uc6d4\ub4dc\ucef5\uc774 \ubc14\ub010\ub2e4\uba74 \ucd1d \uba87 \uacbd\uae30\uac00 \uc5f4\ub9ac\uac8c \ub418\ub294\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \uc790\uc5f0\uc218 4\uac1c G T A D\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>G &gt; 0\ub294 \uadf8\ub8f9\uc758 \uc218, T\ub294 \uac01 \uadf8\ub8f9\uc744 \uad6c\uc131\ud558\ub294 \ud300\uc758 \uc218, A\ub294 \uac01 \uc870\uc5d0\uc11c \ud1a0\ub108\uba3c\ud2b8\ub85c \uc9c4\ucd9c\ud558\ub294 \ud300\uc758 \uc218, D\ub294 \uc870\ubcc4 \ub9ac\uadf8\ub97c \uac70\uce58\uc9c0 \uc54a\uace0 \ubc14\ub85c \ud1a0\ub108\uba3c\ud2b8\ub85c \uc9c4\ucd9c\ud558\ub294 \ud300\uc758 \uc218\uc774\ub2e4. \ud56d\uc0c1 0 &lt; A &le; T\uc774\uace0, \ub124 \uc22b\uc790\ub294 2<sup>16<\/sup>\uc744 \ub118\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc57d, \ud1a0\ub108\uba3c\ud2b8\uc5d0 \ucc38\uac00\ud558\ub294 \ud300\uc758 \uc218\uac00 2\uc758 \uc81c\uacf1\uaf34\uc774 \uc544\ub2d0 \ub54c\ub294, \uac00\uae4c\uc6b4 2\uc758 \uc81c\uacf1\uc73c\ub85c \uc9c4\ucd9c\ud558\ub294 \ud300\uc758 \uc218\ub97c \ucd94\uac00\uc2dc\ucf1c\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc785\ub825\uc758 \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 -1\uc774 \ub124 \uac1c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c, \ub2e4\uc74c\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<pre>G*A\/T+D=X+Y<\/pre>\r\n\r\n<p>G, A, T, D\ub294 \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c0\ub294 \uc218, X\ub294 \ucd1d \uc5f4\ub9ac\ub294 \uacbd\uae30\uc758 \uc218, Y\ub294 \ucd94\uac00\ud574\uc57c\ud558\ub294 \ud300\uc758 \uc218\uc774\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"4884","problem_lang":"1","title":"Sometimes, a penalty is good!","description":"<p>FIFA is considering a few changes to the way it organizes the Football World Cup. Currently, 32 teams compete for the World Title in two stages. During the \ufb01rst stage, known as the groups stage, the 32 teams are split evenly into 8 groups. Every team in the group plays 3 games, one against each team in their own group. Teams are then ranked within their group according to some points system. During the second (and \ufb01nal) stage, the top two teams from each group advance to the knockout stage where eight games are played to determine eight winners who would then play four games to determine four winners, then two games to determine the two winners who would then play the \ufb01nal game to determine the world champion. Needless to say, for the knockout stage to work, the number of teams in that stage has to be a power of two.<\/p>\r\n\r\n<p>FIFA is considering adding more groups, adding more teams to groups, and possibly changing the number of teams advancing from each group to the knockout stage. In addition, FIFA is considering having certain teams (previous champion, host country, etc.) advance to the knockout stage directly (without having to play in the groups stage.) But FIFA needs to know how many games will be played if any of these changes are applied. Please help them!<\/p>\r\n","input":"<p>Your program will be tested on one or more test cases. Each test case is speci\ufb01ed on a single line made of 4 natural numbers with the following format:<\/p>\r\n\r\n<pre>\r\nG T A D<\/pre>\r\n\r\n<p>Where (G &gt; 0) is the number of groups; T is the number of teams in each group; A is the number of teams advancing from each group to the knockout stage; and D is the number of teams directly advancing to the knockout stage without going through the groups stage. Note that (0 &lt; A &le; T) and that the four numbers in the input are no larger than 216.<\/p>\r\n\r\n<p>If the total number of teams in the knockout stage is not a power of two, your program must increase them to the closest power of two.<\/p>\r\n\r\n<p>The last test case is followed by a dummy line made of four -1&rsquo;s.<\/p>\r\n","output":"<p>For each test case, print:<\/p>\r\n\r\n<pre>\r\nG*A\/T+D=X+Y<\/pre>\r\n\r\n<p>where G, A, T, and D are as in the input, X is the total number of games, and Y is the number of teams your program determined it must add.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]