시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 954 558 503 60.096%

문제

중간계에 전쟁이 일어나려고 한다. 간달프는 사우론에 대항하기 위한 군대를 소집했고, 여러 종족이 이 군대에 가담했다. 전쟁을 시작하기 전에 간달프는 각 종족에 점수를 매겼다.

간달프의 군대의 각 종족의 점수는 다음과 같다.

  • 호빗 - 1
  • 인간 - 2
  • 엘프 - 3
  • 드워프 - 3
  • 독수리 - 4
  • 마법사 - 10

사우론의 군대의 점수는 다음과 같다.

  • 오크 - 1
  • 인간 - 2
  • 워그(늑대) - 2
  • 고블린 - 2
  • 우럭하이 - 3
  • 트롤 - 5
  • 마법사 - 10

중간계는 매우 신비한 곳이어서 각 전투의 승리는 날씨, 장소, 용맹에 영향을 받지 않는다. 전투에 참여한 각 종족의 점수를 합한 뒤, 큰 쪽이 이긴다.

전투에 참여한 종족의 수가 주어졌을 때, 어느 쪽이 이기는지 구하는 프로그램을 작성하시오.

입력

첫째 줄에 전투의 개수 T가 주어진다. 각 전투는 두 줄로 이루어져 있다. 첫째 줄에 간달프 군대에 참여한 종족의 수가 주어진다. 이 값은 공백으로 구분되어 있으며, 호빗, 인간, 엘프, 드워프, 독수리, 마법사 순서이다. 둘째 줄에는 사우론 군대에 참여한 종족의 수가 주어진다. 이 값 역시 공백으로 구분되어 있으며, 오크, 인간, 워그, 고블린, 우럭하이, 트롤, 마법사 순서이다. 모든 값은 음이 아닌 정수이고, 각 군대의 점수의 합은 32비트 정수 제한을 넘지 않는다.

출력

각 전투에 대해서, "Battle"과 전투 번호를 출력한다. 그 다음에 간달프의 군대가 이긴다면 "Good triumphs over Evil"를, 사우론의 군대가 이긴다면 "Evil eradicates all trace of Good", 점수의 합이 같아 이기는 쪽이 없다면 "No victor on this battle field"를 출력한다.

예제 입력 1

3
1 1 1 1 1 1
1 1 1 1 1 1 1
0 0 0 0 0 10
0 1 1 1 1 0 0
1 0 0 0 0 0
1 0 0 0 0 0 0

예제 출력 1

Battle 1: Evil eradicates all trace of Good
Battle 2: Good triumphs over Evil
Battle 3: No victor on this battle field
[{"problem_id":"4435","problem_lang":"0","title":"\uc911\uac04\uacc4 \uc804\uc7c1","description":"<p>\uc911\uac04\uacc4\uc5d0 \uc804\uc7c1\uc774 \uc77c\uc5b4\ub098\ub824\uace0 \ud55c\ub2e4. \uac04\ub2ec\ud504\ub294 \uc0ac\uc6b0\ub860\uc5d0 \ub300\ud56d\ud558\uae30 \uc704\ud55c \uad70\ub300\ub97c \uc18c\uc9d1\ud588\uace0, \uc5ec\ub7ec \uc885\uc871\uc774 \uc774 \uad70\ub300\uc5d0 \uac00\ub2f4\ud588\ub2e4. \uc804\uc7c1\uc744 \uc2dc\uc791\ud558\uae30 \uc804\uc5d0 \uac04\ub2ec\ud504\ub294 \uac01 \uc885\uc871\uc5d0 \uc810\uc218\ub97c \ub9e4\uacbc\ub2e4.<\/p>\r\n\r\n<p>\uac04\ub2ec\ud504\uc758 \uad70\ub300\uc758 \uac01 \uc885\uc871\uc758 \uc810\uc218\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ud638\ube57 - 1<\/li>\r\n\t<li>\uc778\uac04 - 2<\/li>\r\n\t<li>\uc5d8\ud504 - 3<\/li>\r\n\t<li>\ub4dc\uc6cc\ud504 - 3<\/li>\r\n\t<li>\ub3c5\uc218\ub9ac - 4<\/li>\r\n\t<li>\ub9c8\ubc95\uc0ac - 10<\/li>\r\n<\/ul>\r\n\r\n<p>\uc0ac\uc6b0\ub860\uc758 \uad70\ub300\uc758 \uc810\uc218\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc624\ud06c - 1<\/li>\r\n\t<li>\uc778\uac04 - 2<\/li>\r\n\t<li>\uc6cc\uadf8(\ub291\ub300) - 2<\/li>\r\n\t<li>\uace0\ube14\ub9b0 - 2<\/li>\r\n\t<li>\uc6b0\ub7ed\ud558\uc774 - 3<\/li>\r\n\t<li>\ud2b8\ub864 - 5<\/li>\r\n\t<li>\ub9c8\ubc95\uc0ac - 10<\/li>\r\n<\/ul>\r\n\r\n<p>\uc911\uac04\uacc4\ub294 \ub9e4\uc6b0 \uc2e0\ube44\ud55c \uacf3\uc774\uc5b4\uc11c \uac01 \uc804\ud22c\uc758 \uc2b9\ub9ac\ub294 \ub0a0\uc528, \uc7a5\uc18c, \uc6a9\ub9f9\uc5d0 \uc601\ud5a5\uc744 \ubc1b\uc9c0 \uc54a\ub294\ub2e4. \uc804\ud22c\uc5d0 \ucc38\uc5ec\ud55c \uac01 \uc885\uc871\uc758 \uc810\uc218\ub97c \ud569\ud55c \ub4a4, \ud070 \ucabd\uc774 \uc774\uae34\ub2e4.<\/p>\r\n\r\n<p>\uc804\ud22c\uc5d0 \ucc38\uc5ec\ud55c \uc885\uc871\uc758 \uc218\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc5b4\ub290 \ucabd\uc774 \uc774\uae30\ub294\uc9c0 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc804\ud22c\uc758 \uac1c\uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uc804\ud22c\ub294 \ub450 \uc904\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uccab\uc9f8 \uc904\uc5d0 \uac04\ub2ec\ud504 \uad70\ub300\uc5d0 \ucc38\uc5ec\ud55c \uc885\uc871\uc758 \uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \uac12\uc740 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc788\uc73c\uba70, \ud638\ube57, \uc778\uac04, \uc5d8\ud504, \ub4dc\uc6cc\ud504, \ub3c5\uc218\ub9ac, \ub9c8\ubc95\uc0ac \uc21c\uc11c\uc774\ub2e4. \ub458\uc9f8 \uc904\uc5d0\ub294 \uc0ac\uc6b0\ub860 \uad70\ub300\uc5d0 \ucc38\uc5ec\ud55c \uc885\uc871\uc758 \uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \uac12 \uc5ed\uc2dc \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc788\uc73c\uba70, \uc624\ud06c, \uc778\uac04, \uc6cc\uadf8, \uace0\ube14\ub9b0, \uc6b0\ub7ed\ud558\uc774, \ud2b8\ub864, \ub9c8\ubc95\uc0ac \uc21c\uc11c\uc774\ub2e4. \ubaa8\ub4e0 \uac12\uc740 \uc74c\uc774 \uc544\ub2cc \uc815\uc218\uc774\uace0, \uac01 \uad70\ub300\uc758 \uc810\uc218\uc758 \ud569\uc740 32\ube44\ud2b8 \uc815\uc218 \uc81c\ud55c\uc744 \ub118\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","output":"<p>\uac01 \uc804\ud22c\uc5d0 \ub300\ud574\uc11c, &quot;Battle&quot;\uacfc \uc804\ud22c \ubc88\ud638\ub97c \ucd9c\ub825\ud55c\ub2e4. \uadf8 \ub2e4\uc74c\uc5d0 \uac04\ub2ec\ud504\uc758 \uad70\ub300\uac00 \uc774\uae34\ub2e4\uba74 &quot;Good triumphs over Evil&quot;\ub97c, \uc0ac\uc6b0\ub860\uc758 \uad70\ub300\uac00 \uc774\uae34\ub2e4\uba74 &quot;Evil eradicates all trace of Good&quot;, \uc810\uc218\uc758 \ud569\uc774 \uac19\uc544 \uc774\uae30\ub294 \ucabd\uc774 \uc5c6\ub2e4\uba74 &quot;No victor on this battle field&quot;\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"4435","problem_lang":"1","title":"Good Versus Evil","description":"<p>Middle Earth is about to go to war. The forces of good will have many battles with the forces of evil. Di erent races will certainly be involved. Each race has a certain &#39;worth&#39; when battling against others. On the side of good we have the following races, with their associated worth:<\/p>\r\n\r\n<ul>\r\n\t<li>Hobbits - 1<\/li>\r\n\t<li>Men - 2<\/li>\r\n\t<li>Elves - 3<\/li>\r\n\t<li>Dwarves - 3<\/li>\r\n\t<li>Eagles - 4<\/li>\r\n\t<li>Wizards - 10<\/li>\r\n<\/ul>\r\n\r\n<p>On the side of evil we have:<\/p>\r\n\r\n<ul>\r\n\t<li>Orcs - 1<\/li>\r\n\t<li>Men - 2<\/li>\r\n\t<li>Wargs - 2<\/li>\r\n\t<li>Goblins - 2<\/li>\r\n\t<li>Uruk Hai - 3<\/li>\r\n\t<li>Trolls - 5<\/li>\r\n\t<li>Wizards - 10<\/li>\r\n<\/ul>\r\n\r\n<p>Although weather, location, supplies and valor play a part in any battle, if you add up the worth of the side of good and compare it with the worth of the side of evil, the side with the larger worth will tend to win.<\/p>\r\n\r\n<p>Thus, given the count of each of the races on the side of good, followed by the count of each of the races on the side of evil, determine which side wins.<\/p>\r\n","input":"<p>The first line of input will contain an integer greater than 0 signifying the number of battles to process. Information for each battle will consist of two lines of data as follows.<\/p>\r\n\r\n<p>First, there will be a line containing the count of each race on the side of good. Each entry will be separated by a single space. The values will be ordered as follows: Hobbits, Men, Elves, Dwarves, Eagles, Wizards.<\/p>\r\n\r\n<p>The next line will contain the count of each race on the side of evil in the following order: Orcs, Men, Wargs, Goblins, Uruk Hai, Trolls, Wizards.<\/p>\r\n\r\n<p>All values are non-negative integers. The resulting sum of the worth for each side will not exceed the limit of a 32-bit integer.<\/p>\r\n","output":"<p>For each battle, print &quot;Battle&quot; followed by a single space, followed by the battle number starting at 1, followed by a &quot;:&quot;, followed by a single space. Then print &quot;Good triumphs over Evil&quot; if good wins. Print &quot;Evil eradicates all trace of Good&quot; if evil wins. If there is a tie, then print &quot;No victor on this battle field&quot;.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]