시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 452 112 84 27.451%

문제

유토피아의 왕이 사망했다. 왕은 자손을 남기지 않고 사망했기 때문에, 왕위를 계승할 사람을 지목하지 않았다. 왕실 귀족은 왕위를 주장하기 시작했다. 유토피아의 법에는 왕의 계승자가 없는 경우에, 나라를 세운 사람과 혈통이 가까운 사람이 유토피아를 통치한다는 조항이 있다.

나라를 세운 사람과 혈통이 가장 가까운 사람은 그의 자손이 아닌 사람과 피가 덜 섞인 사람이다. 모든 사람은 아버지의 혈통과 어머니의 혈통을 반 씩 받게 된다. 나라를 세운 사람의 자식은 1/2 왕족이며, 그 아들이 왕족이 아닌 사람과 결혼한 경우에는 아들의 자식은 1/4 왕족이 된다.

가장 나라를 세운 사람과 혈통이 가까운 사람을 찾는 프로그램을 작성하시오. 

입력

첫째 줄에 N과 M이 주어진다. (2 ≤ N, M ≤ 50)

둘째 줄에 유토피아를 세운 사람의 이름이 주어진다.

다음 N개 줄에는 가족 정보가 주어진다. 정보는 이름 세 개로 이루어져 있고, 공백으로 구분되어져 있다. 첫 번째 이름은 자식의 이름이고, 뒤의 두 이름은 부모의 이름이다.

다음 M개 줄에는 왕위를 계승받기를 주장하는 사람의 이름이 한 줄에 하나씩 주어진다.

모든 이름은 1~10글자이며, 알파벳 소문자로만 이루어져 있다. 나라를 세운 사람이 왕위를 계승하는 경우나, 누군가의 자식인 경우는 없다. 

출력

첫째 줄에 유토피아를 세운 사람과 가장 혈통이 가까운 사람의 이름을 출력한다. 항상 답이 유일한 경우만 입력으로 주어진다.

문제에 주어지는 가족 관계는 성별, 나이를 고려하지 않고 만들었기 때문에, 실제로는 말이 안되는 경우가 나올 수도 있다. 하지만, 모든 자식의 부모는 유일하며, 다시 자식이 부모의 부모가 되는 경우도 없다. 또, 한 사람이 여러 명의 자식이 될 수 도 없다.

예제 입력 1

9 2
edwardi
charlesi edwardi diana
philip charlesi mistress
wilhelm mary philip
matthew wilhelm helen
edwardii charlesi laura
alice laura charlesi
helen alice bernard
henrii edwardii roxane
charlesii elizabeth henrii
charlesii
matthew

예제 출력 1

matthew
[{"problem_id":"5021","problem_lang":"0","title":"\uc655\uc704 \uacc4\uc2b9","description":"<p>\uc720\ud1a0\ud53c\uc544\uc758 \uc655\uc774 \uc0ac\ub9dd\ud588\ub2e4. \uc655\uc740 \uc790\uc190\uc744 \ub0a8\uae30\uc9c0 \uc54a\uace0 \uc0ac\ub9dd\ud588\uae30 \ub54c\ubb38\uc5d0, \uc655\uc704\ub97c \uacc4\uc2b9\ud560 \uc0ac\ub78c\uc744 \uc9c0\ubaa9\ud558\uc9c0 \uc54a\uc558\ub2e4. \uc655\uc2e4 \uadc0\uc871\uc740 \uc655\uc704\ub97c \uc8fc\uc7a5\ud558\uae30 \uc2dc\uc791\ud588\ub2e4. \uc720\ud1a0\ud53c\uc544\uc758 \ubc95\uc5d0\ub294 \uc655\uc758 \uacc4\uc2b9\uc790\uac00 \uc5c6\ub294 \uacbd\uc6b0\uc5d0, \ub098\ub77c\ub97c \uc138\uc6b4 \uc0ac\ub78c\uacfc \ud608\ud1b5\uc774 \uac00\uae4c\uc6b4 \uc0ac\ub78c\uc774 \uc720\ud1a0\ud53c\uc544\ub97c \ud1b5\uce58\ud55c\ub2e4\ub294 \uc870\ud56d\uc774 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ub098\ub77c\ub97c \uc138\uc6b4 \uc0ac\ub78c\uacfc \ud608\ud1b5\uc774 \uac00\uc7a5 \uac00\uae4c\uc6b4 \uc0ac\ub78c\uc740 \uadf8\uc758 \uc790\uc190\uc774 \uc544\ub2cc \uc0ac\ub78c\uacfc \ud53c\uac00 \ub35c \uc11e\uc778 \uc0ac\ub78c\uc774\ub2e4. \ubaa8\ub4e0 \uc0ac\ub78c\uc740 \uc544\ubc84\uc9c0\uc758 \ud608\ud1b5\uacfc \uc5b4\uba38\ub2c8\uc758 \ud608\ud1b5\uc744 \ubc18 \uc529 \ubc1b\uac8c \ub41c\ub2e4. \ub098\ub77c\ub97c \uc138\uc6b4 \uc0ac\ub78c\uc758 \uc790\uc2dd\uc740 1\/2 \uc655\uc871\uc774\uba70, \uadf8 \uc544\ub4e4\uc774 \uc655\uc871\uc774 \uc544\ub2cc \uc0ac\ub78c\uacfc \uacb0\ud63c\ud55c \uacbd\uc6b0\uc5d0\ub294 \uc544\ub4e4\uc758 \uc790\uc2dd\uc740 1\/4 \uc655\uc871\uc774 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uac00\uc7a5 \ub098\ub77c\ub97c \uc138\uc6b4 \uc0ac\ub78c\uacfc \ud608\ud1b5\uc774 \uac00\uae4c\uc6b4 \uc0ac\ub78c\uc744 \ucc3e\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.&nbsp;<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 N\uacfc M\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. (2 &le; N, M &le; 50)<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0 \uc720\ud1a0\ud53c\uc544\ub97c \uc138\uc6b4 \uc0ac\ub78c\uc758 \uc774\ub984\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c N\uac1c \uc904\uc5d0\ub294 \uac00\uc871 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc815\ubcf4\ub294 \uc774\ub984 \uc138 \uac1c\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uace0, \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4\uc838 \uc788\ub2e4. \uccab \ubc88\uc9f8 \uc774\ub984\uc740 \uc790\uc2dd\uc758 \uc774\ub984\uc774\uace0, \ub4a4\uc758 \ub450 \uc774\ub984\uc740 \ubd80\ubaa8\uc758 \uc774\ub984\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c M\uac1c \uc904\uc5d0\ub294 \uc655\uc704\ub97c \uacc4\uc2b9\ubc1b\uae30\ub97c \uc8fc\uc7a5\ud558\ub294 \uc0ac\ub78c\uc758 \uc774\ub984\uc774 \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \uc774\ub984\uc740 1~10\uae00\uc790\uc774\uba70, \uc54c\ud30c\ubcb3 \uc18c\ubb38\uc790\ub85c\ub9cc \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \ub098\ub77c\ub97c \uc138\uc6b4 \uc0ac\ub78c\uc774 \uc655\uc704\ub97c \uacc4\uc2b9\ud558\ub294 \uacbd\uc6b0\ub098, \ub204\uad70\uac00\uc758 \uc790\uc2dd\uc778 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.&nbsp;<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc720\ud1a0\ud53c\uc544\ub97c \uc138\uc6b4 \uc0ac\ub78c\uacfc \uac00\uc7a5 \ud608\ud1b5\uc774 \uac00\uae4c\uc6b4 \uc0ac\ub78c\uc758 \uc774\ub984\uc744 \ucd9c\ub825\ud55c\ub2e4. \ud56d\uc0c1 \ub2f5\uc774 \uc720\uc77c\ud55c \uacbd\uc6b0\ub9cc \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ubb38\uc81c\uc5d0 \uc8fc\uc5b4\uc9c0\ub294 \uac00\uc871 \uad00\uacc4\ub294 \uc131\ubcc4, \ub098\uc774\ub97c \uace0\ub824\ud558\uc9c0 \uc54a\uace0 \ub9cc\ub4e4\uc5c8\uae30 \ub54c\ubb38\uc5d0, \uc2e4\uc81c\ub85c\ub294 \ub9d0\uc774 \uc548\ub418\ub294 \uacbd\uc6b0\uac00 \ub098\uc62c \uc218\ub3c4 \uc788\ub2e4. \ud558\uc9c0\ub9cc, \ubaa8\ub4e0 \uc790\uc2dd\uc758 \ubd80\ubaa8\ub294 \uc720\uc77c\ud558\uba70, \ub2e4\uc2dc \uc790\uc2dd\uc774 \ubd80\ubaa8\uc758 \ubd80\ubaa8\uac00 \ub418\ub294 \uacbd\uc6b0\ub3c4 \uc5c6\ub2e4. \ub610, \ud55c \uc0ac\ub78c\uc774 \uc5ec\ub7ec \uba85\uc758 \uc790\uc2dd\uc774 \ub420 \uc218 \ub3c4 \uc5c6\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"5021","problem_lang":"1","title":"Succession","description":"<p>The king in Utopia has died without an heir. Now several nobles in the country claim the throne. The country law states that if the ruler has no heir, the person who is most related to the founder of the country should rule.<\/p>\r\n\r\n<p>To determine who is most related we measure the amount of blood in the veins of a claimant that comes from the founder. A person gets half the blood from the father and the other half from the mother. A child to the founder would have 1\/2 royal blood, that child&#39;s child with another parent who is not of royal lineage would have 1\/4 royal blood, and so on. The person with most blood from the founder is the one most related.<\/p>\r\n","input":"<p>The first line contains two integers, N (2 &le; N &le; 50) and M (2 &le; M &le; 50).<\/p>\r\n\r\n<p>The second line contains the name of the founder of Utopia.<\/p>\r\n\r\n<p>Then follows N lines describing a family relation. Each such line contains three names, separated with a single space. The first name is a child and the remaining two names are the parents of the child.<\/p>\r\n\r\n<p>Then follows M lines containing the names of those who claims the throne.<\/p>\r\n\r\n<p>All names in the input will be between 1 and 10 characters long and only contain the lowercase English letters &#39;a&#39;-&#39;z&#39;. The founder will not appear among the claimants, nor be described as a child to someone else.<\/p>\r\n","output":"<p>A single line containing the name of the claimant with most blood from the founder. The input will be constructed so that the answer is unique.<\/p>\r\n\r\n<p>The family relations may not be realistic when considering sex, age etc. However, every child will have two unique parents and no one will be a descendent from themselves. No one will be listed as a child twice.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]