시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 16 MB 56 24 19 46.341%

문제

0, ... , n-1로 번호가 매겨진 n명의 사람으로 구성된 소셜 네트워크를 만들자. 이 네트워크에 있는 사람들 중 어떤 쌍은 서로 친구가 된다. 즉, 사람 x가 사람 y의 친구가 되면, 사람 y도 사람 x의 친구가 된다.

사람들은 n 단계를 거쳐서 네트워크에 추가되는데, 각 단계를 0부터 n-1로 번호를 매기자. 사람 i는 단계 i에 추가된다. 단계 0에서, 사람 0은 이 네트워크에 있는 유일한 사람으로 추가된다. 다음 n-1개의 각 단계에서, 초대자가 새로 사람 하나를 네트워크에 추가한다. 초대자는 이 단계에 네트워크에 이미 들어와 있는 사람 중 하나이다. 단계 i에서 (0 < i < n), 이 단계의 초대자는 새로 들어오는 사람 를 다음 프로토콜 중 하나를 사용하여 네트워크에 추가한다.

  • IAmYourFriend는 사람 i를 초대자의 친구로만 등록한다.
  • MyFriendsAreYourFriends는 사람 i를 초대자의 현재 모든 친구의 친구로 등록한다. 이 경우 사람 i는 초대자의 친구가 아니다.
  • WeAreYourFriends는 사람 i를 초대자와, 초대자의 현재 모든 친구의 친구로 등록한다.

네트워크를 다 만든 다음에는 설문을 위해서 표본을 구하고자 한다. 표본은 네트워크에 속한 사람들로 구성된 모임이다. 친구끼리는 서로 좋아하는 것이 비슷하기 때문에, 표본에 속하는 사람들 중에는 서로 친구인 쌍이 있으면 안된다. 각 사람마다 설문에서 쓰이는 신뢰도가 있는데, 이는 양의 정수로 표현된다. 우리는 신뢰도의 총합이 최대인 표본을 구하려 한다.

단계 초대자 프로토콜 추가되는 친구 관계
1 0 IAmYourFriend (1, 0)
2 0 MyFriendsAreYourFriends (2, 1)
3 1 WeAreYourFriends (3, 1), (3, 0), (3, 2)
4 2 MyFriendsAreYourFriends (4, 1), (4, 3)
5 0 IAmYourFriend (5, 0)

처음 네트워크에는 사람 0만 있다. 단계 1의 초대자(사람 0)는 새로 사람 1을 IAmYourFriend 프로토콜로 추가해서, 서로 친구가 된다. 단계 2의 초대자(이번에도 사람 0)는 사람 2를 MyFriendsAreYourFriends로 추가하는데,사람 1(초대자의 유일한 친구)이 사람 2의 유일한 친구가 된다. 단계 3의 초대자(사람 1)는 사람 3을WeAreYourFriends로 추가하는데, 사람 3은 사람 1(초대자)과 사람 0, 2 (초대자의 친구들)의 친구가 된다. 단계 4와 단계 5도 표에 보인 바와 같다. 최종적인 네트워크는 다음 그림과 같고, 동그라미 안의 숫자는 사람의 번호이고, 동그라미 아래의 숫자는 이 사람의 신뢰도를 나타낸다. 사람 3과 5로 이루어진 표본의 신뢰도의 총합은 20 + 15 = 35인데, 이는 가능한 신뢰도의 총합 중 최대이다.

각 단계의 기술과 각 사람의 신뢰도가 주어졌을 때, 신뢰도의 총합이 최대인 표본을 구하시오.

입력

첫째 줄에 사람의 수 n이 주어진다.

둘째 줄에 각 사람의 신뢰도가 공백으로 구분되어 주어진다.

셋째 줄에는 각 단계의 정보가 host1 protocol1 host2 protocol2 ... hostn-1 protocoln-1과 같은 형식으로 주어진다. (단계 0에는 초대자가 없기 때문에 host0과 protocol0은 주어지지 않는다) host는 i번 단계의 초대자이고, protocol의 값이 0이면 IAmYourFriend, 1이면 MyFriendsAreYourFriends, 2이면 WeAreYourFriends 프로토콜이다.

문제는 다음 두 조건 중 하나이다.

  • 2 ≤ n ≤ 1,000, 1 ≤ 신뢰도 ≤ 1,000,000
  • 2 ≤ n ≤ 100,000, 1 ≤ 신뢰도 ≤ 10,000

출력

신뢰도의 총합이 최대인 표본에 대한 신뢰도의 총합을 출력한다.

예제 입력 1

6
13 3 6 20 10 15
0 0 0 1 1 2 2 1 0 0

예제 출력 1

35
[{"problem_id":"10075","problem_lang":"0","title":"\uce5c\uad6c","description":"<p>0, ... , n-1\ub85c \ubc88\ud638\uac00 \ub9e4\uaca8\uc9c4 n\uba85\uc758 \uc0ac\ub78c\uc73c\ub85c \uad6c\uc131\ub41c \uc18c\uc15c \ub124\ud2b8\uc6cc\ud06c\ub97c \ub9cc\ub4e4\uc790. \uc774 \ub124\ud2b8\uc6cc\ud06c\uc5d0 \uc788\ub294 \uc0ac\ub78c\ub4e4 \uc911 \uc5b4\ub5a4 \uc30d\uc740 \uc11c\ub85c \uce5c\uad6c\uac00 \ub41c\ub2e4. \uc989, \uc0ac\ub78c x\uac00 \uc0ac\ub78c y\uc758 \uce5c\uad6c\uac00 \ub418\uba74, \uc0ac\ub78c y\ub3c4 \uc0ac\ub78c x\uc758 \uce5c\uad6c\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc0ac\ub78c\ub4e4\uc740 n \ub2e8\uacc4\ub97c \uac70\uccd0\uc11c \ub124\ud2b8\uc6cc\ud06c\uc5d0 \ucd94\uac00\ub418\ub294\ub370, \uac01 \ub2e8\uacc4\ub97c 0\ubd80\ud130 n-1\ub85c \ubc88\ud638\ub97c \ub9e4\uae30\uc790. \uc0ac\ub78c i\ub294 \ub2e8\uacc4 i\uc5d0 \ucd94\uac00\ub41c\ub2e4. \ub2e8\uacc4 0\uc5d0\uc11c, \uc0ac\ub78c 0\uc740 \uc774 \ub124\ud2b8\uc6cc\ud06c\uc5d0 \uc788\ub294 \uc720\uc77c\ud55c \uc0ac\ub78c\uc73c\ub85c \ucd94\uac00\ub41c\ub2e4. \ub2e4\uc74c n-1\uac1c\uc758 \uac01 \ub2e8\uacc4\uc5d0\uc11c, \ucd08\ub300\uc790\uac00 \uc0c8\ub85c \uc0ac\ub78c \ud558\ub098\ub97c \ub124\ud2b8\uc6cc\ud06c\uc5d0 \ucd94\uac00\ud55c\ub2e4. \ucd08\ub300\uc790\ub294 \uc774 \ub2e8\uacc4\uc5d0 \ub124\ud2b8\uc6cc\ud06c\uc5d0 \uc774\ubbf8 \ub4e4\uc5b4\uc640 \uc788\ub294 \uc0ac\ub78c \uc911 \ud558\ub098\uc774\ub2e4. \ub2e8\uacc4 i\uc5d0\uc11c (0 &lt; i &lt; n), \uc774 \ub2e8\uacc4\uc758 \ucd08\ub300\uc790\ub294 \uc0c8\ub85c \ub4e4\uc5b4\uc624\ub294 \uc0ac\ub78c \ub97c \ub2e4\uc74c \ud504\ub85c\ud1a0\ucf5c \uc911 \ud558\ub098\ub97c \uc0ac\uc6a9\ud558\uc5ec \ub124\ud2b8\uc6cc\ud06c\uc5d0 \ucd94\uac00\ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>IAmYourFriend\ub294 \uc0ac\ub78c i\ub97c \ucd08\ub300\uc790\uc758 \uce5c\uad6c\ub85c\ub9cc \ub4f1\ub85d\ud55c\ub2e4.<\/li>\r\n\t<li>MyFriendsAreYourFriends\ub294 \uc0ac\ub78c i\ub97c \ucd08\ub300\uc790\uc758 \ud604\uc7ac \ubaa8\ub4e0 \uce5c\uad6c\uc758 \uce5c\uad6c\ub85c \ub4f1\ub85d\ud55c\ub2e4. \uc774 \uacbd\uc6b0 \uc0ac\ub78c i\ub294 \ucd08\ub300\uc790\uc758 \uce5c\uad6c\uac00 \uc544\ub2c8\ub2e4.<\/li>\r\n\t<li>WeAreYourFriends\ub294 \uc0ac\ub78c i\ub97c \ucd08\ub300\uc790\uc640, \ucd08\ub300\uc790\uc758 \ud604\uc7ac \ubaa8\ub4e0 \uce5c\uad6c\uc758 \uce5c\uad6c\ub85c \ub4f1\ub85d\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\ub124\ud2b8\uc6cc\ud06c\ub97c \ub2e4 \ub9cc\ub4e0 \ub2e4\uc74c\uc5d0\ub294 \uc124\ubb38\uc744 \uc704\ud574\uc11c \ud45c\ubcf8\uc744 \uad6c\ud558\uace0\uc790 \ud55c\ub2e4. \ud45c\ubcf8\uc740 \ub124\ud2b8\uc6cc\ud06c\uc5d0 \uc18d\ud55c \uc0ac\ub78c\ub4e4\ub85c \uad6c\uc131\ub41c \ubaa8\uc784\uc774\ub2e4. \uce5c\uad6c\ub07c\ub9ac\ub294 \uc11c\ub85c \uc88b\uc544\ud558\ub294 \uac83\uc774 \ube44\uc2b7\ud558\uae30 \ub54c\ubb38\uc5d0, \ud45c\ubcf8\uc5d0 \uc18d\ud558\ub294 \uc0ac\ub78c\ub4e4 \uc911\uc5d0\ub294 \uc11c\ub85c \uce5c\uad6c\uc778 \uc30d\uc774 \uc788\uc73c\uba74 \uc548\ub41c\ub2e4. \uac01 \uc0ac\ub78c\ub9c8\ub2e4 \uc124\ubb38\uc5d0\uc11c \uc4f0\uc774\ub294 \uc2e0\ub8b0\ub3c4\uac00 \uc788\ub294\ub370, \uc774\ub294 \uc591\uc758 \uc815\uc218\ub85c \ud45c\ud604\ub41c\ub2e4. \uc6b0\ub9ac\ub294 \uc2e0\ub8b0\ub3c4\uc758 \ucd1d\ud569\uc774 \ucd5c\ub300\uc778 \ud45c\ubcf8\uc744 \uad6c\ud558\ub824 \ud55c\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:50%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>\ub2e8\uacc4<\/th>\r\n\t\t\t<th>\ucd08\ub300\uc790<\/th>\r\n\t\t\t<th>\ud504\ub85c\ud1a0\ucf5c<\/th>\r\n\t\t\t<th>\ucd94\uac00\ub418\ub294 \uce5c\uad6c \uad00\uacc4<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>IAmYourFriend<\/td>\r\n\t\t\t<td>(1, 0)<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>MyFriendsAreYourFriends<\/td>\r\n\t\t\t<td>(2, 1)<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>WeAreYourFriends<\/td>\r\n\t\t\t<td>(3, 1), (3, 0), (3, 2)<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>MyFriendsAreYourFriends<\/td>\r\n\t\t\t<td>(4, 1), (4, 3)<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>5<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>IAmYourFriend<\/td>\r\n\t\t\t<td>(5, 0)<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\ucc98\uc74c \ub124\ud2b8\uc6cc\ud06c\uc5d0\ub294 \uc0ac\ub78c 0\ub9cc \uc788\ub2e4. \ub2e8\uacc4 1\uc758 \ucd08\ub300\uc790(\uc0ac\ub78c 0)\ub294 \uc0c8\ub85c \uc0ac\ub78c 1\uc744 IAmYourFriend \ud504\ub85c\ud1a0\ucf5c\ub85c \ucd94\uac00\ud574\uc11c, \uc11c\ub85c \uce5c\uad6c\uac00 \ub41c\ub2e4. \ub2e8\uacc4 2\uc758 \ucd08\ub300\uc790(\uc774\ubc88\uc5d0\ub3c4 \uc0ac\ub78c 0)\ub294 \uc0ac\ub78c 2\ub97c MyFriendsAreYourFriends\ub85c \ucd94\uac00\ud558\ub294\ub370,\uc0ac\ub78c 1(\ucd08\ub300\uc790\uc758 \uc720\uc77c\ud55c \uce5c\uad6c)\uc774 \uc0ac\ub78c 2\uc758 \uc720\uc77c\ud55c \uce5c\uad6c\uac00 \ub41c\ub2e4. \ub2e8\uacc4 3\uc758 \ucd08\ub300\uc790(\uc0ac\ub78c 1)\ub294 \uc0ac\ub78c 3\uc744WeAreYourFriends\ub85c \ucd94\uac00\ud558\ub294\ub370, \uc0ac\ub78c 3\uc740 \uc0ac\ub78c 1(\ucd08\ub300\uc790)\uacfc \uc0ac\ub78c 0, 2 (\ucd08\ub300\uc790\uc758 \uce5c\uad6c\ub4e4)\uc758 \uce5c\uad6c\uac00 \ub41c\ub2e4. \ub2e8\uacc4 4\uc640 \ub2e8\uacc4 5\ub3c4 \ud45c\uc5d0 \ubcf4\uc778 \ubc14\uc640 \uac19\ub2e4. \ucd5c\uc885\uc801\uc778 \ub124\ud2b8\uc6cc\ud06c\ub294 \ub2e4\uc74c \uadf8\ub9bc\uacfc \uac19\uace0, \ub3d9\uadf8\ub77c\ubbf8 \uc548\uc758 \uc22b\uc790\ub294 \uc0ac\ub78c\uc758 \ubc88\ud638\uc774\uace0, \ub3d9\uadf8\ub77c\ubbf8 \uc544\ub798\uc758 \uc22b\uc790\ub294 \uc774 \uc0ac\ub78c\uc758 \uc2e0\ub8b0\ub3c4\ub97c \ub098\ud0c0\ub0b8\ub2e4. \uc0ac\ub78c 3\uacfc 5\ub85c \uc774\ub8e8\uc5b4\uc9c4 \ud45c\ubcf8\uc758 \uc2e0\ub8b0\ub3c4\uc758 \ucd1d\ud569\uc740 20 + 15 = 35\uc778\ub370, \uc774\ub294 \uac00\ub2a5\ud55c \uc2e0\ub8b0\ub3c4\uc758 \ucd1d\ud569 \uc911 \ucd5c\ub300\uc774\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/friend.png\" style=\"height:193px; width:320px\" \/><\/p>\r\n\r\n<p>\uac01 \ub2e8\uacc4\uc758 \uae30\uc220\uacfc \uac01 \uc0ac\ub78c\uc758 \uc2e0\ub8b0\ub3c4\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc2e0\ub8b0\ub3c4\uc758 \ucd1d\ud569\uc774 \ucd5c\ub300\uc778 \ud45c\ubcf8\uc744 \uad6c\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \uc0ac\ub78c\uc758 \uc218 n\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \uc904\uc5d0 \uac01 \uc0ac\ub78c\uc758 \uc2e0\ub8b0\ub3c4\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc14b\uc9f8 \uc904\uc5d0\ub294 \uac01 \ub2e8\uacc4\uc758 \uc815\ubcf4\uac00 host<sub>1<\/sub> protocol<sub>1<\/sub> host<sub>2<\/sub> protocol<sub>2<\/sub> ... host<sub>n-1<\/sub> protocol<sub>n-1<\/sub>\uacfc \uac19\uc740 \ud615\uc2dd\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. (\ub2e8\uacc4 0\uc5d0\ub294 \ucd08\ub300\uc790\uac00 \uc5c6\uae30 \ub54c\ubb38\uc5d0 host<sub>0<\/sub>\uacfc protocol<sub>0<\/sub>\uc740 \uc8fc\uc5b4\uc9c0\uc9c0 \uc54a\ub294\ub2e4) host\ub294 i\ubc88 \ub2e8\uacc4\uc758 \ucd08\ub300\uc790\uc774\uace0, protocol\uc758 \uac12\uc774 0\uc774\uba74 IAmYourFriend, 1\uc774\uba74 MyFriendsAreYourFriends, 2\uc774\uba74 WeAreYourFriends \ud504\ub85c\ud1a0\ucf5c\uc774\ub2e4.<\/p>\r\n\r\n<p>\ubb38\uc81c\ub294 \ub2e4\uc74c \ub450 \uc870\uac74 \uc911 \ud558\ub098\uc774\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>2 &le; n &le; 1,000, 1 &le; \uc2e0\ub8b0\ub3c4 &le; 1,000,000<\/li>\r\n\t<li>2 &le; n &le; 100,000, 1 &le; \uc2e0\ub8b0\ub3c4 &le; 10,000<\/li>\r\n<\/ul>\r\n","output":"<p>\uc2e0\ub8b0\ub3c4\uc758 \ucd1d\ud569\uc774 \ucd5c\ub300\uc778 \ud45c\ubcf8\uc5d0 \ub300\ud55c \uc2e0\ub8b0\ub3c4\uc758 \ucd1d\ud569\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"10075","problem_lang":"1","title":"Friend","description":"<p>We build a social network from n people numbered 0, ... , n-1. Some pairs of people in the network will be friends. If person x becomes a friend of person y, then person y also becomes a friend of person x.<\/p>\r\n\r\n<p>The people are added to the network in n stages, which are also numbered from 0 to n-1. Person i is added in stage i. In stage 0, person 0 is added as the only person of the network. In each of the next n-1 stages, a person is added to the network by a host, who may be any person already in the network. At stage i (0 &lt; i &lt; n), the host for that stage can add the incoming person i into the network by one of the following three protocols:<\/p>\r\n\r\n<ul>\r\n\t<li><em>IAmYourFriend<\/em> makes person i a friend of the host only.<\/li>\r\n\t<li><em>MyFriendsAreYourFriends<\/em> makes person i a friend of each person, who is a friend of the host at this moment. Note that this protocol does not make person i a friend of the host.<\/li>\r\n\t<li><em>WeAreYourFriends<\/em> makes person i a friend of the host, and also a friend of each person, who is a friend of the host at this moment.<\/li>\r\n<\/ul>\r\n\r\n<p>After we build the network we would like to pick a sample for a survey, that is, choose a group of people from the network. Since friends usually have similar interests, the sample should not include any pair of people who are friends with each other. Each person has a survey confidence, expressed as a positive integer, and we would like to find a sample with the maximum total confidence.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:411px\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>stage<\/th>\r\n\t\t\t<th>host<\/th>\r\n\t\t\t<th>protocol<\/th>\r\n\t\t\t<th>friend relation added<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>IAmYourFriend<\/td>\r\n\t\t\t<td>(1, 0)<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>MyFriendsAreYourFriends<\/td>\r\n\t\t\t<td>(2, 1)<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>WeAreYourFriends<\/td>\r\n\t\t\t<td>(3, 1), (3, 0), (3, 2)<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>4<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>MyFriendsAreYourFriends<\/td>\r\n\t\t\t<td>(4, 1), (4, 3)<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>5<\/td>\r\n\t\t\t<td>0<\/td>\r\n\t\t\t<td>IAmYourFriend<\/td>\r\n\t\t\t<td>(5, 0)<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>Initially the network contains only person 0. The host of stage 1 (person 0) invites the new person 1 through the IAmYourFriend protocol, hence they become friends. The host of stage 2 (person 0 again) invites person 2 by MyFriendsAreYourFriends, which makes person 1 (the only friend of the host) the only friend of person 2. The host of stage 3 (person 1) adds person 3 through WeAreYourFriends, which makes person 3 a friend of person 1 (the host) and people 0 and 2 (the friends of the host). Stages 4 and 5 are also shown in the table above. The final network is shown in the following figure, in which the numbers inside the circles show the labels of people, and the numbers next to the circles show the survey confidence. The sample consisting of people 3 and 5 has totalsurvey confidence equal to 20 + 15 = 35, which is the maximum possible total confidence.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/friend.png\" style=\"height:193px; width:320px\" \/><\/p>\r\n\r\n<p>Given the description of each stage and the confidence value of each person, find a sample with the maximum total confidence.<\/p>\r\n\r\n<ul>\r\n\t<li>findSample(n, confidence, host, protocol)\r\n\t<ul>\r\n\t\t<li>n: the number of people.<\/li>\r\n\t\t<li>confidence: array of length n; confidence[i] gives the confidence value of person i.<\/li>\r\n\t\t<li>host: array of length n; host[i] gives the host of stage i.<\/li>\r\n\t\t<li>protocol: array of length n; protocol[i] gives the protocol code used in stage i (0 &lt; i &lt; n): 0 for IAmYourFriend, 1 for MyFriendsAreYourFriends, and 2 for WeAreYourFriends.<\/li>\r\n\t\t<li>Since there is no host in stage 0, host[0] and protocol[0] are undefined and should not be accessed by your program.<\/li>\r\n\t\t<li>The function should return the maximum possible total confidence of a sample.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n","input":"<ul>\r\n\t<li>line 1: n<\/li>\r\n\t<li>line 2: confidence[0], ..., confidence[n-1]<\/li>\r\n\t<li>line 3: host[1], protocol[1], host[2], protocol[2], ..., host[n-1], protocol[n-1]<\/li>\r\n<\/ul>\r\n","output":"<p>Print return value of function&nbsp;findSample.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]