시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
4 초 512 MB 79 22 8 19.512%

문제

0번 부터 N-1번까지 번호가 매겨진 학생 N명이 있다. 선생님은 학생들을 위해 날마다 하나 이상의 프로젝트들을 준비한다. 각 프로젝트는 정해진 날에 학생들끼리 모인 팀에 의해 해결되어야한다. 물론 프로젝트들은 서로 다른 난이도를 가질 수 있다. 선생님은 각 프로젝트 별로 난이도에 따라 맡을 팀의 크기를 정해놓았다.

학생들마다 서로 들어갈 수 있는 팀의 크기가 다를 수 있다. 자세히 말하자면 i번 학생은 자신이 속하는 팀의 크기가 A[i]이상 B[i]이하가 되어야 한다. 각 날 별로 한 학생은 최대 하나의 팀에만 속할 수 있으며, 어떤 팀에도 속하지 않은 학생이 나올 수도 있다. 그리고 구성된 하나의 팀은 하나의 프로젝트만 맡는다.

선생님은 이미 다음 Q일 동안의 프로젝트들을 계획해놓았다. 선생님의 계획이 성사되도록 학생들이 팀을 구성할 수 있을지 판단하는 프로그램을 작성하시오.

N = 4명의 학생이 있고, Q = 2일 동안의 계획이 잡혀있다. 그리고 학생들이 속하는 팀 크기의 제한은 아래 표와 같다.

학생 0 1 2 3
A 1 2 2 2
B 2 3 3 4

첫째 날에는 M = 2개의 프로젝트가 계획 되어있다. 그리고 프로젝트를 해결하기 위해 정해놓은 팀의 크기는 K[0] = 1, K[1] = 3이다. 이 계획은 0번 학생이 팀의 크기가 1인 프로젝트에 참여 하고, 나머지 학생들이 팀의 크기가 3인 프로젝트에 참여하면 성사될 수 있다.

둘째 날에도 M = 2개의 프로젝트가 계획되어 있으며, 프로젝트를 해결하기 위해 정해놓은 팀의 크기는 K[0] = 1, K[1] = 1이다. 크기가 1인 팀에 들어갈 수 있는 학생이 한 명 밖에 없으므로이 경우에는 계획이 성사될 수 없다.

모든 학생에 대한 정보가 주어진다: N, A, B와 총 Q개의 날에 해당하는 정보가 주어지는데, 하루 에 하나씩이다. 각 정보는 그날 주어진 프로젝트의 수 M과 길이 M인 수열 K로 이루어지는데, K는 각 프로젝트에 필요한 팀의 크기를 저장하고 있다. 각각의 날마다, 여러분의 프로그램은 모든 팀을 구성할 수 있는지 여부를 리턴해야 한다.

다음 함수 init 와 can을 구현해야 한다:

  • init(N, A, B) — 그레이더는 맨 처음 이 함수를 정확히 한 번만 호출한다.
    • N: 학생의 수.
    • A: 길이가 N인 배열: A[i]는 학생 i가 들어갈 수 있는 최소의 팀 크기이다.
    • B: 길이가 N인 배열: B[i]는 학생 i가 들어갈 수 있는 최대의 팀 크기이다.
    • 이 함수는 리턴 값이 없다.
    • 각 i = 0, ..., N-1 인 경우에 대하여 1 ≤ A[i] ≤ B[i] ≤ N이 만족된다.
  • can(M, K) — init을 일단 호출한 뒤, 그레이더는 이 함수를 차례로 번 연속으로 호출하는데, 각 날짜에 대해서 한번씩 호출한다.
    • M: 이날 잡혀 있는 프로젝트의 수.
    • K: 길이 M인 배열로, 각각의 프로젝트에 정해진 팀 크기.
    • 이 함수의 리턴값은 만약 모든 팀을 구성할 수 있다면 1이고, 그렇지 못하면 0이다.
    • 1 ≤ M ≤ N 을 만족하며, 각각 i = 0, ..., M-1에 대하여 1 ≤ K[i] ≤ N 이다. 모든 K[i] 값들의 총합은 N을 넘을 수 있다.

입력

  • 1번 줄: N
  • 2번 ~ N+1번 줄: A[i] B[i]
  • N+2번 줄: Q
  • N+3 ~ N+Q+2번 줄: M K[0] K[1] … K[M - 1]

S가 모든 can(M, K)의 호출에서 M값들의 총합이라고 했을 때, 1 ≤ N ≤ 500,000, 1 ≤ Q ≤ 200,000, S ≤ 200,000

출력

각 날짜에 대해서 can의 리턴값을 출력한다.

예제 입력 1

4
2 4
1 2
2 3
2 3
2
2 1 3
2 1 1

예제 출력 1

1
0
[{"problem_id":"10921","problem_lang":"0","title":"\ud300\ub4e4","description":"<p>0\ubc88 \ubd80\ud130 N-1\ubc88\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc9c4 \ud559\uc0dd N\uba85\uc774 \uc788\ub2e4. \uc120\uc0dd\ub2d8\uc740 \ud559\uc0dd\ub4e4\uc744 \uc704\ud574 \ub0a0\ub9c8\ub2e4 \ud558\ub098 \uc774\uc0c1\uc758 \ud504\ub85c\uc81d\ud2b8\ub4e4\uc744 \uc900\ube44\ud55c\ub2e4. \uac01 \ud504\ub85c\uc81d\ud2b8\ub294 \uc815\ud574\uc9c4 \ub0a0\uc5d0 \ud559\uc0dd\ub4e4\ub07c\ub9ac \ubaa8\uc778 \ud300\uc5d0 \uc758\ud574 \ud574\uacb0\ub418\uc5b4\uc57c\ud55c\ub2e4. \ubb3c\ub860 \ud504\ub85c\uc81d\ud2b8\ub4e4\uc740 \uc11c\ub85c \ub2e4\ub978 \ub09c\uc774\ub3c4\ub97c \uac00\uc9c8 \uc218 \uc788\ub2e4. \uc120\uc0dd\ub2d8\uc740 \uac01 \ud504\ub85c\uc81d\ud2b8 \ubcc4\ub85c \ub09c\uc774\ub3c4\uc5d0 \ub530\ub77c \ub9e1\uc744 \ud300\uc758 \ud06c\uae30\ub97c \uc815\ud574\ub193\uc558\ub2e4.<\/p>\r\n\r\n<p>\ud559\uc0dd\ub4e4\ub9c8\ub2e4 \uc11c\ub85c \ub4e4\uc5b4\uac08 \uc218 \uc788\ub294 \ud300\uc758 \ud06c\uae30\uac00 \ub2e4\ub97c \uc218 \uc788\ub2e4. \uc790\uc138\ud788 \ub9d0\ud558\uc790\uba74 i\ubc88 \ud559\uc0dd\uc740 \uc790\uc2e0\uc774 \uc18d\ud558\ub294 \ud300\uc758 \ud06c\uae30\uac00 A[i]\uc774\uc0c1 B[i]\uc774\ud558\uac00 \ub418\uc5b4\uc57c \ud55c\ub2e4. \uac01 \ub0a0 \ubcc4\ub85c \ud55c \ud559\uc0dd\uc740 \ucd5c\ub300 \ud558\ub098\uc758 \ud300\uc5d0\ub9cc \uc18d\ud560 \uc218 \uc788\uc73c\uba70, \uc5b4\ub5a4 \ud300\uc5d0\ub3c4 \uc18d\ud558\uc9c0 \uc54a\uc740 \ud559\uc0dd\uc774 \ub098\uc62c \uc218\ub3c4 \uc788\ub2e4. \uadf8\ub9ac\uace0 \uad6c\uc131\ub41c \ud558\ub098\uc758 \ud300\uc740 \ud558\ub098\uc758 \ud504\ub85c\uc81d\ud2b8\ub9cc \ub9e1\ub294\ub2e4.<\/p>\r\n\r\n<p>\uc120\uc0dd\ub2d8\uc740 \uc774\ubbf8 \ub2e4\uc74c Q\uc77c \ub3d9\uc548\uc758 \ud504\ub85c\uc81d\ud2b8\ub4e4\uc744 \uacc4\ud68d\ud574\ub193\uc558\ub2e4. \uc120\uc0dd\ub2d8\uc758 \uacc4\ud68d\uc774 \uc131\uc0ac\ub418\ub3c4\ub85d \ud559\uc0dd\ub4e4\uc774 \ud300\uc744 \uad6c\uc131\ud560 \uc218 \uc788\uc744\uc9c0 \ud310\ub2e8\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>N = 4\uba85\uc758 \ud559\uc0dd\uc774 \uc788\uace0, Q = 2\uc77c \ub3d9\uc548\uc758 \uacc4\ud68d\uc774 \uc7a1\ud600\uc788\ub2e4. \uadf8\ub9ac\uace0 \ud559\uc0dd\ub4e4\uc774 \uc18d\ud558\ub294 \ud300 \ud06c\uae30\uc758 \uc81c\ud55c\uc740 \uc544\ub798 \ud45c\uc640 \uac19\ub2e4.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:30%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>\ud559\uc0dd<\/th>\r\n\t\t\t<th>0<\/th>\r\n\t\t\t<th>1<\/th>\r\n\t\t\t<th>2<\/th>\r\n\t\t\t<th>3<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th>A<\/th>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<th>B<\/th>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>4<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>\uccab\uc9f8 \ub0a0\uc5d0\ub294 M = 2\uac1c\uc758 \ud504\ub85c\uc81d\ud2b8\uac00 \uacc4\ud68d \ub418\uc5b4\uc788\ub2e4. \uadf8\ub9ac\uace0 \ud504\ub85c\uc81d\ud2b8\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud574 \uc815\ud574\ub193\uc740 \ud300\uc758 \ud06c\uae30\ub294 K[0] = 1, K[1] = 3\uc774\ub2e4. \uc774 \uacc4\ud68d\uc740 0\ubc88 \ud559\uc0dd\uc774 \ud300\uc758 \ud06c\uae30\uac00 1\uc778 \ud504\ub85c\uc81d\ud2b8\uc5d0 \ucc38\uc5ec \ud558\uace0, \ub098\uba38\uc9c0 \ud559\uc0dd\ub4e4\uc774 \ud300\uc758 \ud06c\uae30\uac00 3\uc778 \ud504\ub85c\uc81d\ud2b8\uc5d0 \ucc38\uc5ec\ud558\uba74 \uc131\uc0ac\ub420 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ub458\uc9f8 \ub0a0\uc5d0\ub3c4 M = 2\uac1c\uc758 \ud504\ub85c\uc81d\ud2b8\uac00 \uacc4\ud68d\ub418\uc5b4 \uc788\uc73c\uba70, \ud504\ub85c\uc81d\ud2b8\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud574 \uc815\ud574\ub193\uc740 \ud300\uc758 \ud06c\uae30\ub294 K[0] = 1, K[1] = 1\uc774\ub2e4. \ud06c\uae30\uac00 1\uc778 \ud300\uc5d0 \ub4e4\uc5b4\uac08 \uc218 \uc788\ub294 \ud559\uc0dd\uc774 \ud55c \uba85 \ubc16\uc5d0 \uc5c6\uc73c\ubbc0\ub85c\uc774 \uacbd\uc6b0\uc5d0\ub294 \uacc4\ud68d\uc774 \uc131\uc0ac\ub420 \uc218 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \ud559\uc0dd\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4: N, A, B\uc640 \ucd1d Q\uac1c\uc758 \ub0a0\uc5d0 \ud574\ub2f9\ud558\ub294 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c0\ub294\ub370, \ud558\ub8e8 \uc5d0 \ud558\ub098\uc529\uc774\ub2e4. \uac01 \uc815\ubcf4\ub294 \uadf8\ub0a0 \uc8fc\uc5b4\uc9c4 \ud504\ub85c\uc81d\ud2b8\uc758 \uc218 M\uacfc \uae38\uc774 M\uc778 \uc218\uc5f4 K\ub85c \uc774\ub8e8\uc5b4\uc9c0\ub294\ub370, K\ub294 \uac01 \ud504\ub85c\uc81d\ud2b8\uc5d0 \ud544\uc694\ud55c \ud300\uc758 \ud06c\uae30\ub97c \uc800\uc7a5\ud558\uace0 \uc788\ub2e4. \uac01\uac01\uc758 \ub0a0\ub9c8\ub2e4, \uc5ec\ub7ec\ubd84\uc758 \ud504\ub85c\uadf8\ub7a8\uc740 \ubaa8\ub4e0 \ud300\uc744 \uad6c\uc131\ud560 \uc218 \uc788\ub294\uc9c0 \uc5ec\ubd80\ub97c \ub9ac\ud134\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c \ud568\uc218 init \uc640 can\uc744 \uad6c\ud604\ud574\uc57c \ud55c\ub2e4:<\/p>\r\n\r\n<ul>\r\n\t<li>init(N, A, B) &mdash; \uadf8\ub808\uc774\ub354\ub294 \ub9e8 \ucc98\uc74c \uc774 \ud568\uc218\ub97c \uc815\ud655\ud788 \ud55c \ubc88\ub9cc \ud638\ucd9c\ud55c\ub2e4.\r\n\t<ul>\r\n\t\t<li>N: \ud559\uc0dd\uc758 \uc218.<\/li>\r\n\t\t<li>A: \uae38\uc774\uac00 N\uc778 \ubc30\uc5f4: A[i]\ub294 \ud559\uc0dd i\uac00 \ub4e4\uc5b4\uac08 \uc218 \uc788\ub294 \ucd5c\uc18c\uc758 \ud300 \ud06c\uae30\uc774\ub2e4.<\/li>\r\n\t\t<li>B: \uae38\uc774\uac00 N\uc778 \ubc30\uc5f4: B[i]\ub294 \ud559\uc0dd i\uac00 \ub4e4\uc5b4\uac08 \uc218 \uc788\ub294 \ucd5c\ub300\uc758 \ud300 \ud06c\uae30\uc774\ub2e4.<\/li>\r\n\t\t<li>\uc774 \ud568\uc218\ub294 \ub9ac\ud134 \uac12\uc774 \uc5c6\ub2e4.<\/li>\r\n\t\t<li>\uac01 i = 0, ..., N-1 \uc778 \uacbd\uc6b0\uc5d0 \ub300\ud558\uc5ec 1 &le; A[i] &le; B[i] &le; N\uc774 \ub9cc\uc871\ub41c\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>can(M, K) &mdash; init\uc744 \uc77c\ub2e8 \ud638\ucd9c\ud55c \ub4a4, \uadf8\ub808\uc774\ub354\ub294 \uc774 \ud568\uc218\ub97c \ucc28\ub840\ub85c \ubc88 \uc5f0\uc18d\uc73c\ub85c \ud638\ucd9c\ud558\ub294\ub370, \uac01 \ub0a0\uc9dc\uc5d0 \ub300\ud574\uc11c \ud55c\ubc88\uc529 \ud638\ucd9c\ud55c\ub2e4.\r\n\t<ul>\r\n\t\t<li>M: \uc774\ub0a0 \uc7a1\ud600 \uc788\ub294 \ud504\ub85c\uc81d\ud2b8\uc758 \uc218.<\/li>\r\n\t\t<li>K: \uae38\uc774 M\uc778 \ubc30\uc5f4\ub85c, \uac01\uac01\uc758 \ud504\ub85c\uc81d\ud2b8\uc5d0 \uc815\ud574\uc9c4 \ud300 \ud06c\uae30.<\/li>\r\n\t\t<li>\uc774 \ud568\uc218\uc758 \ub9ac\ud134\uac12\uc740 \ub9cc\uc57d \ubaa8\ub4e0 \ud300\uc744 \uad6c\uc131\ud560 \uc218 \uc788\ub2e4\uba74 1\uc774\uace0, \uadf8\ub807\uc9c0 \ubabb\ud558\uba74 0\uc774\ub2e4.<\/li>\r\n\t\t<li>1 &le; M &le; N \uc744 \ub9cc\uc871\ud558\uba70, \uac01\uac01 i = 0, ..., M-1\uc5d0 \ub300\ud558\uc5ec 1 &le; K[i] &le; N \uc774\ub2e4. \ubaa8\ub4e0 K[i] \uac12\ub4e4\uc758 \ucd1d\ud569\uc740 N\uc744 \ub118\uc744 \uc218 \uc788\ub2e4.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n<\/ul>\r\n","input":"<ul>\r\n\t<li>1\ubc88 \uc904: N<\/li>\r\n\t<li>2\ubc88 ~ N+1\ubc88 \uc904: A[i] B[i]<\/li>\r\n\t<li>N+2\ubc88 \uc904: Q<\/li>\r\n\t<li>N+3 ~ N+Q+2\ubc88 \uc904: M K[0] K[1] &hellip; K[M - 1]<\/li>\r\n<\/ul>\r\n\r\n<p>S\uac00 \ubaa8\ub4e0 can(M, K)\uc758 \ud638\ucd9c\uc5d0\uc11c M\uac12\ub4e4\uc758 \ucd1d\ud569\uc774\ub77c\uace0 \ud588\uc744 \ub54c,&nbsp;1 &le; N &le; 500,000, 1 &le; Q &le; 200,000, S &le; 200,000<\/p>\r\n","output":"<p>\uac01 \ub0a0\uc9dc\uc5d0 \ub300\ud574\uc11c can\uc758 \ub9ac\ud134\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"10921","problem_lang":"1","title":"Teams","description":"<p>There is a class of N students, numbered 0 through N-1. Every day the teacher of the class has some projects for the students. Each project has to be completed by a team of students within the same day. The projects may have various difficulty. For each project, the teacher knows the exact size of a team that should work on it.<\/p>\r\n\r\n<p>Different students may prefer different team sizes. More precisely, student can only be assigned to a team of size between A[i] and B[i] inclusive. On each day, a student may be assigned to at most one team. Some students might not be assigned to any teams. Each team will work on a single project.<\/p>\r\n\r\n<p>The teacher has already chosen the projects for each of the next Q days. For each of these days, determine whether it is possible to assign students to teams so that there is one team working on each project.<\/p>\r\n\r\n<p>Suppose there are N = 4 students and Q = 2 days. The students&rsquo; constraints on team sizes are given in the table below.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"line-height:20.7999992370605px; width:246px\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>Student<\/th>\r\n\t\t\t<th>0<\/th>\r\n\t\t\t<th>1<\/th>\r\n\t\t\t<th>2<\/th>\r\n\t\t\t<th>3<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th>A<\/th>\r\n\t\t\t<td>1<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>2<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<th>B<\/th>\r\n\t\t\t<td>2<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>3<\/td>\r\n\t\t\t<td>4<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>On the first day there are M = 2 projects. The required team sizes are K[0] = 1 and K[1] = 3. These two teams can be formed by assigning student 0 to a team of size 1 and the remaining three students to a team of size 3.<\/p>\r\n\r\n<p>On the second day there are M = 2 projects again, but this time the required team sizes are K[0] = 1 and K[1] = 1. In this case it is not possible to form the teams, as there is only one student who can be in a team of size 1.<\/p>\r\n\r\n<p>You are given the description of allstudents: N, A, and B, as well as a sequence of Q questions &mdash; one about each day. Each question consists of the number M of projects on that day and a sequence K of length M containing the required team sizes. For each question, your program must return whether it is possible to form all the teams.<\/p>\r\n\r\n<p>You need to implement the functions init and can:<\/p>\r\n\r\n<ul>\r\n\t<li>init(N, A, B) &mdash; The grader will call this function first and exactly once.\r\n\t<ul>\r\n\t\t<li>N: the number of students.<\/li>\r\n\t\t<li>A: an array of length N: A[i] is the minimum team size for student i.<\/li>\r\n\t\t<li>B: an array of length N: B[i] is the maximum team size for student i.<\/li>\r\n\t\t<li>The function has no return value.<\/li>\r\n\t\t<li>You may assume that 1 &le; A[i] &le; B[i] &le; N for each i = 0, ..., N-1.<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>can(M, K) &mdash; After calling init once, the grader will call this function Q times in a row, once for each day.\r\n\t<ul>\r\n\t\t<li>M: the number of projects for this day.<\/li>\r\n\t\t<li>K: an array of length M containing the required team size for each of these projects.<\/li>\r\n\t\t<li>The function should return 1 if it is possible to form all the required teams and 0 otherwise.<\/li>\r\n\t\t<li>You may assume that 1 &le; M &le; N, and that for each i = 0, ..., M-1 we have 1 &le; K[i] &le; N. Note that the sum of all K[i] may exceed N.<\/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>lines 2, &hellip;, N + 1: A[i] B[i]<\/li>\r\n\t<li>line N + 2: Q<\/li>\r\n\t<li>lines N + 3, &hellip;, N + Q + 2: M K[0] K[1] &hellip; K[M - 1]<\/li>\r\n<\/ul>\r\n\r\n<p>Let us denote by the sum of values of M in all calls to can(M, K).&nbsp;1 &le; N &le; 500,000, 1 &le; Q &le; 200,000, S &le; 200,000<\/p>\r\n","output":"<p>For each question, prints the return value of can.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

Olympiad > International Olympiad in Informatics > IOI 2015 3번