Logo
(追記) (追記ここまで)

31436번 - 시험공부 계획 세우기 서브태스크다국어

시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 1024 MB163474535.714%

문제

KSA의 일부 학생들은 자신이 좋아하는 분야만 더 깊게 파려 하는 경향이 있다. 민우가 시험 기간 동안 공부해야 하는 과목 $N$개를 순서대로 1,ドル 2, \cdots, N$이라 번호를 붙이고 과목 $i$의 공부량을 음이 아닌 정수 $s_i$라 하자.

민우는 각 $i$에 대해, 과목 $i$를 적어도 과목 $A_i$만큼 공부하고 싶어 한다. 즉, $s_i \geq s_{A_i}$여야 한다. ($A_i$의 값이 $i$일 수 있다.)

민우는 총 학점이 $\sum_{i=1}^N B_i s_i$에 비례한다고 믿는다. 시험을 망치기도, 공부를 과하게 하기도 싫어하므로 $X \leq \sum_{i=1}^N B_i s_i \leq Y$가 성립하도록 하고 싶어 한다.

$N,ドル $X,ドル $Y$의 값과 $A_1, \cdots, A_N,ドル $B_1, \cdots, B_N$가 주어졌을 때, 위 조건을 만족하는 공부 계획의 수를 구하여라.

다시 말해서 다음 조건을 만족하는 수열 $s$의 개수를 구하여라.

  • 수열의 길이는 $N$이며, 음이 아닌 정수로 구성된다.
  • $s_i \geq s_{A_i}$이다.
  • $X \leq \sum_{i=1}^N B_i s_i \leq Y$이다.

입력

첫 번째 줄에 세 개의 정수 $N,ドル $X,ドル $Y$가 공백으로 구분되어 주어진다.

두 번째 줄에 $N$개의 정수 $A_1, A_2, \cdots, A_N$가 공백으로 구분되어 주어진다.

세 번째 줄에 $N$개의 정수 $B_1, B_2, \cdots, B_N$가 공백으로 구분되어 주어진다.

출력

문제의 정답을 998ドル,244円,353円$으로 나눈 나머지를 출력한다.

제한

  • 1ドル \leq N \leq 1000$
  • 1ドル \leq X \leq Y \leq 10^5$
  • 1ドル \leq A_i \leq N$
  • 1ドル \leq B_i \leq 10^5$

서브태스크

번호배점제한
16

$A_i = i$

219

$A_i = \min (i+1, N);$ $Y \leq 100$

322

$Y \leq 100$

425

$A_i = \min (i+1, N)$

528

추가 제한 조건 없음

예제 입력 1

3 12 15
1 2 3
3 5 7

예제 출력 1

9

예제 입력 2

3 19 19
2 3 3
1 2 4

예제 출력 2

14

힌트

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

출처

School > 한국과학영재학교 > 2024 KSA Automata Winter Contest E번

채점 및 기타 정보

  • 예제는 채점하지 않는다.
(追記) (追記ここまで)

출처

대학교 대회

  • 사업자 등록 번호: 541-88-00682
  • 대표자명: 최백준
  • 주소: 서울시 서초구 서초대로74길 29 서초파라곤 412호
  • 전화번호: 02-521-0487 (이메일로 연락 주세요)
  • 이메일: contacts@startlink.io
  • 통신판매신고번호: 제 2017-서울서초-2193 호

AltStyle によって変換されたページ (->オリジナル) /