시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 512 MB66022619838.077%

문제

???: 가지라니, 비슷하지도 않잖아요...

NLCS Jeju에서는 파묻튀(파마산을 묻혀 튀긴 소고기)를 서빙하는 것을 좋아한다.

그러나, 학생들은 파묻튀보다는 신선한 가지를 먹고 싶어한다!

급식실에 $N$명의 학생들이 차례로 서 있다. 줄의 앞에서부터 $i$번째 학생이 가지 대신 파묻튀를 받았을 경우 $x_i$만큼 불만도가 늘어나고, 가지를 받았을 경우에는 $x_i$만큼 불만도가 내려간다. 단, 불만도의 초깃값은 $0$이다.

음식을 앞에 서있는 학생부터 순서대로 서빙할 때, 어떤 한 순간이라도 불만도가 $M$ 이상이 되면 학생들은 ‘가지 운동’을 일으키게 된다.

가지 운동을 일으키지 않게 하기 위한 가지의 최소 개수를 구하는 프로그램을 작성하시오.

입력

첫 번째 줄에 $N$과 $M$이 공백으로 구분되어 주어진다.

두 번째 줄에 $x_i$를 나타내는 $N$개의 정수가 공백으로 구분되어 주어진다.

출력

첫 번째 줄에 학생들이 가지 운동을 일으키지 않게 하기 위한 가지의 최소 개수를 출력한다.

제한

  • $1 \leq N \leq 200\,000$
  • $1 \leq M \leq 10^9$
  • $0 \leq x_i \leq 10^9$

예제 입력 1

5 3
0 0 2 0 2

예제 출력 1

1

예제 입력 2

10 90
14 6 12 16 14 6 20 19 16 12

예제 출력 2

2
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

출처

High School > NLCS Jeju > GEC-Cup F번