如果发现广告等破坏行为,请尽量将条目恢复到较早的版本而不是把相应内容直接删除,谢谢合作。

USACO/mnotes

来自"NOCOW"

跳转到: 导航, 搜索

Problem 7: Music Notes [Neal Wu, 2008]

FJ is going to teach his cows how to play a song. The song consists of N (1 <= N <= 50,000) notes, and the i-th note lasts for B_i (1 <= B_i <= 10,000) beats (thus no song is longer than 500,000,000 beats). The cows will begin playing the song at time 0; thus, they will play note 1 from time 0 through just before time B_1, note 2 from time B_1 through just before time B_1 + B_2, etc.

However, recently the cows have lost interest in the song, as they feel that it is too long and boring. Thus, to make sure his cows are paying attention, he asks them Q (1 <= Q <= 50,000) questions of the form, "In the interval from time T through just before time T+1, which note should you be playing?" The cows need your help to answer these questions which are supplied as T_i (0 <= T_i <= end_of_song).

Consider this song with three notes of durations 2, 1, and 3 beats:

Beat: 0 1 2 3 4 5 6 ...

       |----|----|----|----|----|----|--- ...
       1111111111     :              :
                 22222:              :
                      333333333333333:

Here is a set of five queries along with the resulting answer:

  Query    Note
    2        2
    3        3
    4        3
    0        1
    1        1

PROBLEM NAME: mnotes

INPUT FORMAT:

  • Line 1: Two space-separated integers: N and Q
  • Lines 2..N+1: Line i+1 contains the single integer: B_i
  • Lines N+2..N+Q+1: Line N+i+1 contains a single integer: T_i

SAMPLE INPUT (file mnotes.in):

3 5 2 1 3 2 3 4 0 1

OUTPUT FORMAT:

  • Lines 1..Q: For each query, print a single integer that is the index
       of the note that the cows should be playing.

SAMPLE OUTPUT (file mnotes.out):

2 3 3 1 1

个人工具