题目描述

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

输入格式

* 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

输出格式

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

题目大意

约翰准备教他的奶牛们弹一首歌。这首歌由 $N$ 个音阶组成，第 $i$ 个音阶要敲击 $B_i$ 次。奶牛从第 $0$ 时刻开始弹，因此他从 $0$ 时刻到 $B_i-1$ 时刻都是敲第 $1$ 个音阶，然后他从 $B_1$ 时刻到 $B_1+B_2-1$ 时刻敲第 $2$ 个音阶，从 $B_1+B_2$ 到 $B_1+B_2+B_3-1$ 时刻敲第 $3$ 个音阶……现在有 $Q$ 个问题：在时间段区间 $T$，$T+1$ 内，奶牛敲的是哪个音阶?

$1\le N\le 50000$，$1\le Q\le 50000$，$1\le B_i\le 10000$。

3 5 
2 
1 
3 
2 
3 
4 
0 
1 

2 
3 
3 
1 
1