There is an array of n numbers and after m number of steps, one needs to answer the query. In every step from 1 to m, we calculate the cumulative sum. Then queries are asked, which index contains which number in the array.
For example, if n = 5, m = 3, the array = 2,4,3,9,1
we conduct the m steps.
[2,6,9,18,19]
[2,8,15,33,52]
[2,10,25,58,110]
If the query is 2, the answer will be 25.
Constraints: 1<=n,m<=10^5
How can I solve this problem?
N.B: It just came to my mind. I didn't find any such problem in any OJ. If you can, please provide the link. And sorry for bad english.