New start day 3: 2/10/2020. October long codechef CHEFEZQ

question: (source:https://www.codechef.com/OCT20B/problems/CHEFEZQ)

Chef and Easy Queries

Chef published a blog post and is now receiving many queries about it. On dayi, he receives Qi queries. But Chef can answer at most k queries in a single day.

Chef always answers the maximum number of questions that he can on any given day (note however that this cannot be more thank). The remaining questions (if any) will be carried over to the next day.

Fortunately, after n days, the queries have stopped. Chef would like to know the first day during which he has some free time, i.e. the first day when he answered less than k questions.

Input:

  • First line will containT, the number of testcases. Then the testcases follow.
  • The first line of each testcase contains two space separated integers n and k.
  • The second line of each testcase contains n space separated integers, namely Q1,Q2,...Qn.

Output:

For each testcase, output in a single line the first day during which chef answers less than k questions.

Constraints

  • 1≤T≤105
  • 1≤ sum of n over all testcases ≤105
  • 1≤k≤108
  • 0≤Qi≤108

Subtasks

  • Subtask 1 - 20% points - Sum of Qi over all testcases and days ≤3.106
  • Subtask 2 - 80% points - Original constraints

Sample Input:

2 
6 5 
10 5 5 3 2 1 
1 1
100

Sample Output:

6
101

Explanation:

Test Case 1

On the first day, chef answers 5 questions and leaves the remaining 5 (out of the 10) for the future days.

On the second day, chef has 10 questions waiting to be answered (5 received on the second day and 5 unanswered questions from day 1). Chef answers 5 of these questions and leaves the remaining 5 for the future.

On the third day, chef has 10 questions waiting to be answered (5 received on the third day and 5 unanswered questions from earlier). Chef answers 5 of these questions and leaves the remaining 5 for later.

On the fourth day, chef has 8 questions waiting to be answered (3 received on the fourth day and 5 unanswered questions from earlier). Chef answers 5 of these questions and leaves the remaining 3 for later.

On the fifth day, chef has 5 questions waiting to be answered (2 received on the fifth day and 3 unanswered questions from earlier). Chef answers all 5 of these questions.

On the sixth day, chef has 1 question, which he answers. This is the first day he answers less than 5 questions, and so the answer is 6.

Test Case 2

Chef answers 1 question a day for the first 100 days. On day 101, he is free.


My Logic: I kept calculating the total task in hand for each day while taking inputs. and in case of any day I have less than k queries that the number of day is my answer. In case all days queries have been finished and yet tasks are more than k then divide the total task remaining by k and add to it n which is total number of days chef received queries.

My code:


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