Chef & Easy Queries(Solution)-Codechef October Long Challenge Solution

Question

Chef published a blog post, and is now receiving many queries about it. On day i, 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 than k). 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 contain T, the number of testcases. Then the testcases follow.

Output:

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

Constraints

  • 1≤T≤10⁵

Subtasks

  • Subtask 1–20% points — Sum of Qi over all testcases and days ≤3.106≤3.106

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.

Solution

import java.util.*;
import java.lang.*;
import java.io.*;
class Codechef
{
public static void main (String[] args) throws java.lang.Exception
{
Scanner sc = new Scanner(System.in);
long t = sc.nextLong();

while(t > 0){
int n = sc.nextInt();
long k = sc.nextLong();
long arr[] = new long[n];
long sum =0,day=0,flag=0;
for(int i=0;i<n;i++){
arr[i] = sc.nextLong();
sum += arr[i];
}

for(int i=0;i<n-1;i++){
if(arr[i] < k){
flag =1;
day =i;
break;
}
arr[i+1] += (arr[i]-k);
}


if(flag == 1){
System.out.println(day+1);
}
else{
day = (sum / k)+1;
System.out.println(day);
}

t--;
}
}
}

This solution is Just for the understanding of logic after the contest is over. In no way I urge you to cheat in the contest. Remember these challenges are only for learning.

Question Link
https://www.codechef.com/OCT20B/problems/CHEFEZQ

Software Developer ,currently pursuing B.Tech in Information Technology. Electronic Dance Music is love.Also like all phone related technologies