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Problem

Submissions

Maximum Difference in Positions

Contributed by

Arindam Majumder

Last Updated: 23 Feb, 2023

Medium

0/80

Avg time to solve 30 mins

Success Rate 70 %

2 upvotes

Problem Statement

There are ‘N’ students sitting in a row each having some marks that they have obtained in the previous examinations. You have to find the maximum difference in the position of two students such that the second student has marks greater or equal to the first student. Formerly, You have to find the maximum value of ‘j’ - ‘i’ such that ‘i’ < ‘j’ and arr[ i ] <= arr[ j ].

Note:

Return 0, if there are no such two students present.

Detailed explanation ( Input/output format, Notes, Images )

Input Format:

The first line contains a single integer ‘T’ representing the number of test cases. 
The first line of each test case will contain a single integer ‘N’ which denotes the number of students in the row.
The second line of each test case contains the ‘N’ space-separated integers in which the “i-th” number represents the marks of the “i-th” student.

Output Format:

For each test case, print the maximum difference between the two students described above. If, there are no such students then print 0.

Output for every test case will be printed in a separate line.

Note:

You don’t need to print anything; It has already been taken care of.

Constraints:

1 <= T <= 50
2 <= N <= 10000
0 <= arr[ i ] <= 10^5

Where ‘T’ is the number of test cases.
Where 'N' is the number of students in the row and “arr[ i ]” denotes the marks of “i-th” student.

Time limit: 1 sec

Sample Input 1:

2
3
1 2 3
8
4 3 2 8 1 3 3 3

Sample Output 1:

2
6

Explanation of sample input 1:

In the first test case, the students with marks 1 and 3 ( 1<= 3) have the maximum difference between their positions.

In the second test case, the students with marks 3 and 3 ( 3<= 3) have the maximum difference between their positions, 7 - 1 = 6.

Sample Input 2:

Sample Output 2:

1
0

Explanation for sample input 2:

In the first test case, the students with marks 5 and 6 ( 5 <= 6) have the maximum difference between their positions.

In the second test case, there are no such students present.

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