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Increasing Triplet Subsequence

Last Updated: 19 Mar, 2021
Difficulty: Easy


Try Problem

Ninja is thinking of developing a game based on “Teen Patti” where a user will be provided with some number ‘N’ or in technical terms with an array “ARR[i]” and the user has to find out if there exists a triplet of indices (i, j, k) such that ‘i < j < k’ and ‘ARR[i] < ARR[j] <ARR[k]’ holds true. If such a pair of indices exists the user has to return ‘True’ else he has to return ‘False’.

Your task is to help Ninja find out such triplets indices.

Input Format:

The first line contains an integer 'T' which denotes the number of test cases or queries to be run.

The first line of each test case contains a single integer ‘N’ denoting the size of the array.

The next line contains ‘N’ space-separated strings denoting the values of elements of the given array.

Output Format:

For each test case, print a single line containing ‘True’ or ‘False’  as per the given condition.

The output of each test case will be printed in a separate line.
You do not need to print anything; it has already been taken care of. Just implement the function.


1 <= T <= 5
1 <= N <= 5000
0 <= i <  j <  k <= N
1 <= ARR[i] <= 10 ^ 9  

Where ‘T’ represents the number of test cases and ‘N’ represents the size of array 'i', 'j', 'k' represents the triplets indices, and ‘ARR[i]’ represents the elements of the array.

Time Limit: 1 second .