Analyst Trainee

You are given a matrix ‘ARR’ with ‘N’ rows and ‘M’ columns. Your task is to find the maximum sum rectangle in the matrix.

Maximum sum rectangle is a rectangle with the maximum value for the sum of integers present within its boundary, considering all the rectangles that can be formed from the elements of that matrix.

For Example

Consider following matrix:

The rectangle (1,1) to (3,3) is the rectangle with the maximum sum, i.e. 29.

You are given an array consisting of N positive integers, and your task is to sort the array in decreasing order of count of set bits in the binary representation of the integers present in the array.

In other words, you have to modify the array such that an integer with more number of set bits should appear before the integer which has lesser number of set bits in its binary representation.

The number of set bits is nothing but the number of 1s present in the binary representation of the integer. For example, the number of set bits in 5(0101) is equal to 2.

Note :

1. If any two numbers have the same count of set bits, then in the sorted array they will appear in the order in which they appear in the original array. For example, let the array be { 2, 4, 3}, in this case, both 2 and 4 have the same number of set bits so the answer will be {3, 2, 4} and not {3, 4, 2}, because in the original array 2 appears before 4.

2. The array may contain duplicate elements.

You are given a string ‘str’ of even length. Your task is to find out if we divide the ‘str’ from the middle, will both the substrings contain an equal number of vowels or not.

For Example:

You are given, ‘str’= ‘codingninjas’, when we split this string we get, ‘coding’ and ‘ninjas’ which both contain 2 vowels each. Hence the answer is ‘True’.