SDE - 2

Given two sorted arrays 'a' and 'b' of size 'n' and 'm' respectively.

Find the median of the two sorted arrays.

Median is defined as the middle value of a sorted list of numbers. In case the length of list is even, median is the average of the two middle elements.

The expected time complexity is O(min(logn, logm)), where 'n' and 'm' are the sizes of arrays 'a' and 'b', respectively, and the expected space complexity is O(1).

Example:

Input: 'a' = [2, 4, 6] and 'b' = [1, 3, 5]

Output: 3.5

Explanation: The array after merging 'a' and 'b' will be { 1, 2, 3, 4, 5, 6 }. Here two medians are 3 and 4. So the median will be the average of 3 and 4, which is 3.5.

You are given an 'N * N' matrix of integers where each row and each column is sorted in increasing order. You are given a target integer 'X'.

Find the position of 'X' in the matrix. If it exists then return the pair {i, j} where 'i' represents the row and 'j' represents the column of the array, otherwise return {-1,-1}

For example:

If the given matrix is:
[ [1, 2, 5],
  [3, 4, 9],
  [6, 7, 10]] 
We have to find the position of 4. We will return {1,1} since A[1][1] = 4.

You have been given a non-empty grid consisting of only 0s and 1s. You have to find the number of islands in the given grid.

An island is a group of 1s (representing land) connected horizontally, vertically or diagonally. You can assume that all four edges of the grid are surrounded by 0s (representing water).

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