SDE - Intern

You have been given a binary tree of 'N' nodes. Print the Spiral Order traversal of this binary tree.

For example

For the given binary tree [1, 2, 3, -1, -1, 4, 5, -1, -1, -1, -1]
    1
   / \
  2   3
     / \
    4   5

Output: 1 3 2 4 5

You are given a 2D matrix 'ARR' (containing either ‘0’ or ‘1’) of size 'N' x 'M', where each row is in sorted order.

Find the 0-based index of the first row with the maximum number of 1's.

Note :

If two rows have the same number of 1’s, return the row with a lower index.

If no row exists where at-least one '1' is present, return -1.

Example:

Input: ‘N’ = 3, 'M' = 3
'ARR' = 
[     [ 1,  1,  1 ],
      [ 0,  0,  1 ],
      [ 0,  0,  0 ]   ]

Output: 0

Explanation: The 0th row of the given matrix has the maximum number of ones.

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 have been given a grid containing some oranges. Each cell of this grid has one of the three integers values:

Value 0 - representing an empty cell.

Value 1 - representing a fresh orange.

Value 2 - representing a rotten orange.

Every second, any fresh orange that is adjacent(4-directionally) to a rotten orange becomes rotten.

Your task is to find out the minimum time after which no cell has a fresh orange. If it's impossible to rot all the fresh oranges then print -1.

Note:

1. The grid has 0-based indexing.
2. A rotten orange can affect the adjacent oranges 4 directionally i.e. Up, Down, Left, Right.